From da1216611d5baac06acb66bb18bb9ecf3264bd3f Mon Sep 17 00:00:00 2001 From: John Maddock Date: Thu, 23 Jul 2009 12:32:21 +0000 Subject: [PATCH] Fix broken link and regenerated docs. [SVN r55123] --- doc/sf_and_dist/concepts.qbk | 6 ++- doc/sf_and_dist/html/index.html | 4 +- .../backgrounders/implementation.html | 30 +++++------ .../math_toolkit/backgrounders/lanczos.html | 14 ++--- .../html/math_toolkit/backgrounders/refs.html | 6 +-- .../backgrounders/relative_error.html | 2 +- .../math_toolkit/backgrounders/remez.html | 16 +++--- .../dist/dist_ref/dist_algorithms.html | 6 +-- .../dist/dist_ref/dists/bernoulli_dist.html | 10 ++-- .../dist/dist_ref/dists/beta_dist.html | 20 +++---- .../dist/dist_ref/dists/binomial_dist.html | 26 ++++----- .../dist/dist_ref/dists/cauchy_dist.html | 10 ++-- .../dist/dist_ref/dists/chi_squared_dist.html | 12 ++--- .../dist/dist_ref/dists/exp_dist.html | 10 ++-- .../dist/dist_ref/dists/extreme_dist.html | 8 +-- .../dist/dist_ref/dists/f_dist.html | 10 ++-- .../dist/dist_ref/dists/gamma_dist.html | 8 +-- .../dist_ref/dists/hypergeometric_dist.html | 10 ++-- .../dist/dist_ref/dists/laplace_dist.html | 10 ++-- .../dist/dist_ref/dists/logistic_dist.html | 8 +-- .../dist/dist_ref/dists/lognormal_dist.html | 8 +-- .../dist/dist_ref/dists/nc_beta_dist.html | 12 ++--- .../dist_ref/dists/nc_chi_squared_dist.html | 14 ++--- .../dist/dist_ref/dists/nc_f_dist.html | 10 ++-- .../dist/dist_ref/dists/nc_t_dist.html | 12 ++--- .../dists/negative_binomial_dist.html | 24 ++++----- .../dist/dist_ref/dists/normal_dist.html | 8 +-- .../dist/dist_ref/dists/pareto.html | 12 ++--- .../dist/dist_ref/dists/poisson_dist.html | 8 +-- .../dist/dist_ref/dists/rayleigh.html | 12 ++--- .../dist/dist_ref/dists/students_t_dist.html | 10 ++-- .../dist/dist_ref/dists/triangular_dist.html | 10 ++-- .../dist/dist_ref/dists/uniform_dist.html | 10 ++-- .../dist/dist_ref/dists/weibull.html | 12 ++--- .../html/math_toolkit/dist/dist_ref/nmp.html | 54 +++++++++---------- .../html/math_toolkit/dist/future.html | 8 +-- .../weg/binom_eg/binomial_quiz_example.html | 4 +- .../stat_tut/weg/cs_eg/chi_sq_intervals.html | 2 +- .../dist/stat_tut/weg/dist_construct_eg.html | 2 +- .../weg/find_eg/find_location_eg.html | 2 +- .../weg/find_eg/find_mean_and_sd_eg.html | 6 +-- .../stat_tut/weg/find_eg/find_scale_eg.html | 2 +- .../weg/normal_example/normal_misc.html | 14 ++--- .../html/math_toolkit/extern_c/c99.html | 4 +- .../html/math_toolkit/extern_c/tr1.html | 10 ++-- .../html/math_toolkit/extern_c/tr1_ref.html | 6 +-- .../math_toolkit/main_overview/building.html | 6 +-- .../main_overview/compilers_overview.html | 4 +- .../main_overview/directories.html | 4 +- .../main_overview/error_handling.html | 40 +++++++------- .../math_toolkit/main_overview/history1.html | 18 +++---- .../math_toolkit/main_overview/intro.html | 6 +-- .../main_overview/navigation.html | 2 +- .../html/math_toolkit/main_overview/tr1.html | 10 ++-- .../math_toolkit/perf/comp_compilers.html | 2 +- .../html/math_toolkit/perf/comparisons.html | 54 +++++++++---------- .../html/math_toolkit/perf/getting_best.html | 2 +- .../html/math_toolkit/perf/tuning.html | 4 +- .../policy/pol_ref/discrete_quant_ref.html | 12 ++--- .../pol_ref/error_handling_policies.html | 14 ++--- .../policy/pol_ref/internal_promotion.html | 2 +- .../policy/pol_ref/policy_defaults.html | 32 +++++------ .../pol_tutorial/understand_dis_quant.html | 2 +- .../math_toolkit/special/bessel/bessel.html | 14 ++--- .../special/bessel/bessel_over.html | 6 +-- .../math_toolkit/special/bessel/mbessel.html | 14 ++--- .../special/bessel/sph_bessel.html | 10 ++-- .../math_toolkit/special/ellint/ellint_1.html | 12 ++--- .../math_toolkit/special/ellint/ellint_2.html | 12 ++--- .../math_toolkit/special/ellint/ellint_3.html | 16 +++--- .../special/ellint/ellint_carlson.html | 12 ++--- .../special/ellint/ellint_intro.html | 12 ++--- .../math_toolkit/special/expint/expint_i.html | 16 +++--- .../math_toolkit/special/expint/expint_n.html | 12 ++--- .../special/factorials/sf_binomial.html | 6 +-- .../factorials/sf_double_factorial.html | 6 +-- .../special/factorials/sf_factorial.html | 10 ++-- .../factorials/sf_falling_factorial.html | 6 +-- .../factorials/sf_rising_factorial.html | 6 +-- .../math_toolkit/special/inv_hyper/acosh.html | 6 +-- .../math_toolkit/special/inv_hyper/asinh.html | 6 +-- .../math_toolkit/special/inv_hyper/atanh.html | 6 +-- .../math_toolkit/special/powers/cbrt.html | 4 +- .../math_toolkit/special/powers/ct_pow.html | 14 ++--- .../math_toolkit/special/powers/expm1.html | 4 +- .../math_toolkit/special/powers/hypot.html | 2 +- .../math_toolkit/special/powers/log1p.html | 4 +- .../math_toolkit/special/powers/powm1.html | 4 +- .../math_toolkit/special/powers/sqrt1pm1.html | 4 +- .../special/sf_beta/beta_derivative.html | 8 +-- .../special/sf_beta/beta_function.html | 12 ++--- .../special/sf_beta/ibeta_function.html | 18 +++---- .../special/sf_beta/ibeta_inv_function.html | 10 ++-- .../special/sf_erf/error_function.html | 14 ++--- .../special/sf_erf/error_inv.html | 10 ++-- .../special/sf_gamma/digamma.html | 10 ++-- .../special/sf_gamma/gamma_derivatives.html | 8 +-- .../special/sf_gamma/gamma_ratios.html | 12 ++--- .../math_toolkit/special/sf_gamma/igamma.html | 20 +++---- .../special/sf_gamma/igamma_inv.html | 10 ++-- .../math_toolkit/special/sf_gamma/lgamma.html | 10 ++-- .../math_toolkit/special/sf_gamma/tgamma.html | 10 ++-- .../math_toolkit/special/sf_poly/hermite.html | 12 ++--- .../special/sf_poly/laguerre.html | 14 ++--- .../special/sf_poly/legendre.html | 16 +++--- .../special/sf_poly/sph_harm.html | 12 ++--- .../html/math_toolkit/special/zetas/zeta.html | 12 ++--- .../html/math_toolkit/status/compilers.html | 4 +- .../html/math_toolkit/status/history1.html | 18 +++---- .../html/math_toolkit/status/issues.html | 16 +++--- .../math_toolkit/toolkit/internals1/cf.html | 8 +-- .../toolkit/internals1/constants.html | 4 +- .../toolkit/internals1/minima.html | 6 +-- .../toolkit/internals1/rational.html | 6 +-- .../toolkit/internals1/roots.html | 12 ++--- .../toolkit/internals1/roots2.html | 6 +-- .../toolkit/internals1/series_evaluation.html | 6 +-- .../toolkit/internals2/error_test.html | 6 +-- .../toolkit/internals2/polynomials.html | 4 +- .../toolkit/internals2/test_data.html | 12 ++--- .../html/math_toolkit/using_udt/concepts.html | 14 ++--- .../html/math_toolkit/utils/fpclass.html | 4 +- .../utils/next_float/float_advance.html | 4 +- .../utils/next_float/float_distance.html | 4 +- .../utils/next_float/float_next.html | 4 +- .../utils/next_float/float_prior.html | 4 +- .../utils/next_float/nextafter.html | 6 +-- .../math_toolkit/utils/sign_functions.html | 4 +- 128 files changed, 656 insertions(+), 654 deletions(-) diff --git a/doc/sf_and_dist/concepts.qbk b/doc/sf_and_dist/concepts.qbk index 775345154..227141afa 100644 --- a/doc/sf_and_dist/concepts.qbk +++ b/doc/sf_and_dist/concepts.qbk @@ -238,8 +238,9 @@ In addition, for efficient and accurate results, a __lanczos is highly desirable You may be able to adapt an existing approximation from [@../../../../../boost/math/special_functions/lanczos.hpp boost/math/special_functions/lanczos.hpp] or -[@../../../tools/ntl_rr_lanczos.hpp libs/math/tools/ntl_rr_lanczos.hpp]: -you will need change +[@../../../../../boost/math/bindings/detail/big_lanczos.hpp +boost/math/bindings/detail/big_lanczos.hpp]: +in the former case you will need change static_cast's to lexical_cast's, and the constants to /strings/ (in order to ensure the coefficients aren't truncated to long double) and then specialise `lanczos_traits` for type T. Otherwise you may have to hack @@ -420,3 +421,4 @@ there too.) + diff --git a/doc/sf_and_dist/html/index.html b/doc/sf_and_dist/html/index.html index 3c32df895..715c030d8 100644 --- a/doc/sf_and_dist/html/index.html +++ b/doc/sf_and_dist/html/index.html @@ -53,7 +53,7 @@ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg

-

+

Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

@@ -488,7 +488,7 @@

- +

Last revised: May 21, 2009 at 16:48:36 GMT

Last revised: July 23, 2009 at 12:24:16 GMT


diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html b/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html index 1aafdd4e8..15aeb7e8b 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html @@ -33,7 +33,7 @@ and reflect more the general implementation philosophy used.

