diff --git a/doc/sf_and_dist/factorials.qbk b/doc/sf_and_dist/factorials.qbk index 6827db461..7efb9ca96 100644 --- a/doc/sf_and_dist/factorials.qbk +++ b/doc/sf_and_dist/factorials.qbk @@ -155,7 +155,7 @@ rising_factorial(x, i) = [Gamma](x + i) / [Gamma](x); or -rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i) +rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i-1) Note that both /x/ and /i/ can be negative as well as positive. @@ -299,3 +299,4 @@ and (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt). ] + diff --git a/doc/sf_and_dist/html/index.html b/doc/sf_and_dist/html/index.html index bd897a5b2..487c4a32b 100644 --- a/doc/sf_and_dist/html/index.html +++ b/doc/sf_and_dist/html/index.html @@ -53,7 +53,7 @@ Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg
Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
@@ -488,7 +488,7 @@Last revised: February 03, 2010 at 09:52:16 GMT |
+Last revised: March 29, 2010 at 08:36:40 GMT |
@@ -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 815175e23..8af25c234 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html @@ -28,7 +28,7 @@ Algorithms
@@ -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 d698410b8..078cb9fb3 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html @@ -167,12 +167,12 @@
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 95b14f99e..b7a067f69 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html
@@ -80,7 +80,7 @@
@@ -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 c9459e3d4..74c614e76 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html @@ -137,7 +137,7 @@ than a dedicated Erlang Distribution.
@@ -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 44c3da14a..c5d916df7 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html
@@ -102,7 +102,7 @@
@@ -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 8b8a08210..8fa7f4981 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/laplace_dist.html
@@ -81,7 +81,7 @@
@@ -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 7f52e4022..a4bd5a137 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html
@@ -79,7 +79,7 @@
@@ -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 2eac62b99..57f45dcc4 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
@@ -87,12 +87,12 @@
@@ -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 f126549b9..2a9897c94 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html
@@ -86,7 +86,7 @@
@@ -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 204bda6c8..aa5ec4388 100644
--- a/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html
+++ b/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html
@@ -128,7 +128,7 @@
@@ -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 3cb7e2325..b2bd81a57 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/future.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/future.html @@ -27,7 +27,7 @@ Extras/Future Directions- + Adding Additional Location and Scale Parameters
@@ -55,7 +55,7 @@ functions.- + An "any_distribution" class
@@ -84,7 +84,7 @@ use case: this needs more investigation.- + Higher Level Hypothesis Tests
@@ -104,7 +104,7 @@ expected_mean.- + Integration With Statistical Accumulators
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html index 46cc5e0a6..acf13921f 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -498,7 +498,7 @@ Probability of getting between 4 and 4 answers right by guessing is 0.2252- + Using Binomial distribution moments
@@ -535,7 +535,7 @@ Skewness is 0.2887- + Quantiles
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html index 9e9ddc81b..b5d436045 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -139,7 +139,7 @@ _____________________________________________ is between 0.00551 and 0.00729.
- + Confidence intervals as a function of the number of observations
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html index e24485343..c31f140ee 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html @@ -332,7 +332,7 @@ error C3861: 'mybetad0': identifier not found- + Default arguments to distribution constructors.
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html index 750743250..b27eda3f9 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html @@ -177,7 +177,7 @@ Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999- + Controlling Error Handling from find_location
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index 08ef5e3ad..143ff0606 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -62,7 +62,7 @@- + Using find_location and find_scale to meet dispensing and measurement specifications
@@ -246,7 +246,7 @@- + Using Cauchy-Lorentz instead of normal distribution
@@ -397,7 +397,7 @@- + Changing the scale or standard deviation
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html index ae8a981ec..1ec37a40c 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html @@ -179,7 +179,7 @@ Normal distribution with mean = 0 has fraction > -2, p = 0.999- + Controlling how Errors from find_scale are handled
diff --git a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html index 549f75206..346f6f46d 100644 --- a/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html @@ -32,7 +32,7 @@ illustrates their use.- + Traditional Tables
@@ -278,7 +278,7 @@
- + Standard deviations either side of the Mean
@@ -346,12 +346,12 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Some simple examples
- + Life of light bulbs
@@ -435,7 +435,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + How many onions?
