diff --git a/doc/sf_and_dist/html/index.html b/doc/sf_and_dist/html/index.html index 9b8f47fde..a011d20d5 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)

@@ -502,7 +502,7 @@

- +

Last revised: January 01, 2011 at 17:05:57 GMT

Last revised: January 06, 2011 at 16:44:39 GMT


diff --git a/doc/sf_and_dist/html/index/s12.html b/doc/sf_and_dist/html/index/s12.html index 8588bd0cf..2de46b86b 100644 --- a/doc/sf_and_dist/html/index/s12.html +++ b/doc/sf_and_dist/html/index/s12.html @@ -24,7 +24,7 @@

-Function Index

+Function Index

A B C D E F G H I K L M N P Q R S T U V Z

diff --git a/doc/sf_and_dist/html/index/s13.html b/doc/sf_and_dist/html/index/s13.html index a9dc894b4..9f80f4e0d 100644 --- a/doc/sf_and_dist/html/index/s13.html +++ b/doc/sf_and_dist/html/index/s13.html @@ -24,7 +24,7 @@

-Class Index

+Class Index

B C D E F G H I L M N P R S T U W

diff --git a/doc/sf_and_dist/html/index/s14.html b/doc/sf_and_dist/html/index/s14.html index 471749f57..acf74d73c 100644 --- a/doc/sf_and_dist/html/index/s14.html +++ b/doc/sf_and_dist/html/index/s14.html @@ -24,7 +24,7 @@

-Typedef Index

+Typedef Index

A B C D E F G H I L N O P R S T U V W

diff --git a/doc/sf_and_dist/html/index/s15.html b/doc/sf_and_dist/html/index/s15.html index 2bf4cefa1..717c4480d 100644 --- a/doc/sf_and_dist/html/index/s15.html +++ b/doc/sf_and_dist/html/index/s15.html @@ -24,7 +24,7 @@

-Macro Index

+Macro Index

B F

diff --git a/doc/sf_and_dist/html/index/s16.html b/doc/sf_and_dist/html/index/s16.html index f12ea3c6f..1ff0f0afd 100644 --- a/doc/sf_and_dist/html/index/s16.html +++ b/doc/sf_and_dist/html/index/s16.html @@ -23,7 +23,7 @@

-Index

+Index

A B C D E F G H I K L M N O P Q R S T U V W Z

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 e1dcedff8..3ac582309 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
@@ -224,7 +224,7 @@

- + Handling of Functions that are Not Mathematically defined
@@ -258,7 +258,7 @@

- + Median of distributions
@@ -293,7 +293,7 @@ Basic Statistics. give more detail, in particular for discrete distributions.

- + Handling of Floating-Point Infinity
@@ -337,7 +337,7 @@ handling policies.

- + Scale, Shape and Location
@@ -364,7 +364,7 @@ functions, they can be added if required.

- + Notes on Implementation of Specific Functions & Distributions
@@ -376,7 +376,7 @@ lower = -1, mode = 0 and upper = 1 would be more suitable.
- + Rational Approximations Used
@@ -419,7 +419,7 @@ to the "true" minimax solution.

- + Representation of Mathematical Constants
@@ -480,7 +480,7 @@ double p = boost::math::constants::pi(); // Context does not allow for disambiguation of overloaded function
- + Thread safety
@@ -505,7 +505,7 @@ the right thing here at some point.

- + Sources of Test Data
@@ -546,7 +546,7 @@ the underlying special function is known to be difficult to implement.

- + Creating and Managing the Equations
@@ -731,7 +731,7 @@ 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 fd293d7b5..19ad04395 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

@@ -99,7 +99,7 @@ functions divided by large powers into single (simpler) expressions.

- + The Approximation
@@ -161,7 +161,7 @@

- + Computing the Coefficients
@@ -205,7 +205,7 @@ multiplied by F as the last step.

- + Choosing the Right Parameters
@@ -535,7 +535,7 @@ 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 5f8d22616..706b98cf7 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
@@ -85,7 +85,7 @@ Library (version 2), Walter E. Brown

- + Calculators

@@ -107,7 +107,7 @@ 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 d621caf1a..a8a4f6d82 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 @@ -78,7 +78,7 @@ of binary digits. You have been warned!

- + 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 d495476ff..65ad574df 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 04ae41421..0c9fb1fb4 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 0460d540a..79f3150ff 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
- + 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 5f2bc2496..96c0bf978 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 @@ -161,12 +161,12 @@

- + Member Functions
- + Construct
binomial_distribution(RealType n, RealType p);
@@ -183,7 +183,7 @@
             otherwise calls domain_error.
           

- + Accessors
RealType success_fraction() const;
@@ -199,7 +199,7 @@
             was constructed.
           

- + Lower Bound on the Success Fraction
@@ -305,7 +305,7 @@ limits illustrated in the case of the binomial. Biometrika 26 404-413.

- + Upper Bound on the Success Fraction
@@ -383,7 +383,7 @@
- + Estimating the Number of Trials Required for a Certain Number of Successes
@@ -425,7 +425,7 @@ 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 @@ -473,7 +473,7 @@ Worked Example.

- + Non-member Accessors
@@ -622,7 +622,7 @@
- + Examples

@@ -630,7 +630,7 @@ examples are available illustrating the use of the binomial distribution.

- + Accuracy

@@ -640,7 +640,7 @@ please refer to these functions for information on accuracy.

