From bf57b10febb80628ce76672c4945d8272e12eead Mon Sep 17 00:00:00 2001 From: jzmaddock Date: Sun, 27 May 2018 17:38:50 +0100 Subject: [PATCH] Documentation update [CI SKIP] --- doc/html/backgrounders.html | 4 +- doc/html/constants.html | 4 +- doc/html/cstdfloat.html | 4 +- doc/html/dist.html | 4 +- doc/html/extern_c.html | 4 +- doc/html/gcd_lcm.html | 4 +- doc/html/index.html | 8 +- doc/html/indexes.html | 4 +- doc/html/indexes/s01.html | 8 +- doc/html/indexes/s02.html | 4 +- doc/html/indexes/s03.html | 4 +- doc/html/indexes/s04.html | 4 +- doc/html/indexes/s05.html | 34 +++---- doc/html/internals.html | 4 +- doc/html/interpolation.html | 4 +- doc/html/inverse_complex.html | 4 +- doc/html/math_toolkit/acknowledgement.html | 2 +- doc/html/math_toolkit/acknowledgements.html | 2 +- doc/html/math_toolkit/acos.html | 2 +- doc/html/math_toolkit/acosh.html | 2 +- doc/html/math_toolkit/airy.html | 2 +- doc/html/math_toolkit/airy/ai.html | 2 +- doc/html/math_toolkit/airy/aip.html | 2 +- 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doc/html/math_toolkit/tuning.html | 2 +- doc/html/math_toolkit/tutorial.html | 2 +- doc/html/math_toolkit/tutorial/non_templ.html | 2 +- doc/html/math_toolkit/tutorial/templ.html | 2 +- doc/html/math_toolkit/tutorial/user_def.html | 2 +- doc/html/math_toolkit/value_op.html | 2 +- doc/html/math_toolkit/zetas.html | 2 +- doc/html/math_toolkit/zetas/zeta.html | 2 +- doc/html/octonions.html | 4 +- doc/html/overview.html | 6 +- doc/html/perf.html | 4 +- doc/html/policy.html | 4 +- doc/html/poly.html | 4 +- doc/html/quadrature.html | 8 +- doc/html/quaternions.html | 4 +- doc/html/root_finding.html | 4 +- doc/html/special.html | 4 +- doc/html/status.html | 4 +- doc/html/using_udt.html | 4 +- doc/html/utils.html | 4 +- doc/math.qbk | 2 +- doc/overview/roadmap.qbk | 5 ++ 420 files changed, 705 insertions(+), 590 deletions(-) diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index cd088bf17..22e2550fc 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,8 +4,8 @@ Chapter 20. Backgrounders - - + + diff --git a/doc/html/constants.html b/doc/html/constants.html index e197d46df..04a1c1de3 100644 --- a/doc/html/constants.html +++ b/doc/html/constants.html @@ -4,8 +4,8 @@ Chapter 4. Mathematical Constants - - + + diff --git a/doc/html/cstdfloat.html b/doc/html/cstdfloat.html index 9b30432b4..ca4a327e5 100644 --- a/doc/html/cstdfloat.html +++ b/doc/html/cstdfloat.html @@ -4,8 +4,8 @@ Chapter 3. Specified-width floating-point typedefs - - + + diff --git a/doc/html/dist.html b/doc/html/dist.html index a7098f23a..9d795a394 100644 --- a/doc/html/dist.html +++ b/doc/html/dist.html @@ -4,8 +4,8 @@ Chapter 5. Statistical Distributions and Functions - - + + diff --git a/doc/html/extern_c.html b/doc/html/extern_c.html index 5e3682d64..6c4e1b7e0 100644 --- a/doc/html/extern_c.html +++ b/doc/html/extern_c.html @@ -4,8 +4,8 @@ Chapter 7. TR1 and C99 external "C" Functions - - + + diff --git a/doc/html/gcd_lcm.html b/doc/html/gcd_lcm.html index ced710237..9181914e3 100644 --- a/doc/html/gcd_lcm.html +++ b/doc/html/gcd_lcm.html @@ -4,8 +4,8 @@ Chapter 15. Integer Utilities (Greatest Common Divisor and Least Common Multiple) - - + + diff --git a/doc/html/index.html b/doc/html/index.html index 6752b91c9..8aade535b 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -1,10 +1,10 @@ -Math Toolkit 2.6.0 +Math Toolkit 2.6.1 - + @@ -22,7 +22,7 @@

-Math Toolkit 2.6.0

+Math Toolkit 2.6.1

Nikhar Agrawal @@ -122,7 +122,7 @@ This manual is also available in -

Last revised: March 09, 2018 at 17:13:50 GMT

+

Last revised: May 27, 2018 at 16:35:32 GMT

diff --git a/doc/html/indexes.html b/doc/html/indexes.html index 538d30061..7512074c1 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -4,8 +4,8 @@ Chapter 22. Indexes - - + + diff --git a/doc/html/indexes/s01.html b/doc/html/indexes/s01.html index 8caabebdb..66291426e 100644 --- a/doc/html/indexes/s01.html +++ b/doc/html/indexes/s01.html @@ -4,7 +4,7 @@ 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

@@ -2112,7 +2112,6 @@

  • n

  • @@ -2887,7 +2887,7 @@

  • trapezoidal

    -
    +

  • trigamma

  • diff --git a/doc/html/indexes/s02.html b/doc/html/indexes/s02.html index 2a6e535ee..1340c5a27 100644 --- a/doc/html/indexes/s02.html +++ b/doc/html/indexes/s02.html @@ -4,7 +4,7 @@ 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 W

    diff --git a/doc/html/indexes/s03.html b/doc/html/indexes/s03.html index cbec1d14a..575392328 100644 --- a/doc/html/indexes/s03.html +++ b/doc/html/indexes/s03.html @@ -4,7 +4,7 @@ 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 e0f67b820..d60fe86f3 100644 --- a/doc/html/indexes/s04.html +++ b/doc/html/indexes/s04.html @@ -4,7 +4,7 @@ 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 f2dc816a5..c21aa0a95 100644 --- a/doc/html/indexes/s05.html +++ b/doc/html/indexes/s05.html @@ -4,7 +4,7 @@ Index - + @@ -23,7 +23,7 @@

