diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index 8a04825f1..a42093b66 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -3,7 +3,7 @@ Chapter 22. Backgrounders - + @@ -27,7 +27,7 @@ Chapter 22. Backgrounders

Table of Contents

-
+
Additional Implementation Notes
Tutorial: How to Write a New diff --git a/doc/html/constants.html b/doc/html/constants.html index 718ed2246..789b582a8 100644 --- a/doc/html/constants.html +++ b/doc/html/constants.html @@ -3,7 +3,7 @@ Chapter 4. Mathematical Constants - + @@ -27,7 +27,7 @@ Chapter 4. Mathematical Constants

Table of Contents

-
+
Introduction
Tutorial
diff --git a/doc/html/cstdfloat.html b/doc/html/cstdfloat.html index b8397b945..40441cd98 100644 --- a/doc/html/cstdfloat.html +++ b/doc/html/cstdfloat.html @@ -3,7 +3,7 @@ Chapter 3. Specified-width floating-point typedefs - + @@ -27,7 +27,7 @@ Chapter 3. Specified-width floating-point typedefs

Table of Contents

-
+
Overview
Rationale
Exact-Width Floating-Point diff --git a/doc/html/dist.html b/doc/html/dist.html index 60fee7208..2a543d4e6 100644 --- a/doc/html/dist.html +++ b/doc/html/dist.html @@ -3,7 +3,7 @@ Chapter 5. Statistical Distributions and Functions - + @@ -27,7 +27,7 @@ Chapter 5. Statistical Distributions and Functions

Table of Contents

-
+
Statistical Distributions Tutorial
Overview of Statistical diff --git a/doc/html/extern_c.html b/doc/html/extern_c.html index 581adbfbb..d56f92971 100644 --- a/doc/html/extern_c.html +++ b/doc/html/extern_c.html @@ -3,7 +3,7 @@ Chapter 9. TR1 and C99 external "C" Functions - + @@ -27,7 +27,7 @@ Chapter 9. TR1 and C99 external "C" Functions

Table of Contents

-
+
C99 and TR1 C Functions Overview
C99 C Functions
TR1 C Functions Quick Reference
diff --git a/doc/html/gcd_lcm.html b/doc/html/gcd_lcm.html index 510bc1436..491930fd5 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -3,7 +3,7 @@ Chapter 17. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - + diff --git a/doc/html/index.html b/doc/html/index.html index e42591191..351ab73bc 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -3,7 +3,7 @@ Math Toolkit 2.11.0 - + @@ -96,7 +96,7 @@ This manual is also available in

Table of Contents

-
+
1. Overview
2. Floating Point Utilities
3. Specified-width floating-point typedefs
@@ -127,7 +127,7 @@ This manual is also available in -

Last revised: October 26, 2019 at 09:59:59 GMT

+

Last revised: November 12, 2019 at 09:19:07 GMT


diff --git a/doc/html/indexes.html b/doc/html/indexes.html index fa713641f..01b465927 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -3,7 +3,7 @@ Chapter 24. Indexes - + @@ -27,7 +27,7 @@
Chapter 24. Indexes

Table of Contents

-
+
Function Index
Class Index
Typedef Index
diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index be2a55b4e..3e8f64c37 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -3,7 +3,7 @@ Function Index - + @@ -24,7 +24,7 @@

-Function Index

+Function Index

1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

@@ -3064,6 +3064,14 @@

signbit

+
  • +

    simple_ordinary_least_squares

    + +
  • +
  • +

    simple_ordinary_least_squares_with_R_squared

    + +
  • sinc_pi

  • sinhc_pi

  • sin_pi

  • diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index 4e9dea719..68229ed4f 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -3,7 +3,7 @@ Class Index - + @@ -24,7 +24,7 @@

    -Class Index

    +Class Index

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

    diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index baa52c531..18ab5c57d 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -3,7 +3,7 @@ Typedef Index - + @@ -24,7 +24,7 @@

    -Typedef Index

    +Typedef Index

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

    diff --git a/doc/html/indexes/s04.html b/doc/html/indexes/s04.html index a78d5288c..5d0a24683 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -3,7 +3,7 @@ Macro Index - + @@ -24,7 +24,7 @@

    -Macro Index

    +Macro Index

    B F

    diff --git a/doc/html/indexes/s05.html b/doc/html/indexes/s05.html index b5fa412af..2efc01e7a 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -3,7 +3,7 @@ Index - + @@ -23,7 +23,7 @@

    -Index

    +Index

    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    @@ -2499,7 +2499,6 @@
  • Testing

  • Use With User-Defined Types

  • Using Boost.Math with High-Precision Floating-Point Libraries

  • -
  • Using Boost.Multiprecision

  • Using without expression templates for Boost.Test and others

  • Why use a high-precision library rather than built-in floating-point types?

  • @@ -5996,6 +5995,14 @@
  • +

    Linear Regression

    +
    +
  • +
  • Linpack Benchmark

    Table of Contents

    -
    +
    Overview
    Internal tools
    diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index bebd64331..40cd5a97f 100644 --- a/doc/html/interpolation.html +++ b/doc/html/interpolation.html @@ -3,7 +3,7 @@ Chapter 12. Interpolation - + @@ -27,7 +27,7 @@ Chapter 12. Interpolation

    Table of Contents

    -
    +
    Cardinal Cubic B-spline interpolation
    Cardinal Quadratic B-spline diff --git a/doc/html/inverse_complex.html b/doc/html/inverse_complex.html index 7be27d8c9..36605a0d5 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -3,7 +3,7 @@ Chapter 14. Complex Number Functions - + @@ -27,7 +27,7 @@ Chapter 14. Complex Number Functions

    Table of Contents

    -
    +
    Implementation and Accuracy
    asin
    diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index dda44858a..659c59017 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -3,7 +3,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acknowledgements.html b/doc/html/math_toolkit/acknowledgements.html index 1118cf248..fc93a0746 100644 --- a/doc/html/math_toolkit/acknowledgements.html +++ b/doc/html/math_toolkit/acknowledgements.html @@ -3,7 +3,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index b4e6b2e69..b42a8bf55 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -3,7 +3,7 @@ acos - + diff --git a/doc/html/math_toolkit/acosh.html b/doc/html/math_toolkit/acosh.html index 777bef9d4..b3d829af3 100644 --- a/doc/html/math_toolkit/acosh.html +++ b/doc/html/math_toolkit/acosh.html @@ -3,7 +3,7 @@ acosh - + diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index 7de8925cf..3a75a9bdb 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -3,7 +3,7 @@ Airy Functions - + @@ -26,7 +26,7 @@ -
    +
    Airy Ai Function
    Airy Bi Function
    Airy Ai' Function
    diff --git a/doc/html/math_toolkit/airy/ai.html b/doc/html/math_toolkit/airy/ai.html index 16a274751..aa715ad0f 100644 --- a/doc/html/math_toolkit/airy/ai.html +++ b/doc/html/math_toolkit/airy/ai.html @@ -3,7 +3,7 @@ Airy Ai Function - + diff --git a/doc/html/math_toolkit/airy/aip.html b/doc/html/math_toolkit/airy/aip.html index 2f43f0765..d5477148b 100644 --- a/doc/html/math_toolkit/airy/aip.html +++ b/doc/html/math_toolkit/airy/aip.html @@ -3,7 +3,7 @@ Airy Ai' Function - + diff --git a/doc/html/math_toolkit/airy/airy_root.html b/doc/html/math_toolkit/airy/airy_root.html index 2d8f5d677..951b5bbf2 100644 --- a/doc/html/math_toolkit/airy/airy_root.html +++ b/doc/html/math_toolkit/airy/airy_root.html @@ -3,7 +3,7 @@ Finding Zeros of Airy Functions - + diff --git a/doc/html/math_toolkit/airy/bi.html b/doc/html/math_toolkit/airy/bi.html index e1f11a3c6..80aab5893 100644 --- a/doc/html/math_toolkit/airy/bi.html +++ b/doc/html/math_toolkit/airy/bi.html @@ -3,7 +3,7 @@ Airy Bi Function - + diff --git a/doc/html/math_toolkit/airy/bip.html b/doc/html/math_toolkit/airy/bip.html index e96a95a68..bb184d6c3 100644 --- a/doc/html/math_toolkit/airy/bip.html +++ b/doc/html/math_toolkit/airy/bip.html @@ -3,7 +3,7 @@ Airy Bi' Function - + diff --git a/doc/html/math_toolkit/anderson_darling.html b/doc/html/math_toolkit/anderson_darling.html index db947b639..a29d856b0 100644 --- a/doc/html/math_toolkit/anderson_darling.html +++ b/doc/html/math_toolkit/anderson_darling.html @@ -3,7 +3,7 @@ The Anderson-Darling Test - + @@ -52,7 +52,7 @@ given by

    - +

    where Fn is the empirical cumulative @@ -180,7 +180,7 @@ give the following definition of the Anderson-Darling test statistic:

    - +

    This is an approximation to the quadrature sum we use as our definition. Boost.Math diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index 9562ad9a4..bd85f264f 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -3,7 +3,7 @@ Conceptual Archetypes for Reals and Distributions - + diff --git a/doc/html/math_toolkit/asin.html b/doc/html/math_toolkit/asin.html index a50324eab..20846baa2 100644 --- a/doc/html/math_toolkit/asin.html +++ b/doc/html/math_toolkit/asin.html @@ -3,7 +3,7 @@ asin - + diff --git a/doc/html/math_toolkit/asinh.html b/doc/html/math_toolkit/asinh.html index a75aef8bd..bd460ead8 100644 --- a/doc/html/math_toolkit/asinh.html +++ b/doc/html/math_toolkit/asinh.html @@ -3,7 +3,7 @@ asinh - + diff --git a/doc/html/math_toolkit/atan.html b/doc/html/math_toolkit/atan.html index e61413fa7..3142df399 100644 --- a/doc/html/math_toolkit/atan.html +++ b/doc/html/math_toolkit/atan.html @@ -3,7 +3,7 @@ atan - + diff --git a/doc/html/math_toolkit/atanh.html b/doc/html/math_toolkit/atanh.html index 35678ffff..c82d38037 100644 --- a/doc/html/math_toolkit/atanh.html +++ b/doc/html/math_toolkit/atanh.html @@ -3,7 +3,7 @@ atanh - + diff --git a/doc/html/math_toolkit/autodiff.html b/doc/html/math_toolkit/autodiff.html index 77e0d0c88..0a3b6e38c 100644 --- a/doc/html/math_toolkit/autodiff.html +++ b/doc/html/math_toolkit/autodiff.html @@ -3,7 +3,7 @@ Automatic Differentiation - + diff --git a/doc/html/math_toolkit/bad_guess.html b/doc/html/math_toolkit/bad_guess.html index ec7476da4..25f2b5376 100644 --- a/doc/html/math_toolkit/bad_guess.html +++ b/doc/html/math_toolkit/bad_guess.html @@ -3,7 +3,7 @@ The Effect of a Poor Initial Guess - + diff --git a/doc/html/math_toolkit/bad_roots.html b/doc/html/math_toolkit/bad_roots.html index 2d756ad38..e06c22075 100644 --- a/doc/html/math_toolkit/bad_roots.html +++ b/doc/html/math_toolkit/bad_roots.html @@ -3,7 +3,7 @@ Examples Where Root Finding Goes Wrong - + @@ -40,7 +40,7 @@ If you start in the wrong place, such as z0 here:

    - +

    Then almost any root-finding algorithm will descend into a local minima rather @@ -55,7 +55,7 @@ is essentially zero:

    - +

    In this situation the next iteration will shoot off to infinity (assuming we're @@ -75,7 +75,7 @@ this case:

    - +

    An initial Newton step would take you further from the root than you started, @@ -90,7 +90,7 @@ Consider starting at z0 in this situation:

    - +

    The first derivative is essentially infinite, and the second close to zero diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index 8a1d11f21..adb818b79 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -3,7 +3,7 @@ Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/bessel.html b/doc/html/math_toolkit/bessel.html index 981b7bda6..b6b80f1e6 100644 --- a/doc/html/math_toolkit/bessel.html +++ b/doc/html/math_toolkit/bessel.html @@ -3,7 +3,7 @@ Bessel Functions - + @@ -26,7 +26,7 @@

