From 9d16324b796283ebe060dff02cd7c10e8493e30f Mon Sep 17 00:00:00 2001 From: John Maddock Date: Mon, 26 Nov 2012 16:59:39 +0000 Subject: [PATCH] Tweak docs and regenerate. Fix doc Jamfile. Add redirect index.html. [SVN r81553] --- doc/Jamfile.v2 | 4 +- doc/html/boost_multiprecision/indexes.html | 15 ++- .../boost_multiprecision/indexes/s01.html | 19 +++- .../boost_multiprecision/indexes/s02.html | 19 +++- .../boost_multiprecision/indexes/s03.html | 19 +++- .../boost_multiprecision/indexes/s04.html | 19 +++- doc/html/boost_multiprecision/intro.html | 51 +++++++-- doc/html/boost_multiprecision/map.html | 15 ++- doc/html/boost_multiprecision/map/ack.html | 15 ++- doc/html/boost_multiprecision/map/faq.html | 15 ++- doc/html/boost_multiprecision/map/hist.html | 15 ++- doc/html/boost_multiprecision/map/todo.html | 17 ++- doc/html/boost_multiprecision/perf.html | 15 ++- .../perf/float_performance.html | 26 +++-- .../perf/int_real_world.html | 25 +++-- .../perf/integer_performance.html | 34 +++--- .../boost_multiprecision/perf/overhead.html | 22 +++- .../perf/rational_performance.html | 26 +++-- .../boost_multiprecision/perf/realworld.html | 26 +++-- doc/html/boost_multiprecision/ref.html | 15 ++- .../boost_multiprecision/ref/backendconc.html | 17 ++- .../boost_multiprecision/ref/cpp_dec_ref.html | 15 ++- .../boost_multiprecision/ref/cpp_int_ref.html | 15 ++- .../boost_multiprecision/ref/gmp_int_ref.html | 15 ++- .../boost_multiprecision/ref/headers.html | 15 ++- .../boost_multiprecision/ref/internals.html | 15 ++- .../boost_multiprecision/ref/mpf_ref.html | 15 ++- .../boost_multiprecision/ref/mpfr_ref.html | 15 ++- doc/html/boost_multiprecision/ref/number.html | 15 ++- .../boost_multiprecision/ref/tom_int_ref.html | 15 ++- doc/html/boost_multiprecision/tut.html | 31 +++++- .../boost_multiprecision/tut/conversions.html | 15 ++- doc/html/boost_multiprecision/tut/floats.html | 17 ++- .../tut/floats/cpp_dec_float.html | 15 ++- .../tut/floats/fp_eg.html | 17 ++- .../tut/floats/fp_eg/aos.html | 17 ++- .../tut/floats/fp_eg/gi.html | 15 ++- .../tut/floats/fp_eg/jel.html | 21 +++- .../tut/floats/fp_eg/nd.html | 17 ++- .../tut/floats/fp_eg/poly_eg.html | 15 ++- .../tut/floats/gmp_float.html | 17 ++- .../tut/floats/mpfr_float.html | 17 ++- doc/html/boost_multiprecision/tut/ints.html | 15 ++- .../tut/ints/cpp_int.html | 15 ++- .../boost_multiprecision/tut/ints/egs.html | 15 ++- .../tut/ints/egs/bitops.html | 15 ++- .../tut/ints/egs/factorials.html | 15 ++- .../tut/ints/gmp_int.html | 15 ++- .../tut/ints/tom_int.html | 15 ++- doc/html/boost_multiprecision/tut/lits.html | 15 ++- doc/html/boost_multiprecision/tut/mixed.html | 21 +++- .../boost_multiprecision/tut/primetest.html | 15 ++- doc/html/boost_multiprecision/tut/random.html | 15 ++- .../boost_multiprecision/tut/rational.html | 15 ++- .../boost_multiprecision/tut/rational/br.html | 15 ++- .../tut/rational/cpp_rational.html | 15 ++- .../tut/rational/gmp_rational.html | 15 ++- .../tut/rational/rational_adapter.html | 15 ++- .../tut/rational/tommath_rational.html | 15 ++- .../boost_multiprecision/tut/rounding.html | 15 ++- doc/html/index.html | 19 +++- doc/multiprecision.qbk | 104 ++++++++++++------ index.html | 15 +++ 63 files changed, 907 insertions(+), 285 deletions(-) create mode 100644 index.html diff --git a/doc/Jamfile.v2 b/doc/Jamfile.v2 index c85688589..237107292 100644 --- a/doc/Jamfile.v2 +++ b/doc/Jamfile.v2 @@ -15,12 +15,12 @@ boostbook standalone big_number : # Path for links to Boost: - #boost.root=http://www.boost.org/doc/libs/release + boost.root=../../../.. # Some general style settings: table.footnote.number.format=1 footnote.number.format=1 - html.stylesheet=http://www.boost.org/doc/libs/release/doc/src/boostbook.css + #html.stylesheet=../../../../doc/src/boostbook.css # HTML options first: # Use graphics not text for navigation: diff --git a/doc/html/boost_multiprecision/indexes.html b/doc/html/boost_multiprecision/indexes.html index 8a9d13ce0..fcabaf60c 100644 --- a/doc/html/boost_multiprecision/indexes.html +++ b/doc/html/boost_multiprecision/indexes.html @@ -2,7 +2,7 @@ Indexes - + @@ -10,8 +10,17 @@ + + + + + + + +
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- The Multiprecision Library provides User-defined integer, - rational and floating-point C++ types which try to emulate as closely as practicable - the C++ built-in types, but provide for more range and precision. Depending - upon the number type, precision may be arbitrarily large (limited only by available - memory), fixed at compile time values, for example 50 decimal digits, or a - variable controlled at run-time by member functions. The types are expression-template-enabled - for better performance than naive user-defined types. + The Multiprecision Library provides integer, + rational and floating-point types in C++ + that have more range and precision than C++'s ordinary built-in types. The + big number types in Multiprecision can be used with a wide selection of basic + mathematical operations, elementary transcendental functions as well as the + functions in Boost.Math. The Multiprecision types can also interoperate with + the built-in types in C++ using clearly defined conversion rules. This allows + boost.Multiprecision to be used for all kinds of mathematical calculations + involving integer, rational and floating-point types requiring extended range + and precision. +

