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git.proxmox.com Git - ceph.git/blob - ceph/src/boost/libs/math/reporting/performance/test_kn.cpp
1 // Copyright John Maddock 2015.
2 // Use, modification and distribution are subject to the
3 // Boost Software License, Version 1.0. (See accompanying file
4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
7 # pragma warning (disable : 4224)
10 #include <boost/math/special_functions/bessel.hpp>
11 #include <boost/array.hpp>
12 #include <boost/lexical_cast.hpp>
13 #include "../../test/table_type.hpp"
14 #include "table_helper.hpp"
15 #include "performance.hpp"
19 #define SC_(x) static_cast<double>(x)
20 static const std :: array
< std :: array
< T
, 3 >, 9 > k0_data
= { {
21 { { SC_ ( 0.0 ), SC_ ( 1.0 ), SC_ ( 0.421024438240708333335627379212609036136219748226660472298970 ) } },
22 { { SC_ ( 0.0 ), SC_ ( 2.0 ), SC_ ( 0.113893872749533435652719574932481832998326624388808882892530 ) } },
23 { { SC_ ( 0.0 ), SC_ ( 4.0 ), SC_ ( 0.0111596760858530242697451959798334892250090238884743405382553 ) } },
24 { { SC_ ( 0.0 ), SC_ ( 8.0 ), SC_ ( 0.000146470705222815387096584408698677921967305368833759024089154 ) } },
25 { { SC_ ( 0.0 ), T ( std :: ldexp ( 1.0 , - 15 )), SC_ ( 10.5131392267382037062459525561594822400447325776672021972753 ) } },
26 { { SC_ ( 0.0 ), T ( std :: ldexp ( 1.0 , - 30 )), SC_ ( 20.9103469324567717360787328239372191382743831365906131108531 ) } },
27 { { SC_ ( 0.0 ), T ( std :: ldexp ( 1.0 , - 60 )), SC_ ( 41.7047623492551310138446473188663682295952219631968830346918 ) } },
28 { { SC_ ( 0.0 ), SC_ ( 50.0 ), SC_ ( 3.41016774978949551392067551235295223184502537762334808993276e-23 ) } },
29 { { SC_ ( 0.0 ), SC_ ( 100.0 ), SC_ ( 4.65662822917590201893900528948388635580753948544211387402671e-45 ) } },
31 static const std :: array
< std :: array
< T
, 3 >, 9 > k1_data
= { {
32 { { SC_ ( 1.0 ), SC_ ( 1.0 ), SC_ ( 0.601907230197234574737540001535617339261586889968106456017768 ) } },
33 { { SC_ ( 1.0 ), SC_ ( 2.0 ), SC_ ( 0.139865881816522427284598807035411023887234584841515530384442 ) } },
34 { { SC_ ( 1.0 ), SC_ ( 4.0 ), SC_ ( 0.0124834988872684314703841799808060684838415849886258457917076 ) } },
35 { { SC_ ( 1.0 ), SC_ ( 8.0 ), SC_ ( 0.000155369211805001133916862450622474621117065122872616157079566 ) } },
36 { { SC_ ( 1.0 ), T ( std :: ldexp ( 1.0 , - 15 )), SC_ ( 32767.9998319528316432647441316539139725104728341577594326513 ) } },
37 { { SC_ ( 1.0 ), T ( std :: ldexp ( 1.0 , - 30 )), SC_ ( 1.07374182399999999003003028572687332810353799544215073362305 e9
) } },
38 { { SC_ ( 1.0 ), T ( std :: ldexp ( 1.0 , - 60 )), SC_ ( 1.15292150460684697599999999999999998169660198868126604634036 e18
) } },
39 { { SC_ ( 1.0 ), SC_ ( 50.0 ), SC_ ( 3.44410222671755561259185303591267155099677251348256880221927e-23 ) } },
40 { { SC_ ( 1.0 ), SC_ ( 100.0 ), SC_ ( 4.67985373563690928656254424202433530797494354694335352937465e-45 ) } },
42 static const std :: array
< std :: array
< T
, 3 >, 9 > kn_data
= { {
43 { { SC_ ( 2.0 ), T ( std :: ldexp ( 1.0 , - 30 )), SC_ ( 2.30584300921369395150000000000000000234841952009593636868109 e18
) } },
44 { { SC_ ( 5.0 ), SC_ ( 10.0 ), SC_ ( 0.0000575418499853122792763740236992723196597629124356739596921536 ) } },
45 { { SC_ (- 5.0 ), SC_ ( 100.0 ), SC_ ( 5.27325611329294989461777188449044716451716555009882448801072e-45 ) } },
46 { { SC_ ( 10.0 ), SC_ ( 10.0 ), SC_ ( 0.00161425530039067002345725193091329085443750382929208307802221 ) } },
47 { { SC_ ( 10.0 ), T ( std :: ldexp ( 1.0 , - 30 )), SC_ ( 3.78470202927236255215249281534478864916684072926050665209083 e98
) } },
48 { { SC_ (- 10.0 ), SC_ ( 1.0 ), SC_ ( 1.80713289901029454691597861302340015908245782948536080022119 e8
) } },
49 { { SC_ ( 100.0 ), SC_ ( 5.0 ), SC_ ( 7.03986019306167654653386616796116726248616158936088056952477 e115
) } },
50 { { SC_ ( 100.0 ), SC_ ( 80.0 ), SC_ ( 8.39287107246490782848985384895907681748152272748337807033319e-12 ) } },
51 { { SC_ (- 1000.0 ), SC_ ( 700.0 ), SC_ ( 6.51561979144735818903553852606383312984409361984128221539405e-31 ) } },
56 #include "bessel_k_int_data.ipp"
61 add_data ( bessel_k_int_data
);
63 unsigned data_total
= data
. size ();
65 screen_data ([]( const std :: vector
