From 7a7e3934851e428cf7e5b419b89df3db24ec2a68 Mon Sep 17 00:00:00 2001
From: John Maddock
Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
@@ -488,7 +488,7 @@Last revised: March 29, 2010 at 08:36:40 GMT |
+Last revised: April 13, 2010 at 12:21:17 GMT |
@@ -98,7 +98,7 @@ functions divided by large powers into single (simpler) expressions.
Table 53. Optimal choices for N and g when computing with +
Table 53. Optimal choices for N and g when computing with guard digits (source: Pugh)
@@ -250,7 +250,7 @@
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 8af25c234..78e831bc2 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
@@ -136,7 +136,7 @@ and so should have errors within an epsilon or two.
@@ -327,7 +327,7 @@
beta_distribution(RealType alpha, RealType beta); @@ -165,7 +165,7 @@ yellow in the graph above).- + Parameter Accessors
@@ -189,7 +189,7 @@ assert(mybeta.beta() == 5.); // mybeta.beta() returns 5
cdf(beta_distribution<RealType>(alpha, beta), x) == probability.
@@ -277,7 +277,7 @@ from presumed-known mean and variance. statistical inference.
@@ -315,7 +315,7 @@ from presumed-known mean and variance. please refer to these functions for information on accuracy.
@@ -597,7 +597,7 @@ from presumed-known mean and variance.
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 078cb9fb3..f7e1a1149 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html @@ -167,12 +167,12 @@
binomial_distribution(RealType n, RealType p); @@ -189,7 +189,7 @@ otherwise calls domain_error.- + Accessors
RealType success_fraction() const; @@ -205,7 +205,7 @@ was constructed.- + Lower Bound on the Success Fraction
@@ -311,7 +311,7 @@ limits illustrated in the case of the binomial. Biometrika 26 404-413.- + Upper Bound on the Success Fraction
@@ -389,7 +389,7 @@
Table 11. Meaning of the non-member accessors
+Table 11. Meaning of the non-member accessors
@@ -635,7 +635,7 @@ examples are available illustrating the use of the binomial distribution.
@@ -645,7 +645,7 @@ please refer to these functions for information on accuracy.
@@ -160,7 +160,7 @@ have very low error rates.
@@ -276,7 +276,7 @@
@@ -204,7 +204,7 @@ independent, normally distributed random are available illustrating the use of the Chi Squared Distribution.
@@ -212,7 +212,7 @@ independent, normally distributed random gamma functions: please refer to the accuracy data for those functions.
@@ -379,7 +379,7 @@ independent, normally distributed random
@@ -122,7 +122,7 @@ should have very low error rates.
@@ -283,7 +283,7 @@
@@ -154,7 +154,7 @@ very low error rates.
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 b7a067f69..233b5579c 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 @@
@@ -134,7 +134,7 @@ are available illustrating the use of the F Distribution.
@@ -143,7 +143,7 @@ refer to those functions for accuracy data.
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 74c614e76..1f144f30a 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.
@@ -194,7 +194,7 @@ refer to the accuracy data for those functions for more information.
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 c5d916df7..4b089f988 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 @@
@@ -211,7 +211,7 @@ meaningless for N >= 1015.
@@ -223,7 +223,7 @@ this implementation and NTL::RR.
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 8fa7f4981..1f69346f7 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 @@
@@ -141,7 +141,7 @@ log and exp functions and as such should have very small errors.
@@ -140,7 +140,7 @@ as special cases if RealType error can be guarenteed.
@@ -613,7 +613,7 @@ please refer to these functions for information on accuracy.
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 a4bd5a137..9a49e3aeb 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 @@
@@ -139,7 +139,7 @@ function, and as such should have very low error rates.
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 57f45dcc4..e2ad02f44 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
@@ -87,12 +87,12 @@
@@ -151,7 +151,7 @@ zero) see also why complements?.
@@ -319,7 +319,7 @@
@@ -171,7 +171,7 @@ using an iterative method with a lower tolerance to avoid excessive computation.
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 2a9897c94..123390e2d 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 @@
@@ -151,7 +151,7 @@ using NTL RR type with 150-bit accuracy, about 50 decimal digits.
@@ -320,7 +320,7 @@
@@ -202,7 +202,7 @@ are available illustrating the use of the Student's t distribution.
@@ -211,7 +211,7 @@ inverses, refer to accuracy data on those functions for more information.
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 aa5ec4388..a74aa8a47 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 @@
@@ -193,7 +193,7 @@ with arguments nearing the extremes of zero and unity.
@@ -378,7 +378,7 @@ Calculate and plot probability distributions
@@ -173,7 +173,7 @@ and so should have errors within an epsilon or two.
@@ -337,7 +337,7 @@
@@ -170,7 +170,7 @@ as such should have very low error rates.
@@ -337,7 +337,7 @@
template <class RealType, class Policy> @@ -267,7 +267,7 @@- + Cumulative Hazard Function
@@ -295,7 +295,7 @@- + mean
template<class RealType, class Policy> @@ -310,7 +310,7 @@ distribution).- + median
template<class RealType, class Policy> @@ -320,7 +320,7 @@ Returns the median of the distribution dist.- + mode
template<class RealType, Policy> @@ -334,7 +334,7 @@ if the distribution does not have a defined mode.- + Probability Density Function
@@ -363,7 +363,7 @@![]()
- + range
template<class RealType, class Policy> @@ -373,7 +373,7 @@ Returns the valid range of the random variable over distribution dist.- + Quantile
template <class RealType, class Policy> @@ -402,7 +402,7 @@![]()
- + Quantile from the complement of the probability.
