index.html overview.html math_toolkit/main_intro.html math_toolkit/navigation.html math_toolkit/conventions.html math_toolkit/hints.html math_toolkit/directories.html math_toolkit/namespaces.html math_toolkit/result_type.html math_toolkit/error_handling.html math_toolkit/compilers_overview.html math_toolkit/config_macros.html math_toolkit/intro_pol_overview.html math_toolkit/threads.html math_toolkit/perf_over1.html math_toolkit/building.html math_toolkit/history1.html math_toolkit/overview_tr1.html math_toolkit/main_faq.html math_toolkit/contact.html utils.html math_toolkit/rounding.html math_toolkit/rounding/round.html math_toolkit/rounding/trunc.html math_toolkit/rounding/modf.html math_toolkit/fpclass.html math_toolkit/sign_functions.html math_toolkit/fp_facets.html math_toolkit/fp_facets/facets_intro.html math_toolkit/fp_facets/reference.html math_toolkit/fp_facets/examples.html math_toolkit/fp_facets/portability.html math_toolkit/fp_facets/rationale.html math_toolkit/next_float.html math_toolkit/next_float/nextafter.html math_toolkit/next_float/float_next.html math_toolkit/next_float/float_prior.html math_toolkit/next_float/float_distance.html math_toolkit/next_float/float_advance.html math_toolkit/next_float/ulp.html math_toolkit/float_comparison.html math_toolkit/cond.html cstdfloat.html math_toolkit/specified_typedefs.html math_toolkit/rationale.html math_toolkit/exact_typdefs.html math_toolkit/minimum_typdefs.html math_toolkit/fastest_typdefs.html math_toolkit/greatest_typdefs.html math_toolkit/macros.html math_toolkit/examples.html math_toolkit/float128_hints.html math_toolkit/float128.html math_toolkit/float128/overloading.html math_toolkit/float128/exp_function.html math_toolkit/float128/typeinfo.html constants.html math_toolkit/constants_intro.html math_toolkit/tutorial.html math_toolkit/tutorial/non_templ.html math_toolkit/tutorial/templ.html math_toolkit/tutorial/user_def.html math_toolkit/constants.html math_toolkit/new_const.html math_toolkit/constants_faq.html dist.html math_toolkit/stat_tut.html math_toolkit/stat_tut/overview.html math_toolkit/stat_tut/overview/headers.html math_toolkit/stat_tut/overview/objects.html math_toolkit/stat_tut/overview/generic.html math_toolkit/stat_tut/overview/complements.html math_toolkit/stat_tut/overview/parameters.html math_toolkit/stat_tut/overview/summary.html math_toolkit/stat_tut/weg.html math_toolkit/stat_tut/weg/dist_construct_eg.html math_toolkit/stat_tut/weg/st_eg.html math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html math_toolkit/stat_tut/weg/st_eg/paired_st.html math_toolkit/stat_tut/weg/cs_eg.html math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html math_toolkit/stat_tut/weg/f_eg.html math_toolkit/stat_tut/weg/binom_eg.html math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html math_toolkit/stat_tut/weg/binom_eg/binom_conf.html math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html math_toolkit/stat_tut/weg/geometric_eg.html math_toolkit/stat_tut/weg/neg_binom_eg.html math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html math_toolkit/stat_tut/weg/normal_example.html math_toolkit/stat_tut/weg/normal_example/normal_misc.html math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html math_toolkit/stat_tut/weg/nccs_eg.html math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html math_toolkit/stat_tut/weg/error_eg.html math_toolkit/stat_tut/weg/find_eg.html math_toolkit/stat_tut/weg/find_eg/find_location_eg.html math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html math_toolkit/stat_tut/weg/nag_library.html math_toolkit/stat_tut/weg/c_sharp.html math_toolkit/stat_tut/variates.html math_toolkit/stat_tut/dist_params.html math_toolkit/dist_ref.html math_toolkit/dist_ref/nmp.html math_toolkit/dist_ref/dists.html math_toolkit/dist_ref/dists/arcine_dist.html math_toolkit/dist_ref/dists/bernoulli_dist.html math_toolkit/dist_ref/dists/beta_dist.html math_toolkit/dist_ref/dists/binomial_dist.html