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Crate fdars_core

Crate fdars_core 

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§fdars-core

Core algorithms for Functional Data Analysis in Rust.

This crate provides pure Rust implementations of various FDA methods including:

  • Functional data operations (mean, derivatives, norms)
  • Depth measures (Fraiman-Muniz, modal, band, random projection, etc.)
  • Distance metrics (Lp, Hausdorff, DTW, Fourier, etc.)
  • Basis representations (B-splines, P-splines, Fourier)
  • Clustering (k-means, fuzzy c-means)
  • Smoothing (Nadaraya-Watson, local linear/polynomial regression)
  • Outlier detection
  • Regression (PCA, PLS, ridge)
  • Seasonal analysis (period estimation, peak detection, seasonal strength)
  • Detrending and decomposition for non-stationary data

§Data Layout

Functional data is represented using the FdMatrix type, a column-major matrix wrapping a flat Vec<f64> with safe (i, j) indexing and dimension tracking:

  • For n observations with m evaluation points: data[(i, j)] gives observation i at point j
  • 2D surfaces (n observations, m1 x m2 grid): stored as n x (m1*m2) matrices
  • Zero-copy column access via data.column(j), row gather via data.row(i)
  • nalgebra interop via to_dmatrix() / from_dmatrix() for SVD operations

Re-exports§

pub use error::FdarError;
pub use matrix::FdCurveSet;
pub use matrix::FdMatrix;
pub use andrews::andrews_loadings;
pub use andrews::andrews_transform;
pub use andrews::AndrewsLoadings;
pub use andrews::AndrewsResult;
pub use covariance::covariance_matrix;
pub use covariance::generate_gaussian_process;
pub use covariance::CovKernel;
pub use covariance::GaussianProcessResult;
pub use alignment::align_to_target;
pub use alignment::alignment_quality;
pub use alignment::amplitude_distance;
pub use alignment::amplitude_self_distance_matrix;
pub use alignment::compose_warps;
pub use alignment::elastic_align_pair;
pub use alignment::elastic_align_pair_constrained;
pub use alignment::elastic_align_pair_nd;
pub use alignment::elastic_align_pair_with_landmarks;
pub use alignment::elastic_cross_distance_matrix;
pub use alignment::elastic_decomposition;
pub use alignment::elastic_distance;
pub use alignment::elastic_distance_nd;
pub use alignment::elastic_self_distance_matrix;
pub use alignment::karcher_mean;
pub use alignment::pairwise_consistency;
pub use alignment::phase_distance_pair;
pub use alignment::phase_self_distance_matrix;
pub use alignment::reparameterize_curve;
pub use alignment::srsf_inverse;
pub use alignment::srsf_inverse_nd;
pub use alignment::srsf_transform;
pub use alignment::srsf_transform_nd;
pub use alignment::tsrvf_from_alignment;
pub use alignment::tsrvf_from_alignment_with_method;
pub use alignment::tsrvf_inverse;
pub use alignment::tsrvf_transform;
pub use alignment::tsrvf_transform_with_method;
pub use alignment::warp_complexity;
pub use alignment::warp_smoothness;
pub use alignment::AlignmentQuality;
pub use alignment::AlignmentResult;
pub use alignment::AlignmentResultNd;
pub use alignment::AlignmentSetResult;
pub use alignment::ConstrainedAlignmentResult;
pub use alignment::DecompositionResult;
pub use alignment::KarcherMeanResult;
pub use alignment::TransportMethod;
pub use alignment::TsrvfResult;
pub use helpers::cumulative_trapz;
pub use helpers::extract_curves;
pub use helpers::gradient;
pub use helpers::gradient_nonuniform;
pub use helpers::gradient_uniform;
pub use helpers::l2_distance;
pub use helpers::linear_interp;
pub use helpers::simpsons_weights;
pub use helpers::simpsons_weights_2d;
pub use helpers::trapz;
pub use helpers::DEFAULT_CONVERGENCE_TOL;
pub use helpers::NUMERICAL_EPS;
pub use warping::exp_map_sphere;
pub use warping::gam_to_psi;
pub use warping::gam_to_psi_smooth;
pub use warping::inner_product_l2;
pub use warping::inv_exp_map_sphere;
pub use warping::invert_gamma;
pub use warping::l2_norm_l2;
pub use warping::normalize_warp;
pub use warping::phase_distance;