- + Implemention philosophy
@@ -85,7 +85,7 @@ These could still provide sufficient accuracy for some speed-critical applications.

- + Accuracy and Representation of Test Values
@@ -130,7 +130,7 @@ binary value).

- + Tolerance of Tests
@@ -156,7 +156,7 @@ first that the suffix L is present, and then that the tolerance is big enough.

- + Handling Unsuitable Arguments
@@ -242,7 +242,7 @@

- + Handling of Functions that are Not Mathematically defined
@@ -276,7 +276,7 @@

- + Median of distributions
@@ -309,7 +309,7 @@ Basic Statistics. give more detail, in particular for discrete distributions.

- + Handling of Floating-Point Infinity
@@ -353,7 +353,7 @@ handling policies.

- + Scale, Shape and Location
@@ -380,7 +380,7 @@ functions, they can be added if required.

- + Notes on Implementation of Specific Functions & Distributions
@@ -392,7 +392,7 @@ 0 and upper = 1 would be more suitable.
- + Rational Approximations Used
@@ -435,7 +435,7 @@ to the "true" minimax solution.

- + Representation of Mathematical Constants
@@ -496,7 +496,7 @@ double p = boost::math::constants::pi(); // Context does not allow for disambiguation of overloaded function
- + Thread safety
@@ -521,7 +521,7 @@ the right thing here at some point.

- + Sources of Test Data
@@ -565,7 +565,7 @@ the underlying special function is known to be difficult to implement.

- + Creating and Managing the Equations
@@ -737,7 +737,7 @@ done HTML: this needs further investigation.

- + Producing Graphs
diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html b/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html index 3a6270f33..ae35ad552 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html @@ -27,7 +27,7 @@ The Lanczos Approximation
- + Motivation

@@ -98,7 +98,7 @@ functions divided by large powers into single (simpler) expressions.

- + The Approximation
@@ -160,7 +160,7 @@

- + Computing the Coefficients
@@ -204,7 +204,7 @@ multiplied by F as the last step.

- + Choosing the Right Parameters
@@ -228,7 +228,7 @@ computing to float precision with double precision arithmetic.

-

Table 53. Optimal choices for N and g when computing with +

Table 53. Optimal choices for N and g when computing with guard digits (source: Pugh)

@@ -371,7 +371,7 @@ exactly matches the machine epsilon for the type in question.

-

Table 54. Optimum value for N and g when computing at fixed +

Table 54. Optimum value for N and g when computing at fixed precision

@@ -536,7 +536,7 @@ is exact, and so isn't used for the gamma function.

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html b/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html index 28c874477..12cd51037 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html @@ -27,7 +27,7 @@ References
- + General references
@@ -91,7 +91,7 @@ Library (version 2), Walter E. Brown

- + Calculators* that we found (and used to cross-check - as far as their widely-varying accuracy allowed). @@ -101,7 +101,7 @@ Binomial Probability Distribution Calculator.

- + Other Libraries

diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html b/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html index e45bd3059..12217b21d 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html @@ -81,7 +81,7 @@

- + The Impossibility of Zero Error
diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html b/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html index 6b0661739..3d0c77758 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html @@ -94,7 +94,7 @@ are located!

- + The Remez Method
@@ -174,7 +174,7 @@
- + Remez Step 1
@@ -205,7 +205,7 @@ to 5.6x10-4.

- + Remez Step 2
@@ -234,7 +234,7 @@ In our example we perform multi-point exchange.

- + Iteration

@@ -250,7 +250,7 @@ remez-4

- + Rational Approximations
@@ -299,7 +299,7 @@ number of terms overall.

- + Practical Considerations
@@ -407,7 +407,7 @@ desired minimax solution (5x10-4).

- + Remez Method Checklist
@@ -461,7 +461,7 @@
- + References

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html index 6153e4bfe..22c237222 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html @@ -28,7 +28,7 @@ Algorithms

- + Finding the Location and Scale for Normal and similar distributions
@@ -50,7 +50,7 @@ using boost::math::complement; // Will be needed by users who want to use complements.
- + find_location function
@@ -80,7 +80,7 @@ }} // namespaces
- + find_scale function
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html index 0b49dd923..86ae2866a 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html @@ -87,7 +87,7 @@

- + Member Functions
@@ -103,7 +103,7 @@ Returns the success_fraction parameter of this distribution.

- + Non-member Accessors
@@ -128,7 +128,7 @@ exception and make an error message available.

- + Accuracy

@@ -136,7 +136,7 @@ and so should have errors within an epsilon or two.

- + Implementation

@@ -327,7 +327,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html index a5b73efd4..7e612ae35 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html @@ -133,12 +133,12 @@ from the centre (where x = half).

    - + Member Functions
    - + Constructor
    beta_distribution(RealType alpha, RealType beta);
    @@ -165,7 +165,7 @@
                 yellow in the graph above).
               

    - + Parameter Accessors
    @@ -189,7 +189,7 @@ assert(mybeta.beta() == 5.); // mybeta.beta() returns 5
    - + Parameter Estimators
    @@ -242,7 +242,7 @@ from presumed-known mean and variance. Returns the value of β that gives: cdf(beta_distribution<RealType>(alpha, beta), x) == probability.

    - + Non-member Accessor Functions
    @@ -264,7 +264,7 @@ from presumed-known mean and variance. Mathworld.

    - + Applications

    @@ -277,7 +277,7 @@ from presumed-known mean and variance. statistical inference.

    - + Related distributions
    @@ -303,7 +303,7 @@ from presumed-known mean and variance. Distribution with its p parameter set to x.

    - + Accuracy

    @@ -315,7 +315,7 @@ from presumed-known mean and variance. please refer to these functions for information on accuracy.

    - + Implementation

    @@ -597,7 +597,7 @@ from presumed-known mean and variance.

- + References

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html index 47fc0b1d3..bd33c1e44 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html @@ -167,12 +167,12 @@

- + Member Functions
- + Construct
binomial_distribution(RealType n, RealType p);
@@ -189,7 +189,7 @@
             otherwise calls domain_error.
           

- + Accessors
RealType success_fraction() const;
@@ -205,7 +205,7 @@
             was constructed.
           

- + Lower Bound on the Success Fraction
@@ -311,7 +311,7 @@ limits illustrated in the case of the binomial. Biometrika 26 404-413.

- + Upper Bound on the Success Fraction
@@ -389,7 +389,7 @@
- + Estimating the Number of Trials Required for a Certain Number of Successes
@@ -431,7 +431,7 @@ of seeing 10 events that occur with frequency one half.

- + Estimating the Maximum Number of Trials to Ensure no more than a Certain Number of Successes @@ -479,7 +479,7 @@ Worked Example.

- + Non-member Accessors
@@ -504,7 +504,7 @@ in the context of this distribution:

-

Table 11. Meaning of the non-member accessors

+

Table 11. Meaning of the non-member accessors

@@ -627,7 +627,7 @@

- + Examples

@@ -635,7 +635,7 @@ examples are available illustrating the use of the binomial distribution.

- + Accuracy

@@ -645,7 +645,7 @@ please refer to these functions for information on accuracy.

- + Implementation

@@ -886,7 +886,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html index 81a3bed30..64611c575 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html @@ -88,7 +88,7 @@

    - + Member Functions
    @@ -114,7 +114,7 @@ Returns the scale parameter of the distribution.

    - + Non-member Accessors
    @@ -151,7 +151,7 @@ The domain of the random variable is [-[max_value], +[min_value]].

    - + Accuracy

    @@ -160,7 +160,7 @@ have very low error rates.

    - + Implementation

    @@ -276,7 +276,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html index a047ebcac..a390e3ec2 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html @@ -87,7 +87,7 @@ independent, normally distributed random

    - + Member Functions
    @@ -170,7 +170,7 @@ independent, normally distributed random NIST Engineering Statistics Handbook, Section 7.2.3.2.

    - + Non-member Accessors
    @@ -196,7 +196,7 @@ independent, normally distributed random The domain of the random variable is [0, +∞].

    - + Examples

    @@ -204,7 +204,7 @@ independent, normally distributed random are available illustrating the use of the Chi Squared Distribution.

    - + Accuracy

    @@ -212,7 +212,7 @@ independent, normally distributed random gamma functions: please refer to the accuracy data for those functions.

    - + Implementation

    @@ -379,7 +379,7 @@ independent, normally distributed random

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html index 2e57976f4..4e57d61f1 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html @@ -71,7 +71,7 @@

    - + Member Functions
    @@ -91,7 +91,7 @@ Accessor function returns the lambda parameter of the distribution.

    - + Non-member Accessors
    @@ -111,7 +111,7 @@ The domain of the random variable is [0, +∞].

    - + Accuracy

    @@ -122,7 +122,7 @@ should have very low error rates.

    - + Implementation

    @@ -283,7 +283,7 @@

- + references
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html index 124607f0c..5e7ee5e25 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html @@ -100,7 +100,7 @@

    - + Member Functions
    @@ -125,7 +125,7 @@ Returns the scale parameter of the distribution.

    - + Non-member Accessors
    @@ -145,7 +145,7 @@ The domain of the random parameter is [-∞, +∞].

    - + Accuracy

    @@ -154,7 +154,7 @@ very low error rates.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html index 8b50e3756..c63b0916e 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html @@ -80,7 +80,7 @@

    - + Member Functions
    @@ -106,7 +106,7 @@ Returns the denominator degrees of freedom parameter of the distribution.