- + Implementation

@@ -884,7 +884,7 @@

- + 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 be7cf7dd5..1fbea57c0 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
    @@ -148,7 +148,7 @@ The domain of the random variable is [-[max_value], +[min_value]].

    - + Accuracy

    @@ -157,7 +157,7 @@ have very low error rates.

    - + Implementation

    @@ -273,7 +273,7 @@

- + 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 0c27214e4..4be5c3627 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 dcfcaab47..02110d542 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 478f63182..bd85c1af3 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 99c8a4c2a..5e8cdd1ec 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 ceccae678..6805af40a 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/geometric_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/geometric_dist.html index cadacfbaf..68466a4a6 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/geometric_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/geometric_dist.html @@ -146,7 +146,7 @@

    - + Related Distributions
    @@ -206,12 +206,12 @@
- + Member Functions
- + Constructor
geometric_distribution(RealType p);
@@ -226,7 +226,7 @@
             1.
           

- + Accessors
RealType success_fraction() const; // successes / trials (0 <= p <= 1)
@@ -253,7 +253,7 @@
             Binomial Distribution for more discussion.
           

- + Lower Bound on success_fraction Parameter p
@@ -308,7 +308,7 @@ vol. 48, no3, 605-621.

- + Upper Bound on success_fraction Parameter p
@@ -363,7 +363,7 @@ vol. 48, no3, 605-621.

- + Estimating Number of Trials to Ensure at Least a Certain Number of Failures
@@ -415,7 +415,7 @@ probability of observing k failures or fewer.

- + Estimating Number of Trials to Ensure a Maximum Number of Failures or Less
@@ -463,7 +463,7 @@ probability of observing more than k failures.

- + Non-member Accessors
@@ -611,7 +611,7 @@
- + Accuracy

@@ -622,7 +622,7 @@ for example to 10 decimal digits (from 16).

- + 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 0a774ff33..c80c55019 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/inverse_chi_squared_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html index db6b8744b..bb1bd0d98 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html @@ -198,7 +198,7 @@

- + Member Functions
@@ -225,7 +225,7 @@ Returns the scale ξ parameter of this distribution.

- + Non-member Accessors
@@ -255,7 +255,7 @@

- + Accuracy

@@ -271,7 +271,7 @@ iteration is involved, as for the estimation of degrees of freedom.

- + Implementation

@@ -452,7 +452,7 @@

- + References
    diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html index d5e372fc7..7bfce2ed2 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html @@ -130,7 +130,7 @@

    - + Member Functions
    @@ -154,7 +154,7 @@ Returns the β scale parameter of this inverse gamma distribution.

    - + Non-member Accessors
    @@ -184,7 +184,7 @@

- + Accuracy

@@ -198,7 +198,7 @@ >14 decimal digits accuracy for 64-bit double.

- + Implementation

diff --git a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html index ac83a2dc8..b22776300 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html @@ -146,7 +146,7 @@ the __wald_distrib (where mean μ is unity) is also provided.

- + Member Functions
@@ -171,7 +171,7 @@ Returns the scale λ parameter of this distribution.

- + Non-member Accessors
@@ -201,7 +201,7 @@

- + Accuracy

@@ -212,7 +212,7 @@ to a few epsilon, >14 decimal digits accuracy for 64-bit double.

- + Implementation

@@ -390,7 +390,7 @@

- + References
    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 1c1f0b694..4a1866622 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 6a4b7ba42..c31b98bda 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 c7a3691ab..ef9c5fff0 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 a83f34709..6fbb3a01e 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
    @@ -156,7 +156,7 @@ is a central χ2 random variable with The domain of the random variable is [0, 1].

    - + Accuracy

    @@ -299,7 +299,7 @@ is a central χ2 random variable with functions are broadly similar.

    - + Tests

    @@ -311,7 +311,7 @@ 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 9c44ee55a..a5e41a568 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

    @@ -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 e9c723c40..943e5ecc8 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 333adadbf..687db802e 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

    @@ -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 02599322c..8c5880247 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
    @@ -195,12 +195,12 @@
    - + Member Functions
    - + Construct
    negative_binomial_distribution(RealType r, RealType p);
    @@ -216,7 +216,7 @@
                 <= 1.
               

    - + Accessors
    RealType success_fraction() const; // successes / trials (0 <= p <= 1)
    @@ -237,7 +237,7 @@
                 Distribution for more discussion.
               

    - + 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
    @@ -606,7 +606,7 @@

- + Accuracy

@@ -616,7 +616,7 @@ 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 5c1c3d00b..fab9f33ae 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 a41bc4ba2..cb66cba01 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 @@ -86,12 +86,12 @@

- + Related distributions
- + Member Functions
@@ -117,7 +117,7 @@ Returns the shape parameter of this distribution.

- + Non-member Accessors
@@ -137,7 +137,7 @@ The supported domain of the random variable is [scale, ∞].

- + Accuracy

@@ -150,7 +150,7 @@ zero) see also why complements?.

- + Implementation

@@ -318,7 +318,7 @@

- + 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 3bcd13ea6..46975e26f 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 @@ -116,7 +116,7 @@
- + Member Functions
@@ -131,7 +131,7 @@ Returns the mean of this distribution.

- + Non-member Accessors
@@ -151,7 +151,7 @@ The domain of the random variable is [0, ∞].

