diff --git a/reporting/performance/doc/performance_tables.qbk b/reporting/performance/doc/performance_tables.qbk index c4699cceb..6a24fb890 100644 --- a/reporting/performance/doc/performance_tables.qbk +++ b/reporting/performance/doc/performance_tables.qbk @@ -1,6 +1,1153 @@ [/tables:] +[template table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[table:table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux Distribution performance comparison for different performance options with Intel C++ C++0x mode version 1910 on linux +[[Function][boost 1.73][Boost[br]promote_double][Boost[br]promote_double[br]digits10<10>][Boost[br]float[br]promote_float]] +[[ArcSine (CDF)][[role green 1.07[br](30ns)]][[role green 1.07[br](30ns)]][[role green 1.07[br](30ns)]][[role green 1.00[br](28ns)]]] +[[ArcSine (PDF)][[role green 1.07[br](16ns)]][[role green 1.00[br](15ns)]][[role green 1.00[br](15ns)]][[role green 1.00[br](15ns)]]] +[[ArcSine (quantile)][[role green 1.00[br](31ns)]][[role green 1.00[br](31ns)]][[role green 1.03[br](32ns)]][[role green 1.00[br](31ns)]]] +[[Beta (CDF)][[role red 3.75[br](300ns)]][[role blue 1.46[br](117ns)]][[role blue 1.40[br](112ns)]][[role green 1.00[br](80ns)]]] +[[Beta (PDF)][[role red 3.64[br](255ns)]][[role green 1.09[br](76ns)]][[role green 1.10[br](77ns)]][[role green 1.00[br](70ns)]]] +[[Beta (quantile)][[role red 3.53[br](1693ns)]][[role blue 1.45[br](694ns)]][[role green 1.19[br](571ns)]][[role green 1.00[br](480ns)]]] +[[Binomial (CDF)][[role red 3.88[br](656ns)]][[role blue 1.49[br](252ns)]][[role blue 1.27[br](215ns)]][[role green 1.00[br](169ns)]]] +[[Binomial (PDF)][[role red 3.37[br](290ns)]][[role green 1.03[br](89ns)]][[role green 1.03[br](89ns)]][[role green 1.00[br](86ns)]]] +[[Binomial (quantile)][[role red 3.30[br](2982ns)]][[role blue 1.43[br](1290ns)]][[role blue 1.24[br](1126ns)]][[role green 1.00[br](905ns)]]] +[[Cauchy (CDF)][[role green 1.04[br](25ns)]][[role green 1.04[br](25ns)]][[role green 1.00[br](24ns)]][[role green 1.04[br](25ns)]]] +[[Cauchy (PDF)][[role green 1.00[br](9ns)]][[role green 1.00[br](9ns)]][[role green 1.00[br](9ns)]][[role green 1.11[br](10ns)]]] +[[Cauchy (quantile)][[role green 1.00[br](39ns)]][[role green 1.00[br](39ns)]][[role green 1.00[br](39ns)]][[role green 1.00[br](39ns)]]] +[[ChiSquared (CDF)][[role red 3.09[br](918ns)]][[role blue 1.62[br](482ns)]][[role blue 1.29[br](383ns)]][[role green 1.00[br](297ns)]]] +[[ChiSquared (PDF)][[role red 3.43[br](206ns)]][[role green 1.08[br](65ns)]][[role green 1.05[br](63ns)]][[role green 1.00[br](60ns)]]] +[[ChiSquared (quantile)][[role red 3.10[br](1400ns)]][[role blue 1.69[br](764ns)]][[role blue 1.26[br](570ns)]][[role green 1.00[br](451ns)]]] +[[Exponential (CDF)][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]]] +[[Exponential (PDF)][[role green 1.14[br](24ns)]][[role green 1.10[br](23ns)]][[role green 1.10[br](23ns)]][[role green 1.00[br](21ns)]]] +[[Exponential (quantile)][[role green 1.04[br](27ns)]][[role green 1.04[br](27ns)]][[role green 1.04[br](27ns)]][[role green 1.00[br](26ns)]]] +[[ExtremeValue (CDF)][[role green 1.00[br](37ns)]][[role green 1.00[br](37ns)]][[role green 1.00[br](37ns)]][[role green 1.03[br](38ns)]]] +[[ExtremeValue (PDF)][[role green 1.00[br](38ns)]][[role green 1.03[br](39ns)]][[role green 1.00[br](38ns)]][[role green 1.03[br](39ns)]]] +[[ExtremeValue (quantile)][[role green 1.02[br](41ns)]][[role green 1.05[br](42ns)]][[role green 1.02[br](41ns)]][[role green 1.00[br](40ns)]]] +[[F (CDF)][[role red 3.93[br](590ns)]][[role blue 1.56[br](234ns)]][[role blue 1.28[br](192ns)]][[role green 1.00[br](150ns)]]] +[[F (PDF)][[role red 3.38[br](304ns)]][[role green 1.07[br](96ns)]][[role green 1.07[br](96ns)]][[role green 1.00[br](90ns)]]] +[[F (quantile)][[role red 2.67[br](1978ns)]][[role green 1.15[br](848ns)]][[role green 1.00[br](740ns)]][[role green 1.03[br](761ns)]]] +[[Gamma (CDF)][[role red 2.66[br](473ns)]][[role blue 1.31[br](234ns)]][[role green 1.16[br](207ns)]][[role green 1.00[br](178ns)]]] +[[Gamma (PDF)][[role red 3.45[br](245ns)]][[role green 1.20[br](85ns)]][[role green 1.17[br](83ns)]][[role green 1.00[br](71ns)]]] +[[Gamma (quantile)][[role red 3.10[br](1166ns)]][[role blue 1.61[br](605ns)]][[role green 1.10[br](413ns)]][[role green 1.00[br](376ns)]]] +[[Geometric (CDF)][[role green 1.00[br](24ns)]][[role green 1.00[br](24ns)]][[role green 1.00[br](24ns)]][[role green 1.00[br](24ns)]]] +[[Geometric (PDF)][[role green 1.18[br](20ns)]][[role green 1.18[br](20ns)]][[role green 1.12[br](19ns)]][[role green 1.00[br](17ns)]]] +[[Geometric (quantile)][[role green 1.00[br](25ns)]][[role green 1.04[br](26ns)]][[role green 1.00[br](25ns)]][[role green 1.08[br](27ns)]]] +[[Hypergeometric (CDF)][[role green 1.11[br](48090ns)]][[role green 1.00[br](43638ns)]][[role green 1.00[br](43443ns)]][[role green 1.12[br](48749ns)]]] +[[Hypergeometric (PDF)][[role green 1.11[br](50909ns)]][[role green 1.00[br](45698ns)]][[role green 1.00[br](45877ns)]][[role blue 1.21[br](55175ns)]]] +[[Hypergeometric (quantile)][[role green 1.00[br](85300ns)]][[role blue 1.23[br](105218ns)]][[role blue 1.24[br](106075ns)]][[role blue 1.32[br](112724ns)]]] +[[InverseChiSquared (CDF)][[role red 3.39[br](1123ns)]][[role blue 1.68[br](557ns)]][[role blue 1.31[br](435ns)]][[role green 1.00[br](331ns)]]] +[[InverseChiSquared (PDF)][[role red 3.17[br](203ns)]][[role green 1.11[br](71ns)]][[role green 1.08[br](69ns)]][[role green 1.00[br](64ns)]]] +[[InverseChiSquared (quantile)][[role red 3.09[br](1509ns)]][[role blue 1.66[br](810ns)]][[role blue 1.27[br](620ns)]][[role green 1.00[br](488ns)]]] +[[InverseGamma (CDF)][[role red 2.66[br](477ns)]][[role blue 1.30[br](233ns)]][[role green 1.15[br](205ns)]][[role green 1.00[br](179ns)]]] +[[InverseGamma (PDF)][[role red 3.44[br](248ns)]][[role green 1.19[br](86ns)]][[role green 1.17[br](84ns)]][[role green 1.00[br](72ns)]]] +[[InverseGamma (quantile)][[role red 3.13[br](1153ns)]][[role blue 1.63[br](599ns)]][[role green 1.12[br](413ns)]][[role green 1.00[br](368ns)]]] +[[InverseGaussian (CDF)][[role green 1.00[br](140ns)]][[role green 1.00[br](140ns)]][[role green 1.00[br](140ns)]][[role grey -]]] +[[InverseGaussian (PDF)][[role blue 1.70[br](51ns)]][[role blue 1.70[br](51ns)]][[role blue 1.77[br](53ns)]][[role green 1.00[br](30ns)]]] +[[InverseGaussian (quantile)][[role blue 1.52[br](1712ns)]][[role blue 1.52[br](1712ns)]][[role blue 1.40[br](1583ns)]][[role green 1.00[br](1127ns)]]] +[[Laplace (CDF)][[role green 1.00[br](26ns)]][[role green 1.00[br](26ns)]][[role green 1.00[br](26ns)]][[role green 1.00[br](26ns)]]] +[[Laplace (PDF)][[role green 1.00[br](25ns)]][[role green 1.00[br](25ns)]][[role green 1.00[br](25ns)]][[role green 1.04[br](26ns)]]] +[[Laplace (quantile)][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.04[br](28ns)]]] +[[LogNormal (CDF)][[role blue 1.26[br](97ns)]][[role green 1.09[br](84ns)]][[role green 1.09[br](84ns)]][[role green 1.00[br](77ns)]]] +[[LogNormal (PDF)][[role green 1.02[br](41ns)]][[role green 1.02[br](41ns)]][[role green 1.00[br](40ns)]][[role green 1.02[br](41ns)]]] +[[LogNormal (quantile)][[role blue 1.34[br](75ns)]][[role green 1.00[br](56ns)]][[role green 1.00[br](56ns)]][[role green 1.00[br](56ns)]]] +[[Logistic (CDF)][[role green 1.00[br](25ns)]][[role green 1.00[br](25ns)]][[role green 1.00[br](25ns)]][[role green 1.04[br](26ns)]]] +[[Logistic (PDF)][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]]] +[[Logistic (quantile)][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]]] +[[NegativeBinomial (CDF)][[role red 4.47[br](970ns)]][[role blue 1.71[br](372ns)]][[role blue 1.36[br](295ns)]][[role green 1.00[br](217ns)]]] +[[NegativeBinomial (PDF)][[role red 3.61[br](321ns)]][[role green 1.04[br](93ns)]][[role green 1.04[br](93ns)]][[role green 1.00[br](89ns)]]] +[[NegativeBinomial (quantile)][[role red 2.94[br](5428ns)]][[role blue 1.20[br](2221ns)]][[role green 1.00[br](1845ns)]][[role green 1.16[br](2133ns)]]] +[[NonCentralBeta (CDF)][[role red 3.84[br](1432ns)]][[role blue 1.65[br](616ns)]][[role blue 1.47[br](550ns)]][[role green 1.00[br](373ns)]]] +[[NonCentralBeta (PDF)][[role red 3.56[br](946ns)]][[role blue 1.44[br](384ns)]][[role blue 1.28[br](340ns)]][[role green 1.00[br](266ns)]]] +[[NonCentralBeta (quantile)][[role red 6.38[br](37988ns)]][[role red 2.60[br](15507ns)]][[role red 2.32[br](13842ns)]][[role green 1.00[br](5955ns)]]] +[[NonCentralChiSquared (CDF)][[role red 3.18[br](3469ns)]][[role blue 2.00[br](2180ns)]][[role blue 1.63[br](1778ns)]][[role green 1.00[br](1090ns)]]] +[[NonCentralChiSquared (PDF)][[role red 2.62[br](601ns)]][[role blue 1.48[br](338ns)]][[role blue 1.46[br](335ns)]][[role green 1.00[br](229ns)]]] +[[NonCentralChiSquared (quantile)][[role red 4.68[br](25443ns)]][[role red 2.61[br](14172ns)]][[role blue 1.61[br](8761ns)]][[role green 1.00[br](5437ns)]]] +[[NonCentralF (CDF)][[role red 3.51[br](1254ns)]][[role blue 1.44[br](513ns)]][[role blue 1.24[br](442ns)]][[role green 1.00[br](357ns)]]] +[[NonCentralF (PDF)][[role red 3.42[br](1006ns)]][[role blue 1.33[br](390ns)]][[role blue 1.20[br](354ns)]][[role green 1.00[br](294ns)]]] +[[NonCentralF (quantile)][[role red 3.96[br](19355ns)]][[role blue 1.56[br](7609ns)]][[role blue 1.28[br](6255ns)]][[role green 1.00[br](4885ns)]]] +[[NonCentralT (CDF)][[role red 3.88[br](4765ns)]][[role blue 1.74[br](2131ns)]][[role blue 1.50[br](1843ns)]][[role green 1.00[br](1227ns)]]] +[[NonCentralT (PDF)][[role red 3.25[br](2983ns)]][[role blue 1.69[br](1549ns)]][[role blue 1.48[br](1355ns)]][[role green 1.00[br](917ns)]]] +[[NonCentralT (quantile)][[role red 5.19[br](50843ns)]][[role red 2.13[br](20840ns)]][[role blue 1.62[br](15907ns)]][[role green 1.00[br](9802ns)]]] +[[Normal (CDF)][[role blue 1.43[br](76ns)]][[role green 1.15[br](61ns)]][[role green 1.15[br](61ns)]][[role green 1.00[br](53ns)]]] +[[Normal (PDF)][[role green 1.00[br](24ns)]][[role green 1.04[br](25ns)]][[role green 1.04[br](25ns)]][[role green 1.04[br](25ns)]]] +[[Normal (quantile)][[role blue 1.55[br](51ns)]][[role green 1.00[br](33ns)]][[role green 1.03[br](34ns)]][[role green 1.00[br](33ns)]]] +[[Pareto (CDF)][[role green 1.05[br](39ns)]][[role green 1.05[br](39ns)]][[role green 1.08[br](40ns)]][[role green 1.00[br](37ns)]]] +[[Pareto (PDF)][[role green 1.03[br](67ns)]][[role green 1.05[br](68ns)]][[role green 1.05[br](68ns)]][[role green 1.00[br](65ns)]]] +[[Pareto (quantile)][[role green 1.00[br](35ns)]][[role green 1.00[br](35ns)]][[role green 1.00[br](35ns)]][[role green 1.00[br](35ns)]]] +[[Poisson (CDF)][[role red 2.52[br](189ns)]][[role blue 1.21[br](91ns)]][[role green 1.09[br](82ns)]][[role green 1.00[br](75ns)]]] +[[Poisson (PDF)][[role red 2.92[br](140ns)]][[role green 1.04[br](50ns)]][[role green 1.02[br](49ns)]][[role green 1.00[br](48ns)]]] +[[Poisson (quantile)][[role red 2.16[br](854ns)]][[role green 1.08[br](428ns)]][[role green 1.01[br](401ns)]][[role green 1.00[br](396ns)]]] +[[Rayleigh (CDF)][[role blue 1.26[br](24ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]]] +[[Rayleigh (PDF)][[role green 1.09[br](24ns)]][[role green 1.14[br](25ns)]][[role green 1.05[br](23ns)]][[role green 1.00[br](22ns)]]] +[[Rayleigh (quantile)][[role green 1.04[br](27ns)]][[role green 1.04[br](27ns)]][[role green 1.04[br](27ns)]][[role green 1.00[br](26ns)]]] +[[SkewNormal (CDF)][[role blue 1.37[br](368ns)]][[role blue 1.32[br](354ns)]][[role blue 1.32[br](354ns)]][[role green 1.00[br](269ns)]]] +[[SkewNormal (PDF)][[role green 1.13[br](88ns)]][[role green 1.00[br](78ns)]][[role green 1.00[br](78ns)]][[role green 1.00[br](78ns)]]] +[[SkewNormal (quantile)][[role blue 1.88[br](3270ns)]][[role blue 1.77[br](3093ns)]][[role blue 1.36[br](2377ns)]][[role green 1.00[br](1744ns)]]] +[[StudentsT (CDF)][[role red 3.90[br](1002ns)]][[role red 2.10[br](540ns)]][[role red 2.12[br](545ns)]][[role green 1.00[br](257ns)]]] +[[StudentsT (PDF)][[role red 2.81[br](278ns)]][[role green 1.08[br](107ns)]][[role green 1.07[br](106ns)]][[role green 1.00[br](99ns)]]] +[[StudentsT (quantile)][[role red 3.10[br](1506ns)]][[role blue 1.65[br](802ns)]][[role blue 1.64[br](797ns)]][[role green 1.00[br](486ns)]]] +[[Weibull (CDF)][[role blue 1.30[br](52ns)]][[role green 1.15[br](46ns)]][[role green 1.15[br](46ns)]][[role green 1.00[br](40ns)]]] +[[Weibull (PDF)][[role blue 1.25[br](71ns)]][[role blue 1.25[br](71ns)]][[role blue 1.25[br](71ns)]][[role green 1.00[br](57ns)]]] +[[Weibull (quantile)][[role green 1.02[br](49ns)]][[role green 1.02[br](49ns)]][[role green 1.02[br](49ns)]][[role green 1.00[br](48ns)]]] +] +] + +[template table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[table:table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Distribution performance comparison with Intel C++ C++0x mode version 1910 on linux +[[Function][boost 1.73][Boost[br]promote_double][Boost[br]float[br]promote_float][GSL][Rmath 3.6.3][DCDFLIB]] +[[ArcSine (CDF)][[role green 1.00[br](30ns)]][[role green 1.00[br](30ns)]][][][][]] +[[ArcSine (PDF)][[role green 1.07[br](16ns)]][[role green 1.00[br](15ns)]][][][][]] +[[ArcSine (quantile)][[role green 1.00[br](31ns)]][[role green 1.00[br](31ns)]][][][][]] +[[Beta (CDF)][[role red 