+

+ Multiprecision consists of a generic interface to the mathematics of large + numbers as well as a selection of big number back ends, with support for integer, + rational and floating-point types. Boost.Multiprecision provides a selection + of back ends provided off-the-rack in including interfaces to GMP, MPFR, MPIR, + TomMath as well as its own collection of Boost-licensed, header-only back ends + for integers, rationals and floats. In addition, user-defined back ends can + be created and used with the interface of Multiprecision, provided the class + implementation adheres to the necessary concepts. +

+

+ Depending upon the number type, precision may be arbitrarily large (limited + only by available memory), fixed at compile time (for example 50 or 100 decimal + digits), or a variable controlled at run-time by member functions. The types + are expression-template-enabled for better performance than naive user-defined + types.

The Multiprecision library comes in two distinct parts: @@ -232,7 +261,7 @@

- +
[Important][Important] Important
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@@ -38,7 +47,7 @@ Add assembly level routines to cpp_int_backend.
  • - Add an all C++ binary floating point type. + Add an all C++ Boost licenced binary floating point type.
  • Can ring types (exact floating point types) be supported? The answer @@ -220,7 +229,7 @@
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    - Test code was compiled with Microsoft Visual Studio 2010 with all optimisations - turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0. - The tests were run on 32-bit Windows Vista machine. -

    Table 1.10. Operator +

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    + Test code was compiled with Microsoft Visual Studio 2010 with all optimisations + turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0. + The tests were run on 32-bit Windows Vista machine. +

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    The first set of tests measure the times taken to execute the multiprecision part of the Voronoi-diagram @@ -355,6 +359,11 @@ 5x faster). That's an issue which needs to be addressed in a future release for cpp_int.