    -
    +
    Bessel Function Overview
    Bessel Functions of the First and Second Kinds
    diff --git a/doc/html/math_toolkit/bessel/bessel_derivatives.html b/doc/html/math_toolkit/bessel/bessel_derivatives.html index 425526d00..c389c19b5 100644 --- a/doc/html/math_toolkit/bessel/bessel_derivatives.html +++ b/doc/html/math_toolkit/bessel/bessel_derivatives.html @@ -3,7 +3,7 @@ Derivatives of the Bessel Functions - + diff --git a/doc/html/math_toolkit/bessel/bessel_first.html b/doc/html/math_toolkit/bessel/bessel_first.html index edd90802c..552120268 100644 --- a/doc/html/math_toolkit/bessel/bessel_first.html +++ b/doc/html/math_toolkit/bessel/bessel_first.html @@ -3,7 +3,7 @@ Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/bessel_over.html b/doc/html/math_toolkit/bessel/bessel_over.html index ff78d0bc7..0f252711d 100644 --- a/doc/html/math_toolkit/bessel/bessel_over.html +++ b/doc/html/math_toolkit/bessel/bessel_over.html @@ -3,7 +3,7 @@ Bessel Function Overview - + diff --git a/doc/html/math_toolkit/bessel/bessel_root.html b/doc/html/math_toolkit/bessel/bessel_root.html index 38817a800..e975d9982 100644 --- a/doc/html/math_toolkit/bessel/bessel_root.html +++ b/doc/html/math_toolkit/bessel/bessel_root.html @@ -3,7 +3,7 @@ Finding Zeros of Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/mbessel.html b/doc/html/math_toolkit/bessel/mbessel.html index 0f0774d26..c71cf088c 100644 --- a/doc/html/math_toolkit/bessel/mbessel.html +++ b/doc/html/math_toolkit/bessel/mbessel.html @@ -3,7 +3,7 @@ Modified Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bessel/sph_bessel.html b/doc/html/math_toolkit/bessel/sph_bessel.html index 96756e744..d80f4c796 100644 --- a/doc/html/math_toolkit/bessel/sph_bessel.html +++ b/doc/html/math_toolkit/bessel/sph_bessel.html @@ -3,7 +3,7 @@ Spherical Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/bivariate_statistics.html b/doc/html/math_toolkit/bivariate_statistics.html index c741300bf..a91c183ea 100644 --- a/doc/html/math_toolkit/bivariate_statistics.html +++ b/doc/html/math_toolkit/bivariate_statistics.html @@ -3,7 +3,7 @@ Bivariate Statistics - + diff --git a/doc/html/math_toolkit/brent_minima.html b/doc/html/math_toolkit/brent_minima.html index 328d9c0f8..e6dee0f48 100644 --- a/doc/html/math_toolkit/brent_minima.html +++ b/doc/html/math_toolkit/brent_minima.html @@ -3,7 +3,7 @@ Locating Function Minima using Brent's algorithm - + diff --git a/doc/html/math_toolkit/building.html b/doc/html/math_toolkit/building.html index 815316296..e34090761 100644 --- a/doc/html/math_toolkit/building.html +++ b/doc/html/math_toolkit/building.html @@ -3,7 +3,7 @@ If and How to Build a Boost.Math Library, and its Examples and Tests - + diff --git a/doc/html/math_toolkit/c99.html b/doc/html/math_toolkit/c99.html index c0c9d10d3..f713c109c 100644 --- a/doc/html/math_toolkit/c99.html +++ b/doc/html/math_toolkit/c99.html @@ -3,7 +3,7 @@ C99 C Functions - + diff --git a/doc/html/math_toolkit/cardinal_cubic_b.html b/doc/html/math_toolkit/cardinal_cubic_b.html index f2f550daf..55e862252 100644 --- a/doc/html/math_toolkit/cardinal_cubic_b.html +++ b/doc/html/math_toolkit/cardinal_cubic_b.html @@ -3,7 +3,7 @@ Cardinal Cubic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_quadratic_b.html b/doc/html/math_toolkit/cardinal_quadratic_b.html index 02af18f10..7cc5c7797 100644 --- a/doc/html/math_toolkit/cardinal_quadratic_b.html +++ b/doc/html/math_toolkit/cardinal_quadratic_b.html @@ -3,7 +3,7 @@ Cardinal Quadratic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_quintic_b.html b/doc/html/math_toolkit/cardinal_quintic_b.html index 285329247..7cb2e2da1 100644 --- a/doc/html/math_toolkit/cardinal_quintic_b.html +++ b/doc/html/math_toolkit/cardinal_quintic_b.html @@ -3,7 +3,7 @@ Cardinal Quintic B-spline interpolation - + diff --git a/doc/html/math_toolkit/cardinal_trigonometric.html b/doc/html/math_toolkit/cardinal_trigonometric.html index b3ae01d2b..927d1898f 100644 --- a/doc/html/math_toolkit/cardinal_trigonometric.html +++ b/doc/html/math_toolkit/cardinal_trigonometric.html @@ -3,7 +3,7 @@ Cardinal Trigonometric interpolation - + diff --git a/doc/html/math_toolkit/catmull_rom.html b/doc/html/math_toolkit/catmull_rom.html index dacb98c68..ba5b66cd7 100644 --- a/doc/html/math_toolkit/catmull_rom.html +++ b/doc/html/math_toolkit/catmull_rom.html @@ -3,7 +3,7 @@ Catmull-Rom Splines - + diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index aa23d60f8..13c989419 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -3,7 +3,7 @@ Comparing Different Compilers - + diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index 8185d848f..b3dc909c4 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -3,7 +3,7 @@ Comparisons to Other Open Source Libraries - + diff --git a/doc/html/math_toolkit/compilers_overview.html b/doc/html/math_toolkit/compilers_overview.html index de866c232..d5871885f 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -3,7 +3,7 @@ Compilers - + diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index a5c9f7571..23011bcf3 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -3,7 +3,7 @@ History - + diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index 37dfdf6f4..555876579 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -3,7 +3,7 @@ Implementation and Accuracy - + diff --git a/doc/html/math_toolkit/cond.html b/doc/html/math_toolkit/cond.html index 7cd1b8fec..eb12c3acd 100644 --- a/doc/html/math_toolkit/cond.html +++ b/doc/html/math_toolkit/cond.html @@ -3,7 +3,7 @@ Condition Numbers - + diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index af0ee0bf9..0c64fe496 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -3,7 +3,7 @@ Configuration Macros - + diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index 8d191d827..9a0febfd3 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -3,7 +3,7 @@ The Mathematical Constants - + diff --git a/doc/html/math_toolkit/constants_faq.html b/doc/html/math_toolkit/constants_faq.html index 7d4352778..f6efe1a85 100644 --- a/doc/html/math_toolkit/constants_faq.html +++ b/doc/html/math_toolkit/constants_faq.html @@ -3,7 +3,7 @@ Math Constants FAQs - + diff --git a/doc/html/math_toolkit/constants_intro.html b/doc/html/math_toolkit/constants_intro.html index 5e8af4325..914a356a3 100644 --- a/doc/html/math_toolkit/constants_intro.html +++ b/doc/html/math_toolkit/constants_intro.html @@ -3,7 +3,7 @@ Introduction - + diff --git a/doc/html/math_toolkit/contact.html b/doc/html/math_toolkit/contact.html index 4bae06c08..e3fa4c49b 100644 --- a/doc/html/math_toolkit/contact.html +++ b/doc/html/math_toolkit/contact.html @@ -3,7 +3,7 @@ Contact Info and Support - + diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index ac3e3576f..b457854cb 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -3,7 +3,7 @@ Document Conventions - + @@ -27,7 +27,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. diff --git a/doc/html/math_toolkit/create.html b/doc/html/math_toolkit/create.html index 16c16d7dd..1c4a5ef22 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -3,7 +3,7 @@ Quaternion Creation Functions - + diff --git a/doc/html/math_toolkit/credits.html b/doc/html/math_toolkit/credits.html index 0f5c19846..89e76aae2 100644 --- a/doc/html/math_toolkit/credits.html +++ b/doc/html/math_toolkit/credits.html @@ -3,7 +3,7 @@ Credits and Acknowledgements - + diff --git a/doc/html/math_toolkit/diff.html b/doc/html/math_toolkit/diff.html index a259e7c58..8a302d025 100644 --- a/doc/html/math_toolkit/diff.html +++ b/doc/html/math_toolkit/diff.html @@ -3,7 +3,7 @@ Numerical Differentiation - + diff --git a/doc/html/math_toolkit/diff0.html b/doc/html/math_toolkit/diff0.html index 661d30206..c9a24dfbf 100644 --- a/doc/html/math_toolkit/diff0.html +++ b/doc/html/math_toolkit/diff0.html @@ -3,7 +3,7 @@ Lanczos Smoothing Derivatives - + diff --git a/doc/html/math_toolkit/directories.html b/doc/html/math_toolkit/directories.html index c3f154bdc..78ca2081c 100644 --- a/doc/html/math_toolkit/directories.html +++ b/doc/html/math_toolkit/directories.html @@ -3,7 +3,7 @@ Directory and File Structure - + diff --git a/doc/html/math_toolkit/dist_concept.html b/doc/html/math_toolkit/dist_concept.html index 2ec8c16e1..f0300cf21 100644 --- a/doc/html/math_toolkit/dist_concept.html +++ b/doc/html/math_toolkit/dist_concept.html @@ -3,7 +3,7 @@ Conceptual Requirements for Distribution Types - + diff --git a/doc/html/math_toolkit/dist_ref.html b/doc/html/math_toolkit/dist_ref.html index f30747abb..c572c4803 100644 --- a/doc/html/math_toolkit/dist_ref.html +++ b/doc/html/math_toolkit/dist_ref.html @@ -3,7 +3,7 @@ Statistical Distributions Reference - + @@ -26,7 +26,7 @@

    -
    +
    Non-Member Properties
    Distributions
    diff --git a/doc/html/math_toolkit/dist_ref/dist_algorithms.html b/doc/html/math_toolkit/dist_ref/dist_algorithms.html index 370394013..e65aa7d99 100644 --- a/doc/html/math_toolkit/dist_ref/dist_algorithms.html +++ b/doc/html/math_toolkit/dist_ref/dist_algorithms.html @@ -3,7 +3,7 @@ Distribution Algorithms - + diff --git a/doc/html/math_toolkit/dist_ref/dists.html b/doc/html/math_toolkit/dist_ref/dists.html index 088300ae8..76b369baf 100644 --- a/doc/html/math_toolkit/dist_ref/dists.html +++ b/doc/html/math_toolkit/dist_ref/dists.html @@ -3,7 +3,7 @@ Distributions - + @@ -26,7 +26,7 @@ -
    +
    Arcsine Distribution
    Bernoulli Distribution
    diff --git a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html index cbfc5b306..14f62839f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html @@ -3,7 +3,7 @@ Arcsine Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html index 2d030ad8c..2dd80dd65 100644 --- a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html @@ -3,7 +3,7 @@ Bernoulli Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html index 9c480cc61..51e569145 100644 --- a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html @@ -3,7 +3,7 @@ Beta Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html index e0c2fac60..1acff5410 100644 --- a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html @@ -3,7 +3,7 @@ Binomial Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html index 60293c706..53c8f2f98 100644 --- a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html @@ -3,7 +3,7 @@ Cauchy-Lorentz Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html index 25e46c838..b7787507f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html @@ -3,7 +3,7 @@ Chi Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html index b070f0784..3285de2ba 100644 --- a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html +++ b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html @@ -3,7 +3,7 @@ Empirical Cumulative Distribution Function - + diff --git a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html index f550055cd..58e675e90 100644 --- a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html @@ -3,7 +3,7 @@ Exponential Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html index 81b87c67f..7309c1352 100644 --- a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html @@ -3,7 +3,7 @@ Extreme Value Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/f_dist.html b/doc/html/math_toolkit/dist_ref/dists/f_dist.html index 7bb28bbd8..d01bbf92d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/f_dist.html @@ -3,7 +3,7 @@ F Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html index d68d86545..f2d940b3b 100644 --- a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html @@ -3,7 +3,7 @@ Gamma (and Erlang) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html index 249e011e3..8e00d2286 100644 --- a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html @@ -3,7 +3,7 @@ Geometric Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html index 4b9e5059b..bd8359a9b 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html @@ -3,7 +3,7 @@ Hyperexponential Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html index c465fd39c..bbc082dac 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -3,7 +3,7 @@ Hypergeometric Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html index 7c8e210fd..a68919a25 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html @@ -3,7 +3,7 @@ Inverse Chi Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html index 4e3f3411c..799b25171 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html @@ -3,7 +3,7 @@ Inverse Gamma Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html index 4f0ca9fbd..44b3cac32 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html @@ -3,7 +3,7 @@ Inverse Gaussian (or Inverse Normal) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html index bd26b32bf..d3bcf75f9 100644 --- a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html @@ -3,7 +3,7 @@ Laplace Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html index 07cbd9c6e..6f64f8498 100644 --- a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html @@ -3,7 +3,7 @@ Logistic Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html index c0ebdfbea..d2af3d9a0 100644 --- a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html @@ -3,7 +3,7 @@ Log Normal Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html index 81d40c472..1631c2b5a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html @@ -3,7 +3,7 @@ Noncentral Beta Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html index d5871a666..a0ba327ae 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html @@ -3,7 +3,7 @@ Noncentral Chi-Squared Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html index 45257cb59..90f053fa6 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html @@ -3,7 +3,7 @@ Noncentral F Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html index 3041d254e..05b947ccd 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html @@ -3,7 +3,7 @@ Noncentral T Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html index 31d401f61..ee480421e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html @@ -3,7 +3,7 @@ Negative Binomial Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html index 41971cc81..07a8d6b0f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html @@ -3,7 +3,7 @@ Normal (Gaussian) Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/pareto.html b/doc/html/math_toolkit/dist_ref/dists/pareto.html index c2d9a7bc2..9d11067b9 100644 --- a/doc/html/math_toolkit/dist_ref/dists/pareto.html +++ b/doc/html/math_toolkit/dist_ref/dists/pareto.html @@ -3,7 +3,7 @@ Pareto Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html index e0a7e28c8..bfb396586 100644 --- a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html @@ -3,7 +3,7 @@ Poisson Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html index dc854c6d0..e19a60b8e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html +++ b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html @@ -3,7 +3,7 @@ Rayleigh Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html index 5d7956192..77b5b8bdd 100644 --- a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html @@ -3,7 +3,7 @@ Skew Normal Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html index 8cc84d827..5557945c7 100644 --- a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html @@ -3,7 +3,7 @@ Students t Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html index 3427fa854..16a333578 100644 --- a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html @@ -3,7 +3,7 @@ Triangular Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html index 027a7df21..424c9e774 100644 --- a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html @@ -3,7 +3,7 @@ Uniform Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html index 5b4674638..a25787fe3 100644 --- a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html @@ -3,7 +3,7 @@ Weibull Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/nmp.html b/doc/html/math_toolkit/dist_ref/nmp.html index 7c5c9ce36..93f98b3ae 100644 --- a/doc/html/math_toolkit/dist_ref/nmp.html +++ b/doc/html/math_toolkit/dist_ref/nmp.html @@ -3,7 +3,7 @@ Non-Member Properties - + diff --git a/doc/html/math_toolkit/double_exponential.html b/doc/html/math_toolkit/double_exponential.html index efa02f7af..36aac97e8 100644 --- a/doc/html/math_toolkit/double_exponential.html +++ b/doc/html/math_toolkit/double_exponential.html @@ -3,7 +3,7 @@ Double-exponential quadrature - + @@ -26,7 +26,7 @@ -
    +
    Overview
    tanh_sinh
    Handling diff --git a/doc/html/math_toolkit/double_exponential/de_caveats.html b/doc/html/math_toolkit/double_exponential/de_caveats.html index 460a623ac..7224538c4 100644 --- a/doc/html/math_toolkit/double_exponential/de_caveats.html +++ b/doc/html/math_toolkit/double_exponential/de_caveats.html @@ -3,7 +3,7 @@ Caveats - + diff --git a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html index b7d5311ca..7eed638e2 100644 --- a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html @@ -3,7 +3,7 @@ exp_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_levels.html b/doc/html/math_toolkit/double_exponential/de_levels.html index 8487f61b2..1141c9524 100644 --- a/doc/html/math_toolkit/double_exponential/de_levels.html +++ b/doc/html/math_toolkit/double_exponential/de_levels.html @@ -3,7 +3,7 @@ Setting the Maximum Interval Halvings and Memory Requirements - + diff --git a/doc/html/math_toolkit/double_exponential/de_overview.html b/doc/html/math_toolkit/double_exponential/de_overview.html index 2088cc13d..d2999c462 100644 --- a/doc/html/math_toolkit/double_exponential/de_overview.html +++ b/doc/html/math_toolkit/double_exponential/de_overview.html @@ -3,7 +3,7 @@ Overview - + diff --git a/doc/html/math_toolkit/double_exponential/de_refes.html b/doc/html/math_toolkit/double_exponential/de_refes.html index 58d63bd5d..f0a34aed9 100644 --- a/doc/html/math_toolkit/double_exponential/de_refes.html +++ b/doc/html/math_toolkit/double_exponential/de_refes.html @@ -3,7 +3,7 @@ References - + diff --git a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html index 4dd7159c8..96743cef5 100644 --- a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html @@ -3,7 +3,7 @@ sinh_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html index 222b8886e..c378608fd 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html @@ -3,7 +3,7 @@ tanh_sinh - + diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html index 4bdee76d2..00cb5b7b5 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html @@ -3,7 +3,7 @@ Handling functions with large features near an endpoint with tanh-sinh quadrature - + diff --git a/doc/html/math_toolkit/double_exponential/de_thread.html b/doc/html/math_toolkit/double_exponential/de_thread.html index fa057182c..0e6cb2490 100644 --- a/doc/html/math_toolkit/double_exponential/de_thread.html +++ b/doc/html/math_toolkit/double_exponential/de_thread.html @@ -3,7 +3,7 @@ Thread Safety - + diff --git a/doc/html/math_toolkit/double_exponential/de_tol.html b/doc/html/math_toolkit/double_exponential/de_tol.html index dcbeddcd0..920dbb219 100644 --- a/doc/html/math_toolkit/double_exponential/de_tol.html +++ b/doc/html/math_toolkit/double_exponential/de_tol.html @@ -3,7 +3,7 @@ Setting the Termination Condition for Integration - + diff --git a/doc/html/math_toolkit/ellint.html b/doc/html/math_toolkit/ellint.html index abc0950f9..b0686fcbd 100644 --- a/doc/html/math_toolkit/ellint.html +++ b/doc/html/math_toolkit/ellint.html @@ -3,7 +3,7 @@ Elliptic Integrals - + @@ -26,7 +26,7 @@ -
    +
    Elliptic Integral Overview
    Elliptic Integrals - Carlson Form
    diff --git a/doc/html/math_toolkit/ellint/ellint_1.html b/doc/html/math_toolkit/ellint/ellint_1.html index 27a2dcfa8..ba05a2b98 100644 --- a/doc/html/math_toolkit/ellint/ellint_1.html +++ b/doc/html/math_toolkit/ellint/ellint_1.html @@ -3,7 +3,7 @@ Elliptic Integrals of the First Kind - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_2.html b/doc/html/math_toolkit/ellint/ellint_2.html index 51f87f01c..4ab762ce0 100644 --- a/doc/html/math_toolkit/ellint/ellint_2.html +++ b/doc/html/math_toolkit/ellint/ellint_2.html @@ -3,7 +3,7 @@ Elliptic Integrals of the Second Kind - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_3.html b/doc/html/math_toolkit/ellint/ellint_3.html index c122b58b3..554c5515b 100644 --- a/doc/html/math_toolkit/ellint/ellint_3.html +++ b/doc/html/math_toolkit/ellint/ellint_3.html @@ -3,7 +3,7 @@ Elliptic Integrals of the Third Kind - Legendre Form - + @@ -313,7 +313,7 @@

