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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. The first three libraries listed are the various floating-point types provided by this library, while for comparison, two popular C++ front-ends to MPFR ( mpfr_class and mpreal) are also shown.

Table 1.12. Bessel Function Performance

Library | 50 Decimal Digits | 100 Decimal Digits
--- | --- | ---
mpfr_float | 1.2 (5.78s) | 1.2 (9.56s)
static_mpfr_float | 1.1 (5.47s) | 1.1 (9.09s)
mpf_float | 1.0 (4.82s) | 1.0(8.07s)
cpp_dec_float | 1.8 (8.54s) | 2.6 (20.66s)
mpfr_class | 1.3 (6.28s) | 1.2(10.06s)
mpreal | 2.0 (9.54s) | 1.7 (14.08s)

Table 1.13. Non-Central T Distribution Performance

Library | 50 Decimal Digits
--- | ---
mpfr_float | 1.3 (263.27s)
static_mpfr_float | 1.2 (232.88s)
mpf_float | 1.0 (195.73s)
cpp_dec_float | 1.9 (366.38s)
mpfr_class | 1.5 (286.94s)
mpreal | 2.0 (388.70s)

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