    +

    + Test code was compiled with Microsoft Visual Studio 2010 with all optimisations + turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0. + The tests were run on 32-bit Windows Vista machine. +

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    -

    - Linux x86_64 results are broadly similar, except that libtommath performs - much better there. -

    Table 1.30. Operator +

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    + Test code was compiled with Microsoft Visual Studio 2010 with all optimisations + turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0. + The tests were run on 32-bit Windows Vista machine. +

    +

    + Linux x86_64 results are broadly similar, except that libtommath performs + much better there. +

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    - As you can see whether there is an overhead, and how large it is depends + As you can see whether or not there is an overhead, and how large it is depends on the actual situation, but the overhead is in any cases small. Expression templates generally add a greater overhead the more complex the expression becomes due to the logic of figuring out how to best unpack and evaluate @@ -169,6 +178,11 @@ small amount of arithmetic on them, with very little difference in performance between the native and "wrapped" types.

    +

    + The test code was compiled with Microsoft Visual Studio 2010 with all optimisations + turned on (/Ox), and used MPIR-2.3.0 and libtommath-0.42.0. + The tests were run on 32-bit Windows Vista machine. +

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    Table 1.61. Operator +

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    Table 1.8. Bessel Function Performance

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    • Calculating a Derivative
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    Mixed Precision Arithmetic

    - In order to use this library you need to make two choices: what kind of number - do I want, and which back-end do I want to perform the actual arithmetic? + In order to use this library you need to make two choices:

    +
      +
    • + What kind of number do I want (integer, + floating point or + rational. +
      • +
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    - Mixed precision arithmetic is fully supported by the library, there are two - different forms: + Mixed precision arithmetic is fully supported by the library. +

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      @@ -54,7 +63,7 @@
      Area of Circle
      Defining - a Lambda Function.
      + a Special Function.

    Calculating a Derivative
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    - +

