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Floating-Point Real World Tests

These tests test the total time taken to execute all of Boost.Math's test cases for these functions. In each case the best performing library gets a relative score of 1, with the total execution time given in brackets. Times are shown for both single threaded runs and concurrent execution - the latter increases contension inside new/delete.

Table 1.14. Bessel Functions (50 digit precision)

Type

Time

  1. Allocations

cpp_bin_float_50

2.24409 (0.207745s)

399

cpp_bin_float_50 (3 concurrent threads)

2.87977 (0.266594s)

463

cpp_dec_float_50

4.56157 (0.422285s)

381

cpp_dec_float_50 (3 concurrent threads)

5.66114 (0.524077s)

424

mpf_float_50

1.03648 (0.0959515s)

640961

mpf_float_50 (3 concurrent threads)

1.50439 (0.139268s)

2563517

mpf_float_50 (no expression templates

1 (0.0925745s)

1019039

mpf_float_50 (no expression templates (3 concurrent threads)

1.52451 (0.141131s)

4075842

mpfr_float_50

1.2513 (0.115838s)

583054

mpfr_float_50 (3 concurrent threads)

1.61301 (0.149324s)

2330876

mpfr_float_50 (no expression templates

1.42667 (0.132073s)

999594

mpfr_float_50 (no expression templates (3 concurrent threads)

2.00203 (0.185337s)

4000039

static_mpfr_float_50

1.18358 (0.10957s)

22930

static_mpfr_float_50 (3 concurrent threads)

1.38802 (0.128496s)

93140

static_mpfr_float_50 (no expression templates)

1.14598 (0.106089s)

46861

static_mpfr_float_50 (no expression templates) (3 concurrent threads)

1.24535 (0.115288s)

189227


Table 1.15. Non-central T Distribution (50 digit precision)

Type

Time

  1. Allocations

cpp_bin_float_50

2.38959 (38.5842s)

0

cpp_bin_float_50 (3 concurrent threads)

3.50535 (56.6s)

28

cpp_dec_float_50

4.82763 (77.9505s)

0

mpf_float_50

1.06817 (17.2475s)

123749688

mpf_float_50 (no expression templates

1 (16.1468s)

152610085

mpfr_float_50

1.18754 (19.1749s)

118401290

mpfr_float_50 (no expression templates

1.36782 (22.0858s)

152816346

static_mpfr_float_50

1.04471 (16.8686s)

113395


Table 1.16. Platform Details

Version

Compiler

GNU C++ version 10.3.0

GMP

6.2.0

MPFR

262146

Boost

107800

Run date

Sep 30 2021



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