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

    are used to move φ to the range [0, π/2]. @@ -334,7 +334,7 @@

    -

    +

    [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 diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html index 5d446b730..c60717a7f 100644 --- a/doc/html/math_toolkit/ellint/ellint_carlson.html +++ b/doc/html/math_toolkit/ellint/ellint_carlson.html @@ -3,7 +3,7 @@ Elliptic Integrals - Carlson Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_d.html b/doc/html/math_toolkit/ellint/ellint_d.html index 781cad8b0..cef17d9a5 100644 --- a/doc/html/math_toolkit/ellint/ellint_d.html +++ b/doc/html/math_toolkit/ellint/ellint_d.html @@ -3,7 +3,7 @@ Elliptic Integral D - Legendre Form - + diff --git a/doc/html/math_toolkit/ellint/ellint_intro.html b/doc/html/math_toolkit/ellint/ellint_intro.html index 8f6dbd38c..7c881ee3d 100644 --- a/doc/html/math_toolkit/ellint/ellint_intro.html +++ b/doc/html/math_toolkit/ellint/ellint_intro.html @@ -3,7 +3,7 @@ Elliptic Integral Overview - + diff --git a/doc/html/math_toolkit/ellint/heuman_lambda.html b/doc/html/math_toolkit/ellint/heuman_lambda.html index 48a24e8cf..4c7ee6627 100644 --- a/doc/html/math_toolkit/ellint/heuman_lambda.html +++ b/doc/html/math_toolkit/ellint/heuman_lambda.html @@ -3,7 +3,7 @@ Heuman Lambda Function - + diff --git a/doc/html/math_toolkit/ellint/jacobi_zeta.html b/doc/html/math_toolkit/ellint/jacobi_zeta.html index c2caea64e..8e883c7b8 100644 --- a/doc/html/math_toolkit/ellint/jacobi_zeta.html +++ b/doc/html/math_toolkit/ellint/jacobi_zeta.html @@ -3,7 +3,7 @@ Jacobi Zeta Function - + diff --git a/doc/html/math_toolkit/error_handling.html b/doc/html/math_toolkit/error_handling.html index a4aae171d..f956ca5a2 100644 --- a/doc/html/math_toolkit/error_handling.html +++ b/doc/html/math_toolkit/error_handling.html @@ -3,7 +3,7 @@ Error Handling - + diff --git a/doc/html/math_toolkit/exact_typdefs.html b/doc/html/math_toolkit/exact_typdefs.html index 2a1f400a9..b3f56b085 100644 --- a/doc/html/math_toolkit/exact_typdefs.html +++ b/doc/html/math_toolkit/exact_typdefs.html @@ -3,7 +3,7 @@ Exact-Width Floating-Point typedefs - + diff --git a/doc/html/math_toolkit/examples.html b/doc/html/math_toolkit/examples.html index 80926754a..2a185353a 100644 --- a/doc/html/math_toolkit/examples.html +++ b/doc/html/math_toolkit/examples.html @@ -3,7 +3,7 @@ Examples - + diff --git a/doc/html/math_toolkit/exp.html b/doc/html/math_toolkit/exp.html index e6c271a55..b310d2fe2 100644 --- a/doc/html/math_toolkit/exp.html +++ b/doc/html/math_toolkit/exp.html @@ -3,7 +3,7 @@ The Quaternionic Exponential - + diff --git a/doc/html/math_toolkit/expint.html b/doc/html/math_toolkit/expint.html index b27a9de1f..80890b304 100644 --- a/doc/html/math_toolkit/expint.html +++ b/doc/html/math_toolkit/expint.html @@ -3,7 +3,7 @@ Exponential Integrals - + @@ -26,7 +26,7 @@

    -
    + diff --git a/doc/html/math_toolkit/expint/expint_i.html b/doc/html/math_toolkit/expint/expint_i.html index f2069da97..2e8cbd28e 100644 --- a/doc/html/math_toolkit/expint/expint_i.html +++ b/doc/html/math_toolkit/expint/expint_i.html @@ -3,7 +3,7 @@ Exponential Integral Ei - + @@ -279,7 +279,7 @@ a minimax rational approximation rescaled so that it is evaluated over [-1,1]. Note that while the rational approximation over [0,6] converges rapidly to the minimax solution it is rather ill-conditioned in practice. Cody and Thacher - [5] experienced the same issue and converted the polynomials into + [5] experienced the same issue and converted the polynomials into Chebeshev form to ensure stable computation. By experiment we found that the polynomials are just as stable in polynomial as Chebyshev form, provided they are computed over the interval [-1,1]. @@ -310,7 +310,7 @@ involved.

    -

    +

    [5] 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. diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html index 48deca227..3d2477c54 100644 --- a/doc/html/math_toolkit/expint/expint_n.html +++ b/doc/html/math_toolkit/expint/expint_n.html @@ -3,7 +3,7 @@ Exponential Integral En - + diff --git a/doc/html/math_toolkit/factorials.html b/doc/html/math_toolkit/factorials.html index dde2649a3..00600ab2b 100644 --- a/doc/html/math_toolkit/factorials.html +++ b/doc/html/math_toolkit/factorials.html @@ -3,7 +3,7 @@ Factorials and Binomial Coefficients - + @@ -26,7 +26,7 @@

    -
    +
    Factorial
    Double Factorial
    Rising Factorial
    diff --git a/doc/html/math_toolkit/factorials/sf_binomial.html b/doc/html/math_toolkit/factorials/sf_binomial.html index 438b9d2ca..15e4e9654 100644 --- a/doc/html/math_toolkit/factorials/sf_binomial.html +++ b/doc/html/math_toolkit/factorials/sf_binomial.html @@ -3,7 +3,7 @@ Binomial Coefficients - + diff --git a/doc/html/math_toolkit/factorials/sf_double_factorial.html b/doc/html/math_toolkit/factorials/sf_double_factorial.html index 2680380cb..e9a8a2c41 100644 --- a/doc/html/math_toolkit/factorials/sf_double_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_double_factorial.html @@ -3,7 +3,7 @@ Double Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_factorial.html b/doc/html/math_toolkit/factorials/sf_factorial.html index c4637a26b..c9471876d 100644 --- a/doc/html/math_toolkit/factorials/sf_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_factorial.html @@ -3,7 +3,7 @@ Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_falling_factorial.html b/doc/html/math_toolkit/factorials/sf_falling_factorial.html index fa6cb651f..062b8d18a 100644 --- a/doc/html/math_toolkit/factorials/sf_falling_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_falling_factorial.html @@ -3,7 +3,7 @@ Falling Factorial - + diff --git a/doc/html/math_toolkit/factorials/sf_rising_factorial.html b/doc/html/math_toolkit/factorials/sf_rising_factorial.html index 61197bff2..0b1544acd 100644 --- a/doc/html/math_toolkit/factorials/sf_rising_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_rising_factorial.html @@ -3,7 +3,7 @@ Rising Factorial - + diff --git a/doc/html/math_toolkit/fastest_typdefs.html b/doc/html/math_toolkit/fastest_typdefs.html index d5ba1a7d6..314feac14 100644 --- a/doc/html/math_toolkit/fastest_typdefs.html +++ b/doc/html/math_toolkit/fastest_typdefs.html @@ -3,7 +3,7 @@ Fastest floating-point typedefs - + diff --git a/doc/html/math_toolkit/float128.html b/doc/html/math_toolkit/float128.html index b5dcb42b3..0a2c25350 100644 --- a/doc/html/math_toolkit/float128.html +++ b/doc/html/math_toolkit/float128.html @@ -3,7 +3,7 @@ Implementation of Float128 type - + @@ -26,7 +26,7 @@ -
    +
    Overloading template functions with float128_t
    Exponential function
    diff --git a/doc/html/math_toolkit/float128/exp_function.html b/doc/html/math_toolkit/float128/exp_function.html index 247285948..dc762d808 100644 --- a/doc/html/math_toolkit/float128/exp_function.html +++ b/doc/html/math_toolkit/float128/exp_function.html @@ -3,7 +3,7 @@ Exponential function - + diff --git a/doc/html/math_toolkit/float128/overloading.html b/doc/html/math_toolkit/float128/overloading.html index 1aa6ad669..8685d3047 100644 --- a/doc/html/math_toolkit/float128/overloading.html +++ b/doc/html/math_toolkit/float128/overloading.html @@ -3,7 +3,7 @@ Overloading template functions with float128_t - + diff --git a/doc/html/math_toolkit/float128/typeinfo.html b/doc/html/math_toolkit/float128/typeinfo.html index 01705bcf8..122a3a118 100644 --- a/doc/html/math_toolkit/float128/typeinfo.html +++ b/doc/html/math_toolkit/float128/typeinfo.html @@ -3,7 +3,7 @@ typeinfo - + diff --git a/doc/html/math_toolkit/float128_hints.html b/doc/html/math_toolkit/float128_hints.html index 32f5f96fb..0b4398475 100644 --- a/doc/html/math_toolkit/float128_hints.html +++ b/doc/html/math_toolkit/float128_hints.html @@ -3,7 +3,7 @@ Hints on using float128 (and __float128) - + diff --git a/doc/html/math_toolkit/float_comparison.html b/doc/html/math_toolkit/float_comparison.html index 2d5fd5818..57d02d234 100644 --- a/doc/html/math_toolkit/float_comparison.html +++ b/doc/html/math_toolkit/float_comparison.html @@ -3,7 +3,7 @@ Floating-point Comparison - + diff --git a/doc/html/math_toolkit/fourier_integrals.html b/doc/html/math_toolkit/fourier_integrals.html index bb2e9d1df..90eacef39 100644 --- a/doc/html/math_toolkit/fourier_integrals.html +++ b/doc/html/math_toolkit/fourier_integrals.html @@ -3,7 +3,7 @@ Fourier Integrals - + diff --git a/doc/html/math_toolkit/fp_facets.html b/doc/html/math_toolkit/fp_facets.html index a2195a89a..af3bce479 100644 --- a/doc/html/math_toolkit/fp_facets.html +++ b/doc/html/math_toolkit/fp_facets.html @@ -3,7 +3,7 @@ Facets for Floating-Point Infinities and NaNs - + @@ -27,7 +27,7 @@ Facets for Floating-Point Infinities and NaNs
    -
    +
    Introduction
    Reference
    Examples
    diff --git a/doc/html/math_toolkit/fp_facets/examples.html b/doc/html/math_toolkit/fp_facets/examples.html index 3874b45e6..709480336 100644 --- a/doc/html/math_toolkit/fp_facets/examples.html +++ b/doc/html/math_toolkit/fp_facets/examples.html @@ -3,7 +3,7 @@ Examples - + diff --git a/doc/html/math_toolkit/fp_facets/facets_intro.html b/doc/html/math_toolkit/fp_facets/facets_intro.html index cd9e70c06..71bb6b86f 100644 --- a/doc/html/math_toolkit/fp_facets/facets_intro.html +++ b/doc/html/math_toolkit/fp_facets/facets_intro.html @@ -3,7 +3,7 @@ Introduction - + diff --git a/doc/html/math_toolkit/fp_facets/portability.html b/doc/html/math_toolkit/fp_facets/portability.html index a257fa6f1..2b546ee01 100644 --- a/doc/html/math_toolkit/fp_facets/portability.html +++ b/doc/html/math_toolkit/fp_facets/portability.html @@ -3,7 +3,7 @@ Portability - + diff --git a/doc/html/math_toolkit/fp_facets/rationale.html b/doc/html/math_toolkit/fp_facets/rationale.html index 954ae2065..d476d081f 100644 --- a/doc/html/math_toolkit/fp_facets/rationale.html +++ b/doc/html/math_toolkit/fp_facets/rationale.html @@ -3,7 +3,7 @@ Design Rationale - + diff --git a/doc/html/math_toolkit/fp_facets/reference.html b/doc/html/math_toolkit/fp_facets/reference.html index 54532c544..de8215528 100644 --- a/doc/html/math_toolkit/fp_facets/reference.html +++ b/doc/html/math_toolkit/fp_facets/reference.html @@ -3,7 +3,7 @@ Reference - + diff --git a/doc/html/math_toolkit/fpclass.html b/doc/html/math_toolkit/fpclass.html index 10f2e958e..eb08b5c5b 100644 --- a/doc/html/math_toolkit/fpclass.html +++ b/doc/html/math_toolkit/fpclass.html @@ -3,7 +3,7 @@ Floating-Point Classification: Infinities and NaNs - + diff --git a/doc/html/math_toolkit/future.html b/doc/html/math_toolkit/future.html index dd4c839d5..3f79a6f9f 100644 --- a/doc/html/math_toolkit/future.html +++ b/doc/html/math_toolkit/future.html @@ -3,7 +3,7 @@ Extras/Future Directions - + diff --git a/doc/html/math_toolkit/gauss.html b/doc/html/math_toolkit/gauss.html index 7d35645f5..9afb7e02a 100644 --- a/doc/html/math_toolkit/gauss.html +++ b/doc/html/math_toolkit/gauss.html @@ -3,7 +3,7 @@ Gauss-Legendre quadrature - + diff --git a/doc/html/math_toolkit/gauss_kronrod.html b/doc/html/math_toolkit/gauss_kronrod.html index e2e709f2d..567635870 100644 --- a/doc/html/math_toolkit/gauss_kronrod.html +++ b/doc/html/math_toolkit/gauss_kronrod.html @@ -3,7 +3,7 @@ Gauss-Kronrod Quadrature - + diff --git a/doc/html/math_toolkit/getting_best.html b/doc/html/math_toolkit/getting_best.html index 5fa17bf0d..27048553e 100644 --- a/doc/html/math_toolkit/getting_best.html +++ b/doc/html/math_toolkit/getting_best.html @@ -3,7 +3,7 @@ Getting the Best Performance from this Library: Compiler and Compiler Options - + diff --git a/doc/html/math_toolkit/greatest_typdefs.html b/doc/html/math_toolkit/greatest_typdefs.html index bc076d701..10745ca35 100644 --- a/doc/html/math_toolkit/greatest_typdefs.html +++ b/doc/html/math_toolkit/greatest_typdefs.html @@ -3,7 +3,7 @@ Greatest-width floating-point typedef - + diff --git a/doc/html/math_toolkit/hankel.html b/doc/html/math_toolkit/hankel.html index 632d73dec..83152faf8 100644 --- a/doc/html/math_toolkit/hankel.html +++ b/doc/html/math_toolkit/hankel.html @@ -3,7 +3,7 @@ Hankel Functions - + @@ -26,7 +26,7 @@ -
    + diff --git a/doc/html/math_toolkit/hankel/cyl_hankel.html b/doc/html/math_toolkit/hankel/cyl_hankel.html index 956641865..3fe1d3625 100644 --- a/doc/html/math_toolkit/hankel/cyl_hankel.html +++ b/doc/html/math_toolkit/hankel/cyl_hankel.html @@ -3,7 +3,7 @@ Cyclic Hankel Functions - + diff --git a/doc/html/math_toolkit/hankel/sph_hankel.html b/doc/html/math_toolkit/hankel/sph_hankel.html index 6ad071938..18c6039f4 100644 --- a/doc/html/math_toolkit/hankel/sph_hankel.html +++ b/doc/html/math_toolkit/hankel/sph_hankel.html @@ -3,7 +3,7 @@ Spherical Hankel Functions - + diff --git a/doc/html/math_toolkit/high_precision.html b/doc/html/math_toolkit/high_precision.html index 27dadb52e..c3f40749f 100644 --- a/doc/html/math_toolkit/high_precision.html +++ b/doc/html/math_toolkit/high_precision.html @@ -3,7 +3,7 @@ Using Boost.Math with High-Precision Floating-Point Libraries - + @@ -27,7 +27,7 @@ Using Boost.Math with High-Precision Floating-Point Libraries
    -
    +
    Why use a high-precision library rather than built-in floating-point types?
    Using diff --git a/doc/html/math_toolkit/high_precision/e_float.html b/doc/html/math_toolkit/high_precision/e_float.html index 33342ed04..a6f7160a8 100644 --- a/doc/html/math_toolkit/high_precision/e_float.html +++ b/doc/html/math_toolkit/high_precision/e_float.html @@ -3,7 +3,7 @@ Using e_float Library - + diff --git a/doc/html/math_toolkit/high_precision/float128.html b/doc/html/math_toolkit/high_precision/float128.html index d9e8d9580..6ff674e1b 100644 --- a/doc/html/math_toolkit/high_precision/float128.html +++ b/doc/html/math_toolkit/high_precision/float128.html @@ -3,7 +3,7 @@ Using with GCC's __float128 datatype - + diff --git a/doc/html/math_toolkit/high_precision/use_mpfr.html b/doc/html/math_toolkit/high_precision/use_mpfr.html index 0481bab72..00da6757a 100644 --- a/doc/html/math_toolkit/high_precision/use_mpfr.html +++ b/doc/html/math_toolkit/high_precision/use_mpfr.html @@ -3,7 +3,7 @@ Using With MPFR or GMP - High-Precision Floating-Point Library - + diff --git a/doc/html/math_toolkit/high_precision/use_multiprecision.html b/doc/html/math_toolkit/high_precision/use_multiprecision.html index 6a8bd5a0c..a3f2f13ce 100644 --- a/doc/html/math_toolkit/high_precision/use_multiprecision.html +++ b/doc/html/math_toolkit/high_precision/use_multiprecision.html @@ -3,7 +3,7 @@ Using Boost.Multiprecision - + @@ -34,43 +34,52 @@ Using Boost.Multiprecision cpp_float - for numerical calculations with high precision. + types for numerical calculations with higher precision than built-in long double.

