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Jungfraujoch/image_analysis/scale_merge/Merge.cpp
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leonarski_fandClaude Opus 5.5 5c5eb00904 Merge statistics: R_meas weighted as the merge weights each observation
The delta-CC1/2 disposition keeps a weak stretch in the merge (downgraded)
wherever removing it would not raise CC1/2, and the merge then carries each
of its observations at the small 1/sigma^2 its scaled-up counting error gives
it. R_meas counted those observations at full weight, so the frames that add
next to nothing to the intensities set the number. hq-pool battery: 8xtf kept
115 weak frames (scale 0.1-0.2 of the run's) with the same CC1/2, <I/sigma>
and CC_model per shell as rc173 with 84 frames rejected, and R_meas was
1.3-1.5x higher in every shell; 9w3y (33 deg rejected -> 0, every model
metric better) and lyso_x10sa_strong read the
same way. The disposition itself is not segmentation-dependent: conviction
is on the batch grid, not the ledger ranges, and those sets' dispositions
changed because the corrected data changed.

R_meas now weights each observation by its merge weight v = 1/sigma^2 under
the error model (corrected_sigma on the host, ModelSigma on the GPU, with the
error model of the last MergeAccum), normalised per reflection to Kish's
effective count, so equal sigmas give the ordinary formula
(WeightedRmeasTerms). Where the proportional term dominates - strong
reflections - frames are weighted alike, as in the merge: 8xtf's lowest shell
reads 15.0%, the rc173 run with 84 frames rejected 15.2%. The per-hand table
is weighted the same way. R_MEAS_UNWEIGHTED / REFRES_R_MEAS_UNWEIGHTED keep
the XDS/AIMLESS convention and are what to set beside XDS; the battery scorer
records them. MULTIPLICITY stays a count.

Effect (weighted / unweighted): lyso_x06da_ref 0.0454 / 0.0479, 8xtf
0.225 / 0.907, insu_I_x06da_ref REFRES 0.072 / 0.232. GPU and CPU paths agree
to the last printed digit on lyso_x06da_ref.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01D1G8gJVAy6gp1K5Dz3NE5C
2026-09-25 04:52:24 +02:00

853 lines
36 KiB
C++

// SPDX-FileCopyrightText: 2025 Filip Leonarski, Paul Scherrer Institute <filip.leonarski@psi.ch>
// SPDX-License-Identifier: GPL-3.0-only
#include "Merge.h"
#include <algorithm>
#include <cmath>
#include <limits>
#include <unordered_map>
#include <spdlog/fmt/fmt.h>
#include <gemmi/reciproc.hpp>
#include "../../common/CorrelationCoefficient.h"
#include "../../common/ResolutionShells.h"
#include "../../common/Definitions.h"
#include "HKLKey.h"
#include "RfreeFlags.h"
#include "FrenchWilson.h"
namespace {
// Which half-set an observation prefers: a splitmix64 bit-mix of the image's stable index, so the
// preference is a function of image identity rather than a draw from a shared RNG. The preference
// is overridden where it would unbalance a reflection's two halves (see AddImage), which makes the
// half a reflection's observations end up in depend on the order AddImage sees them in - image
// order, every caller being a serial loop over the images.
int HalfForImage(int64_t image_id) {
uint64_t z = static_cast<uint64_t>(image_id) + 0x9e3779b97f4a7c15ULL;
z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9ULL;
z = (z ^ (z >> 27)) * 0x94d049bb133111ebULL;
z = z ^ (z >> 31);
return static_cast<int>(z & 1ULL);
}
}
MergeOnTheFly::MergeOnTheFly(const DiffractionExperiment &x)
: space_group(x.GetSpaceGroupOrP1()),
scaling_settings(x.GetScalingSettings()),
indexing_settings(x.GetIndexingSettings()),
high_resolution_limit(scaling_settings.GetHighResolutionLimit_A()),
low_resolution_limit(scaling_settings.GetLowResolutionLimit_A()),
// A min-image-CC of 0 (the default) means "no limit": leave the optional
// empty so the per-image CC cut is inactive. Otherwise a 0.0 threshold
// would silently drop every image with a non-positive per-image CC.