    Last revised: November 18, 2012 at 15:59:30 GMT

    Last revised: November 26, 2012 at 16:49:53 GMT
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    diff --git a/doc/multiprecision.qbk b/doc/multiprecision.qbk index 7cf97a166..55810ee31 100644 --- a/doc/multiprecision.qbk +++ b/doc/multiprecision.qbk @@ -61,12 +61,37 @@ [section:intro Introduction] -The Multiprecision Library provides ['User-defined] integer, rational and floating-point C++ types which -try to emulate as closely as practicable the C++ built-in types, but provide for more range and -precision. Depending upon the number type, precision may be arbitrarily large (limited only by available memory), -fixed at compile time values, for example 50 decimal -digits, or a variable controlled at run-time by member functions. The types are -expression-template-enabled for better performance than naive user-defined types. +The Multiprecision Library provides [link boost_multiprecision.tut.ints integer], +[link boost_multiprecision.tut.rational rational] +and [link boost_multiprecision.tut.floats floating-point] types in C++ that have more +range and precision than C++'s ordinary built-in types. +The big number types in Multiprecision can be used with a wide +selection of basic mathematical operations, elementary transcendental +functions as well as the functions in Boost.Math. +The Multiprecision types can also interoperate with the +built-in types in C++ using clearly defined conversion rules. +This allows Boost.Multiprecision to be used for all +kinds of mathematical calculations involving integer, +rational and floating-point types requiring extended +range and precision. + +Multiprecision consists of a generic interface to the +mathematics of large numbers as well as a selection of +big number back ends, with support for integer, rational and +floating-point types. Boost.Multiprecision provides a selection +of back ends provided off-the-rack in including +interfaces to GMP, MPFR, MPIR, TomMath as well as +its own collection of Boost-licensed, header-only back ends for +integers, rationals and floats. In addition, user-defined back ends +can be created and used with the interface of Multiprecision, +provided the class implementation adheres to the necessary +[link boost_multiprecision.ref.backendconc concepts]. + +Depending upon the number type, precision may be arbitrarily large +(limited only by available memory), fixed at compile time +(for example 50 or 100 decimal digits), or a variable controlled at run-time +by member functions. The types are expression-template-enabled for +better performance than naive user-defined types. The Multiprecision library comes in two distinct parts: @@ -338,8 +363,11 @@ with MPFR 3.0 and MPIR 2.3.0. [section:tut Tutorial] -In order to use this library you need to make two choices: what kind of number do I want, and -which back-end do I want to perform the actual arithmetic? +In order to use this library you need to make two choices: + +* What kind of number do I want ([link boost_multiprecision.tut.ints integer], +[link boost_multiprecision.tut.floats floating point] or [link boost_multiprecision.tut.rational rational]). +* Which back-end do I want to perform the actual arithmetic (Boost-supplied, GMP, MPFR, Tommath etc)? [section:ints Integer Types] @@ -822,7 +850,7 @@ as a valid floating point number. [endsect] -[section:jel Defining a Lambda Function.] +[section:jel Defining a Special Function.] [JEL] @@ -1253,7 +1281,9 @@ The following table summarises the situation for conversions from native types: [section:mixed Mixed Precision Arithmetic] -Mixed precision arithmetic is fully supported by the library, there are two different forms: +Mixed precision arithmetic is fully supported by the library. + +There are two different forms: * Where the operands are of different precision. * Where the operands are of the same precision, but yield a higher precision result. @@ -2683,7 +2713,7 @@ inside class `number`: [[`number, et_on>`] [1.2 (0.019s)] [1.7 (0.79s)]] ] -As you can see whether there is an overhead, and how large it is depends on the actual situation, +As you can see whether or not there is an overhead, and how large it is depends on the actual situation, but the overhead is in any cases small. Expression templates generally add a greater overhead the more complex the expression becomes due to the logic of figuring out how to best unpack and evaluate the expression, but of course this is also the situation where you save more temporaries. For a @@ -2702,6 +2732,10 @@ for the [@../../performance/voronoi_perfromance.cpp voronoi-diagram builder test This test involves mainly creating a lot of temporaries and performing a small amount of arithmetic on them, with very little difference in performance between the native and "wrapped" types. +The test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [tommath]-0.42.0. The tests were run on 32-bit +Windows Vista machine. + [endsect] [section:realworld Floating Point Real World Tests] @@ -2712,10 +2746,6 @@ given in brackets. The first three libraries listed are the various floating po by this library, while for comparison, two popular C++ front-ends to [mpfr] ([mpfr_class] and [mpreal]) are also shown. -Test code was compiled with Microsoft Visual Studio 2010 with all optimisations -turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit -Windows Vista machine. - [table Bessel