math_toolkit/dist_ref/dists/cauchy_dist.html math_toolkit/dist_ref/dists/chi_squared_dist.html math_toolkit/dist_ref/dists/empirical_cdf.html math_toolkit/dist_ref/dists/exp_dist.html math_toolkit/dist_ref/dists/extreme_dist.html math_toolkit/dist_ref/dists/f_dist.html math_toolkit/dist_ref/dists/gamma_dist.html math_toolkit/dist_ref/dists/geometric_dist.html math_toolkit/dist_ref/dists/hyperexponential_dist.html math_toolkit/dist_ref/dists/hypergeometric_dist.html math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html math_toolkit/dist_ref/dists/inverse_gamma_dist.html math_toolkit/dist_ref/dists/inverse_gaussian_dist.html math_toolkit/dist_ref/dists/laplace_dist.html math_toolkit/dist_ref/dists/logistic_dist.html math_toolkit/dist_ref/dists/lognormal_dist.html math_toolkit/dist_ref/dists/negative_binomial_dist.html math_toolkit/dist_ref/dists/nc_beta_dist.html math_toolkit/dist_ref/dists/nc_chi_squared_dist.html math_toolkit/dist_ref/dists/nc_f_dist.html math_toolkit/dist_ref/dists/nc_t_dist.html math_toolkit/dist_ref/dists/normal_dist.html math_toolkit/dist_ref/dists/pareto.html math_toolkit/dist_ref/dists/poisson_dist.html math_toolkit/dist_ref/dists/rayleigh.html math_toolkit/dist_ref/dists/skew_normal_dist.html math_toolkit/dist_ref/dists/students_t_dist.html math_toolkit/dist_ref/dists/triangular_dist.html math_toolkit/dist_ref/dists/uniform_dist.html math_toolkit/dist_ref/dists/weibull_dist.html math_toolkit/dist_ref/dist_algorithms.html math_toolkit/future.html statistics.html math_toolkit/univariate_statistics.html math_toolkit/bivariate_statistics.html math_toolkit/signal_statistics.html math_toolkit/anderson_darling.html math_toolkit/t_test.html math_toolkit/runs_test.html math_toolkit/ljung_box.html math_toolkit/linear_regression.html vector_functionals.html math_toolkit/norms.html special.html math_toolkit/number_series.html math_toolkit/number_series/bernoulli_numbers.html math_toolkit/number_series/tangent_numbers.html math_toolkit/number_series/primes.html math_toolkit/sf_gamma.html math_toolkit/sf_gamma/tgamma.html math_toolkit/sf_gamma/lgamma.html math_toolkit/sf_gamma/digamma.html math_toolkit/sf_gamma/trigamma.html math_toolkit/sf_gamma/polygamma.html math_toolkit/sf_gamma/gamma_ratios.html math_toolkit/sf_gamma/igamma.html math_toolkit/sf_gamma/igamma_inv.html math_toolkit/sf_gamma/gamma_derivatives.html math_toolkit/factorials.html math_toolkit/factorials/sf_factorial.html math_toolkit/factorials/sf_double_factorial.html math_toolkit/factorials/sf_rising_factorial.html math_toolkit/factorials/sf_falling_factorial.html math_toolkit/factorials/sf_binomial.html math_toolkit/sf_beta.html math_toolkit/sf_beta/beta_function.html math_toolkit/sf_beta/ibeta_function.html math_toolkit/sf_beta/ibeta_inv_function.html math_toolkit/sf_beta/beta_derivative.html math_toolkit/sf_erf.html math_toolkit/sf_erf/error_function.html math_toolkit/sf_erf/error_inv.html math_toolkit/sf_poly.html math_toolkit/sf_poly/legendre.html math_toolkit/sf_poly/legendre_stieltjes.html math_toolkit/sf_poly/laguerre.html math_toolkit/sf_poly/hermite.html math_toolkit/sf_poly/chebyshev.html math_toolkit/sf_poly/sph_harm.html math_toolkit/sf_poly/cardinal_b_splines.html math_toolkit/sf_poly/gegenbauer.html math_toolkit/sf_poly/jacobi.html math_toolkit/bessel.html math_toolkit/bessel/bessel_over.html math_toolkit/bessel/bessel_first.html math_toolkit/bessel/bessel_root.html math_toolkit/bessel/mbessel.html math_toolkit/bessel/sph_bessel.html math_toolkit/bessel/bessel_derivatives.html math_toolkit/hankel.html math_toolkit/hankel/cyl_hankel.html math_toolkit/hankel/sph_hankel.html math_toolkit/airy.html math_toolkit/airy/ai.html math_toolkit/airy/bi.html math_toolkit/airy/aip.html math_toolkit/airy/bip.html math_toolkit/airy/airy_root.html math_toolkit/ellint.html math_toolkit/ellint/ellint_intro.html math_toolkit/ellint/ellint_carlson.html math_toolkit/ellint/ellint_1.html math_toolkit/ellint/ellint_2.html math_toolkit/ellint/ellint_3.html