2.56[br](300ns)]][[role green 1.00[br](117ns)]][[role grey -]][[role red 3.20[br](374ns)]][[role blue 1.79[br](209ns)]][[role blue 1.87[br](219ns)]]] +[[Beta (PDF)][[role red 3.36[br](255ns)]][[role green 1.00[br](76ns)]][[role grey -]][[role grey -]][[role red 2.68[br](204ns)]][]] +[[Beta (quantile)][[role red 2.44[br](1693ns)]][[role green 1.00[br](694ns)]][[role grey -]][[role red 18.14[br](12591ns)]][[role red 2.14[br](1486ns)]][[role red 6.32[br](4384ns)]]] +[[Binomial (CDF)][[role red 2.60[br](656ns)]][[role green 1.00[br](252ns)]][[role grey -]][[role red 2.45[br](617ns)]][[role blue 1.56[br](392ns)]][[role blue 1.51[br](380ns)]]] +[[Binomial (PDF)][[role red 3.26[br](290ns)]][[role green 1.00[br](89ns)]][[role grey -]][[role grey -]][[role blue 1.98[br](176ns)]][]] +[[Binomial (quantile)][[role red 2.90[br](2982ns)]][[role blue 1.26[br](1290ns)]][[role grey -]][[role grey -]][[role green 1.00[br](1027ns)]][[role red 6.06[br](6224ns)]]] +[[Cauchy (CDF)][[role green 1.00[br](25ns)]][[role green 1.00[br](25ns)]][[role grey -]][[role blue 1.32[br](33ns)]][[role blue 1.40[br](35ns)]][]] +[[Cauchy (PDF)][[role green 1.00[br](9ns)]][[role green 1.00[br](9ns)]][[role grey -]][[role grey -]][[role blue 1.44[br](13ns)]][]] +[[Cauchy (quantile)][[role green 1.00[br](39ns)]][[role green 1.00[br](39ns)]][[role grey -]][[role green 1.00[br](39ns)]][[role blue 1.62[br](63ns)]][]] +[[ChiSquared (CDF)][[role red 8.50[br](918ns)]][[role red 4.46[br](482ns)]][[role grey -]][[role red 12.22[br](1320ns)]][[role blue 1.71[br](185ns)]][[role green 1.00[br](108ns)]]] +[[ChiSquared (PDF)][[role red 3.17[br](206ns)]][[role green 1.00[br](65ns)]][[role grey -]][[role grey -]][[role blue 1.25[br](81ns)]][]] +[[ChiSquared (quantile)][[role blue 1.83[br](1400ns)]][[role green 1.00[br](764ns)]][[role grey -]][[role red 17.14[br](13096ns)]][[role blue 1.45[br](1108ns)]][[role red 3.61[br](2757ns)]]] +[[Exponential (CDF)][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role grey -]][[role blue 1.79[br](34ns)]][[role blue 1.84[br](35ns)]][]] +[[Exponential (PDF)][[role green 1.04[br](24ns)]][[role green 1.00[br](23ns)]][[role grey -]][[role grey -]][[role blue 1.48[br](34ns)]][]] +[[Exponential 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number products)][[role green 1.00[br](219029ns)]][[role red 2.02[br](442534ns)]][[role blue 1.68[br](367430ns)]][[role green 1.01[br](220569ns)]][[role blue 1.62[br](354825ns)]][[role green 1.05[br](229989ns)]]] +[[gcd (uniform random numbers)][[role green 1.01[br](339532ns)]][[role blue 1.87[br](628141ns)]][[role blue 1.52[br](512196ns)]][[role green 1.00[br](336399ns)]][[role blue 1.34[br](449918ns)]][[role green 1.04[br](348735ns)]]] +] +] + +[template table_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_[] +[table:table_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_ Polynomial Arithmetic (Intel C++ C++0x mode version 1910, linux) +[[Function][boost::uint64_t][double][cpp_int]] +[[operator *][[role green 1.12[br](417ns)]][[role green 1.00[br](372ns)]][[role red 23.61[br](8782ns)]]] +[[operator * (int)][[role green 1.04[br](103ns)]][[role green 1.00[br](99ns)]][[role red 12.15[br](1203ns)]]] +[[operator *=][[role green 1.14[br](199820ns)]][[role green 1.00[br](175634ns)]][[role red 22.31[br](3918504ns)]]] +[[operator *= (int)][[role green 1.00[br](15241ns)]][[role green 1.08[br](16386ns)]][[role red 23.08[br](351800ns)]]] +[[operator +][[role green 1.00[br](146ns)]][[role green 1.12[br](163ns)]][[role red 9.82[br](1433ns)]]] +[[operator + (int)][[role green 1.00[br](94ns)]][[role green 1.00[br](94ns)]][[role red 6.64[br](624ns)]]] +[[operator +=][[role green 1.00[br](27ns)]][[role green 1.04[br](28ns)]][[role red 21.19[br](572ns)]]] +[[operator += (int)][[role blue 1.67[br](5ns)]][[role green 1.00[br](3ns)]][[role red 44.67[br](134ns)]]] +[[operator -][[role green 1.00[br](144ns)]][[role green 1.09[br](157ns)]][[role red 11.32[br](1630ns)]]] +[[operator - (int)][[role green 1.00[br](93ns)]][[role green 1.01[br](94ns)]][[role red 6.55[br](609ns)]]] +[[operator -=][[role blue 1.40[br](28ns)]][[role green 1.00[br](20ns)]][[role red 31.60[br](632ns)]]] +[[operator -= (int)][[role blue 1.33[br](4ns)]][[role green 1.00[br](3ns)]][[role red 43.00[br](129ns)]]] +[[operator /][[role blue 1.70[br](840ns)]][[role green 1.00[br](495ns)]][[role red 45.57[br](22558ns)]]] +[[operator / (int)][[role green 1.07[br](106ns)]][[role green 1.00[br](99ns)]][[role red 19.42[br](1923ns)]]] +[[operator /=][[role green 1.04[br](29ns)]][[role green 1.00[br](28ns)]][[role red 85.39[br](2391ns)]]] +[[operator /= (int)][[role green 1.00[br](723ns)]][[role red 35.63[br](25759ns)]][[role red 4559.59[br](3296580ns)]]] +] +] + +[template table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[table:table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Rational Method Comparison with Intel C++ C++0x mode version 1910 on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role red 2.17[br](26ns)]][[role blue 2.00[br](24ns)]][[role green 1.08[br](13ns)]][[role green 1.08[br](13ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]]] +[[Order 3][[role red 2.88[br](49ns)]][[role red 3.18[br](54ns)]][[role blue 1.59[br](27ns)]][[role blue 1.41[br](24ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]]] +[[Order 4][[role red 4.00[br](68ns)]][[role red 4.35[br](74ns)]][[role blue 1.88[br](32ns)]][[role blue 1.88[br](32ns)]][[role green 1.06[br](18ns)]][[role green 1.06[br](18ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]]] +[[Order 5][[role red 2.15[br](86ns)]][[role red 2.25[br](90ns)]][[role green 1.00[br](40ns)]][[role green 1.00[br](40ns)]][[role green 1.20[br](48ns)]][[role blue 1.23[br](49ns)]][[role green 1.05[br](42ns)]][[role green 1.07[br](43ns)]]] +[[Order 6][[role red 2.16[br](106ns)]][[role red 2.20[br](108ns)]][[role green 1.04[br](51ns)]][[role green 1.00[br](49ns)]][[role green 1.08[br](53ns)]][[role green 1.08[br](53ns)]][[role green 1.06[br](52ns)]][[role blue 1.24[br](61ns)]]] +[[Order 7][[role red 2.14[br](126ns)]][[role red 2.20[br](130ns)]][[role green 1.02[br](60ns)]][[role green 1.00[br](59ns)]][[role green 1.02[br](60ns)]][[role green 1.02[br](60ns)]][[role green 1.07[br](63ns)]][[role green 1.02[br](60ns)]]] +[[Order 8][[role red 2.43[br](170ns)]][[role red 2.11[br](148ns)]][[role green 1.03[br](72ns)]][[role green 1.01[br](71ns)]][[role green 1.00[br](70ns)]][[role green 1.00[br](70ns)]][[role green 1.00[br](70ns)]][[role blue 1.53[br](107ns)]]] +[[Order 9][[role red 2.06[br](165ns)]][[role red 2.12[br](170ns)]][[role green 1.14[br](91ns)]][[role green 1.15[br](92ns)]][[role green 1.02[br](82ns)]][[role green 1.00[br](80ns)]][[role green 1.01[br](81ns)]][[role blue 1.44[br](115ns)]]] +[[Order 10][[role red 2.22[br](189ns)]][[role red 2.26[br](192ns)]][[role green 1.13[br](96ns)]][[role green 1.12[br](95ns)]][[role green 1.01[br](86ns)]][[role green 1.04[br](88ns)]][[role green 1.00[br](85ns)]][[role blue 1.47[br](125ns)]]] +[[Order 11][[role red 2.15[br](209ns)]][[role red 2.15[br](209ns)]][[role green 1.12[br](109ns)]][[role green 1.20[br](116ns)]][[role green 1.00[br](97ns)]][[role green 1.01[br](98ns)]][[role blue 1.46[br](142ns)]][[role blue 1.42[br](138ns)]]] +[[Order 12][[role red 2.10[br](227ns)]][[role red 2.17[br](234ns)]][[role green 1.19[br](128ns)]][[role green 1.13[br](122ns)]][[role green 1.01[br](109ns)]][[role green 1.00[br](108ns)]][[role blue 1.31[br](141ns)]][[role blue 1.37[br](148ns)]]] +[[Order 13][[role red 2.73[br](246ns)]][[role red 2.78[br](250ns)]][[role green 1.18[br](106ns)]][[role green 1.17[br](105ns)]][[role green 1.01[br](91ns)]][[role green 1.00[br](90ns)]][[role blue 1.66[br](149ns)]][[role blue 1.80[br](162ns)]]] +[[Order 14][[role red 2.92[br](266ns)]][[role red 3.03[br](276ns)]][[role green 1.18[br](107ns)]][[role red 2.89[br](263ns)]][[role green 1.00[br](91ns)]][[role green 1.04[br](95ns)]][[role blue 1.78[br](162ns)]][[role red 2.15[br](196ns)]]] +[[Order 15][[role red 2.97[br](288ns)]][[role red 2.97[br](288ns)]][[role green 1.11[br](108ns)]][[role red 2.98[br](289ns)]][[role green 1.00[br](97ns)]][[role red 2.38[br](231ns)]][[role blue 1.79[br](174ns)]][[role blue 1.82[br](177ns)]]] +[[Order 16][[role red 3.17[br](314ns)]][[role red 3.15[br](312ns)]][[role green 1.13[br](112ns)]][[role red 3.35[br](332ns)]][[role green 1.00[br](99ns)]][[role red 2.53[br](250ns)]][[role blue 1.89[br](187ns)]][[role blue 1.94[br](192ns)]]] +[[Order 17][[role red 2.99[br](326ns)]][[role red 3.11[br](339ns)]][[role green 1.11[br](121ns)]][[role red 3.31[br](361ns)]][[role green 1.00[br](109ns)]][[role red 2.42[br](264ns)]][[role blue 1.81[br](197ns)]][[role blue 1.83[br](200ns)]]] +[[Order 18][[role red 3.43[br](350ns)]][[role red 3.52[br](359ns)]][[role blue 1.21[br](123ns)]][[role red 3.94[br](402ns)]][[role green 1.00[br](102ns)]][[role red 2.86[br](292ns)]][[role blue 1.98[br](202ns)]][[role red 2.08[br](212ns)]]] +[[Order 19][[role red 3.51[br](379ns)]][[role red 3.43[br](370ns)]][[role green 1.16[br](125ns)]][[role red 3.97[br](429ns)]][[role green 1.00[br](108ns)]][[role red 3.01[br](325ns)]][[role blue 1.94[br](209ns)]][[role red 2.17[br](234ns)]]] +[[Order 20][[role red 3.69[br](421ns)]][[role red 4.34[br](495ns)]][[role green 1.18[br](134ns)]][[role red 4.31[br](491ns)]][[role green 1.00[br](114ns)]][[role red 3.08[br](351ns)]][[role blue 1.96[br](224ns)]][[role red 2.06[br](235ns)]]] +] +] + +[template table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[table:table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Polynomial Method Comparison with Intel C++ C++0x mode version 1910 on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role green 1.00[br](3ns)]][[role green 1.00[br](3ns)]][[role blue 1.33[br](4ns)]][[role blue 1.33[br](4ns)]][[role blue 1.33[br](4ns)]][[role green 1.00[br](3ns)]]] +[[Order 3][[role blue 1.75[br](14ns)]][[role red 2.12[br](17ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]]] +[[Order 4][[role blue 1.64[br](18ns)]][[role red 2.18[br](24ns)]][[role green 1.09[br](12ns)]][[role green 1.18[br](13ns)]][[role green 1.00[br](11ns)]][[role green 1.00[br](11ns)]][[role green 1.00[br](11ns)]][[role green 1.00[br](11ns)]]] +[[Order 5][[role blue 1.60[br](24ns)]][[role red 2.13[br](32ns)]][[role green 1.00[br](15ns)]][[role green 1.00[br](15ns)]][[role green 1.07[br](16ns)]][[role blue 1.27[br](19ns)]][[role green 1.00[br](15ns)]][[role green 1.07[br](16ns)]]] +[[Order 6][[role blue 1.88[br](30ns)]][[role red 2.56[br](41ns)]][[role green 1.00[br](16ns)]][[role green 1.00[br](16ns)]][[role blue 1.44[br](23ns)]][[role blue 1.31[br](21ns)]][[role blue 1.25[br](20ns)]][[role blue 1.25[br](20ns)]]] +[[Order 7][[role blue 2.00[br](36ns)]][[role red 2.67[br](48ns)]][[role green 1.06[br](19ns)]][[role green 1.00[br](18ns)]][[role blue 1.33[br](24ns)]][[role blue 1.44[br](26ns)]][[role blue 1.28[br](23ns)]][[role blue 1.28[br](23ns)]]] +[[Order 8][[role blue 1.86[br](41ns)]][[role red 2.55[br](56ns)]][[role green 1.00[br](22ns)]][[role green 1.00[br](22ns)]][[role blue 1.32[br](29ns)]][[role blue 1.27[br](28ns)]][[role green 1.18[br](26ns)]][[role green 1.18[br](26ns)]]] +[[Order 9][[role blue 1.85[br](48ns)]][[role red 2.46[br](64ns)]][[role green 1.00[br](26ns)]][[role green 1.00[br](26ns)]][[role blue 1.27[br](33ns)]][[role blue 1.31[br](34ns)]][[role green 1.15[br](30ns)]][[role green 1.15[br](30ns)]]] +[[Order 10][[role blue 1.69[br](54ns)]][[role red 2.28[br](73ns)]][[role green 1.00[br](32ns)]][[role green 1.00[br](32ns)]][[role blue 1.22[br](39ns)]][[role green 1.19[br](38ns)]][[role green 1.06[br](34ns)]][[role green 1.09[br](35ns)]]] +[[Order 11][[role blue 1.77[br](62ns)]][[role red 2.29[br](80ns)]][[role green 1.00[br](35ns)]][[role green 1.00[br](35ns)]][[role blue 1.26[br](44ns)]][[role blue 1.49[br](52ns)]][[role green 1.06[br](37ns)]][[role green 1.09[br](38ns)]]] +[[Order 12][[role blue 1.77[br](71ns)]][[role red 2.20[br](88ns)]][[role green 1.05[br](42ns)]][[role green 1.00[br](40ns)]][[role blue 1.35[br](54ns)]][[role blue 1.32[br](53ns)]][[role blue 1.35[br](54ns)]][[role blue 1.48[br](59ns)]]] +[[Order 13][[role blue 1.81[br](76ns)]][[role red 2.33[br](98ns)]][[role green 1.02[br](43ns)]][[role green 1.00[br](42ns)]][[role blue 1.36[br](57ns)]][[role blue 1.24[br](52ns)]][[role blue 1.57[br](66ns)]][[role blue 1.36[br](57ns)]]] +[[Order 14][[role blue 1.98[br](85ns)]][[role red 2.47[br](106ns)]][[role green 1.00[br](43ns)]][[role green 1.00[br](43ns)]][[role blue 1.33[br](57ns)]][[role blue 1.30[br](56ns)]][[role blue 1.35[br](58ns)]][[role green 1.16[br](50ns)]]] +[[Order 15][[role red 2.26[br](95ns)]][[role red 2.67[br](112ns)]][[role green 1.05[br](44ns)]][[role green 1.00[br](42ns)]][[role green 1.14[br](48ns)]][[role green 1.17[br](49ns)]][[role green 1.19[br](50ns)]][[role green 1.12[br](47ns)]]] +[[Order 16][[role red 2.31[br](97ns)]][[role red 2.86[br](120ns)]][[role green 1.00[br](42ns)]][[role green 1.02[br](43ns)]][[role green 1.12[br](47ns)]][[role green 1.12[br](47ns)]][[role blue 1.33[br](56ns)]][[role blue 1.69[br](71ns)]]] +[[Order 17][[role red 2.39[br](105ns)]][[role red 2.93[br](129ns)]][[role green 1.00[br](44ns)]][[role