- + Accuracy

@@ -165,7 +165,7 @@ 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 32f561170..a72616438 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 f1ffee564..6338a2acd 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 14e40a407..72fa7bbea 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 ba2a2585e..feafa9f09 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_dist.html b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull_dist.html index 237907d5d..69cedce23 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull_dist.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 8f7f2e38c..b1d62268c 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
        @@ -94,7 +94,7 @@
      - + Conceptual Index
        @@ -180,7 +180,7 @@
      - + Cumulative Distribution Function
      template <class RealType, class Policy>
      @@ -203,7 +203,7 @@
                 cdf
               

      - + Complement of the Cumulative Distribution Function
      template <class Distribution, class RealType>
      @@ -243,7 +243,7 @@
                 complement is useful and when it should be used.
               

      - + Hazard Function
      template <class RealType, class Policy>
      @@ -271,7 +271,7 @@
                 

    - + Cumulative Hazard Function
    template <class RealType, class Policy>
    @@ -298,7 +298,7 @@
               

- + mean
template<class RealType, class Policy>
@@ -313,7 +313,7 @@
           distribution).
         

- + median
template<class RealType, class Policy>
@@ -323,7 +323,7 @@
           Returns the median of the distribution dist.
         

- + mode
template<class RealType, Policy>
@@ -337,7 +337,7 @@
           if the distribution does not have a defined mode.
         

- + Probability Density Function
template <class RealType, class Policy>
@@ -365,7 +365,7 @@
           pdf
         

- + Range
template<class RealType, class Policy>
@@ -375,7 +375,7 @@
           Returns the valid range of the random variable over distribution dist.
         

- + Quantile
template <class RealType, class Policy>
@@ -405,7 +405,7 @@
           quantile
         

- + Quantile from the complement of the probability.

@@ -450,7 +450,7 @@ survival_inv

- + Standard Deviation
template <class RealType, class Policy>
@@ -464,7 +464,7 @@
           if the distribution does not have a defined standard deviation.
         

- + support
template<class RealType, class Policy>
@@ -481,7 +481,7 @@
           where the pdf is zero, and the cdf zero or unity.
         

- + Variance
template <class RealType, class Policy>
@@ -495,7 +495,7 @@
           if the distribution does not have a defined variance.
         

- + Skewness
template <class RealType, class Policy>
@@ -509,7 +509,7 @@
           if the distribution does not have a defined skewness.
         

- + Kurtosis
template <class RealType, class Policy>
@@ -551,7 +551,7 @@
           'Proper' kurtosis can have a value from zero to + infinity.
         

- + Kurtosis excess
template <class RealType, Policy>
@@ -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 or Percentile

@@ -603,7 +603,7 @@ the Quantile.

- + Inverse CDF Function.

@@ -611,14 +611,14 @@ Quantile.

- + Inverse Survival Function.

The inverse of the survival function, is the same as computing the quantile from the complement of the probability.

- + Probability Mass Function

@@ -631,7 +631,7 @@ applies to continuous distributions.

- + Lower Critical Value.

@@ -640,7 +640,7 @@ the Quantile.

- + Upper Critical Value.

@@ -650,7 +650,7 @@ 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 9545aa9c7..02c6cf867 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
@@ -91,7 +91,7 @@ investigation.

- + Higher Level Hypothesis Tests
@@ -111,7 +111,7 @@ 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 dfea17a9a..1e330a568 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 @@ -379,7 +379,7 @@ Probability of getting between 1 and 8 answers right by guessing is 0.9825 Probability of getting between 4 and 4 answers right by guessing is 0.2252
- + Using Binomial distribution moments
@@ -406,7 +406,7 @@ Mode (the most frequent) is 4 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 060aa7716..822113dfe 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 61deda0fc..753bdb452 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 @@ -246,7 +246,7 @@ error C3861: 'mybetad0': identifier not found
negative_binomial_distribution<MyFPType>  mydist6(8, 1); // Integer arguments -> MyFPType.
 
- + 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 82ffc95e9..5ade28760 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 @@ -138,7 +138,7 @@ Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p 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 a26f921f3..07776b03e 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 @@ -57,7 +57,7 @@

- + Using find_location and find_scale to meet dispensing and measurement specifications
@@ -193,7 +193,7 @@

- + Using Cauchy-Lorentz instead of normal distribution
@@ -305,7 +305,7 @@ of estimating these intervals.

- + 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 8b8d126be..1f1e00e0b 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 @@ -137,7 +137,7 @@ Normal distribution with mean = 0 has fraction > -2, p = 0.97725 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/geometric_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/geometric_eg.html index 867bed7ad..e050d1546 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/geometric_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/geometric_eg.html @@ -94,7 +94,7 @@ error message instead of an abrupt (and silent) program abort.

- + Throwing a dice
@@ -288,7 +288,7 @@ replicated in C++ if desired.

- + Surveying customers to find one with a faulty product
@@ -333,7 +333,7 @@

- + Basket Ball Shooters
@@ -393,7 +393,7 @@ the best shooters, compared to the 0.03 of the mediocre.

- + Estimating failures
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 73d22967e..8cef6546e 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
@@ -230,7 +230,7 @@ the two tails is 0.025 + 0.025 = 0.05,

- + Standard deviations either side of the Mean
@@ -280,12 +280,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740 estimated the standard deviation from only a few measurements.