@@ -448,7 +448,7 @@![]()
- + Standard Deviation
@@ -463,7 +463,7 @@ if the distribution does not have a defined standard deviation.- + support
template<class RealType, class Policy> @@ -480,7 +480,7 @@ where the pdf is zero, and the cdf zero or unity.- + Variance
template <class RealType, class Policy> @@ -494,7 +494,7 @@ if the distribution does not have a defined variance.- + Skewness
template <class RealType, class Policy> @@ -508,7 +508,7 @@ if the distribution does not have a defined skewness.- + Kurtosis
template <class RealType, class Policy> @@ -550,7 +550,7 @@ 'Proper' kurtosis can have a value from zero to + infinity.- + Kurtosis excess
@@ -585,7 +585,7 @@ The kurtosis excess of a normal distribution is zero.- + P and Q
@@ -595,7 +595,7 @@ returned by these functions.
- + Percent Point Function
@@ -604,7 +604,7 @@ the Quantile.- + Inverse CDF Function.
@@ -613,7 +613,7 @@ Quantile.- + Inverse Survival Function.
@@ -621,7 +621,7 @@ The inverse of the survival function, is the same as computing the quantile from the complement of the probability.- + Probability Mass Function
@@ -635,7 +635,7 @@ applies to continuous distributions.- + Lower Critical Value.
@@ -645,7 +645,7 @@ the Quantile.- + Upper Critical Value.
@@ -656,7 +656,7 @@ complement of the probability.- + Survival Function
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/future.html b/doc/sf_and_dist/html/math_toolkit/dist/future.html index b2bd81a57..c4ef6dcd0 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/future.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/future.html @@ -27,7 +27,7 @@ Extras/Future Directions- + Adding Additional Location and Scale Parameters
@@ -55,7 +55,7 @@ functions.- + An "any_distribution" class
@@ -84,7 +84,7 @@ use case: this needs more investigation.- + Higher Level Hypothesis Tests
@@ -104,7 +104,7 @@ expected_mean.- + Integration With Statistical Accumulators
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html index acf13921f..57a69e4f5 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -498,7 +498,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252- + Using Binomial distribution moments
@@ -535,7 +535,7 @@ Skewness is 0.2887- + Quantiles
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html index b5d436045..cb6435c46 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 c31f140ee..eeb45f170 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html @@ -332,7 +332,7 @@ error C3861: 'mybetad0': identifier not found- + Default arguments to distribution constructors.
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html index b27eda3f9..e2264a4fb 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html @@ -177,7 +177,7 @@ Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999- + Controlling Error Handling from find_location
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index 143ff0606..7e67913f9 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -62,7 +62,7 @@- + Using find_location and find_scale to meet dispensing and measurement specifications
@@ -246,7 +246,7 @@- + Using Cauchy-Lorentz instead of normal distribution
@@ -397,7 +397,7 @@- + Changing the scale or standard deviation
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html index 1ec37a40c..49f1e95a3 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html @@ -179,7 +179,7 @@ Normal distribution with mean = 0 has fraction > -2, p = 0.999- + Controlling how Errors from find_scale are handled
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html index 346f6f46d..b4bd73919 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html @@ -32,7 +32,7 @@ illustrates their use.- + Traditional Tables
@@ -278,7 +278,7 @@
- + Standard deviations either side of the Mean
@@ -346,12 +346,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Some simple examples
- + Life of light bulbs
@@ -435,7 +435,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + How many onions?
@@ -494,7 +494,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Packing beef
@@ -703,7 +703,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Length of bolts
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html b/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html index ae6f723a2..b5aadb36e 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 1b9747bb6..c2de63268 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html @@ -285,7 +285,7 @@
- + Usage Recomendations
- + Supported C99 Functions
@@ -440,7 +440,7 @@- + Supported TR1 Functions
@@ -579,7 +579,7 @@- + Currently Unsupported C99 Functions
@@ -650,7 +650,7 @@- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html index 9ad63b34c..9b6447ed3 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 de0d318ea..56f6a6b26 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/building.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/building.html @@ -28,7 +28,7 @@ the Library and its Examples and Tests- + Building the Library
@@ -93,7 +93,7 @@ building the sources. Boost.Build will do this automatically when appropriate.- + Building the Examples
@@ -104,7 +104,7 @@ the Boost headers are in your compilers #include search path.- + Building the Tests
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html index a3e991df8..a446e183d 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html @@ -37,7 +37,7 @@
-Table 9. Supported/Tested Compilers
+Table 9. Supported/Tested Compilers
@@ -540,7 +540,7 @@
-Table 10. Unsupported Compilers
+Table 10. Unsupported Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html index 005535d8e..6292fa6f4 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 8f4625d6b..f57c579b3 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html @@ -27,7 +27,7 @@ Error Handling- + Quick Reference
@@ -132,7 +132,7 @@ the default action for each error shown in bold:-Table 1. Possible Actions for Domain Errors
+Table 1. Possible Actions for Domain Errors
@@ -207,7 +207,7 @@ -Table 2. Possible Actions for Pole Errors
+Table 2. Possible Actions for Pole Errors
@@ -282,7 +282,7 @@ -Table 3. Possible Actions for Overflow Errors
+Table 3. Possible Actions for Overflow Errors
@@ -357,7 +357,7 @@ -Table 4. Possible Actions for Underflow Errors
+Table 4. Possible Actions for Underflow Errors
@@ -432,7 +432,7 @@ -Table 5. Possible Actions for Denorm Errors
+Table 5. Possible Actions for Denorm Errors