    The Boost.Multiprecision library can be used for computations requiring precision - exceeding that of standard built-in types such as float, double and long - double. For extended-precision calculations, Boost.Multiprecision supplies - a template data type called cpp_dec_float. The number of decimal digits of - precision is fixed at compile-time via template parameter. + exceeding that of standard built-in types such as float, + double and long + double. For extended-precision calculations, + Boost.Multiprecision supplies several template data types called cpp_bin_float_.

    - To use these floating-point types and constants, we need some includes: + The number of decimal digits of precision is fixed at compile-time via template + parameter. +

    +

    + To use these floating-point types and Boost.Math + collection of high-precision constants, we need some includes:

    #include <boost/math/constants/constants.hpp>
     
    -#include <boost/multiprecision/cpp_dec_float.hpp>
    -// using boost::multiprecision::cpp_dec_float
    +#include <boost/multiprecision/cpp_bin_float.hpp>
    +// that includes some predefined typedefs that can be used thus:
    +// using boost::multiprecision::cpp_bin_float_quad;
    +// using boost::multiprecision::cpp_bin_float_50;
    +// using boost::multiprecision::cpp_bin_float_100;
     
     #include <iostream>
     #include <limits>
    +#include <type_traits>
     

    So now we can demonstrate with some trivial calculations:

    - Using typedef cpp_dec_float_50 + Using typedef cpp_bin_float_50 hides the complexity of multiprecision, allows us to define variables with 50 decimal digit precision just like built-in double.

    -
    using boost::multiprecision::cpp_dec_float_50;
    +
    using boost::multiprecision::cpp_bin_float_50;
     
    -cpp_dec_float_50 seventh = cpp_dec_float_50(1) / 7;  // 1 / 7
    +cpp_bin_float_50 seventh = cpp_bin_float_50(1) / 7; // 1 / 7
     

    By default, output would only show the standard 6 decimal digits, so set precision to show all 50 significant digits, including any trailing zeros.

    -
    std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10);
    +
    std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10);
     std::cout << std::showpoint << std::endl; // Append any trailing zeros.
     std::cout << seventh << std::endl;
     
    @@ -80,13 +89,13 @@
    0.14285714285714285714285714285714285714285714285714
     

    - We can also use Boost.Math constants - like π, guaranteed to be initialized with the very last bit of precision for - the floating-point type. + We can also use __math_constants like π, guaranteed to be initialized with + the very last bit of precision (Unit + in the Last Place) for the floating-point type.

    -
    std::cout << "pi = " << boost::math::constants::pi<cpp_dec_float_50>() << std::endl;
    -cpp_dec_float_50 circumference = boost::math::constants::pi<cpp_dec_float_50>() * 2 * seventh;
    -std::cout << "c =  "<< circumference << std::endl;
    +
    std::cout << "pi = " << boost::math::constants::pi<cpp_bin_float_50>() << std::endl;
    +cpp_bin_float_50 circumference = boost::math::constants::pi<cpp_bin_float_50>() * 2 * seventh;
    +std::cout << "c =  " << circumference << std::endl;
     

    which outputs diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html index 804a1d4e4..258b7bdac 100644 --- a/doc/html/math_toolkit/high_precision/use_ntl.html +++ b/doc/html/math_toolkit/high_precision/use_ntl.html @@ -3,7 +3,7 @@ Using NTL Library - + diff --git a/doc/html/math_toolkit/high_precision/using_test.html b/doc/html/math_toolkit/high_precision/using_test.html index 585936fa4..709bec375 100644 --- a/doc/html/math_toolkit/high_precision/using_test.html +++ b/doc/html/math_toolkit/high_precision/using_test.html @@ -3,7 +3,7 @@ Using without expression templates for Boost.Test and others - + diff --git a/doc/html/math_toolkit/high_precision/why_high_precision.html b/doc/html/math_toolkit/high_precision/why_high_precision.html index c10982357..5fb093983 100644 --- a/doc/html/math_toolkit/high_precision/why_high_precision.html +++ b/doc/html/math_toolkit/high_precision/why_high_precision.html @@ -3,7 +3,7 @@ Why use a high-precision library rather than built-in floating-point types? - + diff --git a/doc/html/math_toolkit/hints.html b/doc/html/math_toolkit/hints.html index b6697ceae..ac5cbc664 100644 --- a/doc/html/math_toolkit/hints.html +++ b/doc/html/math_toolkit/hints.html @@ -3,7 +3,7 @@ Other Hints and tips - + diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 3168d7fb1..0266644b2 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -3,7 +3,7 @@ History and What's New - + diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 02bc3dc4b..9f0ff88bb 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -3,7 +3,7 @@ History and What's New - + diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index e94eddc05..8081a8957 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -3,7 +3,7 @@ Hypergeometric Functions - + @@ -26,7 +26,7 @@

    -
    +
    Hypergeometric 1F0
    Hypergeometric diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 2015849a9..dfe3d776d 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -3,7 +3,7 @@ Hypergeometric 0F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index 8ce170c2a..cf6d4f7ed 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -3,7 +3,7 @@ Hypergeometric 1F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index c098e2155..55791e6ae 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -3,7 +3,7 @@ Hypergeometric 1F1 - + @@ -75,13 +75,13 @@ equation

    - +

    which for |z| < 1 has the hypergeometric series expansion

    - +

    where (a)n denotes rising factorial. @@ -93,13 +93,13 @@ The "regularized" versions of the function return:

    - +

    The "log" versions of the function return:

    - +

    When the optional sign argument @@ -150,7 +150,7 @@

    - +

    @@ -167,7 +167,7 @@

    - +

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

    - +

    @@ -201,7 +201,7 @@

    - +

    @@ -327,7 +327,7 @@ errors are located:

    - +

    @@ -377,7 +377,7 @@ distributed:

    - +

    @@ -428,7 +428,7 @@ converge to much better than double precision.

    - +

    @@ -479,7 +479,7 @@ with b < a and za:

    - + @@ -535,13 +535,13 @@ relation to make z positive:

    - +

    The main series representation

    - +

    is used only when @@ -564,7 +564,7 @@ A&S 13.3.6 gives

    - +

    which is particularly useful for a ≅ b and z @@ -576,25 +576,25 @@ 13.3.7) (7)

    - +

    with

    - +

    and

    - +

    With Ev defined as:

    - +

    This approximation is especially effective when a < 0. @@ -605,13 +605,13 @@ can be used (6):

    - +

    For z large we have the asymptotic expansion:

    - +

    which is a special case of the gamma function expansion above. @@ -634,7 +634,7 @@ all positive recurrence on a via

    - +

    abruptly changes from stable forwards recursion to stable backwards if 2a-b+z @@ -662,7 +662,7 @@ with a reference value, or by using the Wronskian

    - +

    which is of course the well known Miller's method (12). diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index 25082c75d..788b55392 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -3,7 +3,7 @@ Hypergeometric 2F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 56276771c..2b863ad19 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -3,7 +3,7 @@ Hypergeometric pFq - + @@ -66,7 +66,7 @@ returns the result of:

    - +

    It is most naturally used via initializer lists as in: diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 2717bce81..d997bf8e4 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -3,7 +3,7 @@ Hypergeometric References - + diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 6b144f357..075d668b7 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -3,7 +3,7 @@ Internal tools - + @@ -26,7 +26,7 @@

    -
    +
    Series Evaluation
    Continued Fraction Evaluation
    Tools For 3-Term Recurrence diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 72fb7ebeb..b50be1024 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -3,7 +3,7 @@ Continued Fraction Evaluation - + diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 3a5bcb62f..19cd98b24 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -3,7 +3,7 @@ Relative Error and Testing - + diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index b5323db61..c5e7f96c3 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -3,7 +3,7 @@ Minimax Approximations and the Remez Algorithm - + diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index f65f303cb..e3ed02a76 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -3,7 +3,7 @@ Tools For 3-Term Recurrence Relations - + @@ -83,7 +83,7 @@ written in this form is:

    - +

    Therefore, given local variables x and v @@ -97,7 +97,7 @@ of the final term:

    - +

    And this could be encoded as: @@ -116,7 +116,7 @@ at some location n, then returns the ratio:

    - +

    This calculation is stable only if recurrence is stable in the backwards @@ -141,7 +141,7 @@ then returns the ratio:

    - +

    This calculation is stable only if recurrence is stable in the forwards direction. diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index b6abd87d4..38a3508c8 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -3,7 +3,7 @@ Series Evaluation - + diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index 01b70d5b3..cdeb03574 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -3,7 +3,7 @@ Graphing, Profiling, and Generating Test Data for Special Functions - + diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index 3708bab8f..90bec9e61 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -3,7 +3,7 @@ Tuples - + diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index f03b8b97f..028fca7a5 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -3,7 +3,7 @@ Overview - + diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index 3ba7bc5cf..9fe035816 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -3,7 +3,7 @@ Interpreting these Results - + diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 286184b98..8329ab612 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -3,7 +3,7 @@ Policies - + diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 981894c5a..47a073387 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -3,7 +3,7 @@ Inverse Hyperbolic Functions - + @@ -26,7 +26,7 @@

    -
    +
    Inverse Hyperbolic Functions Overview
    acosh
    diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 9aa02c6ec..8e855ee3d 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -3,7 +3,7 @@ acosh - + diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 20d2af152..38817e03f 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -3,7 +3,7 @@ asinh - + diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index fa1586ce3..5488b803a 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -3,7 +3,7 @@ atanh - + diff --git a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index 94cc4ac22..0d0ac0d05 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -3,7 +3,7 @@ Inverse Hyperbolic Functions Overview - + diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index 6fd4dcc79..b3444c794 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -3,7 +3,7 @@ Known Issues, and TODO List - + diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 171d52cd5..2bdc12b87 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -3,7 +3,7 @@ Jacobi Elliptic Functions - + @@ -26,7 +26,7 @@ -
    +
    -

    +

    [2] Wikipedia: Jacobi elliptic functions diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index d7a78955f..a2d003874 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function cd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index bc000eac6..540142d1d 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function cn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index e2e18391f..53ff4c818 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function cs - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index 4de29f5ef..92ffb1633 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function dc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 01c9e70ce..45c29193c 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function dn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index 5e7adc1bb..0d16d326a 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function ds - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index d95f26f8b..44305233b 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -3,7 +3,7 @@ Jacobi Elliptic SN, CN and DN - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index c186dc8e9..c14907f9c 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function nc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index 2b0022552..e121b83ae 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function nd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index 92bf67b0a..43fb94fc0 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function ns - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index 36e19030d..45dc465a5 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function sc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index ecd3a0cd5..cf27bb541 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function sd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index 979884d3e..dd585ebe3 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -3,7 +3,7 @@ Jacobi Elliptic Function sn - + diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 0e88841a2..cf69cd66a 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -3,7 +3,7 @@ Lambert W function - + diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index 2c3ed33be..d7d5f41a5 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -3,7 +3,7 @@ The Lanczos Approximation - + diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 252747a57..9e5c389ac 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -3,11 +3,11 @@ The Ljung-Box Test - + - + @@ -20,7 +20,7 @@


    -PrevUpHomeNext +PrevUpHomeNext

    @@ -57,7 +57,7 @@ The test statistic is

    - +

    where n is the length of v and ℓ @@ -128,7 +128,7 @@


    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html index 8505ea42f..b564636b1 100644 --- a/doc/html/math_toolkit/logs_and_tables.html +++ b/doc/html/math_toolkit/logs_and_tables.html @@ -3,7 +3,7 @@ Error logs and tables - + @@ -26,7 +26,7 @@ -
    +
    Tables of Error Rates for all Functions
    Error Logs For Error diff --git a/doc/html/math_toolkit/logs_and_tables/all_table.html b/doc/html/math_toolkit/logs_and_tables/all_table.html index 71285eb96..0f1031104 100644 --- a/doc/html/math_toolkit/logs_and_tables/all_table.html +++ b/doc/html/math_toolkit/logs_and_tables/all_table.html @@ -3,7 +3,7 @@ Tables of Error Rates for all Functions - + diff --git a/doc/html/math_toolkit/logs_and_tables/logs.html b/doc/html/math_toolkit/logs_and_tables/logs.html index 14bee94f9..c1b54c93d 100644 --- a/doc/html/math_toolkit/logs_and_tables/logs.html +++ b/doc/html/math_toolkit/logs_and_tables/logs.html @@ -3,7 +3,7 @@ Error Logs For Error Rate Tables - + diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html index 7bfa4433e..de1036c24 100644 --- a/doc/html/math_toolkit/macros.html +++ b/doc/html/math_toolkit/macros.html @@ -3,7 +3,7 @@ Floating-Point Constant Macros - + diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html index b78861932..6b91cc830 100644 --- a/doc/html/math_toolkit/main_faq.html +++ b/doc/html/math_toolkit/main_faq.html @@ -3,7 +3,7 @@ Boost.Math Frequently Asked Questions (FAQs) - + diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html index 2c93fb9f5..c7e98701e 100644 --- a/doc/html/math_toolkit/main_intro.html +++ b/doc/html/math_toolkit/main_intro.html @@ -3,7 +3,7 @@ About the Math Toolkit - + diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html index 4f5d5f26d..0916c1f5e 100644 --- a/doc/html/math_toolkit/main_tr1.html +++ b/doc/html/math_toolkit/main_tr1.html @@ -3,7 +3,7 @@ C99 and TR1 C Functions Overview - + diff --git a/doc/html/math_toolkit/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index e9e9f7fe8..802277e82 100644 --- a/doc/html/math_toolkit/mem_typedef.html +++ b/doc/html/math_toolkit/mem_typedef.html @@ -3,7 +3,7 @@ Quaternion Member Typedefs - + diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html index f5731b005..817131027 100644 --- a/doc/html/math_toolkit/minimum_typdefs.html +++ b/doc/html/math_toolkit/minimum_typdefs.html @@ -3,7 +3,7 @@ Minimum-width floating-point typedefs - + diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html index 430470df7..fd46a7ece 100644 --- a/doc/html/math_toolkit/multiprecision.html +++ b/doc/html/math_toolkit/multiprecision.html @@ -3,7 +3,7 @@ Cost of High-Precision Non-built-in Floating-point - + diff --git a/doc/html/math_toolkit/naive_monte_carlo.html b/doc/html/math_toolkit/naive_monte_carlo.html index 7549d1f0d..d512f2b4a 100644 --- a/doc/html/math_toolkit/naive_monte_carlo.html +++ b/doc/html/math_toolkit/naive_monte_carlo.html @@ -3,7 +3,7 @@ Naive Monte Carlo Integration - + diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html index 92f89ed9f..37065db01 100644 --- a/doc/html/math_toolkit/namespaces.html +++ b/doc/html/math_toolkit/namespaces.html @@ -3,7 +3,7 @@ Namespaces - + diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index dbf45024d..d6e25e8fe 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -3,7 +3,7 @@ Navigation - + @@ -27,7 +27,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. diff --git a/doc/html/math_toolkit/new_const.html b/doc/html/math_toolkit/new_const.html index 427524219..297db96b1 100644 --- a/doc/html/math_toolkit/new_const.html +++ b/doc/html/math_toolkit/new_const.html @@ -3,7 +3,7 @@ Defining New Constants - + diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html index 535f6f653..fd3eea51e 100644 --- a/doc/html/math_toolkit/next_float.html +++ b/doc/html/math_toolkit/next_float.html @@ -3,7 +3,7 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values - + @@ -27,7 +27,7 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values