green 1.02[br](45ns)]][[role blue 1.34[br](59ns)]][[role green 1.11[br](49ns)]][[role blue 1.23[br](54ns)]][[role green 1.02[br](45ns)]]] +[[Order 18][[role red 2.63[br](113ns)]][[role red 3.19[br](137ns)]][[role green 1.00[br](43ns)]][[role green 1.00[br](43ns)]][[role green 1.14[br](49ns)]][[role green 1.14[br](49ns)]][[role blue 1.37[br](59ns)]][[role green 1.14[br](49ns)]]] +[[Order 19][[role red 2.93[br](123ns)]][[role red 3.50[br](147ns)]][[role green 1.02[br](43ns)]][[role green 1.00[br](42ns)]][[role green 1.12[br](47ns)]][[role green 1.10[br](46ns)]][[role green 1.10[br](46ns)]][[role green 1.10[br](46ns)]]] +[[Order 20][[role red 3.28[br](141ns)]][[role red 3.60[br](155ns)]][[role green 1.00[br](43ns)]][[role green 1.02[br](44ns)]][[role green 1.09[br](47ns)]][[role green 1.14[br](49ns)]][[role green 1.07[br](46ns)]][[role green 1.05[br](45ns)]]] +] +] + +[template table_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[table:table_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Library Comparison with Intel C++ C++0x mode version 1910 on linux +[[Function][boost 1.73][boost 1.73[br]promote_double][tr1/cmath][GSL 2.5][Rmath 3.6.3][math.h]] +[[assoc_laguerre[br](2240/2240 tests selected)][[role green 1.15[br](153ns)]][[role green 1.00[br](133ns)]][[role green 1.09[br](145ns)]][[role blue 1.23[br](163ns)]][[role grey -]][[role grey -]]] +[[assoc_legendre[br](110/400 tests selected)][[role red 7.24[br](268ns)]][[role red 5.59[br](207ns)]][[role green 1.00[br](37ns)]][[role red 3.59[br](133ns)]][[role grey -]][[role grey -]]] +[[beta (incomplete)[br](2682/3210 tests selected)][[role red 2.72[br](1315ns)]][[role green 1.00[br](484ns)]][[role grey -]][[role blue 1.23[br](593ns)]][[role grey -]][[role grey -]]] +[[beta[br](2196/2204 tests selected)][[role red 6.07[br](455ns)]][[role green 1.00[br](75ns)]][[role blue 1.69[br](127ns)]][[role red 3.89[br](292ns)]][[role red 3.04[br](228ns)]][[role grey -]]] +[[cbrt[br](85/85 tests selected)][[role red 2.59[br](44ns)]][[role blue 1.35[br](23ns)]][[role green 1.00[br](17ns)]][[role grey -]][[role grey -]][[role green 1.00[br](17ns)]]] +[[cyl_bessel_i (integer order)[br](494/526 tests selected)][[role red 5.13[br](631ns)]][[role blue 1.59[br](195ns)]][[role green 1.00[br](123ns)]][[role red 2.11[br](260ns)]][[role red 6.95[br](855ns)]][[role grey -]]] +[[cyl_bessel_i[br](177/240 tests selected)][[role red 7.46[br](933ns)]][[role blue 1.87[br](234ns)]][[role green 1.00[br](125ns)]][[role red 4.40[br](550ns)]][[role red 10.35[br](1294ns)]][[role grey -]]] +[[cyl_bessel_j (integer order)[br](241/268 tests selected)][[role red 2.26[br](237ns)]][[role green 1.10[br](115ns)]][[role blue 1.69[br](177ns)]][[role blue 1.64[br](172ns)]][[role red 3.11[br](327ns)]][[role green 1.00[br](105ns)]]] +[[cyl_bessel_j[br](433/451 tests selected)][[role red 3.46[br](857ns)]][[role green 1.13[br](281ns)]][[role green 1.00[br](248ns)]][[role red 2.08[br](517ns)]][[role blue 1.38[br](343ns)]][[role grey -]]] +[[cyl_bessel_k (integer order)[br](505/508 tests selected)][[role red 20.02[br](3423ns)]][[role green 1.00[br](171ns)]][[role red 9.32[br](1594ns)]][[role green 1.15[br](196ns)]][[role blue 1.33[br](227ns)]][[role grey -]]] +[[cyl_bessel_k[br](96/279 tests selected)][[role red 11.76[br](4739ns)]][[role green 1.03[br](416ns)]][[role blue 1.37[br](553ns)]][[role green 1.00[br](403ns)]][[role green 1.06[br](428ns)]][[role grey -]]] +[[cyl_neumann (integer order)[br](424/428 tests selected)][[role red 2.87[br](364ns)]][[role green 1.00[br](127ns)]][[role red 3.83[br](486ns)]][[role red 3.76[br](478ns)]][[role red 6.59[br](837ns)]][[role blue 1.91[br](242ns)]]] +[[cyl_neumann[br](428/450 tests selected)][[role red 18.49[br](9503ns)]][[role red 7.86[br](4041ns)]][[role green 1.00[br](514ns)]][[role blue 1.41[br](726ns)]][[role green 1.17[br](600ns)]][]] +[[digamma[br](1019/1019 tests selected)][[role blue 1.85[br](50ns)]][[role green 1.00[br](27ns)]][[role grey -]][[role red 3.81[br](103ns)]][[role red 8.04[br](217ns)]][[role grey -]]] +[[ellint_1 (complete)[br](109/109 tests selected)][[role blue 1.90[br](38ns)]][[role green 1.00[br](20ns)]][[role red 5.00[br](100ns)]][[role red 9.45[br](189ns)]][[role grey -]][[role grey -]]] +[[ellint_1[br](627/629 tests selected)][[role red 3.22[br](441ns)]][[role green 1.00[br](137ns)]][[role blue 1.28[br](176ns)]][[role red 2.33[br](319ns)]][[role grey -]][[role grey -]]] +[[ellint_2 (complete)[br](109/110 tests selected)][[role blue 2.00[br](48ns)]][[role green 1.00[br](24ns)]][[role red 8.46[br](203ns)]][[role red 15.75[br](378ns)]][[role grey -]][[role grey -]]] +[[ellint_2[br](527/530 tests selected)][[role red 4.36[br](807ns)]][[role green 1.00[br](185ns)]][[role blue 1.40[br](259ns)]][[role red 2.65[br](491ns)]][[role grey -]][[role grey -]]] +[[ellint_3 (complete)[br](0/500 tests selected)][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role grey -]][[role grey -]]] +[[ellint_3[br](22/845 tests selected)][[role red 3.52[br](528ns)]][[role blue 1.24[br](186ns)]][[role green 1.00[br](150ns)]][[role blue 1.53[br](229ns)]][[role grey -]][[role grey -]]] +[[ellint_rc[br](201/201 tests selected)][[role blue 1.83[br](44ns)]][[role green 1.00[br](24ns)]][[role grey -]][[role red 6.21[br](149ns)]][[role grey -]][[role grey -]]] +[[ellint_rd[br](7588/7588 tests selected)][[role red 4.17[br](409ns)]][[role green 1.00[br](98ns)]][[role grey -]][[role red 2.32[br](227ns)]][[role grey -]][[role grey -]]] +[[ellint_rf[br](7788/7788 tests selected)][[role blue 1.85[br](63ns)]][[role green 1.00[br](34ns)]][[role grey -]][[role red 6.35[br](216ns)]][[role grey -]][[role grey -]]] +[[ellint_rj[br](7642/8032 tests selected)][[role red 3.33[br](343ns)]][[role green 1.00[br](103ns)]][[role grey -]][[role red 14.01[br](1443ns)]][[role grey -]][[role grey -]]] +[[erf[br](950/950 tests selected)][[role blue 1.23[br](32ns)]][[role grey -]][[role green 1.00[br](26ns)]][[role red 3.69[br](96ns)]][[role grey -]][[role green 1.00[br](26ns)]]] +[[erfc[br](950/950 tests selected)][[role blue 1.22[br](66ns)]][[role green 1.00[br](54ns)]][[role blue 2.00[br](108ns)]][[role blue 1.72[br](93ns)]][[role grey -]][[role red 2.07[br](112ns)]]] +[[expint (En)[br](1059/1059 tests selected)][[role blue 1.84[br](184ns)]][[role green 1.00[br](100ns)]][[role grey -]][[role red 4.28[br](428ns)]][[role grey -]][[role grey -]]] +[[expint[br](436/436 tests selected)][[role red 2.21[br](64ns)]][[role green 1.00[br](29ns)]][[role red 3.17[br](92ns)]][[role red 5.59[br](162ns)]][[role grey -]][[role grey -]]] +[[expm1[br](80/80 tests selected)][[role blue 1.80[br](18ns)]][[role green 1.00[br](10ns)]][[role blue 1.80[br](18ns)]][[role grey -]][[role grey -]][[role blue 1.80[br](18ns)]]] +[[gamma_p[br](1379/1379 tests selected)][[role red 2.24[br](545ns)]][[role green 1.08[br](262ns)]][[role grey -]][[role blue 1.81[br](440ns)]][[role green 1.00[br](243ns)]][[role grey -]]] +[[gamma_p_inv[br](559/559 tests selected)][[role blue 1.92[br](1883ns)]][[role green 1.00[br](982ns)]][[role grey -]][[role grey -]][[role blue 1.27[br](1244ns)]][[role grey -]]] +[[gamma_q[br](1371/1379 tests selected)][[role red 2.12[br](551ns)]][[role green 1.01[br](263ns)]][[role grey -]][[role blue 1.95[br](507ns)]][[role green 1.00[br](260ns)]][[role grey -]]] +[[gamma_q_inv[br](78/559 tests selected)][[role red 2.17[br](1275ns)]][[role blue 1.26[br](739ns)]][[role grey -]][[role grey -]][[role green 1.00[br](588ns)]][[role grey -]]] +[[ibeta[br](3210/3210 tests selected)][[role red 3.42[br](1453ns)]][[role green 1.16[br](491ns)]][[role grey -]][[role grey -]][[role green 1.00[br](425ns)]][[role grey -]]] +[[ibeta_inv[br](1204/1210 tests selected)][[role red 2.58[br](4437ns)]][[role green 1.00[br](1722ns)]][[role grey -]][[role grey -]][[role red 2.74[br](4715ns)]][[role grey -]]] +[[ibetac[br](3210/3210 tests selected)][[role red 3.63[br](1438ns)]][[role blue 1.37[br](543ns)]][[role grey -]][[role grey -]][[role green 1.00[br](396ns)]][[role grey -]]] +[[ibetac_inv[br](1200/1210 tests selected)][[role red 2.48[br](4131ns)]][[role green 1.00[br](1666ns)]][[role grey -]][[role grey -]][[role red 2.51[br](4183ns)]][[role grey -]]] +[[jacobi_cn[br](2368/2757 tests selected)][[role red 5.15[br](345ns)]][[role blue 1.93[br](129ns)]][[role grey -]][[role green 1.00[br](67ns)]][[role grey -]][[role grey -]]] +[[jacobi_dn[br](2368/2757 tests selected)][[role red 5.43[br](375ns)]][[role blue 2.00[br](138ns)]][[role grey -]][[role green 1.00[br](69ns)]][[role grey -]][[role grey -]]] +[[jacobi_sn[br](2368/2757 tests selected)][[role red 4.72[br](316ns)]][[role blue 1.84[br](123ns)]][[role grey -]][[role green 1.00[br](67ns)]][[role grey -]][[role grey -]]] +[[laguerre[br](280/280 tests selected)][[role green 1.17[br](97ns)]][[role green 1.00[br](83ns)]][[role green 1.11[br](92ns)]][[role blue 1.31[br](109ns)]][[role grey -]][[role grey -]]] +[[legendre Q[br](300/300 tests selected)][[role blue 1.37[br](445ns)]][[role green 1.07[br](347ns)]][[role grey -]][[role green 1.00[br](325ns)]][[role grey -]][[role grey -]]] +[[legendre[br](300/300 tests selected)][[role blue 1.29[br](349ns)]][[role green 1.00[br](270ns)]][[role green 1.07[br](289ns)]][[role blue 1.22[br](330ns)]][[role grey -]][[role grey -]]] +[[lgamma[br](400/400 tests selected)][[role red 3.65[br](190ns)]][[role blue 1.92[br](100ns)]][[role green 1.00[br](52ns)]][[role red 3.29[br](171ns)]][[role blue 2.00[br](104ns)]][[role green 1.00[br](52ns)]]] +[[log1p[br](80/80 tests selected)][[role green 1.12[br](19ns)]][[role green 1.06[br](18ns)]][[role green 1.00[br](17ns)]][[role grey -]][[role grey -]][[role green 1.06[br](18ns)]]] +[[polygamma[br](823/1535 tests selected)][[role red 11.79[br](3985ns)]][[role blue 1.65[br](559ns)]][[role grey -]][[role blue 1.37[br](464ns)]][[role green 1.00[br](338ns)]][[role grey -]]] +[[sph_bessel[br](483/483 tests selected)][[role red 2.12[br](1010ns)]][[role green 1.00[br](476ns)]][[role red 2.70[br](1283ns)]][[role red 2.41[br](1148ns)]][[role grey -]][[role grey -]]] +[[sph_neumann[br](284/284 tests selected)][[role red 7.02[br](2627ns)]][[role red 2.24[br](837ns)]][[role red 5.25[br](1963ns)]][[role green 1.00[br](374ns)]][[role grey -]][]] +[[tgamma (incomplete)[br](1266/1379 tests selected)][[role red 2.21[br](451ns)]][[role green 1.00[br](204ns)]][[role grey -]][[role red 2.25[br](460ns)]][[role grey -]][[role grey -]]] +[[tgamma[br](400/400 tests selected)][[role red 3.32[br](229ns)]][[role blue 1.45[br](100ns)]][[role green 1.01[br](70ns)]][[role blue 1.22[br](84ns)]][[role blue 1.26[br](87ns)]][[role green 1.00[br](69ns)]]] +[[trigamma[br](659/659 tests selected)][[role blue 1.85[br](24ns)]][[role green 1.00[br](13ns)]][[role grey -]][[role red 44.00[br](572ns)]][[role red 20.85[br](271ns)]][[role grey -]]] +[[zeta[br](448/448 tests selected)][[role red 2.75[br](322ns)]][[role green 1.00[br](117ns)]][[role red 638.50[br](74704ns)]][[role blue 1.91[br](224ns)]][][]] +] +] + +[template table_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[table:table_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Distribution performance comparison for different performance options with Clang version 9.0.0 (tags/RELEASE_900/final) on linux +[[Function][boost 1.73][Boost[br]promote_double][Boost[br]promote_double[br]digits10<10>][Boost[br]float[br]promote_float]] +[[ArcSine (CDF)][[role blue 1.53[br](55ns)]][[role blue 1.47[br](53ns)]][[role blue 1.42[br](51ns)]][[role green 1.00[br](36ns)]]] +[[ArcSine (PDF)][[role green 1.05[br](22ns)]][[role green 1.00[br](21ns)]][[role green 1.00[br](21ns)]][[role blue 1.24[br](26ns)]]] +[[ArcSine (quantile)][[role green 1.05[br](40ns)]][[role green 1.05[br](40ns)]][[role green 1.03[br](39ns)]][[role green 1.00[br](38ns)]]] +[[Beta (CDF)][[role red 4.93[br](528ns)]][[role blue 1.50[br](161ns)]][[role green 1.17[br](125ns)]][[role green 1.00[br](107ns)]]] +[[Beta (PDF)][[role red 4.68[br](449ns)]][[role green 1.10[br](106ns)]][[role green 1.07[br](103ns)]][[role green 1.00[br](96ns)]]] +[[Beta (quantile)][[role red 4.83[br](3029ns)]][[role blue 1.43[br](896ns)]][[role blue 1.24[br](775ns)]][[role green 1.00[br](627ns)]]] +[[Binomial (CDF)][[role red 4.12[br](1013ns)]][[role blue 1.68[br](414ns)]][[role green 1.15[br](284ns)]][[role green 1.00[br](246ns)]]] +[[Binomial (PDF)][[role red 3.88[br](435ns)]][[role green 1.00[br](112ns)]][[role green 1.04[br](116ns)]][[role green 1.07[br](120ns)]]] +[[Binomial (quantile)][[role red 3.72[br](4511ns)]][[role blue 1.40[br](1696ns)]][[role green 1.18[br](1432ns)]][[role green 1.00[br](1214ns)]]] +[[Cauchy (CDF)][[role green 1.03[br](31ns)]][[role green 1.13[br](34ns)]][[role green 1.03[br](31ns)]][[role green 1.00[br](30ns)]]] +[[Cauchy (PDF)][[role green 1.14[br](8ns)]][[role blue 1.29[br](9ns)]][[role green 1.00[br](7ns)]][[role blue 1.43[br](10ns)]]] +[[Cauchy (quantile)][[role blue 1.43[br](63ns)]][[role blue 1.41[br](62ns)]][[role blue 1.43[br](63ns)]][[role green 1.00[br](44ns)]]] +[[ChiSquared (CDF)][[role red 4.06[br](1396ns)]][[role blue 1.72[br](592ns)]][[role blue 1.40[br](480ns)]][[role green 1.00[br](344ns)]]] +[[ChiSquared (PDF)][[role red 6.41[br](474ns)]][[role blue 