- + Some simple examples
- + Life of light bulbs
@@ -351,7 +351,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + How many onions?
@@ -396,7 +396,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740

- + Packing beef
@@ -565,7 +565,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740 a few measurements.

- + 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 44d2f7f67..37e8d7df8 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 30b8fd78e..6d044edf5 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 @@ -258,7 +258,7 @@

- + Usage Recomendations

@@ -295,7 +295,7 @@ this can be a big win.

- + Supported C99 Functions
@@ -391,7 +391,7 @@ }}}} // namespaces
- + Supported TR1 Functions
@@ -520,7 +520,7 @@ type calculation rules
.

- + Currently Unsupported C99 Functions
@@ -585,7 +585,7 @@ long double scalbnl(long double x, int ex);
- + 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 9cca6da8d..a146b740d 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 0fe5e1d4b..d73ca7958 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 @@ a Boost.Math Library, and its Examples and Tests
- + Building a Library (shared, dynamic .dll or static .lib)
@@ -100,7 +100,7 @@ building the sources. Boost.Build will do this automatically when appropriate.

- + Building the Examples
@@ -111,7 +111,7 @@ 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/directories.html b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html index fecd8ce69..d53dd505d 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 594a9fd84..849543061 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
@@ -747,7 +747,7 @@ boost::math::policies::overflow_error;.

- + Rationale

@@ -766,7 +766,7 @@

- + Finding More Information
@@ -788,7 +788,7 @@ The various kind of errors are described in more detail below.

- + Domain Errors

@@ -859,7 +859,7 @@ for more details.

- + Evaluation at a pole

@@ -897,7 +897,7 @@ for more details.

- + Numeric Overflow

@@ -921,7 +921,7 @@ doesn't support infinities, the maximum value for the type is returned.

- + Numeric Underflow

@@ -943,7 +943,7 @@ an std::underflow_error C++ exception.

- + Denormalisation Errors

@@ -965,7 +965,7 @@ throws an std::underflow_error C++ exception.

- + Evaluation Errors

@@ -1001,7 +1001,7 @@ for more details.

- + Indeterminate Result Errors

@@ -1029,7 +1029,7 @@ the result of 00 is 1, even though the result is actually mathematically indeterminate.

- + Rounding Errors

@@ -1068,7 +1068,7 @@ 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 75a4e6fb3..9e47dfc2f 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 @@ -28,7 +28,7 @@ New

- + Boost-1.46.0
    @@ -43,7 +43,7 @@
- + Boost-1.45.0
    @@ -60,7 +60,7 @@
- + Boost-1.44.0
    @@ -74,7 +74,7 @@
- + Boost-1.41.0
  • @@ -82,7 +82,7 @@ and its inverse.
- + Boost-1.40.0
    @@ -119,7 +119,7 @@
- + Boost-1.38.0
    @@ -131,14 +131,14 @@
- + Boost-1.37.0
  • Improved accuracy and testing of the inverse hypergeometric functions.
- + Boost-1.36.0
    @@ -171,7 +171,7 @@
- + Boost-1.35.0: Post Review First Official Release
@@ -203,7 +203,7 @@
- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -217,7 +217,7 @@
- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -245,7 +245,7 @@
- + Milestone 2: Released September 10th 2006
@@ -281,7 +281,7 @@
- + 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 09d7e065f..86594b815 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 f2aec0853..37c4ca8a4 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 09a8def9b..fa692b6fa 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 @@ -259,7 +259,7 @@

- + Usage Recomendations
@@ -297,7 +297,7 @@ this can be a big win.

- + Supported C99 Functions
@@ -393,7 +393,7 @@ }}}} // namespaces
- + Supported TR1 Functions
@@ -522,7 +522,7 @@ type calculation rules
.

- + Currently Unsupported C99 Functions
@@ -587,7 +587,7 @@ long double scalbnl(long double x, int ex);
- + Currently Unsupported TR1 Functions
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 559158dff..ecce4593a 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
@@ -344,7 +344,7 @@

- +INF [1] + +INF [1]

@@ -423,7 +423,7 @@

-

17.89[2]

+

17.89[2]

(4.248e-005s)

@@ -548,11 +548,11 @@ -

[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 @@ -563,7 +563,7 @@

- + Comparison to the R and DCDFLIB Statistical Libraries on Windows
@@ -659,7 +659,7 @@

-

67.66[1]

+

67.66[1]

(3.366e-004s)

@@ -1088,7 +1088,7 @@

-

3.60[2]

+

3.60[2]

(5.987e-007s)

@@ -1317,7 +1317,7 @@

-

43.43[3]

+

43.43[3]

(3.732e-004s)

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

-

393.90[4]

+

393.90[4]

(2.673e-002s)

@@ -1523,7 +1523,7 @@

-

1.00[5]

+

1.00[5]

(4.411e-004s)

@@ -1809,28 +1809,28 @@ -

[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. @@ -1839,7 +1839,7 @@


- + Comparison to the R Statistical Library on Linux
@@ -1934,7 +1934,7 @@

-

30.51[1]

+

30.51[1]

(3.616e-004s)

@@ -2363,7 +2363,7 @@

-

2.20[2]

+

2.20[2]

(3.522e-007s)

@@ -2592,7 +2592,7 @@

-

25.92[3]

+

25.92[3]

(4.407e-004s)

@@ -2662,7 +2662,7 @@

-

144.91[4]

+

144.91[4]

(3.214e-002s)

@@ -2798,7 +2798,7 @@

-

1.00[5]

+

1.00[5]

(5.916e-004s)

@@ -3084,28 +3084,28 @@ -

[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/policy/pol_ref/discrete_quant_ref.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html index 3ac571dc7..599d09bcb 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

@@ -89,7 +89,7 @@ = 68.1584.

