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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 |
# Allocations |
|---|---|---|
|
cpp_bin_float_50 |
2.20534 (0.315701s) |
4 |
|
cpp_bin_float_50 (3 concurrent threads) |
2.36703 (0.338848s) |
44 |
|
cpp_dec_float_50 |
2.6349 (0.377193s) |
3 |
|
cpp_dec_float_50 (3 concurrent threads) |
2.86599 (0.410275s) |
37 |
|
mpf_float_50 |
1.17269 (0.167874s) |
870726 |
|
mpf_float_50 (3 concurrent threads) |
1.43643 (0.205629s) |
3482853 |
|
mpf_float_50 (no expression templates |
1.19799 (0.171495s) |
1071229 |
|
mpf_float_50 (no expression templates (3 concurrent threads) |
1.57224 (0.22507s) |
4284875 |
|
mpfr_float_50 |
1.42535 (0.204043s) |
813605 |
|
mpfr_float_50 (3 concurrent threads) |
1.66446 (0.238272s) |
3255603 |
|
mpfr_float_50 (no expression templates |
1.51042 (0.216221s) |
1001796 |
|
mpfr_float_50 (no expression templates (3 concurrent threads) |
1.86742 (0.267326s) |
4008535 |
|
static_mpfr_float_50 |
1.02344 (0.146508s) |
18685 |
|
static_mpfr_float_50 (3 concurrent threads) |
1.25745 (0.180008s) |
75947 |
|
static_mpfr_float_50 (no expression templates) |
1 (0.143153s) |
46826 |
|
static_mpfr_float_50 (no expression templates) (3 concurrent threads) |
1.12861 (0.161564s) |
189192 |
Table 1.15. Non-central T Distribution (50 digit precision)
|
Type |
Time |
# Allocations |
|---|---|---|
|
cpp_bin_float_50 |
2.3739 (59.0179s) |
1 |
|
cpp_bin_float_50 (3 concurrent threads) |
3.21496 (79.9276s) |
29 |
|
cpp_dec_float_50 |
2.47505 (61.5326s) |
4 |
|
mpf_float_50 |
1.13495 (28.2162s) |
162346817 |
|
mpf_float_50 (no expression templates |
1 (24.8611s) |
154896018 |
|
mpfr_float_50 |
1.84473 (45.8621s) |
196986977 |
|
mpfr_float_50 (no expression templates |
1.66952 (41.5062s) |
194554719 |
|
static_mpfr_float_50 |
1.25101 (31.1014s) |
1798554 |
Table 1.16. Platform Details
|
Platform |
Linux 5.3.0-24-generic, version #26-Ubuntu SMP Thu Nov 14 01:33:18 UTC 2019, x86_64 |
|---|---|
|
Compiler |
GNU C++ version 9.2.1 20191008 |
|
GMP |
6.1.2 |
|
MPFR |
262146 |
|
Boost |
107200 |
|
Run date |
Dec 13 2019 |