    - + Non-member Accessors
    @@ -126,7 +126,7 @@ The domain of the random variable is [0, +∞].

    - + Examples

    @@ -134,7 +134,7 @@ are available illustrating the use of the F Distribution.

    - + Accuracy

    @@ -143,7 +143,7 @@ refer to those functions for accuracy data.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html index 63f002417..8f2848270 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html @@ -137,7 +137,7 @@ than a dedicated Erlang Distribution.

    - + Member Functions
    @@ -162,7 +162,7 @@ Returns the scale parameter of this distribution.

    - + Non-member Accessors
    @@ -182,7 +182,7 @@ The domain of the random variable is [0,+∞].

    - + Accuracy

    @@ -194,7 +194,7 @@ refer to the accuracy data for those functions for more information.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html index 965398713..9e205db03 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html @@ -102,7 +102,7 @@

    - + Member Functions
    @@ -131,7 +131,7 @@ from the population N.

    - + Non-member Accessors
    @@ -185,7 +185,7 @@
- + Accuracy

@@ -211,7 +211,7 @@ meaningless for N >= 1015.

- + Testing

@@ -223,7 +223,7 @@ this implementation and NTL::RR.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html index f459e64c4..58e4abc97 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html @@ -87,7 +87,7 @@

- + Member Functions
@@ -119,7 +119,7 @@ Returns the scale parameter of this distribution.

- + Non-member Accessors
@@ -139,7 +139,7 @@ The domain of the random variable is [-∞,+∞].

- + Accuracy

@@ -147,7 +147,7 @@ log and exp functions and as such should have very small errors.

- + Implementation

@@ -335,7 +335,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html index f98cbb94d..841098e4f 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html @@ -72,7 +72,7 @@

    - + Member Functions
    @@ -98,7 +98,7 @@ Returns the scale of this distribution.

    - + Non-member Accessors
    @@ -128,7 +128,7 @@ as special cases if RealType and +overflow_error respectively.

    - + Accuracy

    @@ -140,7 +140,7 @@ as special cases if RealType error can be guarenteed.

    - + Implementation
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html index e5f979a57..f2fce426b 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html @@ -88,7 +88,7 @@

    - + Member Functions
    @@ -121,7 +121,7 @@ Returns the scale parameter of this distribution.

    - + Non-member Accessors
    @@ -141,7 +141,7 @@ The domain of the random variable is [0,+∞].

    - + Accuracy

    @@ -150,7 +150,7 @@ function, and as such should have very low error rates.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html index 25c693a7d..a60fd0111 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html @@ -96,7 +96,7 @@ is a central χ2 random variable with

    - + Member Functions
    @@ -128,7 +128,7 @@ is a central χ2 random variable with was constructed.

    - + Non-member Accessors
    @@ -152,7 +152,7 @@ is a central χ2 random variable with The domain of the random variable is [0, 1].

    - + Accuracy

    @@ -168,7 +168,7 @@ is a central χ2 random variable with zero error.

    -

    Table 13. Errors In CDF of the Noncentral Beta

    +

    Table 13. Errors In CDF of the Noncentral Beta

    @@ -295,7 +295,7 @@ is a central χ2 random variable with functions are broadly similar.

    - + Tests

    @@ -307,7 +307,7 @@ is a central χ2 random variable with tests.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html index 2ef4f702a..36766a48b 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html @@ -110,7 +110,7 @@

    - + Member Functions
    @@ -183,7 +183,7 @@ == q.

    - + Non-member Accessors
    @@ -203,7 +203,7 @@ The domain of the random variable is [0, +∞].

    - + Examples

    @@ -211,7 +211,7 @@ example for the noncentral chi-squared distribution.

    - + Accuracy

    @@ -223,7 +223,7 @@ zero error.

    -

    Table 14. Errors In CDF of the Noncentral Chi-Squared

    +

    Table 14. Errors In CDF of the Noncentral Chi-Squared

    @@ -359,7 +359,7 @@ produce an accuracy greater than the square root of the machine epsilon.

    - + Tests

    @@ -373,7 +373,7 @@ to at least 50 decimal digits - and is the used for our accuracy tests.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html index 4745f88d4..8b8c7211e 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html @@ -95,7 +95,7 @@ random variable with v1

    - + Member Functions
    @@ -127,7 +127,7 @@ random variable with v1 which this object was constructed.

    - + Non-member Accessors
    @@ -147,7 +147,7 @@ random variable with v1 The domain of the random variable is [0, +∞].

    - + Accuracy

    @@ -155,7 +155,7 @@ random variable with v1 Beta Distribution: refer to that distribution for accuracy data.

    - + Tests

    @@ -164,7 +164,7 @@ random variable with v1 Math library statistical package and its pbeta and dbeta functions.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html index 20d65b274..928652344 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html @@ -85,7 +85,7 @@

    - + Member Functions
    @@ -111,7 +111,7 @@ which this object was constructed.

    - + Non-member Accessors
    @@ -131,7 +131,7 @@ The domain of the random variable is [-∞, +∞].

    - + Accuracy

    @@ -141,7 +141,7 @@ one shown will have effectively zero error.

    -

    Table 15. Errors In CDF of the Noncentral T Distribution

    +

    Table 15. Errors In CDF of the Noncentral T Distribution

    @@ -255,7 +255,7 @@ epsilon.

    - + Tests

    @@ -270,7 +270,7 @@ least 50 decimal places.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html index bbaea2483..236184181 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html @@ -123,7 +123,7 @@

    - + Related Distributions
    @@ -200,12 +200,12 @@

    - + Member Functions
    - + Construct
    negative_binomial_distribution(RealType r, RealType p);
    @@ -221,7 +221,7 @@
                 <= 1.
               

    - + Accessors
    RealType success_fraction() const; // successes / trials (0 <= p <= 1)
    @@ -237,7 +237,7 @@
                 was constructed.
               

    - + Lower Bound on Parameter p
    @@ -298,7 +298,7 @@ vol. 48, no3, 605-621.

    - + Upper Bound on Parameter p
    @@ -358,7 +358,7 @@ vol. 48, no3, 605-621.

    - + Estimating Number of Trials to Ensure at Least a Certain Number of Failures
    @@ -409,7 +409,7 @@ probability of observing k failures or fewer.

    - + Estimating Number of Trials to Ensure a Maximum Number of Failures or Less
    @@ -457,7 +457,7 @@ probability of observing more than k failures.

    - + Non-member Accessors
    @@ -478,7 +478,7 @@ in the context of this distribution:

    -

    Table 12. Meaning of the non-member accessors.

    +

    Table 12. Meaning of the non-member accessors.

    @@ -603,7 +603,7 @@

- + Accuracy

@@ -613,7 +613,7 @@ please refer to these functions for information on accuracy.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html index 894e1d5a8..3b0bdb5c2 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html @@ -79,7 +79,7 @@

- + Member Functions
@@ -109,7 +109,7 @@ be used generically).

- + Non-member Accessors
@@ -131,7 +131,7 @@ and complement cdf -∞ = 1 and +∞ = 0, if RealType permits.

- + Accuracy

@@ -139,7 +139,7 @@ function, and as such should have very low error rates.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html index edb9e825c..1d92ab560 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html @@ -87,12 +87,12 @@

- + Related distributions
- + Member Functions
@@ -118,7 +118,7 @@ Returns the shape parameter of this distribution.

- + Non-member Accessors
@@ -138,7 +138,7 @@ The supported domain of the random variable is [scale, ∞].

- + Accuracy

@@ -151,7 +151,7 @@ zero) see also why complements?.

- + Implementation

@@ -319,7 +319,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html index 5ba89d93f..720594844 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html @@ -122,7 +122,7 @@

    - + Member Functions
    @@ -137,7 +137,7 @@ Returns the mean of this distribution.

    - + Non-member Accessors
    @@ -157,7 +157,7 @@ The domain of the random variable is [0, ∞].

    - + Accuracy

    @@ -171,7 +171,7 @@ using an iterative method with a lower tolerance to avoid excessive computation.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html index 070f35c18..f4768dbdd 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html @@ -86,7 +86,7 @@

    - + Related distributions
    @@ -102,7 +102,7 @@ distribution.

    - + Member Functions
    @@ -121,7 +121,7 @@ Returns the sigma parameter of this distribution.

    - + Non-member Accessors
    @@ -141,7 +141,7 @@ The domain of the random variable is [0, max_value].

    - + Accuracy

    @@ -151,7 +151,7 @@ using NTL RR type with 150-bit accuracy, about 50 decimal digits.

    - + Implementation

    @@ -320,7 +320,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html index b0173dcd1..d8ba7cd1f 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html @@ -97,7 +97,7 @@

    - + Member Functions
    @@ -174,7 +174,7 @@ Engineering Statistics Handbook.

    - + Non-member Accessors
    @@ -194,7 +194,7 @@ The domain of the random variable is [-∞, +∞].

    - + Examples

    @@ -202,7 +202,7 @@ are available illustrating the use of the Student's t distribution.

    - + Accuracy

    @@ -211,7 +211,7 @@ inverses, refer to accuracy data on those functions for more information.

    - + Implementation

    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html index 27aeb6b99..1ce8bc7d1 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html @@ -128,7 +128,7 @@

    - + Member Functions
    @@ -163,7 +163,7 @@ (default+1).

    - + Non-member Accessors
    @@ -184,7 +184,7 @@ range is lower <= x <= upper.

    - + Accuracy

    @@ -193,7 +193,7 @@ with arguments nearing the extremes of zero and unity.

    - + Implementation

    @@ -378,7 +378,7 @@ Calculate and plot probability distributions

    - + References
      diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html index 7d5938377..93caf5eca 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html @@ -117,7 +117,7 @@

      - + Member Functions
      @@ -144,7 +144,7 @@ Returns the upper parameter of this distribution.

      - + Non-member Accessors
      @@ -165,7 +165,7 @@ range is only lower <= x <= upper.

      - + Accuracy

      @@ -173,7 +173,7 @@ and so should have errors within an epsilon or two.