1.34[br](99ns)]][[role blue 1.34[br](99ns)]][[role green 1.00[br](74ns)]]] +[[ChiSquared (quantile)][[role red 4.04[br](2226ns)]][[role blue 1.71[br](942ns)]][[role blue 1.29[br](709ns)]][[role green 1.00[br](551ns)]]] +[[Exponential (CDF)][[role blue 1.30[br](26ns)]][[role blue 1.40[br](28ns)]][[role blue 1.40[br](28ns)]][[role green 1.00[br](20ns)]]] +[[Exponential (PDF)][[role blue 1.67[br](35ns)]][[role blue 1.62[br](34ns)]][[role blue 1.62[br](34ns)]][[role green 1.00[br](21ns)]]] +[[Exponential (quantile)][[role green 1.05[br](22ns)]][[role green 1.05[br](22ns)]][[role green 1.00[br](21ns)]][[role green 1.19[br](25ns)]]] +[[ExtremeValue (CDF)][[role blue 1.62[br](68ns)]][[role blue 1.76[br](74ns)]][[role blue 1.57[br](66ns)]][[role green 1.00[br](42ns)]]] +[[ExtremeValue (PDF)][[role blue 1.71[br](94ns)]][[role blue 1.76[br](97ns)]][[role blue 1.84[br](101ns)]][[role green 1.00[br](55ns)]]] +[[ExtremeValue (quantile)][[role blue 1.49[br](61ns)]][[role blue 1.49[br](61ns)]][[role blue 1.54[br](63ns)]][[role green 1.00[br](41ns)]]] +[[F (CDF)][[role red 4.54[br](949ns)]][[role blue 1.49[br](312ns)]][[role blue 1.22[br](254ns)]][[role green 1.00[br](209ns)]]] +[[F (PDF)][[role red 3.83[br](467ns)]][[role green 1.03[br](126ns)]][[role green 1.07[br](131ns)]][[role green 1.00[br](122ns)]]] +[[F (quantile)][[role red 3.19[br](3273ns)]][[role green 1.15[br](1175ns)]][[role green 1.00[br](1026ns)]][[role green 1.00[br](1029ns)]]] +[[Gamma (CDF)][[role red 4.10[br](812ns)]][[role blue 1.51[br](299ns)]][[role blue 1.35[br](268ns)]][[role green 1.00[br](198ns)]]] +[[Gamma (PDF)][[role red 6.25[br](581ns)]][[role blue 1.38[br](128ns)]][[role blue 1.38[br](128ns)]][[role green 1.00[br](93ns)]]] +[[Gamma (quantile)][[role red 5.02[br](2155ns)]][[role blue 1.86[br](797ns)]][[role blue 1.64[br](703ns)]][[role green 1.00[br](429ns)]]] +[[Geometric (CDF)][[role green 1.15[br](30ns)]][[role blue 1.23[br](32ns)]][[role green 1.19[br](31ns)]][[role green 1.00[br](26ns)]]] +[[Geometric (PDF)][[role blue 1.56[br](25ns)]][[role blue 1.50[br](24ns)]][[role blue 1.56[br](25ns)]][[role green 1.00[br](16ns)]]] +[[Geometric (quantile)][[role green 1.07[br](30ns)]][[role green 1.04[br](29ns)]][[role green 1.00[br](28ns)]][[role green 1.04[br](29ns)]]] +[[Hypergeometric (CDF)][[role red 2.36[br](9837ns)]][[role green 1.17[br](4879ns)]][[role green 1.00[br](4160ns)]][[role green 1.04[br](4306ns)]]] +[[Hypergeometric (PDF)][[role red 2.41[br](9697ns)]][[role blue 1.24[br](5007ns)]][[role green 1.00[br](4032ns)]][[role green 1.05[br](4240ns)]]] +[[Hypergeometric (quantile)][[role green 1.00[br](58085ns)]][[role blue 1.27[br](73637ns)]][[role blue 1.31[br](75953ns)]][[role green 1.01[br](58776ns)]]] +[[InverseChiSquared (CDF)][[role red 4.12[br](1398ns)]][[role blue 1.72[br](582ns)]][[role blue 1.36[br](460ns)]][[role green 1.00[br](339ns)]]] +[[InverseChiSquared (PDF)][[role red 5.68[br](392ns)]][[role blue 1.32[br](91ns)]][[role blue 1.30[br](90ns)]][[role green 1.00[br](69ns)]]] +[[InverseChiSquared (quantile)][[role red 4.06[br](2045ns)]][[role blue 1.78[br](896ns)]][[role blue 1.34[br](676ns)]][[role green 1.00[br](504ns)]]] +[[InverseGamma (CDF)][[role red 4.08[br](726ns)]][[role blue 1.44[br](256ns)]][[role blue 1.28[br](227ns)]][[role green 1.00[br](178ns)]]] +[[InverseGamma (PDF)][[role red 6.47[br](511ns)]][[role blue 1.44[br](114ns)]][[role blue 1.39[br](110ns)]][[role green 1.00[br](79ns)]]] +[[InverseGamma (quantile)][[role red 5.07[br](1867ns)]][[role blue 1.83[br](673ns)]][[role blue 1.26[br](465ns)]][[role green 1.00[br](368ns)]]] +[[InverseGaussian (CDF)][[role red 2.13[br](209ns)]][[role red 2.14[br](210ns)]][[role red 2.14[br](210ns)]][[role green 1.00[br](98ns)]]] +[[InverseGaussian (PDF)][[role blue 1.46[br](19ns)]][[role blue 1.46[br](19ns)]][[role blue 1.46[br](19ns)]][[role green 1.00[br](13ns)]]] +[[InverseGaussian (quantile)][[role red 2.82[br](3346ns)]][[role red 2.77[br](3291ns)]][[role red 2.55[br](3028ns)]][[role green 1.00[br](1187ns)]]] +[[Laplace (CDF)][[role blue 1.62[br](34ns)]][[role blue 1.62[br](34ns)]][[role blue 1.62[br](34ns)]][[role green 1.00[br](21ns)]]] +[[Laplace (PDF)][[role blue 1.50[br](33ns)]][[role blue 1.50[br](33ns)]][[role blue 1.55[br](34ns)]][[role green 1.00[br](22ns)]]] +[[Laplace (quantile)][[role green 1.10[br](32ns)]][[role green 1.10[br](32ns)]][[role green 1.10[br](32ns)]][[role green 1.00[br](29ns)]]] +[[LogNormal (CDF)][[role red 2.44[br](200ns)]][[role blue 1.28[br](105ns)]][[role blue 1.28[br](105ns)]][[role green 1.00[br](82ns)]]] +[[LogNormal (PDF)][[role blue 1.54[br](57ns)]][[role blue 1.54[br](57ns)]][[role blue 1.51[br](56ns)]][[role green 1.00[br](37ns)]]] +[[LogNormal (quantile)][[role blue 1.71[br](89ns)]][[role blue 1.29[br](67ns)]][[role blue 1.29[br](67ns)]][[role green 1.00[br](52ns)]]] +[[Logistic (CDF)][[role blue 1.48[br](34ns)]][[role blue 1.52[br](35ns)]][[role blue 1.48[br](34ns)]][[role green 1.00[br](23ns)]]] +[[Logistic (PDF)][[role blue 1.57[br](36ns)]][[role blue 1.57[br](36ns)]][[role blue 1.57[br](36ns)]][[role green 1.00[br](23ns)]]] +[[Logistic (quantile)][[role blue 1.45[br](32ns)]][[role blue 1.41[br](31ns)]][[role blue 1.45[br](32ns)]][[role green 1.00[br](22ns)]]] +[[NegativeBinomial (CDF)][[role red 4.76[br](1324ns)]][[role blue 1.59[br](441ns)]][[role blue 1.23[br](342ns)]][[role green 1.00[br](278ns)]]] +[[NegativeBinomial (PDF)][[role red 3.92[br](412ns)]][[role green 1.02[br](107ns)]][[role green 1.00[br](105ns)]][[role green 1.06[br](111ns)]]] +[[NegativeBinomial (quantile)][[role red 3.74[br](7442ns)]][[role blue 1.21[br](2416ns)]][[role green 1.00[br](1990ns)]][[role blue 1.30[br](2580ns)]]] +[[NonCentralBeta (CDF)][[role red 5.37[br](2211ns)]][[role blue 1.51[br](624ns)]][[role blue 1.33[br](548ns)]][[role green 1.00[br](412ns)]]] +[[NonCentralBeta (PDF)][[role red 4.52[br](1513ns)]][[role blue 1.31[br](438ns)]][[role green 1.18[br](394ns)]][[role green 1.00[br](335ns)]]] +[[NonCentralBeta (quantile)][[role red 8.41[br](54735ns)]][[role red 2.07[br](13467ns)]][[role blue 1.80[br](11743ns)]][[role green 1.00[br](6512ns)]]] +[[NonCentralChiSquared (CDF)][[role red 2.90[br](4049ns)]][[role blue 1.70[br](2377ns)]][[role blue 1.37[br](1913ns)]][[role green 1.00[br](1398ns)]]] +[[NonCentralChiSquared (PDF)][[role red 4.06[br](1085ns)]][[role blue 1.72[br](459ns)]][[role blue 1.68[br](449ns)]][[role green 1.00[br](267ns)]]] +[[NonCentralChiSquared (quantile)][[role red 5.10[br](32034ns)]][[role red 2.39[br](15008ns)]][[role blue 1.59[br](10018ns)]][[role green 1.00[br](6282ns)]]] +[[NonCentralF (CDF)][[role red 5.20[br](2153ns)]][[role blue 1.42[br](586ns)]][[role blue 1.25[br](517ns)]][[role green 1.00[br](414ns)]]] +[[NonCentralF (PDF)][[role red 4.93[br](1707ns)]][[role blue 1.33[br](460ns)]][[role blue 1.23[br](426ns)]][[role green 1.00[br](346ns)]]] +[[NonCentralF (quantile)][[role red 6.06[br](32648ns)]][[role blue 1.63[br](8799ns)]][[role blue 1.37[br](7357ns)]][[role green 1.00[br](5388ns)]]] +[[NonCentralT (CDF)][[role red 5.02[br](7196ns)]][[role blue 1.72[br](2471ns)]][[role blue 1.52[br](2173ns)]][[role green 1.00[br](1434ns)]]] +[[NonCentralT (PDF)][[role red 4.14[br](4411ns)]][[role blue 1.91[br](2032ns)]][[role blue 1.76[br](1874ns)]][[role green 1.00[br](1065ns)]]] +[[NonCentralT (quantile)][[role red 5.91[br](75131ns)]][[role blue 1.92[br](24461ns)]][[role blue 1.49[br](18991ns)]][[role green 1.00[br](12722ns)]]] +[[Normal (CDF)][[role red 2.18[br](190ns)]][[role 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random numbers)][[role green 1.00[br](57843834ns)]][[role red 2.22[br](128347576ns)]][[role red 4.01[br](232125718ns)]][[role red 2.73[br](157946120ns)]][[role blue 1.73[br](100083314ns)]][[role red 2.38[br](137578188ns)]]] +[[gcd (Trivial cases)][[role green 1.00[br](771ns)]][[role blue 1.28[br](984ns)]][[role red 5.51[br](4252ns)]][[role red 5.43[br](4190ns)]][[role blue 1.41[br](1085ns)]][[role blue 1.38[br](1063ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role green 1.00[br](4907753ns)]][[role red 4.50[br](22061395ns)]][[role red 7.46[br](36606776ns)]][[role red 5.03[br](24695288ns)]][[role red 2.25[br](11056629ns)]][[role red 5.76[br](28255185ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.00[br](2569685620ns)]][[role red 2.68[br](6887193468ns)]][[role red 7.91[br](20331779133ns)]][[role red 3.97[br](10198797773ns)]][[role red 2.63[br](6747343835ns)]][[role red 3.30[br](8478369599ns)]]] +[[gcd (random prime number products)][[role green 1.00[br](986082ns)]][[role blue 1.63[br](1603509ns)]][[role red 11.35[br](11190786ns)]][[role red 2.61[br](2573628ns)]][[role red 3.37[br](3319471ns)]][[role blue 1.86[br](1829568ns)]]] +[[gcd (uniform random numbers)][[role green 1.00[br](6689919ns)]][[role red 3.46[br](23155310ns)]][[role red 6.88[br](46057252ns)]][[role red 4.71[br](31522751ns)]][[role red 2.07[br](13863298ns)]][[role red 3.78[br](25290302ns)]]] +[[gcd (Trivial cases)][[role green 1.00[br](868ns)]][[role green 1.17[br](1017ns)]][[role red 4.34[br](3764ns)]][[role red 4.27[br](3706ns)]][[role blue 1.31[br](1140ns)]][[role blue 1.21[br](1053ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role green 1.00[br](10603742ns)]][[role red 5.11[br](54200684ns)]][[role red 5.92[br](62735542ns)]][[role red 3.95[br](41907607ns)]][[role blue 1.73[br](18291946ns)]][[role red 5.92[br](62759901ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.00[br](5860606852ns)]][[role blue 1.32[br](7728722262ns)]][[role red 6.26[br](36672119649ns)]][[role red 2.05[br](12000430526ns)]][[role blue 1.87[br](10957442182ns)]][[role blue 1.42[br](8338173362ns)]]] +[[gcd (random prime number products)][[role green 1.00[br](1149285ns)]][[role blue 1.66[br](1910911ns)]][[role red 10.39[br](11943413ns)]][[role red 2.46[br](2830809ns)]][[role red 2.99[br](3438268ns)]][[role blue 1.83[br](2097821ns)]]] +[[gcd (uniform random numbers)][[role green 1.00[br](20626676ns)]][[role red 2.64[br](54415409ns)]][[role red 4.75[br](97897985ns)]][[role red 3.29[br](67763507ns)]][[role blue 1.53[br](31637289ns)]][[role red 2.75[br](56745031ns)]]] +[[gcd (Trivial cases)][[role green 1.09[br](380ns)]][[role green 1.14[br](399ns)]][[role green 1.00[br](349ns)]][[role green 1.11[br](388ns)]][[role green 1.09[br](382ns)]][[role green 1.09[br](380ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role blue 1.74[br](22176ns)]][[role red 7.59[br](96816ns)]][[role green 1.04[br](13309ns)]][[role blue 1.74[br](22173ns)]][[role green 1.00[br](12750ns)]][[role red 7.21[br](91885ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.00[br](1221766ns)]][[role blue 1.48[br](1807486ns)]][[role green 1.14[br](1395171ns)]][[role green 1.04[br](1271944ns)]][[role red 2.40[br](2933294ns)]][[role blue 1.43[br](1741131ns)]]] +[[gcd (random prime number products)][[role green 1.14[br](263894ns)]][[role red 2.07[br](477276ns)]][[role green 1.00[br](230568ns)]][[role green 1.08[br](248254ns)]][[role red 2.30[br](530956ns)]][[role red 2.12[br](489669ns)]]] +[[gcd (uniform random numbers)][[role blue 1.69[br](493158ns)]][[role red 2.91[br](846524ns)]][[role green 1.00[br](291345ns)]][[role blue 1.70[br](495636ns)]][[role red 2.50[br](729527ns)]][[role red 2.86[br](833672ns)]]] +[[gcd (Trivial cases)][[role green 1.08[br](382ns)]][[role green 1.13[br](398ns)]][[role green 1.00[br](353ns)]][[role green 1.08[br](382ns)]][[role green 1.10[br](387ns)]][[role green 1.07[br](377ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role blue 1.76[br](21777ns)]][[role red 7.68[br](94907ns)]][[role green 1.07[br](13260ns)]][[role blue 1.74[br](21476ns)]][[role green 1.00[br](12354ns)]][[role red 7.29[br](90049ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.00[br](1235993ns)]][[role blue 1.50[br](1848327ns)]][[role green 1.19[br](1472470ns)]][[role green 1.04[br](1279710ns)]][[role red 2.46[br](3040947ns)]][[role blue 1.44[br](1781416ns)]]] +[[gcd (random prime number products)][[role green 1.13[br](274762ns)]][[role red 2.03[br](494734ns)]][[role green 1.00[br](243421ns)]][[role green 1.07[br](261272ns)]][[role red 2.26[br](550984ns)]][[role blue 1.97[br](478381ns)]]] +[[gcd (uniform random numbers)][[role blue 1.70[br](501279ns)]][[role red 2.86[br](842495ns)]][[role green 1.00[br](295074ns)]][[role blue 1.67[br](494223ns)]][[role red 2.43[br](717178ns)]][[role red 2.90[br](854718ns)]]] +[[gcd (Trivial cases)][[role green 1.07[br](358ns)]][[role green 1.05[br](350ns)]][[role green 1.07[br](357ns)]][[role green 1.10[br](369ns)]][[role green 1.14[br](381ns)]][[role green 1.00[br](334ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role green 1.07[br](1131ns)]][[role red 3.25[br](3432ns)]][[role green 1.00[br](1057ns)]][[role green 1.06[br](1116ns)]][[role blue 1.24[br](1306ns)]][[role red 2.95[br](3120ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.00[br](18455ns)]][[role blue 1.54[br](28458ns)]][[role green 1.15[br](21253ns)]][[role blue 1.29[br](23735ns)]][[role blue 1.77[br](32640ns)]][[role blue 1.45[br](26779ns)]]] +[[gcd (random prime number products)][[role green 1.00[br](74261ns)]][[role blue 1.47[br](109229ns)]][[role green 1.13[br](83929ns)]][[role green 1.00[br](74368ns)]][[role red 2.55[br](189130ns)]][[role