Files
Jungfraujoch/image_analysis/scale_merge/Merge.cpp
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leonarski_fandClaude Opus 5 a29c36600f Beam-stop shadow detection, and a low-resolution limit for scaling
rugnux finds the beam stop and its holder in a projection of 60 images and
marks them in the pixel mask as bit 9 (--detect-beam-stop[=N|off], on by
default). Reflections behind the stop are attenuated but not flagged, so they
integrate low with a plausible sigma and nothing downstream catches them: the
signal-box gate requires 100% valid pixels and shadow pixels are valid, the
background clip is high-side only, and the |zeta| cut applies only to the
space-group search merge.

The detection compares each pixel's background against the typical background
at the same radius on two channels. An azimuthal one (the ring median) finds
the holder arm, which is a minority of its ring; a radial one (the background
just outside) finds the disk, which the ring median cannot see because inside a
fully blocked ring the median is the shadow itself. Pixels are pooled over a
5x5 box and tested only where the background has actually been counted, so
low-background data no longer masks the whole detector. Recorded reflections
are carved back out - a beam stop cannot block a reflection that was measured.

Bit 9 belongs to the run that found it, not to the dataset: it is cleared when
a run starts, so a mask read back from a file that carries one starts clear.
The user mask (bit 8) is left alone.

Scaling and merging gain a low-resolution limit, default 50 A
(--scaling-low-resolution <num>, 0 removes it), applied per observation before
scaling so it also protects the per-frame scale fit and the space-group search.
50 A is the value XDS configurations use; rugnux_vs_xds.py now matches both of
XDS's resolution limits instead of only the high one, so the lowest shell is
the same shell in the two programs.

The viewer draws the detected shadow in coral with a "Show beam stop" switch in
the side panel, exposes the low-resolution limit in the settings dock, and
offers detection in its processing jobs. Adding an image marker meant giving
the reader a MIN_REAL_PXL_VALUE, because several places classify a pixel by
range rather than by equality and would otherwise read the new marker as a very
negative intensity.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-09 01:05:31 +02:00

758 lines
31 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 {
// Deterministic CC1/2 half-set assignment: a splitmix64 bit-mix of the image's stable index.
// A pure function of image identity (not a draw from a shared RNG in call order) keeps the split
// reproducible run-to-run, independent of AddImage call order, and safe under concurrent merging.
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_number(x.GetSpaceGroupNumber().value_or(1)),
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_number),
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 half = 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, 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;
it->second.sum_wI_half[half] += wI;
it->second.sum_w_half[half] += w;
it->second.n_half[half]++;
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,
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 = std::max(0.0, a_var - static_cast<double>(image_scale_corr)
* std::max(0.0, static_cast<double>(I_corr)));
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 = SigmaWithSystematicFloor(1.0 / std::sqrt(accum.sum_w),
static_cast<float>(accum.sum_wI / accum.sum_w), error_model_b),
.I_half = {NAN, NAN},
.sigma_half = {NAN, NAN},
.d = accum.d
};
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] = SigmaWithSystematicFloor(1.0 / std::sqrt(accum.sum_w_half[i]),
mr.I_half[i], error_model_b);
}
}
if (!std::isfinite(accum.d) || accum.d <= 0.0f)
continue;
out.emplace_back(mr);
}
AssignRfreeFlags(out, space_group_number, scaling_settings.GetRfreeFraction());
ApplyFrenchWilson(out, space_group_number);
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(const std::vector<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(int space_group_number ,
const UnitCell &cell,
double d_min,
double d_max,
const ResolutionShells &shells,
std::vector<ShellAccum> &acc,
bool merge_friedel) {
gemmi::UnitCell gemmi_cell = cell;
const gemmi::SpaceGroup *sg = gemmi::find_spacegroup_by_number(space_group_number);
if (sg == nullptr)
throw JFJochException(JFJochExceptionCategory::InputParameterInvalid,
"Invalid space group number " + std::to_string(space_group_number));
// 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) {
const int n_shells = scaling_settings.GetReportShellCount();
auto d_min_limit_A = d_min_override.has_value()
? d_min_override : scaling_settings.GetHighResolutionLimit_A();
const auto d_max_limit_A = scaling_settings.GetLowResolutionLimit_A();
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);
}
if (!(d_min < d_max && d_min > 0.0f))
throw JFJochException(JFJochExceptionCategory::InputParameterInvalid,
"MergeStats: Error in resolution calculation");
const float d_min_pad = d_min * 0.999f;
const float d_max_pad = d_max * 1.001f;
ResolutionShells shells(d_min_pad, d_max_pad, 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_number, reference_cell.value(),
d_min_pad, d_max_pad, 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_pad : 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;
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;
}
std::ostream &operator<<(std::ostream &output, const MergeStatisticsShell &in) {
double completeness = in.possible_unique_reflections > 0
? static_cast<double>(in.unique_reflections) / in.possible_unique_reflections * 100.0 : 0.0;
double multiplicity = in.unique_reflections > 0
? static_cast<double>(in.total_observations) / in.unique_reflections : 0.0;
output << fmt::format("{:8d} {:8d} {:8d} {:7.1f}% {:7.1f} {:8.1f} {:7.1f}% {:7.1f}% {:7.1f}% {:8.2f}",
in.total_observations,
in.unique_reflections,
in.possible_unique_reflections,
completeness,
multiplicity,
in.mean_i_over_sigma,
in.r_meas*100.0,
in.cc_half*100.0,
in.cc_ref*100.0,
in.abs_diff_over_sigma_anomalous);
return output;
}
std::ostream &operator<<(std::ostream &output, const MergeStatistics &in) {
output << std::endl;
output << fmt::format(" {:>8s} {:>8s} {:>8s} {:>8s} {:>8s} {:>7s} {:>8s} {:>8s} {:>8s} {:>8s} {:>8s}",
"d_min", "N_obs", "N_uniq", "N_possib", "Compl", "Mult", "<I/sig>", "R_meas", "CC1/2", "CCref", "SigAno")
<< std::endl;
output << fmt::format(" {:->8s} {:->8s} {:->8s} {:->8s} {:->8s} {:->7s} {:->8s} {:->8s} {:->8s} {:->8s} {:->8s}",
"", "", "", "", "", "", "", "", "", "", "") << 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 << fmt::format(" {:->8s} {:->8s} {:->8s} {:->8s} {:->8s} {:->7s} {:->8s} {:->8s} {:->8s} {:->8s} {:->8s}",
"", "", "", "", "", "", "", "", "", "", "") << 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;
}