pub use warping::psi_to_gam;
pub use seasonal::autoperiod;
pub use seasonal::autoperiod_fdata;
pub use seasonal::cfd_autoperiod;
pub use seasonal::cfd_autoperiod_fdata;
pub use seasonal::hilbert_transform;
pub use seasonal::sazed;
pub use seasonal::sazed_fdata;
pub use seasonal::AutoperiodCandidate;
pub use seasonal::AutoperiodResult;
pub use seasonal::CfdAutoperiodResult;
pub use seasonal::ChangeDetectionResult;
pub use seasonal::ChangePoint;
pub use seasonal::ChangeType;
pub use seasonal::DetectedPeriod;
pub use seasonal::InstantaneousPeriod;
pub use seasonal::Peak;
pub use seasonal::PeakDetectionResult;
pub use seasonal::PeriodEstimate;
pub use seasonal::SazedComponents;
pub use seasonal::SazedResult;
pub use seasonal::StrengthMethod;
pub use landmark::detect_and_register;
pub use landmark::detect_landmarks;
pub use landmark::landmark_register;
pub use landmark::Landmark;
pub use landmark::LandmarkKind;
pub use landmark::LandmarkResult;
pub use detrend::DecomposeResult;
pub use detrend::StlConfig;
pub use detrend::StlResult;
pub use detrend::TrendResult;
pub use simulation::EFunType;
pub use simulation::EValType;
pub use irreg_fdata::IrregFdata;
pub use irreg_fdata::KernelType;
pub use tolerance::conformal_prediction_band;
pub use tolerance::elastic_tolerance_band;
pub use tolerance::elastic_tolerance_band_with_config;
pub use tolerance::equivalence_test;
pub use tolerance::equivalence_test_one_sample;
pub use tolerance::exponential_family_tolerance_band;
pub use tolerance::fpca_tolerance_band;
pub use tolerance::phase_tolerance_band;
pub use tolerance::scb_mean_degras;
pub use tolerance::BandType;
pub use tolerance::ElasticToleranceBandResult;
pub use tolerance::ElasticToleranceConfig;
pub use tolerance::EquivalenceBootstrap;
pub use tolerance::EquivalenceTestResult;
pub use tolerance::ExponentialFamily;
pub use tolerance::MultiplierDistribution;
pub use tolerance::NonConformityScore;
pub use tolerance::PhaseToleranceBand;
pub use tolerance::ToleranceBand;
pub use famm::fmm;
pub use famm::fmm_predict;
pub use famm::fmm_test_fixed;
pub use famm::FmmResult;
pub use famm::FmmTestResult;
pub use function_on_scalar::fanova;
pub use function_on_scalar::fosr;
pub use function_on_scalar::fosr_fpc;
pub use function_on_scalar::predict_fosr;
pub use function_on_scalar::FanovaResult;
pub use function_on_scalar::FosrFpcResult;
pub use function_on_scalar::FosrResult;
pub use function_on_scalar_2d::fosr_2d;
pub use function_on_scalar_2d::predict_fosr_2d;
pub use function_on_scalar_2d::FosrResult2d;
pub use function_on_scalar_2d::Grid2d;
pub use scalar_on_function::bootstrap_ci_fregre_lm;
pub use scalar_on_function::bootstrap_ci_functional_logistic;
pub use scalar_on_function::fregre_basis_cv;
pub use scalar_on_function::fregre_cv;
pub use scalar_on_function::fregre_huber;
pub use scalar_on_function::fregre_l1;
pub use scalar_on_function::fregre_lm;
pub use scalar_on_function::fregre_np_cv;
pub use scalar_on_function::fregre_np_mixed;
pub use scalar_on_function::functional_logistic;
pub use scalar_on_function::model_selection_ncomp;
pub use scalar_on_function::predict_fregre_lm;
pub use scalar_on_function::predict_fregre_np;
pub use scalar_on_function::predict_fregre_robust;
pub use scalar_on_function::predict_functional_logistic;
pub use scalar_on_function::BootstrapCiResult;
pub use scalar_on_function::FregreBasisCvResult;
pub use scalar_on_function::FregreCvResult;
pub use scalar_on_function::FregreLmResult;
pub use scalar_on_function::FregreNpCvResult;
pub use scalar_on_function::FregreNpResult;
pub use scalar_on_function::FregreRobustResult;
pub use scalar_on_function::FunctionalLogisticResult;
pub use scalar_on_function::ModelSelectionResult;
pub use scalar_on_function::SelectionCriterion;
pub use explain_generic::generic_ale;
pub use explain_generic::generic_anchor;
pub use explain_generic::generic_conditional_permutation_importance;
pub use explain_generic::generic_counterfactual;
pub use explain_generic::generic_domain_selection;