blue 1.46[br](108614ns)]]] +[[gcd (uniform random numbers)][[role green 1.05[br](98813ns)]][[role blue 1.65[br](154744ns)]][[role green 1.08[br](100929ns)]][[role green 1.00[br](93744ns)]][[role red 2.39[br](224169ns)]][[role blue 1.61[br](151037ns)]]] +[[gcd (Trivial cases)][[role green 1.03[br](344ns)]][[role green 1.00[br](333ns)]][[role green 1.05[br](349ns)]][[role green 1.17[br](391ns)]][[role blue 1.23[br](409ns)]][[role green 1.04[br](345ns)]]] +[[gcd (adjacent Fibonacci numbers)][[role blue 1.29[br](4355ns)]][[role red 4.98[br](16847ns)]][[role green 1.00[br](3386ns)]][[role blue 1.20[br](4077ns)]][[role green 1.05[br](3543ns)]][[role red 4.78[br](16178ns)]]] +[[gcd (permutations of Fibonacci numbers)][[role green 1.05[br](145315ns)]][[role blue 1.68[br](232879ns)]][[role blue 1.35[br](187305ns)]][[role green 1.00[br](138730ns)]][[role red 2.77[br](384819ns)]][[role blue 1.61[br](223908ns)]]] +[[gcd (random prime number products)][[role green 1.04[br](129896ns)]][[role blue 1.86[br](231942ns)]][[role green 1.09[br](136790ns)]][[role green 1.00[br](124969ns)]][[role red 2.36[br](295192ns)]][[role blue 1.89[br](236358ns)]]] +[[gcd (uniform random numbers)][[role blue 1.36[br](222042ns)]][[role red 2.12[br](345828ns)]][[role green 1.00[br](163385ns)]][[role blue 1.28[br](209481ns)]][[role red 2.39[br](390325ns)]][[role red 2.18[br](356622ns)]]] +] +] + +[template table_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_[] +[table:table_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_ Polynomial Arithmetic (Clang version 9.0.0 (tags/RELEASE_900/final), linux) +[[Function][boost::uint64_t][double][cpp_int]] +[[operator *][[role blue 1.61[br](502ns)]][[role green 1.00[br](312ns)]][[role red 34.02[br](10615ns)]]] +[[operator * (int)][[role green 1.09[br](118ns)]][[role green 1.00[br](108ns)]][[role red 10.12[br](1093ns)]]] +[[operator *=][[role blue 1.73[br](215039ns)]][[role green 1.00[br](124223ns)]][[role red 34.02[br](4226250ns)]]] +[[operator *= (int)][[role green 1.03[br](14581ns)]][[role green 1.00[br](14118ns)]][[role red 26.28[br](371028ns)]]] +[[operator +][[role green 1.16[br](181ns)]][[role green 1.00[br](156ns)]][[role red 8.81[br](1374ns)]]] +[[operator + (int)][[role green 1.04[br](94ns)]][[role green 1.00[br](90ns)]][[role red 6.01[br](541ns)]]] +[[operator +=][[role green 1.06[br](17ns)]][[role green 1.00[br](16ns)]][[role red 35.06[br](561ns)]]] +[[operator += (int)][[role green 1.20[br](6ns)]][[role green 1.00[br](5ns)]][[role red 26.40[br](132ns)]]] +[[operator -][[role green 1.06[br](165ns)]][[role green 1.00[br](156ns)]][[role red 9.38[br](1464ns)]]] +[[operator - (int)][[role green 1.04[br](95ns)]][[role green 1.00[br](91ns)]][[role red 5.86[br](533ns)]]] +[[operator -=][[role green 1.00[br](16ns)]][[role green 1.00[br](16ns)]][[role red 36.56[br](585ns)]]] +[[operator -= (int)][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]][[role red 20.83[br](125ns)]]] +[[operator /][[role red 2.50[br](1065ns)]][[role green 1.00[br](426ns)]][[role red 56.04[br](23872ns)]]] +[[operator / (int)][[role green 1.12[br](122ns)]][[role green 1.00[br](109ns)]][[role red 17.12[br](1866ns)]]] +[[operator /=][[role blue 1.36[br](15ns)]][[role green 1.00[br](11ns)]][[role red 236.27[br](2599ns)]]] +[[operator /= (int)][[role green 1.00[br](643ns)]][[role red 23.58[br](15164ns)]][[role red 4107.46[br](2641094ns)]]] +] +] + +[template table_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[table:table_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Rational Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role blue 2.00[br](24ns)]][[role red 2.08[br](25ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]]] +[[Order 3][[role blue 1.58[br](30ns)]][[role blue 1.89[br](36ns)]][[role blue 1.47[br](28ns)]][[role blue 1.53[br](29ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role blue 1.58[br](30ns)]]] +[[Order 4][[role blue 1.48[br](37ns)]][[role blue 1.88[br](47ns)]][[role blue 1.44[br](36ns)]][[role blue 1.52[br](38ns)]][[role green 1.04[br](26ns)]][[role green 1.00[br](25ns)]][[role blue 1.24[br](31ns)]][[role green 1.04[br](26ns)]]] +[[Order 5][[role green 1.00[br](44ns)]][[role blue 1.32[br](58ns)]][[role green 1.11[br](49ns)]][[role red 2.16[br](95ns)]][[role green 1.18[br](52ns)]][[role blue 1.98[br](87ns)]][[role blue 1.25[br](55ns)]][[role blue 2.00[br](88ns)]]] +[[Order 6][[role green 1.00[br](53ns)]][[role blue 1.30[br](69ns)]][[role blue 1.45[br](77ns)]][[role red 2.21[br](117ns)]][[role blue 1.45[br](77ns)]][[role blue 1.64[br](87ns)]][[role blue 1.51[br](80ns)]][[role blue 1.72[br](91ns)]]] +[[Order 7][[role green 1.00[br](81ns)]][[role blue 1.36[br](110ns)]][[role green 1.10[br](89ns)]][[role blue 1.78[br](144ns)]][[role green 1.09[br](88ns)]][[role blue 1.26[br](102ns)]][[role green 1.04[br](84ns)]][[role blue 1.25[br](101ns)]]] +[[Order 8][[role green 1.01[br](88ns)]][[role blue 1.32[br](115ns)]][[role green 1.15[br](100ns)]][[role blue 1.90[br](165ns)]][[role green 1.11[br](97ns)]][[role blue 1.25[br](109ns)]][[role green 1.00[br](87ns)]][[role blue 1.22[br](106ns)]]] +[[Order 9][[role green 1.00[br](91ns)]][[role blue 1.37[br](125ns)]][[role blue 1.30[br](118ns)]][[role red 2.08[br](189ns)]][[role green 1.15[br](105ns)]][[role blue 1.31[br](119ns)]][[role green 1.01[br](92ns)]][[role blue 1.21[br](110ns)]]] +[[Order 10][[role green 1.00[br](94ns)]][[role blue 1.30[br](122ns)]][[role blue 1.39[br](131ns)]][[role red 2.29[br](215ns)]][[role blue 1.20[br](113ns)]][[role blue 1.44[br](135ns)]][[role green 1.05[br](99ns)]][[role blue 1.23[br](116ns)]]] +[[Order 11][[role green 1.03[br](108ns)]][[role blue 1.35[br](142ns)]][[role blue 1.44[br](151ns)]][[role red 2.25[br](236ns)]][[role blue 1.23[br](129ns)]][[role blue 1.40[br](147ns)]][[role green 1.00[br](105ns)]][[role blue 1.24[br](130ns)]]] +[[Order 12][[role green 1.03[br](120ns)]][[role blue 1.33[br](154ns)]][[role blue 1.46[br](169ns)]][[role red 2.27[br](263ns)]][[role green 1.16[br](134ns)]][[role blue 1.39[br](161ns)]][[role green 1.00[br](116ns)]][[role blue 1.27[br](147ns)]]] +[[Order 13][[role green 1.07[br](129ns)]][[role blue 1.54[br](186ns)]][[role blue 1.49[br](180ns)]][[role red 2.41[br](292ns)]][[role blue 1.24[br](150ns)]][[role blue 1.45[br](176ns)]][[role green 1.00[br](121ns)]][[role blue 1.40[br](170ns)]]] +[[Order 14][[role green 1.00[br](139ns)]][[role blue 1.32[br](183ns)]][[role blue 1.48[br](206ns)]][[role red 2.22[br](308ns)]][[role blue 1.26[br](175ns)]][[role blue 1.37[br](191ns)]][[role green 1.01[br](140ns)]][[role green 1.16[br](161ns)]]] +[[Order 15][[role green 1.04[br](147ns)]][[role blue 1.45[br](206ns)]][[role blue 1.61[br](229ns)]][[role red 2.39[br](340ns)]][[role blue 1.20[br](171ns)]][[role blue 1.41[br](200ns)]][[role green 1.00[br](142ns)]][[role green 1.18[br](167ns)]]] +[[Order 16][[role green 1.03[br](157ns)]][[role blue 1.40[br](214ns)]][[role blue 1.52[br](233ns)]][[role red 2.33[br](357ns)]][[role blue 1.21[br](185ns)]][[role blue 1.49[br](228ns)]][[role green 1.00[br](153ns)]][[role green 1.18[br](180ns)]]] +[[Order 17][[role green 1.02[br](179ns)]][[role blue 1.25[br](218ns)]][[role blue 1.45[br](253ns)]][[role red 2.17[br](380ns)]][[role green 1.16[br](203ns)]][[role blue 1.36[br](238ns)]][[role green 1.00[br](175ns)]][[role green 1.10[br](192ns)]]] +[[Order 18][[role blue 1.21[br](201ns)]][[role blue 1.40[br](232ns)]][[role blue 1.64[br](272ns)]][[role red 2.42[br](402ns)]][[role blue 1.24[br](206ns)]][[role blue 1.60[br](266ns)]][[role green 1.00[br](166ns)]][[role blue 1.20[br](200ns)]]] +[[Order 19][[role blue 1.24[br](211ns)]][[role blue 1.48[br](252ns)]][[role blue 1.74[br](295ns)]][[role red 2.49[br](423ns)]][[role blue 1.41[br](240ns)]][[role blue 1.59[br](271ns)]][[role green 1.00[br](170ns)]][[role blue 1.21[br](205ns)]]] +[[Order 20][[role blue 1.27[br](223ns)]][[role blue 1.67[br](294ns)]][[role blue 1.86[br](327ns)]][[role red 2.70[br](475ns)]][[role blue 1.34[br](235ns)]][[role blue 1.56[br](274ns)]][[role green 1.00[br](176ns)]][[role blue 1.21[br](213ns)]]] +] +] + +[template table_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[table:table_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Polynomial Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role green 1.20[br](6ns)]][[role green 1.20[br](6ns)]][[role green 1.20[br](6ns)]][[role green 1.20[br](6ns)]][[role green 1.00[br](5ns)]][[role green 1.00[br](5ns)]]] +[[Order 3][[role blue 2.00[br](16ns)]][[role red 3.00[br](24ns)]][[role green 1.12[br](9ns)]][[role green 1.12[br](9ns)]][[role green 1.12[br](9ns)]][[role blue 1.25[br](10ns)]][[role green 1.00[br](8ns)]][[role green 1.00[br](8ns)]]] +[[Order 4][[role blue 1.83[br](22ns)]][[role red 2.67[br](32ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]][[role green 1.08[br](13ns)]][[role green 1.08[br](13ns)]][[role green 1.00[br](12ns)]][[role green 1.00[br](12ns)]]] +[[Order 5][[role green 1.12[br](19ns)]][[role blue 1.71[br](29ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]][[role green 1.06[br](18ns)]][[role green 1.12[br](19ns)]][[role green 1.00[br](17ns)]][[role green 1.00[br](17ns)]]] +[[Order 6][[role blue 1.45[br](29ns)]][[role red 2.05[br](41ns)]][[role blue 1.30[br](26ns)]][[role blue 1.30[br](26ns)]][[role green 1.10[br](22ns)]][[role green 1.10[br](22ns)]][[role green 1.00[br](20ns)]][[role green 1.05[br](21ns)]]] +[[Order 7][[role green 1.15[br](31ns)]][[role red 2.22[br](60ns)]][[role blue 1.22[br](33ns)]][[role blue 1.22[br](33ns)]][[role green 1.07[br](29ns)]][[role green 1.07[br](29ns)]][[role green 1.00[br](27ns)]][[role green 1.00[br](27ns)]]] +[[Order 8][[role blue 1.32[br](37ns)]][[role red 2.18[br](61ns)]][[role blue 1.43[br](40ns)]][[role blue 1.36[br](38ns)]][[role green 1.07[br](30ns)]][[role green 1.07[br](30ns)]][[role green 1.00[br](28ns)]][[role green 1.04[br](29ns)]]] +[[Order 9][[role green 1.17[br](42ns)]][[role blue 1.72[br](62ns)]][[role blue 1.36[br](49ns)]][[role blue 1.36[br](49ns)]][[role green 1.06[br](38ns)]][[role green 1.14[br](41ns)]][[role green 1.00[br](36ns)]][[role green 1.00[br](36ns)]]] +[[Order 10][[role blue 1.33[br](48ns)]][[role red 2.19[br](79ns)]][[role blue 1.64[br](59ns)]][[role blue 1.64[br](59ns)]][[role green 1.11[br](40ns)]][[role green 1.08[br](39ns)]][[role green 1.00[br](36ns)]][[role green 1.00[br](36ns)]]] +[[Order 11][[role blue 1.32[br](58ns)]][[role red 2.02[br](89ns)]][[role blue 1.66[br](73ns)]][[role blue 1.68[br](74ns)]][[role green 1.09[br](48ns)]][[role green 1.05[br](46ns)]][[role green 1.05[br](46ns)]][[role green 1.00[br](44ns)]]] +[[Order 12][[role blue 1.42[br](64ns)]][[role red 2.38[br](107ns)]][[role blue 1.89[br](85ns)]][[role blue 1.84[br](83ns)]][[role green 1.04[br](47ns)]][[role green 1.04[br](47ns)]][[role green 1.00[br](45ns)]][[role green 1.00[br](45ns)]]] +[[Order 13][[role blue 1.51[br](71ns)]][[role red 2.21[br](104ns)]][[role blue 1.79[br](84ns)]][[role blue 1.83[br](86ns)]][[role green 1.06[br](50ns)]][[role green 1.11[br](52ns)]][[role green 1.00[br](47ns)]][[role green 1.00[br](47ns)]]] +[[Order 14][[role blue 1.52[br](79ns)]][[role red 2.38[br](124ns)]][[role red 2.02[br](105ns)]][[role blue 1.96[br](102ns)]][[role green 1.08[br](56ns)]][[role green 1.08[br](56ns)]][[role green 1.00[br](52ns)]][[role green 1.00[br](52ns)]]] +[[Order 15][[role blue 1.25[br](91ns)]][[role blue 1.92[br](140ns)]][[role blue 1.56[br](114ns)]][[role blue 1.60[br](117ns)]][[role green 1.07[br](78ns)]][[role green 1.11[br](81ns)]][[role green 1.01[br](74ns)]][[role green 1.00[br](73ns)]]] +[[Order 16][[role blue 1.59[br](100ns)]][[role red 2.51[br](158ns)]][[role blue 1.97[br](124ns)]][[role blue 1.98[br](125ns)]][[role green 1.05[br](66ns)]][[role green 1.06[br](67ns)]][[role green 1.00[br](63ns)]][[role green 1.00[br](63ns)]]] +[[Order 17][[role blue 1.29[br](108ns)]][[role blue 1.90[br](160ns)]][[role blue 1.36[br](114ns)]][[role red 4.58[br](385ns)]][[role green 1.15[br](97ns)]][[role red 2.05[br](172ns)]][[role green 1.00[br](84ns)]][[role blue 1.63[br](137ns)]]] +[[Order 18][[role red 2.22[br](120ns)]][[role red 3.22[br](174ns)]][[role red 2.28[br](123ns)]][[role red 7.74[br](418ns)]][[role green 1.06[br](57ns)]][[role red 2.85[br](154ns)]][[role green 1.00[br](54ns)]][[role red 3.78[br](204ns)]]] +[[Order 19][[role red 2.28[br](130ns)]][[role red 3.28[br](187ns)]][[role red 2.42[br](138ns)]][[role red 7.74[br](441ns)]][[role green 1.07[br](61ns)]][[role red 3.58[br](204ns)]][[role green 1.00[br](57ns)]][[role red 2.67[br](152ns)]]] +[[Order 20][[role red 2.43[br](146ns)]][[role red 3.35[br](201ns)]][[role red 2.53[br](152ns)]][[role red 8.17[br](490ns)]][[role green 1.07[br](64ns)]][[role red 4.12[br](247ns)]][[role green 1.00[br](60ns)]][[role red 2.90[br](174ns)]]] +] +] + +[template table_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[table:table_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Library Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux +[[Function][boost 1.73][boost 1.73[br]promote_double][tr1/cmath][GSL 2.5][Rmath 3.6.3][math.h]] +[[assoc_laguerre[br](2240/2240 tests selected)][[role blue 1.56[br](229ns)]][[role green 1.18[br](174ns)]][[role green 