@@ -494,7 +494,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Packing beef
@@ -703,7 +703,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740
- + Length of bolts
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html b/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html index 3f872fc89..ae6f723a2 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/c99.html @@ -27,7 +27,7 @@ C99 C Functions- + Supported C99 Functions
@@ -138,7 +138,7 @@ acosh(2); // integer argument is treated as a double, returns double.- + Quick Reference
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html index c704787b8..1b9747bb6 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1.html @@ -285,7 +285,7 @@
- + Usage Recomendations
- + Supported C99 Functions
@@ -440,7 +440,7 @@- + Supported TR1 Functions
@@ -579,7 +579,7 @@- + Currently Unsupported C99 Functions
@@ -650,7 +650,7 @@- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html index 086348656..9ad63b34c 100644 --- a/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html +++ b/doc/sf_and_dist/html/math_toolkit/extern_c/tr1_ref.html @@ -28,7 +28,7 @@ Reference- + Supported TR1 Functions
@@ -163,7 +163,7 @@ expint(2); // integer argument is treated as a double, returns double.- + Quick Reference
// [5.2.1.1] associated Laguerre polynomials: @@ -494,7 +494,7 @@ for the full template (header only) version of this function.- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/building.html b/doc/sf_and_dist/html/math_toolkit/main_overview/building.html index d51c483e0..de0d318ea 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/building.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/building.html @@ -28,7 +28,7 @@ the Library and its Examples and Tests- + Building the Library
@@ -93,7 +93,7 @@ building the sources. Boost.Build will do this automatically when appropriate.- + Building the Examples
@@ -104,7 +104,7 @@ the Boost headers are in your compilers #include search path.- + Building the Tests
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html index b1f99abee..a3e991df8 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html @@ -37,7 +37,7 @@
-Table 9. Supported/Tested Compilers
+Table 9. Supported/Tested Compilers
@@ -540,7 +540,7 @@
-Table 10. Unsupported Compilers
+Table 10. Unsupported Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html index ea21bab4a..005535d8e 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html @@ -28,7 +28,7 @@ File Structure - + boost/math
@@ -73,7 +73,7 @@- + boost/libs
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html b/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html index 1fd75a89c..8f4625d6b 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html @@ -27,7 +27,7 @@ Error Handling- + Quick Reference
@@ -132,7 +132,7 @@ the default action for each error shown in bold:-Table 1. Possible Actions for Domain Errors
+Table 1. Possible Actions for Domain Errors
@@ -207,7 +207,7 @@ -Table 2. Possible Actions for Pole Errors
+Table 2. Possible Actions for Pole Errors
@@ -282,7 +282,7 @@ -Table 3. Possible Actions for Overflow Errors
+Table 3. Possible Actions for Overflow Errors
@@ -357,7 +357,7 @@ -Table 4. Possible Actions for Underflow Errors
+Table 4. Possible Actions for Underflow Errors
@@ -432,7 +432,7 @@ -Table 5. Possible Actions for Denorm Errors
+Table 5. Possible Actions for Denorm Errors
@@ -507,7 +507,7 @@ -Table 6. Possible Actions for Rounding Errors
+Table 6. Possible Actions for Rounding Errors
@@ -582,7 +582,7 @@ -Table 7. Possible Actions for Internal Evaluation +
Table 7. Possible Actions for Internal Evaluation Errors
@@ -659,7 +659,7 @@
-Table 8. Possible Actions for Indeterminate Result +
Table 8. Possible Actions for Indeterminate Result Errors
@@ -737,7 +737,7 @@
- + Rationale
- + 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 0d07b92f5..faa49f50e 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html @@ -31,7 +31,7 @@- + Boost-1.41.0
- + 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 268120db3..ac49d14d6 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html @@ -30,7 +30,7 @@ This library is divided into three interconnected parts:- + Statistical Distributions
@@ -56,7 +56,7 @@ tests.- + Mathematical Special Functions
@@ -83,7 +83,7 @@ double.- + Implementation Toolkit
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html b/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html index 02743912c..9b5dbfcb1 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html @@ -31,7 +31,7 @@ as handy shortcuts for common navigation tasks.- + Shortcuts
diff --git a/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html b/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html index 0e93bbead..bedd9db9e 100644 --- a/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html +++ b/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html @@ -286,7 +286,7 @@- + Usage Recomendations
@@ -338,7 +338,7 @@- + Supported C99 Functions
@@ -442,7 +442,7 @@- + Supported TR1 Functions
@@ -581,7 +581,7 @@- + Currently Unsupported C99 Functions
@@ -652,7 +652,7 @@- + Currently Unsupported TR1 Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html index 39772176b..bda1b56a3 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html @@ -35,7 +35,7 @@ in this respect).-Table 48. Performance Comparison of Various Windows Compilers
+Table 48. Performance Comparison of Various Windows Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html index 3ec126833..986a839a3 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html @@ -46,7 +46,7 @@ - + Comparison to GSL-1.13 and Cephes
@@ -345,7 +345,7 @@@@ -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 e73af06d6..7feba3e73 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html @@ -33,7 +33,7 @@ penalty for using the library in debug mode can be quite large.
-Table 47. Performance Comparison of Release and Debug Settings
+Table 47. Performance Comparison of Release and Debug Settings
diff --git a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html index f95543b13..8118a5e8c 100644 --- a/doc/sf_and_dist/html/math_toolkit/perf/tuning.html +++ b/doc/sf_and_dist/html/math_toolkit/perf/tuning.html @@ -234,7 +234,7 @@ highly vectorisable processors in the future. -Table 49. A Comparison of Polynomial Evaluation Methods
+Table 49. A Comparison of Polynomial Evaluation Methods
@@ -634,7 +634,7 @@ tutorial. -Table 50. Performance Comparison with and Without Internal +
Table 50. Performance Comparison with and Without Internal Promotion to long double
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html index f449a2245..8ac5435df 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html @@ -55,7 +55,7 @@ can take have the following meanings:
- + real
@@ -93,7 +93,7 @@ = 68.1584.