- + integer_round_outwards

@@ -143,7 +143,7 @@ in each tail.

- + integer_round_inwards

@@ -202,7 +202,7 @@ in each tail.

- + integer_round_down

@@ -210,7 +210,7 @@ or a lower quantile.

- + integer_round_up

@@ -218,7 +218,7 @@ 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 5761f6efe..1918be868 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

@@ -289,7 +289,7 @@

- + ignore_error

@@ -402,7 +402,7 @@

- + user_error

@@ -451,7 +451,7 @@ here.

- + Kinds of Error Raised
@@ -691,7 +691,7 @@
- + 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 fee374e64..0f2999a3f 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 @@ -85,7 +85,7 @@

- + 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 e5ac46a8d..6c91b0f97 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 3fc48b82e..9cc64c3d7 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 b8c46875d..430e4bc56 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

@@ -105,7 +105,7 @@

- + Testing

@@ -114,7 +114,7 @@ (with all the special case handling removed).

- + Accuracy

@@ -489,7 +489,7 @@ 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 fdce23e56..1abc08178 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 a63c85ea3..30ec9a703 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

@@ -104,7 +104,7 @@

- + Testing

@@ -113,7 +113,7 @@ (with all the special case handling removed).

- + Accuracy

@@ -321,7 +321,7 @@

- + 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 2bfe85911..70be3d01f 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 @@ 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

@@ -92,7 +92,7 @@ for small x:

- + Testing

@@ -101,7 +101,7 @@ for small x: implementation (with all the special case handling removed).

- + Accuracy

@@ -111,7 +111,7 @@ 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 8d575a941..88fadde2f 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

@@ -113,7 +113,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Accuracy

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

- + Testing

@@ -235,7 +235,7 @@ 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 029b74460..97903d67c 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

@@ -113,7 +113,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Accuracy

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

- + Testing

@@ -235,7 +235,7 @@ 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 a0cf294d0..13a0449ec 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

@@ -119,7 +119,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Accuracy

@@ -231,7 +231,7 @@

- + Testing

@@ -241,7 +241,7 @@ this implementation.

- + Implementation

@@ -278,7 +278,7 @@ Π(n, φ+mπ, k) = Π(n, φ, k) + 2mΠ(n, k) ; n <= 1

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

are used to move φ   to the range [0, π/2]. @@ -298,7 +298,7 @@



-

[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 8787f9b92..1fcb6c9bd 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

@@ -216,7 +216,7 @@

- + Testing

@@ -239,7 +239,7 @@ to verify their correctness: see the above Carlson paper for details.

- + Accuracy

@@ -393,7 +393,7 @@

- + 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 d47adec3b..69a2b98d8 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 @@ -49,14 +49,14 @@ Elliptic integral.

- + Notation

All variables are real numbers unless otherwise noted.

- + Definition

@@ -245,7 +245,7 @@

- + Duplication Theorem

@@ -256,7 +256,7 @@

- + Carlson's Formulas

@@ -273,7 +273,7 @@

- + Numerical Algorithms
@@ -287,7 +287,7 @@ 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 53bcf4651..6cd1f7c31 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 @@ Ei

- + Synopsis

@@ -58,7 +58,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -78,7 +78,7 @@
           
         

- + Accuracy

@@ -202,7 +202,7 @@ slightly over the range [4,6].

- + Testing

@@ -217,7 +217,7 @@ check.

- + Implementation

@@ -247,7 +247,7 @@ a minimax rational approximation rescaled so that it is evaluated over [-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] experienced the same issue and converted the polynomials into + Cody and Thacher [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 they are computed over the interval [-1,1]. @@ -277,7 +277,7 @@



-

[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 the exponential 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 9e176d4f9..71971f95e 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 @@ En

- + Synopsis

@@ -58,7 +58,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -78,7 +78,7 @@
           
         

- + Accuracy

@@ -220,7 +220,7 @@

- + Testing

@@ -235,7 +235,7 @@ 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 5eee7c1c0..65a396feb 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 @@ -90,7 +90,7 @@

- + Accuracy

@@ -99,14 +99,14 @@ 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 f6fe7b4b6..b72a0f3bb 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 @@ -106,7 +106,7 @@

- + Accuracy

@@ -114,14 +114,14 @@ 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 b1bc0c015..8b4c93896 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
@@ -157,7 +157,7 @@ the size of further tables that depend on the factorials.

- + Accuracy

@@ -166,7 +166,7 @@ will be the same as for tgamma.

- + Testing

@@ -175,7 +175,7 @@ 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 41b7d0a82..69d073268 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 @@ -71,7 +71,7 @@ the type of the result is T.

- + Accuracy

@@ -79,14 +79,14 @@ 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 607038fca..c4ae2eebc 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 @@ -75,7 +75,7 @@ the type of the result is T.