1.00[br](147ns)]][[role green 1.18[br](173ns)]][[role grey -]][[role grey -]]] +[[assoc_legendre[br](110/400 tests selected)][[role red 6.88[br](275ns)]][[role red 2.40[br](96ns)]][[role green 1.00[br](40ns)]][[role red 2.98[br](119ns)]][[role grey -]][[role grey -]]] +[[beta (incomplete)[br](2682/3210 tests selected)][[role red 5.44[br](2267ns)]][[role green 1.00[br](417ns)]][[role grey -]][[role blue 1.50[br](626ns)]][[role grey -]][[role grey -]]] +[[beta[br](2203/2204 tests selected)][[role red 6.09[br](792ns)]][[role green 1.00[br](130ns)]][[role green 1.12[br](146ns)]][[role red 2.52[br](327ns)]][[role blue 1.97[br](256ns)]][[role grey -]]] +[[cbrt[br](85/85 tests selected)][[role blue 1.93[br](54ns)]][[role green 1.00[br](28ns)]][[role green 1.14[br](32ns)]][[role grey -]][[role grey -]][[role green 1.11[br](31ns)]]] +[[cyl_bessel_i (integer order)[br](494/526 tests selected)][[role red 5.87[br](886ns)]][[role green 1.19[br](179ns)]][[role green 1.00[br](151ns)]][[role blue 1.89[br](286ns)]][[role red 5.61[br](847ns)]][[role grey -]]] +[[cyl_bessel_i[br](177/240 tests selected)][[role red 13.08[br](2511ns)]][[role red 2.11[br](406ns)]][[role green 1.00[br](192ns)]][[role red 3.57[br](686ns)]][[role red 7.41[br](1422ns)]][[role grey -]]] +[[cyl_bessel_j (integer order)[br](251/268 tests selected)][[role red 4.73[br](487ns)]][[role green 1.00[br](103ns)]][[role red 5.64[br](581ns)]][[role red 3.75[br](386ns)]][[role red 4.28[br](441ns)]][[role blue 1.46[br](150ns)]]] +[[cyl_bessel_j[br](433/451 tests selected)][[role red 3.69[br](1327ns)]][[role blue 1.21[br](436ns)]][[role green 1.00[br](360ns)]][[role blue 1.62[br](583ns)]][[role green 1.06[br](383ns)]][[role grey -]]] +[[cyl_bessel_k (integer order)[br](505/508 tests selected)][[role red 15.59[br](3382ns)]][[role green 1.00[br](217ns)]][[role red 15.18[br](3294ns)]][[role blue 1.22[br](265ns)]][[role blue 1.28[br](277ns)]][[role grey -]]] +[[cyl_bessel_k[br](96/279 tests selected)][[role red 10.22[br](4414ns)]][[role blue 1.35[br](582ns)]][[role blue 1.64[br](709ns)]][[role green 1.03[br](445ns)]][[role green 1.00[br](432ns)]][[role grey -]]] +[[cyl_neumann (integer order)[br](424/428 tests selected)][[role red 3.90[br](570ns)]][[role green 1.00[br](146ns)]][[role red 4.25[br](620ns)]][[role red 3.47[br](507ns)]][[role red 5.86[br](856ns)]][[role blue 1.35[br](197ns)]]] +[[cyl_neumann[br](428/450 tests selected)][[role red 25.16[br](13059ns)]][[role red 10.16[br](5275ns)]][[role green 1.17[br](609ns)]][[role blue 1.28[br](664ns)]][[role green 1.00[br](519ns)]][]] +[[digamma[br](1019/1019 tests selected)][[role red 2.33[br](84ns)]][[role green 1.00[br](36ns)]][[role grey -]][[role red 2.94[br](106ns)]][[role red 6.19[br](223ns)]][[role grey -]]] +[[ellint_1 (complete)[br](109/109 tests selected)][[role red 5.22[br](120ns)]][[role green 1.00[br](23ns)]][[role red 4.30[br](99ns)]][[role red 8.26[br](190ns)]][[role grey -]][[role grey -]]] +[[ellint_1[br](627/629 tests selected)][[role red 5.58[br](954ns)]][[role green 1.00[br](171ns)]][[role blue 1.22[br](208ns)]][[role blue 1.92[br](329ns)]][[role grey -]][[role grey -]]] +[[ellint_2 (complete)[br](109/110 tests selected)][[role red 5.00[br](150ns)]][[role green 1.00[br](30ns)]][[role red 7.47[br](224ns)]][[role red 14.77[br](443ns)]][[role grey -]][[role grey -]]] +[[ellint_2[br](527/530 tests selected)][[role red 6.59[br](1655ns)]][[role green 1.00[br](251ns)]][[role blue 1.27[br](318ns)]][[role blue 1.97[br](494ns)]][[role grey -]][[role grey -]]] +[[ellint_3 (complete)[br](0/500 tests selected)][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role grey -]][[role grey -]]] +[[ellint_3[br](22/845 tests selected)][[role red 4.07[br](998ns)]][[role green 1.00[br](245ns)]][[role green 1.06[br](259ns)]][[role green 1.20[br](294ns)]][[role grey -]][[role grey -]]] +[[ellint_rc[br](201/201 tests selected)][[role red 3.32[br](113ns)]][[role green 1.00[br](34ns)]][[role grey -]][[role red 4.68[br](159ns)]][[role grey -]][[role grey -]]] +[[ellint_rd[br](7588/7588 tests selected)][[role red 7.08[br](906ns)]][[role green 1.00[br](128ns)]][[role grey -]][[role blue 1.84[br](236ns)]][[role grey -]][[role grey -]]] +[[ellint_rf[br](7788/7788 tests selected)][[role red 3.49[br](157ns)]][[role green 1.00[br](45ns)]][[role grey -]][[role red 5.31[br](239ns)]][[role grey -]][[role grey -]]] +[[ellint_rj[br](7642/8032 tests selected)][[role red 5.48[br](740ns)]][[role green 1.00[br](135ns)]][[role grey -]][[role red 11.13[br](1503ns)]][[role grey -]][[role grey -]]] +[[erf[br](950/950 tests selected)][[role blue 1.83[br](44ns)]][[role grey -]][[role green 1.00[br](24ns)]][[role red 4.08[br](98ns)]][[role grey -]][[role green 1.00[br](24ns)]]] +[[erfc[br](950/950 tests selected)][[role red 4.75[br](133ns)]][[role red 2.43[br](68ns)]][[role green 1.00[br](28ns)]][[role red 3.18[br](89ns)]][[role grey -]][[role green 1.04[br](29ns)]]] +[[expint (En)[br](1059/1059 tests selected)][[role red 2.32[br](276ns)]][[role green 1.00[br](119ns)]][[role grey -]][[role red 3.72[br](443ns)]][[role grey -]][[role grey -]]] +[[expint[br](436/436 tests selected)][[role red 2.21[br](84ns)]][[role green 1.00[br](38ns)]][[role red 2.68[br](102ns)]][[role red 4.00[br](152ns)]][[role grey -]][[role grey -]]] +[[expm1[br](80/80 tests selected)][[role green 1.07[br](15ns)]][[role green 1.00[br](14ns)]][[role green 1.07[br](15ns)]][[role grey -]][[role grey -]][[role green 1.07[br](15ns)]]] +[[gamma_p[br](1379/1379 tests selected)][[role red 3.07[br](749ns)]][[role green 1.04[br](254ns)]][[role grey -]][[role blue 1.69[br](413ns)]][[role green 1.00[br](244ns)]][[role grey -]]] +[[gamma_p_inv[br](559/559 tests selected)][[role red 2.56[br](2676ns)]][[role green 1.00[br](1045ns)]][[role grey -]][[role grey -]][[role green 1.14[br](1196ns)]][[role grey -]]] +[[gamma_q[br](1371/1379 tests selected)][[role red 3.46[br](831ns)]][[role green 1.17[br](280ns)]][[role grey -]][[role red 2.05[br](493ns)]][[role green 1.00[br](240ns)]][[role grey -]]] +[[gamma_q_inv[br](78/559 tests selected)][[role red 3.08[br](2381ns)]][[role blue 1.24[br](962ns)]][[role grey -]][[role grey -]][[role green 1.00[br](773ns)]][[role grey -]]] +[[ibeta[br](3210/3210 tests selected)][[role red 5.41[br](1996ns)]][[role green 1.18[br](434ns)]][[role grey -]][[role grey -]][[role green 1.00[br](369ns)]][[role grey -]]] +[[ibeta_inv[br](1204/1210 tests selected)][[role red 3.38[br](6013ns)]][[role green 1.00[br](1781ns)]][[role grey -]][[role grey -]][[role red 2.85[br](5070ns)]][[role grey -]]] +[[ibetac[br](3210/3210 tests selected)][[role red 5.19[br](2008ns)]][[role green 1.20[br](463ns)]][[role grey -]][[role grey -]][[role green 1.00[br](387ns)]][[role grey -]]] +[[ibetac_inv[br](1201/1210 tests selected)][[role red 3.43[br](5915ns)]][[role green 1.00[br](1722ns)]][[role grey -]][[role grey -]][[role red 2.68[br](4623ns)]][[role grey -]]] +[[jacobi_cn[br](2368/2757 tests selected)][[role red 9.19[br](643ns)]][[role red 2.97[br](208ns)]][[role grey -]][[role green 1.00[br](70ns)]][[role grey -]][[role grey -]]] +[[jacobi_dn[br](2368/2757 tests selected)][[role red 8.42[br](648ns)]][[role red 2.68[br](206ns)]][[role grey -]][[role green 1.00[br](77ns)]][[role grey -]][[role grey -]]] +[[jacobi_sn[br](2368/2757 tests selected)][[role red 8.77[br](640ns)]][[role red 2.90[br](212ns)]][[role grey -]][[role green 1.00[br](73ns)]][[role grey -]][[role grey -]]] +[[laguerre[br](280/280 tests selected)][[role blue 1.27[br](117ns)]][[role green 1.00[br](92ns)]][[role green 1.13[br](104ns)]][[role blue 1.30[br](120ns)]][[role grey -]][[role grey -]]] +[[legendre Q[br](300/300 tests selected)][[role blue 1.21[br](404ns)]][[role green 1.07[br](358ns)]][[role grey -]][[role green 1.00[br](335ns)]][[role grey -]][[role grey -]]] +[[legendre[br](300/300 tests selected)][[role green 1.03[br](304ns)]][[role green 1.11[br](326ns)]][[role green 1.00[br](295ns)]][[role green 1.09[br](323ns)]][[role grey -]][[role grey -]]] +[[lgamma[br](400/400 tests selected)][[role red 7.28[br](386ns)]][[role red 2.34[br](124ns)]][[role green 1.09[br](58ns)]][[role red 4.34[br](230ns)]][[role red 2.15[br](114ns)]][[role green 1.00[br](53ns)]]] +[[log1p[br](80/80 tests selected)][[role green 1.06[br](19ns)]][[role green 1.00[br](18ns)]][[role green 1.11[br](20ns)]][[role grey -]][[role grey -]][[role green 1.00[br](18ns)]]] +[[polygamma[br](823/1535 tests selected)][[role red 9.49[br](3491ns)]][[role blue 1.45[br](532ns)]][[role grey -]][[role blue 1.60[br](590ns)]][[role green 1.00[br](368ns)]][[role grey -]]] +[[sph_bessel[br](483/483 tests selected)][[role red 2.34[br](1574ns)]][[role green 1.00[br](673ns)]][[role red 2.75[br](1848ns)]][[role blue 1.77[br](1192ns)]][[role grey -]][[role grey -]]] +[[sph_neumann[br](284/284 tests selected)][[role red 8.02[br](3009ns)]][[role red 2.70[br](1012ns)]][[role red 6.62[br](2483ns)]][[role green 1.00[br](375ns)]][[role grey -]][]] +[[tgamma (incomplete)[br](1266/1379 tests selected)][[role red 3.41[br](792ns)]][[role green 1.00[br](232ns)]][[role grey -]][[role red 2.13[br](494ns)]][[role grey -]][[role grey -]]] +[[tgamma[br](400/400 tests selected)][[role red 6.63[br](570ns)]][[role blue 1.22[br](105ns)]][[role blue 1.35[br](116ns)]][[role green 1.15[br](99ns)]][[role green 1.00[br](86ns)]][[role blue 1.36[br](117ns)]]] +[[trigamma[br](659/659 tests selected)][[role red 2.67[br](48ns)]][[role green 1.00[br](18ns)]][[role grey -]][[role red 32.83[br](591ns)]][[role red 15.83[br](285ns)]][[role grey -]]] +[[zeta[br](448/448 tests selected)][[role red 4.79[br](623ns)]][[role green 1.00[br](130ns)]][[role red 877.58[br](114085ns)]][[role blue 1.65[br](214ns)]][][]] +] +] + +[template table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux[] +[table:table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux Distribution performance comparison for different performance options with GNU C++ version 9.2.1 20191008 on linux +[[Function][boost 1.73][Boost[br]promote_double][Boost[br]promote_double[br]digits10<10>][Boost[br]float[br]promote_float]] +[[ArcSine (CDF)][[role blue 1.75[br](35ns)]][[role blue 1.65[br](33ns)]][[role blue 1.65[br](33ns)]][[role green 1.00[br](20ns)]]] +[[ArcSine (PDF)][[role green 1.00[br](5ns)]][[role green 1.00[br](5ns)]][[role green 1.00[br](5ns)]][[role green 1.20[br](6ns)]]] +[[ArcSine (quantile)][[role green 1.04[br](24ns)]][[role green 1.00[br](23ns)]][[role green 1.04[br](24ns)]][[role green 1.00[br](23ns)]]] +[[Beta (CDF)][[role red 4.41[br](437ns)]][[role blue 1.40[br](139ns)]][[role blue 1.38[br](137ns)]][[role 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(CDF)][[role green 1.00[br](69ns)]][[role green 1.00[br](69ns)]][[role green 1.10[br](76ns)]][[role green 1.17[br](81ns)]][]] +[[Weibull (PDF)][[role blue 1.27[br](117ns)]][[role blue 1.27[br](117ns)]][[role grey -]][[role green 1.00[br](92ns)]][]] +[[Weibull (quantile)][[role green 1.00[br](69ns)]][[role green 1.00[br](69ns)]][[role green 1.07[br](74ns)]][[role green 1.12[br](77ns)]][]] +] +] + +[template table_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[table:table_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux gcd method comparison with GNU C++ version 9.2.1 20191008 on linux +[[Function][gcd +boost 1.73][Euclid_gcd +boost 1.73][Stein_gcd +boost 1.73][mixed_binary_gcd +boost 1.73][Stein_gcd_textbook +boost 1.73][gcd_euclid_textbook +boost 1.73]] +[[gcd (Trivial cases)][[role green 1.00[br](1139ns)]][[role blue 1.25[br](1422ns)]][[role red 3.97[br](4518ns)]][[role red 3.83[br](4361ns)]][[role blue 1.29[br](1468ns)]][[role green 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+[table:table_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_ Polynomial Arithmetic (GNU C++ version 9.2.1 20191008, linux) +[[Function][boost::uint64_t][double][cpp_int]] +[[operator *][[role blue 1.26[br](556ns)]][[role green 1.00[br](440ns)]][[role red 34.34[br](15111ns)]]] +[[operator * (int)][[role blue 1.24[br](141ns)]][[role green 1.00[br](114ns)]][[role red 8.39[br](956ns)]]] +[[operator *=][[role green 1.07[br](243123ns)]][[role green 1.00[br](226544ns)]][[role red 19.57[br](4434116ns)]]] +[[operator *= (int)][[role green 1.00[br](14901ns)]][[role green 1.02[br](15258ns)]][[role red 24.57[br](366152ns)]]] +[[operator +][[role blue 1.38[br](208ns)]][[role green 1.00[br](151ns)]][[role red 9.46[br](1429ns)]]] +[[operator + (int)][[role green 1.06[br](94ns)]][[role green 1.00[br](89ns)]][[role red 6.16[br](548ns)]]] +[[operator +=][[role green 1.00[br](20ns)]][[role green 1.00[br](20ns)]][[role red 32.55[br](651ns)]]] +[[operator += (int)][[role green 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table_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[table:table_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Rational Method Comparison with GNU C++ version 9.2.1 20191008 on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role blue 1.92[br](23ns)]][[role blue 1.92[br](23ns)]][[role blue 1.25[br](15ns)]][[role green 1.08[br](13ns)]][[role green 1.00[br](12ns)]][[role green 1.08[br](13ns)]]] +[[Order 3][[role blue 1.89[br](36ns)]][[role red 2.21[br](42ns)]][[role blue 1.63[br](31ns)]][[role