From b3f10fe6ed446ae99ce4017d64b79f02f9bab2f6 Mon Sep 17 00:00:00 2001 From: John Maddock Date: Mon, 29 Mar 2010 11:09:51 +0000 Subject: [PATCH] Fix typo in rising_factorial docs and regenerate HTML. [SVN r60909] --- doc/sf_and_dist/factorials.qbk | 3 +- 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 | 20 +++---- .../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 | 58 +++++++++---------- .../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 | 8 +-- .../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 | 20 +++---- .../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 | 4 +- .../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, 654 insertions(+), 653 deletions(-) diff --git a/doc/sf_and_dist/factorials.qbk b/doc/sf_and_dist/factorials.qbk index 6827db461..7efb9ca96 100644 --- a/doc/sf_and_dist/factorials.qbk +++ b/doc/sf_and_dist/factorials.qbk @@ -155,7 +155,7 @@ rising_factorial(x, i) = [Gamma](x + i) / [Gamma](x); or -rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i) +rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i-1) Note that both /x/ and /i/ can be negative as well as positive. @@ -299,3 +299,4 @@ and (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt). ] + diff --git a/doc/sf_and_dist/html/index.html b/doc/sf_and_dist/html/index.html index bd897a5b2..487c4a32b 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: February 03, 2010 at 09:52:16 GMT

Last revised: March 29, 2010 at 08:36:40 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 2004edf86..c7ed4c63f 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 76998f957..5668165df 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 9d2db31ad..9a364be4b 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 09fc5c028..05a08a37a 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 663b1f66e..0469215ad 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 815175e23..8af25c234 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 c29eb89a0..40414cb83 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 f12dff3b9..60b6ae350 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 d698410b8..078cb9fb3 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 5bb62f95c..be2cc9c87 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 2e634367d..5ea8544d9 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 53da80041..5dc7887a1 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 0daa17a21..98fadb5ec 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 95b14f99e..b7a067f69 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 c9459e3d4..74c614e76 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 44c3da14a..c5d916df7 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 8b8a08210..8fa7f4981 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
@@ -81,7 +81,7 @@
             
           

 

-
+
             Member
             Functions
           

@@ -113,7 +113,7 @@
             Returns the scale parameter of this distribution.
           

 

-
+
             Non-member
             Accessors
           

@@ -133,7 +133,7 @@
             The domain of the random variable is [-∞,+∞].
           

 

-
+
             Accuracy
           

 

@@ -141,7 +141,7 @@
             log and exp functions and as such should have very small errors.
           

 

-
+
             Implementation
           

 

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

-
+
             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 13d29be56..9c9fb8b3d 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 b50ad8a25..cc0f21cd5 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 ae9e686e8..62a4b6d80 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 8c16f0f8a..9ef2972bb 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 6799cbac8..53f14be8f 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 c873295e5..fb3eda7d2 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 592fe2de1..3359614f3 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 7f52e4022..a4bd5a137 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 2eac62b99..57f45dcc4 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 4bf04aa50..e45af0724 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 f126549b9..2a9897c94 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 704e22066..604a5b5e2 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 204bda6c8..aa5ec4388 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 358f2d518..8361907f2 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 c09e0f5e1..ac96c0ab3 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 4d5db5896..d68d14d01 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 3cb7e2325..b2bd81a57 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 46cc5e0a6..acf13921f 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
@@ -498,7 +498,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252
               
               

 

-
+
                 Using
                 Binomial distribution moments
               

@@ -535,7 +535,7 @@ 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 9e9ddc81b..b5d436045 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 e24485343..c31f140ee 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 750743250..b27eda3f9 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 08ef5e3ad..143ff0606 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 ae8a981ec..1ec37a40c 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 549f75206..346f6f46d 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 3f872fc89..ae6f723a2 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 c704787b8..1b9747bb6 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 086348656..9ad63b34c 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 d51c483e0..de0d318ea 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 b1f99abee..a3e991df8 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 ea21bab4a..005535d8e 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 1fd75a89c..8f4625d6b 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 0d07b92f5..faa49f50e 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-1.41.0
         

 

@@ -44,7 +44,7 @@
         
         