pub use explain_generic::generic_friedman_h;
pub use explain_generic::generic_lime;
pub use explain_generic::generic_pdp;
pub use explain_generic::generic_permutation_importance;
pub use explain_generic::generic_prototype_criticism;
pub use explain_generic::generic_saliency;
pub use explain_generic::generic_shap_values;
pub use explain_generic::generic_sobol_indices;
pub use explain_generic::generic_stability;
pub use explain_generic::generic_vif;
pub use explain_generic::FpcPredictor;
pub use explain_generic::TaskType;
pub use elastic_explain::elastic_pcr_attribution;
pub use elastic_explain::ElasticAttributionResult;
pub use explain::anchor_explanation;
pub use explain::anchor_explanation_logistic;
pub use explain::beta_decomposition;
pub use explain::beta_decomposition_logistic;
pub use explain::calibration_diagnostics;
pub use explain::conditional_permutation_importance;
pub use explain::conditional_permutation_importance_logistic;
pub use explain::conformal_prediction_residuals;
pub use explain::counterfactual_logistic;
pub use explain::counterfactual_regression;
pub use explain::dfbetas_dffits;
pub use explain::domain_selection;
pub use explain::domain_selection_logistic;
pub use explain::expected_calibration_error;
pub use explain::explanation_stability;
pub use explain::explanation_stability_logistic;
pub use explain::fpc_ale;
pub use explain::fpc_ale_logistic;
pub use explain::fpc_permutation_importance;
pub use explain::fpc_permutation_importance_logistic;
pub use explain::fpc_shap_values;
pub use explain::fpc_shap_values_logistic;
pub use explain::fpc_vif;
pub use explain::fpc_vif_logistic;
pub use explain::friedman_h_statistic;
pub use explain::friedman_h_statistic_logistic;
pub use explain::functional_pdp;
pub use explain::functional_pdp_logistic;
pub use explain::functional_saliency;
pub use explain::functional_saliency_logistic;
pub use explain::influence_diagnostics;
pub use explain::lime_explanation;
pub use explain::lime_explanation_logistic;
pub use explain::loo_cv_press;
pub use explain::pointwise_importance;
pub use explain::pointwise_importance_logistic;
pub use explain::prediction_intervals;
pub use explain::prototype_criticism;
pub use explain::regression_depth;
pub use explain::regression_depth_logistic;
pub use explain::significant_regions;
pub use explain::significant_regions_from_se;
pub use explain::sobol_indices;
pub use explain::sobol_indices_logistic;
pub use explain::AleResult;
pub use explain::AnchorCondition;
pub use explain::AnchorResult;
pub use explain::AnchorRule;
pub use explain::BetaDecomposition;
pub use explain::CalibrationDiagnosticsResult;
pub use explain::ConditionalPermutationImportanceResult;
pub use explain::ConformalPredictionResult;
pub use explain::CounterfactualResult;
pub use explain::DepthType;
pub use explain::DfbetasDffitsResult;
pub use explain::DomainSelectionResult;
pub use explain::EceResult;
pub use explain::FpcPermutationImportance;
pub use explain::FpcShapValues;
pub use explain::FriedmanHResult;
pub use explain::FunctionalPdpResult;
pub use explain::FunctionalSaliencyResult;
pub use explain::ImportantInterval;
pub use explain::InfluenceDiagnostics;
pub use explain::LimeResult;
pub use explain::LooCvResult;
pub use explain::PointwiseImportanceResult;
pub use explain::PredictionIntervalResult;
pub use explain::PrototypeCriticismResult;
pub use explain::RegressionDepthResult;
pub use explain::SignificanceDirection;
pub use explain::SignificantRegion;
pub use explain::SobolIndicesResult;
pub use explain::StabilityAnalysisResult;
pub use explain::VifResult;
pub use classification::fclassif_cv;
pub use classification::fclassif_cv_with_config;
pub use classification::fclassif_dd;
pub use classification::fclassif_kernel;
pub use classification::fclassif_knn;
pub use classification::fclassif_knn_fit;
pub use classification::fclassif_lda;
pub use classification::fclassif_lda_fit;
pub use classification::fclassif_qda;
pub use classification::fclassif_qda_fit;