      - + Implementation

      @@ -337,7 +337,7 @@

    - + References
      diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html index 5eb71df26..0356b20fb 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html @@ -100,7 +100,7 @@

      - + Related distributions
      @@ -114,7 +114,7 @@ Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah.

      - + Member Functions
      @@ -140,7 +140,7 @@ Returns the scale parameter of this distribution.

      - + Non-member Accessors
      @@ -160,7 +160,7 @@ The domain of the random variable is [0, ∞].

      - + Accuracy

      @@ -170,7 +170,7 @@ as such should have very low error rates.

      - + Implementation

      @@ -337,7 +337,7 @@

    - + References
      diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html index 9f133eb35..595f352c4 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html @@ -37,7 +37,7 @@ the function you want if you already know its name.

      - + Function Index
      @@ -93,7 +93,7 @@
    - + Conceptual Index
    @@ -174,7 +174,7 @@
- + Cumulative Distribution Function
@@ -198,7 +198,7 @@ cdf

- + Complement of the Cumulative Distribution Function
@@ -239,7 +239,7 @@ complement is useful and when it should be used.

- + Hazard Function
template <class RealType, class Policy>
@@ -267,7 +267,7 @@
           

- + Cumulative Hazard Function
@@ -295,7 +295,7 @@

- + mean
template<class RealType, class Policy>
@@ -310,7 +310,7 @@
           distribution).
         

- + median
template<class RealType, class Policy>
@@ -320,7 +320,7 @@
           Returns the median of the distribution dist.
         

- + mode
template<class RealType, Policy>
@@ -334,7 +334,7 @@
           if the distribution does not have a defined mode.
         

- + Probability Density Function
@@ -363,7 +363,7 @@ pdf

- + range
template<class RealType, class Policy>
@@ -373,7 +373,7 @@
           Returns the valid range of the random variable over distribution dist.
         

- + Quantile
template <class RealType, class Policy>
@@ -402,7 +402,7 @@
           quantile
         

- + Quantile from the complement of the probability.
@@ -448,7 +448,7 @@ survival_inv

- + Standard Deviation
@@ -463,7 +463,7 @@ if the distribution does not have a defined standard deviation.

- + support
template<class RealType, class Policy>
@@ -480,7 +480,7 @@
           where the pdf is zero, and the cdf zero or unity.
         

- + Variance
template <class RealType, class Policy>
@@ -494,7 +494,7 @@
           if the distribution does not have a defined variance.
         

- + Skewness
template <class RealType, class Policy>
@@ -508,7 +508,7 @@
           if the distribution does not have a defined skewness.
         

- + Kurtosis
template <class RealType, class Policy>
@@ -550,7 +550,7 @@
           'Proper' kurtosis can have a value from zero to + infinity.
         

- + Kurtosis excess
@@ -585,7 +585,7 @@ The kurtosis excess of a normal distribution is zero.

- + P and Q

@@ -595,7 +595,7 @@ returned by these functions.

- + Percent Point Function
@@ -604,7 +604,7 @@ the Quantile.

- + Inverse CDF Function.
@@ -613,7 +613,7 @@ Quantile.

- + Inverse Survival Function.
@@ -621,7 +621,7 @@ The inverse of the survival function, is the same as computing the quantile from the complement of the probability.

- + Probability Mass Function
@@ -635,7 +635,7 @@ applies to continuous distributions.

- + Lower Critical Value.
@@ -645,7 +645,7 @@ the Quantile.

- + Upper Critical Value.
@@ -656,7 +656,7 @@ complement of the probability.

- + Survival Function
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/future.html b/doc/sf_and_dist/html/math_toolkit/dist/future.html index 4add68b4a..8c3ac12e7 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/future.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/future.html @@ -27,7 +27,7 @@ Extras/Future Directions
- + Adding Additional Location and Scale Parameters
@@ -55,7 +55,7 @@ functions.

- + An "any_distribution" class
@@ -84,7 +84,7 @@ use case: this needs more investigation.

- + Higher Level Hypothesis Tests
@@ -104,7 +104,7 @@ expected_mean.

- + Integration With Statistical Accumulators
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html index 43d1240e1..8b1e45d24 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -497,7 +497,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252

- + Using Binomial distribution moments
@@ -534,7 +534,7 @@ Skewness is 0.2887

- + Quantiles

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html index 5050a5f47..98cd5b7e5 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -139,7 +139,7 @@ _____________________________________________ is between 0.00551 and 0.00729.

- + Confidence intervals as a function of the number of observations
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html index 84581ef29..34ea68232 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html @@ -332,7 +332,7 @@ error C3861: 'mybetad0': identifier not found

- + Default arguments to distribution constructors.
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html index f2a4d59ce..5d0fe75e2 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html @@ -177,7 +177,7 @@ Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999

- + Controlling Error Handling from find_location
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index 2d75d3c5d..4b1e2b701 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -62,7 +62,7 @@

- + Using find_location and find_scale to meet dispensing and measurement specifications
@@ -246,7 +246,7 @@

- + Using Cauchy-Lorentz instead of normal distribution
@@ -397,7 +397,7 @@

- + Changing the scale or standard deviation
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html index 761bd8fc3..47c8ce54f 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html @@ -179,7 +179,7 @@ Normal distribution with mean = 0 has fraction > -2, p = 0.999

- + Controlling how Errors from find_scale are handled
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html index 656cf4105..b9a6bfb81 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html @@ -32,7 +32,7 @@ illustrates their use.

- + Traditional Tables
@@ -278,7 +278,7 @@

- + Standard deviations either side of the Mean
@@ -346,12 +346,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + Some simple examples
- + Life of light bulbs
@@ -435,7 +435,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + How many onions?
@@ -494,7 +494,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + Packing beef
@@ -703,7 +703,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + Length of bolts
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html b/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html index 9730af29f..16775e840 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html @@ -27,7 +27,7 @@ C99 C Functions
- + Supported C99 Functions
@@ -138,7 +138,7 @@ acosh(2); // integer argument is treated as a double, returns double.
- + Quick Reference

diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html index 19e2c8051..e3d8326cf 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html @@ -285,7 +285,7 @@

- + Usage Recomendations

@@ -336,7 +336,7 @@

- + Supported C99 Functions
@@ -440,7 +440,7 @@

- + Supported TR1 Functions
@@ -579,7 +579,7 @@

- + Currently Unsupported C99 Functions
@@ -650,7 +650,7 @@

- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html index 9385ef853..e1f25b34c 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html @@ -28,7 +28,7 @@ Reference
- + Supported TR1 Functions
@@ -163,7 +163,7 @@ expint(2); // integer argument is treated as a double, returns double.
- + Quick Reference
// [5.2.1.1] associated Laguerre polynomials:
@@ -494,7 +494,7 @@
         for the full template (header only) version of this function.
       

- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/building.html b/doc/sf_and_dist/html/math_toolkit/main_overview/building.html index 09a814f85..2acc3dc74 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/building.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/building.html @@ -28,7 +28,7 @@ the Library and its Examples and Tests
- + Building the Library
@@ -93,7 +93,7 @@ building the sources. Boost.Build will do this automatically when appropriate.

- + Building the Examples
@@ -104,7 +104,7 @@ the Boost headers are in your compilers #include search path.

- + Building the Tests
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html index b23656b29..442ea7ace 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html @@ -37,7 +37,7 @@

-

Table 9. Supported/Tested Compilers

+

Table 9. Supported/Tested Compilers

@@ -540,7 +540,7 @@


-

Table 10. Unsupported Compilers

+

Table 10. Unsupported Compilers

diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html index 59425b920..96143f08e 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html @@ -28,7 +28,7 @@ File Structure
- + boost/math
@@ -73,7 +73,7 @@
- + boost/libs
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html b/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html index 352242091..8a99e9e98 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html @@ -27,7 +27,7 @@ Error Handling
- + Quick Reference
@@ -132,7 +132,7 @@ the default action for each error shown in bold:

-

Table 1. Possible Actions for Domain Errors

+

Table 1. Possible Actions for Domain Errors

@@ -207,7 +207,7 @@

-

Table 2. Possible Actions for Pole Errors

+

Table 2. Possible Actions for Pole Errors

@@ -282,7 +282,7 @@

-

Table 3. Possible Actions for Overflow Errors

+

Table 3. Possible Actions for Overflow Errors

@@ -357,7 +357,7 @@

-

Table 4. Possible Actions for Underflow Errors

+

Table 4. Possible Actions for Underflow Errors

@@ -432,7 +432,7 @@

-

Table 5. Possible Actions for Denorm Errors

+

Table 5. Possible Actions for Denorm Errors

@@ -507,7 +507,7 @@

-

Table 6. Possible Actions for Rounding Errors

+

Table 6. Possible Actions for Rounding Errors

@@ -582,7 +582,7 @@

-

Table 7. Possible Actions for Internal Evaluation +

Table 7. Possible Actions for Internal Evaluation Errors

@@ -659,7 +659,7 @@

-

Table 8. Possible Actions for Indeterminate Result +

Table 8. Possible Actions for Indeterminate Result Errors

@@ -737,7 +737,7 @@

- + Rationale

@@ -756,7 +756,7 @@

- + Finding More Information
@@ -778,7 +778,7 @@ The various kind of errors are described in more detail below.

- + Domain Errors
@@ -871,7 +871,7 @@ for more details.

- + Evaluation at a pole
@@ -910,7 +910,7 @@ for more details.

- + Numeric Overflow
@@ -935,7 +935,7 @@ doesn't support infinities, the maximum value for the type is returned.

- + Numeric Underflow
@@ -958,7 +958,7 @@ an std::underflow_error C++ exception.

- + Denormalisation Errors
@@ -981,7 +981,7 @@ throws an std::underflow_error C++ exception.

- + Evaluation Errors
@@ -1018,7 +1018,7 @@ for more details.

- + Indeterminate Result Errors
@@ -1045,7 +1045,7 @@ the result of 00 is 1, even though the result is actually mathematically indeterminate.