@@ -507,7 +507,7 @@ -Table 6. Possible Actions for Rounding Errors
+Table 6. Possible Actions for Rounding Errors
@@ -582,7 +582,7 @@ -Table 7. Possible Actions for Internal Evaluation +
Table 7. Possible Actions for Internal Evaluation Errors
@@ -659,7 +659,7 @@
-Table 8. Possible Actions for Indeterminate Result +
Table 8. Possible Actions for Indeterminate Result Errors
@@ -737,7 +737,7 @@
- + Rationale
- + Finding More Information
@@ -778,7 +778,7 @@ The various kind of errors are described in more detail below.- + Domain Errors
@@ -871,7 +871,7 @@ for more details.- + Evaluation at a pole
@@ -910,7 +910,7 @@ for more details.- + Numeric Overflow
@@ -935,7 +935,7 @@ doesn't support infinities, the maximum value for the type is returned.- + Numeric Underflow
@@ -958,7 +958,7 @@ anstd::underflow_errorC++ exception.- + Denormalisation Errors
@@ -981,7 +981,7 @@ throws anstd::underflow_errorC++ exception.- + Evaluation Errors
@@ -1018,7 +1018,7 @@ for more details.- + Indeterminate Result Errors
@@ -1045,7 +1045,7 @@ the result of 00 is 1, even though the result is actually mathematically indeterminate.- + Rounding Errors
@@ -1085,7 +1085,7 @@ for more details.- + Errors from typecasts
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html b/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html index faa49f50e..7be03d37b 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html @@ -31,7 +31,7 @@- + Boost-1.41.0
- + 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
@@ -190,7 +190,7 @@- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -209,7 +209,7 @@- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -242,7 +242,7 @@- + Milestone 2: Released September 10th 2006
@@ -283,7 +283,7 @@- + Milestone 1: Released March 31st 2006
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html b/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html index ac49d14d6..2e97f2c59 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 9b5dbfcb1..de04b6fb3 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 bedd9db9e..9057293cf 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html @@ -286,7 +286,7 @@- + Usage Recomendations
@@ -338,7 +338,7 @@- + Supported C99 Functions
@@ -442,7 +442,7 @@- + Supported TR1 Functions
@@ -581,7 +581,7 @@- + Currently Unsupported C99 Functions
@@ -652,7 +652,7 @@- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html index bda1b56a3..4990de9b0 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html @@ -35,7 +35,7 @@ in this respect).-Table 48. Performance Comparison of Various Windows Compilers
+Table 48. Performance Comparison of Various Windows Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html index 986a839a3..31abb1476 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html @@ -46,7 +46,7 @@ - + Comparison to GSL-1.13 and Cephes
@@ -345,7 +345,7 @@@@ -425,7 +425,7 @@
(4.248e-005s)
@@ -551,11 +551,11 @@- - + Comparison to the R and DCDFLIB Statistical Libraries on Windows
@@ -577,7 +577,7 @@ (R-2.9.2 appears not to be buildable with Visual C++).-Table 51. A Comparison to the R Statistical Library on Windows +
Table 51. A Comparison to the R Statistical Library on Windows XP
@@ -665,7 +665,7 @@
(3.366e-004s)
@@ -1097,7 +1097,7 @@
(5.987e-007s)
@@ -1329,7 +1329,7 @@
(3.732e-004s)
@@ -1401,7 +1401,7 @@
(2.673e-002s)
@@ -1539,7 +1539,7 @@
(4.411e-004s)
@@ -1826,28 +1826,28 @@- [1] +
-[1] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.
[2] +
-[2] This result is somewhat misleading: for small values of the parameters there is virtually no difference between the two libraries, but for large values the Boost implementation is much slower, albeit with much improved precision.
[3] +
-[3] The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in "typical" cases
- + Comparison to the R Statistical Library on Linux
@@ -1866,7 +1866,7 @@ G++ 4.3.3 using -O3 -DNDEBUG=1.-Table 52. A Comparison to the R Statistical Library on Linux
+Table 52. A Comparison to the R Statistical Library on Linux
@@ -1952,7 +1952,7 @@
(3.616e-004s)
@@ -2384,7 +2384,7 @@
(3.522e-007s)
@@ -2616,7 +2616,7 @@
(4.407e-004s)
@@ -2688,7 +2688,7 @@
(3.214e-002s)
@@ -2826,7 +2826,7 @@
(5.916e-004s)
@@ -3113,28 +3113,28 @@- [1] +
-[1] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.
[2] +
-[2] This result is somewhat misleading: for small values of the parameters there is virtually no difference between the two libraries, but for large values the Boost implementation is much slower, albeit with much improved precision.
[3] +
-[3] The R library appears to use a linear-search strategy, that can perform very badly in a small number of pathological cases, but may or may not be more efficient in "typical" cases
[4] +
-[4] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result.
[5] +
[5] There are a small number of our test cases where the R library fails to converge on a result: these tend to dominate the performance result. diff --git a/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html b/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html index 7feba3e73..126265bd3 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html @@ -33,7 +33,7 @@ penalty for using the library in debug mode can be quite large.
-Table 47. Performance Comparison of Release and Debug Settings
+Table 47. Performance Comparison of Release and Debug Settings
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html index 8118a5e8c..521e41cca 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html @@ -234,7 +234,7 @@ highly vectorisable processors in the future. -Table 49. A Comparison of Polynomial Evaluation Methods
+Table 49. A Comparison of Polynomial Evaluation Methods
@@ -634,7 +634,7 @@ tutorial. -Table 50. Performance Comparison with and Without Internal +
Table 50. Performance Comparison with and Without Internal Promotion to long double
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html index 8ac5435df..c4276b5ef 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html @@ -55,7 +55,7 @@ can take have the following meanings:
- + real
@@ -93,7 +93,7 @@ = 68.1584.
- + integer_round_outwards
@@ -151,7 +151,7 @@ in each tail.
- + integer_round_inwards
@@ -214,7 +214,7 @@ in each tail.
- + integer_round_down
@@ -222,7 +222,7 @@ or a lower quantile.
- + integer_round_up
@@ -230,7 +230,7 @@ a lower quantile.