pub use classification::ClassifCvConfig;
pub use classification::ClassifCvResult;
pub use classification::ClassifFit;
pub use classification::ClassifMethod;
pub use classification::ClassifResult;
pub use conformal::conformal_classif;
pub use conformal::conformal_elastic_logistic;
pub use conformal::conformal_elastic_pcr;
pub use conformal::conformal_elastic_pcr_with_config;
pub use conformal::conformal_elastic_regression;
pub use conformal::conformal_elastic_regression_with_config;
pub use conformal::conformal_fregre_lm;
pub use conformal::conformal_fregre_np;
pub use conformal::conformal_generic_classification;
pub use conformal::conformal_generic_regression;
pub use conformal::conformal_logistic;
pub use conformal::cv_conformal_classification;
pub use conformal::cv_conformal_regression;
pub use conformal::jackknife_plus_regression;
pub use conformal::ClassificationScore;
pub use conformal::ConformalClassificationResult;
pub use conformal::ConformalConfig;
pub use conformal::ConformalMethod;
pub use conformal::ConformalRegressionResult;
pub use gmm::gmm_cluster;
pub use gmm::gmm_cluster_with_config;
pub use gmm::gmm_em;
pub use gmm::predict_gmm;
pub use gmm::CovType;
pub use gmm::GmmClusterConfig;
pub use gmm::GmmClusterResult;
pub use gmm::GmmResult;
pub use streaming_depth::FullReferenceState;
pub use streaming_depth::RollingReference;
pub use streaming_depth::SortedReferenceState;
pub use streaming_depth::StreamingBd;
pub use streaming_depth::StreamingDepth;
pub use streaming_depth::StreamingFraimanMuniz;
pub use streaming_depth::StreamingMbd;
pub use smooth_basis::basis_nbasis_cv;
pub use smooth_basis::basis_nbasis_cv_with_config;
pub use smooth_basis::bspline_penalty_matrix;
pub use smooth_basis::fourier_penalty_matrix;
pub use smooth_basis::smooth_basis;
pub use smooth_basis::smooth_basis_gcv;
pub use smooth_basis::smooth_basis_gcv_with_config;
pub use smooth_basis::BasisCriterion;
pub use smooth_basis::BasisNbasisCvConfig;
pub use smooth_basis::BasisNbasisCvResult;
pub use smooth_basis::BasisType;
pub use smooth_basis::FdPar;
pub use smooth_basis::SmoothBasisGcvConfig;
pub use smooth_basis::SmoothBasisResult;
pub use elastic_fpca::horiz_fpca;
pub use elastic_fpca::joint_fpca;
pub use elastic_fpca::vert_fpca;
pub use elastic_fpca::HorizFpcaResult;
pub use elastic_fpca::JointFpcaResult;
pub use elastic_fpca::VertFpcaResult;
pub use elastic_regression::elastic_logistic;
pub use elastic_regression::elastic_logistic_with_config;
pub use elastic_regression::elastic_pcr;
pub use elastic_regression::elastic_pcr_with_config;
pub use elastic_regression::elastic_regression;
pub use elastic_regression::elastic_regression_with_config;
pub use elastic_regression::predict_elastic_logistic;
pub use elastic_regression::predict_elastic_regression;
pub use elastic_regression::predict_scalar_on_shape;
pub use elastic_regression::scalar_on_shape;
pub use elastic_regression::scalar_on_shape;
pub use elastic_regression::ElasticConfig;
pub use elastic_regression::ElasticLogisticResult;
pub use elastic_regression::ElasticPcrConfig;
pub use elastic_regression::ElasticPcrResult;
pub use elastic_regression::ElasticRegressionResult;
pub use elastic_regression::IndexMethod;
pub use elastic_regression::PcaMethod;
pub use elastic_regression::ScalarOnShapeConfig;
pub use elastic_regression::ScalarOnShapeResult;
pub use spm::ewma_scores;
pub use spm::frcc_monitor;
pub use spm::frcc_phase1;
pub use spm::hotelling_t2;
pub use spm::mf_spm_monitor;
pub use spm::mf_spm_phase1;
pub use spm::mfpca;
pub use spm::mfpca;
pub use spm::spe_contributions;
pub use spm::spe_control_limit;
pub use spm::spe_multivariate;
pub use spm::spe_univariate;
pub use spm::spm_ewma_monitor;
pub use spm::spm_monitor;
pub use spm::spm_phase1;
pub use spm::t2_contributions;
pub use spm::t2_control_limit;
pub use spm::ControlLimit;
pub use spm::EwmaConfig;
pub use spm::EwmaMonitorResult;
pub use spm::FrccChart;
pub use spm::FrccConfig;
pub use spm::FrccMonitorResult;
pub use spm::MfSpmChart;
