diff --git a/doc/html/boost_multiprecision/indexes.html b/doc/html/boost_multiprecision/indexes.html index 91d890816..da53f43e5 100644 --- a/doc/html/boost_multiprecision/indexes.html +++ b/doc/html/boost_multiprecision/indexes.html @@ -3,7 +3,7 @@ Indexes - + @@ -34,8 +34,9 @@
Index
-
Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

+

Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

diff --git a/doc/html/boost_multiprecision/indexes/s01.html b/doc/html/boost_multiprecision/indexes/s01.html index 6c83749f3..551d5b4f4 100644 --- a/doc/html/boost_multiprecision/indexes/s01.html +++ b/doc/html/boost_multiprecision/indexes/s01.html @@ -3,7 +3,7 @@ Function Index - + @@ -25,7 +25,7 @@

-Function Index

+Function Index

A B C D E F G H I L M N O P R S T V X Z

@@ -77,8 +77,8 @@
  • -

    assign_components

    -
    +

    atan2

    +

  • atanh

    @@ -228,6 +228,10 @@

  • number

    • +
  • +

    down

    +
    +
    • E @@ -256,26 +260,7 @@
  • -

    eval_acos

    -
    -
    • -

  • eval_add

    -
    -
    • -
  • -

    eval_asin

    -
    -
    • -
  • -

    eval_atan

    -
    -
    • -
  • -

    eval_atan2

  • @@ -284,98 +269,21 @@

  • eval_bitwise_or

    -
    -
    • -
  • -

    eval_bitwise_xor

    -
    -
    • -
  • -

    eval_bit_flip

  • -

    eval_bit_set

    -
    -
    • -
  • -

    eval_bit_test

    -
    -
    • -
  • -

    eval_bit_unset

    -
    -
    • -
  • -

    eval_ceil

    -
    -
    • -
  • -

    eval_complement

    -
    -
    • -
  • -

    eval_conj

    -
    -
    • -
  • -

    eval_convert_to

    -
    -
    • -
  • -

    eval_cos

    -
    -
    • -
  • -

    eval_cosh

    -
    -
    • -
  • -

    eval_decrement

    +

    eval_bitwise_xor

  • eval_divide

    -
    -
    • -
  • -

    eval_eq

  • -

    eval_exp

    -
    -
    • -
  • -

    eval_exp2

    -
    -
    • -
  • -

    eval_fabs

    -
    -
    • -
  • -

    eval_floor

    -
    -
    • -
  • -

    eval_fmod

    +

    eval_eq

  • -

    eval_frexp

    -
    -
    • -

  • eval_gcd

    • @@ -388,53 +296,18 @@
  • -

    eval_imag

    -
    -
    • -

  • eval_increment

  • -

    eval_integer_sqrt

    -
    -
    • -
  • -

    eval_is_zero

    -
    -
    • -

  • eval_lcm

  • -

    eval_ldexp

    -
    -
    • -
  • -

    eval_left_shift

    -
    -
    • -
  • -

    eval_log

    -
    -
    • -
  • -

    eval_log10

    -
    -
    • -

  • eval_lt

  • -

    eval_modf

    -
    -
    • -

  • eval_modulus

  • -

    eval_msb

    -
    -
    • -

  • eval_multiply

    -
    +

  • eval_multiply_add

    @@ -465,33 +331,6 @@
  • -

    eval_pow

    -
    -
    • -
  • -

    eval_powm

    -
    -
    • -
  • -

    eval_proj

    -
    -
    • -
  • -

    eval_qr

    -
    -
    • -
  • -

    eval_real

    -
    -
    • -
  • -

    eval_right_shift

    -
    -
    • -

  • eval_round

    • @@ -500,42 +339,7 @@
  • -

    eval_set_imag

    -
    -
    • -
  • -

    eval_set_real

    -
    -
    • -
  • -

    eval_sin

    -
    -
    • -
  • -

    eval_sinh

    -
    -
    • -
  • -

    eval_sqrt

    -
    -
    • -

  • eval_subtract

    -
    -
    • -
  • -

    eval_tan

    -
    -
    • -
  • -

    eval_tanh

    -
    -
    • -
  • -

    eval_trunc

  • @@ -728,6 +532,18 @@
  • +

    log

    +
    +
    • +

  • log1p

    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/indexes/s02.html b/doc/html/boost_multiprecision/indexes/s02.html index 9c0c6082b..64786e4df 100644 --- a/doc/html/boost_multiprecision/indexes/s02.html +++ b/doc/html/boost_multiprecision/indexes/s02.html @@ -3,7 +3,7 @@ Class Index - + @@ -25,7 +25,7 @@

    -Class Index

    +Class Index

    C D E F G I L M N R T

    @@ -50,13 +50,7 @@

  • Forward Declarations

    • -
  • -

    cpp_dec_float

    -
    -
    • +

  • cpp_double_fp_backend

  • cpp_int_backend

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/indexes/s03.html b/doc/html/boost_multiprecision/indexes/s03.html index 296114be6..40c7acfcf 100644 --- a/doc/html/boost_multiprecision/indexes/s03.html +++ b/doc/html/boost_multiprecision/indexes/s03.html @@ -3,7 +3,7 @@ Typedef Index - + @@ -25,12 +25,13 @@

    -Typedef Index

    +Typedef Index

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/indexes/s04.html b/doc/html/boost_multiprecision/indexes/s04.html index 5f11954b0..d06e365aa 100644 --- a/doc/html/boost_multiprecision/indexes/s04.html +++ b/doc/html/boost_multiprecision/indexes/s04.html @@ -3,7 +3,7 @@ Index - + @@ -24,7 +24,7 @@

    -Index

    +Index

    A B C D E F G H I L M N O P R S T V X Z

    @@ -76,8 +76,8 @@
  • -

    assign_components

    -
    +

    atan2

    +

  • atanh

    @@ -242,30 +242,7 @@

  • Compulsory Requirements on the Backend type.

    -
    +

  • conj

    @@ -299,17 +276,18 @@

  • cpp_bin_float

  • Forward Declarations

  • History

    • +

  • log

  • value

  • cpp_dec_float

    • +

  • cpp_double_fp_backend

  • cpp_int

    @@ -358,10 +336,10 @@
  • -

    Defining a Special Function.

    +

    Defining a Special Function

  • @@ -384,6 +362,10 @@

  • number

    • +
  • +

    down

    +
    +
    • E @@ -412,26 +394,7 @@
  • -

    eval_acos

    -
    -
    • -

  • eval_add

    -
    -
    • -
  • -

    eval_asin

    -
    -
    • -
  • -

    eval_atan

    -
    -
    • -
  • -

    eval_atan2

  • @@ -440,98 +403,21 @@

  • eval_bitwise_or

    -
    -
    • -
  • -

    eval_bitwise_xor

    -
    -
    • -
  • -

    eval_bit_flip

    -
    -
    • -
  • -

    eval_bit_set

    -
    -
    • -
  • -

    eval_bit_test

    -
    -
    • -
  • -

    eval_bit_unset

    -
    -
    • -
  • -

    eval_ceil

    -
    -
    • -
  • -

    eval_complement

    -
    -
    • -
  • -

    eval_conj

    -
    -
    • -
  • -

    eval_convert_to

    -
    -
    • -
  • -

    eval_cos

    -
    -
    • -
  • -

    eval_cosh

  • -

    eval_decrement

    +

    eval_bitwise_xor

  • eval_divide

    -
    -
    • -
  • -

    eval_eq

    -
    -
    • -
  • -

    eval_exp

  • -

    eval_exp2

    -
    -
    • -
  • -

    eval_fabs

    -
    -
    • -
  • -

    eval_floor

    -
    -
    • -
  • -

    eval_fmod

    +

    eval_eq

  • -

    eval_frexp

    -
    -
    • -

  • eval_gcd

    • @@ -544,53 +430,18 @@
  • -

    eval_imag

    -
    -
    • -

  • eval_increment

  • -

    eval_integer_sqrt

    -
    -
    • -
  • -

    eval_is_zero

    -
    -
    • -

  • eval_lcm

  • -

    eval_ldexp

    -
    -
    • -
  • -

    eval_left_shift

    -
    -
    • -
  • -

    eval_log

    -
    -
    • -
  • -

    eval_log10

    -
    -
    • -

  • eval_lt

  • -

    eval_modf

    -
    -
    • -

  • eval_modulus

  • -

    eval_msb

    -
    -
    • -

  • eval_multiply

    -
    +

  • eval_multiply_add

    @@ -621,33 +465,6 @@
  • -

    eval_pow

    -
    -
    • -
  • -

    eval_powm

    -
    -
    • -
  • -

    eval_proj

    -
    -
    • -
  • -

    eval_qr

    -
    -
    • -
  • -

    eval_real

    -
    -
    • -
  • -

    eval_right_shift

    -
    -
    • -

  • eval_round

    • @@ -656,42 +473,7 @@
  • -

    eval_set_imag

    -
    -
    • -
  • -

    eval_set_real

    -
    -
    • -
  • -

    eval_sin

    -
    -
    • -
  • -

    eval_sinh

    -
    -
    • -
  • -

    eval_sqrt

    -
    -
    • -

  • eval_subtract

    -
    -
    • -
  • -

    eval_tan

    -
    -
    • -
  • -

    eval_tanh

    -
    -
    • -
  • -

    eval_trunc

  • @@ -746,6 +528,7 @@

  • BOOST_MP_USE_QUAD

  • data

  • float128_backend

    • +

  • log

  • of

  • type

    • @@ -770,7 +553,6 @@
    @@ -1083,6 +866,18 @@
  • +

    log

    +
    +
    • +

  • log1p

    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/intro.html b/doc/html/boost_multiprecision/intro.html index c5e14850a..63ef1765a 100644 --- a/doc/html/boost_multiprecision/intro.html +++ b/doc/html/boost_multiprecision/intro.html @@ -3,7 +3,7 @@ Introduction - + @@ -90,7 +90,7 @@
    bigger and more precise reals as simply and portably as possible, close to 'drop-in' replacements for the fundamental (built-in) type analogs, then use a fully Boost-licensed number type, - and skip to one of more of : + and skip to one or more of:

    • @@ -193,8 +193,8 @@
      However conversions that are inherently lossy are either declared explicit or else forbidden altogether:

      -
      d = 3.14;  // Error implicit conversion from double not allowed.
-d = static_cast<mp::int512_t>(3.14);  // OK explicit construction is allowed
+
      d = 3.14;  // Error, implicit conversion from double not allowed.
+d = static_cast<mp::int512_t>(3.14);  // OK, explicit construction is allowed
 
      
 
      
       Mixed arithmetic will fail if the conversion is either ambiguous or explicit:
@@ -278,10 +278,10 @@ 
      
     
      
 
      
       The great advantage of this method is the elimination of temporaries:
-      for example, the "naive" implementation of operator* above, requires one temporary for computing
+      for example, the "naive" implementation of operator* above requires one temporary for computing
       the result, and at least another one to return it. It's true that sometimes
       this overhead can be reduced by using move-semantics, but it can't be eliminated
-      completely. For example, lets suppose we're evaluating a polynomial via Horner's
+      completely. For example, let's suppose we're evaluating a polynomial via Horner's
       method, something like this:
     
      
 
      T a[7] = { /* some values */ };
@@ -297,12 +297,12 @@ 
      
       use expression templates to reduce the number of temporaries somewhat). Had
       we used an even simpler wrapper around MPFR
       like mpreal things
-      would have been even worse and no less that 24 temporaries are created for
+      would have been even worse and no less than 24 temporaries are created for
       this simple expression (note - we actually measure the number of memory allocations
       performed rather than the number of temporaries directly, note also that the
       mpf_class
-      wrapper that will be supplied with GMP-5.1 reduces the number of temporaries
-      to pretty much zero). Note that if we compile with expression templates disabled
+      wrapper supplied with GMP-5.1 or later reduces the number of temporaries to
+      pretty much zero). Note that if we compile with expression templates disabled
       and rvalue-reference support on, then actually still have no wasted memory
       allocations as even though temporaries are created, their contents are moved
       rather than copied. [1]
@@ -362,7 +362,7 @@ 
      
 
      
       Given the comments above, you might be forgiven for thinking that expression-templates
       are some kind of universal-panacea: sadly though, all tricks like this have
-      their downsides. For one thing, expression template libraries like this one,
+      their downsides. For one thing, expression template libraries like this one
       tend to be slower to compile than their simpler cousins, they're also harder
       to debug (should you actually want to step through our code!), and rely on
       compiler optimizations being turned on to give really good performance. Also,
@@ -375,12 +375,12 @@ 
      
 void my_proc(const T&);
 
      
 
      
-      Then calling:
+      Then calling
     
      
 
      my_proc(a+b);
 
      
 
      
-      Will very likely result in obscure error messages inside the body of my_proc - since we've passed it an expression
+      will very likely result in obscure error messages inside the body of my_proc - since we've passed it an expression
       template type, and not a number type. Instead we probably need:
     
      
 
      my_proc(my_number_type(a+b));
@@ -389,13 +389,13 @@ 
      
       Having said that, these situations don't occur that often - or indeed not at
       all for non-template functions. In addition, all the functions in the Boost.Math
       library will automatically convert expression-template arguments to the underlying
-      number type without you having to do anything, so:
+      number type without you having to do anything, so
     
      
 
      mpfr_float_100 a(20), delta(0.125);
 boost::math::gamma_p(a, a + delta);
 
      
 
      
-      Will work just fine, with the a + delta expression
+      will work just fine, with the a + delta expression
       template argument getting converted to an mpfr_float_100
       internally by the Boost.Math library.
     
      
@@ -469,7 +469,7 @@ 
      
             
 
               
      
-                Relative number of memory allocations
+                Relative Number of Memory Allocations
               
      
             
 
@@ -541,8 +541,8 @@ 
      
           The cost of an in-place multiplication (using operator*=) tends to be more than an out-of-place
           operator*
           (typically operator *=
-          has to create a temporary workspace to carry out the multiplication, where
-          as operator*
+          has to create a temporary workspace to carry out the multiplication, whereas
+          operator*
           can use the target variable as workspace). Since the expression templates
           carry out their magic by converting out-of-place operators to in-place
           ones, we necessarily take this hit. Even so the transformation is more
@@ -552,7 +552,7 @@

    Finally, note that number takes - a second template argument, which, when set to et_off + a second template argument, which, when set to et_off, disables all the expression template machinery. The result is much faster to compile, but slower at runtime.

    @@ -771,8 +771,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/map.html b/doc/html/boost_multiprecision/map.html index a1574ba77..3050ee34a 100644 --- a/doc/html/boost_multiprecision/map.html +++ b/doc/html/boost_multiprecision/map.html @@ -3,7 +3,7 @@ Roadmap - + @@ -34,8 +34,9 @@
    Acknowledgements
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/map/ack.html b/doc/html/boost_multiprecision/map/ack.html index 01c8c94c2..f1bcd8d0e 100644 --- a/doc/html/boost_multiprecision/map/ack.html +++ b/doc/html/boost_multiprecision/map/ack.html @@ -3,7 +3,7 @@ Acknowledgements - + @@ -49,8 +49,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/map/faq.html b/doc/html/boost_multiprecision/map/faq.html index 0b883bbc7..ec269c032 100644 --- a/doc/html/boost_multiprecision/map/faq.html +++ b/doc/html/boost_multiprecision/map/faq.html @@ -3,7 +3,7 @@ FAQ - + @@ -136,8 +136,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/map/hist.html b/doc/html/boost_multiprecision/map/hist.html index 733f0401d..bb28c4cdb 100644 --- a/doc/html/boost_multiprecision/map/hist.html +++ b/doc/html/boost_multiprecision/map/hist.html @@ -3,7 +3,7 @@ History - + @@ -1201,8 +1201,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/map/todo.html b/doc/html/boost_multiprecision/map/todo.html index ef0643b21..3172ab5c6 100644 --- a/doc/html/boost_multiprecision/map/todo.html +++ b/doc/html/boost_multiprecision/map/todo.html @@ -3,7 +3,7 @@ TODO - + @@ -214,8 +214,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf.html b/doc/html/boost_multiprecision/perf.html index db7c7d5f7..89447a465 100644 --- a/doc/html/boost_multiprecision/perf.html +++ b/doc/html/boost_multiprecision/perf.html @@ -3,7 +3,7 @@ Performance Comparison - + @@ -65,7 +65,7 @@

    The backends which effectively wrap GMP/MPIR and MPFR retain the superior performance of the low-level big-number engines. When these are used (in association with - at least some level of optmization) they achieve and retain the expected low-level + at least some level of optimization) they achieve and retain the expected low-level performances.