- + Accuracy

@@ -83,14 +83,14 @@ 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 c66a28e20..add874f0e 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 @@ -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/asinh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html index 33de92304..e785d46f0 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 @@ -57,14 +57,14 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Accuracy

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

- + Testing

@@ -80,7 +80,7 @@ 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 a1d71f5bd..45870f0c5 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 @@ -71,14 +71,14 @@ denoting

- + Accuracy

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

- + Testing

@@ -94,7 +94,7 @@ 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 d36f713d8..476c3d4fc 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 @@ -66,7 +66,7 @@

- + Accuracy

@@ -74,7 +74,7 @@ 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 e622898fa..54a34fbbe 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

@@ -121,7 +121,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Error Handling
@@ -227,7 +227,7 @@ doubleresult=pow<-5>(base);
- + Acknowledgements

@@ -238,7 +238,7 @@ 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 5289e9ed2..9823e40d8 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 @@ -75,7 +75,7 @@

- + Accuracy

@@ -83,7 +83,7 @@ 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 25e050964..55b8f0ba5 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 @@ -53,7 +53,7 @@ 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 ef6cf3355..253b9bd47 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 @@ -88,7 +88,7 @@

- + Accuracy

@@ -96,7 +96,7 @@ 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 01a8ce5db..101757f7a 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 @@ -69,14 +69,14 @@

- + 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 cf35e7810..63164b1fb 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 @@ -71,7 +71,7 @@

- + Accuracy

@@ -79,7 +79,7 @@ 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 052c1da33..71f9430f6 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

@@ -71,14 +71,14 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + 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 121d08838..e3f4e766e 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

@@ -81,7 +81,7 @@ type calculation rules when T1 and T2 are different types.

- + Accuracy

@@ -239,7 +239,7 @@ very small.

- + Testing

@@ -248,7 +248,7 @@ 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 9afdde7ff..ca0777894 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

@@ -158,7 +158,7 @@

- + Accuracy

@@ -865,7 +865,7 @@


- + Testing

@@ -883,7 +883,7 @@ 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 e5d16e143..13a6b378d 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

@@ -288,7 +288,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Accuracy

@@ -300,7 +300,7 @@ or 1.

- + Testing

@@ -324,7 +324,7 @@

- + Implementation of ibeta_inv and ibetac_inv
@@ -492,7 +492,7 @@ 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 60299458f..56c30ad35 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 @@ -27,7 +27,7 @@ Error Functions
- + Synopsis

@@ -63,7 +63,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -100,7 +100,7 @@
           
         

- + Accuracy

@@ -525,7 +525,7 @@

- + Testing

@@ -540,7 +540,7 @@ 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 db4e11eef..38e470d11 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

@@ -64,7 +64,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -98,7 +98,7 @@
           
         

- + Accuracy

@@ -108,7 +108,7 @@ error functions.

- + Testing

@@ -131,7 +131,7 @@

- + 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 82b9cdb43..a33aceb45 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

@@ -77,7 +77,7 @@ T otherwise.

- + Accuracy

@@ -265,7 +265,7 @@ absolute error will remain very low.

- + Testing

@@ -275,7 +275,7 @@ 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 034a32637..eb98d27ce 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

@@ -75,7 +75,7 @@ otherwise the return type is simply T1.

- + Accuracy

@@ -83,7 +83,7 @@ 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 961fc6be6..f348457a0 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> 
@@ -107,7 +107,7 @@
           
         

- + Accuracy

@@ -317,7 +317,7 @@

- + Testing

@@ -326,7 +326,7 @@ 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 8a681d289..690cfcdde 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

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

- + Accuracy

@@ -823,7 +823,7 @@

- + Testing

@@ -839,7 +839,7 @@ fraction (see below) is unstable for small a and z.

- + Implementation

@@ -1008,7 +1008,7 @@ 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 c1f2cb928..d8c70e7e9 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

@@ -168,7 +168,7 @@ 0.

- + Accuracy

@@ -182,7 +182,7 @@ functions.

- + Testing

@@ -206,7 +206,7 @@

- + 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 bfe35ccff..a9ac239ed 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

@@ -93,7 +93,7 @@ T otherwise.

- + Accuracy

@@ -344,7 +344,7 @@

- + Testing

@@ -355,7 +355,7 @@ 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 fdcaa66e0..470522269 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>
@@ -119,7 +119,7 @@
           it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.
         

- + Accuracy

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

- + Testing

@@ -389,7 +389,7 @@ 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 46b6dbec1..188119ae2 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

@@ -131,7 +131,7 @@

- + Accuracy

@@ -248,7 +248,7 @@ is very close to a root.

- + Testing

@@ -258,7 +258,7 @@ 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 8763b0fbe..c26b31fe4 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

@@ -205,7 +205,7 @@

- + Accuracy

@@ -422,7 +422,7 @@ is very close to a root.

- + Testing

@@ -432,7 +432,7 @@ 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 f8cfea385..e05a88ed4 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

@@ -79,7 +79,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -295,7 +295,7 @@
 
 
 
- + Accuracy

@@ -676,7 +676,7 @@ given here.

- + Testing

@@ -686,7 +686,7 @@ 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 bcda7ca64..9ebb0a1c1 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

@@ -150,7 +150,7 @@

- + Accuracy

@@ -271,7 +271,7 @@ arbitrarily large when the function is very close to a root.

- + Testing

@@ -281,7 +281,7 @@ 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 05a2adda3..ac172051e 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

@@ -57,7 +57,7 @@ it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

- + Description
template <class T>
@@ -80,7 +80,7 @@
           
         

- + Accuracy

@@ -229,7 +229,7 @@

- + Testing

@@ -244,7 +244,7 @@ check.