    -Index

    +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

    @@ -81,7 +81,6 @@
  • -

    Adaptive Trapezoidal Quadrature

    -
    -
    • -

  • Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance

    • float_advance

      • @@ -1882,7 +1872,6 @@

    • constants

        -

      • Adaptive Trapezoidal Quadrature

      • Additional Implementation Notes

      • Barycentric Rational Interpolation

      • Binomial Distribution

        • @@ -1928,6 +1917,7 @@

      • The Lanczos Approximation

      • The Mathematical Constants

      • The Remez Method

        • +

      • Trapezoidal Quadrature

      • Uniform Distribution

      • Use in non-template code

      • Use in template code

        • @@ -5317,7 +5307,6 @@

      • n

      • @@ -5821,7 +5811,6 @@

        performance

        @@ -7171,7 +7161,17 @@

      • trapezoidal

        -
        +
        +
        • +
      • +

        Trapezoidal Quadrature

        +

      • triangular

        diff --git a/doc/html/internals.html b/doc/html/internals.html index e6cfd0ffc..03e3f8bb6 100644 --- a/doc/html/internals.html +++ b/doc/html/internals.html @@ -4,8 +4,8 @@ Chapter 16. Internal Details: Series, Rationals and Continued Fractions, Testing, and Development Tools - - + + diff --git a/doc/html/interpolation.html b/doc/html/interpolation.html index 1b5c5b8f7..40e50f04e 100644 --- a/doc/html/interpolation.html +++ b/doc/html/interpolation.html @@ -4,8 +4,8 @@ Chapter 10. Interpolation - - + + diff --git a/doc/html/inverse_complex.html b/doc/html/inverse_complex.html index e8699c07e..e541a0812 100644 --- a/doc/html/inverse_complex.html +++ b/doc/html/inverse_complex.html @@ -4,8 +4,8 @@ Chapter 12. Complex Number Functions - - + + diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index ce1ad3d54..4a5f06537 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -4,7 +4,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acknowledgements.html b/doc/html/math_toolkit/acknowledgements.html index 936eba76a..e260ab47c 100644 --- a/doc/html/math_toolkit/acknowledgements.html +++ b/doc/html/math_toolkit/acknowledgements.html @@ -4,7 +4,7 @@ Acknowledgements - + diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index a03657d23..e08122a63 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -4,7 +4,7 @@ acos - + diff --git a/doc/html/math_toolkit/acosh.html b/doc/html/math_toolkit/acosh.html index af1af023e..8b9e7a62f 100644 --- a/doc/html/math_toolkit/acosh.html +++ b/doc/html/math_toolkit/acosh.html @@ -4,7 +4,7 @@ acosh - + diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index 9b49a7ae6..ee96e1b3c 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -4,7 +4,7 @@ Airy Functions - + diff --git a/doc/html/math_toolkit/airy/ai.html b/doc/html/math_toolkit/airy/ai.html index 4ee2b9c66..2cfd4c117 100644 --- a/doc/html/math_toolkit/airy/ai.html +++ b/doc/html/math_toolkit/airy/ai.html @@ -4,7 +4,7 @@ Airy Ai Function - + diff --git a/doc/html/math_toolkit/airy/aip.html b/doc/html/math_toolkit/airy/aip.html index 79997082b..8fe0d1932 100644 --- a/doc/html/math_toolkit/airy/aip.html +++ b/doc/html/math_toolkit/airy/aip.html @@ -4,7 +4,7 @@ Airy Ai' Function - + diff --git a/doc/html/math_toolkit/airy/airy_root.html b/doc/html/math_toolkit/airy/airy_root.html index cad94427e..0e99df128 100644 --- a/doc/html/math_toolkit/airy/airy_root.html +++ b/doc/html/math_toolkit/airy/airy_root.html @@ -4,7 +4,7 @@ Finding Zeros of Airy Functions - + diff --git a/doc/html/math_toolkit/airy/bi.html b/doc/html/math_toolkit/airy/bi.html index 8d1da596a..7c464a6a1 100644 --- a/doc/html/math_toolkit/airy/bi.html +++ b/doc/html/math_toolkit/airy/bi.html @@ -4,7 +4,7 @@ Airy Bi Function - + diff --git a/doc/html/math_toolkit/airy/bip.html b/doc/html/math_toolkit/airy/bip.html index 239448203..2c1649632 100644 --- a/doc/html/math_toolkit/airy/bip.html +++ b/doc/html/math_toolkit/airy/bip.html @@ -4,7 +4,7 @@ Airy Bi' Function - + diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index e8dd97821..632fd8182 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -4,7 +4,7 @@ Conceptual Archetypes for Reals and Distributions - + diff --git a/doc/html/math_toolkit/asin.html b/doc/html/math_toolkit/asin.html index 8e98e9a66..0849e3cc4 100644 --- a/doc/html/math_toolkit/asin.html +++ b/doc/html/math_toolkit/asin.html @@ -4,7 +4,7 @@ asin - + diff --git a/doc/html/math_toolkit/asinh.html b/doc/html/math_toolkit/asinh.html index f47b4ca03..68c5ea00a 100644 --- a/doc/html/math_toolkit/asinh.html +++ b/doc/html/math_toolkit/asinh.html @@ -4,7 +4,7 @@ asinh - + diff --git a/doc/html/math_toolkit/atan.html b/doc/html/math_toolkit/atan.html index 395fc94fa..190a2080e 100644 --- a/doc/html/math_toolkit/atan.html +++ b/doc/html/math_toolkit/atan.html @@ -4,7 +4,7 @@ atan - + diff --git a/doc/html/math_toolkit/atanh.html b/doc/html/math_toolkit/atanh.html index c4d9747a7..caa24e95a 100644 --- a/doc/html/math_toolkit/atanh.html +++ b/doc/html/math_toolkit/atanh.html @@ -4,7 +4,7 @@ atanh - + diff --git a/doc/html/math_toolkit/bad_guess.html b/doc/html/math_toolkit/bad_guess.html index 9bf8c3f45..00b3a81ca 100644 --- a/doc/html/math_toolkit/bad_guess.html +++ b/doc/html/math_toolkit/bad_guess.html @@ -4,7 +4,7 @@ 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 31dfdcf85..ea6b9bf50 100644 --- a/doc/html/math_toolkit/bad_roots.html +++ b/doc/html/math_toolkit/bad_roots.html @@ -4,7 +4,7 @@ Examples Where Root Finding Goes Wrong - + diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index cd5b62f37..2e2a65c0b 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -4,7 +4,7 @@ Barycentric Rational Interpolation - + diff --git a/doc/html/math_toolkit/bessel.html b/doc/html/math_toolkit/bessel.html index 0223bc911..c314b4098 100644 --- a/doc/html/math_toolkit/bessel.html +++ b/doc/html/math_toolkit/bessel.html @@ -4,7 +4,7 @@ Bessel Functions - + diff --git a/doc/html/math_toolkit/bessel/bessel_derivatives.html b/doc/html/math_toolkit/bessel/bessel_derivatives.html index 08dc466c3..6179eb003 100644 --- a/doc/html/math_toolkit/bessel/bessel_derivatives.html +++ b/doc/html/math_toolkit/bessel/bessel_derivatives.html @@ -4,7 +4,7 @@ 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 844f3bc75..0f7b6f5d1 100644 --- a/doc/html/math_toolkit/bessel/bessel_first.html +++ b/doc/html/math_toolkit/bessel/bessel_first.html @@ -4,7 +4,7 @@ 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 d1e1b0624..4fad60373 100644 --- a/doc/html/math_toolkit/bessel/bessel_over.html +++ b/doc/html/math_toolkit/bessel/bessel_over.html @@ -4,7 +4,7 @@ Bessel Function Overview - + diff --git a/doc/html/math_toolkit/bessel/bessel_root.html b/doc/html/math_toolkit/bessel/bessel_root.html index 5e5074c96..eb681e2d6 100644 --- a/doc/html/math_toolkit/bessel/bessel_root.html +++ b/doc/html/math_toolkit/bessel/bessel_root.html @@ -4,7 +4,7 @@ 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 539e902b8..3c0ee3f4b 100644 --- a/doc/html/math_toolkit/bessel/mbessel.html +++ b/doc/html/math_toolkit/bessel/mbessel.html @@ -4,7 +4,7 @@ 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 1e2538287..8da3309dd 100644 --- a/doc/html/math_toolkit/bessel/sph_bessel.html +++ b/doc/html/math_toolkit/bessel/sph_bessel.html @@ -4,7 +4,7 @@ Spherical Bessel Functions of the First and Second Kinds - + diff --git a/doc/html/math_toolkit/brent_minima.html b/doc/html/math_toolkit/brent_minima.html index 86db11c30..008c75e62 100644 --- a/doc/html/math_toolkit/brent_minima.html +++ b/doc/html/math_toolkit/brent_minima.html @@ -4,7 +4,7 @@ Locating Function Minima using Brent's algorithm - + diff --git a/doc/html/math_toolkit/building.html b/doc/html/math_toolkit/building.html index 8baa83b56..3b95abf04 100644 --- a/doc/html/math_toolkit/building.html +++ b/doc/html/math_toolkit/building.html @@ -4,7 +4,7 @@ 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 176f039fa..e60f4a96f 100644 --- a/doc/html/math_toolkit/c99.html +++ b/doc/html/math_toolkit/c99.html @@ -4,7 +4,7 @@ C99 C Functions - + diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index 446e1f556..97101be95 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -4,7 +4,7 @@ Comparing Different Compilers - + diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index d86836623..0f471a91c 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -4,7 +4,7 @@ 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 9e627e3f1..4b31a4418 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -4,7 +4,7 @@ Compilers - + diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index fe3f2661f..72df6c856 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -4,7 +4,7 @@ History - + diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index 10a6c9f3e..938a3c08e 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -4,7 +4,7 @@ Implementation and Accuracy - + diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index 90b47a215..a094ae188 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -4,7 +4,7 @@ Configuration Macros - + diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index a1e59c682..5348a05dd 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -4,7 +4,7 @@ The Mathematical Constants - + diff --git a/doc/html/math_toolkit/constants_faq.html b/doc/html/math_toolkit/constants_faq.html index 6676206ab..b80baf210 100644 --- a/doc/html/math_toolkit/constants_faq.html +++ b/doc/html/math_toolkit/constants_faq.html @@ -4,7 +4,7 @@ FAQs - + diff --git a/doc/html/math_toolkit/constants_intro.html b/doc/html/math_toolkit/constants_intro.html index a635096d0..39a33ae1d 100644 --- a/doc/html/math_toolkit/constants_intro.html +++ b/doc/html/math_toolkit/constants_intro.html @@ -4,7 +4,7 @@ Introduction - + diff --git a/doc/html/math_toolkit/contact.html b/doc/html/math_toolkit/contact.html index 6a8dd76aa..05abfc263 100644 --- a/doc/html/math_toolkit/contact.html +++ b/doc/html/math_toolkit/contact.html @@ -4,7 +4,7 @@ Contact Info and Support - + diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index 9c7b2d563..9bc9a3aa6 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -4,7 +4,7 @@ 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 2b0b9c634..39a96cc63 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -4,7 +4,7 @@ Quaternion Creation Functions - + diff --git a/doc/html/math_toolkit/credits.html b/doc/html/math_toolkit/credits.html index 208c7f76b..c36e98240 100644 --- a/doc/html/math_toolkit/credits.html +++ b/doc/html/math_toolkit/credits.html @@ -4,7 +4,7 @@ Credits and Acknowledgements - + diff --git a/doc/html/math_toolkit/cubic_b.html b/doc/html/math_toolkit/cubic_b.html index 86d88b24b..3492ae224 100644 --- a/doc/html/math_toolkit/cubic_b.html +++ b/doc/html/math_toolkit/cubic_b.html @@ -4,7 +4,7 @@ Cubic B-spline interpolation - + @@ -231,7 +231,7 @@ // An eyeball estimate indicates that the population crossed 100 million around 1915. // Let's see what interpolation says: - boost::math::cubic_b_spline<double> p(population.data(), population.size(), t0, 10); + boost::math::cubic_b_spline<double> p(population.data(), population.size(), t0, time_step); // Now create a function which has a zero at p = 100,000,000: auto f = [=](double t){ return p(t) - 100000000; }; diff --git a/doc/html/math_toolkit/diff.html b/doc/html/math_toolkit/diff.html index 3b4e696f8..7ec4757c4 100644 --- a/doc/html/math_toolkit/diff.html +++ b/doc/html/math_toolkit/diff.html @@ -4,7 +4,7 @@ Numerical Differentiation - + diff --git a/doc/html/math_toolkit/directories.html b/doc/html/math_toolkit/directories.html index 2f4ea7530..09ebbbcaf 100644 --- a/doc/html/math_toolkit/directories.html +++ b/doc/html/math_toolkit/directories.html @@ -4,7 +4,7 @@ Directory and File Structure - + diff --git a/doc/html/math_toolkit/dist_concept.html b/doc/html/math_toolkit/dist_concept.html index 69ed70643..850837b86 100644 --- a/doc/html/math_toolkit/dist_concept.html +++ b/doc/html/math_toolkit/dist_concept.html @@ -4,7 +4,7 @@ Conceptual Requirements for Distribution Types - + diff --git a/doc/html/math_toolkit/dist_ref.html b/doc/html/math_toolkit/dist_ref.html index 7a8ba2ecc..76e142d0a 100644 --- a/doc/html/math_toolkit/dist_ref.html +++ b/doc/html/math_toolkit/dist_ref.html @@ -4,7 +4,7 @@ Statistical Distributions Reference - + diff --git a/doc/html/math_toolkit/dist_ref/dist_algorithms.html b/doc/html/math_toolkit/dist_ref/dist_algorithms.html index 342f5b985..6b0670514 100644 --- a/doc/html/math_toolkit/dist_ref/dist_algorithms.html +++ b/doc/html/math_toolkit/dist_ref/dist_algorithms.html @@ -4,7 +4,7 @@ Distribution Algorithms - + diff --git a/doc/html/math_toolkit/dist_ref/dists.html b/doc/html/math_toolkit/dist_ref/dists.html index 0601b3b61..92cb3d18d 100644 --- a/doc/html/math_toolkit/dist_ref/dists.html +++ b/doc/html/math_toolkit/dist_ref/dists.html @@ -4,7 +4,7 @@ Distributions - + 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 5a19e4bcc..d61e07dfc 100644 --- a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html @@ -4,7 +4,7 @@ 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 71cb66e86..d9dd021de 100644 --- a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html @@ -4,7 +4,7 @@ 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 6252cf8b9..a7947644a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html @@ -4,7 +4,7 @@ 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 64a4db120..585ec2e53 100644 --- a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html @@ -4,7 +4,7 @@ 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 3fe841094..3396c01fc 100644 --- a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html @@ -4,7 +4,7 @@ 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 cac5e5c27..1a6262925 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 @@ -4,7 +4,7 @@ Chi Squared Distribution - + 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 b0a0800cb..f53ec435d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html @@ -4,7 +4,7 @@ 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 3d71345ac..a807ccd1c 100644 --- a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html @@ -4,7 +4,7 @@ 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 2702bc182..74efbb366 100644 --- a/doc/html/math_toolkit/dist_ref/dists/f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/f_dist.html @@ -4,7 +4,7 @@ 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 328090d50..674586371 100644 --- a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html @@ -4,7 +4,7 @@ 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 cbe50fe92..0f5945b75 100644 --- a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html @@ -4,7 +4,7 @@ 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 1594b919d..c62edf91d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html @@ -4,7 +4,7 @@ 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 cde618283..57dccae87 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -4,7 +4,7 @@ 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 3db6b817d..2a65f4afd 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 @@ -4,7 +4,7 @@ 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 99edca3c4..1418a4043 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 @@ -4,7 +4,7 @@ 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 cde8d2809..f63b7dbcc 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 @@ -4,7 +4,7 @@ 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 9c2261dc1..c60617970 100644 --- a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html @@ -4,7 +4,7 @@ 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 3235e6a0e..2fcda0b0e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html @@ -4,7 +4,7 @@ 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 5f383eae1..452567fbf 100644 --- a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html @@ -4,7 +4,7 @@ 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 f2f99b078..5dc57b658 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 @@ -4,7 +4,7 @@ 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 ec9b6024b..0c4a53ecb 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 @@ -4,7 +4,7 @@ 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 4f1d1be2e..b4244c829 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 @@ -4,7 +4,7 @@ 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 c73d12665..3b3ca450f 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 @@ -4,7 +4,7 @@ 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 c6559ced8..2a3bfc062 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 @@ -4,7 +4,7 @@ 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 7d6710e08..feb3ff7b1 100644 --- a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html @@ -4,7 +4,7 @@ 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 1b5ca629c..a033ade2a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/pareto.html +++ b/doc/html/math_toolkit/dist_ref/dists/pareto.html @@ -4,7 +4,7 @@ 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 bef79ce9e..32917305d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html @@ -4,7 +4,7 @@ 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 05a52b0b3..42a940ffe 100644 --- a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html +++ b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html @@ -4,7 +4,7 @@ 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 c26c65be5..7a548a4db 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 @@ -4,7 +4,7 @@ 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 5338f8aa3..1634bd883 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 @@ -4,7 +4,7 @@ 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 a75ec9f3a..75198ebb6 100644 --- a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html @@ -4,7 +4,7 @@ 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 5d65d3d2a..1fa744035 100644 --- a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html @@ -4,7 +4,7 @@ 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 b05074b0b..984273583 100644 --- a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html @@ -4,7 +4,7 @@ Weibull Distribution - + diff --git a/doc/html/math_toolkit/dist_ref/nmp.html b/doc/html/math_toolkit/dist_ref/nmp.html index b1185c390..d106fc552 100644 --- a/doc/html/math_toolkit/dist_ref/nmp.html +++ b/doc/html/math_toolkit/dist_ref/nmp.html @@ -4,7 +4,7 @@ Non-Member Properties - + diff --git a/doc/html/math_toolkit/double_exponential.html b/doc/html/math_toolkit/double_exponential.html index 553afb939..3517b881f 100644 --- a/doc/html/math_toolkit/double_exponential.html +++ b/doc/html/math_toolkit/double_exponential.html @@ -4,7 +4,7 @@ Double-exponential quadrature - + diff --git a/doc/html/math_toolkit/double_exponential/de_caveats.html b/doc/html/math_toolkit/double_exponential/de_caveats.html index 9b64a119a..9d13452c8 100644 --- a/doc/html/math_toolkit/double_exponential/de_caveats.html +++ b/doc/html/math_toolkit/double_exponential/de_caveats.html @@ -4,7 +4,7 @@ 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 46aca0817..00e6fe655 100644 --- a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html @@ -4,7 +4,7 @@ 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 cbd6cdd94..9ac8754a3 100644 --- a/doc/html/math_toolkit/double_exponential/de_levels.html +++ b/doc/html/math_toolkit/double_exponential/de_levels.html @@ -4,7 +4,7 @@ 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 652c2bd85..1c1ff998c 100644 --- a/doc/html/math_toolkit/double_exponential/de_overview.html +++ b/doc/html/math_toolkit/double_exponential/de_overview.html @@ -4,7 +4,7 @@ Overview - + @@ -43,18 +43,18 @@ tanh_sinh(size_t max_refinements = 15, const Real& min_complement = tools::min_value<Real>() * 4) template<class F> - Real integrate(const F f, Real a, Real b, + auto integrate(const F f, Real a, Real b, Real tolerance = tools::root_epsilon<Real>(), Real* error = nullptr, Real* L1 = nullptr, - std::size_t* levels = nullptr) + std::size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; template<class F> - Real integrate(const F f, Real + auto integrate(const F f, Real tolerance = tools::root_epsilon<Real>(), Real* error = nullptr, Real* L1 = nullptr, - std::size_t* levels = nullptr) + std::size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; }; @@ -65,17 +65,17 @@ exp_sinh(size_t max_refinements = 9); template<class F> - Real integrate(const F f, Real a, Real b, + auto integrate(const F f, Real a, Real b, Real tol = sqrt(std::numeric_limits<Real>::epsilon()), Real* error = nullptr, Real* L1 = nullptr, - size_t* levels = nullptr) const; + size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; template<class F> - Real integrate(const F f, + auto integrate(const F f, Real tol = sqrt(std::numeric_limits<Real>::epsilon()), Real* error = nullptr, Real* L1 = nullptr, - size_t* levels = nullptr) const; + size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; }; template<class Real> @@ -85,11 +85,11 @@ sinh_sinh(size_t max_refinements = 9); template<class F> - Real integrate(const F f, + auto integrate(const F f, Real tol = sqrt(std::numeric_limits<Real>::epsilon()), Real* error = nullptr, Real* L1 = nullptr, - size_t* levels = nullptr) const; + size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; }; }} @@ -106,6 +106,10 @@ integration over (a, b), and exp_sinh over (a, ∞) and(-∞, b).

    +

    + Like the other quadrature routines in Boost, these routines support both + real and complex-valued integrands. +

    The integrate methods which do not specify a range always integrate over the native range of the method, diff --git a/doc/html/math_toolkit/double_exponential/de_refes.html b/doc/html/math_toolkit/double_exponential/de_refes.html index ee7d216ee..9db20d8fc 100644 --- a/doc/html/math_toolkit/double_exponential/de_refes.html +++ b/doc/html/math_toolkit/double_exponential/de_refes.html @@ -4,7 +4,7 @@ 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 c44c33a70..41b77e8b0 100644 --- a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html @@ -4,7 +4,7 @@ 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 4455ba55d..918fc733e 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html @@ -4,7 +4,7 @@ tanh_sinh - + @@ -33,18 +33,18 @@ tanh_sinh(size_t max_refinements = 15, const Real& min_complement = tools::min_value<Real>() * 4) template<class F> - Real integrate(const F f, Real a, Real b, + auto integrate(const F f, Real a, Real b, Real tolerance = tools::root_epsilon<Real>(), Real* error = nullptr, Real* L1 = nullptr, - std::size_t* levels = nullptr) + std::size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; template<class F> - Real integrate(const F f, Real + auto integrate(const F f, Real tolerance = tools::root_epsilon<Real>(), Real* error = nullptr, Real* L1 = nullptr, - std::size_t* levels = nullptr) + std::size_t* levels = nullptr)->decltype(std::declval<F>()(std::declval<Real>())) const; }; @@ -85,7 +85,7 @@ at the endpoints of the integration domain. For instance, the following integrand, singular at both endpoints, can be efficiently evaluated to 100 binary digits:

    -
    auto f = [](Real x) { return log(x)*log(1-x); };
+
    auto f = [](Real x) { return log(x)*log1p(-x); };
 Real Q = integrator.integrate(f, (Real) 0, (Real) 1);
 
    
 