    @@ -82,7 +82,7 @@ increases, and simultaneously increases beyond (in relation to) the performances of the Boost-licensed, self-written backends. At around a few hundred to several thousands of digits, factors of about two through five are observed, whereby - GMP/MPIR-based calculations are (performance-wise) supreior ones. + GMP/MPIR-based calculations are (performance-wise) superior ones.

    At a few thousand decimal digits, the upper end of the Boost backends is reached. @@ -94,8 +94,9 @@ and MPRF based backends.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/float_performance.html b/doc/html/boost_multiprecision/perf/float_performance.html index 9b49e62b7..fc09b7835 100644 --- a/doc/html/boost_multiprecision/perf/float_performance.html +++ b/doc/html/boost_multiprecision/perf/float_performance.html @@ -3,7 +3,7 @@ Float Algorithm Performance - + @@ -2579,8 +2579,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/int_real_world.html b/doc/html/boost_multiprecision/perf/int_real_world.html index 489a0bb17..6f325ebeb 100644 --- a/doc/html/boost_multiprecision/perf/int_real_world.html +++ b/doc/html/boost_multiprecision/perf/int_real_world.html @@ -3,7 +3,7 @@ Integer Real World Tests - + @@ -62,7 +62,7 @@

    - 1.53714(0.0415328s) + 1.53714 (0.0415328s)

    @@ -74,7 +74,7 @@

    - 1.20715(0.0326167s) + 1.20715 (0.0326167s)

    @@ -86,7 +86,7 @@

    - 1.2587(0.0340095s) + 1.2587 (0.0340095s)

    @@ -98,7 +98,7 @@

    - 1.80575(0.0487904s) + 1.80575 (0.0487904s)

    @@ -110,7 +110,7 @@

    - 1.35652(0.0366527s) + 1.35652 (0.0366527s)

    @@ -122,7 +122,7 @@

    - 1.36237(0.0368107s) + 1.36237 (0.0368107s)

    @@ -134,7 +134,7 @@

    - 1(0.0270196s) + 1 (0.0270196s)

    @@ -146,7 +146,7 @@

    - 1.0779(0.0291243s) + 1.0779 (0.0291243s)

    @@ -158,7 +158,7 @@

    - 3.83495(0.103619s) + 3.83495 (0.103619s)

    @@ -170,7 +170,7 @@

    - 41.6378(1.12504s) + 41.6378 (1.12504s)

    @@ -211,7 +211,7 @@

    - 9.52301(0.0422246s) + 9.52301 (0.0422246s)

    @@ -223,7 +223,7 @@

    - 11.2194(0.0497465s) + 11.2194 (0.0497465s)

    @@ -235,7 +235,7 @@

    - 10.7941(0.0478607s) + 10.7941 (0.0478607s)

    @@ -247,7 +247,7 @@

    - 11.0637(0.0490558s) + 11.0637 (0.0490558s)

    @@ -259,7 +259,7 @@

    - 11.5069(0.0510209s) + 11.5069 (0.0510209s)

    @@ -271,7 +271,7 @@

    - 10.3303(0.0458041s) + 10.3303 (0.0458041s)

    @@ -283,7 +283,7 @@

    - 16.1792(0.0717379s) + 16.1792 (0.0717379s)

    @@ -295,7 +295,7 @@

    - 1.05106(0.00466034s) + 1.05106 (0.00466034s)

    @@ -307,7 +307,7 @@

    - 1(0.00443395s) + 1 (0.00443395s)

    @@ -319,7 +319,7 @@

    - 5.10595(0.0226395s) + 5.10595 (0.0226395s)

    @@ -331,7 +331,7 @@

    - 61.9684(0.274765s) + 61.9684 (0.274765s)

    @@ -343,7 +343,7 @@

    - 9.32113(0.0413295s) + 9.32113 (0.0413295s)

    @@ -439,8 +439,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/integer_performance.html b/doc/html/boost_multiprecision/perf/integer_performance.html index 111302921..70297051e 100644 --- a/doc/html/boost_multiprecision/perf/integer_performance.html +++ b/doc/html/boost_multiprecision/perf/integer_performance.html @@ -3,7 +3,7 @@ Integer Algorithm Performance - + @@ -7615,8 +7615,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/overhead.html b/doc/html/boost_multiprecision/perf/overhead.html index 15437d021..bcb6ba886 100644 --- a/doc/html/boost_multiprecision/perf/overhead.html +++ b/doc/html/boost_multiprecision/perf/overhead.html @@ -3,7 +3,7 @@ The Overhead in the Number Class Wrapper - + @@ -137,7 +137,7 @@

    - 1.0(0.0128646s) + 1.0 (0.0128646s)

    @@ -243,8 +243,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/rational_performance.html b/doc/html/boost_multiprecision/perf/rational_performance.html index 08965eb4b..ea5bc0e24 100644 --- a/doc/html/boost_multiprecision/perf/rational_performance.html +++ b/doc/html/boost_multiprecision/perf/rational_performance.html @@ -3,7 +3,7 @@ Rational Type Performance - + @@ -2779,8 +2779,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/rational_real_world.html b/doc/html/boost_multiprecision/perf/rational_real_world.html index 8599d280b..8f09f0764 100644 --- a/doc/html/boost_multiprecision/perf/rational_real_world.html +++ b/doc/html/boost_multiprecision/perf/rational_real_world.html @@ -3,7 +3,7 @@ Rational Real World Tests - + @@ -905,9 +905,9 @@

    - In this use case, most the of the rational numbers are fairly small and so - the times taken are dominated by the number of allocations performed. The - following table illustrates how well each type performs on suppressing allocations: + In this use case, most of the rational numbers are fairly small and so the + times taken are dominated by the number of allocations performed. The following + table illustrates how well each type performs on suppressing allocations:

    Table 1.19. Total Allocation Counts for Bernoulli Number Calculation

    @@ -3400,8 +3400,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/perf/realworld.html b/doc/html/boost_multiprecision/perf/realworld.html index c896b7735..0754364cc 100644 --- a/doc/html/boost_multiprecision/perf/realworld.html +++ b/doc/html/boost_multiprecision/perf/realworld.html @@ -3,7 +3,7 @@ Floating-Point Real World Tests - + @@ -166,7 +166,7 @@

    - mpf_float_50 (no expression templates + mpf_float_50 (no expression templates)

    @@ -183,7 +183,7 @@

    - mpf_float_50 (no expression templates (3 concurrent threads) + mpf_float_50 (no expression templates) (3 concurrent threads)

    @@ -234,7 +234,7 @@

    - mpfr_float_50 (no expression templates + mpfr_float_50 (no expression templates)

    @@ -251,7 +251,7 @@

    - mpfr_float_50 (no expression templates (3 concurrent threads) + mpfr_float_50 (no expression templates) (3 concurrent threads)

    @@ -433,7 +433,7 @@

    - mpf_float_50 (no expression templates + mpf_float_50 (no expression templates)

    @@ -467,7 +467,7 @@

    - mpfr_float_50 (no expression templates + mpfr_float_50 (no expression templates)

    @@ -583,8 +583,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref.html b/doc/html/boost_multiprecision/ref.html index 570d3a28d..c48c01761 100644 --- a/doc/html/boost_multiprecision/ref.html +++ b/doc/html/boost_multiprecision/ref.html @@ -3,7 +3,7 @@ Reference - + @@ -36,14 +36,16 @@
    mpfr_float_backend
    cpp_bin_float
    cpp_dec_float
    +
    cpp_double_fp_backend
    Internal Support Code
    Backend Requirements
    Header File Structure
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/backendconc.html b/doc/html/boost_multiprecision/ref/backendconc.html index 8f911426e..b427d8d9c 100644 --- a/doc/html/boost_multiprecision/ref/backendconc.html +++ b/doc/html/boost_multiprecision/ref/backendconc.html @@ -3,7 +3,7 @@ Backend Requirements - + @@ -46,7 +46,7 @@ In the following tables, type B is the Backend template argument to number, b and b2 - are a variables of type B, pb + are variables of type B, pb is a variable of type B*, cb, cb2 and cb3 are constant variables of type const @@ -271,7 +271,7 @@

    Assignment from an Arithmetic type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types.

    @@ -344,9 +344,9 @@ Returns the string representation of b with ss digits and formatted according to the flags set in ff. - If ss is zero, - then returns as many digits as are required to reconstruct the - original value. + If ss is zero and + std::ios_base::fixed is not set in ff, then returns as many digits + as are required to reconstruct the original value.

    @@ -426,7 +426,7 @@ > a     and zero if cb == a. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types.

    @@ -724,7 +724,7 @@

    Converts cb to the type of *pa - and store the result in *pa. Type B + and stores the result in *pa. Type B shall support conversion to at least types std::intmax_t, std::uintmax_t and long long. Conversion to other @@ -938,8 +938,8 @@

    - N is one of the - values number_kind_integer, + N is the value + number_kind_integer, number_kind_floating_point, number_kind_complex, number_kind_rational @@ -1210,8 +1210,7 @@

    - Direct construction from an arithmetic type. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Direct construction from an arithmetic type. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, this operation is simulated using default-construction followed by assignment. @@ -1373,7 +1372,7 @@

    Returns true if cb and a are equal in value. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, return the equivalent of eval_eq(cb, B(a)).

    @@ -1400,7 +1399,7 @@

    Returns true if cb and a are equal in value. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version returns eval_eq(cb, a).

    @@ -1450,8 +1449,7 @@

    - Returns true if cb is less than a in value. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Returns true if cb is less than a in value. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default implementation returns eval_lt(cb, B(a)).

    @@ -1476,8 +1474,7 @@

    - Returns true if a is less than cb in value. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Returns true if a is less than cb in value. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default implementation returns eval_gt(cb, a).

    @@ -1527,8 +1524,7 @@

    - Returns true if cb is greater than a in value. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Returns true if cb is greater than a in value. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default implementation returns eval_gt(cb, B(a)).

    @@ -1553,8 +1549,7 @@

    - Returns true if a is greater than cb in value. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Returns true if a is greater than cb in value. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default implementation returns eval_lt(cb, a).

    @@ -1643,8 +1638,7 @@

    - Adds a to b. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Adds a to b. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_add(b, B(a))

    @@ -1670,7 +1664,7 @@

    - Add cb to cb2 and stores the result in + Adds cb to cb2 and stores the result in b. When not provided, does the equivalent of b = cb; eval_add(b, cb2). @@ -1697,8 +1691,7 @@

    - Add cb to a and stores the result in b. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Adds cb to a and stores the result in b. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_add(b, cb, B(a)).

    @@ -1724,11 +1717,11 @@

    - Add a to cb and stores the result in + Adds a to cb and stores the result in b. The type of a shall be listed - in one of the type lists B::signed_types, - B::unsigned_types or B::float_types. When not provided, + in B::signed_types, B::unsigned_types + or B::float_types. When not provided, does the equivalent of eval_add(b, cb, a).

    @@ -1755,8 +1748,8 @@ Subtracts a from b. The type of a shall be listed - in one of the type lists B::signed_types, - B::unsigned_types or B::float_types. When not provided, + in B::signed_types, B::unsigned_types + or B::float_types. When not provided, the default version calls eval_subtract(b, B(a))

    @@ -1813,7 +1806,7 @@ cb and stores the result in b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_subtract(b, cb, B(a)).

    @@ -1843,7 +1836,7 @@ a and stores the result in b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_subtract(b, cb, a); b.negate();.

    @@ -1871,8 +1864,8 @@ Multiplies b by a. The type of a shall be listed - in one of the type lists B::signed_types, - B::unsigned_types or B::float_types. When not provided, + in B::signed_types, B::unsigned_types + or B::float_types. When not provided, the default version calls eval_multiply(b, B(a))

    @@ -1929,7 +1922,7 @@ a and stores the result in b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_multiply(b, cb, B(a)).

    @@ -1959,7 +1952,7 @@ cb and stores the result in b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_multiply(b, cb, a).

    @@ -2013,7 +2006,7 @@ cb and adds the result to b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided does the equivalent of creating a temporary B t and eval_multiply(t, cb, a) followed by eval_add(b, t). @@ -2042,7 +2035,7 @@ cb and adds the result to b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided does the equivalent of eval_multiply_add(b, cb, a).

    @@ -2097,7 +2090,7 @@ cb and subtracts the result from b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided does the equivalent of creating a temporary B t and eval_multiply(t, cb, a) followed by eval_subtract(b, t). @@ -2126,7 +2119,7 @@ cb and subtracts the result from b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided does the equivalent of eval_multiply_subtract(b, cb, a).

    @@ -2158,7 +2151,7 @@ all arguments of type B is shown here, but you can replace up to any 2 of cb, cb2 and cb3 with any - type listed in one of the type lists B::signed_types, + type listed in B::signed_types, B::unsigned_types or B::float_types.

    @@ -2189,7 +2182,7 @@ all arguments of type B is shown here, but you can replace up to any 2 of cb, cb2 and cb3 with any - type listed in one of the type lists B::signed_types, + type listed in B::signed_types, B::unsigned_types or B::float_types.

    @@ -2213,8 +2206,7 @@

    - Divides b by a. The type of a shall be listed in one of the - type lists B::signed_types, B::unsigned_types + Divides b by a. The type of a shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_divide(b, B(a))

    @@ -2277,7 +2269,7 @@ a and stores the result in b. The type of a shall - be listed in one of the type lists B::signed_types, + be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_divide(b, cb, B(a)).

    @@ -2308,8 +2300,8 @@ Divides a by cb and stores the result in b. The type of a shall be listed - in one of the type lists B::signed_types, - B::unsigned_types or B::float_types. When not provided, + in B::signed_types, B::unsigned_types + or B::float_types. When not provided, does the equivalent of eval_divide(b, B(a), cb).

    @@ -2402,7 +2394,7 @@ cb, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_modulus(b, B(a))

    @@ -2462,7 +2454,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_modulus(b, cb, B(a)).

    @@ -2493,7 +2485,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_modulus(b, B(a), cb).

    @@ -2521,7 +2513,7 @@ cb, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_bitwise_and(b, B(a))

    @@ -2577,7 +2569,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_and(b, cb, B(a)).

    @@ -2606,7 +2598,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_and(b, cb, a).

    @@ -2634,7 +2626,7 @@ cb, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_bitwise_or(b, B(a))

    @@ -2690,7 +2682,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_or(b, cb, B(a)).

    @@ -2719,7 +2711,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_or(b, cb, a).

    @@ -2747,7 +2739,7 @@ cb, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, the default version calls eval_bitwise_xor(b, B(a))

    @@ -2803,7 +2795,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_xor(b, cb, B(a)).

    @@ -2832,7 +2824,7 @@ in b, only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. When not provided, does the equivalent of eval_bitwise_xor(b, cb, a).