image_cc_limit(scaling_settings.GetMinCCForImage() > 0.0
? std::optional<double>(scaling_settings.GetMinCCForImage())
: std::nullopt),
min_partiality(scaling_settings.GetMinPartiality()),
generator(scaling_settings.GetMergeFriedel(), space_group),
reject_outliers(scaling_settings.GetOutlierRejectNsigma() > 0.0),
reject_nsigma(scaling_settings.GetOutlierRejectNsigma()) {
}
MergeOnTheFly &MergeOnTheFly::ReferenceCell(const std::optional<UnitCell> &cell) {
reference_cell = cell;
return *this;
}
void MergeOnTheFly::AddImage(const IntegrationOutcome &outcome, int64_t image_id) {
std::unique_lock ul(merged_mutex);
if (Mask(outcome))
return;
const int prefer = HalfForImage(image_id);
for (const auto &r: outcome.reflections) {
if (generator.IsSystematicallyAbsent(r))
continue;
if (r.image_scale_corr <= 0.0 || !std::isfinite(r.image_scale_corr))
continue;
if (!AcceptReflection(r, high_resolution_limit, low_resolution_limit))
continue;
if (exclude_ice_rings && r.on_ice_ring)
continue;
if (r.partiality < min_partiality)
continue;
const float I_corr = r.I * r.image_scale_corr;
float sigma_corr = r.sigma * r.image_scale_corr;
if (!std::isfinite(I_corr) || !std::isfinite(sigma_corr) || sigma_corr <= 0.0)
continue;
auto hkl = generator(r);
auto hkl_key = hkl.pack();
sigma_corr = CorrectedSigma(I_corr, sigma_corr, r.image_scale_corr, r.var_bkg, hkl_key);
// Robust outlier rejection: drop this observation if it sits more than
// reject_nsigma error-model sigmas from the reflection's median. Needs the active
// error model so sigma_corr reflects the real scatter (else the threshold is the
// bare counting sigma and would cull good partials).
if (reject_outliers && error_model_active) {
const auto mit = reject_median_I.find(hkl_key);
if (mit != reject_median_I.end() &&
std::fabs(I_corr - mit->second) > reject_nsigma * sigma_corr) {
++reject_count;
continue;
}
}
auto it = accumulator.find(hkl_key);
if (it == accumulator.end())
it = accumulator.emplace(hkl_key, MergeAccum{
.h = hkl.plus ? hkl.h : -hkl.h,
.k = hkl.plus ? hkl.k : -hkl.k,
.l = hkl.plus ? hkl.l : -hkl.l,
}).first;
const float w = 1.0f / (sigma_corr * sigma_corr);
const float wI = w * I_corr;
it->second.sum_wI += wI;
it->second.sum_w += w;
// CC1/2 correlates the two half-set means, so a reflection whose observations all land in one
// half has no second mean and drops out of the statistic entirely. Taking the image's own
// preference only while it keeps the two counts within one of each other splits every
// reflection floor(n/2) against ceil(n/2), which is the split cctbx and XDS use.
const int half = it->second.n_half[prefer] > it->second.n_half[1 - prefer]
? 1 - prefer : prefer;
it->second.sum_wI_half[half] += wI;
it->second.sum_w_half[half] += w;
it->second.n_half[half]++;
if (r.on_ice_ring)
it->second.on_ice_ring = true;
if (!std::isfinite(it->second.d) && std::isfinite(r.d) && r.d > 0.0f)
it->second.d = r.d;
}
}
float MergeOnTheFly::CorrectedSigma(float I_corr, float sigma_corr, float image_scale_corr,
float var_bkg,
uint64_t hkl_key) const {
if (!error_model_active)
return sigma_corr;
// Intensity for the (b*I)^2 term: the reflection's mean (constant over its
// observations), falling back to this observation only if the mean is unknown.
const auto it = error_model_mean_I.find(hkl_key);
const double I_for_b = (it != error_model_mean_I.end()) ? it->second : I_corr;
// Base variance for the a*sigma^2 term. A weak observation's sigma^2 = a background/read part plus a
// Poisson signal part proportional to its OWN intensity; weighting the merge by 1/sigma^2 with that
// per-observation sigma biases the inverse-variance mean low at <1 photon (an up-fluctuated observation
// gets a larger sigma and is over-downweighted, so the weighted mean drifts below <I>). Rebuild the
// signal part at the reflection's EXPECTED intensity <I> instead - decompose out the background part
// and re-add corr*<I> - so the weight no longer correlates with the observation's own fluctuation. This
// mirrors the rotation combine in RotationScaleMerge::process_rawrun and is bit-identical when the
// observation sits at its reflection mean.
// The signal part removed here is the one the observation's own sigma actually carries, so it is
// taken at max(0, I): a negative intensity has no Poisson signal to subtract, and subtracting it
// anyway ADDS to the background part and inflates the weight of exactly the down-fluctuated
// observations this correction exists to stop being mistreated.
double a_var = static_cast<double>(sigma_corr) * sigma_corr;
if (scaling_settings.GetExpectedVarianceMerge()) {
const double bkg_var = static_cast<double>(image_scale_corr) * image_scale_corr * var_bkg;
const double base = bkg_var + static_cast<double>(image_scale_corr) * std::max(0.0, I_for_b);
if (base > 0.0)
a_var = base;
}
const double v = error_model_a * a_var
+ (error_model_b * I_for_b) * (error_model_b * I_for_b);
return (v > 0.0) ? static_cast<float>(std::sqrt(v)) : sigma_corr;
}
void MergeOnTheFly::RefineErrorModel(const std::vector<IntegrationOutcome> &outcomes) {
// Reset to identity up front: every early return below then leaves the model
// inactive (CorrectedSigma returns sigma unchanged) rather than keeping a stale
// a/b from a previous call alongside a freshly-cleared mean map.