blue 1.47[br](28ns)]][[role green 1.00[br](19ns)]][[role green 1.00[br](19ns)]][[role green 1.11[br](21ns)]][[role green 1.16[br](22ns)]]] +[[Order 4][[role blue 1.85[br](48ns)]][[role red 2.42[br](63ns)]][[role blue 1.54[br](40ns)]][[role blue 1.54[br](40ns)]][[role green 1.00[br](26ns)]][[role green 1.00[br](26ns)]][[role green 1.04[br](27ns)]][[role green 1.00[br](26ns)]]] +[[Order 5][[role green 1.18[br](59ns)]][[role blue 1.42[br](71ns)]][[role green 1.00[br](50ns)]][[role green 1.00[br](50ns)]][[role green 1.10[br](55ns)]][[role green 1.10[br](55ns)]][[role green 1.12[br](56ns)]][[role green 1.10[br](55ns)]]] +[[Order 6][[role green 1.11[br](69ns)]][[role blue 1.37[br](85ns)]][[role green 1.06[br](66ns)]][[role green 1.00[br](62ns)]][[role green 1.02[br](63ns)]][[role green 1.02[br](63ns)]][[role green 1.05[br](65ns)]][[role green 1.18[br](73ns)]]] +[[Order 7][[role green 1.09[br](81ns)]][[role blue 1.35[br](100ns)]][[role green 1.00[br](74ns)]][[role green 1.00[br](74ns)]][[role green 1.00[br](74ns)]][[role green 1.01[br](75ns)]][[role green 1.03[br](76ns)]][[role green 1.03[br](76ns)]]] +[[Order 8][[role green 1.13[br](96ns)]][[role blue 1.33[br](113ns)]][[role green 1.01[br](86ns)]][[role green 1.00[br](85ns)]][[role green 1.00[br](85ns)]][[role green 1.01[br](86ns)]][[role green 1.01[br](86ns)]][[role green 1.04[br](88ns)]]] +[[Order 9][[role green 1.15[br](108ns)]][[role blue 1.34[br](126ns)]][[role green 1.05[br](99ns)]][[role green 1.05[br](99ns)]][[role green 1.01[br](95ns)]][[role green 1.00[br](94ns)]][[role green 1.02[br](96ns)]][[role green 1.12[br](105ns)]]] +[[Order 10][[role green 1.17[br](123ns)]][[role blue 1.36[br](143ns)]][[role green 1.10[br](115ns)]][[role green 1.10[br](115ns)]][[role green 1.02[br](107ns)]][[role green 1.05[br](110ns)]][[role green 1.01[br](106ns)]][[role green 1.00[br](105ns)]]] +[[Order 11][[role green 1.15[br](135ns)]][[role blue 1.34[br](157ns)]][[role green 1.15[br](134ns)]][[role green 1.09[br](128ns)]][[role green 1.01[br](118ns)]][[role green 1.01[br](118ns)]][[role green 1.00[br](117ns)]][[role green 1.02[br](119ns)]]] +[[Order 12][[role green 1.19[br](150ns)]][[role blue 1.34[br](169ns)]][[role green 1.17[br](148ns)]][[role blue 1.28[br](161ns)]][[role green 1.01[br](127ns)]][[role green 1.00[br](126ns)]][[role green 1.00[br](126ns)]][[role green 1.00[br](126ns)]]] +[[Order 13][[role blue 1.28[br](171ns)]][[role blue 1.40[br](187ns)]][[role blue 1.34[br](180ns)]][[role blue 1.28[br](172ns)]][[role green 1.01[br](136ns)]][[role green 1.00[br](134ns)]][[role green 1.01[br](136ns)]][[role green 1.06[br](142ns)]]] +[[Order 14][[role blue 1.34[br](191ns)]][[role blue 1.43[br](204ns)]][[role blue 1.27[br](181ns)]][[role blue 1.31[br](188ns)]][[role green 1.01[br](144ns)]][[role green 1.03[br](148ns)]][[role green 1.00[br](143ns)]][[role green 1.07[br](153ns)]]] +[[Order 15][[role blue 1.41[br](206ns)]][[role blue 1.50[br](219ns)]][[role blue 1.36[br](199ns)]][[role blue 1.31[br](191ns)]][[role green 1.16[br](169ns)]][[role blue 1.30[br](190ns)]][[role green 1.02[br](149ns)]][[role green 1.00[br](146ns)]]] +[[Order 16][[role blue 1.37[br](217ns)]][[role blue 1.48[br](234ns)]][[role blue 1.32[br](209ns)]][[role blue 1.35[br](213ns)]][[role blue 1.32[br](209ns)]][[role green 1.19[br](188ns)]][[role green 1.00[br](158ns)]][[role green 1.03[br](163ns)]]] +[[Order 17][[role blue 1.36[br](234ns)]][[role blue 1.48[br](254ns)]][[role blue 1.32[br](227ns)]][[role blue 1.30[br](224ns)]][[role green 1.13[br](194ns)]][[role green 1.05[br](180ns)]][[role green 1.00[br](172ns)]][[role green 1.02[br](176ns)]]] +[[Order 18][[role blue 1.37[br](248ns)]][[role blue 1.57[br](284ns)]][[role blue 1.35[br](244ns)]][[role blue 1.39[br](252ns)]][[role green 1.08[br](195ns)]][[role green 1.07[br](193ns)]][[role green 1.02[br](185ns)]][[role green 1.00[br](181ns)]]] +[[Order 19][[role blue 1.40[br](268ns)]][[role blue 1.77[br](338ns)]][[role blue 1.38[br](264ns)]][[role blue 1.40[br](267ns)]][[role green 1.01[br](193ns)]][[role green 1.00[br](191ns)]][[role green 1.02[br](195ns)]][[role green 1.04[br](198ns)]]] +[[Order 20][[role blue 1.39[br](286ns)]][[role blue 1.63[br](336ns)]][[role blue 1.41[br](291ns)]][[role blue 1.45[br](298ns)]][[role green 1.00[br](206ns)]][[role green 1.01[br](208ns)]][[role green 1.03[br](213ns)]][[role green 1.01[br](209ns)]]] +] +] + +[template table_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[table:table_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Polynomial Method Comparison with GNU C++ version 9.2.1 20191008 on linux +[[Function][Method 0[br](Double Coefficients)][Method 0[br](Integer Coefficients)][Method 1[br](Double Coefficients)][Method 1[br](Integer Coefficients)][Method 2[br](Double Coefficients)][Method 2[br](Integer Coefficients)][Method 3[br](Double Coefficients)][Method 3[br](Integer Coefficients)]] +[[Order 2][[role grey -]][[role grey -]][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]][[role green 1.00[br](6ns)]]] +[[Order 3][[role blue 1.70[br](17ns)]][[role red 2.40[br](24ns)]][[role green 1.00[br](10ns)]][[role green 1.00[br](10ns)]][[role green 1.00[br](10ns)]][[role green 1.00[br](10ns)]][[role green 1.00[br](10ns)]][[role green 1.00[br](10ns)]]] +[[Order 4][[role blue 1.85[br](24ns)]][[role red 2.31[br](30ns)]][[role green 1.08[br](14ns)]][[role green 1.08[br](14ns)]][[role green 1.08[br](14ns)]][[role green 1.15[br](15ns)]][[role green 1.00[br](13ns)]][[role green 1.08[br](14ns)]]] +[[Order 5][[role red 2.18[br](37ns)]][[role red 2.41[br](41ns)]][[role green 1.06[br](18ns)]][[role green 1.00[br](17ns)]][[role blue 1.29[br](22ns)]][[role green 1.18[br](20ns)]][[role green 1.12[br](19ns)]][[role green 1.12[br](19ns)]]] +[[Order 6][[role blue 1.68[br](37ns)]][[role red 2.18[br](48ns)]][[role green 1.00[br](22ns)]][[role green 1.00[br](22ns)]][[role green 1.09[br](24ns)]][[role green 1.05[br](23ns)]][[role green 1.05[br](23ns)]][[role green 1.05[br](23ns)]]] +[[Order 7][[role red 2.12[br](55ns)]][[role red 2.35[br](61ns)]][[role green 1.08[br](28ns)]][[role green 1.12[br](29ns)]][[role green 1.04[br](27ns)]][[role green 1.08[br](28ns)]][[role green 1.04[br](27ns)]][[role green 1.00[br](26ns)]]] +[[Order 8][[role blue 1.81[br](56ns)]][[role red 2.42[br](75ns)]][[role green 1.10[br](34ns)]][[role green 1.06[br](33ns)]][[role green 1.10[br](34ns)]][[role green 1.00[br](31ns)]][[role green 1.00[br](31ns)]][[role green 1.00[br](31ns)]]] +[[Order 9][[role blue 1.88[br](64ns)]][[role red 2.56[br](87ns)]][[role blue 1.24[br](42ns)]][[role green 1.18[br](40ns)]][[role green 1.00[br](34ns)]][[role green 1.09[br](37ns)]][[role green 1.03[br](35ns)]][[role green 1.06[br](36ns)]]] +[[Order 10][[role blue 1.70[br](68ns)]][[role red 2.65[br](106ns)]][[role green 1.20[br](48ns)]][[role green 1.20[br](48ns)]][[role green 1.02[br](41ns)]][[role green 1.00[br](40ns)]][[role green 1.02[br](41ns)]][[role green 1.00[br](40ns)]]] +[[Order 11][[role blue 1.91[br](84ns)]][[role red 2.45[br](108ns)]][[role blue 1.25[br](55ns)]][[role blue 1.25[br](55ns)]][[role green 1.02[br](45ns)]][[role green 1.05[br](46ns)]][[role green 1.00[br](44ns)]][[role green 1.02[br](45ns)]]] +[[Order 12][[role blue 1.84[br](92ns)]][[role red 2.56[br](128ns)]][[role blue 1.34[br](67ns)]][[role blue 1.26[br](63ns)]][[role green 1.00[br](50ns)]][[role green 1.06[br](53ns)]][[role green 1.02[br](51ns)]][[role green 1.00[br](50ns)]]] +[[Order 13][[role red 2.02[br](103ns)]][[role red 2.73[br](139ns)]][[role blue 1.37[br](70ns)]][[role blue 1.31[br](67ns)]][[role green 1.08[br](55ns)]][[role green 1.04[br](53ns)]][[role green 1.02[br](52ns)]][[role green 1.00[br](51ns)]]] +[[Order 14][[role red 2.02[br](115ns)]][[role red 2.74[br](156ns)]][[role blue 1.49[br](85ns)]][[role blue 1.44[br](82ns)]][[role green 1.04[br](59ns)]][[role green 1.02[br](58ns)]][[role green 1.00[br](57ns)]][[role green 1.00[br](57ns)]]] +[[Order 15][[role blue 1.89[br](125ns)]][[role red 2.55[br](168ns)]][[role blue 1.41[br](93ns)]][[role blue 1.38[br](91ns)]][[role green 1.00[br](66ns)]][[role green 1.00[br](66ns)]][[role green 1.02[br](67ns)]][[role green 1.03[br](68ns)]]] +[[Order 16][[role blue 1.77[br](136ns)]][[role red 2.40[br](185ns)]][[role blue 1.34[br](103ns)]][[role blue 1.40[br](108ns)]][[role green 1.10[br](85ns)]][[role green 1.06[br](82ns)]][[role green 1.00[br](77ns)]][[role green 1.00[br](77ns)]]] +[[Order 17][[role blue 1.77[br](143ns)]][[role red 2.60[br](211ns)]][[role blue 1.43[br](116ns)]][[role blue 1.44[br](117ns)]][[role green 1.04[br](84ns)]][[role green 1.00[br](81ns)]][[role green 1.02[br](83ns)]][[role green 1.16[br](94ns)]]] +[[Order 18][[role blue 1.85[br](163ns)]][[role red 2.39[br](210ns)]][[role blue 1.47[br](129ns)]][[role blue 1.53[br](135ns)]][[role green 1.00[br](88ns)]][[role green 1.01[br](89ns)]][[role green 1.00[br](88ns)]][[role green 1.00[br](88ns)]]] +[[Order 19][[role red 2.01[br](183ns)]][[role red 2.55[br](232ns)]][[role blue 1.53[br](139ns)]][[role blue 1.53[br](139ns)]][[role green 1.04[br](95ns)]][[role green 1.05[br](96ns)]][[role green 1.00[br](91ns)]][[role green 1.05[br](96ns)]]] +[[Order 20][[role blue 1.94[br](194ns)]][[role red 2.55[br](255ns)]][[role blue 1.48[br](148ns)]][[role blue 1.51[br](151ns)]][[role green 1.00[br](100ns)]][[role green 1.00[br](100ns)]][[role green 1.18[br](118ns)]][[role green 1.03[br](103ns)]]] +] +] + +[template table_Compiler_Comparison_on_linux[] +[table:table_Compiler_Comparison_on_linux Compiler Comparison on linux +[[Function][GNU C++ version 9.2.1 20191008[br]boost 1.73][GNU C++ version 9.2.1 20191008[br]boost 1.73[br]promote_double][Clang version 9.0.0 (tags/RELEASE_900/final)[br]boost 1.73][Clang version 9.0.0 (tags/RELEASE_900/final)[br]boost 1.73[br]promote_double][Intel C++ C++0x mode version 1910[br]boost 1.73][Intel C++ C++0x mode version 1910[br]boost 1.73[br]promote_double]] +[[assoc_laguerre][[role green 1.17[br](156ns)]][[role green 1.08[br](143ns)]][[role blue 1.72[br](229ns)]][[role blue 1.31[br](174ns)]][[role green 1.15[br](153ns)]][[role green 1.00[br](133ns)]]] +[[assoc_legendre][[role red 2.91[br](279ns)]][[role blue 1.78[br](171ns)]][[role red 2.86[br](275ns)]][[role green 1.00[br](96ns)]][[role red 2.79[br](268ns)]][[role red 2.16[br](207ns)]]] +[[beta][[role red 10.52[br](789ns)]][[role blue 1.40[br](105ns)]][[role red 10.56[br](792ns)]][[role blue 1.73[br](130ns)]][[role red 6.07[br](455ns)]][[role green 1.00[br](75ns)]]] +[[beta (incomplete)][[role red 4.98[br](2076ns)]][[role blue 1.26[br](524ns)]][[role red 5.44[br](2267ns)]][[role green 1.00[br](417ns)]][[role red 3.15[br](1315ns)]][[role green 1.16[br](484ns)]]] +[[cbrt][[role red 2.52[br](58ns)]][[role green 1.09[br](25ns)]][[role red 2.35[br](54ns)]][[role blue 1.22[br](28ns)]][[role blue 1.91[br](44ns)]][[role green 1.00[br](23ns)]]] +[[cyl_bessel_i][[role red 5.05[br](1182ns)]][[role green 1.02[br](239ns)]][[role red 10.73[br](2511ns)]][[role blue 1.74[br](406ns)]][[role red 3.99[br](933ns)]][[role green 1.00[br](234ns)]]] +[[cyl_bessel_i (integer order)][[role red 4.41[br](767ns)]][[role green 1.00[br](174ns)]][[role red 5.09[br](886ns)]][[role green 1.03[br](179ns)]][[role red 3.63[br](631ns)]][[role green 1.12[br](195ns)]]] +[[cyl_bessel_j][[role red 3.80[br](1067ns)]][[role blue 1.28[br](359ns)]][[role red 4.72[br](1327ns)]][[role blue 1.55[br](436ns)]][[role red 3.05[br](857ns)]][[role green 1.00[br](281ns)]]] +[[cyl_bessel_j (integer order)][[role red 3.10[br](319ns)]][[role green 1.05[br](108ns)]][[role red 4.73[br](487ns)]][[role green 1.00[br](103ns)]][[role red 2.30[br](237ns)]][[role green 1.12[br](115ns)]]] +[[cyl_bessel_k][[role red 10.37[br](3962ns)]][[role green 1.00[br](382ns)]][[role red 11.55[br](4414ns)]][[role blue 1.52[br](582ns)]][[role red 12.41[br](4739ns)]][[role green 1.09[br](416ns)]]] +[[cyl_bessel_k (integer order)][[role red 19.23[br](3289ns)]][[role green 1.06[br](181ns)]][[role red 19.78[br](3382ns)]][[role blue 1.27[br](217ns)]][[role red 20.02[br](3423ns)]][[role green 1.00[br](171ns)]]] +[[cyl_neumann][[role red 2.18[br](8826ns)]][[role green 1.19[br](4814ns)]][[role red 3.23[br](13059ns)]][[role blue 1.31[br](5275ns)]][[role red 2.35[br](9503ns)]][[role green 1.00[br](4041ns)]]] +[[cyl_neumann (integer order)][[role red 3.67[br](466ns)]][[role blue 1.35[br](172ns)]][[role red 4.49[br](570ns)]][[role green 1.15[br](146ns)]][[role red 2.87[br](364ns)]][[role green 1.00[br](127ns)]]] +[[digamma][[role red 2.30[br](62ns)]][[role blue 1.30[br](35ns)]][[role red 3.11[br](84ns)]][[role blue 1.33[br](36ns)]][[role blue 1.85[br](50ns)]][[role green 1.00[br](27ns)]]] +[[ellint_1][[role red 2.26[br](310ns)]][[role green 1.12[br](154ns)]][[role red 6.96[br](954ns)]][[role blue 1.25[br](171ns)]][[role red 3.22[br](441ns)]][[role green 1.00[br](137ns)]]] +[[ellint_1 (complete)][[role red 4.65[br](93ns)]][[role red 3.15[br](63ns)]][[role red 6.00[br](120ns)]][[role green 1.15[br](23ns)]][[role blue 1.90[br](38ns)]][[role green 1.00[br](20ns)]]] +[[ellint_2][[role red 3.81[br](704ns)]][[role blue 1.28[br](236ns)]][[role red 8.95[br](1655ns)]][[role blue 1.36[br](251ns)]][[role red 4.36[br](807ns)]][[role green 1.00[br](185ns)]]] +[[ellint_2 (complete)][[role