    @@ -3189,7 +3181,7 @@ and cb2. Only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. The default version of this function calls eval_gcd(b, cb, B(a)).

    @@ -3220,7 +3212,7 @@ and cb2. Only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. The default version of this function calls eval_lcm(b, cb, B(a)).

    @@ -3251,7 +3243,7 @@ and a. Only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. The default version of this function calls eval_gcd(b, cb, a).

    @@ -3282,7 +3274,7 @@ and a. Only required when B is an integer type. The type of a - shall be listed in one of the type lists B::signed_types, + shall be listed in B::signed_types, B::unsigned_types or B::float_types. The default version of this function calls eval_lcm(b, cb, a).

    @@ -3338,8 +3330,8 @@

    Sets b to the result of (cb^cb2)%a. The type of a - shall be listed in one of the type lists B::signed_types, - B::unsigned_types. The default version + shall be listed in B::signed_types + or B::unsigned_types. The default version of this function is synthesised from other operations above.

    @@ -3367,8 +3359,8 @@

    Sets b to the result of (cb^a)%cb2. The type of a - shall be listed in one of the type lists B::signed_types, - B::unsigned_types. The default version + shall be listed in B::signed_types + or B::unsigned_types. The default version of this function is synthesised from other operations above.

    @@ -3396,8 +3388,8 @@

    Sets b to the result of (cb^a)%a2. The type of a - shall be listed in one of the type lists B::signed_types, - B::unsigned_types. The default version + shall be listed in B::signed_types + or B::unsigned_types. The default version of this function is synthesised from other operations above.

    @@ -3423,7 +3415,7 @@ Sets b to the largest integer which when squared is less than cb, also sets b2 to - the remainder, ie to cb - b2. The default + the remainder, i.e. to cb - b2. The default version of this function is synthesised from other operations above.

    @@ -3524,7 +3516,7 @@

    Returns one of the same values returned by std::fpclassify. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function will only test for zero cb.

    @@ -3552,7 +3544,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3580,7 +3572,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3608,7 +3600,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3636,7 +3628,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is implemented in terms of eval_pow.

    @@ -3664,7 +3656,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3692,7 +3684,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3720,7 +3712,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3748,7 +3740,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3776,7 +3768,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3804,7 +3796,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3832,7 +3824,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3860,7 +3852,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3888,7 +3880,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3916,7 +3908,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3944,7 +3936,7 @@ on argument cb and stores the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -3974,7 +3966,7 @@ and cb2, and store the result in b. Only required when B - is an floating-point type. The default version of this function + is a floating-point type. The default version of this function is synthesised from other operations above.

    @@ -4662,8 +4654,9 @@
    number nexttoward (const number-or-expression-template-type&, const number-or-expression-template-type&);
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/cpp_bin_float_ref.html b/doc/html/boost_multiprecision/ref/cpp_bin_float_ref.html index 1e7e66487..c8c6a4b6a 100644 --- a/doc/html/boost_multiprecision/ref/cpp_bin_float_ref.html +++ b/doc/html/boost_multiprecision/ref/cpp_bin_float_ref.html @@ -3,7 +3,7 @@ cpp_bin_float - + @@ -51,7 +51,7 @@

    Class template cpp_bin_float - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -146,7 +146,7 @@

    Decimal string to binary conversion proceeds as follows: first parse the digits to produce an integer multiplied by a decimal exponent. Note that - we stop parsing digits once we have parsed as many as can possibly effect + we stop parsing digits once we have parsed as many as can possibly affect the result - this stops the integer part growing too large when there are a very large number of input digits provided. At this stage if the decimal exponent is positive then the result is an integer and we can in principle @@ -169,12 +169,12 @@

    the result. As before we use limited precision arithmetic to calculate the result and up the precision as necessary until the result is unambiguously correctly rounded. In addition our initial calculation of the decimal exponent - may be out by 1, so we have to correct that and loop as well in the that - case. + may be out by 1, so we have to correct that and loop as well in that case.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/cpp_dec_ref.html b/doc/html/boost_multiprecision/ref/cpp_dec_ref.html index 7b3b462b7..281fc21db 100644 --- a/doc/html/boost_multiprecision/ref/cpp_dec_ref.html +++ b/doc/html/boost_multiprecision/ref/cpp_dec_ref.html @@ -3,11 +3,11 @@ cpp_dec_float - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -39,7 +39,7 @@

    Class template cpp_dec_float - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -78,15 +78,16 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/ref/cpp_double_fp_ref.html b/doc/html/boost_multiprecision/ref/cpp_double_fp_ref.html new file mode 100644 index 000000000..79e115308 --- /dev/null +++ b/doc/html/boost_multiprecision/ref/cpp_double_fp_ref.html @@ -0,0 +1,91 @@ + + + +cpp_double_fp_backend + + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    +
    +
    namespace boost{ namespace multiprecision {
+
+template <class FloatingPointType>
+class cpp_double_fp_backend;
+
+typedef number<cpp_double_fp_backend<float>, et_off> cpp_double_float;
+typedef number<cpp_double_fp_backend<double>, et_off> cpp_double_double;
+typedef number<cpp_double_fp_backend<long double>, et_off> cpp_double_long_double;
+typedef number<cpp_double_fp_backend<boost::float128_type>, et_off> cpp_double_float128; // Only when boost::float128_type is available
+
+}} // namespaces
+
    +

    + The cpp_double_fp_backend + back-end is the sum of two IEEE floating-point numbers combined to create + a type having roughly twice the composite width of one of its parts. The + cpp_double_fp_backend back-end + is used in conjunction with number + and acts as an entirely C++ header only floating-point number type. +

    +

    + Class template cpp_double_fp_backend + fulfills all of the requirements for a Backend + type. Its members and non-member functions are deliberately not documented: + these are considered implementation details that are subject to change. +

    +

    + The class takes one template parameter: +

    +
    +

    +
    +
    FloatingPointType
    +

    + The constituent IEEE floating-point value of the two limbs of the composite + type. This can be float, + double, long double + or when available boost::float128_type. +

    +
    +
    +

    + The type of number_category<cpp_dec_float<Args...> >::type is std::integral_constant<int, + number_kind_floating_point>. +

    +

    + More information on this type can be found in the tutorial. +

    +
    +
    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/boost_multiprecision/ref/cpp_int_ref.html b/doc/html/boost_multiprecision/ref/cpp_int_ref.html index 0bf54eaf7..d89ca17ed 100644 --- a/doc/html/boost_multiprecision/ref/cpp_int_ref.html +++ b/doc/html/boost_multiprecision/ref/cpp_int_ref.html @@ -3,7 +3,7 @@ cpp_int - + @@ -84,7 +84,7 @@

    Class template cpp_int_backend - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -143,8 +143,9 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/gmp_int_ref.html b/doc/html/boost_multiprecision/ref/gmp_int_ref.html index 3f77624aa..b4db7ec07 100644 --- a/doc/html/boost_multiprecision/ref/gmp_int_ref.html +++ b/doc/html/boost_multiprecision/ref/gmp_int_ref.html @@ -3,7 +3,7 @@ gmp_int - + @@ -36,7 +36,7 @@ }} // namespaces

    - Class template gmp_int fulfils + Class template gmp_int fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change. @@ -49,8 +49,9 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/headers.html b/doc/html/boost_multiprecision/ref/headers.html index e34f1cfb1..503d0512e 100644 --- a/doc/html/boost_multiprecision/ref/headers.html +++ b/doc/html/boost_multiprecision/ref/headers.html @@ -3,7 +3,7 @@ Header File Structure - + @@ -397,8 +397,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/internals.html b/doc/html/boost_multiprecision/ref/internals.html index c4e93daa1..372d6c18a 100644 --- a/doc/html/boost_multiprecision/ref/internals.html +++ b/doc/html/boost_multiprecision/ref/internals.html @@ -3,10 +3,10 @@ Internal Support Code - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -59,7 +59,7 @@ The default version of this trait simply checks whether the kind of conversion (for example from a floating-point to an integer type) is inherently lossy. Note that if either of the types From - or To are of an unknown number + and To is of an unknown number category (because number_category is not specialised for that type) then this trait will be true.

    @@ -95,15 +95,16 @@ is specialized for that type.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/ref/mpf_ref.html b/doc/html/boost_multiprecision/ref/mpf_ref.html index aa1f4279a..448787477 100644 --- a/doc/html/boost_multiprecision/ref/mpf_ref.html +++ b/doc/html/boost_multiprecision/ref/mpf_ref.html @@ -3,7 +3,7 @@ gmp_float - + @@ -42,7 +42,7 @@

    Class template gmp_float - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -65,8 +65,9 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/mpfr_ref.html b/doc/html/boost_multiprecision/ref/mpfr_ref.html index 611a989de..e35633d68 100644 --- a/doc/html/boost_multiprecision/ref/mpfr_ref.html +++ b/doc/html/boost_multiprecision/ref/mpfr_ref.html @@ -3,7 +3,7 @@ mpfr_float_backend - + @@ -42,7 +42,7 @@

    Class template mpfr_float_backend - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -65,8 +65,9 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/number.html b/doc/html/boost_multiprecision/ref/number.html index 2a4f3d87d..1a6bc55fe 100644 --- a/doc/html/boost_multiprecision/ref/number.html +++ b/doc/html/boost_multiprecision/ref/number.html @@ -3,7 +3,7 @@ number - + @@ -77,7 +77,7 @@
    bool is_zero()const; int sign()const; // string conversion: - std::string str()const; + std::string str(std::streamsize digits = 0, std::ios_base::fmtflags f = std::ios_base::fmtflags(0))const; // Generic conversion mechanism template <class T> T convert_to()const; @@ -500,7 +500,7 @@
    contexts (this allows number to be used in any Boolean context - if statements, conditional statements, or as an argument to a logical operator - without type number - being convertible to type bool. + being convertible to type bool).

    This operator also enables the use of number @@ -528,11 +528,11 @@

    is positive, and zero if *this is zero.

    -
    std::string str(unsigned precision, bool scientific = true)const;
+
    std::string str(std::streamsize digits = 0, std::ios_base::fmtflags f = std::ios_base::fmtflags(0))const;
 
    
 
    
         Returns the number formatted as a string, with at least precision
-        digits, and in scientific format if scientific is true.
+        digits, and adhering to the format flags in f if provided.
       
    
 
    template <class T>
 T convert_to()const;
@@ -830,7 +830,7 @@ 
    
 
    
         These functions all behave exactly as their standard library C++11 counterparts
         do: their argument is either an instance of number
-        or an expression template derived from it; If the argument is of type number<Backend, et_off>
+        or an expression template derived from it; if the argument is of type number<Backend, et_off>
         then that is also the return type, otherwise the return type is an expression
         template unless otherwise stated.
       
    
@@ -859,7 +859,7 @@ 
    
         imag, arg,
         norm, conj
         and proj are overloaded for
-        scalar (ie non-complex) types in the same manner as <complex>
+        scalar (i.e. non-complex) types in the same manner as <complex>
         and treat the argument as a value whose imaginary part is zero.
       
    
 
    
@@ -883,10 +883,9 @@ 
    
       
    
 
    
         Also note that with the exception of abs
-        that these functions can only be used with floating-point Backend types (if
-        any other types such as fixed precision or complex types are added to the
-        library later, then these functions may be extended to support those number
-        types).
+        these functions can only be used with floating-point Backend types (if any
+        other types such as fixed precision or complex types are added to the library
+        later, then these functions may be extended to support those number types).
       
    
 
    
         The precision of these functions is generally determined by the backend implementation.
@@ -1267,8 +1266,8 @@ 
    
 
 
 
    [1] 
-                    It's likely that the inherent error in the input values to our
-                    test cases are to blame here.
+                    It's likely that inherent errors in the input values to our test
+                    cases are to blame here.
    @@ -1518,8 +1517,9 @@
    precision can vary at compile time (such as mpf_float).

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/ref/tom_int_ref.html b/doc/html/boost_multiprecision/ref/tom_int_ref.html index 4e3936d30..570a9b00a 100644 --- a/doc/html/boost_multiprecision/ref/tom_int_ref.html +++ b/doc/html/boost_multiprecision/ref/tom_int_ref.html @@ -3,7 +3,7 @@ tom_int - + @@ -37,7 +37,7 @@

    Class template tommath_int - fulfils all of the requirements for a Backend + fulfills all of the requirements for a Backend type. Its members and non-member functions are deliberately not documented: these are considered implementation details that are subject to change.

    @@ -49,8 +49,9 @@ More information on this type can be found in the tutorial.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut.html b/doc/html/boost_multiprecision/tut.html index e0a6dfed2..0a1855808 100644 --- a/doc/html/boost_multiprecision/tut.html +++ b/doc/html/boost_multiprecision/tut.html @@ -3,7 +3,7 @@ Tutorial - + @@ -46,6 +46,7 @@
    gmp_float
    mpfr_float
    float128
    +
    cpp_double_fp_backend
    Examples
    Construction @@ -55,7 +56,7 @@
    Drop-in Caveats
    Defining - a Special Function.
    + a Special Function
    Calculating a Derivative
    Calculating @@ -82,15 +83,12 @@
    cpp_rational
    gmp_rational
    tommath_rational
    -
    tommath_rational
    rational_adaptor
    Miscellaneous Number Types.
    logged_adaptor
    debug_adaptor
    -
    Visual C++ - Debugger Visualizers
    Forward Declarations
    Constructing and @@ -132,16 +130,21 @@ What kind of number do I want (integer, floating-point, rational, or - complex). + complex)?
  • Which back-end do I want to perform the actual arithmetic (Boost-supplied, - GMP, MPFR, MPC, Tommath etc)? + GMP, MPFR, MPC, Tommath etc.)?
    • +

    + A practical, comprehensive, instructive, clear and very helpful video regarding + the use of Multiprecision can be found here. +

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/complex.html b/doc/html/boost_multiprecision/tut/complex.html index b59dae654..5f64739be 100644 --- a/doc/html/boost_multiprecision/tut/complex.html +++ b/doc/html/boost_multiprecision/tut/complex.html @@ -3,7 +3,7 @@ Complex Number Types - + @@ -210,8 +210,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/complex/complex128.html b/doc/html/boost_multiprecision/tut/complex/complex128.html index da5aea270..fccb32781 100644 --- a/doc/html/boost_multiprecision/tut/complex/complex128.html +++ b/doc/html/boost_multiprecision/tut/complex/complex128.html @@ -3,7 +3,7 @@ complex128 - + @@ -68,7 +68,7 @@
  • This backend supports rvalue-references and is move-aware, making instantiations of number on this backend - move aware. + move-aware.
  • It is not possible to round-trip objects of this type to and from a @@ -210,8 +210,9 @@
    atanh(z1) = (0.000000000000000000000000000000000,0.785398163397448309615660845819876)
    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/complex/complex_adaptor.html b/doc/html/boost_multiprecision/tut/complex/complex_adaptor.html index ff02d308f..fde8e4b17 100644 --- a/doc/html/boost_multiprecision/tut/complex/complex_adaptor.html +++ b/doc/html/boost_multiprecision/tut/complex/complex_adaptor.html @@ -3,7 +3,7 @@ complex_adaptor - + @@ -36,7 +36,7 @@

    Class template complex_adaptor - is designed to sit inbetween class number + is designed to sit in between class number and an actual floating point backend, in order to create a new complex number type.

    @@ -45,8 +45,9 @@ and complex128.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/complex/cpp_complex.html b/doc/html/boost_multiprecision/tut/complex/cpp_complex.html index 86ad9b8f7..d0da487f1 100644 --- a/doc/html/boost_multiprecision/tut/complex/cpp_complex.html +++ b/doc/html/boost_multiprecision/tut/complex/cpp_complex.html @@ -3,7 +3,7 @@ cpp_complex - + @@ -109,7 +109,7 @@ go right up to the limits of the Exponent type as there has to be a little extra headroom for internal calculations. You will get a compile time error if this is the case. In addition if MinExponent - or MaxExponent are zero, then the library will choose suitable values that + or MaxExponent is zero, then the library will choose suitable values that are as large as possible given the constraints of the type and need for extra headroom for internal calculations.