- + integer_round_nearest
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html index 644bc9c19..34b2928b9 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html @@ -39,7 +39,7 @@
- + Available Actions When an Error is Raised
@@ -62,7 +62,7 @@ The various enumerated values have the following meanings:- + throw_on_error
@@ -174,7 +174,7 @@
- + errno_on_error
@@ -287,7 +287,7 @@
- + ignore_error
@@ -400,7 +400,7 @@
- + user_error
@@ -449,7 +449,7 @@ here.
- + Kinds of Error Raised
@@ -688,7 +688,7 @@- + Examples
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html index 73bb7bce9..d6b20d68f 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html @@ -84,7 +84,7 @@
- + Examples
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html index 69a0bb44c..7d06e9f53 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_errororuser_error.- + BOOST_MATH_POLE_ERROR_POLICY
@@ -81,7 +81,7 @@
ignore_errororuser_error.- + BOOST_MATH_OVERFLOW_ERROR_POLICY
@@ -91,7 +91,7 @@
ignore_errororuser_error.- + BOOST_MATH_ROUNDING_ERROR_POLICY
@@ -101,7 +101,7 @@
ignore_errororuser_error.- + BOOST_MATH_EVALUATION_ERROR_POLICY
@@ -111,7 +111,7 @@
ignore_errororuser_error.- + BOOST_MATH_UNDERFLOW_ERROR_POLICY
@@ -121,7 +121,7 @@
ignore_errororuser_error.- + BOOST_MATH_DENORM_ERROR_POLICY
@@ -131,7 +131,7 @@
ignore_errororuser_error.- + BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY
@@ -142,7 +142,7 @@
ignore_errororuser_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 c6e533c7f..2f9d0d01c 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 9686631e6..c7cd53935 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html @@ -28,7 +28,7 @@ of the First and Second Kinds- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type cyl_neumann(T1 v, T2 x, const Policy&);- + Description
@@ -110,7 +110,7 @@
![]()
- + Testing
@@ -119,7 +119,7 @@ (with all the special case handling removed).
- + Accuracy
@@ -135,7 +135,7 @@ zero error. All values are relative errors in units of epsilon.
-Table 37. Errors Rates in cyl_neumann
+Table 37. Errors Rates in cyl_neumann
@@ -494,7 +494,7 @@ were found. - + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html index adca03a19..3ecf623bc 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 b20d7a6a2..d6e943e73 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html @@ -28,7 +28,7 @@ Functions of the First and Second Kinds- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type cyl_bessel_k(T1 v, T2 x, const Policy&);- + Description
@@ -109,7 +109,7 @@
![]()
- + Testing
@@ -118,7 +118,7 @@ (with all the special case handling removed).
- + Accuracy
@@ -129,7 +129,7 @@ zero error. All values are relative errors in units of epsilon.
- + 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 7712efa1d..0ffa5bfff 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html @@ -28,7 +28,7 @@ Bessel Functions of the First and Second Kinds
- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type sph_neumann(unsigned v, T2 x, const Policy&);- + Description
@@ -97,7 +97,7 @@ for small x:
![]()
- + Testing
@@ -106,7 +106,7 @@ for small x: implementation (with all the special case handling removed).
- + Accuracy
@@ -116,7 +116,7 @@ for small x: refer to these functions for accuracy data.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html index 389197bd7..967f0016f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html @@ -28,7 +28,7 @@ of the First Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -123,7 +123,7 @@
- + Accuracy
@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.
-Table 41. Errors Rates in the Elliptic Integrals of the +
Table 41. Errors Rates in the Elliptic Integrals of the First Kind
@@ -237,7 +237,7 @@
- + Testing
@@ -247,7 +247,7 @@ this implementation.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html index 1e75ac013..9c8d97d65 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html @@ -28,7 +28,7 @@ of the Second Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -123,7 +123,7 @@
- + Accuracy
@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.
-Table 42. Errors Rates in the Elliptic Integrals of the +
Table 42. Errors Rates in the Elliptic Integrals of the Second Kind
@@ -237,7 +237,7 @@
- + Testing
@@ -247,7 +247,7 @@ this implementation.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html index 7b074a52f..c45f64657 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html @@ -28,7 +28,7 @@ of the Third Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -129,7 +129,7 @@
- + Accuracy
@@ -140,7 +140,7 @@ All values are relative errors in units of epsilon.
-Table 43. Errors Rates in the Elliptic Integrals of the +
Table 43. Errors Rates in the Elliptic Integrals of the Third Kind
@@ -243,7 +243,7 @@
- + Testing
@@ -253,7 +253,7 @@ this implementation.
- + Implementation
@@ -291,7 +291,7 @@
Π(n, φ+mπ, k) = Π(n, φ, k) ; n > 1 - [1] + [1]
are used to move φ to the range [0, π/2]. @@ -311,7 +311,7 @@
-[1] +
[1] I haven't been able to find a literature reference for this relation, but it appears to be the convention used by Mathematica. Intuitively the first 2 * m * Π(n, k) terms cancel out as the diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html index 90c921cee..b9c0e1b55 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html @@ -28,7 +28,7 @@ Integrals - Carlson Form
- + Synopsis
@@ -100,7 +100,7 @@ }} // namespaces
- + Description
@@ -236,7 +236,7 @@
![]()
- + Testing
@@ -265,7 +265,7 @@ to verify their correctness: see the above Carlson paper for details.
- + Accuracy
@@ -276,7 +276,7 @@ All values are relative errors in units of epsilon.
-Table 40. Errors Rates in the Carlson Elliptic Integrals
+Table 40. Errors Rates in the Carlson Elliptic Integrals
@@ -419,7 +419,7 @@ - + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html index d0282d8ba..0666598e9 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html @@ -61,14 +61,14 @@ Elliptic integral.
- + Notation
All variables are real numbers unless otherwise noted.