pub use spm::MfpcaConfig;
pub use spm::MfpcaResult;
pub use spm::SpmChart;
pub use spm::SpmConfig;
pub use spm::SpmMonitorResult;
pub use elastic_changepoint::elastic_amp_changepoint;
pub use elastic_changepoint::elastic_fpca_changepoint;
pub use elastic_changepoint::elastic_ph_changepoint;
pub use elastic_changepoint::ChangepointResult;
pub use elastic_changepoint::ChangepointType;
pub use elastic_changepoint::FpcaChangepointMethod;
pub use cv::create_folds;
pub use cv::create_stratified_folds;
pub use cv::cv_fdata;
pub use cv::fold_indices;
pub use cv::subset_rows;
pub use cv::subset_vec;
pub use cv::CvFdataResult;
pub use cv::CvMetrics;
pub use cv::CvType;
pub use smoothing::cv_smoother;
pub use smoothing::gcv_smoother;
pub use smoothing::knn_gcv;
pub use smoothing::knn_lcv;
pub use smoothing::optim_bandwidth;
pub use smoothing::CvCriterion;
pub use smoothing::KnnCvResult;
pub use smoothing::OptimBandwidthResult;
pub use regression::fdata_to_pc_1d;
pub use regression::fdata_to_pls_1d;
pub use regression::FpcaResult;
pub use regression::PlsResult;
pub use clustering::calinski_harabasz;
pub use clustering::fuzzy_cmeans_fd;
pub use clustering::kmeans_fd;
pub use clustering::silhouette_score;
pub use clustering::FuzzyCmeansResult;
pub use clustering::KmeansResult;
pub use metric::dtw_cross_1d;
pub use metric::dtw_distance;
pub use metric::dtw_self_1d;
pub use metric::fourier_cross_1d;
pub use metric::fourier_self_1d;
pub use metric::hausdorff_3d;
pub use metric::hausdorff_cross_1d;
pub use metric::hausdorff_cross_2d;
pub use metric::hausdorff_self_1d;
pub use metric::hausdorff_self_2d;
pub use metric::hshift_cross_1d;
pub use metric::hshift_self_1d;
pub use metric::lp_cross_1d;
pub use metric::lp_cross_2d;
pub use metric::lp_self_1d;
pub use metric::lp_self_2d;
pub use metric::soft_dtw_barycenter;
pub use metric::soft_dtw_cross_1d;
pub use metric::soft_dtw_distance;
pub use metric::soft_dtw_div_cross_1d;
pub use metric::soft_dtw_div_self_1d;
pub use metric::soft_dtw_divergence;
pub use metric::soft_dtw_self_1d;
pub use metric::SoftDtwBarycenterResult;
pub use depth::band_1d;
pub use depth::fraiman_muniz_1d;
pub use depth::fraiman_muniz_2d;
pub use depth::functional_spatial_1d;
pub use depth::functional_spatial_2d;
pub use depth::kernel_functional_spatial_1d;
pub use depth::kernel_functional_spatial_2d;
pub use depth::modal_1d;
pub use depth::modal_2d;
pub use depth::modified_band_1d;
pub use depth::modified_epigraph_index_1d;
pub use depth::random_projection_1d;
pub use depth::random_projection_1d_seeded;
pub use depth::random_projection_2d;
pub use depth::random_tukey_1d;
pub use depth::random_tukey_1d_seeded;
pub use depth::random_tukey_2d;
pub use outliers::detect_outliers_lrt;
pub use outliers::outliers_threshold_lrt;
pub use outliers::outliers_threshold_lrt_with_dist;
pub use utility::compute_adot;
pub use utility::inner_product;
pub use utility::inner_product_matrix;
pub use utility::integrate_simpson;
pub use utility::knn_loocv;
pub use utility::knn_predict;
pub use utility::pcvm_statistic;
pub use utility::rp_stat;
pub use utility::RpStatResult;
pub use fdata::center_1d;
pub use fdata::deriv_1d;
pub use fdata::deriv_2d;
pub use fdata::geometric_median_1d;
pub use fdata::geometric_median_2d;
pub use fdata::mean_1d;
pub use fdata::mean_2d;
pub use fdata::norm_lp_1d;
pub use fdata::Deriv2DResult;
pub use basis::basis_to_fdata;
pub use basis::basis_to_fdata_1d;
pub use basis::bspline_basis;
pub use basis::difference_matrix;
pub use basis::fdata_to_basis;
pub use basis::fdata_to_basis_1d;
pub use basis::fourier_basis;
pub use basis::fourier_basis_with_period;
pub use basis::fourier_fit_1d;
pub use basis::pspline_fit_1d;
pub use basis::select_basis_auto_1d;
pub use basis::select_fourier_nbasis_gcv;
pub use basis::BasisAutoSelectionResult;
pub use basis::BasisProjectionResult;
pub use basis::FourierFitResult;
pub use basis::ProjectionBasisType;
pub use basis::PsplineFitResult;
pub use basis::SingleCurveSelection;