Function Performance [[Library][50 Decimal Digits][100 Decimal Digits]] [[mpfr_float] [1.2 (5.78s)] [1.2 (9.56s)]] @@ -2736,14 +2766,14 @@ Windows Vista machine. [[[mpreal]] [2.0 (388.70s)]] ] +Test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit +Windows Vista machine. + [endsect] [section:int_real_world Integer Real World Tests] -Test code was compiled with Microsoft Visual Studio 2010 with all optimisations -turned on (/Ox), and used MPIR-2.3.0 and [tommath]-0.42.0. The tests were run on 32-bit -Windows Vista machine. - The first set of [@../../performance/voronoi_performance.cpp tests] measure the times taken to execute the multiprecision part of the Voronoi-diagram builder from Boost.Polygon. The tests mainly create a large number of temporaries "just in case" multiprecision arithmetic is required, @@ -2793,6 +2823,10 @@ altogether - cutting about a third off the total runtime. Finally the much quic much better modular-exponentiation algorithms (GMP's is about 5x faster). That's an issue which needs to be addressed in a future release for __cpp_int. +Test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit +Windows Vista machine. + [endsect] [section:float_performance Float Algorithm Perfomance] @@ -2804,10 +2838,6 @@ specifics of the program. In each table relative times are given first, with th given a score of 1. Total actual times are given in brackets, measured in seconds for 500000 operations. -Test code was compiled with Microsoft Visual Studio 2010 with all optimisations -turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit -Windows Vista machine. - [table Operator + [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_dec_float][[*1] (0.0575156s)][[*1] (0.0740086s)][[*1] (0.219073s)]] @@ -2929,6 +2959,10 @@ Windows Vista machine. [[mpfr_float][1.25424 (0.00945658s)][1.24943 (0.012541s)][1.09428 (0.0481601s)]] ] +Test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit +Windows Vista machine. + [endsect] [section:integer_performance Integer Algorithm Perfomance] @@ -2940,12 +2974,6 @@ specifics of the program. In each table relative times are given first, with th given a score of 1. Total actual times are given in brackets, measured in seconds for 500000 operations. -Test code was compiled with Microsoft Visual Studio 2010 with all optimisations -turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit -Windows Vista machine. - -Linux x86_64 results are broadly similar, except that libtommath performs much better there. - [table Operator + [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_int][1.22306 (0.0279933s)][1.15878 (0.038341s)][1.24006 (0.0562258s)][1.32055 (0.0925091s)]] @@ -3164,6 +3192,12 @@ Linux x86_64 results are broadly similar, except that libtommath performs much b [[tommath_int][10.5766 (0.233779s)][9.0959 (0.27609s)][8.6249 (0.29666s)][13.6818 (0.515498s)]] ] +Test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit +Windows Vista machine. + +Linux x86_64 results are broadly similar, except that libtommath performs much better there. + [endsect] [section:rational_performance Rational Type Perfomance] @@ -3175,10 +3209,6 @@ specifics of the program. In each table relative times are given first, with th given a score of 1. Total actual times are given in brackets, measured in seconds for 500000 operations. -Test code was compiled with Microsoft Visual Studio 2010 with all optimisations -turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit -Windows Vista machine. - [table Operator + [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][5.89417 (18.4116s)][6.87256 (47.4698s)][6.65008 (107.715s)][6.53801 (256.244s)]] @@ -3280,6 +3310,10 @@ Windows Vista machine. [[mpq_rational][[*1] (0.0038067s)][[*1] (0.00643413s)][[*1] (0.0120606s)][[*1] (0.0294843s)]] ] +Test code was compiled with Microsoft Visual Studio 2010 with all optimisations +turned on (/Ox), and used MPIR-2.3.0 and [mpfr]-3.0.0. The tests were run on 32-bit +Windows Vista machine. + [endsect] [endsect] @@ -3330,7 +3364,7 @@ More a list of what ['could] be done, rather than what ['should] be done (which * Add a back-end for MPFR interval arithmetic. * Add better multiplication routines (Karatsuba, FFT etc) to cpp_int_backend. * Add assembly level routines to cpp_int_backend. -* Add an all C++ binary floating point type. +* Add an all C++ Boost licenced binary floating point type. * Can ring types (exact floating point types) be supported? The answer should be yes, but someone needs to write it, the hard part is IO and binary-decimal convertion. * Should there be a choice of rounding mode (probably MPFR specific)? @@ -3462,7 +3496,7 @@ Donald E. Knuth, Volume 2: Seminumerical Algorithms, Third Edition [section:indexes Indexes] -[include ../../../../../trunk/tools/auto_index/include/auto_index_helpers.qbk] +[include ../../../tools/auto_index/include/auto_index_helpers.qbk] [named_index function_name Function Index] [named_index class_name Class Index] [named_index typedef_name Typedef Index] diff --git a/index.html b/index.html new file mode 100644 index 000000000..df7430bd0 --- /dev/null +++ b/index.html @@ -0,0 +1,15 @@ + + + + + +

    + Automatic redirection failed, please go to doc/html/index.html. +

    +

    Copyright John Maddock 2001

    +

    Distributed under the Boost Software License, Version 1.0. (See accompanying file + LICENSE_1_0.txt or copy at www.boost.org/LICENSE_1_0.txt).

    + + + +