    
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 fd13f4b2e..33daa2f1c 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
@@ -4,7 +4,7 @@
 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 002a2c66e..3265144b2 100644
--- a/doc/html/math_toolkit/double_exponential/de_thread.html
+++ b/doc/html/math_toolkit/double_exponential/de_thread.html
@@ -4,7 +4,7 @@
 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 cb656a8c9..64d4a2b60 100644
--- a/doc/html/math_toolkit/double_exponential/de_tol.html
+++ b/doc/html/math_toolkit/double_exponential/de_tol.html
@@ -4,7 +4,7 @@
 Setting the Termination Condition for Integration
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/ellint.html b/doc/html/math_toolkit/ellint.html
index 2d6102089..bed1a28eb 100644
--- a/doc/html/math_toolkit/ellint.html
+++ b/doc/html/math_toolkit/ellint.html
@@ -4,7 +4,7 @@
 Elliptic Integrals
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/ellint/ellint_1.html b/doc/html/math_toolkit/ellint/ellint_1.html
index 4639ea418..7c2515ab3 100644
--- a/doc/html/math_toolkit/ellint/ellint_1.html
+++ b/doc/html/math_toolkit/ellint/ellint_1.html
@@ -4,7 +4,7 @@
 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 be3777e5b..a2de25750 100644
--- a/doc/html/math_toolkit/ellint/ellint_2.html
+++ b/doc/html/math_toolkit/ellint/ellint_2.html
@@ -4,7 +4,7 @@
 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 e5b6ad8dd..4a5487aa4 100644
--- a/doc/html/math_toolkit/ellint/ellint_3.html
+++ b/doc/html/math_toolkit/ellint/ellint_3.html
@@ -4,7 +4,7 @@
 Elliptic Integrals of the Third Kind - Legendre Form
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html
index de9b6a830..5dbb9e119 100644
--- a/doc/html/math_toolkit/ellint/ellint_carlson.html
+++ b/doc/html/math_toolkit/ellint/ellint_carlson.html
@@ -4,7 +4,7 @@
 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 eb701f6e9..42a4f4229 100644
--- a/doc/html/math_toolkit/ellint/ellint_d.html
+++ b/doc/html/math_toolkit/ellint/ellint_d.html
@@ -4,7 +4,7 @@
 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 52413b17b..818b56820 100644
--- a/doc/html/math_toolkit/ellint/ellint_intro.html
+++ b/doc/html/math_toolkit/ellint/ellint_intro.html
@@ -4,7 +4,7 @@
 Elliptic Integral Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/ellint/heuman_lambda.html b/doc/html/math_toolkit/ellint/heuman_lambda.html
index aeee23c99..0a71029ef 100644
--- a/doc/html/math_toolkit/ellint/heuman_lambda.html
+++ b/doc/html/math_toolkit/ellint/heuman_lambda.html
@@ -4,7 +4,7 @@
 Heuman Lambda Function
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/ellint/jacobi_zeta.html b/doc/html/math_toolkit/ellint/jacobi_zeta.html
index dda72c548..c9378fb1b 100644
--- a/doc/html/math_toolkit/ellint/jacobi_zeta.html
+++ b/doc/html/math_toolkit/ellint/jacobi_zeta.html
@@ -4,7 +4,7 @@
 Jacobi Zeta Function
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/error_handling.html b/doc/html/math_toolkit/error_handling.html
index 9976898da..8f38712ce 100644
--- a/doc/html/math_toolkit/error_handling.html
+++ b/doc/html/math_toolkit/error_handling.html
@@ -4,7 +4,7 @@
 Error Handling
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/exact_typdefs.html b/doc/html/math_toolkit/exact_typdefs.html
index 2c7e07367..614834496 100644
--- a/doc/html/math_toolkit/exact_typdefs.html
+++ b/doc/html/math_toolkit/exact_typdefs.html
@@ -4,7 +4,7 @@
 Exact-Width Floating-Point typedefs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/examples.html b/doc/html/math_toolkit/examples.html
index 0f7330285..40fadad85 100644
--- a/doc/html/math_toolkit/examples.html
+++ b/doc/html/math_toolkit/examples.html
@@ -4,7 +4,7 @@
 Examples
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/exp.html b/doc/html/math_toolkit/exp.html
index 2b8ce5d82..4fc93070d 100644
--- a/doc/html/math_toolkit/exp.html
+++ b/doc/html/math_toolkit/exp.html
@@ -4,7 +4,7 @@
 The Quaternionic Exponential
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/expint.html b/doc/html/math_toolkit/expint.html
index db929e28a..58dbe55cb 100644
--- a/doc/html/math_toolkit/expint.html
+++ b/doc/html/math_toolkit/expint.html
@@ -4,7 +4,7 @@
 Exponential Integrals
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/expint/expint_i.html b/doc/html/math_toolkit/expint/expint_i.html
index 33dfe48da..a9f8c860e 100644
--- a/doc/html/math_toolkit/expint/expint_i.html
+++ b/doc/html/math_toolkit/expint/expint_i.html
@@ -4,7 +4,7 @@
 Exponential Integral Ei
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html
index 34516b31a..8f08b3755 100644
--- a/doc/html/math_toolkit/expint/expint_n.html
+++ b/doc/html/math_toolkit/expint/expint_n.html
@@ -4,7 +4,7 @@
 Exponential Integral En
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/factorials.html b/doc/html/math_toolkit/factorials.html
index 9a4b05a6f..1a5fc8b4f 100644
--- a/doc/html/math_toolkit/factorials.html
+++ b/doc/html/math_toolkit/factorials.html
@@ -4,7 +4,7 @@
 Factorials and Binomial Coefficients
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/factorials/sf_binomial.html b/doc/html/math_toolkit/factorials/sf_binomial.html
index 59a5b7a3c..68ba796f8 100644
--- a/doc/html/math_toolkit/factorials/sf_binomial.html
+++ b/doc/html/math_toolkit/factorials/sf_binomial.html
@@ -4,7 +4,7 @@
 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 50cf7ef07..cc84f3944 100644
--- a/doc/html/math_toolkit/factorials/sf_double_factorial.html
+++ b/doc/html/math_toolkit/factorials/sf_double_factorial.html
@@ -4,7 +4,7 @@
 Double Factorial
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/factorials/sf_factorial.html b/doc/html/math_toolkit/factorials/sf_factorial.html
index 083d2ff9b..814f62a9d 100644
--- a/doc/html/math_toolkit/factorials/sf_factorial.html
+++ b/doc/html/math_toolkit/factorials/sf_factorial.html
@@ -4,7 +4,7 @@
 Factorial
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/factorials/sf_falling_factorial.html b/doc/html/math_toolkit/factorials/sf_falling_factorial.html
index ad5333a7f..9aff9368d 100644
--- a/doc/html/math_toolkit/factorials/sf_falling_factorial.html
+++ b/doc/html/math_toolkit/factorials/sf_falling_factorial.html
@@ -4,7 +4,7 @@
 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 f7dcb1003..bb55f3cbc 100644
--- a/doc/html/math_toolkit/factorials/sf_rising_factorial.html
+++ b/doc/html/math_toolkit/factorials/sf_rising_factorial.html
@@ -4,7 +4,7 @@
 Rising Factorial
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fastest_typdefs.html b/doc/html/math_toolkit/fastest_typdefs.html
index e2bd1363d..686e55908 100644
--- a/doc/html/math_toolkit/fastest_typdefs.html
+++ b/doc/html/math_toolkit/fastest_typdefs.html
@@ -4,7 +4,7 @@
 Fastest floating-point typedefs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/float128.html b/doc/html/math_toolkit/float128.html
index 8124eadd5..59a2e173a 100644
--- a/doc/html/math_toolkit/float128.html
+++ b/doc/html/math_toolkit/float128.html
@@ -4,7 +4,7 @@
 Implementation of Float128 type
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/float128/exp_function.html b/doc/html/math_toolkit/float128/exp_function.html
index 7522a4f46..ac94a3282 100644
--- a/doc/html/math_toolkit/float128/exp_function.html
+++ b/doc/html/math_toolkit/float128/exp_function.html
@@ -4,7 +4,7 @@
 Exponential function
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/float128/overloading.html b/doc/html/math_toolkit/float128/overloading.html
index df9661555..212c3cb0a 100644
--- a/doc/html/math_toolkit/float128/overloading.html
+++ b/doc/html/math_toolkit/float128/overloading.html
@@ -4,7 +4,7 @@
 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 cdc86ee16..b7fc008bb 100644
--- a/doc/html/math_toolkit/float128/typeinfo.html
+++ b/doc/html/math_toolkit/float128/typeinfo.html
@@ -4,7 +4,7 @@
 typeinfo
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/float128_hints.html b/doc/html/math_toolkit/float128_hints.html
index cb2a522b5..6c9d45c35 100644
--- a/doc/html/math_toolkit/float128_hints.html
+++ b/doc/html/math_toolkit/float128_hints.html
@@ -4,7 +4,7 @@
 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 e12bf7f6b..1acd2ee64 100644
--- a/doc/html/math_toolkit/float_comparison.html
+++ b/doc/html/math_toolkit/float_comparison.html
@@ -4,7 +4,7 @@
 Floating-point Comparison
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets.html b/doc/html/math_toolkit/fp_facets.html
index 4090b9d36..4c7a11498 100644
--- a/doc/html/math_toolkit/fp_facets.html
+++ b/doc/html/math_toolkit/fp_facets.html
@@ -4,7 +4,7 @@
 Facets for Floating-Point Infinities and NaNs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets/examples.html b/doc/html/math_toolkit/fp_facets/examples.html
index cc0e1f956..6f8471f28 100644
--- a/doc/html/math_toolkit/fp_facets/examples.html
+++ b/doc/html/math_toolkit/fp_facets/examples.html
@@ -4,7 +4,7 @@
 Examples
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets/facets_intro.html b/doc/html/math_toolkit/fp_facets/facets_intro.html
index 08d130559..7caf8a806 100644
--- a/doc/html/math_toolkit/fp_facets/facets_intro.html
+++ b/doc/html/math_toolkit/fp_facets/facets_intro.html
@@ -4,7 +4,7 @@
 Introduction
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets/portability.html b/doc/html/math_toolkit/fp_facets/portability.html
index 54ae712d1..78c0ef48f 100644
--- a/doc/html/math_toolkit/fp_facets/portability.html
+++ b/doc/html/math_toolkit/fp_facets/portability.html
@@ -4,7 +4,7 @@
 Portability
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets/rationale.html b/doc/html/math_toolkit/fp_facets/rationale.html
index 9b1e21c1b..be28c5089 100644
--- a/doc/html/math_toolkit/fp_facets/rationale.html
+++ b/doc/html/math_toolkit/fp_facets/rationale.html
@@ -4,7 +4,7 @@
 Design Rationale
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fp_facets/reference.html b/doc/html/math_toolkit/fp_facets/reference.html
index df0b5d542..afeea5f01 100644
--- a/doc/html/math_toolkit/fp_facets/reference.html
+++ b/doc/html/math_toolkit/fp_facets/reference.html
@@ -4,7 +4,7 @@
 Reference
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/fpclass.html b/doc/html/math_toolkit/fpclass.html
index 8429b7356..7df27b26a 100644
--- a/doc/html/math_toolkit/fpclass.html
+++ b/doc/html/math_toolkit/fpclass.html
@@ -4,7 +4,7 @@
 Floating-Point Classification: Infinities and NaNs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/future.html b/doc/html/math_toolkit/future.html
index 0897f7c1f..1b4266780 100644
--- a/doc/html/math_toolkit/future.html
+++ b/doc/html/math_toolkit/future.html
@@ -4,7 +4,7 @@
 Extras/Future Directions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/gauss.html b/doc/html/math_toolkit/gauss.html
index 844c4162f..b610c273e 100644
--- a/doc/html/math_toolkit/gauss.html
+++ b/doc/html/math_toolkit/gauss.html
@@ -4,9 +4,9 @@
 Gauss-Legendre quadrature
 
 
-
+
 
-
+
 
 
 
@@ -42,10 +42,10 @@
    static const RandomAccessContainer& weights();
 
    template <class F>
-   static value_type integrate(F f, Real* pL1 = nullptr);
+   static auto integrate(F f, Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()))
 
    template <class F>
-   static value_type integrate(F f, Real a, Real b, Real* pL1 = nullptr);
+   static auto integrate(F f, Real a, Real b, Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()))
 };
 
 }}} // namespaces
@@ -63,7 +63,8 @@
 
    
       This is intentionally a very simple quadrature routine, it obtains no estimate
       of the error, and is not adaptive, but is very efficient in simple cases that
-      involve integrating smooth "bell like" functions.
+      involve integrating smooth "bell like" functions and functions with
+      rapidly convergent power series.
     
    
 
    static const RandomAccessContainer& abscissa();
 static const RandomAccessContainer& weights();
@@ -75,7 +76,7 @@
       positive (or zero) abscissa and weights are stored.
     
    
 
    template <class F>
-static value_type integrate(F f, Real* pL1 = nullptr);
+static auto integrate(F f, Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()))
 
    
 
    
       Integrates f over (-1,1), and optionally sets *pL1 to the
@@ -84,7 +85,7 @@
       is available.
     
    
 
    template <class F>
-static value_type integrate(F f, Real a, Real b, Real* pL1 = nullptr);
+static auto integrate(F f, Real a, Real b, Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()))
 
    
 
    
       Integrates f over (a,b), and optionally sets *pL1 to the
@@ -94,6 +95,39 @@
       and b, as long as a
       < b.
     
    
+
    
+      The Gaussian quadrature routine support both real and complex-valued quadrature.
+      For example, the Lambert-W function admits the integral representation
+    
    
+
    
+      W(z) = 1/2Π ∫-ΠΠ  ((1- v cot(v) )^2 + v^2)/(z + v csc(v)
+      exp(-v cot(v))) dv
+    
    
+
    
+      so it can be effectively computed via Gaussian quadrature using the following
+      code:
+    
    
+
    Complex z{2, 3};
+auto lw = [&z](Real v)->Complex {
+  using std::cos;
+  using std::sin;
+  using std::exp;
+  Real sinv = sin(v);
+  Real cosv = cos(v);
+
+  Real cotv = cosv/sinv;
+  Real cscv = 1/sinv;
+  Real t = (1-v*cotv)*(1-v*cotv) + v*v;
+  Real x = v*cscv*exp(-v*cotv);
+  Complex den = z + x;
+  Complex num = t*(z/pi<Real>());
+  Complex res = num/den;
+  return res;
+};
+
+boost::math::quadrature::gauss<Real, 30> integrator;
+Complex W = integrator.integrate(lw, (Real) 0, pi<Real>());
+
    
 
    
 
       Choosing
diff --git a/doc/html/math_toolkit/gauss_kronrod.html b/doc/html/math_toolkit/gauss_kronrod.html
index dbe83c740..34a55b8b2 100644
--- a/doc/html/math_toolkit/gauss_kronrod.html
+++ b/doc/html/math_toolkit/gauss_kronrod.html
@@ -4,7 +4,7 @@
 Gauss-Kronrod Quadrature
 
 
-
+
 
 
 
@@ -73,12 +73,12 @@
    static const RandomAccessContainer& weights();
 
    template <class F>
-   static value_type integrate(F f,
-                               Real a, Real b,
-                               unsigned max_depth = 15,
-                               Real tol = tools::root_epsilon<Real>(),
-                               Real* error = nullptr,
-                               Real* pL1 = nullptr);
+   static auto integrate(F f,
+                         Real a, Real b,
+                         unsigned max_depth = 15,
+                         Real tol = tools::root_epsilon<Real>(),
+                         Real* error = nullptr,
+                         Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()));
 };
 
    
 
    
@@ -96,12 +96,12 @@
       the Gauss and Kronrod points.
     