// Median of the chi-square(1) distribution: a single observation's squared deviation from its
// reflection mean, divided by its variance, is chi-square(1)-distributed, so its median is this
// fraction of its mean. Used both to de-bias the median-based variance fit and to normalize the
// reported median reduced chi^2 so that honestly calibrated sigmas give 1.0 (not 0.4549).
constexpr double CHI2_1_MEDIAN = 0.454936;
error_model_active = false;
error_model_a = 1.0;
error_model_b = 0.0;
error_model_chi2 = 0.0;
error_model_mean_I.clear();
reject_median_I.clear();
reject_count = 0;
// --- 1. Collect accepted, scaled observations grouped by symmetry-equivalent hkl,
// applying exactly the filters AddImage uses. ---
struct Obs { float I, sigma; };
std::unordered_map<uint64_t, std::vector<Obs>> groups;
for (const auto &outcome: outcomes) {
if (Mask(outcome))
continue;
for (const auto &r: outcome.reflections) {
if (generator.IsSystematicallyAbsent(r))
continue;
if (r.image_scale_corr <= 0.0 || !std::isfinite(r.image_scale_corr))
continue;
if (!AcceptReflection(r, high_resolution_limit, low_resolution_limit))
continue;
if (exclude_ice_rings && r.on_ice_ring)
continue;
if (r.partiality < min_partiality)
continue;
const float I_corr = r.I * r.image_scale_corr;
const float sigma_corr = r.sigma * r.image_scale_corr;
if (!std::isfinite(I_corr) || !std::isfinite(sigma_corr) || sigma_corr <= 0.0f)
continue;
groups[generator(r).pack()].push_back({I_corr, sigma_corr});
}
}
// --- 2. One global pool of (sigma^2, <I>^2, bias-corrected squared deviation). For an
// observation in a group of n, the residual from the inverse-variance mean has
// E[(I_i - <I>)^2] = sigma_i^2 (1 - h_i), h_i = w_i / sum_w (its leverage). The
// (b*I)^2 term uses the reflection mean, so the mean (not I_i) is the abscissa. ---
struct Sample { double s2, I2, dev2; };
std::vector<Sample> samples;
for (const auto &[key, obs]: groups) {
if (obs.size() < 2)
continue;
double sum_w = 0.0, sum_wI = 0.0;
for (const auto &o: obs) {
const double w = 1.0 / (static_cast<double>(o.sigma) * o.sigma);
sum_w += w;
sum_wI += w * o.I;
}
if (!(sum_w > 0.0))
continue;
const double mean = sum_wI / sum_w;
error_model_mean_I[key] = static_cast<float>(mean);
// Robust centre for outlier rejection: the median intensity (resists the very
// outliers the inverse-variance mean is being protected from). Only when active.
if (reject_outliers) {
std::vector<float> iv;
iv.reserve(obs.size());
for (const auto &o: obs)
iv.push_back(o.I);
std::nth_element(iv.begin(), iv.begin() + iv.size() / 2, iv.end());
reject_median_I[key] = iv[iv.size() / 2];
}
const double I2 = mean * mean;
for (const auto &o: obs) {
const double w = 1.0 / (static_cast<double>(o.sigma) * o.sigma);
const double factor = 1.0 - w / sum_w;
if (factor < 0.05)
continue;
const double resid = static_cast<double>(o.I) - mean;
samples.push_back({static_cast<double>(o.sigma) * o.sigma, I2, resid * resid / factor});
}
}
// --- 3. Fit global dev2 = a*sigma^2 + b^2*<I>^2. Bin by intensity (the per-observation
// dev2 is chi-square-1 noisy) and take medians; weight the bins by 1/dev2^2 so it
// is a *relative* fit - otherwise the strong bins (which fix b) swamp the weak
// bins (which fix a) and the weak sigmas stay over-confident. ---
constexpr int n_bins = 16;
if (samples.size() < static_cast<size_t>(8 * n_bins))
return; // too little multiplicity to fit -> leave identity
std::sort(samples.begin(), samples.end(),
[](const Sample &p, const Sample &q) { return p.I2 < q.I2; });
auto median = [](std::vector<double> &v) {
std::nth_element(v.begin(), v.begin() + v.size() / 2, v.end());
return v[v.size() / 2];
};
// Per-intensity-bin medians of (sigma^2, <I>^2, dev2).