- + integer_round_outwards
@@ -151,7 +151,7 @@ in each tail.
- + integer_round_inwards
@@ -214,7 +214,7 @@ in each tail.
- + integer_round_down
@@ -222,7 +222,7 @@ or a lower quantile.
- + integer_round_up
@@ -230,7 +230,7 @@ a lower quantile.
- + integer_round_nearest
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html index 6883d196e..644bc9c19 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html @@ -39,7 +39,7 @@
- + Available Actions When an Error is Raised
@@ -62,7 +62,7 @@ The various enumerated values have the following meanings:- + throw_on_error
@@ -174,7 +174,7 @@
- + errno_on_error
@@ -287,7 +287,7 @@
- + ignore_error
@@ -400,7 +400,7 @@
- + user_error
@@ -449,7 +449,7 @@ here.
- + Kinds of Error Raised
@@ -688,7 +688,7 @@- + Examples
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html index 0b136f67e..73bb7bce9 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html @@ -84,7 +84,7 @@
- + Examples
diff --git a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html index a49180d91..69a0bb44c 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html @@ -61,7 +61,7 @@ then you can do so by defining various macros in boost/math/tools/user.hpp.
- + BOOST_MATH_DOMAIN_ERROR_POLICY
@@ -71,7 +71,7 @@
ignore_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 2fc40ba8d..c6e533c7f 100644 --- a/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html +++ b/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html @@ -177,7 +177,7 @@ base your comparisons on CDF's instead.
- + Other Rounding Policies are Available
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html index 146f24e71..9686631e6 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html @@ -28,7 +28,7 @@ of the First and Second Kinds- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type cyl_neumann(T1 v, T2 x, const Policy&);- + Description
@@ -110,7 +110,7 @@
![]()
- + Testing
@@ -119,7 +119,7 @@ (with all the special case handling removed).
- + Accuracy
@@ -135,7 +135,7 @@ zero error. All values are relative errors in units of epsilon.
-Table 37. Errors Rates in cyl_neumann
+Table 37. Errors Rates in cyl_neumann
@@ -494,7 +494,7 @@ were found. - + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html index daf50ff4a..adca03a19 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html @@ -28,7 +28,7 @@ Overview
- + Ordinary Bessel Functions
@@ -103,7 +103,7 @@ and is known as either a Bessel![]()
- + Modified Bessel Functions
@@ -167,7 +167,7 @@ respectively:![]()
- + Spherical Bessel Functions
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html index e18afa97c..b20d7a6a2 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html @@ -28,7 +28,7 @@ Functions of the First and Second Kinds- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type cyl_bessel_k(T1 v, T2 x, const Policy&);- + Description
@@ -109,7 +109,7 @@
![]()
- + Testing
@@ -118,7 +118,7 @@ (with all the special case handling removed).
- + Accuracy
@@ -129,7 +129,7 @@ zero error. All values are relative errors in units of epsilon.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html b/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html index 124ad279f..7712efa1d 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html +++ b/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html @@ -28,7 +28,7 @@ Bessel Functions of the First and Second Kinds
- + Synopsis
template <class T1, class T2> @@ -44,7 +44,7 @@ calculated-result-type sph_neumann(unsigned v, T2 x, const Policy&);- + Description
@@ -97,7 +97,7 @@ for small x:
![]()
- + Testing
@@ -106,7 +106,7 @@ for small x: implementation (with all the special case handling removed).
- + Accuracy
@@ -116,7 +116,7 @@ for small x: refer to these functions for accuracy data.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html index e9638ed23..389197bd7 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html @@ -28,7 +28,7 @@ of the First Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -123,7 +123,7 @@
- + Accuracy
@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.
-Table 41. Errors Rates in the Elliptic Integrals of the +
Table 41. Errors Rates in the Elliptic Integrals of the First Kind
@@ -237,7 +237,7 @@
- + Testing
@@ -247,7 +247,7 @@ this implementation.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html index 2d63fd3ab..1e75ac013 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html @@ -28,7 +28,7 @@ of the Second Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -123,7 +123,7 @@
- + Accuracy
@@ -134,7 +134,7 @@ All values are relative errors in units of epsilon.
-Table 42. Errors Rates in the Elliptic Integrals of the +
Table 42. Errors Rates in the Elliptic Integrals of the Second Kind
@@ -237,7 +237,7 @@
- + Testing
@@ -247,7 +247,7 @@ this implementation.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html index 78fa03499..7b074a52f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html @@ -28,7 +28,7 @@ of the Third Kind - Legendre Form
- + Synopsis
@@ -55,7 +55,7 @@ }} // namespaces
- + Description
@@ -129,7 +129,7 @@
- + Accuracy
@@ -140,7 +140,7 @@ All values are relative errors in units of epsilon.
