Scale prepared gravity consistency by uncancelled field contributions
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@@ -108,6 +108,10 @@ namespace mean_field::solver::detail {
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expectedResidual(subsystem.GetPartition().GravityResidualSize()),
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gravityAction(subsystem.GetPartition().GravityResidualSize()),
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desiredResidual(subsystem.GetPartition().GravityResidualSize()),
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sourceResidual(subsystem.GetPartition().GravityResidualSize()),
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scaleGravityValues(subsystem.GetPartition().GravityValueSize()),
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scaleGravityAction(subsystem.GetPartition().GravityResidualSize()),
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scaleRootValues(state.Problem().StateSize()),
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fullCorrection(state.Problem().StateSize()), fullAction(state.Problem().EquationSize()) {
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m_options.Validate();
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}
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@@ -119,6 +123,8 @@ namespace mean_field::solver::detail {
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report.gravityIterations = subsystem.GetIterationCount();
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report.gravityFailures = subsystem.GetFailureCount();
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report.gravityPreparedFailures = preparedFailures;
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report.compactGravityOperator = subsystem.UsesCompactOperator();
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report.compactGravityInverse = subsystem.UsesCompactPreconditioner();
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report.lastLinearReportSpace = lastLinearReportSpace;
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report.gravitySolveSeconds = subsystem.GetSolveSeconds();
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if (const auto &last = subsystem.GetLastSolveReport(); last.has_value()) {
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@@ -126,6 +132,9 @@ namespace mean_field::solver::detail {
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}
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report.lastGravityCorrectionNorm = lastCorrectionNorm;
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report.lastGravityPreparedDefect = lastPreparedDefect;
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report.lastGravityAffineDisagreement = lastAffineDisagreement;
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report.lastGravityArithmeticAllowance = lastArithmeticAllowance;
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report.lastGravityPreparedTargetThreshold = lastPreparedTargetThreshold;
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report.lastLiftedRelativeTrueResidual = liftedRelativeDefect;
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}
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@@ -147,11 +156,37 @@ namespace mean_field::solver::detail {
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}
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auto ApplyCorrection(State &state) {
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lastPreparedDefect = lastAffineDisagreement = lastArithmeticAllowance =
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lastPreparedTargetThreshold = std::numeric_limits<double>::quiet_NaN();
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const auto &partition = subsystem.GetPartition();
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partition.InjectGravityValues(gravityCorrection, fullCorrection);
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state.normalizedOperator->Mult(fullCorrection, fullAction);
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subsystem.GetOperator().Mult(gravityCorrection, gravityAction);
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partition.GatherGravityResiduals(state.trialNormalizedResidual, expectedResidual);
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partition.GatherGravityResiduals(fullAction, gravityAction);
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sourceResidual = expectedResidual;
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// Split the two gravity fields before taking norms: their large
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// cancellation is precisely what the residual alone cannot expose.
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using Form = typename Problem::FormType;
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using namespace utils::blocks;
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constexpr value_block<type_index_v<gravity::gradient::value, typename Form::value_blocks>> gradient{};
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constexpr value_block<type_index_v<gravity::poisson::value, typename Form::value_blocks>> potential{};
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const auto &layout = state.Problem().GetManifest().layout();
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std::array<double, 8> contributionNorms{};
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const auto measure = [&](const mfem::Vector &values, auto block, const bool source) {
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scaleRootValues = 0.0;
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for (int index = layout.offset(block); index < layout.offset(block) + layout.size(block); ++index)
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scaleRootValues(index) = values(index);
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partition.GatherGravityValues(scaleRootValues, scaleGravityValues);
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subsystem.GetOperator().Mult(scaleGravityValues, scaleGravityAction);
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if (source) sourceResidual -= scaleGravityAction;
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return StrategyNorm(scaleGravityAction, subsystem.GetCommunicator());
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};
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contributionNorms[0] = measure(state.trialNormalizedState, gradient, true);
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contributionNorms[1] = measure(state.trialNormalizedState, potential, true);
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contributionNorms[2] = StrategyNorm(sourceResidual, subsystem.GetCommunicator());
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contributionNorms[3] = measure(fullCorrection, gradient, false);
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contributionNorms[4] = measure(fullCorrection, potential, false);
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contributionNorms[5] = StrategyNorm(expectedResidual, subsystem.GetCommunicator());
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contributionNorms[6] = StrategyNorm(desiredResidual, subsystem.GetCommunicator());
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expectedResidual += gravityAction;
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lastCorrectionNorm = StrategyNorm(gravityCorrection, subsystem.GetCommunicator());
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partition.AddGravityValues(gravityCorrection, state.trialNormalizedState);
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@@ -159,22 +194,21 @@ namespace mean_field::solver::detail {
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auto preparation = state.PrepareTrial();
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if (preparation) {
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partition.GatherGravityResiduals(state.trialNormalizedResidual, gravityResidual);
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const double scale = StrategyNorm(gravityResidual, subsystem.GetCommunicator()) +
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StrategyNorm(expectedResidual, subsystem.GetCommunicator()) +
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StrategyNorm(desiredResidual, subsystem.GetCommunicator()) +
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StrategyNorm(gravityAction, subsystem.GetCommunicator());
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contributionNorms[7] = StrategyNorm(gravityResidual, subsystem.GetCommunicator());
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expectedResidual -= gravityResidual;
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const double disagreement = StrategyNorm(expectedResidual, subsystem.GetCommunicator());
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gravityResidual -= desiredResidual;
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const double targetDefect = StrategyNorm(gravityResidual, subsystem.GetCommunicator());
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const double tolerance = m_options.control.ConvergenceThreshold(lastSolve.rightHandSideNorm) +
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256.0 * std::numeric_limits<double>::epsilon() * scale;
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// G is affine in gravity for fixed retained variables. Verify
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// that property against a fresh preparation, including its
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// boundary rows, before trusting a completed candidate.
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trialSolveSucceeded = std::isfinite(disagreement) && disagreement <= tolerance &&
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std::isfinite(targetDefect) && targetDefect <= tolerance;
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const auto assessment = AssessGravityPreparedResidual(
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contributionNorms, disagreement, targetDefect, lastSolve.trueResidualNorm);
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trialSolveSucceeded = assessment.admissible;
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lastPreparedDefect = targetDefect;
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lastAffineDisagreement = disagreement;
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lastArithmeticAllowance = assessment.arithmeticAllowance;
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lastPreparedTargetThreshold = assessment.targetThreshold;
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}
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if (!preparation || !trialSolveSucceeded) { ++preparedFailures; }
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return preparation;
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@@ -183,11 +217,15 @@ namespace mean_field::solver::detail {
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nonlinear::GravitySolveOptions m_options;
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Subsystem subsystem;
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mfem::Vector gravityResidual, gravityCorrection, expectedResidual, gravityAction, desiredResidual;
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mfem::Vector sourceResidual, scaleGravityValues, scaleGravityAction, scaleRootValues;
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mfem::Vector fullCorrection, fullAction;
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LinearSolveReport lastSolve{};
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bool trialSolveSucceeded{true};
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double lastCorrectionNorm{0.0};
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double lastPreparedDefect{0.0};
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double lastAffineDisagreement{0.0};
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double lastArithmeticAllowance{0.0};
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double lastPreparedTargetThreshold{0.0};
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double liftedRelativeDefect{0.0};
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std::uint64_t preparedFailures{0};
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nonlinear::LinearReportSpace lastLinearReportSpace{nonlinear::LinearReportSpace::full_system};
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