std::vector<double> bs2, bI2, bd2;
bs2.reserve(n_bins); bI2.reserve(n_bins); bd2.reserve(n_bins);
const size_t per = samples.size() / n_bins;
for (int bin = 0; bin < n_bins; ++bin) {
const size_t lo = bin * per;
const size_t hi = (bin == n_bins - 1) ? samples.size() : lo + per;
std::vector<double> vs2, vI2, vd2;
vs2.reserve(hi - lo); vI2.reserve(hi - lo); vd2.reserve(hi - lo);
for (size_t i = lo; i < hi; ++i) {
vs2.push_back(samples[i].s2);
vI2.push_back(samples[i].I2);
vd2.push_back(samples[i].dev2);
}
bs2.push_back(median(vs2));
bI2.push_back(median(vI2));
// The per-observation dev2 is sigma^2 * chi-square(1)-distributed, whose MEDIAN is 0.4549 of
// its mean. Fitting the model to the robust median would therefore calibrate the variances to
// 0.4549x their true value (reduced chi^2 ~ 1/0.4549 = 2.2). Divide the median by that constant
// to recover an unbiased estimate of the mean (E[dev2] = sigma^2), keeping the robustness of
// the median while targeting reduced chi^2 = 1.
bd2.push_back(median(vd2) / CHI2_1_MEDIAN);
}
// Relative-weighted (1/dev2^2) least squares for (a, b^2). Floor the weight's dev2 at a
// small fraction of the typical bin dev2: an absolute floor (1e-30) does not stop a
// near-zero-scatter bin from acquiring a runaway weight and hijacking the fit, so the
// floor must scale with the data. The regression target keeps the unfloored dev2.
std::vector<double> bd2_sorted = bd2;
const double dev2_floor = std::max(1e-30, 1e-3 * median(bd2_sorted));
double Ass = 0, AsI = 0, AII = 0, Bs = 0, BI = 0;
for (int bin = 0; bin < n_bins; ++bin) {
const double s2 = bs2[bin], I2 = bI2[bin], d2 = bd2[bin];
const double d2w = std::max(d2, dev2_floor);
const double wgt = 1.0 / (d2w * d2w);
Ass += wgt * s2 * s2;
AsI += wgt * s2 * I2;
AII += wgt * I2 * I2;
Bs += wgt * s2 * d2;
BI += wgt * I2 * d2;
}
// Reject a near-collinear (ill-conditioned) system *relatively*: det lies in
// [0, Ass*AII] by Cauchy-Schwarz, so compare against that scale rather than 1e-30.
const double det = Ass * AII - AsI * AsI;
if (!(det > 1e-10 * Ass * AII))
return;
const double a = std::clamp((Bs * AII - BI * AsI) / det, 0.25, 100.0);
const double b2 = std::max((Ass * BI - AsI * Bs) / det, 0.0);
error_model_a = a;
error_model_b = std::sqrt(b2);
error_model_active = true;
// Achieved goodness of fit: the median of the per-observation dev2/(a*sigma^2 + (b*<I>)^2). That
// ratio is chi-square(1)-distributed (median 0.4549) when the sigmas are correct, so normalize by
// CHI2_1_MEDIAN to report a median reduced chi^2 that targets 1.0. The median (not mean) keeps it
// robust to the heavy outlier tail of serial data.
std::vector<double> chi2;
chi2.reserve(samples.size());
for (const auto &s: samples) {
const double v = a * s.s2 + b2 * s.I2;
if (v > 0.0)
chi2.push_back(s.dev2 / v);
}
error_model_chi2 = chi2.empty() ? 0.0 : median(chi2) / CHI2_1_MEDIAN;
}
bool MergeOnTheFly::Mask(const IntegrationOutcome &outcome) {
if (reference_cell) {
auto cell = outcome.latt.GetUnitCell();
if (!cell.is_close(*reference_cell,
indexing_settings.GetUnitCellDistTolerance(),
indexing_settings.GetUnitCellAngleTolerance_deg()))
return true;
}
if (filter_by_image_cc && image_cc_limit) {
if (!outcome.image_scale_cc
|| std::isnan(outcome.image_scale_cc.value())
|| outcome.image_scale_cc.value() < image_cc_limit.value())
return true;
}
return false;
}
std::vector<MergedReflection> MergeOnTheFly::ExportReflections() {
std::unique_lock ul(merged_mutex);
std::vector<MergedReflection> out;
out.reserve(accumulator.size());
for (const auto &accum: accumulator | std::views::values) {
if (accum.sum_w <= 0.0)
continue;
MergedReflection mr{
.h = accum.h,
.k = accum.k,
.l = accum.l,
.I = static_cast<float>(accum.sum_wI / accum.sum_w),