-Table 43. Errors Rates in the Elliptic Integrals of the +
Table 43. Errors Rates in the Elliptic Integrals of the Third Kind
@@ -243,7 +243,7 @@
- + Testing
@@ -253,7 +253,7 @@ this implementation.
- + Implementation
@@ -291,7 +291,7 @@
Π(n, φ+mπ, k) = Π(n, φ, k) ; n > 1 - [1] + [1]
are used to move φ to the range [0, π/2]. @@ -311,7 +311,7 @@
-[1] +
[1] I haven't been able to find a literature reference for this relation, but it appears to be the convention used by Mathematica. Intuitively the first 2 * m * Π(n, k) terms cancel out as the diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html index cc758a4a4..90c921cee 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html @@ -28,7 +28,7 @@ Integrals - Carlson Form
- + Synopsis
@@ -100,7 +100,7 @@ }} // namespaces
- + Description
@@ -236,7 +236,7 @@
![]()
- + Testing
@@ -265,7 +265,7 @@ to verify their correctness: see the above Carlson paper for details.
- + Accuracy
@@ -276,7 +276,7 @@ All values are relative errors in units of epsilon.
-Table 40. Errors Rates in the Carlson Elliptic Integrals
+Table 40. Errors Rates in the Carlson Elliptic Integrals
@@ -419,7 +419,7 @@ - + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html index bcd723f4b..d0282d8ba 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html +++ b/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html @@ -61,14 +61,14 @@ Elliptic integral.
- + Notation
All variables are real numbers unless otherwise noted.
- + Definition
@@ -257,7 +257,7 @@
- + Duplication Theorem
@@ -269,7 +269,7 @@![]()
- + Carlson's Formulas
@@ -287,7 +287,7 @@![]()
- + Numerical Algorithms
@@ -301,7 +301,7 @@ integrals with satisfactory precisions.- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html index 76a44087a..e6ec9a2ef 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html @@ -28,7 +28,7 @@ Integral Ei
- + Synopsis
@@ -63,7 +63,7 @@
- + Description
template <class T> @@ -83,7 +83,7 @@![]()
- + Accuracy
@@ -95,7 +95,7 @@ error.
-Table 46. Errors In the Function expint(z)
+Table 46. Errors In the Function expint(z)
@@ -207,7 +207,7 @@ slightly over the range [4,6]. - + Testing
@@ -222,7 +222,7 @@ check.
- + Implementation
@@ -253,7 +253,7 @@ [-1,1]. Note that while the rational approximation over [0,6] converges rapidly to the minimax solution it is rather ill-conditioned in practice. Cody and Thacher - [2] + [2] experienced the same issue and converted the polynomials into Chebeshev form to ensure stable computation. By experiment we found that the polynomials are just as stable in polynomial as Chebyshev form, provided @@ -284,7 +284,7 @@
-[2] +
[2] W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations for the exponential integral E1(x), Math. Comp. 22 (1968), 641-649, and W. J. Cody and H. C. Thacher, Jr., Chebyshev approximations for diff --git a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html index 673eaebe9..46c4a7533 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html +++ b/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html @@ -28,7 +28,7 @@ Integral En
- + Synopsis
@@ -63,7 +63,7 @@
- + Description
template <class T> @@ -83,7 +83,7 @@![]()
- + Accuracy
@@ -94,7 +94,7 @@ the one shown will have effectively zero error.
-Table 45. Errors In the Function expint(n, z)
+Table 45. Errors In the Function expint(n, z)
@@ -225,7 +225,7 @@ - + Testing
@@ -240,7 +240,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html index 323b07e1b..4f56ac6bf 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html @@ -65,7 +65,7 @@ if the result is too large to represent in type T.
- + Accuracy
@@ -74,14 +74,14 @@ function for larger arguments.
- + Testing
The spot tests for the binomial coefficients use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html index 1b336b6f9..e7a8146ba 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html @@ -64,7 +64,7 @@ of i! is possible.
- + Accuracy
@@ -72,14 +72,14 @@ so error rates should be no more than a couple of epsilon higher.
- + Testing
The spot tests for the double factorial use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html index 21d4f3175..7fb27eeb6 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html @@ -27,7 +27,7 @@ Factorial
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
template <class T> @@ -112,7 +112,7 @@ the size of further tables that depend on the factorials.- + Accuracy
@@ -121,7 +121,7 @@ will be the same as for tgamma.
- + Testing
@@ -130,7 +130,7 @@ function handle those cases already.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html index 1eae85838..afc74a265 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html @@ -76,7 +76,7 @@ the type of the result is T.
- + Accuracy
@@ -84,14 +84,14 @@ function.
- + Testing
The spot tests for the falling factorials use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html index 161cbefd4..f040d4128 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html +++ b/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html @@ -54,7 +54,7 @@ or
- rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i) + rising_factorial(x, i) = x(x+1)(x+2)(x+3)...(x+i-1)
Note that both x and i can be @@ -80,7 +80,7 @@ the type of the result is T.
- + Accuracy
@@ -88,14 +88,14 @@ function.