    @@ -129,7 +129,7 @@

    • - Default constructed cpp_complexs + Default constructed cpp_complexes have a value of zero.
    • @@ -149,7 +149,7 @@
    • Any number instantiated - on this type, is convertible to any other number + on this type is convertible to any other number instantiated on this type - for example you can convert from number<cpp_complex<50> > to number<cpp_bin_float<SomeOtherValue> >. Narrowing conversions round to nearest and are explicit.
      • @@ -173,106 +173,92 @@
      Complex z1{0, 1}; std::cout << std::setprecision(std::numeric_limits<typename Complex::value_type>::digits10); std::cout << std::scientific << std::fixed; - std::cout << "Print a complex number: " << z1 << std::endl; - std::cout << "Square it : " << z1*z1 << std::endl; - std::cout << "Real part : " << z1.real() << " = " << real(z1) << std::endl; - std::cout << "Imaginary part : " << z1.imag() << " = " << imag(z1) << std::endl; - using std::abs; - std::cout << "Absolute value : " << abs(z1) << std::endl; - std::cout << "Argument : " << arg(z1) << std::endl; - std::cout << "Norm : " << norm(z1) << std::endl; - std::cout << "Complex conjugate : " << conj(z1) << std::endl; - std::cout << "Projection onto Riemann sphere: " << proj(z1) << std::endl; + std::cout << "Print a complex number : " << z1 << std::endl; + std::cout << "Square it : " << z1*z1 << std::endl; + std::cout << "Real part : " << z1.real() << " = " << real(z1) << std::endl; + std::cout << "Imaginary part : " << z1.imag() << " = " << imag(z1) << std::endl; + std::cout << "Absolute value : " << abs(z1) << std::endl; + std::cout << "Argument : " << arg(z1) << std::endl; + std::cout << "Norm : " << norm(z1) << std::endl; + std::cout << "Complex conjugate : " << conj(z1) << std::endl; + std::cout << "Proj onto Riemann sphere : " << proj(z1) << std::endl; typename Complex::value_type r = 1; typename Complex::value_type theta = 0.8; + + // We need a using declaration here, since polar is called with a scalar: using std::polar; - std::cout << "Polar coordinates (phase = 0) : " << polar(r) << std::endl; - std::cout << "Polar coordinates (phase !=0) : " << polar(r, theta) << std::endl; + + std::cout << "Polar coord phase = 0 : " << polar(r) << std::endl; + std::cout << "Polar coord phase != 0 : " << polar(r, theta) << std::endl; std::cout << "\nElementary special functions:\n"; - using std::exp; - std::cout << "exp(z1) = " << exp(z1) << std::endl; - using std::log; - std::cout << "log(z1) = " << log(z1) << std::endl; - using std::log10; - std::cout << "log10(z1) = " << log10(z1) << std::endl; - using std::pow; - std::cout << "pow(z1, z1) = " << pow(z1, z1) << std::endl; - using std::sqrt; - std::cout << "Take its square root : " << sqrt(z1) << std::endl; - using std::sin; - std::cout << "sin(z1) = " << sin(z1) << std::endl; - using std::cos; - std::cout << "cos(z1) = " << cos(z1) << std::endl; - using std::tan; - std::cout << "tan(z1) = " << tan(z1) << std::endl; - using std::asin; - std::cout << "asin(z1) = " << asin(z1) << std::endl; - using std::acos; - std::cout << "acos(z1) = " << acos(z1) << std::endl; - using std::atan; - std::cout << "atan(z1) = " << atan(z1) << std::endl; - using std::sinh; - std::cout << "sinh(z1) = " << sinh(z1) << std::endl; - using std::cosh; - std::cout << "cosh(z1) = " << cosh(z1) << std::endl; - using std::tanh; - std::cout << "tanh(z1) = " << tanh(z1) << std::endl; - using std::asinh; - std::cout << "asinh(z1) = " << asinh(z1) << std::endl; - using std::acosh; - std::cout << "acosh(z1) = " << acosh(z1) << std::endl; - using std::atanh; - std::cout << "atanh(z1) = " << atanh(z1) << std::endl; + std::cout << "exp(z1) : " << exp(z1) << std::endl; + std::cout << "log(z1) : " << log(z1) << std::endl; + std::cout << "log10(z1) : " << log10(z1) << std::endl; + std::cout << "pow(z1, z1) : " << pow(z1, z1) << std::endl; + std::cout << "Take its square root : " << sqrt(z1) << std::endl; + std::cout << "sin(z1) : " << sin(z1) << std::endl; + std::cout << "cos(z1) : " << cos(z1) << std::endl; + std::cout << "tan(z1) : " << tan(z1) << std::endl; + std::cout << "asin(z1) : " << asin(z1) << std::endl; + std::cout << "acos(z1) : " << acos(z1) << std::endl; + std::cout << "atan(z1) : " << atan(z1) << std::endl; + std::cout << "sinh(z1) : " << sinh(z1) << std::endl; + std::cout << "cosh(z1) : " << cosh(z1) << std::endl; + std::cout << "tanh(z1) : " << tanh(z1) << std::endl; + std::cout << "asinh(z1) : " << asinh(z1) << std::endl; + std::cout << "acosh(z1) : " << acosh(z1) << std::endl; + std::cout << "atanh(z1) : " << atanh(z1) << std::endl; } int main() { - std::cout << "First, some operations we usually perform with std::complex:\n"; + std::cout << "First, some operations performed with std::complex:\n"; complex_number_examples<std::complex<double>>(); - std::cout << "\nNow the same operations performed using quad precision complex numbers:\n"; - complex_number_examples<boost::multiprecision::cpp_complex_quad>(); - return 0; + std::cout << "\nNow the same operations performed with quad precision complex numbers:\n"; + complex_number_examples<boost::multiprecision::cpp_complex_quad>(); }

      Which produces the output (for the multiprecision type):

      -
      Print a complex number: (0.000000000000000000000000000000000,1.000000000000000000000000000000000)
-Square it             : -1.000000000000000000000000000000000
-Real part             : 0.000000000000000000000000000000000 = 0.000000000000000000000000000000000
-Imaginary part        : 1.000000000000000000000000000000000 = 1.000000000000000000000000000000000
-Absolute value        : 1.000000000000000000000000000000000
-Argument              : 1.570796326794896619231321691639751
-Norm                  : 1.000000000000000000000000000000000
-Complex conjugate     : (0.000000000000000000000000000000000,-1.000000000000000000000000000000000)
-Projection onto Riemann sphere: (0.000000000000000000000000000000000,1.000000000000000000000000000000000)
-Polar coordinates (phase = 0)    : 1.000000000000000000000000000000000
-Polar coordinates (phase !=0)    : (0.696706709347165389063740022772448,0.717356090899522792567167815703377)
+
      Now the same operations performed using quad precision complex numbers:
+Print a complex number   : (0.000000000000000000000000000000000,1.000000000000000000000000000000000)
+Square it                : -1.000000000000000000000000000000000
+Real part                : 0.000000000000000000000000000000000 = 0.000000000000000000000000000000000
+Imaginary part           : 1.000000000000000000000000000000000 = 1.000000000000000000000000000000000
+Absolute value           : 1.000000000000000000000000000000000
+Argument                 : 1.570796326794896619231321691639751
+Norm                     : 1.000000000000000000000000000000000
+Complex conjugate        : (0.000000000000000000000000000000000,-1.000000000000000000000000000000000)
+Proj onto Riemann sphere : (0.000000000000000000000000000000000,1.000000000000000000000000000000000)
+Polar coord phase =  0   : 1.000000000000000000000000000000000
+Polar coord phase != 0   : (0.696706709347165389063740022772448,0.717356090899522792567167815703377)
 
 Elementary special functions:
-exp(z1) = (0.540302305868139717400936607442977,0.841470984807896506652502321630299)
-log(z1) = (0.000000000000000000000000000000000,1.570796326794896619231321691639751)
-log10(z1) = (0.000000000000000000000000000000000,0.682188176920920673742891812715678)
-pow(z1, z1) = 0.207879576350761908546955619834979
-Take its square root  : (0.707106781186547524400844362104849,0.707106781186547524400844362104849)
-sin(z1) = (0.000000000000000000000000000000000,1.175201193643801456882381850595601)
-cos(z1) = 1.543080634815243778477905620757062
-tan(z1) = (0.000000000000000000000000000000000,0.761594155955764888119458282604794)
-asin(z1) = (0.000000000000000000000000000000000,0.881373587019543025232609324979793)
-acos(z1) = (1.570796326794896619231321691639751,-0.881373587019543025232609324979793)
-atan(z1) = (0.000000000000000000000000000000000,inf)
-sinh(z1) = (0.000000000000000000000000000000000,0.841470984807896506652502321630299)
-cosh(z1) = 0.540302305868139717400936607442977
-tanh(z1) = (0.000000000000000000000000000000000,1.557407724654902230506974807458360)
-asinh(z1) = (0.000000000000000000000000000000000,1.570796326794896619231321691639751)
-acosh(z1) = (0.881373587019543025232609324979792,1.570796326794896619231321691639751)
-atanh(z1) = (0.000000000000000000000000000000000,0.785398163397448309615660845819876)
+exp(z1)                  : (0.540302305868139717400936607442977,0.841470984807896506652502321630299)
+log(z1)                  : (0.000000000000000000000000000000000,1.570796326794896619231321691639751)
+log10(z1)                : (0.000000000000000000000000000000000,0.682188176920920673742891812715678)
+pow(z1, z1)              : 0.207879576350761908546955619834979
+Take its square root     : (0.707106781186547524400844362104849,0.707106781186547524400844362104849)
+sin(z1)                  : (0.000000000000000000000000000000000,1.175201193643801456882381850595601)
+cos(z1)                  : 1.543080634815243778477905620757062
+tan(z1)                  : (0.000000000000000000000000000000000,0.761594155955764888119458282604794)
+asin(z1)                 : (0.000000000000000000000000000000000,0.881373587019543025232609324979792)
+acos(z1)                 : (1.570796326794896619231321691639751,-0.881373587019543025232609324979792)
+atan(z1)                 : (0.000000000000000000000000000000000,inf)
+sinh(z1)                 : (0.000000000000000000000000000000000,0.841470984807896506652502321630299)
+cosh(z1)                 : 0.540302305868139717400936607442977
+tanh(z1)                 : (0.000000000000000000000000000000000,1.557407724654902230506974807458360)
+asinh(z1)                : (0.000000000000000000000000000000000,1.570796326794896619231321691639751)
+acosh(z1)                : (0.881373587019543025232609324979792,1.570796326794896619231321691639751)
+atanh(z1)                : (0.000000000000000000000000000000000,0.785398163397448309615660845819876)
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/complex/mpc_complex.html b/doc/html/boost_multiprecision/tut/complex/mpc_complex.html index 1e0794e50..4158c86d0 100644 --- a/doc/html/boost_multiprecision/tut/complex/mpc_complex.html +++ b/doc/html/boost_multiprecision/tut/complex/mpc_complex.html @@ -3,7 +3,7 @@ mpc_complex - + @@ -47,7 +47,7 @@ The mpc_complex_backend type is used in conjunction with number: It acts as a thin wrapper around the MPC - mpc_t to provide an real-number + mpc_t to provide a real-number type that is a drop-in replacement for std::complex, but with much greater precision.

    @@ -114,7 +114,7 @@ code.
  • - The code can equally use MPIR + The code can equally use MPIR in place of GMP - indeed that is the preferred option on Win32.
    • @@ -268,8 +268,9 @@
    atanh(z1) = (0.00000000000000000000000000000000000000000000000000,0.78539816339744830961566084581987572104929234984378)
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/conversions.html b/doc/html/boost_multiprecision/tut/conversions.html index aba80ea35..34f195ad0 100644 --- a/doc/html/boost_multiprecision/tut/conversions.html +++ b/doc/html/boost_multiprecision/tut/conversions.html @@ -3,7 +3,7 @@ Constructing and Interconverting Between Number Types - + @@ -39,8 +39,8 @@ (built-in) arithmetic type, as long as the conversion isn't lossy (for example float to int conversion):

    -
    cpp_dec_float_50 df(0.5);   // OK construction from double
-cpp_int          i(450);    // OK constructs from signed int
+
    cpp_dec_float_50 df(0.5);   // OK, construction from double
+cpp_int          i(450);    // OK, constructs from signed int
 cpp_int          j = 3.14;  // Error, lossy conversion.
 
    
 
@@ -49,8 +49,8 @@
             A number can be explicitly constructed from an arithmetic type, even
             when the conversion is lossy:
           
    
-
    cpp_int          i(3.14);       // OK explicit conversion
-i = static_cast<cpp_int>(3.14)  // OK explicit conversion
+
    cpp_int          i(3.14);       // OK, explicit conversion
+i = static_cast<cpp_int>(3.14)  // OK, explicit conversion
 i.assign(3.14);                 // OK, explicit assign and avoid a temporary from the cast above
 i = 3.14;                       // Error, no implicit assignment operator for lossy conversion.
 cpp_int          j = 3.14;      // Error, no implicit constructor for lossy conversion.
@@ -100,7 +100,7 @@
           
    
 
    mpz_int z(2);
 int i = z;                     // Error, implicit conversion not allowed.
-int j = static_cast<int>(z);   // OK explicit conversion.
+int j = static_cast<int>(z);   // OK, explicit conversion.
 
    
 
 
  • 
@@ -159,7 +159,7 @@
             explicit if it is:
           
    
 
    int128_t     i128 = 0;
-int266_t     i256 = i128;  // OK implicit widening conversion
+int266_t     i256 = i128;  // OK, implicit widening conversion
 i128_t            = i256;  // Error, no assignment operator found, narrowing conversion is explicit.
 i128_t            = static_cast<int128_t>(i256); // OK, explicit narrowing conversion.
 
@@ -204,11 +204,12 @@
         More information on what additional types a backend supports conversions
         from are given in the tutorial for each backend. The converting constructor
         will be implicit if the backend's converting constructor is also implicit,
-        and explicit if the backends converting constructor is also explicit.
+        and explicit if the backend's converting constructor is also explicit.
    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/eigen.html b/doc/html/boost_multiprecision/tut/eigen.html index 03564992e..823812435 100644 --- a/doc/html/boost_multiprecision/tut/eigen.html +++ b/doc/html/boost_multiprecision/tut/eigen.html @@ -3,7 +3,7 @@ Eigen Interoperability - + @@ -86,8 +86,9 @@ The relative error is: 2.63132e-34
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats.html b/doc/html/boost_multiprecision/tut/floats.html index 5d9907f43..bd83230dc 100644 --- a/doc/html/boost_multiprecision/tut/floats.html +++ b/doc/html/boost_multiprecision/tut/floats.html @@ -3,7 +3,7 @@ Floating-point Types - + @@ -33,6 +33,7 @@
    gmp_float
    mpfr_float
    float128
    +
    cpp_double_fp_backend
    Examples
    Construction @@ -42,7 +43,7 @@
    Drop-in Caveats
    Defining - a Special Function.
    + a Special Function
    Calculating a Derivative
    Calculating @@ -169,7 +170,7 @@

    - mpf_float<N> + gmp_float<N>

    @@ -202,7 +203,7 @@

    - mpfr_float<N> + mpfr_float_backend<N>

    @@ -236,7 +237,7 @@

    - float128 + float128_backend

    @@ -267,11 +268,47 @@

    + + +

    + cpp_double_fp_backend<T> +

    + + +

    + boost/multiprecision/cpp_double_fp.hpp +

    + + +

    + 2 +

    + + +

    + None +

    + + +

    + Header only, all C++ implementation. Boost licence. +

    + + +

    + Approximately 2x double-float, + double, long double + or boost::float128_type designed for lower-precision, + higher run-time performance. +

    + +
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/cpp_bin_float.html b/doc/html/boost_multiprecision/tut/floats/cpp_bin_float.html index f2163b4fc..4d0756e8a 100644 --- a/doc/html/boost_multiprecision/tut/floats/cpp_bin_float.html +++ b/doc/html/boost_multiprecision/tut/floats/cpp_bin_float.html @@ -3,7 +3,7 @@ cpp_bin_float - + @@ -77,12 +77,11 @@ provide software analogues of the IEEE single, double, quad and octuple float data types, plus the Intel-extended-double type respectively. Note that while these types are functionally equivalent to the native IEEE types, - but they do not have the same size or bit-layout as true IEEE compatible - types. + they do not have the same size or bit-layout as true IEEE compatible types.