    
 
    template <class F>
-static value_type integrate(F f,
+static auto integrate(F f,
                             Real a, Real b,
                             unsigned max_depth = 15,
                             Real tol = tools::root_epsilon<Real>(),
                             Real* error = nullptr,
-                            Real* pL1 = nullptr);
+                            Real* pL1 = nullptr)->decltype(std::declval<F>()(std::declval<Real>()));
 
    
 
    
       Performs adaptive Gauss-Kronrod quadrature on function f
@@ -169,6 +169,15 @@
 
 
    
 
+      Complex
+      Quadrature
+    
    
+
    
+      The Gauss-Kronrod quadrature support integrands defined on the real line and
+      returning complex values.
+    
    
+
    
+
       Examples
     
    
 
    
@@ -219,7 +228,7 @@
       We still achieve 1e-15 precision, with an error estimate of 1e-10.
     
    
 
    
-
+
       Caveats
     
    
 
    
@@ -240,7 +249,7 @@
       integration schemes which are generally much more robust.
     
    
 
    
-
+
       References
     
    
 
      
diff --git a/doc/html/math_toolkit/getting_best.html b/doc/html/math_toolkit/getting_best.html
index 24e75a6ca..57cfb7a65 100644
--- a/doc/html/math_toolkit/getting_best.html
+++ b/doc/html/math_toolkit/getting_best.html
@@ -4,7 +4,7 @@
 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 b290f83f5..03405f150 100644
--- a/doc/html/math_toolkit/greatest_typdefs.html
+++ b/doc/html/math_toolkit/greatest_typdefs.html
@@ -4,7 +4,7 @@
 Greatest-width floating-point typedef
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/hankel.html b/doc/html/math_toolkit/hankel.html
index 36ff30d12..f3af534e6 100644
--- a/doc/html/math_toolkit/hankel.html
+++ b/doc/html/math_toolkit/hankel.html
@@ -4,7 +4,7 @@
 Hankel Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/hankel/cyl_hankel.html b/doc/html/math_toolkit/hankel/cyl_hankel.html
index 7141c08cf..ab1d46921 100644
--- a/doc/html/math_toolkit/hankel/cyl_hankel.html
+++ b/doc/html/math_toolkit/hankel/cyl_hankel.html
@@ -4,7 +4,7 @@
 Cyclic Hankel Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/hankel/sph_hankel.html b/doc/html/math_toolkit/hankel/sph_hankel.html
index 94c58070a..1da0d831c 100644
--- a/doc/html/math_toolkit/hankel/sph_hankel.html
+++ b/doc/html/math_toolkit/hankel/sph_hankel.html
@@ -4,7 +4,7 @@
 Spherical Hankel Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/high_precision.html b/doc/html/math_toolkit/high_precision.html
index 54ce738c0..493f0ea9f 100644
--- a/doc/html/math_toolkit/high_precision.html
+++ b/doc/html/math_toolkit/high_precision.html
@@ -4,7 +4,7 @@
 Using Boost.Math with High-Precision Floating-Point Libraries
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/high_precision/e_float.html b/doc/html/math_toolkit/high_precision/e_float.html
index bdb04affc..7824e303e 100644
--- a/doc/html/math_toolkit/high_precision/e_float.html
+++ b/doc/html/math_toolkit/high_precision/e_float.html
@@ -4,7 +4,7 @@
 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 bf48ee8a6..4d1e06477 100644
--- a/doc/html/math_toolkit/high_precision/float128.html
+++ b/doc/html/math_toolkit/high_precision/float128.html
@@ -4,7 +4,7 @@
 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 28a06fc85..8a66f4c02 100644
--- a/doc/html/math_toolkit/high_precision/use_mpfr.html
+++ b/doc/html/math_toolkit/high_precision/use_mpfr.html
@@ -4,7 +4,7 @@
 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 01d5d10c3..854a134b5 100644
--- a/doc/html/math_toolkit/high_precision/use_multiprecision.html
+++ b/doc/html/math_toolkit/high_precision/use_multiprecision.html
@@ -4,7 +4,7 @@
 Using Boost.Multiprecision
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html
index 4bc9d9f23..721e1d6db 100644
--- a/doc/html/math_toolkit/high_precision/use_ntl.html
+++ b/doc/html/math_toolkit/high_precision/use_ntl.html
@@ -4,7 +4,7 @@
 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 84d79abc2..5aa5489fd 100644
--- a/doc/html/math_toolkit/high_precision/using_test.html
+++ b/doc/html/math_toolkit/high_precision/using_test.html
@@ -4,7 +4,7 @@
 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 5a2cf4141..da99d4960 100644
--- a/doc/html/math_toolkit/high_precision/why_high_precision.html
+++ b/doc/html/math_toolkit/high_precision/why_high_precision.html
@@ -4,7 +4,7 @@
 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 f0be2bb8c..875fee189 100644
--- a/doc/html/math_toolkit/hints.html
+++ b/doc/html/math_toolkit/hints.html
@@ -4,7 +4,7 @@
 Other Hints and tips
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html
index 17585ede4..009eb7006 100644
--- a/doc/html/math_toolkit/history1.html
+++ b/doc/html/math_toolkit/history1.html
@@ -4,7 +4,7 @@
 History and What's New
 
 
-
+
 
 
 
@@ -34,6 +34,20 @@
     
      
 
      
 
+      Math-2.7.1
+      (Boost-1.68)
+    
      
+
        
+
      • 
+          Continue to improve numerical integration routines, and in particular add
+          support for contour integrals.
+        
        • 
+
      • 
+          Improve accuracy of erfc function's rational approximations.
+        
        • 
+
      
+
      
+
       Math-2.7.0
       (Boost-1.66)
     
      
@@ -50,7 +64,7 @@
         
 
    
 
    
-
+
       Math-2.6.0
       (Boost-1.65)
     
    
@@ -67,7 +81,7 @@
           functions, with thanks to Nick Thompson.
         
 
  • 
-          Add adaptive trapezoidal quadrature,
+          Add adaptive trapezoidal quadrature,
           with thanks to Nick Thompson.
         
    • 
 
  • 
@@ -87,7 +101,7 @@
         
    • 
 
 
    
-
+
       Math-2.5.2
       (Boost-1.64)
     
    
@@ -104,7 +118,7 @@
         
 
 
    
-
+
       Math-2.5.1
       (Boost-1.63)
     
    
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-
+
       Math-2.5.0
       (Boost-1.62)
     
    
@@ -145,7 +159,7 @@
         
 
 
    
-
+
       Math-2.4.0
       (Boost-1.61)
     
    
@@ -156,7 +170,7 @@
           Polynomial arithmetic added to tools.
         
 
    
-
+
       Math-2.3.0
       (Boost-1.60)
     
    
@@ -234,7 +248,7 @@
         
 
 
    
-
+
       Math-2.2.1
     
    
 
    
@@ -253,7 +267,7 @@
         
 
 
    
-
+
       Math-2.2.0
       (boost-1.58.0)
     
    
@@ -297,7 +311,7 @@
         
 
 
    
-
+
       Math-2.1.0
       (boost-1.57.0)
     
    
@@ -323,7 +337,7 @@
         
 
 
    
-
+
       Math-2.0.0
       (Boost-1.56.0)
     
    
@@ -374,7 +388,7 @@
         
 
 
    
-
+
       Math-1.9.1
     
    
 
      
@@ -389,7 +403,7 @@
         
 
    
 
    
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+
       Math-1.9.0
     
    
 
      
@@ -456,7 +470,7 @@
         
 
    
 
    
-
+
       Boost-1.55
     
    
 
      
@@ -515,7 +529,7 @@
           and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu
         
      
 
      
-
+
           Boost-1.54
         
      
 
@@ -569,7 +583,7 @@
         
 
    
 
    
-
+
       Boost-1.53
     
    
 
      
@@ -604,7 +618,7 @@
         
 
    
 
    
-
+
       Boost-1.52
     
    
 
      
@@ -651,14 +665,14 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.51
     
    
 
    
       See Boost-1.52 - some items were added but not listed in time for the release.
     
    
 
    
-
+
       Boost-1.50
     
    
 
      
@@ -695,7 +709,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.49
     
    
 
      
@@ -739,7 +753,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.48
     
    
 
      
@@ -790,7 +804,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.47
     
    
 
      
@@ -807,7 +821,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.46.1
     
    
 
    • 
@@ -815,7 +829,7 @@ by switching to use the Students t distribution (or Normal distribution
           #5113.
         
    
 
    
-
+
       Boost-1.46.0
     
    
 
      
@@ -830,7 +844,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.45.0
     
    
 
      
@@ -847,7 +861,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.44.0
     
    
 
      
@@ -861,7 +875,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.41.0
     
    
 
    • 
@@ -869,7 +883,7 @@ by switching to use the Students t distribution (or Normal distribution
           its inverse.
         
    
 
    
-
+
       Boost-1.40.0
     
    
 
      
@@ -905,7 +919,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.38.0
     
    
 
      
@@ -917,14 +931,14 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.37.0
     
    
 
    • 
           Improved accuracy and testing of the inverse hypergeometric functions.
         
    
 
    
-
+
       Boost-1.36.0
     
    
 
      
@@ -957,7 +971,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.35.0:
       Post Review First Official Release
     
    
@@ -989,7 +1003,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
-
+
       Milestone
       4: Second Review Candidate (1st March 2007)
     
    
@@ -1003,7 +1017,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
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+
       Milestone
       3: First Review Candidate (31st Dec 2006)
     
    
@@ -1031,7 +1045,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
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       Milestone
       2: Released September 10th 2006
     
    
@@ -1067,7 +1081,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
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+
       Milestone
       1: Released March 31st 2006
     
    
diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html
index db83a4c3c..739f96da7 100644
--- a/doc/html/math_toolkit/history2.html
+++ b/doc/html/math_toolkit/history2.html
@@ -4,7 +4,7 @@
 History and What's New
 
 
-
+
 
 
 
@@ -34,6 +34,20 @@
     
    
 
    
 
+      Math-2.7.1
+      (Boost-1.68)
+    
    
+
      
+
    • 
+          Continue to improve numerical integration routines, and in particular add
+          support for contour integrals.
+        
      • 
+
    • 
+          Improve accuracy of erfc function's rational approximations.
+        
      • 
+
    
+
    
+
       Math-2.7.0
       (Boost-1.66)
     
    
@@ -50,7 +64,7 @@
         
 
 
    
-
+
       Math-2.6.0
       (Boost-1.65)
     
    
@@ -67,7 +81,7 @@
           functions, with thanks to Nick Thompson.
         
 
  • 
-          Add adaptive trapezoidal quadrature,
+          Add adaptive trapezoidal quadrature,
           with thanks to Nick Thompson.
         
    • 
 
  • 
@@ -87,7 +101,7 @@
         
    • 
 
 
    
-
+
       Math-2.5.2
       (Boost-1.64)
     
    
@@ -104,7 +118,7 @@
         
 
 
    
-
+
       Math-2.5.1
       (Boost-1.63)
     
    
@@ -120,7 +134,7 @@
         
 
 
    
-
+
       Math-2.5.0
       (Boost-1.62)
     
    
@@ -145,7 +159,7 @@
         
 
 
    
-
+
       Math-2.4.0
       (Boost-1.61)
     
    
@@ -156,7 +170,7 @@
           Polynomial arithmetic added to tools.
         
 
    
-
+
       Math-2.3.0
       (Boost-1.60)
     
    
@@ -234,7 +248,7 @@
         
 
 
    
-
+
       Math-2.2.1
     
    
 
    
@@ -253,7 +267,7 @@
         
 
 
    
-
+
       Math-2.2.0
       (boost-1.58.0)
     
    
@@ -297,7 +311,7 @@
         
 
 
    
-
+
       Math-2.1.0
       (boost-1.57.0)
     
    
@@ -323,7 +337,7 @@
         
 
 
    
-
+
       Math-2.0.0
       (Boost-1.56.0)
     
    
@@ -374,7 +388,7 @@
         
 
 
    
-
+
       Math-1.9.1
     
    
 
      
@@ -389,7 +403,7 @@
         
 
    
 
    
-
+
       Math-1.9.0
     
    
 
      
@@ -456,7 +470,7 @@
         
 
    
 
    
-
+
       Boost-1.55
     
    
 
      
@@ -515,7 +529,7 @@
           and Accurate Parallel Inversion of the Gamma Distribution, Thomas Luu
         
      
 
      
-
+
           Boost-1.54
         
      
 
@@ -569,7 +583,7 @@
         
 
    
 
    
-
+
       Boost-1.53
     
    
 
      
@@ -604,7 +618,7 @@
         
 
    
 
    
-
+
       Boost-1.52
     
    
 
      
@@ -651,14 +665,14 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.51
     
    
 
    
       See Boost-1.52 - some items were added but not listed in time for the release.
     
    
 
    
-
+
       Boost-1.50
     
    
 
      
@@ -695,7 +709,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.49
     
    
 
      
@@ -739,7 +753,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.48
     
    
 
      
@@ -790,7 +804,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.47
     
    
 
      
@@ -807,7 +821,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.46.1
     
    
 
    • 
@@ -815,7 +829,7 @@ by switching to use the Students t distribution (or Normal distribution
           #5113.
         
    
 
    
-
+
       Boost-1.46.0
     
    
 
      
@@ -830,7 +844,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.45.0
     
    
 
      
@@ -847,7 +861,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.44.0
     
    
 
      
@@ -861,7 +875,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.41.0
     
    
 
    • 
@@ -869,7 +883,7 @@ by switching to use the Students t distribution (or Normal distribution
           its inverse.
         
    
 
    
-
+
       Boost-1.40.0
     
    
 
      
@@ -905,7 +919,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.38.0
     
    
 
      
@@ -917,14 +931,14 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.37.0
     
    
 
    • 
           Improved accuracy and testing of the inverse hypergeometric functions.
         