- + Testing
The spot tests for the rising factorials use data generated by functions.wolfram.com.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html index 1376b63f8..db8498b3b 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html @@ -67,14 +67,14 @@
![]()
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -90,7 +90,7 @@ to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html index 29c192a92..0c74aa9ed 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html @@ -62,14 +62,14 @@
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -85,7 +85,7 @@ to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html index ef52c9b1d..bcc008e1f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html +++ b/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html @@ -76,14 +76,14 @@ denoting
![]()
- + Accuracy
Generally accuracy is to within 1 or 2 epsilon across all supported platforms.
- + Testing
@@ -99,7 +99,7 @@ denoting to at least 50 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html index 2da63214a..5f98856c8 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html @@ -71,7 +71,7 @@
![]()
- + Accuracy
@@ -79,7 +79,7 @@ should have approximately 2 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html b/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html index 6a9767141..585383beb 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html @@ -32,7 +32,7 @@ computes the compile-time integral power of a run-time base.
- + Synopsis
@@ -49,7 +49,7 @@ }}
- + Rationale and Usage
@@ -91,7 +91,7 @@ Only 3 different products were actually computed.- + Return Type
- + Policies
@@ -126,7 +126,7 @@
- + Error Handling
@@ -231,7 +231,7 @@ double result = pow<-5>(base);- + Acknowledgements
@@ -242,7 +242,7 @@ improving the implementation.
- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html index db498d62e..5c3873d77 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html @@ -80,7 +80,7 @@
![]()
- + Accuracy
@@ -88,7 +88,7 @@ should have approximately 1 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html index 0aae84951..ec74b5c3c 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html @@ -58,7 +58,7 @@ in such a representable.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html index c1e9eaa3c..f07f1deb3 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html @@ -93,7 +93,7 @@
![]()
- + Accuracy
@@ -101,7 +101,7 @@ should have approximately 1 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html index 1836fff60..3d36dc523 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html @@ -74,14 +74,14 @@
![]()
- + Accuracy
Should have approximately 2-3 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html index 224ddad21..b0e58f1e7 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html +++ b/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html @@ -76,7 +76,7 @@
![]()
- + Accuracy
@@ -84,7 +84,7 @@ should have approximately 3 epsilon accuracy.
- + Testing
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html index 3ef54db90..2b6663941 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html @@ -28,7 +28,7 @@ of the Incomplete Beta Function
- + Synopsis
@@ -49,7 +49,7 @@ }} // namespaces
- + Description
@@ -76,14 +76,14 @@
- + Accuracy
Almost identical to the incomplete beta function ibeta.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html index 0cd629c9e..d31e2fc92 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html @@ -27,7 +27,7 @@ Beta
- + Synopsis
@@ -48,7 +48,7 @@ }} // namespaces
- + Description
@@ -86,7 +86,7 @@ type calculation rules when T1 and T2 are different types.
- + Accuracy
@@ -98,7 +98,7 @@ zero error.
-Table 22. Peak Errors In the Beta Function
+Table 22. Peak Errors In the Beta Function
@@ -244,7 +244,7 @@ very small. - + Testing
@@ -253,7 +253,7 @@ at 1000-bit precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html index da84f5186..a5a8b26e5 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html @@ -28,7 +28,7 @@ Beta Functions
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -163,7 +163,7 @@
![]()
- + Accuracy
@@ -182,7 +182,7 @@ with the wider exponent range of the long double types.
-Table 23. Errors In the Function ibeta(a,b,x)
+Table 23. Errors In the Function ibeta(a,b,x)
@@ -369,7 +369,7 @@ -Table 24. Errors In the Function ibetac(a,b,x)
+Table 24. Errors In the Function ibetac(a,b,x)
@@ -536,7 +536,7 @@ -Table 25. Errors In the Function beta(a, b, x)
+Table 25. Errors In the Function beta(a, b, x)
@@ -703,7 +703,7 @@ -Table 26. Errors In the Function betac(a,b,x)
+Table 26. Errors In the Function betac(a,b,x)
@@ -870,7 +870,7 @@ - + Testing
@@ -888,7 +888,7 @@ have test data that is fully independent of the code.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html index 41b8e484b..45e609689 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html @@ -87,7 +87,7 @@ }} // namespaces
- + Description
@@ -323,7 +323,7 @@
- + Accuracy
@@ -335,7 +335,7 @@ or
1.- + Testing
- + Implementation of ibeta_inv and ibetac_inv
@@ -527,7 +527,7 @@ rapidly converges on the true value.- + Implementation of inverses on the a and b parameters
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html index 7f5ae30a9..fe42f21fe 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html @@ -28,7 +28,7 @@ Functions- + Synopsis
@@ -69,7 +69,7 @@
- + Description
template <class T> @@ -106,7 +106,7 @@![]()
- + Accuracy
@@ -119,7 +119,7 @@ the one shown will have effectively zero error.