.sigma = static_cast<float>(1.0 / std::sqrt(accum.sum_w)),
.I_half = {NAN, NAN},
.sigma_half = {NAN, NAN},
.d = accum.d,
.on_ice_ring = accum.on_ice_ring
};
if (accum.n_half[0] + accum.n_half[1] > 0 && accum.sum_w_half[0] > 0.0 && accum.sum_w_half[1] > 0.0) {
for (int i = 0; i < 2; ++i) {
mr.I_half[i] = static_cast<float>(accum.sum_wI_half[i] / accum.sum_w_half[i]);
mr.sigma_half[i] = static_cast<float>(1.0 / std::sqrt(accum.sum_w_half[i]));
}
}
if (!std::isfinite(accum.d) || accum.d <= 0.0f)
continue;
out.emplace_back(mr);
}
AssignRfreeFlags(out, space_group, scaling_settings.GetRfreeFraction(), 500, reference_cell);
ApplyFrenchWilson(out, space_group);
return out;
}
std::vector<MergedReflection> MergeAll(const DiffractionExperiment &x,
const std::vector<IntegrationOutcome> &integration_outcome) {
MergeOnTheFly merge(x);
for (size_t i = 0; i < integration_outcome.size(); ++i)
merge.AddImage(integration_outcome[i], static_cast<int64_t>(i));
return merge.ExportReflections();
}
struct ShellAccum {
int total_obs = 0;
int unique = 0;
int possible = 0;
double sum_i_over_sigma = 0.0;
int n_i_over_sigma = 0;
CorrelationCoefficient cc_half;
CorrelationCoefficient cc_ref;
};
std::pair<double, size_t> ImageReferenceCC(std::span<const Reflection> reflections,
const std::map<HKLKey, double> &reference,
const HKLKeyGenerator &generator,
std::optional<double> d_min_limit,
std::optional<double> d_max_limit,
double min_partiality) {
constexpr size_t MIN_REFLECTIONS = 20;
double sum_x = 0.0;
double sum_y = 0.0;
double sum_x2 = 0.0;
double sum_y2 = 0.0;
double sum_xy = 0.0;
size_t n = 0;
for (const auto &r: reflections) {
if (r.on_ice_ring)
continue;
if (!AcceptReflection(r, d_min_limit, d_max_limit))
continue;
if (r.partiality < min_partiality)
continue;
if (!std::isfinite(r.I) || !std::isfinite(r.image_scale_corr) || r.image_scale_corr <= 0.0f)
continue;
if (!std::isfinite(r.sigma) || r.sigma <= 0.0f)
continue;
const auto it = reference.find(generator(r));
if (it == reference.end())
continue;
const double image_i = static_cast<double>(r.I) * static_cast<double>(r.image_scale_corr);
const double ref_i = it->second;
if (!std::isfinite(image_i) || !std::isfinite(ref_i))
continue;
sum_x += image_i;
sum_y += ref_i;
sum_x2 += image_i * image_i;
sum_y2 += ref_i * ref_i;
sum_xy += image_i * ref_i;
++n;
}
if (n < MIN_REFLECTIONS)
return {NAN, n};
const double nd = static_cast<double>(n);
const double cov = sum_xy - sum_x * sum_y / nd;
const double var_x = sum_x2 - sum_x * sum_x / nd;
const double var_y = sum_y2 - sum_y * sum_y / nd;
if (!(var_x > 0.0 && var_y > 0.0))
return {NAN, n};
return {cov / std::sqrt(var_x * var_y), n};
}
void CalcPossibleReflections(const gemmi::SpaceGroup &sg,
const UnitCell &cell,
double d_min,
double d_max,
const ResolutionShells &shells,
std::vector<ShellAccum> &acc,
bool merge_friedel) {
gemmi::UnitCell gemmi_cell = cell;
// Generate unique reflections
std::vector<gemmi::Miller> possible_hkls = gemmi::make_miller_vector(gemmi_cell, &sg, d_min, d_max, true);
const gemmi::GroupOps gops = sg.operations();
CrystalLattice lattice(cell);
const auto astar = lattice.Astar();
const auto bstar = lattice.Bstar();
const auto cstar = lattice.Cstar();
for (const auto &hkl: possible_hkls) {
const auto q = hkl[0] * astar + hkl[1] * bstar + hkl[2] * cstar;
const auto qlen = q.Length();
if (qlen < 1e-6)
continue;
const auto d = 1.0 / qlen;
const auto shell = shells.GetShell(d);
if (!shell.has_value())
continue;
const int s = *shell;
if (s >= 0 && s < acc.size())
// Anomalous (no Friedel merge): an acentric reflection has two unique members (I+ and I-),
// a centric one only one — match how unique_reflections is counted, so completeness stays
// <=100% instead of approaching 200%.