- + Rounding Errors
@@ -1085,7 +1085,7 @@ for more details.

- + Errors from typecasts
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html b/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html index aeb6b28a1..d7fa66390 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html @@ -31,7 +31,7 @@

- + Boost-1.40.0

@@ -73,7 +73,7 @@

- + Boost-1.38.0

@@ -90,7 +90,7 @@

- + Boost-1.37.0

@@ -102,7 +102,7 @@

- + Boost-1.36.0

@@ -140,7 +140,7 @@

- + Boost-1.35.0: Post Review First Official Release
@@ -177,7 +177,7 @@

- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -196,7 +196,7 @@

- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -229,7 +229,7 @@

- + Milestone 2: Released September 10th 2006
@@ -270,7 +270,7 @@

- + Milestone 1: Released March 31st 2006
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html b/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html index 69a3c7528..3ae45c476 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html @@ -30,7 +30,7 @@ This library is divided into three interconnected parts:

- + Statistical Distributions
@@ -56,7 +56,7 @@ tests.

- + Mathematical Special Functions
@@ -83,7 +83,7 @@ double.

- + Implementation Toolkit
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html b/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html index d1841146c..6f9428a95 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html @@ -31,7 +31,7 @@ as handy shortcuts for common navigation tasks.

- + Shortcuts
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html b/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html index d813769ad..0a15cac5f 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html @@ -286,7 +286,7 @@

- + Usage Recomendations
@@ -338,7 +338,7 @@

- + Supported C99 Functions
@@ -442,7 +442,7 @@

- + Supported TR1 Functions
@@ -581,7 +581,7 @@

- + Currently Unsupported C99 Functions
@@ -652,7 +652,7 @@

- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html index 317ebc2ac..ffb51e580 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html @@ -35,7 +35,7 @@ in this respect).

-

Table 48. Performance Comparison of Various Windows Compilers

+

Table 48. Performance Comparison of Various Windows Compilers

diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html index 56ccae198..7d772f1be 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html @@ -46,7 +46,7 @@

- + Comparison to GSL-1.9 and Cephes
@@ -213,7 +213,7 @@

+INF - [1] + [1]

@@ -284,13 +284,13 @@ -

[1] +

[1] Cephes gets stuck in an infinite loop while trying to execute our test cases.

- + Comparison to the R Statistical Library on Windows
@@ -301,7 +301,7 @@ (R-2.8.1 appears not to be buildable with Visual C++).

-

Table 51. A Comparison to the R Statistical Library on Windows +

Table 51. A Comparison to the R Statistical Library on Windows XP

@@ -374,7 +374,7 @@

58.77 - [1] + [1]

(3.347e-004s)

@@ -705,7 +705,7 @@

1.55 - [2] + [2]

(2.583e-007s)

@@ -898,7 +898,7 @@

16.03 - [3] + [3]

(3.704e-004s)

@@ -952,7 +952,7 @@

75.71 - [4] + [4]

(2.671e-002s)

@@ -1058,7 +1058,7 @@

1.00 - [5] + [5]

(4.432e-004s)

@@ -1276,28 +1276,28 @@
-

[1] +

[1] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.

-

[2] +

[2] This result is somewhat misleading: for small values of the parameters there is virtually no difference between the two libraries, but for large values the Boost implementation is much slower, albeit with much improved precision.

-

[3] +

[3] The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in "typical" cases

-

[4] +

[4] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.

-

[5] +

[5] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result. @@ -1306,7 +1306,7 @@


- + Comparison to the R Statistical Library on Linux
@@ -1316,7 +1316,7 @@ GNU G++ 4.3.2 using -O3.

-

Table 52. A Comparison to the R Statistical Library on Linux

+

Table 52. A Comparison to the R Statistical Library on Linux

@@ -1387,7 +1387,7 @@

31.61 - [1] + [1]

(3.455e-004s)

@@ -1718,7 +1718,7 @@

2.25 - [2] + [2]

(3.308e-007s)

@@ -1911,7 +1911,7 @@

22.46 - [3] + [3]

(4.029e-004s)

@@ -1965,7 +1965,7 @@

15.65 - [4] + [4]

(3.179e-002s)

@@ -2071,7 +2071,7 @@

1.00 - [5] + [5]

(5.176e-004s)

@@ -2289,28 +2289,28 @@
-

[1] +

[1] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.

-

[2] +

[2] This result is somewhat misleading: for small values of the parameters there is virtually no difference between the two libraries, but for large values the Boost implementation is much slower, albeit with much improved precision.

-

[3] +

[3] The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in "typical" cases

-

[4] +

[4] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.

-

[5] +

[5] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result. diff --git a/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html b/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html index 347aa4de8..ab6aaaf6e 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html @@ -33,7 +33,7 @@ penalty for using the library in debug mode can be quite large.

-

Table 47. Performance Comparison of Release and Debug Settings

+

Table 47. Performance Comparison of Release and Debug Settings

diff --git a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html index f82cd993e..58f962761 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html @@ -234,7 +234,7 @@ highly vectorisable processors in the future.

-

Table 49. A Comparison of Polynomial Evaluation Methods

+

Table 49. A Comparison of Polynomial Evaluation Methods

@@ -634,7 +634,7 @@ tutorial.

-

Table 50. Performance Comparison with and Without Internal +

Table 50. Performance Comparison with and Without Internal Promotion to long double

diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html index 9f58b5cf2..ab840bf88 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html @@ -55,7 +55,7 @@ can take have the following meanings:

- + real

@@ -93,7 +93,7 @@ = 68.1584.

- + integer_round_outwards

@@ -151,7 +151,7 @@ in each tail.

- + integer_round_inwards

@@ -214,7 +214,7 @@ in each tail.

- + integer_round_down

@@ -222,7 +222,7 @@ or a lower quantile.

- + integer_round_up

@@ -230,7 +230,7 @@ a lower quantile.

- + integer_round_nearest

diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html index 36ce1132d..f93f5031b 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html @@ -39,7 +39,7 @@

- + Available Actions When an Error is Raised
@@ -62,7 +62,7 @@ The various enumerated values have the following meanings:

- + throw_on_error

@@ -174,7 +174,7 @@

- + errno_on_error

@@ -287,7 +287,7 @@

- + ignore_error

@@ -400,7 +400,7 @@

- + user_error

@@ -449,7 +449,7 @@ here.

- + Kinds of Error Raised
@@ -688,7 +688,7 @@
- + Examples

diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html index 8dc080952..e47829829 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html @@ -84,7 +84,7 @@

- + Examples

diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html index a250e2a6e..e97ac63d8 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html @@ -61,7 +61,7 @@ then you can do so by defining various macros in boost/math/tools/user.hpp.

- + BOOST_MATH_DOMAIN_ERROR_POLICY

@@ -71,7 +71,7 @@ ignore_error or user_error.

- + BOOST_MATH_POLE_ERROR_POLICY

@@ -81,7 +81,7 @@ ignore_error or user_error.

- + BOOST_MATH_OVERFLOW_ERROR_POLICY

@@ -91,7 +91,7 @@ ignore_error or user_error.

- + BOOST_MATH_ROUNDING_ERROR_POLICY

@@ -101,7 +101,7 @@ ignore_error or user_error.

- + BOOST_MATH_EVALUATION_ERROR_POLICY

@@ -111,7 +111,7 @@ ignore_error or user_error.

- + BOOST_MATH_UNDERFLOW_ERROR_POLICY

@@ -121,7 +121,7 @@ ignore_error or user_error.

- + BOOST_MATH_DENORM_ERROR_POLICY

@@ -131,7 +131,7 @@ ignore_error or user_error.

- + BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY

@@ -142,7 +142,7 @@ ignore_error or user_error.

- + BOOST_MATH_DIGITS10_POLICY

@@ -153,7 +153,7 @@ recommended that you change this from the default.

- + BOOST_MATH_PROMOTE_FLOAT_POLICY

@@ -165,7 +165,7 @@ off.

- + BOOST_MATH_PROMOTE_DOUBLE_POLICY

@@ -177,7 +177,7 @@ off.

- + BOOST_MATH_DISCRETE_QUANTILE_POLICY

@@ -188,7 +188,7 @@ Defaults to integer_round_outwards.

- + BOOST_MATH_ASSERT_UNDEFINED_POLICY

@@ -201,7 +201,7 @@ whether or not a particular property is well defined.

- + BOOST_MATH_MAX_SERIES_ITERATION_POLICY

@@ -210,7 +210,7 @@ Defaults to 1000000.

- + BOOST_MATH_MAX_ROOT_ITERATION_POLICY

@@ -219,7 +219,7 @@ Defaults to 200.

- + Example

diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html index 591179444..7fa115b9f 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html @@ -177,7 +177,7 @@ base your comparisons on CDF's instead.

- + Other Rounding Policies are Available
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html index dd4ad5258..87853772b 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html @@ -28,7 +28,7 @@ of the First and Second Kinds
- + Synopsis
template <class T1, class T2>
@@ -44,7 +44,7 @@
 calculated-result-type cyl_neumann(T1 v, T2 x, const Policy&);
 
- + Description

@@ -110,7 +110,7 @@

- + Testing

@@ -119,7 +119,7 @@ (with all the special case handling removed).

- + Accuracy

@@ -135,7 +135,7 @@ zero error. All values are relative errors in units of epsilon.

-

Table 36. Errors Rates in cyl_bessel_j

+

Table 36. Errors Rates in cyl_bessel_j

@@ -304,7 +304,7 @@

-

Table 37. Errors Rates in cyl_neumann

+

Table 37. Errors Rates in cyl_neumann

@@ -494,7 +494,7 @@ were found.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html index 6622030c7..30522ee24 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html @@ -28,7 +28,7 @@ Overview

- + Ordinary Bessel Functions
@@ -103,7 +103,7 @@ and is known as either a Bessel

- + Modified Bessel Functions
@@ -167,7 +167,7 @@ respectively:

- + Spherical Bessel Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html index f54071b55..8feaeb7f2 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html @@ -28,7 +28,7 @@ Functions of the First and Second Kinds
- + Synopsis
template <class T1, class T2>
@@ -44,7 +44,7 @@
 calculated-result-type cyl_bessel_k(T1 v, T2 x, const Policy&);
 
- + Description

@@ -109,7 +109,7 @@

- + Testing

@@ -118,7 +118,7 @@ (with all the special case handling removed).