-Table 27. Errors In the Function erf(z)
+Table 27. Errors In the Function erf(z)
@@ -325,7 +325,7 @@ -Table 28. Errors In the Function erfc(z)
+Table 28. Errors In the Function erfc(z)
@@ -531,7 +531,7 @@ - + Testing
@@ -546,7 +546,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html index f1b24283f..f1bf1b980 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html @@ -28,7 +28,7 @@ Inverses
- + Synopsis
@@ -69,7 +69,7 @@
- + Description
template <class T> @@ -103,7 +103,7 @@![]()
- + Accuracy
@@ -113,7 +113,7 @@ error functions.
- + Testing
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html index 4f4551fa0..56293e355 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html @@ -27,7 +27,7 @@ Digamma
- + Synopsis
@@ -48,7 +48,7 @@ }} // namespaces
- + Description
@@ -82,7 +82,7 @@ T otherwise.
- + Accuracy
@@ -270,7 +270,7 @@ absolute error will remain very low.
- + Testing
@@ -280,7 +280,7 @@ see below).
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html index 664063cd3..be7ce3e61 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html @@ -28,7 +28,7 @@ of the Incomplete Gamma Function
- + Synopsis
@@ -49,7 +49,7 @@ }} // namespaces
- + Description
@@ -80,7 +80,7 @@ otherwise the return type is simply T1.
- + Accuracy
@@ -88,7 +88,7 @@ refer to the documentation for that function for more information.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html index ae640651e..05db75bb9 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html @@ -51,7 +51,7 @@ }} // namespaces
- + Description
template <class T1, class T2> @@ -117,7 +117,7 @@![]()
- + Accuracy
@@ -127,7 +127,7 @@ effectively zero error.
-Table 16. Errors In the Function tgamma_delta_ratio(a, delta)
+Table 16. Errors In the Function tgamma_delta_ratio(a, delta)
@@ -230,7 +230,7 @@ -Table 17. Errors In the Function tgamma_ratio(a, +
Table 17. Errors In the Function tgamma_ratio(a, b)
@@ -329,7 +329,7 @@
- + Testing
@@ -338,7 +338,7 @@ a deliberately naive calculation of Γ(x)/Γ(y).
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html index d2d00417c..682b6fda1 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html @@ -28,7 +28,7 @@ Functions
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -160,7 +160,7 @@
![]()
- + Accuracy
@@ -185,7 +185,7 @@ All values are in units of epsilon.
-Table 18. Errors In the Function gamma_p(a,z)
+Table 18. Errors In the Function gamma_p(a,z)
@@ -372,7 +372,7 @@ -Table 19. Errors In the Function gamma_q(a,z)
+Table 19. Errors In the Function gamma_q(a,z)
@@ -558,7 +558,7 @@ -Table 20. Errors In the Function tgamma_lower(a,z)
+Table 20. Errors In the Function tgamma_lower(a,z)
@@ -693,7 +693,7 @@ -Table 21. Errors In the Function tgamma(a,z)
+Table 21. Errors In the Function tgamma(a,z)
@@ -828,7 +828,7 @@ - + Testing
@@ -844,7 +844,7 @@ fraction (see below) is unstable for small a and z.
- + Implementation
@@ -1013,7 +1013,7 @@ by Temme (see references below).
- + References
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html index 07b4e6d7a..e3e8c9dab 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html @@ -28,7 +28,7 @@ Gamma Function Inverses
- + Synopsis
@@ -67,7 +67,7 @@ }} // namespaces
- + Description
@@ -173,7 +173,7 @@ 0.
- + Accuracy
@@ -187,7 +187,7 @@ functions.
- + Testing
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html index 386d6cf7b..1403af6f2 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html @@ -27,7 +27,7 @@ Log Gamma
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
@@ -98,7 +98,7 @@ T otherwise.
- + Accuracy
@@ -349,7 +349,7 @@
- + Testing
@@ -360,7 +360,7 @@ Random tests in key problem areas are also used.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html index 9d1347295..962f20c59 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html @@ -27,7 +27,7 @@ Gamma
- + Synopsis
@@ -54,7 +54,7 @@ }} // namespaces
- + Description
template <class T> @@ -129,7 +129,7 @@
- + Accuracy
@@ -384,7 +384,7 @@
- + Testing
@@ -399,7 +399,7 @@ a lanczos approximation accurate to around 100 decimal digits.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html index 2f87f043c..5036f8c75 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html @@ -27,7 +27,7 @@ Hermite Polynomials
- + Synopsis
@@ -51,7 +51,7 @@ }} // namespaces
- + Description
- + Accuracy
@@ -146,7 +146,7 @@ zero error.
-Table 34. Peak Errors In the Hermite Polynomial
+Table 34. Peak Errors In the Hermite Polynomial
@@ -253,7 +253,7 @@ is very close to a root. - + Testing
@@ -263,7 +263,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html index 7b14d078e..bf628771a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html @@ -28,7 +28,7 @@ Associated) Polynomials
- + Synopsis
@@ -62,7 +62,7 @@ }} // namespaces
- + Description
- + Accuracy
@@ -220,7 +220,7 @@ zero error.