    
 
    
-
+
       Boost-1.36.0
     
    
 
      
@@ -957,7 +971,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
    
 
    
-
+
       Boost-1.35.0:
       Post Review First Official Release
     
    
@@ -989,7 +1003,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
-
+
       Milestone
       4: Second Review Candidate (1st March 2007)
     
    
@@ -1003,7 +1017,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
-
+
       Milestone
       3: First Review Candidate (31st Dec 2006)
     
    
@@ -1031,7 +1045,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
-
+
       Milestone
       2: Released September 10th 2006
     
    
@@ -1067,7 +1081,7 @@ by switching to use the Students t distribution (or Normal distribution
         
 
 
    
-
+
       Milestone
       1: Released March 31st 2006
     
    
diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html
index 03a485d77..562a261dd 100644
--- a/doc/html/math_toolkit/internals.html
+++ b/doc/html/math_toolkit/internals.html
@@ -4,7 +4,7 @@
 Internal tools
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html
index 0c9848939..f4026d872 100644
--- a/doc/html/math_toolkit/internals/cf.html
+++ b/doc/html/math_toolkit/internals/cf.html
@@ -4,7 +4,7 @@
 Continued Fraction Evaluation
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html
index c60670cb7..1d4aab061 100644
--- a/doc/html/math_toolkit/internals/error_test.html
+++ b/doc/html/math_toolkit/internals/error_test.html
@@ -4,7 +4,7 @@
 Relative Error and Testing
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html
index 1782a30b4..c7deef839 100644
--- a/doc/html/math_toolkit/internals/minimax.html
+++ b/doc/html/math_toolkit/internals/minimax.html
@@ -4,7 +4,7 @@
 Minimax Approximations and the Remez Algorithm
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html
index 1146c6b1f..319cf0d62 100644
--- a/doc/html/math_toolkit/internals/series_evaluation.html
+++ b/doc/html/math_toolkit/internals/series_evaluation.html
@@ -4,7 +4,7 @@
 Series Evaluation
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html
index a5fe37663..feaafd5be 100644
--- a/doc/html/math_toolkit/internals/test_data.html
+++ b/doc/html/math_toolkit/internals/test_data.html
@@ -4,7 +4,7 @@
 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 28f09234c..040f12583 100644
--- a/doc/html/math_toolkit/internals/tuples.html
+++ b/doc/html/math_toolkit/internals/tuples.html
@@ -4,7 +4,7 @@
 Tuples
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html
index fb9e9a939..522ed7dec 100644
--- a/doc/html/math_toolkit/internals_overview.html
+++ b/doc/html/math_toolkit/internals_overview.html
@@ -4,7 +4,7 @@
 Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html
index a9320bac2..6f0344201 100644
--- a/doc/html/math_toolkit/interp.html
+++ b/doc/html/math_toolkit/interp.html
@@ -4,7 +4,7 @@
 Interpreting these Results
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html
index f3e2681a5..44d452e13 100644
--- a/doc/html/math_toolkit/intro_pol_overview.html
+++ b/doc/html/math_toolkit/intro_pol_overview.html
@@ -4,7 +4,7 @@
 Policies
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html
index 0aa9cb0b8..8e5f37691 100644
--- a/doc/html/math_toolkit/inv_hyper.html
+++ b/doc/html/math_toolkit/inv_hyper.html
@@ -4,7 +4,7 @@
 Inverse Hyperbolic Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html
index 0dcd2f404..ec9127916 100644
--- a/doc/html/math_toolkit/inv_hyper/acosh.html
+++ b/doc/html/math_toolkit/inv_hyper/acosh.html
@@ -4,7 +4,7 @@
 acosh
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html
index 32f4fec03..2b5c8dbbc 100644
--- a/doc/html/math_toolkit/inv_hyper/asinh.html
+++ b/doc/html/math_toolkit/inv_hyper/asinh.html
@@ -4,7 +4,7 @@
 asinh
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html
index 7731aacde..73146d54f 100644
--- a/doc/html/math_toolkit/inv_hyper/atanh.html
+++ b/doc/html/math_toolkit/inv_hyper/atanh.html
@@ -4,7 +4,7 @@
 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 7a830b0c7..d5d8a0d44 100644
--- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html
+++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html
@@ -4,7 +4,7 @@
 Inverse Hyperbolic Functions Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html
index cbe56b425..394695b75 100644
--- a/doc/html/math_toolkit/issues.html
+++ b/doc/html/math_toolkit/issues.html
@@ -4,7 +4,7 @@
 Known Issues, and TODO List
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html
index df24be20f..2f1e20453 100644
--- a/doc/html/math_toolkit/jacobi.html
+++ b/doc/html/math_toolkit/jacobi.html
@@ -4,7 +4,7 @@
 Jacobi Elliptic Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html
index 6a0a5d52c..3bdb55062 100644
--- a/doc/html/math_toolkit/jacobi/jac_over.html
+++ b/doc/html/math_toolkit/jacobi/jac_over.html
@@ -4,7 +4,7 @@
 Overvew of the Jacobi Elliptic Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html
index 7589ac24f..3f001a091 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_cd.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html
@@ -4,7 +4,7 @@
 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 1f6bba765..27d8d79af 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_cn.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html
@@ -4,7 +4,7 @@
 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 081cfca00..7d6d25f8f 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_cs.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html
@@ -4,7 +4,7 @@
 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 05a688987..21e74cea3 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_dc.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html
@@ -4,7 +4,7 @@
 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 552c31c16..815efe362 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_dn.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html
@@ -4,7 +4,7 @@
 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 69a299d3d..6ca35e38e 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_ds.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html
@@ -4,7 +4,7 @@
 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 1528795db..68d8850ec 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html
@@ -4,7 +4,7 @@
 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 4a3e489e5..1752f6c71 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_nc.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html
@@ -4,7 +4,7 @@
 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 879414765..ee2f0f8f9 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_nd.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html
@@ -4,7 +4,7 @@
 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 97ce075a5..f1c4b7a6e 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_ns.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html
@@ -4,7 +4,7 @@
 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 0872671a1..b490b189a 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_sc.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html
@@ -4,7 +4,7 @@
 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 c7155f595..684514d8b 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_sd.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html
@@ -4,7 +4,7 @@
 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 bb1764d0d..f04433c1a 100644
--- a/doc/html/math_toolkit/jacobi/jacobi_sn.html
+++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html
@@ -4,7 +4,7 @@
 Jacobi Elliptic Function sn
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html
index afd584bf3..c023d1929 100644
--- a/doc/html/math_toolkit/lanczos.html
+++ b/doc/html/math_toolkit/lanczos.html
@@ -4,7 +4,7 @@
 The Lanczos Approximation
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html
index f87e101c2..e8d46df66 100644
--- a/doc/html/math_toolkit/logs_and_tables.html
+++ b/doc/html/math_toolkit/logs_and_tables.html
@@ -4,7 +4,7 @@
 Error logs and tables
 
 
-
+
 
 
 
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 db2e75dbe..c0f3e84cd 100644
--- a/doc/html/math_toolkit/logs_and_tables/all_table.html
+++ b/doc/html/math_toolkit/logs_and_tables/all_table.html
@@ -4,7 +4,7 @@
 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 8bd705e34..e62f4d5c5 100644
--- a/doc/html/math_toolkit/logs_and_tables/logs.html
+++ b/doc/html/math_toolkit/logs_and_tables/logs.html
@@ -4,7 +4,7 @@
 Error Logs For Error Rate Tables
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html
index e64c6c453..b09450e69 100644
--- a/doc/html/math_toolkit/macros.html
+++ b/doc/html/math_toolkit/macros.html
@@ -4,7 +4,7 @@
 Floating-Point Constant Macros
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html
index 815671aa0..06af2e006 100644
--- a/doc/html/math_toolkit/main_faq.html
+++ b/doc/html/math_toolkit/main_faq.html
@@ -4,7 +4,7 @@
 Frequently Asked Questions FAQ
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html
index d3ff92d4d..acc0f1758 100644
--- a/doc/html/math_toolkit/main_intro.html
+++ b/doc/html/math_toolkit/main_intro.html
@@ -4,7 +4,7 @@
 About the Math Toolkit
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html
index d8652a9ce..4f55aad38 100644
--- a/doc/html/math_toolkit/main_tr1.html
+++ b/doc/html/math_toolkit/main_tr1.html
@@ -4,7 +4,7 @@
 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 7907bb817..cb856e7a5 100644
--- a/doc/html/math_toolkit/mem_typedef.html
+++ b/doc/html/math_toolkit/mem_typedef.html
@@ -4,7 +4,7 @@
 Quaternion Member Typedefs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html
index 3946da9d3..db5747c69 100644
--- a/doc/html/math_toolkit/minimum_typdefs.html
+++ b/doc/html/math_toolkit/minimum_typdefs.html
@@ -4,7 +4,7 @@
 Minimum-width floating-point typedefs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html
index 936347269..73de7db52 100644
--- a/doc/html/math_toolkit/multiprecision.html
+++ b/doc/html/math_toolkit/multiprecision.html
@@ -4,7 +4,7 @@
 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 fa0e2882f..ff7f50577 100644
--- a/doc/html/math_toolkit/naive_monte_carlo.html
+++ b/doc/html/math_toolkit/naive_monte_carlo.html
@@ -4,7 +4,7 @@
 Naive Monte Carlo Integration
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html
index 37807de54..d94ded6b4 100644
--- a/doc/html/math_toolkit/namespaces.html
+++ b/doc/html/math_toolkit/namespaces.html
@@ -4,7 +4,7 @@
 Namespaces
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html
index 4e2da92a4..c7a427f2a 100644
--- a/doc/html/math_toolkit/navigation.html
+++ b/doc/html/math_toolkit/navigation.html
@@ -4,7 +4,7 @@
 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 279d688fb..125416f5d 100644
--- a/doc/html/math_toolkit/new_const.html
+++ b/doc/html/math_toolkit/new_const.html
@@ -4,7 +4,7 @@
 Defining New Constants
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html
index dd95ae363..da7ff642d 100644
--- a/doc/html/math_toolkit/next_float.html
+++ b/doc/html/math_toolkit/next_float.html
@@ -4,7 +4,7 @@
 Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html
index 4eb9d5e38..d46ca9217 100644
--- a/doc/html/math_toolkit/next_float/float_advance.html
+++ b/doc/html/math_toolkit/next_float/float_advance.html
@@ -4,7 +4,7 @@
 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 6290faf52..1b52933a3 100644
--- a/doc/html/math_toolkit/next_float/float_distance.html
+++ b/doc/html/math_toolkit/next_float/float_distance.html
@@ -4,7 +4,7 @@
 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 d3d00f438..ab862b39e 100644
--- a/doc/html/math_toolkit/next_float/float_next.html
+++ b/doc/html/math_toolkit/next_float/float_next.html
@@ -4,7 +4,7 @@
 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 e38f37b4c..a09ffacfb 100644
--- a/doc/html/math_toolkit/next_float/float_prior.html
+++ b/doc/html/math_toolkit/next_float/float_prior.html
@@ -4,7 +4,7 @@
 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 48885ee3a..46a5afef2 100644
--- a/doc/html/math_toolkit/next_float/nextafter.html
+++ b/doc/html/math_toolkit/next_float/nextafter.html
@@ -4,7 +4,7 @@
 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 50be46604..d31dac6bf 100644
--- a/doc/html/math_toolkit/next_float/ulp.html
+++ b/doc/html/math_toolkit/next_float/ulp.html
@@ -4,7 +4,7 @@
 Obtaining the Size of a Unit In the Last Place - ULP
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html
index 62139fc8a..369731dbe 100644
--- a/doc/html/math_toolkit/number_series.html
+++ b/doc/html/math_toolkit/number_series.html
@@ -4,7 +4,7 @@
 Number Series
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html
index 6f659fbd2..c4e3c920b 100644
--- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html
+++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html
@@ -4,7 +4,7 @@
 Bernoulli Numbers
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html
index 7d146014b..d26196571 100644
--- a/doc/html/math_toolkit/number_series/primes.html
+++ b/doc/html/math_toolkit/number_series/primes.html
@@ -4,7 +4,7 @@
 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 869578073..0cb2a16e0 100644
--- a/doc/html/math_toolkit/number_series/tangent_numbers.html
+++ b/doc/html/math_toolkit/number_series/tangent_numbers.html
@@ -4,7 +4,7 @@
 Tangent Numbers
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html
index a7995f046..613fd030c 100644
--- a/doc/html/math_toolkit/oct_create.html
+++ b/doc/html/math_toolkit/oct_create.html
@@ -4,7 +4,7 @@
 Octonion Creation Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html
index 6e82f9b00..28a4492fe 100644
--- a/doc/html/math_toolkit/oct_header.html
+++ b/doc/html/math_toolkit/oct_header.html
@@ -4,7 +4,7 @@
 Header File
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html
index 5a334af19..af317bfc6 100644
--- a/doc/html/math_toolkit/oct_history.html
+++ b/doc/html/math_toolkit/oct_history.html
@@ -4,7 +4,7 @@
 History
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html
index d40546e74..6deee80e8 100644
--- a/doc/html/math_toolkit/oct_mem_fun.html
+++ b/doc/html/math_toolkit/oct_mem_fun.html
@@ -4,7 +4,7 @@
 Octonion Member Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html
index 1bbc85047..ea28fe20c 100644
--- a/doc/html/math_toolkit/oct_non_mem.html
+++ b/doc/html/math_toolkit/oct_non_mem.html
@@ -4,7 +4,7 @@
 Octonion Non-Member Operators
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html
index 2fe764edc..e3b6ac64c 100644
--- a/doc/html/math_toolkit/oct_overview.html
+++ b/doc/html/math_toolkit/oct_overview.html
@@ -4,7 +4,7 @@
 Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html
index 666321495..71fae393d 100644
--- a/doc/html/math_toolkit/oct_specialization.html
+++ b/doc/html/math_toolkit/oct_specialization.html
@@ -4,7 +4,7 @@
 Octonion Specializations
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html
index 4f5870cbd..66ff03d2a 100644
--- a/doc/html/math_toolkit/oct_synopsis.html
+++ b/doc/html/math_toolkit/oct_synopsis.html
@@ -4,7 +4,7 @@
 Synopsis
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html
index 3ffb1e1dc..38afca672 100644
--- a/doc/html/math_toolkit/oct_tests.html
+++ b/doc/html/math_toolkit/oct_tests.html
@@ -4,7 +4,7 @@
 Test Program
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html
index 2245bc8ae..03a0a63d4 100644
--- a/doc/html/math_toolkit/oct_todo.html
+++ b/doc/html/math_toolkit/oct_todo.html
@@ -4,7 +4,7 @@
 To Do
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html
index 9551d2661..e1b0a0fab 100644
--- a/doc/html/math_toolkit/oct_trans.html
+++ b/doc/html/math_toolkit/oct_trans.html
@@ -4,7 +4,7 @@
 Octonions Transcendentals
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html
index 67c3afd54..17d30923f 100644
--- a/doc/html/math_toolkit/oct_typedefs.html
+++ b/doc/html/math_toolkit/oct_typedefs.html
@@ -4,7 +4,7 @@
 Octonion Member Typedefs
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html
index d659bc367..824667170 100644
--- a/doc/html/math_toolkit/oct_value_ops.html
+++ b/doc/html/math_toolkit/oct_value_ops.html
@@ -4,7 +4,7 @@
 Octonion Value Operations
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html
index f4febe710..2b736a722 100644
--- a/doc/html/math_toolkit/octonion.html
+++ b/doc/html/math_toolkit/octonion.html
@@ -4,7 +4,7 @@
 Template Class octonion
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html
index 3678a1b42..0170adee0 100644
--- a/doc/html/math_toolkit/overview_tr1.html
+++ b/doc/html/math_toolkit/overview_tr1.html
@@ -4,7 +4,7 @@
 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 22f1c7b18..cd2ff195b 100644
--- a/doc/html/math_toolkit/owens_t.html
+++ b/doc/html/math_toolkit/owens_t.html
@@ -4,7 +4,7 @@
 Owen's T function
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html
index f42f2573b..f1f577ba1 100644
--- a/doc/html/math_toolkit/perf_over1.html
+++ b/doc/html/math_toolkit/perf_over1.html
@@ -4,7 +4,7 @@
 Performance
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html
index fbd349375..9adc74c3c 100644
--- a/doc/html/math_toolkit/perf_over2.html
+++ b/doc/html/math_toolkit/perf_over2.html
@@ -4,7 +4,7 @@
 Performance Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html
index 94ae4db64..b14a298b6 100644
--- a/doc/html/math_toolkit/perf_test_app.html
+++ b/doc/html/math_toolkit/perf_test_app.html
@@ -4,7 +4,7 @@
 The Performance Test Applications
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html
index 21cee1ccd..8affa1145 100644
--- a/doc/html/math_toolkit/pol_overview.html
+++ b/doc/html/math_toolkit/pol_overview.html
@@ -4,7 +4,7 @@
 Policy Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html
index fed1a2127..7bbdac640 100644
--- a/doc/html/math_toolkit/pol_ref.html
+++ b/doc/html/math_toolkit/pol_ref.html
@@ -4,7 +4,7 @@
 Policy Reference
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html
index afbd3ebac..886814419 100644
--- a/doc/html/math_toolkit/pol_ref/assert_undefined.html
+++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html
@@ -4,7 +4,7 @@
 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 1a987c8f1..38d6bedec 100644
--- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html
+++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html
@@ -4,7 +4,7 @@
 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 21808958c..1ddb9ac8f 100644
--- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html
+++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html
@@ -4,7 +4,7 @@
 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 31bca87dd..f90b050a1 100644
--- a/doc/html/math_toolkit/pol_ref/internal_promotion.html
+++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html
@@ -4,7 +4,7 @@
 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 69e1c4462..523bb9dad 100644
--- a/doc/html/math_toolkit/pol_ref/iteration_pol.html
+++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html
@@ -4,7 +4,7 @@
 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 2d6497250..d0dd99799 100644
--- a/doc/html/math_toolkit/pol_ref/namespace_pol.html
+++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html
@@ -4,7 +4,7 @@
 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 ae21b9f20..d26545a15 100644
--- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html
+++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html
@@ -4,7 +4,7 @@
 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 3a1c53d79..0b6b896aa 100644
--- a/doc/html/math_toolkit/pol_ref/policy_defaults.html
+++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html
@@ -4,7 +4,7 @@
 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 6668c35d6..3e3fd2973 100644
--- a/doc/html/math_toolkit/pol_ref/precision_pol.html
+++ b/doc/html/math_toolkit/pol_ref/precision_pol.html
@@ -4,7 +4,7 @@
 Precision Policies
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html
index c26152517..df6bbe64f 100644
--- a/doc/html/math_toolkit/pol_tutorial.html
+++ b/doc/html/math_toolkit/pol_tutorial.html
@@ -4,7 +4,7 @@
 Policy Tutorial
 