    Normally cpp_bin_float - allocates no memory: all of the space required for its digits are allocated + allocates no memory: all of the space required for its digits is allocated directly within the class. As a result care should be taken not to use the class with too high a digit count as stack space requirements can grow out of control. If that represents a problem then providing an allocator @@ -137,7 +136,7 @@

  • Any number instantiated - on this type, is convertible to any other number + on this type is convertible to any other number instantiated on this type - for example you can convert from number<cpp_bin_float<50> > to number<cpp_bin_float<SomeOtherValue> >. Narrowing conversions round to nearest and are explicit.
    • @@ -150,7 +149,7 @@ All arithmetic operations are correctly rounded to nearest. String conversions and the sqrt function are also correctly rounded, but transcendental functions (sin, - cos, pow, exp etc) are not. + cos, pow, exp etc.) are not.
    @@ -188,8 +187,9 @@
    }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html b/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html index a04de7747..3ee948685 100644 --- a/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html +++ b/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html @@ -3,7 +3,7 @@ cpp_dec_float - + @@ -30,7 +30,7 @@

    #include <boost/multiprecision/cpp_dec_float.hpp>

    -
    namespace boost{ namespace multiprecision{
+
    namespace boost { namespace multiprecision {
 
 template <unsigned Digits10, class ExponentType = std::int32_t, class Allocator = void>
 class cpp_dec_float;
@@ -38,7 +38,7 @@
 typedef number<cpp_dec_float<50> > cpp_dec_float_50;
 typedef number<cpp_dec_float<100> > cpp_dec_float_100;
 
-}} // namespaces
+} } // namespaces
 
    
 
    
           The cpp_dec_float back-end
@@ -108,7 +108,7 @@
             
 
  • 
               Any number instantiated
-              on this type, is convertible to any other number
+              on this type is convertible to any other number
               instantiated on this type - for example you can convert from number<cpp_dec_float<50> > to number<cpp_dec_float<SomeOtherValue> >.
               Narrowing conversions are truncating and explicit.
             
    • 
@@ -162,8 +162,9 @@ 
    
 }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/cpp_double_fp_backend.html b/doc/html/boost_multiprecision/tut/floats/cpp_double_fp_backend.html new file mode 100644 index 000000000..6d2bf9738 --- /dev/null +++ b/doc/html/boost_multiprecision/tut/floats/cpp_double_fp_backend.html @@ -0,0 +1,190 @@ + + + +cpp_double_fp_backend + + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    +
    +

    + #include <boost/multiprecision/cpp_double_fp.hpp> +

    +
    namespace boost { namespace multiprecision {
+
+template <class FloatingPointType>
+class cpp_double_fp_backend;
+
+typedef number<cpp_double_fp_backend<float>, et_off> cpp_double_float;
+typedef number<cpp_double_fp_backend<double>, et_off> cpp_double_double;
+typedef number<cpp_double_fp_backend<long double>, et_off> cpp_double_long_double;
+typedef number<cpp_double_fp_backend<boost::float128_type>, et_off> cpp_double_float128; // Only when boost::float128_type is available
+
+} } // namespaces
+
    +

    + The cpp_double_fp_backend + back-end is a relatively simple two-limb backend type. It is composed of + the sum of two IEEE floating-point numbers. These are combined to create + a type having a composite width rougly twice that as one of its parts. + The cpp_double_fp_backend + back-end is used in conjunction with number + and acts as an entirely C++ header only floating-point number type. +

    +

    + The implementation relies on double-word arithmetic which is a technique + used to represent a real number as the sum of two floating-point numbers. + Other commonly used names for this include double-double + or double-word arithmetic. +

    +

    + The cpp_double_fp_backend + types have fixed width and do not allocate. The type cpp_double_double, + for instance, is composed of two built-in double + components. On most common systems, built-in double + is a double-precision IEEE floating-point number. This results in a cpp_double_double that has 106 binary + digits and approximately 32 decimal digits of precision. +

    +

    + The exponent ranges of the types are slightly limited (on the negative + side) compared to those of the composing type. Consider again the type + cpp_double_double, which + is built from two double-precision IEEE double-precision floating-point + numebers. On common systems, this type has a maximum decimal exponent of + 308 (the same as one single double-precision floating point number). The + negative minimum exponent, however, is about -291, which is less range + than -307 from standalone double. The reason for the limitation is because + the composite lower-limb has lower value than its upper limb. The composite + type would easily underflow or become subnormal if the upper limb had its + usual minimum value. +

    +

    + There is full standard library and std::numeric_limits + support available for this type. +

    +

    + Note that the availability of cpp_double_float128 + depends on the availability of boost::float128_type, + which can be queried at compile-time via the configuration macro BOOST_HAS_FLOAT128. This is available + at the moment predominantly with GCC compilers in GNU-standard mode and + (with GCC 14 and later) also in strict ANSI mode. +

    +

    + Run-time performance is a top-level requirement for the cpp_double_fp_backend + types. The types still do, however, support infinities, NaNs and (of course) + zeros. Signed negative zero, however, is not supported (in favor of efficiency). + All zeros are treated as positive. +

    +

    + The cpp_double_fp_backend + types interoperate with Boost.Math and Boost.Math.Constants. This offers + the wealth of Boost-related mathematical tools instantiated with the cpp_double_fp_backend types. +

    +

    + Things you should know when using the cpp_double_fp_backend + types: +

    +
      +
    • + Although the types are created from two individual IEEE floating-point + components, they specifically and clearly are not IEEE types in their + composite forms. +
      • +
    • + As a result, these types can behave subtly differently from IEEE floating-point + types. +
      • +
    • + The types can not be used with certain compiler variations of fast-math. + On GCC/clang, for instance, -ffast-math can not be used (use either + the default or explicitly set -fno-fast-math). On MSVC /fp:fast can not be used and /fp:precise + (the default) is mandatory on MSVC compilers. This is because the algorithms, + in particular those for addition, subtraction, multiplication, division + and square root, rely on precise floating-point rounding. +
      • +
    • + The composite types are not as precise as their constituents. For information + on error-bounds, see Joldes et al. in the references below. +
      • +
    • + There are std::numeric_limits specializations for + these types. +
      • +
    • + Almost all of the methods of the cpp_double_fp_backend + implementation are constexpr. + The sole exception is read-from-string, which is not yet constexpr, but may become so in future + evolution. +
      • +
    • + Conversions to and from string internally use an intermediate cpp_bin_float value. This is a bit + awkward and may be eliminated in future refinements. +
      • +
    +

    + The cpp_double_fp_backend + back-end has been inspired by original works and types. These include the + historical doubledouble + and more, as listed below. +

    +
      +
    • + K. Briggs, the doubledouble + library, 1998. +
      • +
    • + V. Shoup, the class quad_float + in the NTL number-theory library https://libntl.org. +
      • +
    • + Yozo Hida, X. Li, and D. H. Bailey, Quad-Double Arithmetic: Algorithms, + Implementation, and Application, Lawrence Berkeley National Laboratory + Technical Report LBNL-46996 (2000). Also Y. Hida et al., Library for + double-double and quad-double arithmetic https://web.mit.edu/tabbott/Public/quaddouble-debian/qd-2.3.4-old/docs/qd.pdf. +
      • +
    • + Mioara Maria Joldes, Jean-Michel Muller, Valentina Popescu. Tight and + rigourous error bounds for basic building blocks of double-word arithmetic. + ACM Transactions on Mathematical Software, 2017, 44 (2), pp. 1 - 27. + ff10.1145/3121432ff. ffhal-01351529v3f. +
      • +
    • + The foundational cpp_double_fp_backend + draft was originally created by Fahad Syed in Boost GSoC2021 multiprecision + project. Its source code can be found at https://github.com/BoostGSoC21/multiprecision. +
      • +
    +
    +
    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    +
    +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/boost_multiprecision/tut/floats/float128.html b/doc/html/boost_multiprecision/tut/floats/float128.html index 71c9ba8e5..95fff5966 100644 --- a/doc/html/boost_multiprecision/tut/floats/float128.html +++ b/doc/html/boost_multiprecision/tut/floats/float128.html @@ -3,11 +3,11 @@ float128 - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -42,9 +42,9 @@ The float128 number type is a very thin wrapper around GCC's __float128 or Intel's _Quad data types - and provides an real-number type that is a drop-in replacement for the - native C++ floating-point types, but with a 113 bit mantissa, and compatible - with FORTRAN's 128-bit QUAD real. + and provides a real-number type that is a drop-in replacement for the native + C++ floating-point types, but with a 113 bit mantissa, and compatible with + FORTRAN's 128-bit QUAD real.

    All the usual standard library and std::numeric_limits @@ -76,7 +76,7 @@

  • This backend supports rvalue-references and is move-aware, making instantiations of number on this backend - move aware. + move-aware.
  • This type is fully constexpr @@ -149,7 +149,8 @@
    float128 example:
    -
    #include <boost/multiprecision/float128.hpp>
+
    #include <boost/type_index.hpp>
+#include <boost/multiprecision/float128.hpp>
 #include <boost/math/special_functions/gamma.hpp>
 #include <iostream>
 
@@ -210,41 +211,42 @@ 
    
           Values for std::numeric_limits<float128>
           are:
         
    
-
    GCC 8.1.0
+
    GCC 14.1.0
 
-Type name is float128_t:
-Type is g
-std::is_fundamental<> = true
-boost::multiprecision::detail::is_signed<> = true
+Type name: boost::multiprecision::float128
+Full name: boost::multiprecision::number<boost::multiprecision::backends::float128_backend, (boost::multiprecision::expression_template_option)0>
+
+std::is_fundamental<> = false
+boost::multiprecision::detail::is_signed<> = false
 boost::multiprecision::detail::is_unsigned<> = false
 boost::multiprecision::detail::is_integral<> = false
-boost::multiprecision::detail::is_arithmetic<> = true
+boost::multiprecision::detail::is_arithmetic<> = false
 std::is_const<> = false
-std::is_trivial<> = true
+std::is_trivial<> = false
+std::is_trivially_copyable<> = true
 std::is_standard_layout<> = true
-std::is_pod<> = true
-std::numeric_limits::<>is_exact = false
-std::numeric_limits::<>is bounded = true
-std::numeric_limits::<>is_modulo = false
-std::numeric_limits::<>is_iec559 = true
-std::numeric_limits::<>traps = false
-std::numeric_limits::<>tinyness_before = false
-std::numeric_limits::<>max() = 1.18973149535723176508575932662800702e+4932
-std::numeric_limits::<>min() = 3.36210314311209350626267781732175260e-4932
-std::numeric_limits::<>lowest() = -1.18973149535723176508575932662800702e+4932
-std::numeric_limits::<>min_exponent = -16381
-std::numeric_limits::<>max_exponent = 16384
-std::numeric_limits::<>epsilon() = 1.92592994438723585305597794258492732e-34
-std::numeric_limits::<>radix = 2
-std::numeric_limits::<>digits = 113
-std::numeric_limits::<>digits10 = 33
-std::numeric_limits::<>max_digits10 = 36
-std::numeric_limits::<>has denorm = true
-std::numeric_limits::<>denorm min = 6.47517511943802511092443895822764655e-4966
-std::denorm_loss = false
-limits::has_signaling_NaN == false
-std::numeric_limits::<>quiet_NaN = nan
-std::numeric_limits::<>infinity = inf
+std::is_pod<> = false
+std::numeric_limits<>::is_exact = false
+std::numeric_limits<>::is_bounded = true
+std::numeric_limits<>::is_modulo = false
+std::numeric_limits<>::is_iec559 = true
+std::numeric_limits<>::traps = false
+std::numeric_limits<>::tinyness_before = false
+std::numeric_limits<>::max() = 1.18973149535723176508575932662800702e+4932
+std::numeric_limits<>::min() = 3.3621031431120935062626778173217526e-4932
+std::numeric_limits<>::lowest() = -1.18973149535723176508575932662800702e+4932
+std::numeric_limits<>::min_exponent = -16381
+std::numeric_limits<>::max_exponent = 16384
+std::numeric_limits<>::epsilon() = 1.92592994438723585305597794258492732e-34
+std::numeric_limits<>::radix = 2
+std::numeric_limits<>::digits = 113
+std::numeric_limits<>::max_digits10 = 36
+std::numeric_limits<>::has_denorm = 1
+std::numeric_limits<>::denorm_min() = 6.47517511943802511092443895822764655e-4966
+std::numeric_limits<>::has_denorm_loss = true
+std::numeric_limits<>::has_signaling_NaN = false
+std::numeric_limits<>::quiet_NaN() = nan
+std::numeric_limits<>::infinity() = inf
 
    
 
    
 
    
@@ -253,15 +255,16 @@

    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg.html b/doc/html/boost_multiprecision/tut/floats/fp_eg.html index 832aa1660..f0533f244 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg.html @@ -3,10 +3,10 @@ Examples - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/aos.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/aos.html index 1de342295..a7374291e 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/aos.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/aos.html @@ -3,7 +3,7 @@ Area of Circle - + @@ -110,8 +110,9 @@ (built-in) types.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/caveats.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/caveats.html index 9af212c0c..dfb5f8709 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/caveats.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/caveats.html @@ -3,11 +3,11 @@ Drop-in Caveats - + - + @@ -90,7 +90,7 @@ 
    0.14285714285714285714285714285714285714285714285714

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

    @@ -163,11 +163,11 @@
    For some purposes, this difference in precision may be insignificant, but if one is implementing a formula involving a fraction from integers, including decimal fractions like 1/10, 1/100, then comparison with other - computations like Wolfram Alpha - will reveal differences whose cause may be perplexing. + computations like __WolframAlpha will reveal differences whose cause + may be perplexing.

    - To get as precise-as-possible decimal fractions like 1.234, we can write + To get as-precise-as-possible decimal fractions like 1.234, we can write 

    const cpp_bin_float_50 f1(cpp_bin_float_50(1234) / 1000);  // Construct from a fraction.
 std::cout << "cpp_bin_float_50 f1(cpp_bin_float_50(1234) / 1000) = " << f1 << std::endl; // cpp_bin_float_50 f1(cpp_bin_float_50(1234) / 1000) = 1.2340000000000000000000000000000000000000000000000
@@ -200,8 +200,9 @@ 
    
 cpp_bin_float_50 f3(cpp_bin_float_50(1.234)) = 1.2339999999999999857891452847979962825775146484375
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/floatbuiltinctor.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/floatbuiltinctor.html index 451321695..e07189e2f 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/floatbuiltinctor.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/floatbuiltinctor.html @@ -3,7 +3,7 @@ Construction from Specific Values Without Precision Loss - + @@ -31,7 +31,7 @@

    Construction of multiprecision types from built-in floating-point types can lead to potentially unexpected, yet correct, results. Consider, for - instance constructing an instance of cpp_dec_float_50 + instance, constructing an instance of cpp_dec_float_50 from the literal built-in floating-point double value 11.1.