math_toolkit/ellint/ellint_d.html math_toolkit/ellint/jacobi_zeta.html math_toolkit/ellint/heuman_lambda.html math_toolkit/jacobi.html math_toolkit/jacobi/jac_over.html math_toolkit/jacobi/jacobi_elliptic.html math_toolkit/jacobi/jacobi_cd.html math_toolkit/jacobi/jacobi_cn.html math_toolkit/jacobi/jacobi_cs.html math_toolkit/jacobi/jacobi_dc.html math_toolkit/jacobi/jacobi_dn.html math_toolkit/jacobi/jacobi_ds.html math_toolkit/jacobi/jacobi_nc.html math_toolkit/jacobi/jacobi_nd.html math_toolkit/jacobi/jacobi_ns.html math_toolkit/jacobi/jacobi_sc.html math_toolkit/jacobi/jacobi_sd.html math_toolkit/jacobi/jacobi_sn.html math_toolkit/lambert_w.html math_toolkit/zetas.html math_toolkit/zetas/zeta.html math_toolkit/expint.html math_toolkit/expint/expint_n.html math_toolkit/expint/expint_i.html math_toolkit/hypergeometric.html math_toolkit/hypergeometric/hypergeometric_1f0.html math_toolkit/hypergeometric/hypergeometric_0f1.html math_toolkit/hypergeometric/hypergeometric_2f0.html math_toolkit/hypergeometric/hypergeometric_1f1.html math_toolkit/hypergeometric/hypergeometric_pfq.html math_toolkit/hypergeometric/hypergeometric_refs.html math_toolkit/powers.html math_toolkit/powers/sin_pi.html math_toolkit/powers/cos_pi.html math_toolkit/powers/log1p.html math_toolkit/powers/expm1.html math_toolkit/powers/cbrt.html math_toolkit/powers/sqrt1pm1.html math_toolkit/powers/powm1.html math_toolkit/powers/hypot.html math_toolkit/powers/ct_pow.html math_toolkit/sinc.html math_toolkit/sinc/sinc_overview.html math_toolkit/sinc/sinc_pi.html math_toolkit/sinc/sinhc_pi.html math_toolkit/inv_hyper.html math_toolkit/inv_hyper/inv_hyper_over.html math_toolkit/inv_hyper/acosh.html math_toolkit/inv_hyper/asinh.html math_toolkit/inv_hyper/atanh.html math_toolkit/owens_t.html math_toolkit/daubechies.html extern_c.html math_toolkit/main_tr1.html math_toolkit/c99.html math_toolkit/tr1_ref.html root_finding.html math_toolkit/roots_noderiv.html math_toolkit/roots_noderiv/bisect.html math_toolkit/roots_noderiv/bracket_solve.html math_toolkit/roots_noderiv/TOMS748.html math_toolkit/roots_noderiv/brent.html math_toolkit/roots_noderiv/root_termination.html math_toolkit/roots_noderiv/implementation.html math_toolkit/roots_deriv.html math_toolkit/root_finding_examples.html math_toolkit/root_finding_examples/cbrt_eg.html math_toolkit/root_finding_examples/lambda.html math_toolkit/root_finding_examples/5th_root_eg.html math_toolkit/root_finding_examples/multiprecision_root.html math_toolkit/root_finding_examples/nth_root.html math_toolkit/root_finding_examples/elliptic_eg.html math_toolkit/bad_guess.html math_toolkit/bad_roots.html math_toolkit/brent_minima.html math_toolkit/root_comparison.html math_toolkit/root_comparison/cbrt_comparison.html math_toolkit/root_comparison/root_n_comparison.html math_toolkit/root_comparison/elliptic_comparison.html poly.html math_toolkit/polynomials.html math_toolkit/rational.html interpolation.html math_toolkit/cardinal_cubic_b.html math_toolkit/cardinal_quadratic_b.html math_toolkit/cardinal_quintic_b.html math_toolkit/whittaker_shannon.html math_toolkit/barycentric.html math_toolkit/vector_barycentric.html math_toolkit/catmull_rom.html math_toolkit/cardinal_trigonometric.html math_toolkit/cubic_hermite.html math_toolkit/makima.html math_toolkit/pchip.html math_toolkit/quintic_hermite.html quadrature.html math_toolkit/trapezoidal.html math_toolkit/gauss.html math_toolkit/gauss_kronrod.html math_toolkit/double_exponential.html math_toolkit/double_exponential/de_overview.html math_toolkit/double_exponential/de_tanh_sinh.html math_toolkit/double_exponential/de_tanh_sinh_2_arg.html math_toolkit/double_exponential/de_sinh_sinh.html math_toolkit/double_exponential/de_exp_sinh.html math_toolkit/double_exponential/de_tol.html math_toolkit/double_exponential/de_levels.html math_toolkit/double_exponential/de_thread.html math_toolkit/double_exponential/de_caveats.html math_toolkit/double_exponential/de_refes.html math_toolkit/fourier_integrals.html