 
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+
 
 
 
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 aa870b91e..841243795 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
@@ -4,7 +4,7 @@
 Setting Policies for Distributions on an Ad Hoc Basis
 
 
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+
 
 
 
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 0b6c1dad9..c5402b4fb 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
@@ -4,7 +4,7 @@
 Changing the Policy on an Ad Hoc Basis for the Special Functions
 
 
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+
 
 
 
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 5c290f413..c694d1857 100644
--- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html
+++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html
@@ -4,7 +4,7 @@
 Changing the Policy Defaults
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html
index d9c3a3428..0e3307bfc 100644
--- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html
+++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html
@@ -4,7 +4,7 @@
 Setting Policies at Namespace or Translation Unit Scope
 
 
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+
 
 
 
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 997c4fcfb..95572b329 100644
--- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html
+++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html
@@ -4,7 +4,7 @@
 Policies Have Sensible Defaults
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html
index 017c611bf..adbb0d4f1 100644
--- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html
+++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html
@@ -4,7 +4,7 @@
 So How are Policies Used Anyway?
 
 
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+
 
 
 
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 050fbb0c7..c6124830f 100644
--- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html
+++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html
@@ -4,7 +4,7 @@
 Understanding Quantiles of Discrete Distributions
 
 
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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 31268ef09..03f027043 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
@@ -4,7 +4,7 @@
 Calling User Defined Error Handlers
 
 
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+
 
 
 
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 7001d0918..4bee78947 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
@@ -4,7 +4,7 @@
 So Just What is a Policy Anyway?
 
 
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diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html
index 086e9158a..ca4d53d90 100644
--- a/doc/html/math_toolkit/polynomials.html
+++ b/doc/html/math_toolkit/polynomials.html
@@ -4,7 +4,7 @@
 Polynomials
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html
index 43ce6b4a9..8e1b34aeb 100644
--- a/doc/html/math_toolkit/powers.html
+++ b/doc/html/math_toolkit/powers.html
@@ -4,7 +4,7 @@
 Basic Functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html
index c7a6281ac..881958001 100644
--- a/doc/html/math_toolkit/powers/cbrt.html
+++ b/doc/html/math_toolkit/powers/cbrt.html
@@ -4,7 +4,7 @@
 cbrt
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html
index bcb6cd965..395acfa8e 100644
--- a/doc/html/math_toolkit/powers/cos_pi.html
+++ b/doc/html/math_toolkit/powers/cos_pi.html
@@ -4,7 +4,7 @@
 cos_pi
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html
index f0efabfbb..ffdbfd0a2 100644
--- a/doc/html/math_toolkit/powers/ct_pow.html
+++ b/doc/html/math_toolkit/powers/ct_pow.html
@@ -4,7 +4,7 @@
 Compile Time Power of a Runtime Base
 
 
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diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html
index 9b6950571..51624c63f 100644
--- a/doc/html/math_toolkit/powers/expm1.html
+++ b/doc/html/math_toolkit/powers/expm1.html
@@ -4,7 +4,7 @@
 expm1
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html
index 7ee56794c..553775064 100644
--- a/doc/html/math_toolkit/powers/hypot.html
+++ b/doc/html/math_toolkit/powers/hypot.html
@@ -4,7 +4,7 @@
 hypot
 
 
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diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html
index 345996624..da5e1987d 100644
--- a/doc/html/math_toolkit/powers/log1p.html
+++ b/doc/html/math_toolkit/powers/log1p.html
@@ -4,7 +4,7 @@
 log1p
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html
index 5d4144f77..a13e3a3aa 100644
--- a/doc/html/math_toolkit/powers/powm1.html
+++ b/doc/html/math_toolkit/powers/powm1.html
@@ -4,7 +4,7 @@
 powm1
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html
index 874ffb200..341098cf1 100644
--- a/doc/html/math_toolkit/powers/sin_pi.html
+++ b/doc/html/math_toolkit/powers/sin_pi.html
@@ -4,7 +4,7 @@
 sin_pi
 
 
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diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html
index 842426949..33208dc0b 100644
--- a/doc/html/math_toolkit/powers/sqrt1pm1.html
+++ b/doc/html/math_toolkit/powers/sqrt1pm1.html
@@ -4,7 +4,7 @@
 sqrt1pm1
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html
index 4e644c067..71ff8d735 100644
--- a/doc/html/math_toolkit/quat.html
+++ b/doc/html/math_toolkit/quat.html
@@ -4,7 +4,7 @@
 Template Class quaternion
 
 
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diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html
index 9def0ba51..6948831bf 100644
--- a/doc/html/math_toolkit/quat_header.html
+++ b/doc/html/math_toolkit/quat_header.html
@@ -4,7 +4,7 @@
 Header File
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html
index e2ae9a124..c13ad791b 100644
--- a/doc/html/math_toolkit/quat_history.html
+++ b/doc/html/math_toolkit/quat_history.html
@@ -4,7 +4,7 @@
 History
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html
index fe73ed3fa..35bf4bbec 100644
--- a/doc/html/math_toolkit/quat_mem_fun.html
+++ b/doc/html/math_toolkit/quat_mem_fun.html
@@ -4,7 +4,7 @@
 Quaternion Member Functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html
index 72fe762fe..cbebdab79 100644
--- a/doc/html/math_toolkit/quat_non_mem.html
+++ b/doc/html/math_toolkit/quat_non_mem.html
@@ -4,7 +4,7 @@
 Quaternion Non-Member Operators
 
 
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diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html
index a8587cb71..b0c62554c 100644
--- a/doc/html/math_toolkit/quat_overview.html
+++ b/doc/html/math_toolkit/quat_overview.html
@@ -4,7 +4,7 @@
 Overview
 
 
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diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html
index b40eeea4b..cc089ceda 100644
--- a/doc/html/math_toolkit/quat_synopsis.html
+++ b/doc/html/math_toolkit/quat_synopsis.html
@@ -4,7 +4,7 @@
 Synopsis
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html
index 0aa803d54..80ba29c90 100644
--- a/doc/html/math_toolkit/quat_tests.html
+++ b/doc/html/math_toolkit/quat_tests.html
@@ -4,7 +4,7 @@
 Test Program
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html
index c6494765b..52e315c5d 100644
--- a/doc/html/math_toolkit/quat_todo.html
+++ b/doc/html/math_toolkit/quat_todo.html
@@ -4,7 +4,7 @@
 To Do
 
 
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diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html
index 40b05ff90..a58a7f178 100644
--- a/doc/html/math_toolkit/rational.html
+++ b/doc/html/math_toolkit/rational.html
@@ -4,7 +4,7 @@
 Polynomial and Rational Function Evaluation
 
 
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diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html
index 9598f2e2f..8a7aeb851 100644
--- a/doc/html/math_toolkit/rationale.html
+++ b/doc/html/math_toolkit/rationale.html
@@ -4,7 +4,7 @@
 Rationale
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html
index 8e903c396..11e53d502 100644
--- a/doc/html/math_toolkit/real_concepts.html
+++ b/doc/html/math_toolkit/real_concepts.html
@@ -4,7 +4,7 @@
 Conceptual Requirements for Real Number Types
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html
index 3d0bd079d..859e35a71 100644
--- a/doc/html/math_toolkit/refs.html
+++ b/doc/html/math_toolkit/refs.html
@@ -4,7 +4,7 @@
 References
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html
index c9cd4b6b8..ab3471bdc 100644
--- a/doc/html/math_toolkit/relative_error.html
+++ b/doc/html/math_toolkit/relative_error.html
@@ -4,7 +4,7 @@
 Relative Error
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html
index a2b65bf2d..7c4eb8c61 100644
--- a/doc/html/math_toolkit/remez.html
+++ b/doc/html/math_toolkit/remez.html
@@ -4,7 +4,7 @@
 The Remez Method
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html
index c375e7430..2c6264d52 100644
--- a/doc/html/math_toolkit/result_type.html
+++ b/doc/html/math_toolkit/result_type.html
@@ -4,7 +4,7 @@
 Calculation of the Type of the Result
 
 
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diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html
index 3fd6915db..1ddb29644 100644
--- a/doc/html/math_toolkit/root_comparison.html
+++ b/doc/html/math_toolkit/root_comparison.html
@@ -4,7 +4,7 @@
 Comparison of Root Finding Algorithms
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html
index 710b42270..f77b88eed 100644
--- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html
+++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html
@@ -4,7 +4,7 @@
 Comparison of Cube Root Finding Algorithms
 
 
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diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html
index 025d68fed..8b41a8635 100644
--- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html
+++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html
@@ -4,7 +4,7 @@
 Comparison of Elliptic Integral Root Finding Algoritghms
 
 
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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 13437a4bc..78318390a 100644
--- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html
+++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html
@@ -4,7 +4,7 @@
 Comparison of Nth-root Finding Algorithms
 
 
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diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html
index ff904d53d..b6864853e 100644
--- a/doc/html/math_toolkit/root_finding_examples.html
+++ b/doc/html/math_toolkit/root_finding_examples.html
@@ -4,7 +4,7 @@
 Examples of Root-Finding (with and without derivatives)
 
 
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+
 
 
 
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 56a810af2..ca0b2f74a 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
@@ -4,7 +4,7 @@
 Computing the Fifth Root
 
 
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+
 
 
 
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 a3af9283d..e0eb545ac 100644
--- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html
+++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html
@@ -4,7 +4,7 @@
 Finding the Cubed Root With and Without Derivatives
 
 
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+
 
 
 
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 572c06786..8fbb3276b 100644
--- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html
+++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html
@@ -4,7 +4,7 @@
 A More complex example - Inverting the Elliptic Integrals
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html
index bfd561e13..8916e1417 100644
--- a/doc/html/math_toolkit/root_finding_examples/lambda.html
+++ b/doc/html/math_toolkit/root_finding_examples/lambda.html
@@ -4,7 +4,7 @@
 Using C++11 Lambda's
 
 
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+
 
 
 
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 df4a8031c..5502e1835 100644
--- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html
+++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html
@@ -4,7 +4,7 @@
 Root-finding using Boost.Multiprecision
 
 
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+
 
 
 
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 f27792a7b..8772bba09 100644
--- a/doc/html/math_toolkit/root_finding_examples/nth_root.html
+++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html
@@ -4,7 +4,7 @@
 Generalizing to Compute the nth root
 