- + Implementation

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 5e4c206b3..be187a2c3 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/status/history1.html @@ -27,7 +27,7 @@ History and What's New

- + Boost-1.46.0
- + Boost-1.45.0
- + Boost-1.44.0
- + Boost-1.41.0
- + Boost-1.40.0
- + Boost-1.38.0
- + Boost-1.37.0
- + Boost-1.36.0
- + Boost-1.35.0: Post Review First Official Release
@@ -202,7 +202,7 @@
- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -216,7 +216,7 @@
- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -244,7 +244,7 @@
- + Milestone 2: Released September 10th 2006
@@ -280,7 +280,7 @@
- + 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 a056f404b..9e650a4c7 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/issues.html +++ b/doc/sf_and_dist/html/math_toolkit/status/issues.html @@ -40,7 +40,7 @@ with it.

- + tgamma
- + Incomplete Beta
- + Inverse Gamma
- + Polynomials
- + Elliptic Integrals
- + Inverse Hyperbolic Functions
@@ -137,7 +137,7 @@ This 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 6c6214afa..3a8203416 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 d66e5c3c1..e227b02e1 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 15a640eae..2de35188f 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: Brent's algorithm

- + 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

@@ -90,7 +90,7 @@ 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 372cbdcfd..d73a9c98e 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 7970dec42..16fbb1241 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: Newton-Raphson, Halley & Schroeder

- + Synopsis

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

- + Description

@@ -206,7 +206,7 @@

- + Newton Raphson Method
@@ -224,7 +224,7 @@ iteration.

- + Halley's Method
@@ -246,7 +246,7 @@ iteration.

- + Schroeder's Method
@@ -270,7 +270,7 @@ 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 064553c1c..899baac78 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: Bisection, Bracket and TOMS748

- + Synopsis

@@ -144,7 +144,7 @@ }}} // namespaces

- + Description

@@ -181,7 +181,7 @@ to be used only rarely, but may be useful in some specific circumstances.

- + Bisection
template <class F, class T, class Tol>
@@ -280,7 +280,7 @@
           tol was satisfied.
         

- + Bracket and solve
@@ -388,7 +388,7 @@ was satisfied.

- + Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions
@@ -554,14 +554,14 @@ as soon as both ends of the interval round to the same nearest integer.

- + Implementation

The implementation of the bisection algorithm is extremely straightforward - and not detailed here. TOMS Algorithm - 748: enclosing zeros of continuous functions is described in detail - in: + and not detailed here. TOMS + Algorithm 748: enclosing zeros of continuous functions is described + in detail in:

Algorithm 748: Enclosing Zeros of Continuous Functions, G. E. 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 6213278f9..38b36b9b2 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 @@ 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/internals1/tuples.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/tuples.html index 38a52440c..f9eade5e9 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/tuples.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/tuples.html @@ -27,7 +27,7 @@ Tuples

- + Synopsis

@@ -38,7 +38,7 @@

- + Description

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 003e4529d..c2bc5adbb 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>
@@ -157,7 +157,7 @@
           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 d5ffaae98..a74fa9f04 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 47f1c9e60..0776216ef 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
@@ -376,7 +376,7 @@ 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
@@ -482,7 +482,7 @@ of a and z.

- + reference

diff --git a/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html b/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html index 2baff0918..2094d8fb6 100644 --- a/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html +++ b/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html @@ -39,7 +39,7 @@

- + Real concept

@@ -84,7 +84,7 @@ declaration.

- + Testing the real concept

@@ -130,7 +130,7 @@ double, also tests real_concept.

- + Distribution Concept

@@ -166,7 +166,7 @@ class for distribution types.

- + Testing the distribution concept

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 b286dfa61..55c894b3f 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
@@ -1035,7 +1035,7 @@
- + 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 53a556536..0f58afa6c 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 55eeb83fa..4067f5402 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 51e31d573..dc226cf4b 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 f7b4932f9..827b0cc7b 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 @@ 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 b38c71d28..97399a0f6 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 e781362ee..9b5abd796 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 f0e813926..21263c358 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> 
diff --git a/doc/sf_and_dist/math.qbk b/doc/sf_and_dist/math.qbk
index bd4871baa..9ef647827 100644
--- a/doc/sf_and_dist/math.qbk
+++ b/doc/sf_and_dist/math.qbk
@@ -281,7 +281,7 @@ and use the function's name as the link text.]
 [def __errno [@http://en.wikipedia.org/wiki/Errno `::errno`]]
 [def __Mathworld [@http://mathworld.wolfram.com Wolfram MathWorld]]
 [def __Mathematica [@http://www.wolfram.com/products/mathematica/index.html Wolfram Mathematica]]
-[def __TOMS748 [@doi:10.1145/210089.210111  TOMS Algorithm 748: enclosing zeros of continuous functions]]
+[def __TOMS748 [@http://portal.acm.org/citation.cfm?id=210111 TOMS Algorithm 748: enclosing zeros of continuous functions]]
 [def __why_complements [link why_complements why complements?]]
 [def __complements [link complements complements]]
 [def __performance [link math_toolkit.perf performance]]
@@ -520,3 +520,4 @@ and as a CD ISBN 0-9504833-2-X  978-0-9504833-2-0, Classification 519.2-dc22.
   (See accompanying file LICENSE_1_0.txt or copy at
   http://www.boost.org/LICENSE_1_0.txt).
 ]
+
diff --git a/example/factorial_example.cpp b/example/factorial_example.cpp
index bc1c5a39d..7a51e0746 100644
--- a/example/factorial_example.cpp
+++ b/example/factorial_example.cpp
@@ -73,7 +73,7 @@ int main()
   try
   {
     unsigned n = 10; unsigned k = 2;
-  //	cout << "Binomial coefficient: " << boost::math::binomial_coefficient(n,k) << endl;
+    // cout << "Binomial coefficient: " << boost::math::binomial_coefficient(n,k) << endl;
   }
   catch(exception& e)
   {
@@ -94,3 +94,4 @@ Output:
 