math_toolkit/naive_monte_carlo.html math_toolkit/wavelet_transforms.html math_toolkit/diff.html math_toolkit/autodiff.html math_toolkit/diff0.html filters.html math_toolkit/daubechies_filters.html inverse_complex.html math_toolkit/complex_implementation.html math_toolkit/asin.html math_toolkit/acos.html math_toolkit/atan.html math_toolkit/asinh.html math_toolkit/acosh.html math_toolkit/atanh.html math_toolkit/complex_history.html quaternions.html math_toolkit/quat_overview.html math_toolkit/quat_header.html math_toolkit/quat_synopsis.html math_toolkit/quat.html math_toolkit/spec.html math_toolkit/mem_typedef.html math_toolkit/quat_mem_fun.html math_toolkit/quat_non_mem.html math_toolkit/value_op.html math_toolkit/create.html math_toolkit/trans.html math_toolkit/quat_tests.html math_toolkit/exp.html math_toolkit/acknowledgement.html math_toolkit/quat_history.html math_toolkit/quat_todo.html octonions.html math_toolkit/oct_overview.html math_toolkit/oct_header.html math_toolkit/oct_synopsis.html math_toolkit/octonion.html math_toolkit/oct_specialization.html math_toolkit/oct_typedefs.html math_toolkit/oct_mem_fun.html math_toolkit/oct_non_mem.html math_toolkit/oct_value_ops.html math_toolkit/oct_create.html math_toolkit/oct_trans.html math_toolkit/oct_tests.html math_toolkit/acknowledgements.html math_toolkit/oct_history.html math_toolkit/oct_todo.html gcd_lcm.html internals.html math_toolkit/internals_overview.html math_toolkit/internals.html math_toolkit/internals/series_evaluation.html math_toolkit/internals/cf.html math_toolkit/internals/recurrence.html math_toolkit/internals/tuples.html math_toolkit/internals/minimax.html math_toolkit/internals/error_test.html math_toolkit/internals/test_data.html using_udt.html math_toolkit/high_precision.html math_toolkit/high_precision/why_high_precision.html math_toolkit/high_precision/use_multiprecision.html math_toolkit/high_precision/float128.html math_toolkit/high_precision/use_mpfr.html math_toolkit/high_precision/e_float.html math_toolkit/high_precision/use_ntl.html math_toolkit/high_precision/using_test.html math_toolkit/real_concepts.html math_toolkit/dist_concept.html math_toolkit/archetypes.html policy.html math_toolkit/pol_overview.html math_toolkit/pol_tutorial.html math_toolkit/pol_tutorial/what_is_a_policy.html math_toolkit/pol_tutorial/policy_tut_defaults.html math_toolkit/pol_tutorial/policy_usage.html math_toolkit/pol_tutorial/changing_policy_defaults.html math_toolkit/pol_tutorial/ad_hoc_dist_policies.html math_toolkit/pol_tutorial/ad_hoc_sf_policies.html math_toolkit/pol_tutorial/namespace_policies.html math_toolkit/pol_tutorial/user_def_err_pol.html math_toolkit/pol_tutorial/understand_dis_quant.html math_toolkit/pol_ref.html math_toolkit/pol_ref/error_handling_policies.html math_toolkit/pol_ref/internal_promotion.html math_toolkit/pol_ref/assert_undefined.html math_toolkit/pol_ref/discrete_quant_ref.html math_toolkit/pol_ref/precision_pol.html math_toolkit/pol_ref/iteration_pol.html math_toolkit/pol_ref/policy_defaults.html math_toolkit/pol_ref/namespace_pol.html math_toolkit/pol_ref/pol_ref_ref.html perf.html math_toolkit/perf_over2.html math_toolkit/interp.html math_toolkit/getting_best.html math_toolkit/tradoffs.html math_toolkit/multiprecision.html math_toolkit/tuning.html math_toolkit/comp_compilers.html math_toolkit/comparisons.html math_toolkit/perf_test_app.html backgrounders.html math_toolkit/sf_implementation.html math_toolkit/special_tut.html math_toolkit/special_tut/special_tut_impl.html math_toolkit/special_tut/special_tut_test.html math_toolkit/relative_error.html math_toolkit/lanczos.html math_toolkit/remez.html math_toolkit/refs.html math_toolkit/logs_and_tables.html math_toolkit/logs_and_tables/all_table.html math_toolkit/logs_and_tables/logs.html status.html math_toolkit/history2.html math_toolkit/issues.html math_toolkit/credits.html indexes.html indexes/s01.html indexes/s02.html indexes/s03.html indexes/s04.html indexes/s05.html