- + Definition
@@ -257,7 +257,7 @@
- + Duplication Theorem
@@ -269,7 +269,7 @@![]()
- + Carlson's Formulas
@@ -287,7 +287,7 @@![]()
- + Numerical Algorithms
@@ -301,7 +301,7 @@ integrals with satisfactory precisions.- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html index e6ec9a2ef..d258bb618 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html @@ -28,7 +28,7 @@ Integral Ei
- + Synopsis
@@ -63,7 +63,7 @@
- + Description
template <class T> @@ -83,7 +83,7 @@![]()
- + Accuracy
@@ -95,7 +95,7 @@ error.
-Table 46. Errors In the Function expint(z)
+Table 46. Errors In the Function expint(z)
@@ -207,7 +207,7 @@ slightly over the range [4,6]. - + Testing
@@ -222,7 +222,7 @@ check.
- + Implementation
@@ -253,7 +253,7 @@ [-1,1]. Note that while the rational approximation over [0,6] converges rapidly to the minimax solution it is rather ill-conditioned in practice. Cody and Thacher - [2] + [2] experienced the same issue and converted the polynomials into Chebeshev form to ensure stable computation. By experiment we found that the polynomials are just as stable in polynomial as Chebyshev form, provided @@ -284,7 +284,7 @@
-[2] +
[2] W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations for the exponential integral E1(x), Math. Comp. 22 (1968), 641-649, and W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html index 46c4a7533..399083ff4 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html @@ -28,7 +28,7 @@ Integral En
- + Synopsis
@@ -63,7 +63,7 @@
- + Description
template <class T> @@ -83,7 +83,7 @@![]()
- + Accuracy
@@ -94,7 +94,7 @@ the one shown will have effectively zero error.
-Table 45. Errors In the Function expint(n, z)
+Table 45. Errors In the Function expint(n, z)
@@ -225,7 +225,7 @@ - + Testing
@@ -240,7 +240,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html index 4f56ac6bf..1d7d32cfc 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html @@ -65,7 +65,7 @@ if the result is too large to represent in type T.
- + Accuracy
@@ -74,14 +74,14 @@ function for larger arguments.
- + Testing
The spot tests for the binomial coefficients use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html index e7a8146ba..4eda36276 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html @@ -64,7 +64,7 @@ of i! is possible.
- + Accuracy
@@ -72,14 +72,14 @@ so error rates should be no more than a couple of epsilon higher.
- + Testing
The spot tests for the double factorial use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html index 7fb27eeb6..88d36f1cf 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html @@ -27,7 +27,7 @@ Factorial
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
template <class T> @@ -112,7 +112,7 @@ the size of further tables that depend on the factorials.- + Accuracy
@@ -121,7 +121,7 @@ will be the same as for tgamma.
- + Testing
@@ -130,7 +130,7 @@ function handle those cases already.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html index afc74a265..dc668aadf 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html @@ -76,7 +76,7 @@ the type of the result is T.
- + Accuracy
@@ -84,14 +84,14 @@ function.
- + Testing
The spot tests for the falling factorials use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html index f040d4128..bcdbf132d 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html @@ -80,7 +80,7 @@ the type of the result is T.
- + Accuracy
@@ -88,14 +88,14 @@ function.
- + Testing
The spot tests for the rising factorials use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html index db8498b3b..5aeb6571d 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html @@ -67,14 +67,14 @@
![]()
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -90,7 +90,7 @@ to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html index 0c74aa9ed..c01477f4a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html @@ -62,14 +62,14 @@
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -85,7 +85,7 @@ to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html index bcc008e1f..4d2384765 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html @@ -76,14 +76,14 @@ denoting
![]()
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -99,7 +99,7 @@ denoting to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html index 5f98856c8..ce6f8bc65 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html @@ -71,7 +71,7 @@
![]()
- + Accuracy
@@ -79,7 +79,7 @@ should have approximately 2 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html b/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html index 585383beb..ab7bed013 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
- + Policies
@@ -126,7 +126,7 @@
- + Error Handling
@@ -231,7 +231,7 @@ double result = pow<-5>(base);- + Acknowledgements
@@ -242,7 +242,7 @@ improving the implementation.
- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html index 5c3873d77..8373bc45c 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html @@ -80,7 +80,7 @@
![]()
- + Accuracy
@@ -88,7 +88,7 @@ should have approximately 1 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html index ec74b5c3c..131b643f3 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html @@ -58,7 +58,7 @@ in such a representable.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html index f07f1deb3..e17ef8a75 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html @@ -93,7 +93,7 @@
![]()
- + Accuracy
@@ -101,7 +101,7 @@ should have approximately 1 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html index 3d36dc523..bebba83a5 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html @@ -74,14 +74,14 @@
![]()
- + Accuracy
Should have approximately 2-3 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html index b0e58f1e7..97e2b66ce 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html @@ -76,7 +76,7 @@
![]()
- + Accuracy
@@ -84,7 +84,7 @@ should have approximately 3 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html index 2b6663941..4bc2b007c 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html @@ -28,7 +28,7 @@ of the Incomplete Beta Function
- + Synopsis
@@ -49,7 +49,7 @@ }} // namespaces
- + Description
@@ -76,14 +76,14 @@
- + Accuracy
Almost identical to the incomplete beta function ibeta.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html index d31e2fc92..17f8a3e4f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html @@ -27,7 +27,7 @@ Beta
- + Synopsis
@@ -48,7 +48,7 @@ }} // namespaces
- + Description
@@ -86,7 +86,7 @@ type calculation rules when T1 and T2 are different types.
- + Accuracy
@@ -98,7 +98,7 @@ zero error.