acc[s].possible += (merge_friedel || gops.is_reflection_centric(hkl)) ? 1 : 2;
}
}
MergeStatistics MergeOnTheFly::MergeStats(const std::vector<MergedReflection> &merged,
const std::vector<IntegrationOutcome > &integration_outcome,
const std::vector<MergedReflection> &reference,
std::optional<double> d_min_override,
std::optional<ReportResolutionRange> declared_range) {
const int n_shells = scaling_settings.GetReportShellCount();
auto d_min_limit_A = d_min_override.has_value()
? d_min_override : scaling_settings.GetHighResolutionLimit_A();
auto d_max_limit_A = scaling_settings.GetLowResolutionLimit_A();
if (declared_range) {
d_min_limit_A = declared_range->d_min;
d_max_limit_A = std::isfinite(declared_range->d_max)
? std::optional<double>(declared_range->d_max) : std::nullopt;
}
std::unordered_map<uint64_t, float> reference_intensities;
if (!reference.empty()) {
reference_intensities.reserve(reference.size());
for (const auto &r: reference) {
if (!std::isfinite(r.I))
continue;
const auto hkl = generator(r);
reference_intensities[hkl.pack()] = r.I;
}
}
float d_min = std::numeric_limits<float>::max();
float d_max = 0.0f;
for (const auto &m: merged) {
if (!std::isfinite(m.d) || m.d <= 0.0f)
continue;
if (d_min_limit_A && m.d < d_min_limit_A)
continue;
if (d_max_limit_A && m.d > d_max_limit_A)
continue;
d_min = std::min(d_min, m.d);
d_max = std::max(d_max, m.d);
}
// A declared range is a grid whether or not anything landed in it.
if (!(d_min < d_max && d_min > 0.0f) && !declared_range)
throw JFJochException(JFJochExceptionCategory::InputParameterInvalid,
"MergeStats: Error in resolution calculation");
// Completeness is a claim about how much of a defined set was measured, so the set has to be
// defined by something other than what was measured. The shell grid - and with it the
// denominator, which shares its bounds so nothing is enumerated outside a shell - runs to the
// low resolution the run DECLARES, not to the coarsest reflection that happened to survive the
// beam stop, a detector mask and the limit itself: what those ate now counts as missing, which
// is what it is. An undeclared low limit is the whole sphere, i.e. 1/d^2 down to 0, and an
// infinite d_max is how that is spelled. The high end stays the finest d reached anywhere -
// that is the resolution the run reports, and the full sphere down to it already shows
// anisotropic loss.
const float d_min_pad = declared_range ? static_cast<float>(declared_range->d_min)
: d_min * 0.999f; // GetShell rejects d <= d_min; the finest reflection needs the room
const float d_max_declared = d_max_limit_A ? static_cast<float>(*d_max_limit_A)
: std::numeric_limits<float>::infinity();
// The innermost shell is labelled by the bound it reaches, except when that bound is infinite
// and the coarsest reflection measured is the only finite thing to say.
const float d_max_label = std::isfinite(d_max_declared) ? d_max_declared : d_max;
ResolutionShells shells(d_min_pad, d_max_declared, n_shells);
const auto shell_mean_1_d2 = shells.GetShellMeanOneOverResSq();
const auto shell_min_res = shells.GetShellMinRes();
std::vector<ShellAccum> acc(n_shells);
if (reference_cell.has_value())
CalcPossibleReflections(space_group, reference_cell.value(),
d_min_pad, d_max_declared, shells, acc, scaling_settings.GetMergeFriedel());
CorrelationCoefficient cc_half_overall;
CorrelationCoefficient cc_ref_overall;
for (const auto &m: merged) {
const auto shell = shells.GetShell(m.d);
if (!shell.has_value())
continue;
const int s = *shell;
if (s >= 0 && s < n_shells) {
if (std::isfinite(m.I) && std::isfinite(m.sigma) && m.sigma > 0.0) {
acc[s].unique++;
acc[s].sum_i_over_sigma += m.I / m.sigma;
++acc[s].n_i_over_sigma;
if (!reference_intensities.empty()) {
const auto hkl = generator(m);
const auto ref_it = reference_intensities.find(hkl.pack());
if (ref_it != reference_intensities.end() && std::isfinite(ref_it->second)) {
acc[s].cc_ref.Add(m.I, ref_it->second);
cc_ref_overall.Add(m.I, ref_it->second);
}
}
if (std::isfinite(m.I_half[0]) && std::isfinite(m.I_half[1])) {
acc[s].cc_half.Add(m.I_half[0], m.I_half[1]);
cc_half_overall.Add(m.I_half[0], m.I_half[1]);
}
}
}
}
// Per-reflection mean <I>, and a per-reflection accumulator for R_meas - it needs |I_i - <I>|,
// so the observations are visited again now that the means are known.