 

-
+
           Boost-1.40.0
         

 

@@ -86,7 +86,7 @@
         
         

 

-
+
           Boost-1.38.0
         

 

@@ -103,7 +103,7 @@
         
         

 

-
+
           Boost-1.37.0
         

 

@@ -115,7 +115,7 @@
         
         

 

-
+
           Boost-1.36.0
         

 

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

 

-
+
           Boost-1.35.0:
           Post Review First Official Release
         

@@ -190,7 +190,7 @@
         
         

 

-
+
           Milestone
           4: Second Review Candidate (1st March 2007)
         

@@ -209,7 +209,7 @@
         
         

 

-
+
           Milestone
           3: First Review Candidate (31st Dec 2006)
         

@@ -242,7 +242,7 @@
         
         

 

-
+
           Milestone
           2: Released September 10th 2006
         

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

 

-
+
           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 268120db3..ac49d14d6 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 02743912c..9b5dbfcb1 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 0e93bbead..bedd9db9e 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 39772176b..bda1b56a3 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 3ec126833..986a839a3 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-1.13 and Cephes
       

@@ -345,7 +345,7 @@
 
               

                 +INF
-                [1]
+                [1]
               

               
 
@@ -425,7 +425,7 @@
               

                 

 
17.89
-                [2]
+                [2]
                 

 
 

 
(4.248e-005s)

@@ -551,11 +551,11 @@
 
 
 
-
[1] 
+
[1] 
                     Cephes gets stuck in an infinite loop while trying to execute
                     our test cases.
                   

-
[2] 
+
[2] 
                     The performance here is dominated by a few cases where the parameters
                     grow very large: faster asymptotic expansions are available,
                     but are of limited (or even frankly terrible) precision. The
@@ -566,7 +566,7 @@
 
 

 

-
+
         Comparison
         to the R and DCDFLIB Statistical Libraries on Windows
       

@@ -577,7 +577,7 @@
         (R-2.9.2 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

 

@@ -665,7 +665,7 @@
             

               
67.66
-              [1]
+              [1]
               
 
(3.366e-004s)

@@ -1097,7 +1097,7 @@
             

               
3.60
-              [2]
+              [2]
               
 
(5.987e-007s)

@@ -1329,7 +1329,7 @@
             

               
43.43
-              [3]
+              [3]
               
 
(3.732e-004s)

@@ -1401,7 +1401,7 @@
             

               
393.90
-              [4]
+              [4]
               
 
(2.673e-002s)

@@ -1539,7 +1539,7 @@
             

               
1.00
-              [5]
+              [5]
               
 
(4.411e-004s)

@@ -1826,28 +1826,28 @@
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

-
[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.
@@ -1856,7 +1856,7 @@
 

 

 

-
+
         Comparison
         to the R Statistical Library on Linux
       

@@ -1866,7 +1866,7 @@
         G++ 4.3.3 using -O3 -DNDEBUG=1.
       

 

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

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

 
@@ -1952,7 +1952,7 @@
             

               
30.51
-              [1]
+              [1]
               
 
(3.616e-004s)

@@ -2384,7 +2384,7 @@
             

               
2.20
-              [2]
+              [2]
               
 
(3.522e-007s)

@@ -2616,7 +2616,7 @@
             

               
25.92
-              [3]
+              [3]
               
 
(4.407e-004s)

@@ -2688,7 +2688,7 @@
             

               
144.91
-              [4]
+              [4]
               
 
(3.214e-002s)

@@ -2826,7 +2826,7 @@
             

               
1.00
-              [5]
+              [5]
               
 
(5.916e-004s)

@@ -3113,28 +3113,28 @@
 

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

-
[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 e73af06d6..7feba3e73 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 f95543b13..8118a5e8c 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 f449a2245..8ac5435df 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 6883d196e..644bc9c19 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 0b136f67e..73bb7bce9 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 a49180d91..69a0bb44c 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 2fc40ba8d..c6e533c7f 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 146f24e71..9686631e6 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 daf50ff4a..adca03a19 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 e18afa97c..b20d7a6a2 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 124ad279f..7712efa1d 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 e9638ed23..389197bd7 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 2d63fd3ab..1e75ac013 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 78fa03499..7b074a52f 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 cc758a4a4..90c921cee 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 bcd723f4b..d0282d8ba 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 76a44087a..e6ec9a2ef 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 673eaebe9..46c4a7533 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 323b07e1b..4f56ac6bf 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 1b336b6f9..e7a8146ba 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 21d4f3175..7fb27eeb6 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 1eae85838..afc74a265 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 161cbefd4..f040d4128 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
@@ -54,7 +54,7 @@
           or
         