 
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diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html
index 92a25cdf3..deb42e39f 100644
--- a/doc/html/math_toolkit/roots_deriv.html
+++ b/doc/html/math_toolkit/roots_deriv.html
@@ -4,7 +4,7 @@
 Root Finding With Derivatives: Newton-Raphson, Halley & Schröder
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html
index 49550d3e3..86923e0bd 100644
--- a/doc/html/math_toolkit/roots_noderiv.html
+++ b/doc/html/math_toolkit/roots_noderiv.html
@@ -4,7 +4,7 @@
 Root Finding Without Derivatives
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html
index f43189a62..19705190d 100644
--- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html
+++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html
@@ -4,7 +4,7 @@
 Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html
index 817a2ff97..9cad6f241 100644
--- a/doc/html/math_toolkit/roots_noderiv/bisect.html
+++ b/doc/html/math_toolkit/roots_noderiv/bisect.html
@@ -4,7 +4,7 @@
 Bisection
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html
index f5ce35019..d9c9c8b8b 100644
--- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html
+++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html
@@ -4,7 +4,7 @@
 Bracket and Solve Root
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html
index 441d58027..fff7e5c28 100644
--- a/doc/html/math_toolkit/roots_noderiv/brent.html
+++ b/doc/html/math_toolkit/roots_noderiv/brent.html
@@ -4,7 +4,7 @@
 Brent-Decker Algorithm
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html
index d0a2fc91f..efedb9691 100644
--- a/doc/html/math_toolkit/roots_noderiv/implementation.html
+++ b/doc/html/math_toolkit/roots_noderiv/implementation.html
@@ -4,7 +4,7 @@
 Implementation
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html
index b8dcc3f57..5d4d69b21 100644
--- a/doc/html/math_toolkit/roots_noderiv/root_termination.html
+++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html
@@ -4,7 +4,7 @@
 Termination Condition Functors
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html
index 41d65c4dc..76bbb4f38 100644
--- a/doc/html/math_toolkit/rounding.html
+++ b/doc/html/math_toolkit/rounding.html
@@ -4,7 +4,7 @@
 Rounding Truncation and Integer Conversion
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html
index 6ba8378fe..f916f6c66 100644
--- a/doc/html/math_toolkit/rounding/modf.html
+++ b/doc/html/math_toolkit/rounding/modf.html
@@ -4,7 +4,7 @@
 Integer and Fractional Part Splitting (modf)
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html
index e91750679..31a50bb20 100644
--- a/doc/html/math_toolkit/rounding/round.html
+++ b/doc/html/math_toolkit/rounding/round.html
@@ -4,7 +4,7 @@
 Rounding Functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html
index 43aa1c7a8..842fa3839 100644
--- a/doc/html/math_toolkit/rounding/trunc.html
+++ b/doc/html/math_toolkit/rounding/trunc.html
@@ -4,7 +4,7 @@
 Truncation Functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html
index 81d34d025..1abd66b8e 100644
--- a/doc/html/math_toolkit/sf_beta.html
+++ b/doc/html/math_toolkit/sf_beta.html
@@ -4,7 +4,7 @@
 Beta Functions
 
 
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+
 
 
 
diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html
index c2faf7d02..fe5250043 100644
--- a/doc/html/math_toolkit/sf_beta/beta_derivative.html
+++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html
@@ -4,7 +4,7 @@
 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 f83ff27eb..a162c9033 100644
--- a/doc/html/math_toolkit/sf_beta/beta_function.html
+++ b/doc/html/math_toolkit/sf_beta/beta_function.html
@@ -4,7 +4,7 @@
 Beta
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html
index 96e9d56e5..28f63ed71 100644
--- a/doc/html/math_toolkit/sf_beta/ibeta_function.html
+++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html
@@ -4,7 +4,7 @@
 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 029b403e8..2b1e85d68 100644
--- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html
+++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html
@@ -4,7 +4,7 @@
 The Incomplete Beta Function Inverses
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html
index e6e46ba3b..02232e899 100644
--- a/doc/html/math_toolkit/sf_erf.html
+++ b/doc/html/math_toolkit/sf_erf.html
@@ -4,7 +4,7 @@
 Error Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html
index 1617993f8..43a709052 100644
--- a/doc/html/math_toolkit/sf_erf/error_function.html
+++ b/doc/html/math_toolkit/sf_erf/error_function.html
@@ -4,7 +4,7 @@
 Error Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html
index 5a98a471d..4614b4184 100644
--- a/doc/html/math_toolkit/sf_erf/error_inv.html
+++ b/doc/html/math_toolkit/sf_erf/error_inv.html
@@ -4,7 +4,7 @@
 Error Function Inverses
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html
index 374816b01..11ec2fac3 100644
--- a/doc/html/math_toolkit/sf_gamma.html
+++ b/doc/html/math_toolkit/sf_gamma.html
@@ -4,7 +4,7 @@
 Gamma Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html
index de0c8a8c7..1b7d046a3 100644
--- a/doc/html/math_toolkit/sf_gamma/digamma.html
+++ b/doc/html/math_toolkit/sf_gamma/digamma.html
@@ -4,7 +4,7 @@
 Digamma
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html
index 67ed502ed..adc0c6b6b 100644
--- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html
+++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html
@@ -4,7 +4,7 @@
 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 751463273..2acc71510 100644
--- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html
+++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html
@@ -4,7 +4,7 @@
 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 2f1df4be2..b8bf9582a 100644
--- a/doc/html/math_toolkit/sf_gamma/igamma.html
+++ b/doc/html/math_toolkit/sf_gamma/igamma.html
@@ -4,7 +4,7 @@
 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 37148c0df..45b865bd6 100644
--- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html
+++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html
@@ -4,7 +4,7 @@
 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 030defe8b..0becfa590 100644
--- a/doc/html/math_toolkit/sf_gamma/lgamma.html
+++ b/doc/html/math_toolkit/sf_gamma/lgamma.html
@@ -4,7 +4,7 @@
 Log Gamma
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html
index c3e396a7b..30b606149 100644
--- a/doc/html/math_toolkit/sf_gamma/polygamma.html
+++ b/doc/html/math_toolkit/sf_gamma/polygamma.html
@@ -4,7 +4,7 @@
 Polygamma
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html
index 7260b1d68..bd3dab7f3 100644
--- a/doc/html/math_toolkit/sf_gamma/tgamma.html
+++ b/doc/html/math_toolkit/sf_gamma/tgamma.html
@@ -4,7 +4,7 @@
 Gamma
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html
index 1d869959c..932092f53 100644
--- a/doc/html/math_toolkit/sf_gamma/trigamma.html
+++ b/doc/html/math_toolkit/sf_gamma/trigamma.html
@@ -4,7 +4,7 @@
 Trigamma
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html
index 7064dfa55..3808531d5 100644
--- a/doc/html/math_toolkit/sf_implementation.html
+++ b/doc/html/math_toolkit/sf_implementation.html
@@ -4,7 +4,7 @@
 Additional Implementation Notes
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html
index dd27a05f3..1e2a966fb 100644
--- a/doc/html/math_toolkit/sf_poly.html
+++ b/doc/html/math_toolkit/sf_poly.html
@@ -4,7 +4,7 @@
 Polynomials
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html
index fc87c76f0..d8c78484e 100644
--- a/doc/html/math_toolkit/sf_poly/chebyshev.html
+++ b/doc/html/math_toolkit/sf_poly/chebyshev.html
@@ -4,7 +4,7 @@
 Chebyshev Polynomials
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html
index 513c3cb14..c466c3bed 100644
--- a/doc/html/math_toolkit/sf_poly/hermite.html
+++ b/doc/html/math_toolkit/sf_poly/hermite.html
@@ -4,7 +4,7 @@
 Hermite Polynomials
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html
index 6f5861980..17f4429ae 100644
--- a/doc/html/math_toolkit/sf_poly/laguerre.html
+++ b/doc/html/math_toolkit/sf_poly/laguerre.html
@@ -4,7 +4,7 @@
 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 87363ebe9..90080b96c 100644
--- a/doc/html/math_toolkit/sf_poly/legendre.html
+++ b/doc/html/math_toolkit/sf_poly/legendre.html
@@ -4,7 +4,7 @@
 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 b786f5481..36c37b955 100644
--- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html
+++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html
@@ -4,7 +4,7 @@
 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 f7eee5da6..79d9658f5 100644
--- a/doc/html/math_toolkit/sf_poly/sph_harm.html
+++ b/doc/html/math_toolkit/sf_poly/sph_harm.html
@@ -4,7 +4,7 @@
 Spherical Harmonics
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html
index b6ed2ac9b..674183c12 100644
--- a/doc/html/math_toolkit/sign_functions.html
+++ b/doc/html/math_toolkit/sign_functions.html
@@ -4,7 +4,7 @@
 Sign Manipulation Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html
index f02699f20..f70639ed2 100644
--- a/doc/html/math_toolkit/sinc.html
+++ b/doc/html/math_toolkit/sinc.html
@@ -4,7 +4,7 @@
 Sinus Cardinal and Hyperbolic Sinus Cardinal Functions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html
index c248db974..99868df50 100644
--- a/doc/html/math_toolkit/sinc/sinc_overview.html
+++ b/doc/html/math_toolkit/sinc/sinc_overview.html
@@ -4,7 +4,7 @@
 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 87df35295..1b38e2816 100644
--- a/doc/html/math_toolkit/sinc/sinc_pi.html
+++ b/doc/html/math_toolkit/sinc/sinc_pi.html
@@ -4,7 +4,7 @@
 sinc_pi
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html
index 73760bfcd..5b5945fad 100644
--- a/doc/html/math_toolkit/sinc/sinhc_pi.html
+++ b/doc/html/math_toolkit/sinc/sinhc_pi.html
@@ -4,7 +4,7 @@
 sinhc_pi
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html
index 04cbc70b3..b09d6711d 100644
--- a/doc/html/math_toolkit/spec.html
+++ b/doc/html/math_toolkit/spec.html
@@ -4,7 +4,7 @@
 Quaternion Specializations
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html
index 0475178c4..d6ef776b3 100644
--- a/doc/html/math_toolkit/special_tut.html
+++ b/doc/html/math_toolkit/special_tut.html
@@ -4,7 +4,7 @@
 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 a25fcb99d..3e89d40e1 100644
--- a/doc/html/math_toolkit/special_tut/special_tut_impl.html
+++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html
@@ -4,7 +4,7 @@
 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 4005f1033..b8b2cd81c 100644
--- a/doc/html/math_toolkit/special_tut/special_tut_test.html
+++ b/doc/html/math_toolkit/special_tut/special_tut_test.html
@@ -4,7 +4,7 @@
 Testing
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html
index 8a8f48c8a..9a1665eb8 100644
--- a/doc/html/math_toolkit/specified_typedefs.html
+++ b/doc/html/math_toolkit/specified_typedefs.html
@@ -4,7 +4,7 @@
 Overview
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html
index 92f4418d3..d61cfdc81 100644
--- a/doc/html/math_toolkit/stat_tut.html
+++ b/doc/html/math_toolkit/stat_tut.html
@@ -4,7 +4,7 @@
 Statistical Distributions Tutorial
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html
index 1303dc8ce..66bc6cfb0 100644
--- a/doc/html/math_toolkit/stat_tut/dist_params.html
+++ b/doc/html/math_toolkit/stat_tut/dist_params.html
@@ -4,7 +4,7 @@
 Discrete Probability Distributions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html
index 06913bc86..fa34f090d 100644
--- a/doc/html/math_toolkit/stat_tut/overview.html
+++ b/doc/html/math_toolkit/stat_tut/overview.html
@@ -4,7 +4,7 @@
 Overview of Distributions
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html
index 27b5d1828..5bdaed8b8 100644
--- a/doc/html/math_toolkit/stat_tut/overview/complements.html
+++ b/doc/html/math_toolkit/stat_tut/overview/complements.html
@@ -4,7 +4,7 @@
 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 7aa7471cd..346df357e 100644
--- a/doc/html/math_toolkit/stat_tut/overview/generic.html
+++ b/doc/html/math_toolkit/stat_tut/overview/generic.html
@@ -4,7 +4,7 @@
 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 8a0b276c0..84e825243 100644
--- a/doc/html/math_toolkit/stat_tut/overview/headers.html
+++ b/doc/html/math_toolkit/stat_tut/overview/headers.html
@@ -4,7 +4,7 @@
 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 7d656eb9d..28f409494 100644
--- a/doc/html/math_toolkit/stat_tut/overview/objects.html
+++ b/doc/html/math_toolkit/stat_tut/overview/objects.html
@@ -4,7 +4,7 @@
 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 524a75c79..730dc2a7f 100644
--- a/doc/html/math_toolkit/stat_tut/overview/parameters.html
+++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html
@@ -4,7 +4,7 @@
 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 66b9ad0dd..aa7b3e171 100644
--- a/doc/html/math_toolkit/stat_tut/overview/summary.html
+++ b/doc/html/math_toolkit/stat_tut/overview/summary.html
@@ -4,7 +4,7 @@
 Summary
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html
index a7c2c810f..cdf3d2034 100644
--- a/doc/html/math_toolkit/stat_tut/variates.html
+++ b/doc/html/math_toolkit/stat_tut/variates.html
@@ -4,7 +4,7 @@
 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 a92902721..042e4ac08 100644
--- a/doc/html/math_toolkit/stat_tut/weg.html
+++ b/doc/html/math_toolkit/stat_tut/weg.html
@@ -4,7 +4,7 @@
 Worked Examples
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html
index 7d570b2c4..110f54019 100644
--- a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html
@@ -4,7 +4,7 @@
 Binomial Distribution Examples
 
 
-
+
 
 
 
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 2bfa78f74..02cde4588 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
@@ -4,7 +4,7 @@
 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 6eeecbacc..d6eb1708d 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
@@ -4,7 +4,7 @@
 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 f9a64a15d..b2a5b9ee7 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
@@ -4,7 +4,7 @@
 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 246d7d03e..46ce32311 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
@@ -4,7 +4,7 @@
 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 5c5c174be..048bead45 100644
--- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html
+++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html
@@ -4,7 +4,7 @@
 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 e0ba745b1..1b7ca0fd7 100644
--- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html
@@ -4,7 +4,7 @@
 Chi Squared Distribution Examples
 
 
-
+
 
 
 
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 1cd3cfb68..67c474f81 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
@@ -4,7 +4,7 @@
 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 74a79f645..ed8bd710f 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
@@ -4,7 +4,7 @@
 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 20684ac9c..14e9dd63f 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
@@ -4,7 +4,7 @@
 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 4653e240f..cd44b92cf 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
@@ -4,7 +4,7 @@
 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 981f1e36d..d9a999316 100644
--- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html
@@ -4,7 +4,7 @@
 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 1ed59d1d9..ade0e02a1 100644
--- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html
@@ -4,7 +4,7 @@
 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 9eea5aa0f..1769348ec 100644
--- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html
@@ -4,7 +4,7 @@
 Find Location and Scale Examples
 
 
-
+
 
 
 
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 ca7f8e626..0ea6aea66 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
@@ -4,7 +4,7 @@
 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 06b5d035d..db5413750 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
@@ -4,7 +4,7 @@
 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 dc5e8d53e..d4d912c14 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
@@ -4,7 +4,7 @@
 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 0d3f1db9c..9dc9f71c9 100644
--- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html
@@ -4,7 +4,7 @@
 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 79a0264df..b6c311c76 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
@@ -4,7 +4,7 @@
 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 73430fe77..6e983a873 100644
--- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html
+++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html
@@ -4,7 +4,7 @@
 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 fc410edfd..99b7d1ca1 100644
--- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html
@@ -4,7 +4,7 @@
 Non Central Chi Squared Example
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html
index d1e7bb74d..662a24747 100644
--- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html
@@ -4,7 +4,7 @@
 Tables of the power function of the chi2 test.
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html
index cec52e5f9..f324a6afc 100644
--- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html
@@ -4,7 +4,7 @@
 Negative Binomial Distribution Examples
 