- + Accuracy

@@ -129,7 +129,7 @@ zero error. All values are relative errors in units of epsilon.

-

Table 38. Errors Rates in cyl_bessel_i

+

Table 38. Errors Rates in cyl_bessel_i

@@ -226,7 +226,7 @@

-

Table 39. Errors Rates in cyl_bessel_k

+

Table 39. Errors Rates in cyl_bessel_k

@@ -326,7 +326,7 @@

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html index bbd010a4e..36d15d07c 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html @@ -28,7 +28,7 @@ Bessel Functions of the First and Second Kinds

- + Synopsis
template <class T1, class T2>
@@ -44,7 +44,7 @@
 calculated-result-type sph_neumann(unsigned v, T2 x, const Policy&);
 
- + Description

@@ -97,7 +97,7 @@ for small x:

- + Testing

@@ -106,7 +106,7 @@ for small x: implementation (with all the special case handling removed).

- + Accuracy

@@ -116,7 +116,7 @@ for small x: refer to these functions for accuracy data.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html index cf68e3224..71e1f81ad 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html @@ -28,7 +28,7 @@ of the First Kind - Legendre Form

- + Synopsis

@@ -55,7 +55,7 @@ }} // namespaces

- + Description

@@ -123,7 +123,7 @@

- + Accuracy

@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.

-

Table 41. Errors Rates in the Elliptic Integrals of the +

Table 41. Errors Rates in the Elliptic Integrals of the First Kind

@@ -237,7 +237,7 @@

- + Testing

@@ -247,7 +247,7 @@ this implementation.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html index cbab8e3dd..bfccb7685 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html @@ -28,7 +28,7 @@ of the Second Kind - Legendre Form

- + Synopsis

@@ -55,7 +55,7 @@ }} // namespaces

- + Description

@@ -123,7 +123,7 @@

- + Accuracy

@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.

-

Table 42. Errors Rates in the Elliptic Integrals of the +

Table 42. Errors Rates in the Elliptic Integrals of the Second Kind

@@ -237,7 +237,7 @@

- + Testing

@@ -247,7 +247,7 @@ this implementation.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html index 031c267c5..e5f340428 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html @@ -28,7 +28,7 @@ of the Third Kind - Legendre Form

- + Synopsis

@@ -55,7 +55,7 @@ }} // namespaces

- + Description

@@ -129,7 +129,7 @@

- + Accuracy

@@ -140,7 +140,7 @@ All values are relative errors in units of epsilon.

-

Table 43. Errors Rates in the Elliptic Integrals of the +

Table 43. Errors Rates in the Elliptic Integrals of the Third Kind

@@ -243,7 +243,7 @@

- + Testing

@@ -253,7 +253,7 @@ this implementation.

- + Implementation

@@ -291,7 +291,7 @@

Π(n, φ+mπ, k) = Π(n, φ, k) ; n > 1 - [1] + [1]

are used to move φ to the range [0, π/2]. @@ -311,7 +311,7 @@



-

[1] +

[1] I haven't been able to find a literature reference for this relation, but it appears to be the convention used by Mathematica. Intuitively the first 2 * m * Π(n, k) terms cancel out as the diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html index 457782c23..a12b55383 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html @@ -28,7 +28,7 @@ Integrals - Carlson Form

- + Synopsis

@@ -100,7 +100,7 @@ }} // namespaces

- + Description

@@ -236,7 +236,7 @@

- + Testing

@@ -265,7 +265,7 @@ to verify their correctness: see the above Carlson paper for details.

- + Accuracy

@@ -276,7 +276,7 @@ All values are relative errors in units of epsilon.

-

Table 40. Errors Rates in the Carlson Elliptic Integrals

+

Table 40. Errors Rates in the Carlson Elliptic Integrals

@@ -419,7 +419,7 @@

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html index db615911b..7f7b6c8da 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html @@ -61,14 +61,14 @@ Elliptic integral.

- + Notation

All variables are real numbers unless otherwise noted.

- + Definition

@@ -257,7 +257,7 @@

- + Duplication Theorem
@@ -269,7 +269,7 @@

- + Carlson's Formulas
@@ -287,7 +287,7 @@

- + Numerical Algorithms
@@ -301,7 +301,7 @@ integrals with satisfactory precisions.

- + References

diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html index 6cf049841..2fea71827 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html @@ -28,7 +28,7 @@ Integral Ei

- + Synopsis

@@ -63,7 +63,7 @@

- + Description
template <class T>
@@ -83,7 +83,7 @@
           
         

- + Accuracy

@@ -95,7 +95,7 @@ error.

-

Table 46. Errors In the Function expint(z)

+

Table 46. Errors In the Function expint(z)

@@ -207,7 +207,7 @@ slightly over the range [4,6].

- + Testing

@@ -222,7 +222,7 @@ check.

- + Implementation

@@ -253,7 +253,7 @@ [-1,1]. Note that while the rational approximation over [0,6] converges rapidly to the minimax solution it is rather ill-conditioned in practice. Cody and Thacher - [2] + [2] experienced the same issue and converted the polynomials into Chebeshev form to ensure stable computation. By experiment we found that the polynomials are just as stable in polynomial as Chebyshev form, provided @@ -284,7 +284,7 @@



-

[2] +

[2] W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations for the exponential integral E1(x), Math. Comp. 22 (1968), 641-649, and W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html index a6305c5d7..32077bf69 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html @@ -28,7 +28,7 @@ Integral En

- + Synopsis

@@ -63,7 +63,7 @@

- + Description
template <class T>
@@ -83,7 +83,7 @@
           
         

- + Accuracy

@@ -94,7 +94,7 @@ the one shown will have effectively zero error.

-

Table 45. Errors In the Function expint(n, z)

+

Table 45. Errors In the Function expint(n, z)

@@ -225,7 +225,7 @@

- + Testing

@@ -240,7 +240,7 @@ check.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html index bc4e333f5..b3978d095 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html @@ -65,7 +65,7 @@ if the result is too large to represent in type T.

- + Accuracy

@@ -74,14 +74,14 @@ function for larger arguments.

- + Testing

The spot tests for the binomial coefficients use data generated by functions.wolfram.com.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html index 900e491fe..e9b5a00d7 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html @@ -64,7 +64,7 @@ of i! is possible.

- + Accuracy

@@ -72,14 +72,14 @@ so error rates should be no more than a couple of epsilon higher.

- + Testing

The spot tests for the double factorial use data generated by functions.wolfram.com.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html index 7b33c18b3..c8bb12226 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html @@ -27,7 +27,7 @@ Factorial

- + Synopsis

@@ -54,7 +54,7 @@ }} // namespaces

- + Description
template <class T>
@@ -112,7 +112,7 @@
           the size of further tables that depend on the factorials.
         

- + Accuracy

@@ -121,7 +121,7 @@ will be the same as for tgamma.

- + Testing

@@ -130,7 +130,7 @@ function handle those cases already.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html index 2f56d975b..817cadc97 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html @@ -76,7 +76,7 @@ the type of the result is T.

- + Accuracy

@@ -84,14 +84,14 @@ function.

- + Testing

The spot tests for the falling factorials use data generated by functions.wolfram.com.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html index 51c475df8..0e483412d 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html @@ -80,7 +80,7 @@ the type of the result is T.

- + Accuracy

@@ -88,14 +88,14 @@ function.

- + Testing

The spot tests for the rising factorials use data generated by functions.wolfram.com.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html index 1ff752499..447ec719a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html @@ -67,14 +67,14 @@

- + Accuracy

Generally accuracy is to within 1 or 2 epsilon across all supported platforms.

- + Testing

@@ -90,7 +90,7 @@ to at least 50 decimal digits.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html index 8a2966918..12afba680 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html @@ -62,14 +62,14 @@

- + Accuracy

Generally accuracy is to within 1 or 2 epsilon across all supported platforms.

- + Testing

@@ -85,7 +85,7 @@ to at least 50 decimal digits.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html index faf56f95c..e25acad0e 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html @@ -76,14 +76,14 @@ denoting

- + Accuracy

Generally accuracy is to within 1 or 2 epsilon across all supported platforms.

- + Testing

@@ -99,7 +99,7 @@ denoting to at least 50 decimal digits.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html index 5def3a00e..5ea45631c 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html @@ -71,7 +71,7 @@

- + Accuracy

@@ -79,7 +79,7 @@ should have approximately 2 epsilon accuracy.

- + Testing

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html b/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html index 2601cca3c..5f415e817 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html @@ -32,7 +32,7 @@ computes the compile-time integral power of a run-time base.

- + Synopsis

@@ -49,7 +49,7 @@ }}

- + Rationale and Usage
@@ -91,7 +91,7 @@ Only 3 different products were actually computed.

- + Return Type

@@ -112,7 +112,7 @@

- + Policies

@@ -126,7 +126,7 @@

- + Error Handling
@@ -231,7 +231,7 @@ double result = pow<-5>(base);
- + Acknowledgements

@@ -242,7 +242,7 @@ improving the implementation.

- + References

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html index 328186bde..4ac35c660 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html @@ -80,7 +80,7 @@

- + Accuracy

@@ -88,7 +88,7 @@ should have approximately 1 epsilon accuracy.

- + Testing

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html index 59c6a7494..b922d73bd 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html @@ -58,7 +58,7 @@ in such a representable.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html index 298e1f0be..1ef376c70 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html @@ -93,7 +93,7 @@

- + Accuracy

@@ -101,7 +101,7 @@ should have approximately 1 epsilon accuracy.