 

-          rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i)
+          rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i-1)
         

 

           Note that both x and i can be
@@ -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 1376b63f8..db8498b3b 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 29c192a92..0c74aa9ed 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 ef52c9b1d..bcc008e1f 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 2da63214a..5f98856c8 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 6a9767141..585383beb 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 db498d62e..5c3873d77 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 0aae84951..ec74b5c3c 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 c1e9eaa3c..f07f1deb3 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 1836fff60..3d36dc523 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 224ddad21..b0e58f1e7 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 3ef54db90..2b6663941 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 0cd629c9e..d31e2fc92 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 da84f5186..a5a8b26e5 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
         

@@ -163,7 +163,7 @@
           
         

-
+
           Accuracy
         

@@ -182,7 +182,7 @@
           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)

 

 
 

 
 
 
 
 
 
 
 
 
@@ -369,7 +369,7 @@
 

 
 


 

 

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

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

 
@@ -536,7 +536,7 @@
 

 
 


 

 

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

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

 
@@ -703,7 +703,7 @@
 

 
 


 

 

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

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

 
@@ -870,7 +870,7 @@
 

 
 


 

 

-
+
           Testing
         

 

@@ -888,7 +888,7 @@
           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 41b8e484b..45e609689 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 7f5ae30a9..fe42f21fe 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 f1b24283f..f1bf1b980 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 4f4551fa0..56293e355 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 664063cd3..be7ce3e61 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 ae640651e..05db75bb9 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 d2d00417c..682b6fda1 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 07b4e6d7a..e3e8c9dab 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 386d6cf7b..1403af6f2 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 9d1347295..962f20c59 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 2f87f043c..5036f8c75 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 7b14d078e..bf628771a 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 cadf96039..e0a879a4a 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 70ef82fb7..c7b228772 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 482cf06a2..3a29b1b4f 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 74494e958..c2b1b1d6e 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 fee5ba55b..911e9462a 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-1.41.0

@@ -43,7 +43,7 @@

- + Boost-1.40.0

@@ -85,7 +85,7 @@

- + Boost-1.38.0

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

- + Boost-1.37.0

@@ -114,7 +114,7 @@

- + Boost-1.36.0

@@ -152,7 +152,7 @@

- + Boost-1.35.0: Post Review First Official Release
@@ -189,7 +189,7 @@

- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -208,7 +208,7 @@

- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -241,7 +241,7 @@

- + Milestone 2: Released September 10th 2006
@@ -282,7 +282,7 @@

- + 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 6146f050e..d4757fb6c 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 ddc5d8acf..d9beea755 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

@@ -78,7 +78,7 @@ }}} // namespaces

- + Description

@@ -178,7 +178,7 @@ a continued fraction for convergence.

- + Implementation

@@ -188,7 +188,7 @@ 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 0694ea173..c5edc65e9 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 1efa55bb3..23e789df2 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 8d3b642bf..d8b4acd97 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 fe1e1c733..b957358e7 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 6e08bb64e..cf7e72102 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 9eb0aabaa..c0c6c347c 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

@@ -70,7 +70,7 @@ }}} // namespaces

- + Description

@@ -127,7 +127,7 @@ 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 a77082988..0fa5302cc 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 0fbc92852..ac46d9ea1 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 a22680de8..d7fcd5673 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 f2303fcbc..7e536945b 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
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 034aca766..3540d8163 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 ea11a7727..160685a05 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 63be4c32c..ae01676fb 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 7754da8fd..edcf49d2e 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 77c42cca8..93d04845e 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 93f7b1925..b11d32bae 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 4492aaaa6..0445b31e3 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>