-Table 32. Peak Errors In the Laguerre Polynomial
+Table 32. Peak Errors In the Laguerre Polynomial
@@ -320,7 +320,7 @@ -Table 33. Peak Errors In the Associated Laguerre +
Table 33. Peak Errors In the Associated Laguerre Polynomial
@@ -429,7 +429,7 @@ is very close to a root.
- + Testing
@@ -439,7 +439,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html index cadf96039..e0a879a4a 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html @@ -28,7 +28,7 @@ Associated) Polynomials
- + Synopsis
@@ -84,7 +84,7 @@
- + Description
template <class T> @@ -292,7 +292,7 @@- + Accuracy
@@ -302,7 +302,7 @@ zero error.
-Table 29. Peak Errors In the Legendre P Function
+Table 29. Peak Errors In the Legendre P Function
@@ -431,7 +431,7 @@ -Table 30. Peak Errors In the Associated Legendre +
Table 30. Peak Errors In the Associated Legendre P Function
@@ -533,7 +533,7 @@
-Table 31. Peak Errors In the Legendre Q Function
+Table 31. Peak Errors In the Legendre Q Function
@@ -675,7 +675,7 @@ given here. - + Testing
@@ -685,7 +685,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html index 70ef82fb7..c7b228772 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html +++ b/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html @@ -27,7 +27,7 @@ Spherical Harmonics
- + Synopsis
@@ -60,7 +60,7 @@ }} // namespaces
- + Description
@@ -155,7 +155,7 @@
![]()
- + Accuracy
@@ -170,7 +170,7 @@ All values are in units of epsilon.
-Table 35. Peak Errors In the Sperical Harmonic Functions
+Table 35. Peak Errors In the Sperical Harmonic Functions
@@ -276,7 +276,7 @@ arbitrarily large when the function is very close to a root. - + Testing
@@ -286,7 +286,7 @@ precision.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html index 482cf06a2..3a29b1b4f 100644 --- a/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html +++ b/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html @@ -27,7 +27,7 @@ Riemann Zeta Function
- + Synopsis
@@ -62,7 +62,7 @@
- + Description
template <class T> @@ -85,7 +85,7 @@![]()
- + Accuracy
@@ -97,7 +97,7 @@ shown will have effectively zero error.
-Table 44. Errors In the Function zeta(z)
+Table 44. Errors In the Function zeta(z)
@@ -234,7 +234,7 @@ - + Testing
@@ -249,7 +249,7 @@ check.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/status/compilers.html b/doc/sf_and_dist/html/math_toolkit/status/compilers.html index 74494e958..c2b1b1d6e 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/compilers.html +++ b/doc/sf_and_dist/html/math_toolkit/status/compilers.html @@ -37,7 +37,7 @@
-Table 55. Supported/Tested Compilers
+Table 55. Supported/Tested Compilers
@@ -540,7 +540,7 @@
-Table 56. Unsupported Compilers
+Table 56. Unsupported Compilers
diff --git a/doc/sf_and_dist/html/math_toolkit/status/history1.html b/doc/sf_and_dist/html/math_toolkit/status/history1.html index fee5ba55b..911e9462a 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/history1.html +++ b/doc/sf_and_dist/html/math_toolkit/status/history1.html @@ -30,7 +30,7 @@ - + Boost-1.41.0
- + 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 6146f050e..d4757fb6c 100644 --- a/doc/sf_and_dist/html/math_toolkit/status/issues.html +++ b/doc/sf_and_dist/html/math_toolkit/status/issues.html @@ -43,7 +43,7 @@ with it.- + tgamma
- @@ -51,7 +51,7 @@ be optimized any further? (low priority)
- + Incomplete Beta
- @@ -59,7 +59,7 @@ (medium priority).
- + Inverse Gamma
- @@ -67,7 +67,7 @@ is good enough (Medium Priority).
- + Polynomials
- @@ -77,7 +77,7 @@ not (Low Priority).
- + Elliptic Integrals
@@ -127,7 +127,7 @@
- + Inverse Hyperbolic Functions
@@ -137,7 +137,7 @@ is probably only an issue for very high precision types (Low Priority).- + Statistical distributions
@@ -146,7 +146,7 @@ for very large degrees of freedom?- + Feature Requests
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html index ddc5d8acf..d9beea755 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html @@ -28,7 +28,7 @@ Evaluation
- + Synopsis
@@ -78,7 +78,7 @@ }}} // namespaces
- + Description
@@ -178,7 +178,7 @@ a continued fraction for convergence.
- + Implementation
@@ -188,7 +188,7 @@ Lentz, W.J. 1976, Applied Optics, vol. 15, pp. 668-671.