- + Testing

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html index 2b39cbe5a..5c7eca575 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html @@ -74,14 +74,14 @@

- + Accuracy

Should have approximately 2-3 epsilon accuracy.

- + Testing

diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html index 46520a3c7..192abe710 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html @@ -76,7 +76,7 @@

- + Accuracy

@@ -84,7 +84,7 @@ should have approximately 3 epsilon accuracy.

- + Testing

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html index 0558a85fc..edeb135d7 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html @@ -28,7 +28,7 @@ of the Incomplete Beta Function

- + Synopsis

@@ -49,7 +49,7 @@ }} // namespaces

- + Description

@@ -76,14 +76,14 @@

- + Accuracy

Almost identical to the incomplete beta function ibeta.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html index e4d8909e2..dad1c4436 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html @@ -27,7 +27,7 @@ Beta

- + Synopsis

@@ -48,7 +48,7 @@ }} // namespaces

- + Description

@@ -86,7 +86,7 @@ type calculation rules when T1 and T2 are different types.

- + Accuracy

@@ -98,7 +98,7 @@ zero error.

-

Table 22. Peak Errors In the Beta Function

+

Table 22. Peak Errors In the Beta Function

@@ -244,7 +244,7 @@ very small.

- + Testing

@@ -253,7 +253,7 @@ at 1000-bit precision.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html index b770f36a1..11f9356b4 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html @@ -28,7 +28,7 @@ Beta Functions

- + Synopsis

@@ -67,7 +67,7 @@ }} // namespaces

- + Description

@@ -153,7 +153,7 @@

- + Accuracy

@@ -172,7 +172,7 @@ with the wider exponent range of the long double types.

-

Table 23. Errors In the Function ibeta(a,b,x)

+

Table 23. Errors In the Function ibeta(a,b,x)

@@ -359,7 +359,7 @@

-

Table 24. Errors In the Function ibetac(a,b,x)

+

Table 24. Errors In the Function ibetac(a,b,x)

@@ -526,7 +526,7 @@

-

Table 25. Errors In the Function beta(a, b, x)

+

Table 25. Errors In the Function beta(a, b, x)

@@ -693,7 +693,7 @@

-

Table 26. Errors In the Function betac(a,b,x)

+

Table 26. Errors In the Function betac(a,b,x)

@@ -860,7 +860,7 @@

- + Testing

@@ -878,7 +878,7 @@ have test data that is fully independent of the code.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html index 7b748d9cd..0857d246a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html @@ -87,7 +87,7 @@ }} // namespaces

- + Description

@@ -323,7 +323,7 @@

- + Accuracy

@@ -335,7 +335,7 @@ or 1.

- + Testing

@@ -359,7 +359,7 @@

- + Implementation of ibeta_inv and ibetac_inv
@@ -527,7 +527,7 @@ rapidly converges on the true value.

- + Implementation of inverses on the a and b parameters
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html index be06a03b4..bb43fcd2a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html @@ -28,7 +28,7 @@ Functions
- + Synopsis

@@ -69,7 +69,7 @@

- + Description
template <class T>
@@ -106,7 +106,7 @@
           
         

- + Accuracy

@@ -119,7 +119,7 @@ the one shown will have effectively zero error.

-

Table 27. Errors In the Function erf(z)

+

Table 27. Errors In the Function erf(z)

@@ -325,7 +325,7 @@

-

Table 28. Errors In the Function erfc(z)

+

Table 28. Errors In the Function erfc(z)

@@ -531,7 +531,7 @@

- + Testing

@@ -546,7 +546,7 @@ check.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html index 8d60e8ef4..f1b1d2e0a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html @@ -28,7 +28,7 @@ Inverses

- + Synopsis

@@ -69,7 +69,7 @@

- + Description
template <class T>
@@ -103,7 +103,7 @@
           
         

- + Accuracy

@@ -113,7 +113,7 @@ error functions.

- + Testing

@@ -135,7 +135,7 @@

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html index 3c4b3c6fc..d7b9ac491 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html @@ -27,7 +27,7 @@ Digamma

- + Synopsis

@@ -48,7 +48,7 @@ }} // namespaces

- + Description

@@ -82,7 +82,7 @@ T otherwise.

- + Accuracy

@@ -270,7 +270,7 @@ absolute error will remain very low.

- + Testing

@@ -280,7 +280,7 @@ see below).

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html index a7ba1302a..f2e43ecdb 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html @@ -28,7 +28,7 @@ of the Incomplete Gamma Function

- + Synopsis

@@ -49,7 +49,7 @@ }} // namespaces

- + Description

@@ -80,7 +80,7 @@ otherwise the return type is simply T1.

- + Accuracy

@@ -88,7 +88,7 @@ refer to the documentation for that function for more information.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html index f3beab88e..f97fa8813 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html @@ -51,7 +51,7 @@ }} // namespaces

- + Description
template <class T1, class T2> 
@@ -117,7 +117,7 @@
           
         

- + Accuracy

@@ -127,7 +127,7 @@ effectively zero error.

-

Table 16. Errors In the Function tgamma_delta_ratio(a, delta)

+

Table 16. Errors In the Function tgamma_delta_ratio(a, delta)

@@ -230,7 +230,7 @@

-

Table 17. Errors In the Function tgamma_ratio(a, +

Table 17. Errors In the Function tgamma_ratio(a, b)

@@ -329,7 +329,7 @@

- + Testing

@@ -338,7 +338,7 @@ a deliberately naive calculation of Γ(x)/Γ(y).

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html index de0fda5db..914cac89a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html @@ -28,7 +28,7 @@ Functions

- + Synopsis

@@ -67,7 +67,7 @@ }} // namespaces

- + Description

@@ -160,7 +160,7 @@

- + Accuracy

@@ -185,7 +185,7 @@ All values are in units of epsilon.

-

Table 18. Errors In the Function gamma_p(a,z)

+

Table 18. Errors In the Function gamma_p(a,z)

@@ -372,7 +372,7 @@

-

Table 19. Errors In the Function gamma_q(a,z)

+

Table 19. Errors In the Function gamma_q(a,z)

@@ -558,7 +558,7 @@

-

Table 20. Errors In the Function tgamma_lower(a,z)

+

Table 20. Errors In the Function tgamma_lower(a,z)

@@ -693,7 +693,7 @@

-

Table 21. Errors In the Function tgamma(a,z)

+

Table 21. Errors In the Function tgamma(a,z)

@@ -828,7 +828,7 @@

- + Testing

@@ -844,7 +844,7 @@ fraction (see below) is unstable for small a and z.

- + Implementation

@@ -1013,7 +1013,7 @@ by Temme (see references below).

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html index e452f696d..fb2081b09 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html @@ -28,7 +28,7 @@ Gamma Function Inverses
- + Synopsis

@@ -67,7 +67,7 @@ }} // namespaces

- + Description

@@ -173,7 +173,7 @@ 0.

- + Accuracy

@@ -187,7 +187,7 @@ functions.

- + Testing

@@ -210,7 +210,7 @@

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html index b49685890..8ffce1fab 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html @@ -27,7 +27,7 @@ Log Gamma

- + Synopsis

@@ -54,7 +54,7 @@ }} // namespaces

- + Description

@@ -98,7 +98,7 @@ T otherwise.

- + Accuracy

@@ -349,7 +349,7 @@

- + Testing

@@ -360,7 +360,7 @@ Random tests in key problem areas are also used.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html index 462a29b65..ccd9245e3 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html @@ -27,7 +27,7 @@ Gamma

- + Synopsis

@@ -54,7 +54,7 @@ }} // namespaces

- + Description
template <class T>
@@ -129,7 +129,7 @@
 

- + Accuracy

@@ -384,7 +384,7 @@

- + Testing

@@ -399,7 +399,7 @@ a lanczos approximation accurate to around 100 decimal digits.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html index 7370dc406..938c45539 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html @@ -27,7 +27,7 @@ Hermite Polynomials

- + Synopsis

@@ -51,7 +51,7 @@ }} // namespaces

- + Description

@@ -136,7 +136,7 @@

- + Accuracy

@@ -146,7 +146,7 @@ zero error.

-

Table 34. Peak Errors In the Hermite Polynomial

+

Table 34. Peak Errors In the Hermite Polynomial

@@ -253,7 +253,7 @@ is very close to a root.

- + Testing

@@ -263,7 +263,7 @@ precision.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html index f84df71de..6c912b656 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html @@ -28,7 +28,7 @@ Associated) Polynomials

- + Synopsis

@@ -62,7 +62,7 @@ }} // namespaces

- + Description

@@ -210,7 +210,7 @@

- + Accuracy

@@ -220,7 +220,7 @@ zero error.

-

Table 32. Peak Errors In the Laguerre Polynomial

+

Table 32. Peak Errors In the Laguerre Polynomial

@@ -320,7 +320,7 @@

-

Table 33. Peak Errors In the Associated Laguerre +

Table 33. Peak Errors In the Associated Laguerre Polynomial

@@ -429,7 +429,7 @@ is very close to a root.

- + Testing

@@ -439,7 +439,7 @@ precision.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html index 918fac92d..808d1e896 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html @@ -28,7 +28,7 @@ Associated) Polynomials

- + Synopsis

@@ -84,7 +84,7 @@

- + Description
template <class T>
@@ -292,7 +292,7 @@
 
 
 
- + Accuracy

@@ -302,7 +302,7 @@ zero error.

-

Table 29. Peak Errors In the Legendre P Function

+

Table 29. Peak Errors In the Legendre P Function

@@ -431,7 +431,7 @@

-

Table 30. Peak Errors In the Associated Legendre +

Table 30. Peak Errors In the Associated Legendre P Function

@@ -533,7 +533,7 @@

-

Table 31. Peak Errors In the Legendre Q Function

+

Table 31. Peak Errors In the Legendre Q Function

@@ -675,7 +675,7 @@ given here.