std::unordered_map<uint64_t, float> merged_I;
merged_I.reserve(merged.size());
for (const auto &m: merged)
if (std::isfinite(m.I))
merged_I[generator(m).pack()] = m.I;
struct RmeasObs { double sum_abs_dev = 0.0; double sum_I = 0.0; int n = 0; int shell = -1; };
std::unordered_map<uint64_t, RmeasObs> rmeas_obs;
rmeas_obs.reserve(merged.size());
for (int i = 0; i < integration_outcome.size(); ++i) {
if (Mask(integration_outcome[i]))
continue;
for (const auto &r: integration_outcome[i].reflections) {
if (generator.IsSystematicallyAbsent(r))
continue;
if (r.image_scale_corr <= 0.0 || !std::isfinite(r.image_scale_corr))
continue;
if (!AcceptReflection(r, d_min_limit_A, d_max_limit_A))
continue;
if (r.partiality < min_partiality)
continue;
const float I_corr = r.I * r.image_scale_corr;
const float sigma_corr = r.sigma * r.image_scale_corr;
if (!std::isfinite(I_corr) || !std::isfinite(sigma_corr) || sigma_corr <= 0.0f)
continue;
const auto shell = shells.GetShell(r.d);
if (!shell.has_value())
continue;
const int s = *shell;
if (s >= 0 && s < n_shells) {
acc[s].total_obs++;
const auto key = generator(r).pack();
const auto mit = merged_I.find(key);
if (mit != merged_I.end()) {
auto &ra = rmeas_obs[key];
ra.sum_abs_dev += std::abs(static_cast<double>(I_corr) - mit->second);
ra.sum_I += I_corr;
ra.n++;
ra.shell = s;
}
}
}
}
// R_meas per shell: sum over reflections of sqrt(n/(n-1)) * sum_i|I_i - <I>|, over sum of I_i.
std::vector<double> rmeas_num(n_shells, 0.0), rmeas_den(n_shells, 0.0);
double rmeas_num_all = 0.0, rmeas_den_all = 0.0;
for (const auto &[key, ra]: rmeas_obs) {
if (ra.n < 2 || ra.shell < 0 || ra.shell >= n_shells)
continue;
const double factor = std::sqrt(static_cast<double>(ra.n) / (ra.n - 1));
rmeas_num[ra.shell] += factor * ra.sum_abs_dev;
rmeas_den[ra.shell] += ra.sum_I;
rmeas_num_all += factor * ra.sum_abs_dev;
rmeas_den_all += ra.sum_I;
}
MergeStatistics out;
out.shells.resize(n_shells);
for (int s = 0; s < n_shells; ++s) {
const auto &sa = acc[s];
auto &ss = out.shells[s];
ss.mean_one_over_d2 = shell_mean_1_d2[s];
ss.d_min = shell_min_res[s];
ss.d_max = s == 0 ? d_max_label : shell_min_res[s - 1];
ss.total_observations = sa.total_obs;
ss.unique_reflections = sa.unique;
ss.possible_unique_reflections = sa.possible;
ss.mean_i_over_sigma = sa.n_i_over_sigma > 0
? sa.sum_i_over_sigma / sa.n_i_over_sigma
: 0.0;
ss.cc_half = sa.cc_half.GetCC();
ss.cc_ref = sa.cc_ref.GetCC();
ss.r_meas = rmeas_den[s] > 0.0 ? rmeas_num[s] / rmeas_den[s] : NAN;
}
auto &overall = out.overall;
overall.d_min = d_min < d_max ? d_min : 0.0f; // 0: nothing landed in a declared range
overall.d_max = d_max;
int all_possible = 0;
int all_unique = 0;
double sum_i_over_sigma = 0.0;
int n_i_over_sigma = 0;
for (const auto &sa: acc) {
overall.total_observations += sa.total_obs;
all_unique += sa.unique;
all_possible += sa.possible;
sum_i_over_sigma += sa.sum_i_over_sigma;
n_i_over_sigma += sa.n_i_over_sigma;
}
overall.possible_unique_reflections = all_possible;
overall.unique_reflections = all_unique;
overall.mean_i_over_sigma = n_i_over_sigma > 0 ? sum_i_over_sigma / n_i_over_sigma : 0.0;
overall.cc_half = cc_half_overall.GetCC();
overall.cc_ref = cc_ref_overall.GetCC();
overall.r_meas = rmeas_den_all > 0.0 ? rmeas_num_all / rmeas_den_all : NAN;
return out;
}
const char *SweepQualityReasonCode(SweepQualityReason reason) {
switch (reason) {
case SweepQualityReason::NoDiffraction: return "no_diffraction";
case SweepQualityReason::CrystalOutOfBeam: return "crystal_out_of_beam";
case SweepQualityReason::WeakDiffraction: return "weak_diffraction";
case SweepQualityReason::LossOfCentring: return "loss_of_centring";
case SweepQualityReason::RadiationDamage: return "radiation_damage";
case SweepQualityReason::InconsistentWithMerge: return "inconsistent_with_merge";
}
return "unknown";
}
const char *SweepQualityReasonText(SweepQualityReason reason) {
switch (reason) {
case SweepQualityReason::NoDiffraction: return "no diffraction";
case SweepQualityReason::CrystalOutOfBeam: return "out of beam";