 
-
+
 
 
 
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 5d3619d54..8a49abbdc 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
@@ -4,7 +4,7 @@
 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 5194b44e4..a390f4ebe 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
@@ -4,7 +4,7 @@
 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 fcbbeeffe..4777746f2 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
@@ -4,7 +4,7 @@
 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 e32aacff4..793530abc 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
@@ -4,7 +4,7 @@
 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 fdc962cdb..45c1c2917 100644
--- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html
+++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html
@@ -4,7 +4,7 @@
 Normal Distribution Examples
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html
index dbad29080..bab9018cd 100644
--- a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html
+++ b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html
@@ -4,7 +4,7 @@
 Some Miscellaneous Examples of the Normal (Gaussian) Distribution
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg.html b/doc/html/math_toolkit/stat_tut/weg/st_eg.html
index dcbc8c366..e6ab33cc9 100644
--- a/doc/html/math_toolkit/stat_tut/weg/st_eg.html
+++ b/doc/html/math_toolkit/stat_tut/weg/st_eg.html
@@ -4,7 +4,7 @@
 Student's t Distribution Examples
 
 
-
+
 
 
 
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 17d8563d2..693c3b4d2 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
@@ -4,7 +4,7 @@
 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 923f480be..50e6c3d22 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
@@ -4,7 +4,7 @@
 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 777a48085..fc2ed9369 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
@@ -4,7 +4,7 @@
 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 fbbc5a99d..72c4db703 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
@@ -4,7 +4,7 @@
 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 b7672f8f5..5cd30d459 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
@@ -4,7 +4,7 @@
 Comparing the means of two samples with the Students-t test
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html
index fd584a86e..04bb31116 100644
--- a/doc/html/math_toolkit/threads.html
+++ b/doc/html/math_toolkit/threads.html
@@ -4,7 +4,7 @@
 Thread Safety
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html
index 996563bd1..eed6dfa3d 100644
--- a/doc/html/math_toolkit/tr1_ref.html
+++ b/doc/html/math_toolkit/tr1_ref.html
@@ -4,7 +4,7 @@
 TR1 C Functions Quick Reference
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html
index 3e5745c34..82e2047d0 100644
--- a/doc/html/math_toolkit/tradoffs.html
+++ b/doc/html/math_toolkit/tradoffs.html
@@ -4,7 +4,7 @@
 Trading Accuracy for Performance
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html
index 16e43b859..457b4489e 100644
--- a/doc/html/math_toolkit/trans.html
+++ b/doc/html/math_toolkit/trans.html
@@ -4,7 +4,7 @@
 Quaternion Transcendentals
 
 
-
+
 
 
 
diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html
index 6b3cf76bb..c693cdb99 100644
--- a/doc/html/math_toolkit/trapezoidal.html
+++ b/doc/html/math_toolkit/trapezoidal.html
@@ -1,10 +1,10 @@
 
 
 
-Adaptive Trapezoidal Quadrature
+Trapezoidal Quadrature
 
 
-
+
 
 
 
@@ -24,7 +24,7 @@
 
 
    
 
    
 
    
 
@@ -34,14 +34,14 @@
 namespace boost{ namespace math{ namespace quadrature {
 
 template<class F, class Real>
-Real trapezoidal(F f, Real a, Real b,
+auto trapezoidal(F f, Real a, Real b,
                  Real tol = sqrt(std::numeric_limits<Real>::epsilon()),
-                 size_t max_refinements = 10,
+                 size_t max_refinements = 12,
                  Real* error_estimate = nullptr,
                  Real* L1 = nullptr);
 
 template<class F, class Real, class Policy>
-Real trapezoidal(F f, Real a, Real b, Real tol, size_t max_refinements,
+auto trapezoidal(F f, Real a, Real b, Real tol, size_t max_refinements,
                  Real* error_estimate, Real* L1, const Policy& pol);
 
 }}} // namespaces
@@ -66,9 +66,9 @@
       seen by examination of the Euler-Maclaurin
       summation formula, which relates a definite integral to its trapezoidal
       sum and error terms proportional to the derivatives of the function at the
-      endpoints. If the derivatives at the endpoints are the same or vanish, then
-      the error very nearly vanishes. Hence the trapezoidal rule is essentially optimal
-      for periodic integrands.
+      endpoints and the Bernoulli numbers. If the derivatives at the endpoints are
+      the same or vanish, then the error very nearly vanishes. Hence the trapezoidal
+      rule is essentially optimal for periodic integrands.
     
    
 
    
       Other classes of integrands which are integrated efficiently by this method
@@ -84,6 +84,30 @@
 auto f = [](double x) { return 1/(5 - 4*cos(x)); };
 double I = trapezoidal(f, 0.0, boost::math::constants::two_pi<double>());
    +

    + The integrand must accept a real number argument, but can return a complex + number. This is useful for contour integrals (which are manifestly periodic) + and high-order numerical differentiation of analytic functions. An example + using the integral definition of the complex Bessel function is shown here: +

    +
    auto bessel_integrand = [&n, &z](double theta)->std::complex<double>
+{
+    std::complex<double> z{2, 3};
+    using std::cos;
+    using std::sin;
+    return cos(z*sin(theta) - 2*theta)/pi<double>();
+};
+
+using boost::math::quadrature::trapezoidal;
+std::complex<double> Jnz = trapezoidal(bessel_integrand, 0.0, pi<Real>());
+
    +

    + Other special functions which are efficiently evaluated in the complex plane + by trapezoidal quadrature are modified Bessel functions and the complementary + error function. Another application of complex-valued trapezoidal quadrature + is computation of high-order numerical derivatives; see Lyness and Moler for + details. +

    Since the routine is adaptive, step sizes are halved continuously until a tolerance is reached. In order to control this tolerance, simply call the routine with @@ -104,13 +128,14 @@

    A question arises as to what to do when successive estimates never pass below - the tolerance threshold. The stepsize would be halved until it eventually would - be flushed to zero, leading to an infinite loop. As such, you may pass an optional - argument max_refinements which - controls how many times the interval may be halved before giving up. By default, - this maximum number of refinement steps is 10, which should never be hit in - double precision unless the function is not periodic. However, for higher-precision - types, it may be of interest to allow the algorithm to compute more refinements: + the tolerance threshold. The stepsize would be halved repeatedly, generating + an exponential explosion in function evaluations. As such, you may pass an + optional argument max_refinements + which controls how many times the interval may be halved before giving up. + By default, this maximum number of refinement steps is 12, which should never + be hit in double precision unless the function is not periodic. However, for + higher-precision types, it may be of interest to allow the algorithm to compute + more refinements: 

    size_t max_refinements = 15;
 long double I = trapezoidal(f, 0.0L, two_pi<long double>(), 1e-9L, max_refinements);
@@ -189,6 +214,16 @@
       Higham, Nicholas J. Accuracy and stability of numerical algorithms.
       Society for industrial and applied mathematics, 2002.
     
    
+
    
+      Lyness, James N., and Cleve B. Moler. Numerical differentiation of
+      analytic functions. SIAM Journal on Numerical Analysis 4.2 (1967):
+      202-210.
+    
    
+
    
+      Gil, Amparo, Javier Segura, and Nico M. Temme. Computing special
+      functions by using quadrature rules. Numerical Algorithms 33.1-4
+      (2003): 265-275.
+    
    
 
 
diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html
index bbb717ce2..f2891bb62 100644
--- a/doc/html/math_toolkit/tuning.html
+++ b/doc/html/math_toolkit/tuning.html
@@ -4,7 +4,7 @@
 Performance Tuning Macros
-
+
diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html
index f1d383706..eac9c48cc 100644
--- a/doc/html/math_toolkit/tutorial.html
+++ b/doc/html/math_toolkit/tutorial.html
@@ -4,7 +4,7 @@
 Tutorial
-
+
diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html
index 2b5a02dc2..d26a20986 100644
--- a/doc/html/math_toolkit/tutorial/non_templ.html
+++ b/doc/html/math_toolkit/tutorial/non_templ.html
@@ -4,7 +4,7 @@
 Use in non-template code
-
+
diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html
index 8db794098..823495684 100644
--- a/doc/html/math_toolkit/tutorial/templ.html
+++ b/doc/html/math_toolkit/tutorial/templ.html
@@ -4,7 +4,7 @@
 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 2a7895d89..6f88df43d 100644
--- a/doc/html/math_toolkit/tutorial/user_def.html
+++ b/doc/html/math_toolkit/tutorial/user_def.html
@@ -4,7 +4,7 @@
 Use With User-Defined Types
-
+
diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html
index 9efdf7f37..67b9f1ce3 100644
--- a/doc/html/math_toolkit/value_op.html
+++ b/doc/html/math_toolkit/value_op.html
@@ -4,7 +4,7 @@
 Quaternion Value Operations
-
+
diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html
index d5628f75b..2961288d3 100644
--- a/doc/html/math_toolkit/zetas.html
+++ b/doc/html/math_toolkit/zetas.html
@@ -4,7 +4,7 @@
 Zeta Functions
-
+
diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html
index 939476d86..ecfbcab2c 100644
--- a/doc/html/math_toolkit/zetas/zeta.html
+++ b/doc/html/math_toolkit/zetas/zeta.html
@@ -4,7 +4,7 @@
 Riemann Zeta Function
-
+
diff --git a/doc/html/octonions.html b/doc/html/octonions.html
index 0b1ff6874..e3cb4564e 100644
--- a/doc/html/octonions.html
+++ b/doc/html/octonions.html
@@ -4,8 +4,8 @@
 Chapter 14. Octonions
-
-
+
+
diff --git a/doc/html/overview.html b/doc/html/overview.html
index 11237a591..bb6e4da89 100644
--- a/doc/html/overview.html
+++ b/doc/html/overview.html
@@ -4,9 +4,9 @@
 Chapter 1. Overview
-
-
-
+
+
+
diff --git a/doc/html/perf.html b/doc/html/perf.html
index 9be3a1972..77723d094 100644
--- a/doc/html/perf.html
+++ b/doc/html/perf.html
@@ -4,8 +4,8 @@
 Chapter 19. Performance
-
-
+
+
diff --git a/doc/html/policy.html b/doc/html/policy.html
index e8a8faae3..b98b45870 100644
--- a/doc/html/policy.html
+++ b/doc/html/policy.html
@@ -4,8 +4,8 @@
 Chapter 18. Policies: Controlling Precision, Error Handling etc
-
-
+
+
diff --git a/doc/html/poly.html b/doc/html/poly.html
index 69c06c1d3..292b5659c 100644
--- a/doc/html/poly.html
+++ b/doc/html/poly.html
@@ -4,8 +4,8 @@
 Chapter 9. Polynomials and Rational Functions
-
-
+
+
diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html
index 88c91fc6a..8e946f7f1 100644
--- a/doc/html/quadrature.html
+++ b/doc/html/quadrature.html
@@ -4,10 +4,10 @@
 Chapter 11. Quadrature and Differentiation
-
-
+
+
-
+
    
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
@@ -28,7 +28,7 @@
 
    
 
    Table of Contents
    
 
    
-
    Adaptive Trapezoidal Quadrature
    
+
    Trapezoidal Quadrature
    
 
    Gauss-Legendre quadrature
    
 
    Gauss-Kronrod Quadrature
    
 
    Double-exponential quadrature
    
diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html
index b0401b4cc..f289d5220 100644
--- a/doc/html/quaternions.html
+++ b/doc/html/quaternions.html
@@ -4,8 +4,8 @@
 Chapter 13. Quaternions
 
 
-
-
+
+
 
 
 
diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html
index bcea62842..321f19502 100644
--- a/doc/html/root_finding.html
+++ b/doc/html/root_finding.html
@@ -4,8 +4,8 @@
 Chapter 8. Root Finding & Minimization Algorithms
 
 
-
-
+
+
 
 
 
diff --git a/doc/html/special.html b/doc/html/special.html
index ded4987b4..a55889593 100644
--- a/doc/html/special.html
+++ b/doc/html/special.html
@@ -4,8 +4,8 @@
 Chapter 6. Special Functions
 
 
-
-
+
+
 
 
 
diff --git a/doc/html/status.html b/doc/html/status.html
index 54ca1e3e2..b15b762ac 100644
--- a/doc/html/status.html
+++ b/doc/html/status.html
@@ -4,8 +4,8 @@
 Chapter 21. Library Status
 
 
-
-
+
+
 
 
 
diff --git a/doc/html/using_udt.html b/doc/html/using_udt.html
index 2d2925402..19fa750b5 100644
--- a/doc/html/using_udt.html
+++ b/doc/html/using_udt.html
@@ -4,8 +4,8 @@
 Chapter 17. Use with User-Defined Floating-Point Types - Boost.Multiprecision and others
 
 
-
-
+
+
 
 
 
diff --git a/doc/html/utils.html b/doc/html/utils.html
index 9b7cbfec1..2e7d50b30 100644
--- a/doc/html/utils.html
+++ b/doc/html/utils.html
@@ -4,8 +4,8 @@
 Chapter 2. Floating Point Utilities
 
 
-
-
+
+
 
 
 
diff --git a/doc/math.qbk b/doc/math.qbk
index 14cf06247..71da94bf0 100644
--- a/doc/math.qbk
+++ b/doc/math.qbk
@@ -9,7 +9,7 @@
     ]
     [authors [Agrawal, Nikhar], [Bikineev, Anton], [Bristow, Paul A.], [Holin, Hubert], [Guazzone, Marco], [Kormanyos, Christopher], [Lalande, Bruno], [Maddock, John], [Murphy, Jeremy W.], [Råde, Johan], [Sobotta, Benjamin], [Sewani, Gautam], [Thompson, Nicholas], [van den Berg, Thijs], [Walker, Daryle], [Zhang, Xiaogang]]
     [/last-revision $Date$]
-    [version 2.6.0]
+    [version 2.6.1]
 ]
 
 [template mathpart[id title]
diff --git a/doc/overview/roadmap.qbk b/doc/overview/roadmap.qbk
index 92c6f97d0..64def73dd 100644
--- a/doc/overview/roadmap.qbk
+++ b/doc/overview/roadmap.qbk
@@ -6,6 +6,11 @@ Currently open bug reports can be viewed
 All bug reports including closed ones can be viewed
 [@https://svn.boost.org/trac/boost/query?status=assigned&status=closed&status=new&status=reopened&component=math&col=id&col=summary&col=status&col=type&col=milestone&col=component&order=priority here].
 
+[h4 Math-2.7.1 (Boost-1.68)]
+
+* Continue to improve numerical integration routines, and in particular add support for contour integrals.
+* Improve accuracy of erfc function's rational approximations.
+
 [h4 Math-2.7.0 (Boost-1.66)]
 
 * Add Gauss and Gauss-Kronrod quadrature routines.