- + Examples
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html index 0694ea173..c5edc65e9 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html @@ -28,7 +28,7 @@ Constants
- + Synopsis
@@ -59,7 +59,7 @@ }}} // namespaces
- + Description
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html index 1efa55bb3..23e789df2 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html @@ -28,7 +28,7 @@ Minima
- + synopsis
@@ -45,7 +45,7 @@ std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, boost::uintmax_t& max_iter);
- + Description
@@ -88,7 +88,7 @@ the abscissa at the minima and the value of f(x) at the minima.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html index 8d3b642bf..d8b4acd97 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html @@ -28,7 +28,7 @@ and Rational Function Evaluation
- + synopsis
@@ -79,7 +79,7 @@ V evaluate_rational(const T* num, const U* denom, V z, unsigned count);
- + Description
@@ -193,7 +193,7 @@ evaluation with compile-time array sizes may offer slightly better performance.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html index fe1e1c733..b957358e7 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html @@ -28,7 +28,7 @@ With Derivatives
- + Synopsis
@@ -61,7 +61,7 @@ }}} // namespaces
- + Description
- + Newton Raphson Method
@@ -196,7 +196,7 @@
- + Halley's Method
@@ -220,7 +220,7 @@
- + Schroeder's Method
@@ -244,7 +244,7 @@ iteration.- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html index 6e08bb64e..cf7e72102 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html @@ -28,7 +28,7 @@ Without Derivatives
- + Synopsis
@@ -141,7 +141,7 @@ }}} // namespaces
- + Description
@@ -559,7 +559,7 @@ as soon as both ends of the interval round to the same nearest integer.
- + Implementation
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html index 9eb0aabaa..c0c6c347c 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html @@ -28,7 +28,7 @@ Series Evaluation
- + Synopsis
@@ -70,7 +70,7 @@ }}} // namespaces
- + Description
@@ -127,7 +127,7 @@ summation in this way.
- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html index a77082988..0fa5302cc 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html @@ -28,7 +28,7 @@ Error and Testing
- + Synopsis
@@ -45,7 +45,7 @@ test_result<see-below> test(const A& a, F1 test_func, F2 expect_func);
- + Description
template <class T> @@ -165,7 +165,7 @@ is mainly a debugging/development aid (and a good place for a breakpoint).- + Example
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html index 0fbc92852..ac46d9ea1 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html @@ -27,7 +27,7 @@ Polynomials
- + Synopsis
@@ -103,7 +103,7 @@ }}} // namespaces
- + Description
diff --git a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html index a22680de8..d7fcd5673 100644 --- a/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html +++ b/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html @@ -46,7 +46,7 @@
- + Synopsis
namespace boost{ namespace math{ namespace tools{ @@ -147,7 +147,7 @@ }}} // namespaces- + Description
- + Example 1: Output Data for Graph Plotting
@@ -211,7 +211,7 @@![]()
- + Example 2: Creating Test Data
@@ -375,7 +375,7 @@ used by default as it's rather hard on the compiler when the table is large.- + Example 3: Profiling a Continued Fraction for Convergence and Accuracy
@@ -481,7 +481,7 @@ of a and z.- + reference
diff --git a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html index f2303fcbc..7e536945b 100644 --- a/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html +++ b/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html @@ -42,7 +42,7 @@ behaves just like a built in floating point type.
- + Basic Arithmetic Requirements
@@ -1034,7 +1034,7 @@- + Standard Library Support Requirements
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html b/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html index 034aca766..3540d8163 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/fpclass.html @@ -28,7 +28,7 @@ Infinities and NaN's- + Synopsis
#define FP_ZERO /* implementation specific value */ @@ -58,7 +58,7 @@ to use these functions.- + Description
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html index ea11a7727..160685a05 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_advance.html @@ -32,7 +32,7 @@ number of ULP.
- + Synopsis
@@ -50,7 +50,7 @@ }} // namespaces
- + Description - float_advance
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html index 63be4c32c..ae01676fb 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_distance.html @@ -34,7 +34,7 @@ different.- + Synopsis
@@ -52,7 +52,7 @@ }} // namespaces
- + Description - float_distance
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html index 7754da8fd..edcf49d2e 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_next.html @@ -28,7 +28,7 @@ the Next Greater Representable Value (float_next)- + Synopsis
@@ -46,7 +46,7 @@ }} // namespaces
- + Description - float_next
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html index 77c42cca8..93d04845e 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/float_prior.html @@ -28,7 +28,7 @@ the Next Smaller Representable Value (float_prior)- + Synopsis
@@ -46,7 +46,7 @@ }} // namespaces
- + Description - float_prior
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html b/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html index 93f7b1925..b11d32bae 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/next_float/nextafter.html @@ -28,7 +28,7 @@ Next Representable Value in a Specific Direction (nextafter)- + Synopsis
@@ -46,7 +46,7 @@ }} // namespaces
- + Description - nextafter
@@ -76,7 +76,7 @@ returns an overflow_error.- + Examples - nextafter
diff --git a/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html b/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html index 4492aaaa6..0445b31e3 100644 --- a/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html +++ b/doc/sf_and_dist/html/math_toolkit/utils/sign_functions.html @@ -28,7 +28,7 @@ Functions- + Synopsis
@@ -52,7 +52,7 @@ }} // namespaces
- + Description
template<class T>