case SweepQualityReason::WeakDiffraction: return "weak diffraction";
case SweepQualityReason::LossOfCentring: return "loss of centring";
case SweepQualityReason::RadiationDamage: return "radiation damage";
case SweepQualityReason::InconsistentWithMerge: return "inconsistent with the merge";
}
return "unknown";
}
bool WeightedRmeasTerms(double sum_v_absdev, double sum_v_I, double sum_v, double sum_v2,
double &num, double &den) {
if (!(sum_v > 0.0) || !(sum_v2 > 0.0))
return false;
const double n_eff = sum_v * sum_v / sum_v2;
if (!(n_eff > 1.0))
return false;
const double scale = n_eff / sum_v;
num = std::sqrt(n_eff / (n_eff - 1.0)) * scale * sum_v_absdev;
den = scale * sum_v_I;
return true;
}
const char *FrameDispositionCode(FrameDisposition disposition) {
switch (disposition) {
case FrameDisposition::Merged: return "merged";
case FrameDisposition::Downgraded: return "downgraded";
case FrameDisposition::Rejected: return "rejected";
}
return "unknown";
}
namespace {
// A quantity a run did not measure prints as a dash, not as "nan": CCref has nothing to compare
// against unless a reference was given, CCanom needs both Bijvoet mates split in two, and a thin
// shell can be short of the reflections either of them needs. A dash is what XDS and AIMLESS put
// in the same place, and it does not read as a measured value the way "nan" does. A measured
// value always prints, including a negative one - a negative CCanom is a result, not a gap.
std::string Measured(double value, const char *suffix = "", int decimals = 1) {
return std::isfinite(value) ? fmt::format("{:.{}f}{}", value, decimals, suffix)
: std::string("-");
}
}
std::ostream &operator<<(std::ostream &output, const MergeStatisticsShell &in) {
// NaN, not 0.0, where the denominator is empty: Measured() below turns that into a dash, and a
// printed 0.0% reads as a measured total failure rather than as a quantity nobody could form.
double completeness = in.possible_unique_reflections > 0
? static_cast<double>(in.unique_reflections) / in.possible_unique_reflections * 100.0 : NAN;
double multiplicity = in.unique_reflections > 0
? static_cast<double>(in.total_observations) / in.unique_reflections : NAN;
output << fmt::format("{:8d} {:8d} {:8d} {:>8s} {:>7s} {:>8s} {:>8s} {:>8s} {:>8s} {:>8s} {:>8s}",
in.total_observations,
in.unique_reflections,
in.possible_unique_reflections,
Measured(completeness, "%"),
Measured(multiplicity),
Measured(in.mean_i_over_sigma),
Measured(in.r_meas*100.0, "%"),
Measured(in.cc_half*100.0, "%"),
Measured(in.cc_ref*100.0, "%"),
Measured(in.cc_anom*100.0, "%"),
Measured(in.abs_diff_over_sigma_anomalous, "", 2));
return output;
}
std::string ShellTableHeader() {
return fmt::format(" {:>8s} {:>8s} {:>8s} {:>8s} {:>8s} {:>7s} {:>8s} {:>8s} {:>8s} {:>8s} {:>8s} {:>8s}",
"d_min", "N_obs", "N_uniq", "N_possib", "Compl", "Mult", "<I/sig>", "R_meas", "CC1/2", "CCref",
"CCanom", "SigAno");
}
std::string ShellTableRule() {
return fmt::format(" {:->8s} {:->8s} {:->8s} {:->8s} {:->8s} {:->7s} {:->8s} {:->8s} {:->8s} {:->8s} {:->8s} {:->8s}",
"", "", "", "", "", "", "", "", "", "", "", "");
}
std::ostream &operator<<(std::ostream &output, const MergeStatistics &in) {
output << std::endl;
output << ShellTableHeader() << std::endl;
output << ShellTableRule() << std::endl;
for (const auto &sh: in.shells) {
if (sh.unique_reflections == 0)
continue;
output << fmt::format(" {:8.2f} ", sh.d_min);
output << sh;
output << std::endl;
}
output << ShellTableRule() << std::endl;
output << fmt::format(" {:>8s} ", "Overall");
output << in.overall;
output << std::endl;
if (std::isfinite(in.wilson_b) && in.wilson_b > 0.0)
output << fmt::format(" Wilson B-factor estimate: {:.2f} A^2 (correlation {:.3f})",
in.wilson_b, in.wilson_b_correlation) << std::endl;
if (std::isfinite(in.radiation_damage_delta_b))
output << fmt::format(" Radiation damage: relative B-factor change over run = {:+.2f} A^2 "
"(first->last, {} batches)",
in.radiation_damage_delta_b, in.radiation_damage_b_batch.size()) << std::endl;
output << std::endl;
return output;
}