    -
    +
    Finding the Next Representable Value in a Specific Direction (nextafter)
    Finding the Next diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html index 816380b82..a721789fe 100644 --- a/doc/html/math_toolkit/next_float/float_advance.html +++ b/doc/html/math_toolkit/next_float/float_advance.html @@ -3,7 +3,7 @@ Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance - + diff --git a/doc/html/math_toolkit/next_float/float_distance.html b/doc/html/math_toolkit/next_float/float_distance.html index 1949c87c2..91cb4d0b5 100644 --- a/doc/html/math_toolkit/next_float/float_distance.html +++ b/doc/html/math_toolkit/next_float/float_distance.html @@ -3,7 +3,7 @@ Calculating the Representation Distance Between Two floating-point Values (ULP) float_distance - + diff --git a/doc/html/math_toolkit/next_float/float_next.html b/doc/html/math_toolkit/next_float/float_next.html index 677517960..48f505a61 100644 --- a/doc/html/math_toolkit/next_float/float_next.html +++ b/doc/html/math_toolkit/next_float/float_next.html @@ -3,7 +3,7 @@ Finding the Next Greater Representable Value (float_next) - + diff --git a/doc/html/math_toolkit/next_float/float_prior.html b/doc/html/math_toolkit/next_float/float_prior.html index bd684eda7..2db4b2c52 100644 --- a/doc/html/math_toolkit/next_float/float_prior.html +++ b/doc/html/math_toolkit/next_float/float_prior.html @@ -3,7 +3,7 @@ Finding the Next Smaller Representable Value (float_prior) - + diff --git a/doc/html/math_toolkit/next_float/nextafter.html b/doc/html/math_toolkit/next_float/nextafter.html index 788870953..4c62fe749 100644 --- a/doc/html/math_toolkit/next_float/nextafter.html +++ b/doc/html/math_toolkit/next_float/nextafter.html @@ -3,7 +3,7 @@ Finding the Next Representable Value in a Specific Direction (nextafter) - + diff --git a/doc/html/math_toolkit/next_float/ulp.html b/doc/html/math_toolkit/next_float/ulp.html index 18399a655..8c7ff010f 100644 --- a/doc/html/math_toolkit/next_float/ulp.html +++ b/doc/html/math_toolkit/next_float/ulp.html @@ -3,7 +3,7 @@ Obtaining the Size of a Unit In the Last Place - ULP - + diff --git a/doc/html/math_toolkit/norms.html b/doc/html/math_toolkit/norms.html index a9777c941..c3d4ec40a 100644 --- a/doc/html/math_toolkit/norms.html +++ b/doc/html/math_toolkit/norms.html @@ -3,7 +3,7 @@ Norms - + diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 83bcd5ae8..971c6937a 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -3,7 +3,7 @@ Number Series - + @@ -26,7 +26,7 @@ -
    +
    Bernoulli Numbers
    Tangent Numbers
    diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html index 9137fe0e3..8f444c112 100644 --- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html +++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html @@ -3,7 +3,7 @@ Bernoulli Numbers - + diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index 37ed36477..ad7a30974 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -3,7 +3,7 @@ Prime Numbers - + diff --git a/doc/html/math_toolkit/number_series/tangent_numbers.html b/doc/html/math_toolkit/number_series/tangent_numbers.html index f4168a421..2b66f1267 100644 --- a/doc/html/math_toolkit/number_series/tangent_numbers.html +++ b/doc/html/math_toolkit/number_series/tangent_numbers.html @@ -3,7 +3,7 @@ Tangent Numbers - + diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html index e178951d3..d44d7087d 100644 --- a/doc/html/math_toolkit/oct_create.html +++ b/doc/html/math_toolkit/oct_create.html @@ -3,7 +3,7 @@ Octonion Creation Functions - + diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html index cf13bf65e..f16a0e9d9 100644 --- a/doc/html/math_toolkit/oct_header.html +++ b/doc/html/math_toolkit/oct_header.html @@ -3,7 +3,7 @@ Header File - + diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html index 48c6522f6..03cc410e1 100644 --- a/doc/html/math_toolkit/oct_history.html +++ b/doc/html/math_toolkit/oct_history.html @@ -3,7 +3,7 @@ History - + diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html index 1fab39044..fe8dba3c9 100644 --- a/doc/html/math_toolkit/oct_mem_fun.html +++ b/doc/html/math_toolkit/oct_mem_fun.html @@ -3,7 +3,7 @@ Octonion Member Functions - + diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html index 28d1af9cc..9595dc4e4 100644 --- a/doc/html/math_toolkit/oct_non_mem.html +++ b/doc/html/math_toolkit/oct_non_mem.html @@ -3,7 +3,7 @@ Octonion Non-Member Operators - + diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html index 33d7e5c49..a5ce06c96 100644 --- a/doc/html/math_toolkit/oct_overview.html +++ b/doc/html/math_toolkit/oct_overview.html @@ -3,7 +3,7 @@ Overview - + diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html index d10ba34ed..72e502f12 100644 --- a/doc/html/math_toolkit/oct_specialization.html +++ b/doc/html/math_toolkit/oct_specialization.html @@ -3,7 +3,7 @@ Octonion Specializations - + diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html index 183b104d5..783d13fad 100644 --- a/doc/html/math_toolkit/oct_synopsis.html +++ b/doc/html/math_toolkit/oct_synopsis.html @@ -3,7 +3,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html index 51cdc79dc..e15ee01e3 100644 --- a/doc/html/math_toolkit/oct_tests.html +++ b/doc/html/math_toolkit/oct_tests.html @@ -3,7 +3,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html index 12e16c660..c5a17aba3 100644 --- a/doc/html/math_toolkit/oct_todo.html +++ b/doc/html/math_toolkit/oct_todo.html @@ -3,7 +3,7 @@ To Do - + diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html index 4e79b013b..f82d76189 100644 --- a/doc/html/math_toolkit/oct_trans.html +++ b/doc/html/math_toolkit/oct_trans.html @@ -3,7 +3,7 @@ Octonions Transcendentals - + diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html index 12c64542b..523a899d7 100644 --- a/doc/html/math_toolkit/oct_typedefs.html +++ b/doc/html/math_toolkit/oct_typedefs.html @@ -3,7 +3,7 @@ Octonion Member Typedefs - + diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html index 06e3fd847..ff020a133 100644 --- a/doc/html/math_toolkit/oct_value_ops.html +++ b/doc/html/math_toolkit/oct_value_ops.html @@ -3,7 +3,7 @@ Octonion Value Operations - + diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html index 4ecfdd21c..752162bc7 100644 --- a/doc/html/math_toolkit/octonion.html +++ b/doc/html/math_toolkit/octonion.html @@ -3,7 +3,7 @@ Template Class octonion - + diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html index a162c9a6d..0a79c67f4 100644 --- a/doc/html/math_toolkit/overview_tr1.html +++ b/doc/html/math_toolkit/overview_tr1.html @@ -3,7 +3,7 @@ C99 and C++ TR1 C-style Functions - + diff --git a/doc/html/math_toolkit/owens_t.html b/doc/html/math_toolkit/owens_t.html index 46b52f777..200ae424a 100644 --- a/doc/html/math_toolkit/owens_t.html +++ b/doc/html/math_toolkit/owens_t.html @@ -3,7 +3,7 @@ Owen's T function - + diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index b8ff0806f..6b0cbb45a 100644 --- a/doc/html/math_toolkit/perf_over1.html +++ b/doc/html/math_toolkit/perf_over1.html @@ -3,7 +3,7 @@ Performance - + diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html index 4a09733c2..21f1bb66f 100644 --- a/doc/html/math_toolkit/perf_over2.html +++ b/doc/html/math_toolkit/perf_over2.html @@ -3,7 +3,7 @@ Performance Overview - + diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html index 645bd6f34..777218434 100644 --- a/doc/html/math_toolkit/perf_test_app.html +++ b/doc/html/math_toolkit/perf_test_app.html @@ -3,7 +3,7 @@ The Performance Test Applications - + diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html index 6c0187ea3..0aa993e90 100644 --- a/doc/html/math_toolkit/pol_overview.html +++ b/doc/html/math_toolkit/pol_overview.html @@ -3,7 +3,7 @@ Policy Overview - + diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html index dc262af04..d166878f6 100644 --- a/doc/html/math_toolkit/pol_ref.html +++ b/doc/html/math_toolkit/pol_ref.html @@ -3,7 +3,7 @@ Policy Reference - + @@ -26,7 +26,7 @@ -
    +
    Error Handling Policies
    Internal Floating-point diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html index 0637cbbed..635708cf8 100644 --- a/doc/html/math_toolkit/pol_ref/assert_undefined.html +++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html @@ -3,7 +3,7 @@ Mathematically Undefined Function Policies - + diff --git a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html index a72b0edd3..a2c5261ef 100644 --- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html +++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html @@ -3,7 +3,7 @@ Discrete Quantile Policies - + diff --git a/doc/html/math_toolkit/pol_ref/error_handling_policies.html b/doc/html/math_toolkit/pol_ref/error_handling_policies.html index 36a57687a..4ee0dcb97 100644 --- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html +++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html @@ -3,7 +3,7 @@ Error Handling Policies - + diff --git a/doc/html/math_toolkit/pol_ref/internal_promotion.html b/doc/html/math_toolkit/pol_ref/internal_promotion.html index 6d8778828..954183346 100644 --- a/doc/html/math_toolkit/pol_ref/internal_promotion.html +++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html @@ -3,7 +3,7 @@ Internal Floating-point Promotion Policies - + diff --git a/doc/html/math_toolkit/pol_ref/iteration_pol.html b/doc/html/math_toolkit/pol_ref/iteration_pol.html index 98a5ef390..cce25594e 100644 --- a/doc/html/math_toolkit/pol_ref/iteration_pol.html +++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html @@ -3,7 +3,7 @@ Iteration Limits Policies - + diff --git a/doc/html/math_toolkit/pol_ref/namespace_pol.html b/doc/html/math_toolkit/pol_ref/namespace_pol.html index 45f5514d7..8f3ead73f 100644 --- a/doc/html/math_toolkit/pol_ref/namespace_pol.html +++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html @@ -3,7 +3,7 @@ Setting Polices at Namespace Scope - + diff --git a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html index 339b90b81..ec210bfcd 100644 --- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html +++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html @@ -3,7 +3,7 @@ Policy Class Reference - + diff --git a/doc/html/math_toolkit/pol_ref/policy_defaults.html b/doc/html/math_toolkit/pol_ref/policy_defaults.html index 3c3c6b229..253340b1c 100644 --- a/doc/html/math_toolkit/pol_ref/policy_defaults.html +++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html @@ -3,7 +3,7 @@ Using Macros to Change the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_ref/precision_pol.html b/doc/html/math_toolkit/pol_ref/precision_pol.html index af1083e6d..7ac6c6a4f 100644 --- a/doc/html/math_toolkit/pol_ref/precision_pol.html +++ b/doc/html/math_toolkit/pol_ref/precision_pol.html @@ -3,7 +3,7 @@ Precision Policies - + diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html index 254f348be..15bfbe7e5 100644 --- a/doc/html/math_toolkit/pol_tutorial.html +++ b/doc/html/math_toolkit/pol_tutorial.html @@ -3,7 +3,7 @@ Policy Tutorial - + @@ -26,7 +26,7 @@ -
    +
    So Just What is a Policy Anyway?
    Policies diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html index b30efa454..6a1d0f395 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html @@ -3,7 +3,7 @@ Setting Policies for Distributions on an Ad Hoc Basis - + diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html index 56f9a2a23..a820212da 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html @@ -3,7 +3,7 @@ Changing the Policy on an Ad Hoc Basis for the Special Functions - + diff --git a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html index 5f72f01a8..6ae021a89 100644 --- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html @@ -3,7 +3,7 @@ Changing the Policy Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html index fa538994b..7f822ad69 100644 --- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html @@ -3,7 +3,7 @@ Setting Policies at Namespace or Translation Unit Scope - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html index 634415b63..5664cb222 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html @@ -3,7 +3,7 @@ Policies Have Sensible Defaults - + diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html index 3b3e4e50d..ff280c22e 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html @@ -3,7 +3,7 @@ So How are Policies Used Anyway? - + diff --git a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html index 8c760baa3..4f83233da 100644 --- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html +++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html @@ -3,7 +3,7 @@ Understanding Quantiles of Discrete Distributions - + diff --git a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html index cebe4e1fa..2b075cdfe 100644 --- a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html +++ b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html @@ -3,7 +3,7 @@ Calling User Defined Error Handlers - + diff --git a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html index 829f983ed..9da4aab07 100644 --- a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html +++ b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html @@ -3,7 +3,7 @@ So Just What is a Policy Anyway? - + diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html index 51b2daf93..f4682609a 100644 --- a/doc/html/math_toolkit/polynomials.html +++ b/doc/html/math_toolkit/polynomials.html @@ -3,7 +3,7 @@ Polynomials - + diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html index 8f5f69d3c..aee4e01bd 100644 --- a/doc/html/math_toolkit/powers.html +++ b/doc/html/math_toolkit/powers.html @@ -3,7 +3,7 @@ Basic Functions - + @@ -26,7 +26,7 @@ -
    +
    sin_pi
    cos_pi
    log1p
    diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html index e9b77994a..311492d3c 100644 --- a/doc/html/math_toolkit/powers/cbrt.html +++ b/doc/html/math_toolkit/powers/cbrt.html @@ -3,7 +3,7 @@ cbrt - + diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html index d6623f131..f3cb0b4e6 100644 --- a/doc/html/math_toolkit/powers/cos_pi.html +++ b/doc/html/math_toolkit/powers/cos_pi.html @@ -3,7 +3,7 @@ cos_pi - + diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html index 9cc0f6fc0..1a8252e38 100644 --- a/doc/html/math_toolkit/powers/ct_pow.html +++ b/doc/html/math_toolkit/powers/ct_pow.html @@ -3,7 +3,7 @@ Compile Time Power of a Runtime Base - + diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html index ae632f0d2..a7538e285 100644 --- a/doc/html/math_toolkit/powers/expm1.html +++ b/doc/html/math_toolkit/powers/expm1.html @@ -3,7 +3,7 @@ expm1 - + diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html index c5d9892fe..a069c63e8 100644 --- a/doc/html/math_toolkit/powers/hypot.html +++ b/doc/html/math_toolkit/powers/hypot.html @@ -3,7 +3,7 @@ hypot - + diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html index 652b6c20a..723c2156d 100644 --- a/doc/html/math_toolkit/powers/log1p.html +++ b/doc/html/math_toolkit/powers/log1p.html @@ -3,7 +3,7 @@ log1p - + diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html index a397cbe19..acb3ff813 100644 --- a/doc/html/math_toolkit/powers/powm1.html +++ b/doc/html/math_toolkit/powers/powm1.html @@ -3,7 +3,7 @@ powm1 - + diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index bcfc193d5..aa3b17d4b 100644 --- a/doc/html/math_toolkit/powers/sin_pi.html +++ b/doc/html/math_toolkit/powers/sin_pi.html @@ -3,7 +3,7 @@ sin_pi - + diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html index 89948041b..380d07e95 100644 --- a/doc/html/math_toolkit/powers/sqrt1pm1.html +++ b/doc/html/math_toolkit/powers/sqrt1pm1.html @@ -3,7 +3,7 @@ sqrt1pm1 - + diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html index 045cb783d..9703b88de 100644 --- a/doc/html/math_toolkit/quat.html +++ b/doc/html/math_toolkit/quat.html @@ -3,7 +3,7 @@ Template Class quaternion - + diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html index d7f2de64f..c5f4eacd4 100644 --- a/doc/html/math_toolkit/quat_header.html +++ b/doc/html/math_toolkit/quat_header.html @@ -3,7 +3,7 @@ Header File - + diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html index 9859fa563..ef1bdc978 100644 --- a/doc/html/math_toolkit/quat_history.html +++ b/doc/html/math_toolkit/quat_history.html @@ -3,7 +3,7 @@ History - + diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html index 465f6e738..568ff73fc 100644 --- a/doc/html/math_toolkit/quat_mem_fun.html +++ b/doc/html/math_toolkit/quat_mem_fun.html @@ -3,7 +3,7 @@ Quaternion Member Functions - + diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html index 732ecf4ae..98783b403 100644 --- a/doc/html/math_toolkit/quat_non_mem.html +++ b/doc/html/math_toolkit/quat_non_mem.html @@ -3,7 +3,7 @@ Quaternion Non-Member Operators - + diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html index f511b4c5b..2bd070895 100644 --- a/doc/html/math_toolkit/quat_overview.html +++ b/doc/html/math_toolkit/quat_overview.html @@ -3,7 +3,7 @@ Overview - + diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html index 1e8dc9084..a46a209d4 100644 --- a/doc/html/math_toolkit/quat_synopsis.html +++ b/doc/html/math_toolkit/quat_synopsis.html @@ -3,7 +3,7 @@ Synopsis - + diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html index 875a64610..a59cfa9b0 100644 --- a/doc/html/math_toolkit/quat_tests.html +++ b/doc/html/math_toolkit/quat_tests.html @@ -3,7 +3,7 @@ Test Program - + diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html index 022b42cc4..f907e0529 100644 --- a/doc/html/math_toolkit/quat_todo.html +++ b/doc/html/math_toolkit/quat_todo.html @@ -3,7 +3,7 @@ To Do - + diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html index 8c8166b5b..02d5419f7 100644 --- a/doc/html/math_toolkit/rational.html +++ b/doc/html/math_toolkit/rational.html @@ -3,7 +3,7 @@ Polynomial and Rational Function Evaluation - + diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html index 32e282008..22c9e5066 100644 --- a/doc/html/math_toolkit/rationale.html +++ b/doc/html/math_toolkit/rationale.html @@ -3,7 +3,7 @@ Rationale - + diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html index 867aac568..964864fd4 100644 --- a/doc/html/math_toolkit/real_concepts.html +++ b/doc/html/math_toolkit/real_concepts.html @@ -3,7 +3,7 @@ Conceptual Requirements for Real Number Types - + diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html index 2a9f6edc6..74b4d8659 100644 --- a/doc/html/math_toolkit/refs.html +++ b/doc/html/math_toolkit/refs.html @@ -3,7 +3,7 @@ References - + diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html index e4facc6f6..9adf6c283 100644 --- a/doc/html/math_toolkit/relative_error.html +++ b/doc/html/math_toolkit/relative_error.html @@ -3,7 +3,7 @@ Relative Error - + diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html index 069eb5008..433a435dd 100644 --- a/doc/html/math_toolkit/remez.html +++ b/doc/html/math_toolkit/remez.html @@ -3,7 +3,7 @@ The Remez Method - + diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html index 416d88671..b1ea8fdb2 100644 --- a/doc/html/math_toolkit/result_type.html +++ b/doc/html/math_toolkit/result_type.html @@ -3,7 +3,7 @@ Calculation of the Type of the Result - + @@ -40,7 +40,7 @@ floating-point arguments. But that leaves the question:

    -

    +

    "Given a special function with N arguments of types T1, T2, T3 ... TN, then what type is the result?" diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html index a0d5535f2..8509313af 100644 --- a/doc/html/math_toolkit/root_comparison.html +++ b/doc/html/math_toolkit/root_comparison.html @@ -3,7 +3,7 @@ Comparison of Root Finding Algorithms - + @@ -27,7 +27,7 @@ Comparison of Root Finding Algorithms

    -
    +
    Comparison of Cube Root Finding Algorithms
    Comparison diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html index 1a3e912c0..78fc7199a 100644 --- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html +++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html @@ -3,7 +3,7 @@ Comparison of Cube Root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html index f0a7f2c15..fd5513e37 100644 --- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html +++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html @@ -3,7 +3,7 @@ Comparison of Elliptic Integral Root Finding Algoritghms - + diff --git a/doc/html/math_toolkit/root_comparison/root_n_comparison.html b/doc/html/math_toolkit/root_comparison/root_n_comparison.html index 403265b36..843991d65 100644 --- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html +++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html @@ -3,7 +3,7 @@ Comparison of Nth-root Finding Algorithms - + diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html index f7b1f2a18..6478f893c 100644 --- a/doc/html/math_toolkit/root_finding_examples.html +++ b/doc/html/math_toolkit/root_finding_examples.html @@ -3,7 +3,7 @@ Examples of Root-Finding (with and without derivatives) - + @@ -27,7 +27,7 @@ Examples of Root-Finding (with and without derivatives)
    -
    +
    Finding the Cubed Root With and Without Derivatives
    Using C++11 diff --git a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html index e86d36598..6b67b25f5 100644 --- a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html @@ -3,7 +3,7 @@ Computing the Fifth Root - + diff --git a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html index e47dc9ac4..e93ff1bb8 100644 --- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html @@ -3,7 +3,7 @@ Finding the Cubed Root With and Without Derivatives - + diff --git a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html index 0abe94cc6..ef429fda4 100644 --- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html @@ -3,7 +3,7 @@ A More complex example - Inverting the Elliptic Integrals - + diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html index 7ff6a1707..dffee7f9b 100644 --- a/doc/html/math_toolkit/root_finding_examples/lambda.html +++ b/doc/html/math_toolkit/root_finding_examples/lambda.html @@ -3,7 +3,7 @@ Using C++11 Lambda's - + diff --git a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html index 41f374fc8..22b18e67f 100644 --- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html +++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html @@ -3,7 +3,7 @@ Root-finding using Boost.Multiprecision - + diff --git a/doc/html/math_toolkit/root_finding_examples/nth_root.html b/doc/html/math_toolkit/root_finding_examples/nth_root.html index 7a900bb3b..4720001c0 100644 --- a/doc/html/math_toolkit/root_finding_examples/nth_root.html +++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html @@ -3,7 +3,7 @@ Generalizing to Compute the nth root - + diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html index 1cd100591..fd784938a 100644 --- a/doc/html/math_toolkit/roots_deriv.html +++ b/doc/html/math_toolkit/roots_deriv.html @@ -3,7 +3,7 @@ Root Finding With Derivatives: Newton-Raphson, Halley & Schröder - + diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html index cc0bcd37e..7ca5ac923 100644 --- a/doc/html/math_toolkit/roots_noderiv.html +++ b/doc/html/math_toolkit/roots_noderiv.html @@ -3,7 +3,7 @@ Root Finding Without Derivatives - + @@ -26,7 +26,7 @@ -
    +
    Bisection
    Bracket and Solve Root
    diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html index 47f4e0662..9b66ecddc 100644 --- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html +++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html @@ -3,7 +3,7 @@ Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions - + diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html index b863da3d8..dff09c4e6 100644 --- a/doc/html/math_toolkit/roots_noderiv/bisect.html +++ b/doc/html/math_toolkit/roots_noderiv/bisect.html @@ -3,7 +3,7 @@ Bisection - + diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html index a633df8fa..31897c3c8 100644 --- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html +++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html @@ -3,7 +3,7 @@ Bracket and Solve Root - + diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html index 53b94e26e..c1a108b07 100644 --- a/doc/html/math_toolkit/roots_noderiv/brent.html +++ b/doc/html/math_toolkit/roots_noderiv/brent.html @@ -3,7 +3,7 @@ Brent-Decker Algorithm - + diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html index acb1eb339..0acc678d7 100644 --- a/doc/html/math_toolkit/roots_noderiv/implementation.html +++ b/doc/html/math_toolkit/roots_noderiv/implementation.html @@ -3,7 +3,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html index 27f33a046..1f52eb830 100644 --- a/doc/html/math_toolkit/roots_noderiv/root_termination.html +++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html @@ -3,7 +3,7 @@ Termination Condition Functors - + diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html index 418ca6446..3daca3c76 100644 --- a/doc/html/math_toolkit/rounding.html +++ b/doc/html/math_toolkit/rounding.html @@ -3,7 +3,7 @@ Rounding Truncation and Integer Conversion - + @@ -27,7 +27,7 @@ Rounding Truncation and Integer Conversion
    -
    +
    Rounding Functions
    Truncation Functions
    Integer and Fractional Part diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html index 998ebc64d..874fbdd14 100644 --- a/doc/html/math_toolkit/rounding/modf.html +++ b/doc/html/math_toolkit/rounding/modf.html @@ -3,7 +3,7 @@ Integer and Fractional Part Splitting (modf) - + diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html index e8c473a3a..9c7206392 100644 --- a/doc/html/math_toolkit/rounding/round.html +++ b/doc/html/math_toolkit/rounding/round.html @@ -3,7 +3,7 @@ Rounding Functions - + diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html index d09c1ff03..7b18ebcbd 100644 --- a/doc/html/math_toolkit/rounding/trunc.html +++ b/doc/html/math_toolkit/rounding/trunc.html @@ -3,7 +3,7 @@ Truncation Functions - + diff --git a/doc/html/math_toolkit/runs_test.html b/doc/html/math_toolkit/runs_test.html index 64af3bec6..95216a94d 100644 --- a/doc/html/math_toolkit/runs_test.html +++ b/doc/html/math_toolkit/runs_test.html @@ -3,7 +3,7 @@ Runs tests - + @@ -65,13 +65,13 @@ tells us the expected number of runs and their variance:

    - +

    from which we derive the test statistic

    - +

    whose distribution we approximate as normal to extract a p-value. diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html index ab310076b..51ddca371 100644 --- a/doc/html/math_toolkit/sf_beta.html +++ b/doc/html/math_toolkit/sf_beta.html @@ -3,7 +3,7 @@ Beta Functions - + @@ -26,7 +26,7 @@