 */
 
+
diff --git a/example/inverse_chi_squared_example.cpp b/example/inverse_chi_squared_example.cpp
index 1bda6ac8e..717046022 100644
--- a/example/inverse_chi_squared_example.cpp
+++ b/example/inverse_chi_squared_example.cpp
@@ -167,4 +167,5 @@ Output is:
   cdf(ichisq, 1.) = 0.60653065971263365
 
 
-*/
\ No newline at end of file
+*/
+
diff --git a/example/inverse_chi_squared_find_df_example.cpp b/example/inverse_chi_squared_find_df_example.cpp
index fce4674d8..ea0f932dc 100644
--- a/example/inverse_chi_squared_find_df_example.cpp
+++ b/example/inverse_chi_squared_find_df_example.cpp
@@ -182,4 +182,5 @@ diff = 0.5, variance = 1, ratio = 0.5, alpha = 0.1, beta = 0.1
   ratio+1 = 1.5, quantile(0.9) = 29.6, cdf = 1, result = 0.1
 
 
-  */
\ No newline at end of file
+  */
+  
diff --git a/example/inverse_gaussian_example.cpp b/example/inverse_gaussian_example.cpp
index 81b31cecb..155b531b7 100644
--- a/example/inverse_gaussian_example.cpp
+++ b/example/inverse_gaussian_example.cpp
@@ -85,7 +85,7 @@ int main()
       cout << "Probability distribution function (pdf) values" << endl;
       cout << "  z " "      pdf " << endl;
       cout.precision(5);
-      for (double z = numeric_limits::min(); z < range + step; z += step)
+      for (double z = (numeric_limits::min)(); z < range + step; z += step)
       {
         cout << left << setprecision(3) << setw(6) << z << " " 
           << setprecision(precision) << setw(12) << pdf(w11, z) << endl;
@@ -98,7 +98,7 @@ int main()
       // For a (default) inverse gaussian distribution.
       cout << "Integral (area under the curve) from 0 up to z (cdf) " << endl;
       cout << "  z " "      cdf " << endl;
-      for (double z = numeric_limits::min(); z < range + step; z += step)
+      for (double z = (numeric_limits::min)(); z < range + step; z += step)
       {
         cout << left << setprecision(3) << setw(6) << z << " " 
           << setprecision(precision) << setw(12) << cdf(w11, z) << endl;
@@ -227,7 +227,7 @@ for a probability for a few probability from the above table, for z = 0.4, 1.0,
   /*
   double qs = pinvgaussU(c, 1, 1); // 
     cout << "qinvgaussU(c, 1, 1) = " << qs << endl; // qinvgaussU(c, 1, 1) = 0.86567442459240929
-    // > z=q - exp(c) * p [1] 0.8656744 		qs	0.86567442459240929	double
+    // > z=q - exp(c) * p [1] 0.8656744 qs 0.86567442459240929	double
     // Is this the complement?
     cout << "qgamma(0.2, 0.5, 1) expect 0.0320923 = " << qgamma(0.2, 0.5, 1) << endl;
     // qgamma(0.2, 0.5, 1) expect 0.0320923 = 0.032092377333650807
@@ -508,3 +508,6 @@ $Kurtosis...B2.minus.3
 
 
 */
+
+
+
diff --git a/example/policy_ref_snip10.cpp b/example/policy_ref_snip10.cpp
index 3b548fa6a..a4806dc6e 100644
--- a/example/policy_ref_snip10.cpp
+++ b/example/policy_ref_snip10.cpp
@@ -36,4 +36,5 @@ Output:
 
  tgamma(12, policy >())  = 3.99168e+007
 
-*/
\ No newline at end of file
+*/
+
diff --git a/example/policy_ref_snip11.cpp b/example/policy_ref_snip11.cpp
index f16d3f3b9..9e82750a1 100644
--- a/example/policy_ref_snip11.cpp
+++ b/example/policy_ref_snip11.cpp
@@ -41,4 +41,5 @@ int main()
 Output:
   25 binary bits is approoximately equivalent to 9 decimal digits 
   quantile(normal_distribution > >(), 0.05  = -1.64485363
-  */
\ No newline at end of file
+  */
+
diff --git a/example/policy_ref_snip13.cpp b/example/policy_ref_snip13.cpp
index 59c1c4dcd..3fd190667 100644
--- a/example/policy_ref_snip13.cpp
+++ b/example/policy_ref_snip13.cpp
@@ -72,4 +72,5 @@ Output:
 policy_snip_13.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\policy_snip_13.exe
   Error in function boost::math::mean(cauchy&): The Cauchy distribution does not have a mean: the only possible return value is 1.#QNAN.
 
-  */
\ No newline at end of file
+  */
+