-Table 22. Peak Errors In the Beta Function
+Table 22. Peak Errors In the Beta Function
@@ -244,7 +244,7 @@ very small. - + Testing
@@ -253,7 +253,7 @@ at 1000-bit precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html index a5a8b26e5..512484d85 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html @@ -28,7 +28,7 @@ Beta Functions
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -163,7 +163,7 @@
![]()
- + Accuracy
@@ -182,7 +182,7 @@ with the wider exponent range of the long double types.
-Table 23. Errors In the Function ibeta(a,b,x)
+Table 23. Errors In the Function ibeta(a,b,x)
@@ -369,7 +369,7 @@ -Table 24. Errors In the Function ibetac(a,b,x)
+Table 24. Errors In the Function ibetac(a,b,x)
@@ -536,7 +536,7 @@ -Table 25. Errors In the Function beta(a, b, x)
+Table 25. Errors In the Function beta(a, b, x)
@@ -703,7 +703,7 @@ -Table 26. Errors In the Function betac(a,b,x)
+Table 26. Errors In the Function betac(a,b,x)
@@ -870,7 +870,7 @@ - + Testing
@@ -888,7 +888,7 @@ have test data that is fully independent of the code.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html index 45e609689..32946d4e8 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html @@ -87,7 +87,7 @@ }} // namespaces
- + Description
@@ -323,7 +323,7 @@
- + Accuracy
@@ -335,7 +335,7 @@ or
1.- + Testing
- + Implementation of ibeta_inv and ibetac_inv
@@ -527,7 +527,7 @@ rapidly converges on the true value.- + Implementation of inverses on the a and b parameters
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html index fe42f21fe..cd6171857 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html @@ -28,7 +28,7 @@ Functions- + Synopsis
@@ -69,7 +69,7 @@
- + Description
template <class T> @@ -106,7 +106,7 @@![]()
- + Accuracy
@@ -119,7 +119,7 @@ the one shown will have effectively zero error.
-Table 27. Errors In the Function erf(z)
+Table 27. Errors In the Function erf(z)
@@ -325,7 +325,7 @@ -Table 28. Errors In the Function erfc(z)
+Table 28. Errors In the Function erfc(z)
@@ -531,7 +531,7 @@ - + Testing
@@ -546,7 +546,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html index f1bf1b980..5dd76ece5 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html @@ -28,7 +28,7 @@ Inverses
- + Synopsis
@@ -69,7 +69,7 @@
- + Description
template <class T> @@ -103,7 +103,7 @@![]()
- + Accuracy
@@ -113,7 +113,7 @@ error functions.
- + Testing
- + 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 56293e355..41c2baa2f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html @@ -27,7 +27,7 @@ Digamma
- + Synopsis
@@ -48,7 +48,7 @@ }} // namespaces
- + Description
@@ -82,7 +82,7 @@ T otherwise.
- + Accuracy
@@ -270,7 +270,7 @@ absolute error will remain very low.
- + Testing
@@ -280,7 +280,7 @@ see below).
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html index be7ce3e61..348cc3a3b 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html @@ -28,7 +28,7 @@ of the Incomplete Gamma Function
- + Synopsis
@@ -49,7 +49,7 @@ }} // namespaces
- + Description
@@ -80,7 +80,7 @@ otherwise the return type is simply T1.
- + Accuracy
@@ -88,7 +88,7 @@ refer to the documentation for that function for more information.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html index 05db75bb9..e51a88b5d 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html @@ -51,7 +51,7 @@ }} // namespaces
- + Description
template <class T1, class T2> @@ -117,7 +117,7 @@![]()
- + Accuracy
@@ -127,7 +127,7 @@ effectively zero error.
-Table 16. Errors In the Function tgamma_delta_ratio(a, delta)
+Table 16. Errors In the Function tgamma_delta_ratio(a, delta)
@@ -230,7 +230,7 @@ -Table 17. Errors In the Function tgamma_ratio(a, +
Table 17. Errors In the Function tgamma_ratio(a, b)
@@ -329,7 +329,7 @@
- + Testing
@@ -338,7 +338,7 @@ a deliberately naive calculation of Γ(x)/Γ(y).
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html index 682b6fda1..846716a40 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html @@ -28,7 +28,7 @@ Functions
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -160,7 +160,7 @@
![]()
- + Accuracy
@@ -185,7 +185,7 @@ All values are in units of epsilon.
-Table 18. Errors In the Function gamma_p(a,z)
+Table 18. Errors In the Function gamma_p(a,z)
@@ -372,7 +372,7 @@ -Table 19. Errors In the Function gamma_q(a,z)
+Table 19. Errors In the Function gamma_q(a,z)
@@ -558,7 +558,7 @@ -Table 20. Errors In the Function tgamma_lower(a,z)
+Table 20. Errors In the Function tgamma_lower(a,z)
@@ -693,7 +693,7 @@ -Table 21. Errors In the Function tgamma(a,z)
+Table 21. Errors In the Function tgamma(a,z)
@@ -828,7 +828,7 @@ - + Testing
@@ -844,7 +844,7 @@ fraction (see below) is unstable for small a and z.
- + Implementation
@@ -1013,7 +1013,7 @@ by Temme (see references below).
- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html index e3e8c9dab..014e07107 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html @@ -28,7 +28,7 @@ Gamma Function Inverses
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -173,7 +173,7 @@ 0.
- + Accuracy
@@ -187,7 +187,7 @@ functions.
- + Testing
- + 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 1403af6f2..cc7131fdc 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html @@ -27,7 +27,7 @@ Log Gamma
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
@@ -98,7 +98,7 @@ T otherwise.
- + Accuracy
@@ -349,7 +349,7 @@
- + Testing
@@ -360,7 +360,7 @@ Random tests in key problem areas are also used.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html index 962f20c59..6cc2035e1 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html @@ -27,7 +27,7 @@ Gamma
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
template <class T> @@ -129,7 +129,7 @@
- + Accuracy
@@ -384,7 +384,7 @@
- + Testing
@@ -399,7 +399,7 @@ a lanczos approximation accurate to around 100 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html index 5036f8c75..10993be43 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
- + Accuracy
@@ -146,7 +146,7 @@ zero error.