< double >& v
){ return boost :: math :: cyl_bessel_k ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); }, []( const std :: vector
< double >& v
){ return v
[ 2 ]; });
67 #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
68 screen_data ([]( const std :: vector
< double >& v
){ return std :: tr1 :: cyl_bessel_k ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); }, []( const std :: vector
< double >& v
){ return v
[ 2 ]; });
70 #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
71 screen_data ([]( const std :: vector
< double >& v
){ return gsl_sf_bessel_Kn ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); }, []( const std :: vector
< double >& v
){ return v
[ 2 ]; });
73 #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
74 screen_data ([]( const std :: vector
< double >& v
){ return bessel_k ( v
[ 1 ], static_cast < int >( v
[ 0 ]), 1 ); }, []( const std :: vector
< double >& v
){ return v
[ 2 ]; });
77 unsigned data_used
= data
. size ();
78 std :: string function
= "cyl_bessel_k (integer order)[br](" + boost :: lexical_cast
< std :: string
>( data_used
) + "/" + boost :: lexical_cast
< std :: string
>( data_total
) + " tests selected)" ;
79 std :: string function_short
= "cyl_bessel_k (integer order)" ;
83 time
= exec_timed_test ([]( const std :: vector
< double >& v
){ return boost :: math :: cyl_bessel_k ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); });
84 std :: cout
<< time
<< std :: endl
;
85 #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
86 report_execution_time ( time
, std :: string ( "Library Comparison with " ) + std :: string ( compiler_name ()) + std :: string ( " on " ) + platform_name (), function
, boost_name ());
88 report_execution_time ( time
, std :: string ( "Compiler Comparison on " ) + std :: string ( platform_name ()), function_short
, compiler_name () + std :: string ( "[br]" ) + boost_name ());
90 // Boost again, but with promotion to long double turned off:
92 #if !defined(COMPILER_COMPARISON_TABLES)
93 if ( sizeof ( long double ) != sizeof ( double ))
95 time
= exec_timed_test ([]( const std :: vector
< double >& v
){ return boost :: math :: cyl_bessel_k ( static_cast < int >( v
[ 0 ]), v
[ 1 ], boost :: math :: policies :: make_policy ( boost :: math :: policies :: promote_double
< false >())); });
96 std :: cout
<< time
<< std :: endl
;
97 #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
98 report_execution_time ( time
, std :: string ( "Library Comparison with " ) + std :: string ( compiler_name ()) + std :: string ( " on " ) + platform_name (), function
, boost_name () + "[br]promote_double<false>" );
100 report_execution_time ( time
, std :: string ( "Compiler Comparison on " ) + std :: string ( platform_name ()), function_short
, compiler_name () + std :: string ( "[br]" ) + boost_name () + "[br]promote_double<false>" );
105 #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
106 time
= exec_timed_test ([]( const std :: vector
< double >& v
){ return std :: tr1 :: cyl_bessel_k ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); });
107 std :: cout
<< time
<< std :: endl
;
108 report_execution_time ( time
, std :: string ( "Library Comparison with " ) + std :: string ( compiler_name ()) + std :: string ( " on " ) + platform_name (), function
, "tr1/cmath" );
110 #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
111 time
= exec_timed_test ([]( const std :: vector
< double >& v
){ return gsl_sf_bessel_Kn ( static_cast < int >( v
[ 0 ]), v
[ 1 ]); });
112 std :: cout
<< time
<< std :: endl
;
113 report_execution_time ( time
, std :: string ( "Library Comparison with " ) + std :: string ( compiler_name ()) + std :: string ( " on " ) + platform_name (), function
, "GSL " GSL_VERSION
);
115 #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
116 time
= exec_timed_test ([]( const std :: vector
< double >& v
){ return bessel_k ( v
[ 1 ], static_cast < int >( v
[ 0 ]), 1 ); });
117 std :: cout
<< time
<< std :: endl
;
118 report_execution_time ( time
, std :: string ( "Library Comparison with " ) + std :: string ( compiler_name ()) + std :: string ( " on " ) + platform_name (), function
, "Rmath " R_VERSION_STRING
);