    -
    +
    Beta
    Incomplete Beta Functions
    diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html index fafc1328b..76ecabfc6 100644 --- a/doc/html/math_toolkit/sf_beta/beta_derivative.html +++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html @@ -3,7 +3,7 @@ Derivative of the Incomplete Beta Function - + diff --git a/doc/html/math_toolkit/sf_beta/beta_function.html b/doc/html/math_toolkit/sf_beta/beta_function.html index 669179c95..cb3363f5c 100644 --- a/doc/html/math_toolkit/sf_beta/beta_function.html +++ b/doc/html/math_toolkit/sf_beta/beta_function.html @@ -3,7 +3,7 @@ Beta - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html index 6148acbc9..86533bb59 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -3,7 +3,7 @@ Incomplete Beta Functions - + diff --git a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html index 1ab35536f..949f0fdf4 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html @@ -3,7 +3,7 @@ The Incomplete Beta Function Inverses - + diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html index 6e2277b1f..010e6277c 100644 --- a/doc/html/math_toolkit/sf_erf.html +++ b/doc/html/math_toolkit/sf_erf.html @@ -3,7 +3,7 @@ Error Functions - + @@ -26,7 +26,7 @@ -
    +
    Error Function erf and complement erfc
    Error Function Inverses
    diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html index 5f348c15d..5a94da0a4 100644 --- a/doc/html/math_toolkit/sf_erf/error_function.html +++ b/doc/html/math_toolkit/sf_erf/error_function.html @@ -3,7 +3,7 @@ Error Function erf and complement erfc - + diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html index a74515c89..4d94b7e33 100644 --- a/doc/html/math_toolkit/sf_erf/error_inv.html +++ b/doc/html/math_toolkit/sf_erf/error_inv.html @@ -3,7 +3,7 @@ Error Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index a2278db63..280ba436e 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -3,7 +3,7 @@ Gamma Functions - + @@ -26,7 +26,7 @@ -
    +
    Gamma
    Log Gamma
    Digamma
    diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html index 23369b2c9..ee3bebfce 100644 --- a/doc/html/math_toolkit/sf_gamma/digamma.html +++ b/doc/html/math_toolkit/sf_gamma/digamma.html @@ -3,7 +3,7 @@ Digamma - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html index 2890e418f..7bfd06259 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html @@ -3,7 +3,7 @@ Derivative of the Incomplete Gamma Function - + diff --git a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html index 15ef01f5f..11496ed5f 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html @@ -3,7 +3,7 @@ Ratios of Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma.html b/doc/html/math_toolkit/sf_gamma/igamma.html index 68b2b1b03..45c796cfd 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma.html +++ b/doc/html/math_toolkit/sf_gamma/igamma.html @@ -3,7 +3,7 @@ Incomplete Gamma Functions - + diff --git a/doc/html/math_toolkit/sf_gamma/igamma_inv.html b/doc/html/math_toolkit/sf_gamma/igamma_inv.html index 6b50ecd39..6bdc5504a 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html +++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html @@ -3,7 +3,7 @@ Incomplete Gamma Function Inverses - + diff --git a/doc/html/math_toolkit/sf_gamma/lgamma.html b/doc/html/math_toolkit/sf_gamma/lgamma.html index 2c2aeba1a..737ad9f98 100644 --- a/doc/html/math_toolkit/sf_gamma/lgamma.html +++ b/doc/html/math_toolkit/sf_gamma/lgamma.html @@ -3,7 +3,7 @@ Log Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html index 2da2dc90f..72aec5f13 100644 --- a/doc/html/math_toolkit/sf_gamma/polygamma.html +++ b/doc/html/math_toolkit/sf_gamma/polygamma.html @@ -3,7 +3,7 @@ Polygamma - + diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html index a61d34d30..6c3c87e29 100644 --- a/doc/html/math_toolkit/sf_gamma/tgamma.html +++ b/doc/html/math_toolkit/sf_gamma/tgamma.html @@ -3,7 +3,7 @@ Gamma - + diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html index 5f5478d05..6881f14ad 100644 --- a/doc/html/math_toolkit/sf_gamma/trigamma.html +++ b/doc/html/math_toolkit/sf_gamma/trigamma.html @@ -3,7 +3,7 @@ Trigamma - + diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html index 357f14106..694ad61b0 100644 --- a/doc/html/math_toolkit/sf_implementation.html +++ b/doc/html/math_toolkit/sf_implementation.html @@ -3,7 +3,7 @@ Additional Implementation Notes - + diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html index 91c8105ae..c2f78f72c 100644 --- a/doc/html/math_toolkit/sf_poly.html +++ b/doc/html/math_toolkit/sf_poly.html @@ -3,7 +3,7 @@ Polynomials - + @@ -26,7 +26,7 @@ -
    +
    Legendre (and Associated) Polynomials
    Legendre-Stieltjes diff --git a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html index 9c76afad5..1f30d5c08 100644 --- a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html +++ b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html @@ -3,7 +3,7 @@ Cardinal B-splines - + diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html index 98ea1f9a2..6480eb01b 100644 --- a/doc/html/math_toolkit/sf_poly/chebyshev.html +++ b/doc/html/math_toolkit/sf_poly/chebyshev.html @@ -3,7 +3,7 @@ Chebyshev Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/gegenbauer.html b/doc/html/math_toolkit/sf_poly/gegenbauer.html index f463fc451..a101a6ed4 100644 --- a/doc/html/math_toolkit/sf_poly/gegenbauer.html +++ b/doc/html/math_toolkit/sf_poly/gegenbauer.html @@ -3,7 +3,7 @@ Gegenbauer Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html index 0386e624b..091319cb6 100644 --- a/doc/html/math_toolkit/sf_poly/hermite.html +++ b/doc/html/math_toolkit/sf_poly/hermite.html @@ -3,7 +3,7 @@ Hermite Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/jacobi.html b/doc/html/math_toolkit/sf_poly/jacobi.html index f374cba6a..1d7d50678 100644 --- a/doc/html/math_toolkit/sf_poly/jacobi.html +++ b/doc/html/math_toolkit/sf_poly/jacobi.html @@ -3,7 +3,7 @@ Jacobi Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html index 9bfa3487b..3154b9962 100644 --- a/doc/html/math_toolkit/sf_poly/laguerre.html +++ b/doc/html/math_toolkit/sf_poly/laguerre.html @@ -3,7 +3,7 @@ Laguerre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre.html b/doc/html/math_toolkit/sf_poly/legendre.html index e7cad7f17..f54e2d585 100644 --- a/doc/html/math_toolkit/sf_poly/legendre.html +++ b/doc/html/math_toolkit/sf_poly/legendre.html @@ -3,7 +3,7 @@ Legendre (and Associated) Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html index 0320553cf..f9c2cd4c6 100644 --- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html +++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html @@ -3,7 +3,7 @@ Legendre-Stieltjes Polynomials - + diff --git a/doc/html/math_toolkit/sf_poly/sph_harm.html b/doc/html/math_toolkit/sf_poly/sph_harm.html index 4634a1912..ec253e2d5 100644 --- a/doc/html/math_toolkit/sf_poly/sph_harm.html +++ b/doc/html/math_toolkit/sf_poly/sph_harm.html @@ -3,7 +3,7 @@ Spherical Harmonics - + diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html index fe1cbaa1e..2f1975866 100644 --- a/doc/html/math_toolkit/sign_functions.html +++ b/doc/html/math_toolkit/sign_functions.html @@ -3,7 +3,7 @@ Sign Manipulation Functions - + diff --git a/doc/html/math_toolkit/signal_statistics.html b/doc/html/math_toolkit/signal_statistics.html index d18c8f720..3b8eeb2b0 100644 --- a/doc/html/math_toolkit/signal_statistics.html +++ b/doc/html/math_toolkit/signal_statistics.html @@ -3,7 +3,7 @@ Signal Statistics - + diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html index a8714428a..0d71dc168 100644 --- a/doc/html/math_toolkit/sinc.html +++ b/doc/html/math_toolkit/sinc.html @@ -3,7 +3,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions - + @@ -27,7 +27,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions
    -
    +
    Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview
    sinc_pi
    diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html index c5f59d1bf..39dfacc67 100644 --- a/doc/html/math_toolkit/sinc/sinc_overview.html +++ b/doc/html/math_toolkit/sinc/sinc_overview.html @@ -3,7 +3,7 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview - + diff --git a/doc/html/math_toolkit/sinc/sinc_pi.html b/doc/html/math_toolkit/sinc/sinc_pi.html index cd0163fee..e46dfd6f1 100644 --- a/doc/html/math_toolkit/sinc/sinc_pi.html +++ b/doc/html/math_toolkit/sinc/sinc_pi.html @@ -3,7 +3,7 @@ sinc_pi - + diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html index 23c20ebc2..5f87f16d6 100644 --- a/doc/html/math_toolkit/sinc/sinhc_pi.html +++ b/doc/html/math_toolkit/sinc/sinhc_pi.html @@ -3,7 +3,7 @@ sinhc_pi - + diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html index 10d0d1e43..4a1ee1feb 100644 --- a/doc/html/math_toolkit/spec.html +++ b/doc/html/math_toolkit/spec.html @@ -3,7 +3,7 @@ Quaternion Specializations - + diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html index 5af8c366c..9b53782fc 100644 --- a/doc/html/math_toolkit/special_tut.html +++ b/doc/html/math_toolkit/special_tut.html @@ -3,7 +3,7 @@ Tutorial: How to Write a New Special Function - + @@ -27,7 +27,7 @@ Tutorial: How to Write a New Special Function
    -
    + diff --git a/doc/html/math_toolkit/special_tut/special_tut_impl.html b/doc/html/math_toolkit/special_tut/special_tut_impl.html index ac706fdfd..26746c16a 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_impl.html +++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html @@ -3,7 +3,7 @@ Implementation - + diff --git a/doc/html/math_toolkit/special_tut/special_tut_test.html b/doc/html/math_toolkit/special_tut/special_tut_test.html index 05cca2eb8..668b13c02 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_test.html +++ b/doc/html/math_toolkit/special_tut/special_tut_test.html @@ -3,7 +3,7 @@ Testing - + diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html index 77c2db14a..d56ba5b06 100644 --- a/doc/html/math_toolkit/specified_typedefs.html +++ b/doc/html/math_toolkit/specified_typedefs.html @@ -3,7 +3,7 @@ Overview - + diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html index 1f3dd4f85..e3e637d5b 100644 --- a/doc/html/math_toolkit/stat_tut.html +++ b/doc/html/math_toolkit/stat_tut.html @@ -3,7 +3,7 @@ Statistical Distributions Tutorial - + @@ -26,7 +26,7 @@ -
    +
    Overview of Statistical Distributions
    diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html index e1c43dcd4..786dce286 100644 --- a/doc/html/math_toolkit/stat_tut/dist_params.html +++ b/doc/html/math_toolkit/stat_tut/dist_params.html @@ -3,7 +3,7 @@ Discrete Probability Distributions - + diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html index fc832c599..a6c726cee 100644 --- a/doc/html/math_toolkit/stat_tut/overview.html +++ b/doc/html/math_toolkit/stat_tut/overview.html @@ -3,7 +3,7 @@ Overview of Statistical Distributions - + @@ -27,7 +27,7 @@ Overview of Statistical Distributions
    -
    +
    Headers and Namespaces
    Distributions diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html index 85b6f6037..bb6d74583 100644 --- a/doc/html/math_toolkit/stat_tut/overview/complements.html +++ b/doc/html/math_toolkit/stat_tut/overview/complements.html @@ -3,7 +3,7 @@ Complements are supported too - and when to use them - + diff --git a/doc/html/math_toolkit/stat_tut/overview/generic.html b/doc/html/math_toolkit/stat_tut/overview/generic.html index 9484d29db..3f4de23a8 100644 --- a/doc/html/math_toolkit/stat_tut/overview/generic.html +++ b/doc/html/math_toolkit/stat_tut/overview/generic.html @@ -3,7 +3,7 @@ Generic operations common to all distributions are non-member functions - + diff --git a/doc/html/math_toolkit/stat_tut/overview/headers.html b/doc/html/math_toolkit/stat_tut/overview/headers.html index f5f30940c..a421fc4f5 100644 --- a/doc/html/math_toolkit/stat_tut/overview/headers.html +++ b/doc/html/math_toolkit/stat_tut/overview/headers.html @@ -3,7 +3,7 @@ Headers and Namespaces - + diff --git a/doc/html/math_toolkit/stat_tut/overview/objects.html b/doc/html/math_toolkit/stat_tut/overview/objects.html index c9917a342..b64a67bdc 100644 --- a/doc/html/math_toolkit/stat_tut/overview/objects.html +++ b/doc/html/math_toolkit/stat_tut/overview/objects.html @@ -3,7 +3,7 @@ Distributions are Objects - + diff --git a/doc/html/math_toolkit/stat_tut/overview/parameters.html b/doc/html/math_toolkit/stat_tut/overview/parameters.html index 1afd058cc..c706fbce0 100644 --- a/doc/html/math_toolkit/stat_tut/overview/parameters.html +++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html @@ -3,7 +3,7 @@ Parameters can be calculated - + diff --git a/doc/html/math_toolkit/stat_tut/overview/summary.html b/doc/html/math_toolkit/stat_tut/overview/summary.html index 55361988b..91f3799d8 100644 --- a/doc/html/math_toolkit/stat_tut/overview/summary.html +++ b/doc/html/math_toolkit/stat_tut/overview/summary.html @@ -3,7 +3,7 @@ Summary - + diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html index abeea9c38..cba5d62ec 100644 --- a/doc/html/math_toolkit/stat_tut/variates.html +++ b/doc/html/math_toolkit/stat_tut/variates.html @@ -3,7 +3,7 @@ Random Variates and Distribution Parameters - + diff --git a/doc/html/math_toolkit/stat_tut/weg.html b/doc/html/math_toolkit/stat_tut/weg.html index a53465fea..f137abd02 100644 --- a/doc/html/math_toolkit/stat_tut/weg.html +++ b/doc/html/math_toolkit/stat_tut/weg.html @@ -3,7 +3,7 @@ Worked Examples - + @@ -26,7 +26,7 @@ -
    -
    +
    Binomial Coin-Flipping Example
    Binomial diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html index 0f2db8569..4bd6945a0 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html @@ -3,7 +3,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html index 25e97e57d..7863110f7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html @@ -3,7 +3,7 @@ Estimating Sample Sizes for a Binomial Distribution. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html index 5d71ae4f0..11d4cc44b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html @@ -3,7 +3,7 @@ Binomial Coin-Flipping Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html index bff319c56..baeb9528e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -3,7 +3,7 @@ Binomial Quiz Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html index 7b62ee7c9..c5f5d860a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html +++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html @@ -3,7 +3,7 @@ Using the Distributions from Within C# - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html index ba5ff8453..b3681bb3d 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html @@ -3,7 +3,7 @@ Chi Squared Distribution Examples - + @@ -27,7 +27,7 @@ Chi Squared Distribution Examples
    -
    +
    Confidence Intervals on the Standard Deviation
    Chi-Square diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html index 1aa41d6b1..e6fef843c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -3,7 +3,7 @@ Confidence Intervals on the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html index ce0cac74e..cca061a3a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html @@ -3,7 +3,7 @@ Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html index 5ded12e3b..e6e40ae2c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html @@ -3,7 +3,7 @@ Chi-Square Test for the Standard Deviation - + diff --git a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html index 13ad7c19e..2d049861c 100644 --- a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html @@ -3,7 +3,7 @@ Distribution Construction Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/error_eg.html b/doc/html/math_toolkit/stat_tut/weg/error_eg.html index 8554cb823..cb45e43aa 100644 --- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html @@ -3,7 +3,7 @@ Error Handling Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/f_eg.html b/doc/html/math_toolkit/stat_tut/weg/f_eg.html index e3c8a9489..6e00d7529 100644 --- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html @@ -3,7 +3,7 @@ F Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg.html index 2e49c93af..29b7bf1b7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html @@ -3,7 +3,7 @@ Find Location and Scale Examples - + @@ -27,7 +27,7 @@ Find Location and Scale Examples
    -
    +
    Find Location (Mean) Example
    Find diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html index b866b0395..152866e75 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html @@ -3,7 +3,7 @@ Find Location (Mean) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index ea46b790f..1b7ba0283 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -3,7 +3,7 @@ Find mean and standard deviation example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html index ce1382a45..9b4ef6aff 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html @@ -3,7 +3,7 @@ Find Scale (Standard Deviation) Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html index 54d85571c..852ede185 100644 --- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html @@ -3,7 +3,7 @@ Geometric Distribution Examples - + diff --git a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html index ecf1047c0..f246a3770 100644 --- a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html @@ -3,7 +3,7 @@ Inverse Chi-Squared Distribution Bayes Example - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nag_library.html b/doc/html/math_toolkit/stat_tut/weg/nag_library.html index a4ce21012..85bdeaa1e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html +++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html @@ -3,7 +3,7 @@ Comparison with C, R, FORTRAN-style Free Functions - + diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html index 2e6cdb7ce..14c773ab9 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html @@ -3,7 +3,7 @@ Non Central Chi Squared Example - + @@ -27,7 +27,7 @@ Non Central Chi Squared Example
    -
    -
    +
    Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution
    diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html index e161da804..af0549f89 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html @@ -3,7 +3,7 @@ Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html index bedd2cd96..2465d05b5 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html @@ -3,7 +3,7 @@ Estimating Sample Sizes for the Negative Binomial. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html index 5675a2484..b6ad7ad00 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html @@ -3,7 +3,7 @@ Negative Binomial Sales Quota Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html index 929bd2d6d..a456430be 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html @@ -3,7 +3,7 @@ Negative Binomial Table Printing Example. - + diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example.html b/doc/html/math_toolkit/stat_tut/weg/normal_example.html index 781a7b70c..9a9697c5f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html @@ -3,7 +3,7 @@ Normal Distribution Examples - + @@ -27,7 +27,7 @@ Normal Distribution Examples
    -
    -
    +
    Calculating confidence intervals on the mean with the Students-t distribution
    Testing diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html index 27564d099..0c7c36cf1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html @@ -3,7 +3,7 @@ Comparing two paired samples with the Student's t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html index 555cd75ba..5a71d7ecb 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html @@ -3,7 +3,7 @@ Calculating confidence intervals on the mean with the Students-t distribution - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html index 36af7b2e1..a5f723653 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html @@ -3,7 +3,7 @@ Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html index 9ecc076e9..f41b85211 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html @@ -3,7 +3,7 @@ Testing a sample mean for difference from a "true" mean - + diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html index 33f270a7a..3adce083e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html @@ -3,7 +3,7 @@ Comparing the means of two samples with the Students-t test - + diff --git a/doc/html/math_toolkit/t_test.html b/doc/html/math_toolkit/t_test.html index cbe47dcb6..05c33c2b9 100644 --- a/doc/html/math_toolkit/t_test.html +++ b/doc/html/math_toolkit/t_test.html @@ -3,7 +3,7 @@ t-tests - + @@ -55,7 +55,7 @@ value?" The test statistic is

    - +

    where µ0 is the assumed mean, s2 is the sample variance, diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html index 3051105c4..6fe7f07a3 100644 --- a/doc/html/math_toolkit/threads.html +++ b/doc/html/math_toolkit/threads.html @@ -3,7 +3,7 @@ Thread Safety - + diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html index 82b6f2e1c..56930e4ef 100644 --- a/doc/html/math_toolkit/tr1_ref.html +++ b/doc/html/math_toolkit/tr1_ref.html @@ -3,7 +3,7 @@ TR1 C Functions Quick Reference - + diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html index 94a0292a6..e4e7c496e 100644 --- a/doc/html/math_toolkit/tradoffs.html +++ b/doc/html/math_toolkit/tradoffs.html @@ -3,7 +3,7 @@ Trading Accuracy for Performance - + diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html index 772d3d5c2..a0fcc0ede 100644 --- a/doc/html/math_toolkit/trans.html +++ b/doc/html/math_toolkit/trans.html @@ -3,7 +3,7 @@ Quaternion Transcendentals - + diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html index 02220f464..6e2900dae 100644 --- a/doc/html/math_toolkit/trapezoidal.html +++ b/doc/html/math_toolkit/trapezoidal.html @@ -3,7 +3,7 @@ Trapezoidal Quadrature - + diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html index f3c66d736..73d4adc67 100644 --- a/doc/html/math_toolkit/tuning.html +++ b/doc/html/math_toolkit/tuning.html @@ -3,7 +3,7 @@ Performance Tuning Macros - + diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html index d553bf72b..d7ca32f24 100644 --- a/doc/html/math_toolkit/tutorial.html +++ b/doc/html/math_toolkit/tutorial.html @@ -3,7 +3,7 @@ Tutorial - + @@ -26,7 +26,7 @@