Modules§

alignment
Elastic alignment and SRSF (Square-Root Slope Function) transforms.
andrews
Andrews curves transformation for multivariate and functional data.
basis
Basis representation functions for functional data.
classification
Functional classification with mixed scalar/functional predictors.
clustering
Clustering algorithms for functional data.
conformal
Conformal prediction intervals and prediction sets.
covariance
Covariance kernels and Gaussian process generation.
cv
Cross-validation utilities and unified CV framework.
depth
Depth measures for functional data.
detrend
Detrending and decomposition functions for non-stationary functional data.
elastic
Unified access to elastic (SRSF-based) analysis methods.
elastic_changepoint
Elastic changepoint detection for functional data streams.
elastic_explain
Elastic shape explainability: amplitude vs phase attribution.
elastic_fpca
Vertical, horizontal, and joint FPCA for elastic functional data.
elastic_regression
Elastic regression models (alignment-integrated regression).
error
explain
Explainability toolkit for FPC-based scalar-on-function models.
explain_generic
Generic explainability for any FPC-based model.
famm
Functional Additive Mixed Models (FAMM).
fdata
Functional data operations: mean, center, derivatives, norms, and geometric median.
function_on_scalar
Function-on-scalar regression and functional ANOVA.
function_on_scalar_2d
2D Function-on-Scalar Regression (FOSR).
gmm
Model-based functional clustering via Gaussian mixture models.
helpers
Helper functions for numerical integration and common operations.
irreg_fdata
Irregular functional data operations.
landmark
Landmark-based registration for functional data.
matrix
Column-major matrix type for functional data analysis.
metric
Distance metrics and semimetrics for functional data.
outliers
Outlier detection for functional data.
parallel
Parallel iteration abstraction for WASM compatibility.
prelude
Convenience re-exports for common fdars-core types.
regression
Regression functions for functional data.
scalar_on_function
Scalar-on-function regression with mixed scalar/functional covariates.
seasonal
Seasonal time series analysis for functional data.
simulation
Simulation functions for functional data.
smooth_basis
Basis-penalized smoothing with continuous derivative penalties.
smoothing
Smoothing functions for functional data.
spm
Statistical Process Monitoring (SPM) for functional data.
streaming_depth
Streaming / online depth computation for functional data.
tolerance
Tolerance bands for functional data.
utility
Utility functions for functional data analysis.
warping
Warping function utilities and Hilbert sphere geometry.

Macros§

iter_maybe_parallel
Macro for conditionally parallel iteration over ranges.
maybe_par_chunks_mut
Macro for parallel/sequential chunks iteration on mutable slices.
maybe_par_chunks_mut_enumerate
Macro for enumerated parallel/sequential chunks iteration.
slice_maybe_parallel
Macro for conditionally parallel reference iteration over slices.
slice_maybe_parallel_mut
Macro for conditionally parallel mutable iteration over slices.