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Jungfraujoch/image_analysis/scale_merge/Merge.cpp
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leonarski_fandClaude Opus 5 a6be35ccdb Azimuthal integration: optional sigma clipping of the reported profile
The profile is the MEAN of each bin, so a few strong reflections landing in a bin
lift it exactly as a smooth powder ring does. That is the wrong quantity whenever
the profile is wanted as a background rather than as a measurement of what is in
the bin - the ice score being the case in point, where reading a plain profile
INVERTED the metric: over 37 rotation crystals the two highest-scoring crystals
had no ice at all.

The adaptive spot finder already computes the right thing, a sigma-clipped
per-resolution-ring background, as a byproduct of its own threshold. Where it
runs, the ice score uses that. Where it does not - --no-adaptive-spots,
--azint-only, and anything reading the profile the broker wrote - there was no way
to get it. This adds one: azim_int_settings.sigma_clip (rugnux --azim-sigma-clip),
0 = off, minimum 2 because a tighter clip rejects a large part of a clean Gaussian
bin and biases the estimate low rather than removing outliers.

Two clip passes follow the plain one, matching the finder's recipe - the first
pass's standard deviation is itself inflated by the peaks being removed, so one
pass leaves a threshold that is still too generous. A bin with fewer than eight
pixels is left alone: at the detector edge and behind the beam stop there is no
spread to clip on.

Both engines do it. On the GPU the accept range is computed by a small kernel and
stays resident, so a clip pass is one more read of the same pixels and no round
trip; the two accumulation kernels take the range as a pointer that is null on the
plain pass. Measured on a JUNGFRAU rotation dataset, non-adaptive path: azimuthal
integration 0.02 -> 0.06 ms per image, exactly the 3x the extra passes predict,
against a 0.34 ms per-image total.

Note what the result IS: the smooth background under the peaks, not the bin mean.
It should not be switched on where a ring's integrated intensity is wanted - the
powder-ring geometry fit reads ring peaks, and those are what a clip is designed
to remove. Off by default, so nothing changes unless it is asked for.

Not exposed over the REST API - that needs the generated model regenerated, which
is a separate step.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-07 00:18:52 +02:00

753 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()),
// 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))
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))
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,
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))
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();
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;
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))
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;
}