-Table 34. Peak Errors In the Hermite Polynomial
+Table 34. Peak Errors In the Hermite Polynomial
@@ -253,7 +253,7 @@ is very close to a root. - + Testing
@@ -263,7 +263,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html index bf628771a..800fe51dd 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
- + Accuracy
@@ -220,7 +220,7 @@ zero error.
-Table 32. Peak Errors In the Laguerre Polynomial
+Table 32. Peak Errors In the Laguerre Polynomial
@@ -320,7 +320,7 @@ -Table 33. Peak Errors In the Associated Laguerre +
Table 33. Peak Errors In the Associated Laguerre Polynomial
@@ -429,7 +429,7 @@ is very close to a root.
- + Testing
@@ -439,7 +439,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html index e0a879a4a..8718a4b60 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html @@ -28,7 +28,7 @@ Associated) Polynomials
- + Synopsis
@@ -84,7 +84,7 @@
- + Description
template <class T> @@ -292,7 +292,7 @@- + Accuracy
@@ -302,7 +302,7 @@ zero error.
-Table 29. Peak Errors In the Legendre P Function
+Table 29. Peak Errors In the Legendre P Function
@@ -431,7 +431,7 @@ -Table 30. Peak Errors In the Associated Legendre +
Table 30. Peak Errors In the Associated Legendre P Function
@@ -533,7 +533,7 @@
-Table 31. Peak Errors In the Legendre Q Function
+Table 31. Peak Errors In the Legendre Q Function
@@ -675,7 +675,7 @@ given here. - + Testing
@@ -685,7 +685,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html index c7b228772..6acd0fcc7 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html @@ -27,7 +27,7 @@ Spherical Harmonics
- + Synopsis
@@ -60,7 +60,7 @@ }} // namespaces
- + Description
@@ -155,7 +155,7 @@
![]()
- + Accuracy
@@ -170,7 +170,7 @@ All values are in units of epsilon.
-Table 35. Peak Errors In the Sperical Harmonic Functions
+Table 35. Peak Errors In the Sperical Harmonic Functions
@@ -276,7 +276,7 @@ arbitrarily large when the function is very close to a root. - + Testing
@@ -286,7 +286,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html index 3a29b1b4f..d7947ce4e 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html +++ b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html @@ -27,7 +27,7 @@ Riemann Zeta Function
- + Synopsis
@@ -62,7 +62,7 @@
- + Description
template <class T> @@ -85,7 +85,7 @@![]()
- + Accuracy
@@ -97,7 +97,7 @@ shown will have effectively zero error.
-Table 44. Errors In the Function zeta(z)
+Table 44. Errors In the Function zeta(z)
@@ -234,7 +234,7 @@ - + Testing
@@ -249,7 +249,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/status/compilers.html b/doc/sf_and_dist/html/math_toolkit/status/compilers.html index c2b1b1d6e..0e9f48d93 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/status/compilers.html @@ -37,7 +37,7 @@
-Table 55. Supported/Tested Compilers
+Table 55. Supported/Tested Compilers
@@ -540,7 +540,7 @@
-Table 56. Unsupported Compilers
+Table 56. Unsupported Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/status/history1.html b/doc/sf_and_dist/html/math_toolkit/status/history1.html index 911e9462a..9d2f204fa 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/status/history1.html @@ -30,7 +30,7 @@ - + Boost-1.41.0
- + 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
@@ -189,7 +189,7 @@- + Milestone 4: Second Review Candidate (1st March 2007)
@@ -208,7 +208,7 @@- + Milestone 3: First Review Candidate (31st Dec 2006)
@@ -241,7 +241,7 @@- + Milestone 2: Released September 10th 2006
@@ -282,7 +282,7 @@- + Milestone 1: Released March 31st 2006
diff --git a/doc/sf_and_dist/html/math_toolkit/status/issues.html b/doc/sf_and_dist/html/math_toolkit/status/issues.html index d4757fb6c..a9fd8a261 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/issues.html +++ b/doc/sf_and_dist/html/math_toolkit/status/issues.html @@ -43,7 +43,7 @@ with it.- + tgamma
- @@ -51,7 +51,7 @@ be optimized any further? (low priority)
- + Incomplete Beta
- @@ -59,7 +59,7 @@ (medium priority).
- + Inverse Gamma
- @@ -67,7 +67,7 @@ is good enough (Medium Priority).
- + Polynomials
- @@ -77,7 +77,7 @@ not (Low Priority).
- + Elliptic Integrals
@@ -127,7 +127,7 @@
- + Inverse Hyperbolic Functions
@@ -137,7 +137,7 @@ is probably only an issue for very high precision types (Low Priority).- + Statistical distributions
@@ -146,7 +146,7 @@ for very large degrees of freedom?- + Feature Requests
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html index d9beea755..6a4c822d3 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 c5edc65e9..b0c12a958 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 23e789df2..367f5f22b 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html @@ -28,7 +28,7 @@ Minima
- + synopsis
@@ -45,7 +45,7 @@ std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, boost::uintmax_t& max_iter);
- + Description
@@ -88,7 +88,7 @@ the abscissa at the minima and the value of f(x) at the minima.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html index d8b4acd97..1afcdc65c 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 b957358e7..3d452c9b6 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html @@ -28,7 +28,7 @@ With Derivatives
- + Synopsis
@@ -61,7 +61,7 @@ }}} // namespaces
- + Description
- + Newton Raphson Method
@@ -196,7 +196,7 @@
- + Halley's Method
@@ -220,7 +220,7 @@
- + Schroeder's Method
@@ -244,7 +244,7 @@ iteration.- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html index cf7e72102..aa291c69e 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html @@ -28,7 +28,7 @@ Without Derivatives
- + Synopsis
@@ -141,7 +141,7 @@ }}} // namespaces
- + Description
@@ -559,7 +559,7 @@ as soon as both ends of the interval round to the same nearest integer.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html index c0c6c347c..f7a14c725 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html @@ -28,7 +28,7 @@ Series Evaluation
- + Synopsis
@@ -70,7 +70,7 @@ }}} // namespaces
- + Description
@@ -127,7 +127,7 @@ summation in this way.
- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html index 0fa5302cc..353292fbf 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html @@ -28,7 +28,7 @@ Error and Testing
- + Synopsis
@@ -45,7 +45,7 @@ test_result<see-below> test(const A& a, F1 test_func, F2 expect_func);
- + Description
template <class T> @@ -165,7 +165,7 @@ is mainly a debugging/development aid (and a good place for a breakpoint).- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html index ac46d9ea1..041038bee 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 d7fcd5673..d480ddd00 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
- + Example 1: Output Data for Graph Plotting
@@ -211,7 +211,7 @@![]()
- + Example 2: Creating Test Data
@@ -375,7 +375,7 @@ used by default as it's rather hard on the compiler when the table is large.- + Example 3: Profiling a Continued Fraction for Convergence and Accuracy
@@ -481,7 +481,7 @@ of a and z.- + reference
diff --git a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html index 7e536945b..f4441a6c7 100644 --- a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html +++ b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html @@ -42,7 +42,7 @@ behaves just like a built in floating point type.
- + Basic Arithmetic Requirements
@@ -1034,7 +1034,7 @@- + Standard Library Support Requirements
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html b/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html index 3540d8163..c6d71f0ed 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 160685a05..8938a1528 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 ae01676fb..df95941b6 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 edcf49d2e..98a3f7eb4 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html @@ -28,7 +28,7 @@ the Next Greater Representable Value (float_next)- + Synopsis
@@ -46,7 +46,7 @@ }} // namespaces
- + Description - float_next
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html index 93d04845e..3a220ba77 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 b11d32bae..680bf1bbe 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/rounding/modf.html b/doc/sf_and_dist/html/math_toolkit/utils/rounding/modf.html index 104acd42d..b11a5f550 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/rounding/modf.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/rounding/modf.html @@ -60,7 +60,8 @@The
modffunctions store the integer part of v in*ipartand return the fractional part - of v. + of v. The sign of the integer and fractional parts + are the same as the sign of v.If the argument v is either non-finite or else outside 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 0445b31e3..4193e2ff7 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/rounding_func.qbk b/doc/sf_and_dist/rounding_func.qbk index 13cc1fb2a..8663e550f 100644 --- a/doc/sf_and_dist/rounding_func.qbk +++ b/doc/sf_and_dist/rounding_func.qbk @@ -109,7 +109,8 @@ default this throws an instance of boost::math::rounding_error. T modf(const T& v, long long* ipart, const Policy&); The `modf` functions store the integer part of /v/ in `*ipart` -and return the fractional part of /v/. +and return the fractional part of /v/. The sign of the integer +and fractional parts are the same as the sign of /v/. If the argument /v/ is either non-finite or else outside the range of the result type, then returns the result of __rounding_error: by diff --git a/include/boost/math/special_functions/round.hpp b/include/boost/math/special_functions/round.hpp index e29b298a1..519abdd80 100644 --- a/include/boost/math/special_functions/round.hpp +++ b/include/boost/math/special_functions/round.hpp @@ -22,7 +22,7 @@ inline T round(const T& v, const Policy& pol) BOOST_MATH_STD_USING if(!(boost::math::isfinite)(v)) return policies::raise_rounding_error("boost::math::round<%1%>(%1%)", 0, v, pol); - return floor(v + 0.5f); + return v < 0 ? static_cast(ceil(v - 0.5f)) : static_cast (floor(v + 0.5f)); } template inline T round(const T& v) diff --git a/test/test_round.cpp b/test/test_round.cpp index b8f742fe5..6f16b3d1e 100644 --- a/test/test_round.cpp +++ b/test/test_round.cpp @@ -48,6 +48,12 @@ void check_within_half(T a, U u) std::cerr << "Values were: " << std::setprecision(35) << std::setw(40) << std::left << a << u << std::endl; } + if((fabs(a - u) == 0.5f) && (fabs(static_cast (u)) < fabs(a))) + { + BOOST_ERROR("Rounded result was towards zero with boost::round"); + std::cerr << "Values were: " << std::setprecision(35) << std::setw(40) + << std::left << a << u << std::endl; + } } // @@ -75,6 +81,12 @@ void check_trunc_result(T a, U u) std::cerr << "Values were: " << std::setprecision(35) << std::setw(40) << std::left << a << u << std::endl; } + if(fabs(static_cast (u)) > fabs(a)) + { + BOOST_ERROR("Rounded result was away from zero with boost::trunc"); + std::cerr << "Values were: " << std::setprecision(35) << std::setw(40) + << std::left << a << u << std::endl; + } } template @@ -108,10 +120,12 @@ void check_modf_result(T a, T fract, U ipart) } template -void test_round(T, const char* /* name */) +void test_round(T, const char* name ) { BOOST_MATH_STD_USING + std::cout << "Testing rounding with type " << name << std::endl; + for(int i = 0; i < 1000; ++i) { T arg = get_random (); @@ -223,7 +237,7 @@ int test_main(int, char* []) test_round(0.1, "double"); #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS test_round(0.1L, "long double"); - //test_round(boost::math::concepts::real_concept(0.1), "real_concept"); + test_round(boost::math::concepts::real_concept(0.1), "real_concept"); #else std::cout << " The long double tests have been disabled on this platform " "either because the long double overloads of the usual math functions are "