    @@ -56,7 +56,7 @@ }

    - In this example, the system has a 64-bit built in double + In this example, the system has a 64-bit built-in double representation. The variable f11 is initialized with the literal double value 11.1. Recall that built-in floating-point representations are based @@ -79,8 +79,9 @@ const my_dec_100 f11_n (my_dec_100(111) / 10);

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/gauss_lagerre_quadrature.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/gauss_lagerre_quadrature.html index fe8b01d34..937993ff4 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/gauss_lagerre_quadrature.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/gauss_lagerre_quadrature.html @@ -3,7 +3,7 @@ Gauss-Laguerre quadrature - + @@ -80,10 +80,10 @@ 1.

    - Empirical data were used with Wolfram - Alpha : + Empirical data were used with Wolfram + Alpha Gauss-Laguerre coefficients :

    -
    Fit[{{21.0, 3.5}, {51.0, 11.1}, {101.0, 22.5}, {201.0, 46.8}}, {1, d, d^2}, d]FullSimplify[%]
+
    Fit[{{21.0, 3.5}, {51.0, 11.1}, {101.0, 22.5}, {201.0, 46.8}}, {1, d, d^2}, d] FullSimplify[%]
   0.0000178915 d^2 + 0.235487 d - 1.28301
   or
   -1.28301 + (0.235487 + 0.0000178915 d) d
@@ -120,8 +120,8 @@
 
    
             Finally the result using Gauss-Laguerre quadrature is compared with a
             calculation using cyl_bessel_k,
-            and both are listed, finally confirming that none differ more than a
-            small tolerance.
+            and both are listed, conclusively confirming that none differ by more
+            than a small tolerance.
           
    
 
    airy_ai_value  : 0.13529241631288141552414742351546630617494414298833070600910205475763353480226572366348710990874867334
 airy_ai_control: 0.13529241631288141552414742351546630617494414298833070600910205475763353480226572366348710990874868323
@@ -138,8 +138,9 @@
             gauss_laguerre_quadrature.cpp.
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/gi.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/gi.html index caa2b376a..0f739a11a 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/gi.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/gi.html @@ -3,7 +3,7 @@ Calculating an Integral - + @@ -143,8 +143,9 @@ }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/jel.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/jel.html index 922c0b499..4f1c53856 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/jel.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/jel.html @@ -1,9 +1,9 @@ -Defining a Special Function. +Defining a Special Function - + @@ -25,8 +25,8 @@

    In this example we'll show several implementations of the Jahnke @@ -95,9 +95,9 @@ 

    9.82266396479604757017335009796882833995903762577173e-01

    - Now that we've seen some non-template examples, lets repeat the code + Now that we've seen some non-template examples, let's repeat the code again, but this time as a template that can be called either with a builtin - type (float, double etc), or with a multiprecision + type (float, double etc.), or with a multiprecision type: 

    template <class Float>
@@ -200,8 +200,9 @@
 }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/nd.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/nd.html index 6045244fc..be2396d0d 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/nd.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/nd.html @@ -3,10 +3,10 @@ Calculating a Derivative - + - + @@ -184,8 +184,9 @@ std::cout << boost::math::gamma_p_derivative(cpp_dec_float_50(2), cpp_dec_float_50(2)) << std::endl;
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/poly_eg.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/poly_eg.html index a142c0596..db03b2f72 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/poly_eg.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/poly_eg.html @@ -3,7 +3,7 @@ Polynomial Evaluation - + @@ -137,8 +137,9 @@ 

    7.0710678118654752440084436210484903928483593768847403658833986900e-01
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/fp_eg/variable_precision.html b/doc/html/boost_multiprecision/tut/floats/fp_eg/variable_precision.html index fd3f0f112..fce718310 100644 --- a/doc/html/boost_multiprecision/tut/floats/fp_eg/variable_precision.html +++ b/doc/html/boost_multiprecision/tut/floats/fp_eg/variable_precision.html @@ -3,7 +3,7 @@ Variable-Precision Newton Evaluation - + @@ -37,15 +37,15 @@ for which Ix(a, b) = 0.5.

    - Ultimately we'll use Newtons method and set the precision of mpfr_float + Ultimately we'll use Newton's method and set the precision of mpfr_float to have just enough digits at each iteration.

    - The full source of the this program is in ../../example/mpfr_precision.cpp + The full source of this program is in ../../example/mpfr_precision.cpp.

    - We'll skip over the #includes and using declations, and go straight to - some support code, first off a simple stopwatch for performance measurement: + We'll skip over the #includes and using declarations, and go straight + to some support code, first off a simple stopwatch for performance measurement: 

    template <class clock_type>
 struct stopwatch { /*details \*/ };
@@ -84,7 +84,7 @@
                 distribution, and
               
 
  • 
-                The number of decimal digits precision to achieve in the result.
+                the number of decimal digits precision to achieve in the result.
               
    •

    @@ -93,7 +93,7 @@ and b have been or what precision they have, we make a copy of them - note that since copying also copies the precision as well as the value, we have to set the precision - expicitly with a second argument to the copy. Then we can simply return + explicitly with a second argument to the copy. Then we can simply return the result of ibeta_inv: 

    mpfr_float beta_distribution_median_method_1(mpfr_float const& a_, mpfr_float const& b_, unsigned digits10)
@@ -104,7 +104,7 @@
 }

    - You be wondering why we needed to change the precision of our variables + You may be wondering why we needed to change the precision of our variables a and b as well as setting the default - there are in fact two ways in which this can go wrong if we don't do that: @@ -253,8 +253,9 @@ }

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/gmp_float.html b/doc/html/boost_multiprecision/tut/floats/gmp_float.html index 9a1116b3b..7db93fc93 100644 --- a/doc/html/boost_multiprecision/tut/floats/gmp_float.html +++ b/doc/html/boost_multiprecision/tut/floats/gmp_float.html @@ -3,7 +3,7 @@ gmp_float - + @@ -45,9 +45,9 @@

    The gmp_float back-end - is used in conjunction with number - : it acts as a thin wrapper around the GMP - mpf_t to provide an real-number + is used in conjunction with number: + it acts as a thin wrapper around the GMP + mpf_t to provide a real-number type that is a drop-in replacement for the native C++ floating-point types, but with much greater precision.

    @@ -110,7 +110,7 @@
  • This backend supports rvalue-references and is move-aware, making instantiations of number on this backend - move aware. + move-aware.
  • It is not possible to round-trip objects of this type to and from a @@ -128,7 +128,7 @@ to segfault).
  • - This type can equally be used with MPIR + This type can equally be used with MPIR as the underlying implementation - indeed that is the recommended option on Win32.
    • @@ -179,8 +179,9 @@
    }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/floats/mpfr_float.html b/doc/html/boost_multiprecision/tut/floats/mpfr_float.html index 53360d10b..e135e216f 100644 --- a/doc/html/boost_multiprecision/tut/floats/mpfr_float.html +++ b/doc/html/boost_multiprecision/tut/floats/mpfr_float.html @@ -3,7 +3,7 @@ mpfr_float - + @@ -209,14 +209,14 @@ or GMP code.
  • - The code can equally use MPIR + The code can equally use MPIR in place of GMP - indeed that is the preferred option on Win32.
  • This backend supports rvalue-references and is move-aware, making instantiations of number on this backend - move aware. + move-aware.
  • Conversion from a string results in a std::runtime_error @@ -286,8 +286,9 @@

    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/fwd.html b/doc/html/boost_multiprecision/tut/fwd.html index c71b63c5b..17edda9aa 100644 --- a/doc/html/boost_multiprecision/tut/fwd.html +++ b/doc/html/boost_multiprecision/tut/fwd.html @@ -3,10 +3,10 @@ Forward Declarations - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -30,7 +30,7 @@

    The header <boost/multiprecision/fwd.hpp> contains forward declarations for class number - plus all of the available backends in the this library: + plus all of the available backends in this library: 

    namespace boost {
 namespace multiprecision {
@@ -264,15 +264,16 @@
  } }

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/gen_int.html b/doc/html/boost_multiprecision/tut/gen_int.html index cd27d7a1e..e185eb8ca 100644 --- a/doc/html/boost_multiprecision/tut/gen_int.html +++ b/doc/html/boost_multiprecision/tut/gen_int.html @@ -3,7 +3,7 @@ Generic Integer Operations - + @@ -167,8 +167,9 @@ (built-in) types and multiprecision types.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/hash.html b/doc/html/boost_multiprecision/tut/hash.html index 22d063249..a8bca1590 100644 --- a/doc/html/boost_multiprecision/tut/hash.html +++ b/doc/html/boost_multiprecision/tut/hash.html @@ -3,7 +3,7 @@ Hash Function Support - + @@ -68,8 +68,9 @@ set2.insert(ui(mt));
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/import_export.html b/doc/html/boost_multiprecision/tut/import_export.html index 88f13e1e6..08622b62c 100644 --- a/doc/html/boost_multiprecision/tut/import_export.html +++ b/doc/html/boost_multiprecision/tut/import_export.html @@ -3,7 +3,7 @@ Importing and Exporting Data to and from cpp_int and cpp_bin_float - + @@ -137,7 +137,7 @@

    Note that this function is optimized for the case where the data can be memcpyed from the source - to the integer - in this case both iterators much be pointers, and everything + to the integer - in this case both iterators must be pointers, and everything must be little-endian.

    @@ -161,7 +161,7 @@
    using boost::multiprecision::cpp_int; // Create a cpp_int with just a couple of bits set: cpp_int i; - bit_set(i, 5000); // set the 5000'th bit + bit_set(i, 5000); // set the 5000th bit bit_set(i, 200); bit_set(i, 50); // export into 8-bit unsigned values, most significant bit first: @@ -206,8 +206,9 @@
    }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/input_output.html b/doc/html/boost_multiprecision/tut/input_output.html index 5d8145eed..b8badaa14 100644 --- a/doc/html/boost_multiprecision/tut/input_output.html +++ b/doc/html/boost_multiprecision/tut/input_output.html @@ -3,7 +3,7 @@ Input Output - + @@ -76,9 +76,9 @@

    The test at test_cpp_bin_float_io.cpp allows any floating-point type to be round_tripped using - a wide range of fairly random values. It also includes tests compared a collection - of stringdata test cases - in a file. + a wide range of fairly random values. It also includes tests comparing a + collection of stringdata + test cases in a file.

    @@ -154,7 +154,7 @@
    Confusingly, Microsoft (and MinGW) do not conform to this standard and provide at least three digits, for example 1e+001. So if you want the output to match that from fundamental - (built-in) floating-point types on compilers that use Microsofts + (built-in) floating-point types on compilers that use Microsoft's runtime then use: 

    #define BOOST_MP_MIN_EXPONENT_DIGITS 3
@@ -173,8 +173,9 @@ 
    
         columns line up.
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/interval.html b/doc/html/boost_multiprecision/tut/interval.html index 5ec80339d..c9182eaf7 100644 --- a/doc/html/boost_multiprecision/tut/interval.html +++ b/doc/html/boost_multiprecision/tut/interval.html @@ -3,7 +3,7 @@ Interval Number Types - + @@ -29,14 +29,12 @@
    mpfi_float

    - There is one currently only one interval number type supported - MPFI. -

    -

    - [section:mpfi mpfi_float] + There is currently only one interval number type supported - MPFI.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/interval/mpfi.html b/doc/html/boost_multiprecision/tut/interval/mpfi.html index b12437458..82ac58e71 100644 --- a/doc/html/boost_multiprecision/tut/interval/mpfi.html +++ b/doc/html/boost_multiprecision/tut/interval/mpfi.html @@ -3,7 +3,7 @@ mpfi_float - + @@ -47,7 +47,7 @@ The mpfi_float_backend type is used in conjunction with number: It acts as a thin wrapper around the MPFI - mpfi_t to provide an real-number + mpfi_t to provide a real-number type that is a drop-in replacement for the native C++ floating-point types, but with much greater precision and implementing interval arithmetic.

    @@ -59,7 +59,7 @@ mpfi_float_500, mpfi_float_1000 provide arithmetic types at 50, 100, 500 and 1000 decimal digits precision respectively. The typedef mpfi_float provides a variable precision type whose precision can be controlled via - theF numbers member functions. + the numbers member functions.

    @@ -114,7 +114,7 @@ or GMP code.
  • - The code can equally use MPIR + The code can equally use MPIR in place of GMP - indeed that is the preferred option on Win32.
    • @@ -273,8 +273,9 @@
    } -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints.html b/doc/html/boost_multiprecision/tut/ints.html index d450ac86f..0270a8c38 100644 --- a/doc/html/boost_multiprecision/tut/ints.html +++ b/doc/html/boost_multiprecision/tut/ints.html @@ -3,7 +3,7 @@ Integer Types - + @@ -185,8 +185,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/cpp_int.html b/doc/html/boost_multiprecision/tut/ints/cpp_int.html index 9a3b71f34..160840590 100644 --- a/doc/html/boost_multiprecision/tut/ints/cpp_int.html +++ b/doc/html/boost_multiprecision/tut/ints/cpp_int.html @@ -3,7 +3,7 @@ cpp_int - + @@ -180,7 +180,7 @@

    - Performs arithmetic modulo 2MaxBits + Performs arithmetic modulo 2MaxBits.