- + Testing

@@ -685,7 +685,7 @@ precision.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html index 7663202c6..bb003b886 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html @@ -27,7 +27,7 @@ Spherical Harmonics

- + Synopsis

@@ -60,7 +60,7 @@ }} // namespaces

- + Description

@@ -155,7 +155,7 @@

- + Accuracy

@@ -170,7 +170,7 @@ All values are in units of epsilon.

-

Table 35. Peak Errors In the Sperical Harmonic Functions

+

Table 35. Peak Errors In the Sperical Harmonic Functions

@@ -276,7 +276,7 @@ arbitrarily large when the function is very close to a root.

- + Testing

@@ -286,7 +286,7 @@ precision.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html index a1af950f8..58ba1d936 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html +++ b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html @@ -27,7 +27,7 @@ Riemann Zeta Function

- + Synopsis

@@ -62,7 +62,7 @@

- + Description
template <class T>
@@ -85,7 +85,7 @@
           
         

- + Accuracy

@@ -97,7 +97,7 @@ shown will have effectively zero error.

-

Table 44. Errors In the Function zeta(z)

+

Table 44. Errors In the Function zeta(z)

@@ -234,7 +234,7 @@

- + Testing

@@ -249,7 +249,7 @@ check.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/status/compilers.html b/doc/sf_and_dist/html/math_toolkit/status/compilers.html index 1779c123e..ae2bab119 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/status/compilers.html @@ -37,7 +37,7 @@

-

Table 55. Supported/Tested Compilers

+

Table 55. Supported/Tested Compilers

@@ -540,7 +540,7 @@


-

Table 56. Unsupported Compilers

+

Table 56. Unsupported Compilers

diff --git a/doc/sf_and_dist/html/math_toolkit/status/history1.html b/doc/sf_and_dist/html/math_toolkit/status/history1.html index b8a55bccd..c6f62607a 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/status/history1.html @@ -30,7 +30,7 @@

- + Boost-1.40.0

@@ -72,7 +72,7 @@

- + Boost-1.38.0

@@ -89,7 +89,7 @@

- + Boost-1.37.0

@@ -101,7 +101,7 @@

- + Boost-1.36.0

@@ -139,7 +139,7 @@

- + Boost-1.35.0: Post Review First Official Release
@@ -176,7 +176,7 @@

- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -195,7 +195,7 @@

- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -228,7 +228,7 @@

- + Milestone 2: Released September 10th 2006
@@ -269,7 +269,7 @@

- + Milestone 1: Released March 31st 2006
diff --git a/doc/sf_and_dist/html/math_toolkit/status/issues.html b/doc/sf_and_dist/html/math_toolkit/status/issues.html index fd96c056a..07137ab59 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/issues.html +++ b/doc/sf_and_dist/html/math_toolkit/status/issues.html @@ -43,7 +43,7 @@ with it.

- + tgamma
  • @@ -51,7 +51,7 @@ be optimized any further? (low priority)
- + Incomplete Beta
  • @@ -59,7 +59,7 @@ (medium priority).
- + Inverse Gamma
  • @@ -67,7 +67,7 @@ is good enough (Medium Priority).
- + Polynomials
  • @@ -77,7 +77,7 @@ not (Low Priority).
- + Elliptic Integrals
    @@ -127,7 +127,7 @@
- + Inverse Hyperbolic Functions
@@ -137,7 +137,7 @@ is probably only an issue for very high precision types (Low Priority).
- + Statistical distributions
@@ -146,7 +146,7 @@ for very large degrees of freedom?
- + Feature Requests

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html index ad254c32e..ace5207c3 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html @@ -28,7 +28,7 @@ Evaluation

- + Synopsis

@@ -59,7 +59,7 @@ }}} // namespaces

- + Description

@@ -157,7 +157,7 @@ a continued fraction for convergence.

- + Implementation

@@ -167,7 +167,7 @@ Lentz, W.J. 1976, Applied Optics, vol. 15, pp. 668-671.

- + Examples

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html index 69108fc0d..e3c33e14b 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html @@ -28,7 +28,7 @@ Constants

- + Synopsis

@@ -59,7 +59,7 @@ }}} // namespaces

- + Description

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html index 4945a4543..3405e6a02 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html @@ -28,7 +28,7 @@ Minima

- + synopsis

@@ -45,7 +45,7 @@ std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, boost::uintmax_t& max_iter);

- + Description

@@ -88,7 +88,7 @@ the abscissa at the minima and the value of f(x) at the minima.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html index c5cfe65dd..82dcec72b 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html @@ -28,7 +28,7 @@ and Rational Function Evaluation

- + synopsis

@@ -79,7 +79,7 @@ V evaluate_rational(const T* num, const U* denom, V z, unsigned count);

- + Description

@@ -193,7 +193,7 @@ evaluation with compile-time array sizes may offer slightly better performance.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html index 2d5e77cf4..f3dea3e33 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html @@ -28,7 +28,7 @@ With Derivatives

- + Synopsis

@@ -61,7 +61,7 @@ }}} // namespaces

- + Description

@@ -176,7 +176,7 @@

- + Newton Raphson Method
@@ -196,7 +196,7 @@

- + Halley's Method
@@ -220,7 +220,7 @@

- + Schroeder's Method
@@ -244,7 +244,7 @@ iteration.

- + Example

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html index ffdbfb77f..0ea6456e2 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html @@ -28,7 +28,7 @@ Without Derivatives

- + Synopsis

@@ -141,7 +141,7 @@ }}} // namespaces

- + Description

@@ -559,7 +559,7 @@ as soon as both ends of the interval round to the same nearest integer.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html index 35b41126a..793077ab3 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html @@ -28,7 +28,7 @@ Series Evaluation

- + Synopsis

@@ -61,7 +61,7 @@ }}} // namespaces

- + Description

@@ -117,7 +117,7 @@ summation in this way.

- + Example

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html index 61b30759e..bf3075624 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html @@ -28,7 +28,7 @@ Error and Testing

- + Synopsis

@@ -45,7 +45,7 @@ test_result<see-below> test(const A& a, F1 test_func, F2 expect_func);

- + Description
template <class T>
@@ -165,7 +165,7 @@
           is mainly a debugging/development aid (and a good place for a breakpoint).
         

- + Example

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html index 5258ac73b..263ddd965 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html @@ -27,7 +27,7 @@ Polynomials

- + Synopsis

@@ -103,7 +103,7 @@ }}} // namespaces

- + Description

diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html index 5444e34f5..89df81caa 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html @@ -46,7 +46,7 @@

- + Synopsis
namespace boost{ namespace math{ namespace tools{
@@ -147,7 +147,7 @@
 }}} // namespaces
 
- + Description

@@ -177,7 +177,7 @@

- + Example 1: Output Data for Graph Plotting
@@ -211,7 +211,7 @@

- + Example 2: Creating Test Data
@@ -375,7 +375,7 @@ used by default as it's rather hard on the compiler when the table is large.

- + Example 3: Profiling a Continued Fraction for Convergence and Accuracy
@@ -481,7 +481,7 @@ of a and z.

- + reference

diff --git a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html index 97568e753..3bfee7dbf 100644 --- a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html +++ b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html @@ -42,7 +42,7 @@ behaves just like a built in floating point type.

- + Basic Arithmetic Requirements
@@ -1034,7 +1034,7 @@
- + Standard Library Support Requirements
@@ -1337,11 +1337,11 @@ In addition, for efficient and accurate results, a Lanczos approximation is highly desirable. You may be able to adapt an existing approximation from boost/math/special_functions/lanczos.hpp - or libs/math/tools/ntl_rr_lanczos.hpp: - you will need change static_cast's to lexical_cast's, and the constants to - strings (in order to ensure the coefficients aren't - truncated to long double) and then specialise lanczos_traits - for type T. Otherwise you may have to hack libs/math/tools/lanczos_generator.cpp + or boost/math/bindings/detail/big_lanczos.hpp: + in the former case you will need change static_cast's to lexical_cast's, + and the constants to strings (in order to ensure the + coefficients aren't truncated to long double) and then specialise lanczos_traits for type T. Otherwise you + may have to hack libs/math/tools/lanczos_generator.cpp to find a suitable approximation for your RealType. The code will still compile if you don't do this, but both accuracy and efficiency will be greatly compromised in any function that makes use of the gamma/beta/erf family of functions. diff --git a/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html b/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html index 9d157dd0f..fd93c4054 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html @@ -28,7 +28,7 @@ Infinities and NaN's
- + Synopsis
#define FP_ZERO        /* implementation specific value */
@@ -58,7 +58,7 @@
         to use these functions.
       

- + Description

diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html index 6c7ed0f10..3dd5b83fc 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html @@ -32,7 +32,7 @@ number of ULP.

- + Synopsis

@@ -50,7 +50,7 @@ }} // namespaces

- + Description - float_advance
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html index e24159e58..52e4fada7 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html @@ -34,7 +34,7 @@ different.

- + Synopsis

@@ -52,7 +52,7 @@ }} // namespaces

- + Description - float_distance
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html index 940a751fe..213cc3596 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html @@ -28,7 +28,7 @@ the Next Greater Representable Value (float_next)
- + Synopsis

@@ -46,7 +46,7 @@ }} // namespaces

- + Description - float_next
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html index ccbc5d86b..f67cabbb3 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html @@ -28,7 +28,7 @@ the Next Smaller Representable Value (float_prior)
- + Synopsis

@@ -46,7 +46,7 @@ }} // namespaces

- + Description - float_prior
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html index 03c59b775..a8300a16c 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html @@ -28,7 +28,7 @@ Next Representable Value in a Specific Direction (nextafter)
- + Synopsis

@@ -46,7 +46,7 @@ }} // namespaces

- + Description - nextafter
@@ -76,7 +76,7 @@ returns an overflow_error.

- + Examples - nextafter
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html b/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html index 2b6ca25af..301d01a60 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html @@ -28,7 +28,7 @@ Functions
- + Synopsis

@@ -52,7 +52,7 @@ }} // namespaces

- + Description
template<class T>