    -
    +
    Use in non-template code
    Use in template code
    diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html index 1364fb380..62f60dac9 100644 --- a/doc/html/math_toolkit/tutorial/non_templ.html +++ b/doc/html/math_toolkit/tutorial/non_templ.html @@ -3,7 +3,7 @@ Use in non-template code - + diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html index 400ef0f53..68d57a47b 100644 --- a/doc/html/math_toolkit/tutorial/templ.html +++ b/doc/html/math_toolkit/tutorial/templ.html @@ -3,7 +3,7 @@ Use in template code - + diff --git a/doc/html/math_toolkit/tutorial/user_def.html b/doc/html/math_toolkit/tutorial/user_def.html index 027feeaee..075d4c459 100644 --- a/doc/html/math_toolkit/tutorial/user_def.html +++ b/doc/html/math_toolkit/tutorial/user_def.html @@ -3,7 +3,7 @@ Use With User-Defined Types - + diff --git a/doc/html/math_toolkit/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index 67cabb17d..e7a691df4 100644 --- a/doc/html/math_toolkit/univariate_statistics.html +++ b/doc/html/math_toolkit/univariate_statistics.html @@ -3,7 +3,7 @@ Univariate Statistics - + diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html index a52407ed1..4a46e101e 100644 --- a/doc/html/math_toolkit/value_op.html +++ b/doc/html/math_toolkit/value_op.html @@ -3,7 +3,7 @@ Quaternion Value Operations - + diff --git a/doc/html/math_toolkit/vector_barycentric.html b/doc/html/math_toolkit/vector_barycentric.html index 54aed2e8e..0fea01d35 100644 --- a/doc/html/math_toolkit/vector_barycentric.html +++ b/doc/html/math_toolkit/vector_barycentric.html @@ -3,7 +3,7 @@ Vector-valued Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index 4d0f8a3d0..444813531 100644 --- a/doc/html/math_toolkit/whittaker_shannon.html +++ b/doc/html/math_toolkit/whittaker_shannon.html @@ -3,7 +3,7 @@ Whittaker-Shannon interpolation - + diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html index b609b88dd..0c5514ece 100644 --- a/doc/html/math_toolkit/zetas.html +++ b/doc/html/math_toolkit/zetas.html @@ -3,7 +3,7 @@ Zeta Functions - + @@ -26,7 +26,7 @@ - +
    diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html index c459ca0f6..e8bb4c9d4 100644 --- a/doc/html/math_toolkit/zetas/zeta.html +++ b/doc/html/math_toolkit/zetas/zeta.html @@ -3,7 +3,7 @@ Riemann Zeta Function - + diff --git a/doc/html/octonions.html b/doc/html/octonions.html index a9087d91b..e6f709a20 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -3,7 +3,7 @@ Chapter 16. Octonions - + @@ -27,7 +27,7 @@ Chapter 16. Octonions

    Table of Contents

    -
    +
    Overview
    Header File
    Synopsis
    diff --git a/doc/html/overview.html b/doc/html/overview.html index 3c8c70a65..c336ed6a9 100644 --- a/doc/html/overview.html +++ b/doc/html/overview.html @@ -3,7 +3,7 @@ Chapter 1. Overview - + @@ -27,7 +27,7 @@ Chapter 1. Overview

    Table of Contents

    -
    +
    About the Math Toolkit
    Navigation
    Document Conventions
    diff --git a/doc/html/perf.html b/doc/html/perf.html index 241eb05a2..ca6d17a6f 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -3,7 +3,7 @@ Chapter 21. Performance - + @@ -27,7 +27,7 @@ Chapter 21. Performance

    Table of Contents

    -
    +
    Policy Overview
    Policy Tutorial
    diff --git a/doc/html/poly.html b/doc/html/poly.html index 524b75264..d404c6b2c 100644 --- a/doc/html/poly.html +++ b/doc/html/poly.html @@ -3,7 +3,7 @@ Chapter 11. Polynomials and Rational Functions - + @@ -27,7 +27,7 @@ Chapter 11. Polynomials and Rational Functions

    Table of Contents

    -
    +
    Polynomials
    Polynomial and Rational Function Evaluation
    diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index f743cfd74..238fcea04 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -3,7 +3,7 @@ Chapter 13. Quadrature and Differentiation - + @@ -27,7 +27,7 @@ Chapter 13. Quadrature and Differentiation

    Table of Contents

    -
    +
    Trapezoidal Quadrature
    Gauss-Legendre quadrature
    Gauss-Kronrod Quadrature
    diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html index fa026ee5a..593d529e1 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -3,7 +3,7 @@ Chapter 15. Quaternions - + @@ -27,7 +27,7 @@ Chapter 15. Quaternions

    Table of Contents

    -
    +
    Overview
    Header File
    Synopsis
    diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index b74663ae8..5c3661ff2 100644 --- a/doc/html/root_finding.html +++ b/doc/html/root_finding.html @@ -3,7 +3,7 @@ Chapter 10. Root Finding & Minimization Algorithms - + @@ -27,7 +27,7 @@ Chapter 10. Root Finding & Minimization Algorithms

    Table of Contents

    -
    +
    Root Finding Without Derivatives
    Bisection
    diff --git a/doc/html/special.html b/doc/html/special.html index d5e7bbd77..ac5e4e388 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -3,7 +3,7 @@ Chapter 8. Special Functions - + @@ -27,7 +27,7 @@ Chapter 8. Special Functions
    diff --git a/doc/html/status.html b/doc/html/status.html index f8f71c9df..001561d97 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -3,7 +3,7 @@ Chapter 23. Library Status - + @@ -27,7 +27,7 @@ Chapter 23. Library Status

    Table of Contents

    -
    +
    History and What's New
    Known Issues, and TODO List
    Credits and Acknowledgements
    diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html index dc9ee1df0..b7b4e1da3 100644 --- a/doc/html/using_udt.html +++ b/doc/html/using_udt.html @@ -3,7 +3,7 @@ Chapter 19. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others - + @@ -28,7 +28,7 @@ others

    Table of Contents

    -
    +
    Using Boost.Math with High-Precision Floating-Point Libraries
    diff --git a/doc/html/utils.html b/doc/html/utils.html index e9fa6f9f6..b26513a5e 100644 --- a/doc/html/utils.html +++ b/doc/html/utils.html @@ -3,7 +3,7 @@ Chapter 2. Floating Point Utilities - + @@ -27,7 +27,7 @@ Chapter 2. Floating Point Utilities

    Table of Contents

    -
    +
    Rounding Truncation and Integer Conversion
    diff --git a/doc/html/vector_functionals.html b/doc/html/vector_functionals.html index d71d2865a..91da59666 100644 --- a/doc/html/vector_functionals.html +++ b/doc/html/vector_functionals.html @@ -3,10 +3,10 @@ Chapter 7. Vector Functionals - Norms - + - + @@ -20,14 +20,14 @@

    -PrevUpHomeNext +PrevUpHomeNext

    Chapter 7. Vector Functionals - Norms

    Table of Contents

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/math.qbk b/doc/math.qbk index bd60c40f4..e522d36ee 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -427,7 +427,7 @@ and use the function's name as the link text.] [def __multiprecision [@boost:/libs/multiprecision/doc/html/index.html Boost.Multiprecision]] [def __gcc_quad_type [@https://gcc.gnu.org/onlinedocs/gcc-9.1.0/libquadmath/index.html GCC 128-bit floating-point type]] - +[def __float128_literals [@boost:/libs/multiprecision/doc/html/boost_multiprecision/tut/lits.html Boost.Multiprecision 128-bit Q floating-point literals]] [def __cpp_dec_float [@boost:/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html cpp_dec_float]] [def __cpp_bin_float [@boost:/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/cpp_bin_float.html cpp_bin_float]] [/ @boost:/libs/test/doc/index.html doesn't work for Boost.Test non-quickbook, so use instead] @@ -478,6 +478,9 @@ and use the function's name as the link text.] [def __github [@github.com GitHub]] [def __github_boost [@https://github.com/boostorg Boost GitHub]] [def __github_math [@https://github.com/boostorg/math Boost.Math GitHub]] +[def __github_multiprecision [@https://github.com/boostorg/math Boost.Multiprecision GitHub]] + + [/ Some composite templates] [template super[x]''''''[x]''''''] [template sub[x]''''''[x]''''''] diff --git a/example/big_seventh.cpp b/example/big_seventh.cpp new file mode 100644 index 000000000..7f3a3b0d9 --- /dev/null +++ b/example/big_seventh.cpp @@ -0,0 +1,204 @@ +// Use, modification and distribution are subject to 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) + +// Copyright Paul A. Bristow 2019. +// Copyright Christopher Kormanyos 2012. +// Copyright John Maddock 2012. + +// This file is written to be included from a Quickbook .qbk document. +// It can be compiled by the C++ compiler, and run. Any output can +// also be added here as comment or included or pasted in elsewhere. +// Caution: this file contains Quickbook markup as well as code +// and comments: don't change any of the special comment markups! + +#ifdef _MSC_VER +#pragma warning(disable : 4512) // assignment operator could not be generated. +#pragma warning(disable : 4996) +#endif + +//[big_seventh_example_1 + +/*`[h5 Using Boost.Multiprecision `cpp_float` types for numerical calculations with higher precision than built-in `long double`.] + +The Boost.Multiprecision library can be used for computations requiring precision +exceeding that of standard built-in types such as `float`, `double` +and `long double`. For extended-precision calculations, Boost.Multiprecision +supplies several template data types called `cpp_bin_float_`. + +The number of decimal digits of precision is fixed at compile-time via template parameter. + +To use these floating-point types and +[@https://www.boost.org/doc/libs/release/libs/math/doc/html/constants.html Boost.Math collection of high-precision constants], +we need some includes: +*/ + +#include + +#include +// that includes some predefined typedefs that can be used thus: +// using boost::multiprecision::cpp_bin_float_quad; +// using boost::multiprecision::cpp_bin_float_50; +// using boost::multiprecision::cpp_bin_float_100; + +#include +#include +#include + +/*` So now we can demonstrate with some trivial calculations: +*/ + +//] //[big_seventh_example_1] + +void no_et() +{ + using namespace boost::multiprecision; + + std::cout.setf(std::ios_base::boolalpha); + + typedef number, et_on> cpp_bin_float_quad_et_on; + typedef number, et_off> cpp_bin_float_quad_et_off; + + typedef number, et_off> cpp_bin_float_oct; + + + cpp_bin_float_quad x("42."); + std::cout << "cpp_bin_float_quad x = " << x << std::endl; + + cpp_bin_float_quad_et_on q("42."); + + std::cout << "std::is_same::value is " << std::is_same::value << std::endl; + std::cout << "std::is_same::value is " << std::is_same::value << std::endl; + + std::cout << "cpp_bin_float_quad_et_on q = " << q << std::endl; + cpp_bin_float_50 y("42."); // typedef number > cpp_bin_float_50; + + std::cout << "cpp_bin_float_50 y = " << y << std::endl; + + typedef number, et_off > cpp_bin_float_50_no_et; + typedef number, et_on > cpp_bin_float_50_et; + + cpp_bin_float_50_no_et z("42."); // typedef number > cpp_bin_float_50; + + std::cout << "cpp_bin_float_50_no_et z = " << z << std::endl; + + std::cout << " std::is_same::value is " << std::is_same::value << std::endl; + std::cout << " std::is_same::value is " << std::is_same::value << std::endl; + +} // void no_et() + +int main() +{ + + no_et(); + + return 0; + + + //[big_seventh_example_2 + /*`Using `typedef cpp_bin_float_50` hides the complexity of multiprecision, +allows us to define variables with 50 decimal digit precision just like built-in `double`. +*/ + using boost::multiprecision::cpp_bin_float_50; + + cpp_bin_float_50 seventh = cpp_bin_float_50(1) / 7; // 1 / 7 + + /*`By default, output would only show the standard 6 decimal digits, + so set precision to show all 50 significant digits, including any trailing zeros. +*/ + std::cout.precision(std::numeric_limits::digits10); + std::cout << std::showpoint << std::endl; // Append any trailing zeros. + std::cout << seventh << std::endl; + /*`which outputs: + + 0.14285714285714285714285714285714285714285714285714 + +We can also use __math_constants like [pi], +guaranteed to be initialized with the very last bit of precision (__ULP) for the floating-point type. +*/ + std::cout << "pi = " << boost::math::constants::pi() << std::endl; + cpp_bin_float_50 circumference = boost::math::constants::pi() * 2 * seventh; + std::cout << "c = " << circumference << std::endl; + + /*`which outputs + + pi = 3.1415926535897932384626433832795028841971693993751 + + c = 0.89759790102565521098932668093700082405633411410717 +*/ + //] [/big_seventh_example_2] + + //[big_seventh_example_3 + /*`So using `cpp_bin_float_50` looks like a simple 'drop-in' for the __fundamental_type like 'double', +but beware of loss of precision from construction or conversion from `double` or other lower precision types. +This is a mistake that is very easy to make, +and very difficult to detect because the loss of precision is only visible after the 17th decimal digit. + +We can show this by constructing from `double`, (avoiding the schoolboy-error `double d7 = 1 / 7;` giving zero!) +*/ + + double d7 = 1. / 7; // + std::cout << "d7 = " << d7 << std::endl; + + cpp_bin_float_50 seventh_0 = cpp_bin_float_50(1 / 7); // Avoid the schoolboy-error 1 / 7 == 0!) + std::cout << "seventh_0 = " << seventh_0 << std::endl; + // seventh_double0 = 0.0000000000000000000000000000000000000000000000000 + + cpp_bin_float_50 seventh_double = cpp_bin_float_50(1. / 7); // Construct from double! + std::cout << "seventh_double = " << seventh_double << std::endl; // Boost.Multiprecision post-school error! + // seventh_double = 0.14285714285714284921269268124888185411691665649414 + + /*`Did you spot the mistake? After the 17th decimal digit, result is random! + +14285714285714 should be recurring. +*/ + + cpp_bin_float_50 seventh_big(1); // 1 + seventh_big /= 7; + std::cout << "seventh_big = " << seventh_big << std::endl; // + // seventh_big = 0.14285714285714285714285714285714285714285714285714 + /*`Note the recurring 14285714285714 pattern as expected. + +As one would expect, the variable can be `const` (but sadly [*not yet `constexpr`]). +*/ + + const cpp_bin_float_50 seventh_const(cpp_bin_float_50(1) / 7); + std::cout << "seventh_const = " << seventh_const << std::endl; + // seventh_const = 0.14285714285714285714285714285714285714285714285714 + +/*`The full output is: +*/ + +//] [/big_seventh_example_3 + +//[big_seventh_example_constexpr + +// Sadly we cannot (yet) write: +// constexpr cpp_bin_float_50 any_constexpr(0); + +// constexpr cpp_bin_float_50 seventh_constexpr (cpp_bin_float_50(1) / 7); +// std::cout << "seventh_constexpr = " << seventh_constexpr << std::endl; // +// nor use the macro BOOST_CONSTEXPR_OR_CONST unless it returns `const` +// BOOST_CONSTEXPR_OR_CONST cpp_bin_float_50 seventh_constexpr(seventh_const); + +//] [/big_seventh_example_constexpr + + return 0; +} // int main() + +/* +//[big_seventh_example_output + +0.14285714285714285714285714285714285714285714285714 +pi = 3.1415926535897932384626433832795028841971693993751 +c = 0.89759790102565521098932668093700082405633411410717 +d7 = 0.14285714285714284921269268124888185411691665649414 +seventh_0 = 0.0000000000000000000000000000000000000000000000000 +seventh_double = 0.14285714285714284921269268124888185411691665649414 +seventh_big = 0.14285714285714285714285714285714285714285714285714 +seventh_const = 0.14285714285714285714285714285714285714285714285714 + +//] //[big_seventh_example_output] + +*/