    @@ -207,7 +207,7 @@

    - Unsigned subtraction yielding a negative value. + Unsigned subtraction yielding a negative value

    @@ -225,7 +225,7 @@

    - Attempting a bitwise operation on a negative value. + Attempting a bitwise operation on a negative value

    @@ -277,21 +277,21 @@
  • The type uses a sign-magnitude representation internally, so type int128_t has 128-bits - of precision plus an extra sign bit. In this respect the behaviour - of these types differs from fundamental - (built-in) 2's complement types. In might be tempting to use - a 127-bit type instead, and indeed this does work, but behaviour is - still slightly different from a 2's complement fundamental + of precision plus an extra sign bit. In this respect the behaviours + of these types differ from fundamental + (built-in) 2's complement types. It might be tempting to use + a 127-bit type instead, and indeed this does work, but the behaviour + is still slightly different from a 2's complement fundamental (built-in) type as the minimum and maximum values are identical - (apart from the sign), where as they differ by one for a true 2's complement - type. That said it should be noted that there's no requirement for - fundamental_types to be 2's complement either - it's simply that this - is the most common format by far. + (apart from the sign), whereas they differ by one for a true 2's complement + type. It should be noted that there is a requirement for fundamental + (built-in) types to be 2's complement as of C++20, so this + is a slight difference regarding internal representation.
  • Attempting to print negative values as either an Octal or Hexadecimal string results in a std::runtime_error - being thrown, this is a direct consequence of the sign-magnitude representation. + being thrown. This is a direct consequence of the sign-magnitude representation.
  • The fixed precision types [checked_][u]intXXX_t have expression template @@ -345,7 +345,7 @@ implementation where it is just a thin wrapper around a single integer. Note that it will still be slightly slower than a bare native integer, as it emulates a signed-magnitude representation rather than simply - using the platforms native sign representation: this ensures there + using the platform's native sign representation: this ensures there is no step change in behavior as a cpp_int grows in size.
  • @@ -415,8 +415,9 @@
    }
    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/egs.html b/doc/html/boost_multiprecision/tut/ints/egs.html index 9a85fee91..729015c16 100644 --- a/doc/html/boost_multiprecision/tut/ints/egs.html +++ b/doc/html/boost_multiprecision/tut/ints/egs.html @@ -3,7 +3,7 @@ Examples - + @@ -32,8 +32,9 @@
    Bit Operations
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/egs/bitops.html b/doc/html/boost_multiprecision/tut/ints/egs/bitops.html index cd67f6d13..18228988c 100644 --- a/doc/html/boost_multiprecision/tut/ints/egs/bitops.html +++ b/doc/html/boost_multiprecision/tut/ints/egs/bitops.html @@ -3,7 +3,7 @@ Bit Operations - + @@ -80,8 +80,9 @@ 
    BOOST_MP_ASSERT(!bit_flip(++b1(200), 200));   // OK
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/egs/factorials.html b/doc/html/boost_multiprecision/tut/ints/egs/factorials.html index 057523d19..8ce5787d2 100644 --- a/doc/html/boost_multiprecision/tut/ints/egs/factorials.html +++ b/doc/html/boost_multiprecision/tut/ints/egs/factorials.html @@ -3,7 +3,7 @@ Factorials - + @@ -66,12 +66,12 @@ factorial *= i; } // - // Lets see how many digits the largest factorial was: + // Let's see how many digits the largest factorial was: unsigned digits = results.back().str().size(); // // Now print them out, using right justification, while we're at it // we'll indicate the limit of each integer type, so begin by defining - // the limits for 16, 32, 64 etc bit integers: + // the limits for 16, 32, 64 etc. bit integers: cpp_int limits[] = { (cpp_int(1) << 16) - 1, (cpp_int(1) << 32) - 1, @@ -134,8 +134,9 @@ 295232799039604140847618609643520000000
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/gmp_int.html b/doc/html/boost_multiprecision/tut/ints/gmp_int.html index 86e5add79..47ff58acc 100644 --- a/doc/html/boost_multiprecision/tut/ints/gmp_int.html +++ b/doc/html/boost_multiprecision/tut/ints/gmp_int.html @@ -3,7 +3,7 @@ gmp_int - + @@ -82,8 +82,8 @@ Formatted IO for this type does not support octal or hexadecimal notation for negative values, as a result performing formatted output on this type when the argument is negative and either of the flags std::ios_base::oct or std::ios_base::hex - are set, will result in a std::runtime_error - will be thrown. + are set will result in a std::runtime_error + being thrown.
  • Conversion from a string results in a std::runtime_error @@ -95,9 +95,9 @@
  • Although this type is a wrapper around GMP - it will work equally well with MPIR. - Indeed use of MPIR is recommended - on Win32. + it will work equally well with MPIR. + Indeed use of MPIR + is recommended on Win32.
  • This backend supports rvalue-references and is move-aware, making instantiations @@ -133,8 +133,9 @@
    }
    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/ints/tom_int.html b/doc/html/boost_multiprecision/tut/ints/tom_int.html index 58c760c19..63b6c5ab9 100644 --- a/doc/html/boost_multiprecision/tut/ints/tom_int.html +++ b/doc/html/boost_multiprecision/tut/ints/tom_int.html @@ -3,7 +3,7 @@ tom_int - + @@ -68,9 +68,9 @@
  • Formatted IO for this type does not support octal or hexadecimal notation for negative values, as a result performing formatted output on this - type when the argument is negative and either of the flags std::ios_base::oct or std::ios_base::hex - are set, will result in a std::runtime_error - will be thrown. + type when the argument is negative and either of the flags std::ios_base::oct and std::ios_base::hex + is set will result in a std::runtime_error + being thrown.
  • Conversion from a string results in a std::runtime_error @@ -121,8 +121,9 @@
    }
    • -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/limits.html b/doc/html/boost_multiprecision/tut/limits.html index c8e62b3ec..88065b1a0 100644 --- a/doc/html/boost_multiprecision/tut/limits.html +++ b/doc/html/boost_multiprecision/tut/limits.html @@ -3,7 +3,7 @@ Numeric Limits - + @@ -78,15 +78,16 @@ Warning

    - GMP's extendable floatin-point mpf_t + GMP's extendable floating-point mpf_t does not have a concept of overflow: operations that lead to overflow eventually run of out of resources and terminate with stack overflow (often after several seconds).

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/limits/constants.html b/doc/html/boost_multiprecision/tut/limits/constants.html index bfc913bb3..3ee4d18c6 100644 --- a/doc/html/boost_multiprecision/tut/limits/constants.html +++ b/doc/html/boost_multiprecision/tut/limits/constants.html @@ -3,7 +3,7 @@ std::numeric_limits<> constants - + @@ -157,7 +157,7 @@
    as an integer result.

    - There are number of proposals to add + There are various proposals to add Decimal floating-point Support to C++.

    @@ -222,8 +222,8 @@

    Boost.Multiprecision integer type cpp_int - is not modulo because as an __arbitrary_precision types, it expands to - hold any value that the machine resources permit. + is not modulo because as an __arbitrary_precision type, it expands to hold + any value that the machine resources permit.

    However fixed precision cpp_int's @@ -254,7 +254,7 @@

    The number of radix digits - that be represented without change: + that can be represented without change:

    • @@ -267,9 +267,9 @@

    - The values include any implicit bit, so for example, for the ubiquious + The values include any implicit bit, so for example, for the ubiquitous double using 64 bits (IEEE - binary64 ), digits + binary64), digits == 53, even though there are only 52 actual bits of the significand stored in the representation. The value of digits reflects the fact that there is one implicit bit which is always set to @@ -427,7 +427,7 @@ 

    double write = 2./3; // Any arbitrary value that cannot be represented exactly.
 double read = 0;
 std::stringstream s;
-s.precision(std::numeric_limits<double>::digits10); // or `float64_t` for 64-bit IEE754 double.
+s.precision(std::numeric_limits<double>::digits10); // or `float64_t` for 64-bit IEEE 754 double.
 s << write;
 s >> read;
 if(read != write)
@@ -452,7 +452,7 @@ 
    
           will display π to the maximum possible precision using a double.
         
    
 
    
-          and similarly for a much higher precision type:
+          And similarly for a much higher precision type:
         
    
 
    using namespace boost::multiprecision;
 
@@ -522,9 +522,9 @@ 
    
             and Writing of Floating-Point Numbers, Aubrey Jaffer (August 2018).
           
    
 
    
-            Microsoft VS2017 and other recent compilers, now use the Ryu
+            Microsoft VS2017 and other recent compilers now use the Ryu
             fast float-to-string conversion by Ulf Adams algorithm, claimed
-            to be both exact and fast for 32 and 64-bit floating-point numbers.
+            to be both exact and fast for 32- and 64-bit floating-point numbers.
    @@ -613,7 +613,7 @@
    • std::denorm_absent, if it does not allow - denormalized values. (Always used for all integer and exact types). + denormalized values. (Always used for all integer and exact types.)
    • std::denorm_present, if the floating-point @@ -634,12 +634,13 @@

      true if a type can determine - that a value is too small to be represent as a normalized value before + that a value is too small to be represented as a normalized value before rounding it.

      Generally true for is_iec559 - floating-point __fundamantal types, but false for integer types. + floating-point fundamental + (built-in) types, but false for integer types.

      Standard-compliant IEEE 754 floating-point implementations may detect the @@ -663,8 +664,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/limits/functions.html b/doc/html/boost_multiprecision/tut/limits/functions.html index 7cc517e45..29fa5f9fa 100644 --- a/doc/html/boost_multiprecision/tut/limits/functions.html +++ b/doc/html/boost_multiprecision/tut/limits/functions.html @@ -3,7 +3,7 @@ std::numeric_limits<> functions - + @@ -345,7 +345,7 @@

    (There is also a version BOOST_CHECK_CLOSE using tolerance as a percentage rather than a fraction; usually the fraction - version is simpler to use). + version is simpler to use.) 

    using boost::multiprecision::number;
 using boost::multiprecision::cpp_dec_float;
@@ -390,8 +390,8 @@ 
    
           floating-point types.
         
    
 
    
-          Confusingly, the string resulting from outputting this representation,
-          is also implementation-defined. And the string that can be input to generate
+          Confusingly, the string resulting from outputting this representation is
+          also implementation-defined. And the string that can be input to generate
           the representation is also implementation-defined.
         
    
 
    
@@ -406,7 +406,7 @@ 
    
           work hard to provide a sensible representation for all
           floating-point types, not just the fundamental
           (built-in) types, which with the use of suitable facets to define
-          the input and output strings, makes it possible to use these useful features
+          the input and output strings makes it possible to use these useful features
           portably and including Boost.Serialization.
         
    
 
    
@@ -430,12 +430,12 @@ 
    
           A typical example is 0/0 but there are many others.
         
    
 
    
-          NaNs may also be used, to represent missing values: for example, these
-          could, by convention, be ignored in calculations of statistics like means.
+          NaNs may also be used to represent missing values: for example, these could,
+          by convention, be ignored in calculations of statistics like means.
         
    
 
    
           Many of the problems with a representation for Not-A-Number
-          has hampered portable use, similar to those with infinity.
+          have hampered portable use, similar to those with infinity.
         
    
 
    
           NaN can be used with binary multiprecision types like cpp_bin_float_quad:
@@ -449,7 +449,7 @@ 
    
 
   cpp_bin_float_quad expected = NaN;
   cpp_bin_float_quad calculated = 2 * NaN;
-  // Comparisons of NaN's always fail:
+  // Comparisons of NaNs always fail:
   bool b = expected == calculated;
   std::cout << b << std::endl;
   BOOST_CHECK_NE(expected, expected);
@@ -500,7 +500,7 @@

    Similarly we can do the same with NaN (except that we cannot use assert (because any comparisons with - NaN always return false). + NaN always return false)). 

    {
   std::locale old_locale;
@@ -536,8 +536,9 @@ 
    
           and not only by using the value returned.
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/limits/how_to_tell.html b/doc/html/boost_multiprecision/tut/limits/how_to_tell.html index dc6973993..b3cbbcd6c 100644 --- a/doc/html/boost_multiprecision/tut/limits/how_to_tell.html +++ b/doc/html/boost_multiprecision/tut/limits/how_to_tell.html @@ -3,7 +3,7 @@ How to Determine the Kind of a Number From std::numeric_limits - + @@ -153,8 +153,9 @@
    std::numeric_limits<typename T::value_type>.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/limits/limits32.html b/doc/html/boost_multiprecision/tut/limits/limits32.html index 157d808be..0499f8aa5 100644 --- a/doc/html/boost_multiprecision/tut/limits/limits32.html +++ b/doc/html/boost_multiprecision/tut/limits/limits32.html @@ -3,7 +3,7 @@ Numeric limits for 32-bit platform - + @@ -2034,8 +2034,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/lits.html b/doc/html/boost_multiprecision/tut/lits.html index 3c5d59285..ddfb4ab08 100644 --- a/doc/html/boost_multiprecision/tut/lits.html +++ b/doc/html/boost_multiprecision/tut/lits.html @@ -3,7 +3,7 @@ Literal Types and constexpr Support - + @@ -33,12 +33,12 @@

    • - The more basic version requires only C++11 and allow the construction + The more basic version requires only C++11 and allows the construction of some number types as literals.
    • The more advanced support permits constexpr arithmetic and requires at - least C++14 constexpr support, and for many operations C++2a support + least C++14 constexpr support, and for many operations C++2a support.
    @@ -55,7 +55,7 @@
    (which requires GCC), and
  • - Instantiations of cpp_int_backend + instantiations of cpp_int_backend where the Allocator parameter is type void. In addition, prior to C++14 the Checked parameter must be boost::multiprecision::unchecked.
    • @@ -240,10 +240,10 @@

    See compiler - support for std::is_constant_evaluated; + support for std::is_constant_evaluated.

    - For example given: + For example, given 

    #include <boost/math/constants/constants.hpp> // For constant pi with full precision of type T.
 // using  boost::math::constants::pi;
@@ -261,7 +261,7 @@ 
    
 }

    - We can now calculate areas and circumferences, using all compile-time constexpr arithmetic: + we can now calculate areas and circumferences, using all compile-time constexpr arithmetic: 

    using boost::multiprecision::float128;
 
@@ -444,8 +444,9 @@ 
    
         generation section.
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/misc.html b/doc/html/boost_multiprecision/tut/misc.html index 13824cbba..3a1dc79d8 100644 --- a/doc/html/boost_multiprecision/tut/misc.html +++ b/doc/html/boost_multiprecision/tut/misc.html @@ -3,7 +3,7 @@ Miscellaneous Number Types. - + @@ -30,15 +30,14 @@
    logged_adaptor
    debug_adaptor
    -
    Visual C++ - Debugger Visualizers

    Backend types listed in this section are predominantly designed to aid debugging.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/misc/debug_adaptor.html b/doc/html/boost_multiprecision/tut/misc/debug_adaptor.html index a629ff1aa..2be078f78 100644 --- a/doc/html/boost_multiprecision/tut/misc/debug_adaptor.html +++ b/doc/html/boost_multiprecision/tut/misc/debug_adaptor.html @@ -3,11 +3,11 @@ debug_adaptor - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -62,18 +62,7 @@ statements.

    - When used in conjunction with the Visual C++ debugger visualisers, the - value of a multiprecision type that uses this backend is displayed in the - debugger just a fundamental - (built-in) value would be, here we're inspecting a value of type - number<debug_adaptor<cpp_dec_float<50> > - >: -

    -

    - -

    -

    - Otherwise you will need to expand out the view and look at the "debug_value" + You will need to expand out the view and look at the "debug_value" member:

    @@ -89,7 +78,7 @@

    The template alias debug_adaptor_t - is used as a shortcut for converting some other number type to it's debugged + is used as a shortcut for converting some other number type to its debugged equivalent, for example: 

    using mpfr_float_debug = debug_adaptor_t<mpfr_float>;
@@ -99,15 +88,16 @@
           to be the debugged equivalent of mpfr_float.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/misc/logged_adaptor.html b/doc/html/boost_multiprecision/tut/misc/logged_adaptor.html index 0643c94b3..9f7716c8e 100644 --- a/doc/html/boost_multiprecision/tut/misc/logged_adaptor.html +++ b/doc/html/boost_multiprecision/tut/misc/logged_adaptor.html @@ -3,7 +3,7 @@ logged_adaptor - + @@ -86,7 +86,7 @@

    Template alias logged_adaptor_t can be used as a shortcut for converting some instantiation of number<> - to it's logged euqivalent. + to its logged equivalent.

    This type is particularly useful when combined with an interval number @@ -216,8 +216,9 @@ Final value was: {1e-14,1e-14}

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/mixed.html b/doc/html/boost_multiprecision/tut/mixed.html index 892ba3f66..3e0429e47 100644 --- a/doc/html/boost_multiprecision/tut/mixed.html +++ b/doc/html/boost_multiprecision/tut/mixed.html @@ -3,7 +3,7 @@ Mixed Precision Arithmetic - + @@ -197,7 +197,7 @@

    In addition, while this feature can be used with expression templates turned off, this feature minimises temporaries and hence memory allocations when - expression template are turned on. + expression templates are turned on.

    By way of an example, consider the dot product of two vectors of cpp_int's, @@ -442,7 +442,7 @@

    [1] Here everything fits within cpp_int's - default internal cache, so no allocation are required. + default internal cache, so no allocation is required.

    [2] A single allocation for the return value. @@ -627,7 +627,7 @@

    As you can see, there is a sweet spot for middling-sized integers where we gain: if the values are small, then cpp_int's - own internal cache is large enough anyway, and no allocation occur. Conversely, + own internal cache is large enough anyway, and no allocation occurs. Conversely, if the values are sufficiently large, then the cost of the actual arithmetic dwarfs the memory allocation time. In this particular case, carefully writing the code (version 3) is clearly at least as good as using a separate type @@ -636,7 +636,7 @@

    case.

    - A typical example where we can't rewrite our code to avoid unnecessary allocations, + A typical example where we can't rewrite our code to avoid unnecessary allocations occurs when we're calling an external routine. For example the arc length of an ellipse with radii a and b is given by: @@ -824,7 +824,7 @@

    The following backends have at least some direct support for mixed-precision arithmetic, and therefore avoid creating unnecessary temporaries when using the interfaces above. Therefore when using these types it's more efficient - to use mixed-precision arithmetic, than it is to explicitly cast the operands + to use mixed-precision arithmetic than it is to explicitly cast the operands to the result type:

    @@ -833,8 +833,9 @@

    cpp_int.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/new_backend.html b/doc/html/boost_multiprecision/tut/new_backend.html index b819fa3bb..f546c351d 100644 --- a/doc/html/boost_multiprecision/tut/new_backend.html +++ b/doc/html/boost_multiprecision/tut/new_backend.html @@ -3,7 +3,7 @@ Writing a New Backend - + @@ -199,8 +199,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/primetest.html b/doc/html/boost_multiprecision/tut/primetest.html index b99a68a62..0890d8226 100644 --- a/doc/html/boost_multiprecision/tut/primetest.html +++ b/doc/html/boost_multiprecision/tut/primetest.html @@ -3,7 +3,7 @@ Primality Testing - + @@ -102,8 +102,9 @@ }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/random.html b/doc/html/boost_multiprecision/tut/random.html index a245430ae..4f46cb6e6 100644 --- a/doc/html/boost_multiprecision/tut/random.html +++ b/doc/html/boost_multiprecision/tut/random.html @@ -3,7 +3,7 @@ Generating Random Numbers - + @@ -34,7 +34,7 @@ There is a single generator that supports generating random integers with large bit counts: independent_bits_engine. This type can be used with either unbounded integer types, or - with bounded (ie fixed precision) unsigned integers: + with bounded (i.e. fixed precision) unsigned integers: 

    #include <boost/multiprecision/cpp_int.hpp>
 #include <boost/random.hpp>
@@ -154,7 +154,7 @@
         types.
       
    
 
    
-        floating-point values in [0,1) are most easily generated using generate_canonical, note that
+        Floating-point values in [0,1) are most easily generated using generate_canonical, note that
         generate_canonical will call
         the generator multiple times to produce the requested number of bits, for
         example we can use it with a regular generator like so:
@@ -205,7 +205,7 @@
         Note however, the distributions do not invoke the generator multiple times
         to fill up the mantissa of a multiprecision floating-point type with random
         bits. For these therefore, we should probably use a multiprecision generator
-        (ie independent_bits_engine)
+        (i.e. independent_bits_engine)
         in combination with the distribution:
       
    
 
    #include <boost/multiprecision/cpp_bin_float.hpp>
@@ -217,7 +217,7 @@
    using namespace boost::multiprecision;
    using namespace boost::random;
    //
-   // Generate some distruted values:
+   // Generate some distributed values:
    //
    uniform_real_distribution<cpp_bin_float_50> ur(-20, 20);
    gamma_distribution<cpp_bin_float_50> gd(20);
@@ -280,7 +280,7 @@
 
    
         And finally, it is possible to use the floating-point generators lagged_fibonacci_01_engine and
         subtract_with_carry_01_engine directly
-        with multiprecision floating-point types. It's worth noting however, that
+        with multiprecision floating-point types. It's worth noting, however, that
         there is a distinct lack of literature on generating high bit-count random
         numbers, and therefore a lack of "known good" parameters to use
         with these generators in this situation. For this reason, these should probably
@@ -298,7 +298,7 @@
    // Generate some multiprecision values, note that the generator is so large
    // that we have to allocate it on the heap, otherwise we may run out of
    // stack space!  We could avoid this by using a floating point type which
-   // allocates it's internal storage on the heap - cpp_bin_float will do
+   // allocates its internal storage on the heap - cpp_bin_float will do
    // this with the correct template parameters, as will the GMP or MPFR
    // based reals.
    //
@@ -323,8 +323,9 @@
 }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/rational.html b/doc/html/boost_multiprecision/tut/rational.html index 58fb30911..7e560d5e3 100644 --- a/doc/html/boost_multiprecision/tut/rational.html +++ b/doc/html/boost_multiprecision/tut/rational.html @@ -3,7 +3,7 @@ Rational Number Types - + @@ -31,7 +31,6 @@
    cpp_rational
    gmp_rational
    tommath_rational
    -
    tommath_rational
    rational_adaptor

    @@ -232,7 +231,7 @@

    - A C++ rational number type that can used with any number integer type. + A C++ rational number type that can be used with any number integer type.

    @@ -246,8 +245,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/rational/cpp_rational.html b/doc/html/boost_multiprecision/tut/rational/cpp_rational.html index fd5384f99..ae8a5463f 100644 --- a/doc/html/boost_multiprecision/tut/rational/cpp_rational.html +++ b/doc/html/boost_multiprecision/tut/rational/cpp_rational.html @@ -3,7 +3,7 @@ cpp_rational - + @@ -108,8 +108,9 @@
    }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/rational/gmp_rational.html b/doc/html/boost_multiprecision/tut/rational/gmp_rational.html index 47c880010..e6b6d9c9c 100644 --- a/doc/html/boost_multiprecision/tut/rational/gmp_rational.html +++ b/doc/html/boost_multiprecision/tut/rational/gmp_rational.html @@ -3,7 +3,7 @@ gmp_rational - + @@ -101,7 +101,7 @@ GMP code.
  • - The code can equally be used with MPIR + The code can equally be used with MPIR as the underlying library - indeed that is the preferred option on Win32.
    • @@ -111,7 +111,6 @@
    Example: 
    #include <boost/multiprecision/gmp.hpp>
-#include <boost/multiprecision/gmp.hpp>
 #include <iostream>
 
 int main()
@@ -141,8 +140,9 @@ 
    
 }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/rational/rational_adaptor.html b/doc/html/boost_multiprecision/tut/rational/rational_adaptor.html index f22a230ec..59c69282a 100644 --- a/doc/html/boost_multiprecision/tut/rational/rational_adaptor.html +++ b/doc/html/boost_multiprecision/tut/rational/rational_adaptor.html @@ -3,10 +3,10 @@ rational_adaptor - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -52,15 +52,16 @@ assert(i == 2);

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/rational/tommath_rational.html b/doc/html/boost_multiprecision/tut/rational/tommath_rational.html index b005f2e19..8363ce572 100644 --- a/doc/html/boost_multiprecision/tut/rational/tommath_rational.html +++ b/doc/html/boost_multiprecision/tut/rational/tommath_rational.html @@ -3,11 +3,11 @@ tommath_rational - + - + @@ -21,7 +21,7 @@
    -PrevUpHomeNext +PrevUpHomeNext

    @@ -45,7 +45,7 @@ precision.

    - The advantage of using this type rather than boost::rational<tom_int> directly, is that it is expression-template + The advantage of using this type rather than boost::rational<tom_int> directly is that it is expression-template enabled, greatly reducing the number of temporaries created in complex expressions.

    @@ -64,7 +64,7 @@
    • Default constructed tom_rationals - have the value zero (this the inherited Boost.Rational behavior). + have the value zero (this is the inherited Boost.Rational behavior).
    • Division by zero results in a std::overflow_error @@ -81,7 +81,7 @@ code.
    • - Performance of this type has been found to be pretty poor - this need + Performance of this type has been found to be pretty poor - this needs further investigation - but it appears that Boost.Rational needs some improvement in this area.
      • @@ -115,15 +115,16 @@
      }
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/boost_multiprecision/tut/rounding.html b/doc/html/boost_multiprecision/tut/rounding.html index eed274a02..cbb23905f 100644 --- a/doc/html/boost_multiprecision/tut/rounding.html +++ b/doc/html/boost_multiprecision/tut/rounding.html @@ -3,7 +3,7 @@ Rounding Rules for Conversions - + @@ -176,8 +176,9 @@

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/serial.html b/doc/html/boost_multiprecision/tut/serial.html index 74b5a59e3..3c83ad95e 100644 --- a/doc/html/boost_multiprecision/tut/serial.html +++ b/doc/html/boost_multiprecision/tut/serial.html @@ -3,7 +3,7 @@ Boost.Serialization Support - + @@ -49,8 +49,9 @@
    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/boost_multiprecision/tut/variable.html b/doc/html/boost_multiprecision/tut/variable.html index b71701f50..3af1fef5f 100644 --- a/doc/html/boost_multiprecision/tut/variable.html +++ b/doc/html/boost_multiprecision/tut/variable.html @@ -3,7 +3,7 @@ Variable Precision Arithmetic - + @@ -282,7 +282,7 @@ of the target variable upon assignment. The precision of other types (including related or component types - see preserve_component_precision/preserve_related_precision) contained within the expression are ignored. This option has the - unfortunate side effect, that moves may become full deep copies. + unfortunate side effect that moves may become full deep copies.

    @@ -298,7 +298,7 @@ variable within the expression, and that precision is preserved upon assignment. The precision of other types (including related or component types - see preserve_component_precision/preserve_related_precision) - contained within the expression are ignored. Moves, are true moves + contained within the expression are ignored. Moves are true moves, not copies.

    @@ -318,7 +318,7 @@ expression. Component types are the types which make up the two components of the number when dealing with interval or complex numbers. They are the same type as Num::value_type. - Moves, are true moves not copies. + Moves are true moves, not copies.

    @@ -342,7 +342,7 @@ and all expressions containing an mpfr_float_100 variable would have at least 100 decimal digits of precision when evaluated as an mpfr_float - expression. Moves, are true moves not copies. + expression. Moves are true moves, not copies.

    @@ -362,7 +362,7 @@ then the precision of the expression will be sufficient to store all of the digits in the integer unchanged. This option should generally be used with extreme caution, as it can easily cause - unintentional precision inflation. Moves, are true moves not copies. + unintentional precision inflation. Moves are true moves, not copies.

    @@ -416,7 +416,7 @@

    - Also considers component types, ie Num::value_type. + Also considers component types, i.e. Num::value_type.

    @@ -570,7 +570,7 @@

    Our first example will investigate calculating the Bessel J function via - it's well known series representation: + its well known series representation:

    @@ -578,7 +578,7 @@

    This simple series suffers from catastrophic cancellation error near the roots of the function, so we'll investigate slowly increasing the precision - of the calculation until we get the result to N-decimal places. We'll begin + of the calculation until we get the result to N decimal places. We'll begin by defining a function to calculate the series for Bessel J, the details of which we'll leave in the source code:

    @@ -680,11 +680,11 @@
    } // // We now have an accurate result, but it may have too many digits, - // so lets round the result to the requested precision now: + // so let's round the result to the requested precision now: // result.precision(saved_digits10); // - // To maintain uniform precision during function return, lets + // To maintain uniform precision during function return, let's // reset the default precision now: // scoped.reset(saved_digits10); @@ -696,7 +696,7 @@
    the unwary here, when the function returns the variable may be copied/moved either once or twice depending on whether the compiler implements the named-return-value optimisation. And since this all happens outside the scope of this function, - the precision of the returned value may get unexpected changed - and potentially + the precision of the returned value may get unexpectedly changed - and potentially with different behaviour once optimisations are turned on!

    @@ -846,7 +846,7 @@

    scope_2.reset(boost::multiprecision::variable_precision_options::preserve_target_precision); mp_t result = reduced; // - // As with previous examples, returning the result may create temporaries, so lets + // As with previous examples, returning the result may create temporaries, so let's // make sure that we preserve the precision of result. Note that this isn't strictly // required if the calling context is always of uniform precision, but we can't be sure // of our calling context: @@ -900,8 +900,9 @@
    precision to store i unchanged.

    -
    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

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

    diff --git a/doc/html/index.html b/doc/html/index.html index 1da7801ed..782f722d6 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -3,7 +3,7 @@ Chapter 1. Boost.Multiprecision - + @@ -24,13 +24,26 @@

    Chapter 1. Boost.Multiprecision

    -John Maddock +Matthew Borland +

    +

    +Paul A. Bristow

    Christopher Kormanyos

    -

    Copyright © 2002-2020 John - Maddock and Christopher Kormanyos

    +

    +Janek Kozicki +

    +

    +John Maddock +

    +

    +Fahad Syed +

    +

    Copyright © 2002-2025 Matthew + Borland, Paul A. Bristow, Christopher Kormanyos, Janek Kozicki, John Maddock + and Fahad Syed

    Distributed under the Boost Software License, Version 1.0. (See accompanying @@ -62,6 +75,7 @@

    gmp_float
    mpfr_float
    float128
    +
    cpp_double_fp_backend
    Examples
    Construction @@ -71,7 +85,7 @@
    Drop-in Caveats
    Defining - a Special Function.
    + a Special Function
    Calculating a Derivative
    Calculating @@ -98,15 +112,12 @@
    cpp_rational
    gmp_rational
    tommath_rational
    -
    tommath_rational
    rational_adaptor
    Miscellaneous Number Types.
    logged_adaptor
    debug_adaptor
    -
    Visual C++ - Debugger Visualizers
    Forward Declarations
    Constructing and @@ -150,6 +161,7 @@
    mpfr_float_backend
    cpp_bin_float
    cpp_dec_float
    +
    cpp_double_fp_backend
    Internal Support Code
    Backend Requirements
    diff --git a/doc/html/standalone_HTML.manifest b/doc/html/standalone_HTML.manifest index 750db3bd7..c65917f82 100644 --- a/doc/html/standalone_HTML.manifest +++ b/doc/html/standalone_HTML.manifest @@ -14,6 +14,7 @@ boost_multiprecision/tut/floats/cpp_dec_float.html boost_multiprecision/tut/floats/gmp_float.html boost_multiprecision/tut/floats/mpfr_float.html boost_multiprecision/tut/floats/float128.html +boost_multiprecision/tut/floats/cpp_double_fp_backend.html boost_multiprecision/tut/floats/fp_eg.html boost_multiprecision/tut/floats/fp_eg/floatbuiltinctor.html boost_multiprecision/tut/floats/fp_eg/aos.html @@ -35,12 +36,10 @@ boost_multiprecision/tut/rational.html boost_multiprecision/tut/rational/cpp_rational.html boost_multiprecision/tut/rational/gmp_rational.html boost_multiprecision/tut/rational/tommath_rational.html -boost_multiprecision/tut/rational/tommath_rational0.html boost_multiprecision/tut/rational/rational_adaptor.html boost_multiprecision/tut/misc.html boost_multiprecision/tut/misc/logged_adaptor.html boost_multiprecision/tut/misc/debug_adaptor.html -boost_multiprecision/tut/misc/visualizers.html boost_multiprecision/tut/fwd.html boost_multiprecision/tut/conversions.html boost_multiprecision/tut/random.html @@ -70,6 +69,7 @@ boost_multiprecision/ref/mpf_ref.html boost_multiprecision/ref/mpfr_ref.html boost_multiprecision/ref/cpp_bin_float_ref.html boost_multiprecision/ref/cpp_dec_ref.html +boost_multiprecision/ref/cpp_double_fp_ref.html boost_multiprecision/ref/internals.html boost_multiprecision/ref/backendconc.html boost_multiprecision/ref/headers.html diff --git a/doc/tutorial_interval_mpfi.qbk b/doc/tutorial_interval_mpfi.qbk index 7fb9a06c6..1d90c1b98 100644 --- a/doc/tutorial_interval_mpfi.qbk +++ b/doc/tutorial_interval_mpfi.qbk @@ -141,7 +141,7 @@ Returns `true` if `lower(a) == upper(a)`. [mpfi_eg] -[endsect] [section:mpfi mpfi_float] +[endsect] [/section:mpfi mpfi_float] [endsect] [/section:interval Interval Number Types]