blue 1.83[br](44ns)]][[role green 1.04[br](25ns)]][[role red 6.25[br](150ns)]][[role blue 1.25[br](30ns)]][[role blue 2.00[br](48ns)]][[role green 1.00[br](24ns)]]] +[[ellint_3][[role red 3.27[br](609ns)]][[role green 1.17[br](217ns)]][[role red 5.37[br](998ns)]][[role blue 1.32[br](245ns)]][[role red 2.84[br](528ns)]][[role green 1.00[br](186ns)]]] +[[ellint_3 (complete)][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]]] +[[ellint_rc][[role red 2.75[br](66ns)]][[role blue 1.29[br](31ns)]][[role red 4.71[br](113ns)]][[role blue 1.42[br](34ns)]][[role blue 1.83[br](44ns)]][[role green 1.00[br](24ns)]]] +[[ellint_rd][[role red 4.37[br](428ns)]][[role blue 1.31[br](128ns)]][[role red 9.24[br](906ns)]][[role blue 1.31[br](128ns)]][[role red 4.17[br](409ns)]][[role green 1.00[br](98ns)]]] +[[ellint_rf][[role red 2.47[br](84ns)]][[role blue 1.44[br](49ns)]][[role red 4.62[br](157ns)]][[role blue 1.32[br](45ns)]][[role blue 1.85[br](63ns)]][[role green 1.00[br](34ns)]]] +[[ellint_rj][[role red 4.14[br](426ns)]][[role blue 1.36[br](140ns)]][[role red 7.18[br](740ns)]][[role blue 1.31[br](135ns)]][[role red 3.33[br](343ns)]][[role green 1.00[br](103ns)]]] +[[erf][[role blue 1.69[br](54ns)]][[role blue 1.28[br](41ns)]][[role red 2.56[br](82ns)]][[role blue 1.38[br](44ns)]][[role blue 1.34[br](43ns)]][[role green 1.00[br](32ns)]]] +[[erfc][[role blue 1.65[br](89ns)]][[role blue 1.20[br](65ns)]][[role red 2.46[br](133ns)]][[role blue 1.26[br](68ns)]][[role blue 1.22[br](66ns)]][[role green 1.00[br](54ns)]]] +[[expint][[role red 2.93[br](85ns)]][[role blue 1.45[br](42ns)]][[role red 2.90[br](84ns)]][[role blue 1.31[br](38ns)]][[role red 2.21[br](64ns)]][[role green 1.00[br](29ns)]]] +[[expint (En)][[role red 2.42[br](242ns)]][[role green 1.14[br](114ns)]][[role red 2.76[br](276ns)]][[role green 1.19[br](119ns)]][[role blue 1.84[br](184ns)]][[role green 1.00[br](100ns)]]] +[[expm1][[role blue 1.90[br](19ns)]][[role blue 1.60[br](16ns)]][[role blue 1.50[br](15ns)]][[role blue 1.40[br](14ns)]][[role blue 1.80[br](18ns)]][[role green 1.00[br](10ns)]]] +[[gamma_p][[role red 2.43[br](618ns)]][[role green 1.02[br](260ns)]][[role red 2.95[br](749ns)]][[role green 1.00[br](254ns)]][[role red 2.15[br](545ns)]][[role green 1.03[br](262ns)]]] +[[gamma_p_inv][[role red 2.37[br](2328ns)]][[role green 1.06[br](1038ns)]][[role red 2.73[br](2676ns)]][[role green 1.06[br](1045ns)]][[role blue 1.92[br](1883ns)]][[role green 1.00[br](982ns)]]] +[[gamma_q][[role red 2.49[br](629ns)]][[role green 1.00[br](253ns)]][[role red 3.28[br](831ns)]][[role green 1.11[br](280ns)]][[role red 2.18[br](551ns)]][[role green 1.04[br](263ns)]]] +[[gamma_q_inv][[role red 2.73[br](2016ns)]][[role blue 1.30[br](958ns)]][[role red 3.22[br](2381ns)]][[role blue 1.30[br](962ns)]][[role blue 1.73[br](1275ns)]][[role green 1.00[br](739ns)]]] +[[ibeta][[role red 4.56[br](1979ns)]][[role blue 1.21[br](524ns)]][[role red 4.60[br](1996ns)]][[role green 1.00[br](434ns)]][[role red 3.35[br](1453ns)]][[role green 1.13[br](491ns)]]] +[[ibeta_inv][[role red 3.22[br](5552ns)]][[role green 1.10[br](1902ns)]][[role red 3.49[br](6013ns)]][[role green 1.03[br](1781ns)]][[role red 2.58[br](4437ns)]][[role green 1.00[br](1722ns)]]] +[[ibetac][[role red 4.34[br](2008ns)]][[role blue 1.27[br](590ns)]][[role red 4.34[br](2008ns)]][[role green 1.00[br](463ns)]][[role red 3.11[br](1438ns)]][[role green 1.17[br](543ns)]]] +[[ibetac_inv][[role red 3.32[br](5533ns)]][[role green 1.11[br](1853ns)]][[role red 3.55[br](5915ns)]][[role green 1.03[br](1722ns)]][[role red 2.48[br](4131ns)]][[role green 1.00[br](1666ns)]]] +[[jacobi_cn][[role red 3.74[br](483ns)]][[role blue 1.26[br](163ns)]][[role red 4.98[br](643ns)]][[role blue 1.61[br](208ns)]][[role red 2.67[br](345ns)]][[role green 1.00[br](129ns)]]] +[[jacobi_dn][[role red 3.64[br](503ns)]][[role blue 1.25[br](173ns)]][[role red 4.70[br](648ns)]][[role blue 1.49[br](206ns)]][[role red 2.72[br](375ns)]][[role green 1.00[br](138ns)]]] +[[jacobi_sn][[role red 4.99[br](614ns)]][[role blue 1.46[br](180ns)]][[role red 5.20[br](640ns)]][[role blue 1.72[br](212ns)]][[role red 2.57[br](316ns)]][[role green 1.00[br](123ns)]]] +[[laguerre][[role green 1.11[br](92ns)]][[role green 1.08[br](90ns)]][[role blue 1.41[br](117ns)]][[role green 1.11[br](92ns)]][[role green 1.17[br](97ns)]][[role green 1.00[br](83ns)]]] +[[legendre][[role green 1.12[br](282ns)]][[role green 1.00[br](251ns)]][[role blue 1.21[br](304ns)]][[role blue 1.30[br](326ns)]][[role blue 1.39[br](349ns)]][[role green 1.08[br](270ns)]]] +[[legendre Q][[role blue 1.24[br](390ns)]][[role green 1.00[br](314ns)]][[role blue 1.29[br](404ns)]][[role green 1.14[br](358ns)]][[role blue 1.42[br](445ns)]][[role green 1.11[br](347ns)]]] +[[lgamma][[role red 2.65[br](265ns)]][[role green 1.17[br](117ns)]][[role red 3.86[br](386ns)]][[role blue 1.24[br](124ns)]][[role blue 1.90[br](190ns)]][[role green 1.00[br](100ns)]]] +[[log1p][[role green 1.11[br](20ns)]][[role blue 1.22[br](22ns)]][[role green 1.06[br](19ns)]][[role green 1.00[br](18ns)]][[role green 1.06[br](19ns)]][[role green 1.00[br](18ns)]]] +[[polygamma][[role red 16.70[br](8883ns)]][[role blue 1.42[br](756ns)]][[role red 6.56[br](3491ns)]][[role green 1.00[br](532ns)]][[role red 7.49[br](3985ns)]][[role green 1.05[br](559ns)]]] +[[sph_bessel][[role red 2.36[br](1122ns)]][[role blue 1.24[br](588ns)]][[role red 3.31[br](1574ns)]][[role blue 1.41[br](673ns)]][[role red 2.12[br](1010ns)]][[role green 1.00[br](476ns)]]] +[[sph_neumann][[role red 3.40[br](2842ns)]][[role blue 1.21[br](1015ns)]][[role red 3.59[br](3009ns)]][[role blue 1.21[br](1012ns)]][[role red 3.14[br](2627ns)]][[role green 1.00[br](837ns)]]] +[[tgamma][[role red 4.72[br](472ns)]][[role blue 1.44[br](144ns)]][[role red 5.70[br](570ns)]][[role green 1.05[br](105ns)]][[role red 2.29[br](229ns)]][[role green 1.00[br](100ns)]]] +[[tgamma (incomplete)][[role red 3.28[br](669ns)]][[role green 1.13[br](231ns)]][[role red 3.88[br](792ns)]][[role green 1.14[br](232ns)]][[role red 2.21[br](451ns)]][[role green 1.00[br](204ns)]]] +[[trigamma][[role red 2.08[br](25ns)]][[role green 1.00[br](12ns)]][[role red 4.00[br](48ns)]][[role blue 1.50[br](18ns)]][[role blue 2.00[br](24ns)]][[role green 1.08[br](13ns)]]] +[[zeta][[role red 4.21[br](455ns)]][[role green 1.00[br](108ns)]][[role red 5.77[br](623ns)]][[role blue 1.20[br](130ns)]][[role red 2.98[br](322ns)]][[role green 1.08[br](117ns)]]] +] +] + +[template table_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[table:table_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Library Comparison with GNU C++ version 9.2.1 20191008 on linux +[[Function][boost 1.73][boost 1.73[br]promote_double][tr1/cmath][GSL 2.5][Rmath 3.6.3][math.h]] +[[assoc_laguerre[br](2240/2240 tests selected)][[role green 1.09[br](156ns)]][[role green 1.00[br](143ns)]][[role green 1.03[br](148ns)]][[role green 1.16[br](166ns)]][[role grey -]][[role grey -]]] +[[assoc_legendre[br](110/400 tests selected)][[role red 7.75[br](279ns)]][[role red 4.75[br](171ns)]][[role green 1.00[br](36ns)]][[role red 3.25[br](117ns)]][[role grey -]][[role grey -]]] +[[beta (incomplete)[br](2682/3210 tests selected)][[role red 3.96[br](2076ns)]][[role green 1.00[br](524ns)]][[role grey -]][[role green 1.20[br](628ns)]][[role grey -]][[role grey -]]] +[[beta[br](2203/2204 tests selected)][[role red 7.51[br](789ns)]][[role green 1.00[br](105ns)]][[role blue 1.38[br](145ns)]][[role red 3.14[br](330ns)]][[role red 2.27[br](238ns)]][[role grey -]]] +[[cbrt[br](85/85 tests selected)][[role red 2.32[br](58ns)]][[role green 1.00[br](25ns)]][[role blue 1.28[br](32ns)]][[role grey -]][[role grey -]][[role blue 1.24[br](31ns)]]] +[[cyl_bessel_i (integer order)[br](494/526 tests selected)][[role red 4.76[br](767ns)]][[role green 1.08[br](174ns)]][[role green 1.00[br](161ns)]][[role blue 1.83[br](295ns)]][[role red 5.25[br](845ns)]][[role grey -]]] +[[cyl_bessel_i[br](177/240 tests selected)][[role red 7.12[br](1182ns)]][[role blue 1.44[br](239ns)]][[role green 1.00[br](166ns)]][[role red 4.14[br](688ns)]][[role red 7.92[br](1315ns)]][[role grey -]]] +[[cyl_bessel_j (integer order)[br](251/268 tests selected)][[role red 2.95[br](319ns)]][[role green 1.00[br](108ns)]][[role red 2.19[br](237ns)]][[role blue 1.73[br](187ns)]][[role red 3.59[br](388ns)]][[role blue 1.39[br](150ns)]]] +[[cyl_bessel_j[br](433/451 tests selected)][[role red 3.16[br](1067ns)]][[role green 1.06[br](359ns)]][[role green 1.00[br](338ns)]][[role blue 1.65[br](558ns)]][[role green 1.09[br](368ns)]][[role grey -]]] +[[cyl_bessel_k (integer order)[br](505/508 tests selected)][[role red 18.17[br](3289ns)]][[role green 1.00[br](181ns)]][[role red 9.73[br](1761ns)]][[role green 1.10[br](200ns)]][[role blue 1.31[br](238ns)]][[role grey -]]] +[[cyl_bessel_k[br](96/279 tests selected)][[role red 10.37[br](3962ns)]][[role green 1.00[br](382ns)]][[role blue 1.83[br](700ns)]][[role green 1.02[br](389ns)]][[role green 1.09[br](416ns)]][[role grey -]]] +[[cyl_neumann (integer order)[br](424/428 tests selected)][[role red 2.71[br](466ns)]][[role green 1.00[br](172ns)]][[role red 3.95[br](679ns)]][[role red 3.03[br](522ns)]][[role red 5.05[br](869ns)]][[role blue 1.31[br](225ns)]]] +[[cyl_neumann[br](428/450 tests selected)][[role red 14.08[br](8826ns)]][[role red 7.68[br](4814ns)]][[role blue 1.21[br](757ns)]][[role blue 1.26[br](789ns)]][[role green 1.00[br](627ns)]][[role grey -]]] +[[digamma[br](1019/1019 tests selected)][[role blue 1.77[br](62ns)]][[role green 1.00[br](35ns)]][[role grey -]][[role red 2.97[br](104ns)]][[role red 6.20[br](217ns)]][[role grey -]]] +[[ellint_1 (complete)[br](109/109 tests selected)][[role blue 1.48[br](93ns)]][[role green 1.00[br](63ns)]][[role blue 1.56[br](98ns)]][[role red 3.03[br](191ns)]][[role grey -]][[role grey -]]] +[[ellint_1[br](627/629 tests selected)][[role red 2.01[br](310ns)]][[role green 1.00[br](154ns)]][[role blue 1.24[br](191ns)]][[role red 2.13[br](328ns)]][[role grey -]][[role grey -]]] +[[ellint_2 (complete)[br](109/110 tests selected)][[role blue 1.76[br](44ns)]][[role green 1.00[br](25ns)]][[role red 8.76[br](219ns)]][[role red 15.24[br](381ns)]][[role grey -]][[role grey -]]] +[[ellint_2[br](527/530 tests selected)][[role red 2.98[br](704ns)]][[role green 1.00[br](236ns)]][[role blue 1.25[br](294ns)]][[role red 2.15[br](507ns)]][[role grey -]][[role grey -]]] +[[ellint_3 (complete)[br](0/500 tests selected)][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role green -nan[br](0ns)]][[role grey -]][[role grey -]]] +[[ellint_3[br](22/845 tests selected)][[role red 3.52[br](609ns)]][[role blue 1.25[br](217ns)]][[role green 1.00[br](173ns)]][[role blue 1.36[br](235ns)]][[role grey -]][[role grey -]]] +[[ellint_rc[br](201/201 tests selected)][[role red 2.13[br](66ns)]][[role green 1.00[br](31ns)]][[role grey -]][[role red 5.03[br](156ns)]][[role grey -]][[role grey -]]] +[[ellint_rd[br](7588/7588 tests selected)][[role red 3.34[br](428ns)]][[role green 1.00[br](128ns)]][[role grey -]][[role blue 1.88[br](240ns)]][[role grey -]][[role grey -]]] +[[ellint_rf[br](7788/7788 tests selected)][[role blue 1.71[br](84ns)]][[role green 1.00[br](49ns)]][[role grey -]][[role red 4.65[br](228ns)]][[role grey -]][[role grey -]]] +[[ellint_rj[br](7642/8032 tests selected)][[role red 3.04[br](426ns)]][[role green 1.00[br](140ns)]][[role grey -]][[role red 10.84[br](1518ns)]][[role grey -]][[role grey -]]] +[[erf[br](950/950 tests selected)][[role blue 1.71[br](41ns)]][[role grey -]][[role green 1.00[br](24ns)]][[role red 4.21[br](101ns)]][[role grey -]][[role green 1.00[br](24ns)]]] +[[erfc[br](950/950 tests selected)][[role red 3.18[br](89ns)]][[role red 2.32[br](65ns)]][[role green 1.00[br](28ns)]][[role red 3.32[br](93ns)]][[role grey -]][[role green 1.00[br](28ns)]]] +[[expint (En)[br](1059/1059 tests selected)][[role red 2.12[br](242ns)]][[role green 1.00[br](114ns)]][[role grey -]][[role red 3.86[br](440ns)]][[role grey -]][[role grey -]]] +[[expint[br](436/436 tests selected)][[role red 2.02[br](85ns)]][[role green 1.00[br](42ns)]][[role red 2.60[br](109ns)]][[role red 4.10[br](172ns)]][[role grey -]][[role grey -]]] +[[expm1[br](80/80 tests selected)][[role green 1.19[br](19ns)]][[role green 1.00[br](16ns)]][[role green 1.00[br](16ns)]][[role grey -]][[role grey -]][[role green 1.06[br](17ns)]]] +[[gamma_p[br](1379/1379 tests selected)][[role red 2.64[br](618ns)]][[role green 1.11[br](260ns)]][[role grey -]][[role blue 1.79[br](420ns)]][[role green 1.00[br](234ns)]][[role grey -]]] +[[gamma_p_inv[br](559/559 tests selected)][[role red 2.24[br](2328ns)]][[role green 1.00[br](1038ns)]][[role grey -]][[role grey -]][[role green 1.17[br](1211ns)]][[role grey -]]] +[[gamma_q[br](1371/1379 tests selected)][[role red 2.59[br](629ns)]][[role green 1.04[br](253ns)]][[role grey -]][[role red 2.02[br](492ns)]][[role green 1.00[br](243ns)]][[role grey -]]] +[[gamma_q_inv[br](78/559 tests selected)][[role red 2.57[br](2016ns)]][[role blue 1.22[br](958ns)]][[role grey -]][[role grey -]][[role green 1.00[br](783ns)]][[role grey -]]] +[[ibeta[br](3210/3210 tests selected)][[role red 5.33[br](1979ns)]][[role blue 1.41[br](524ns)]][[role grey -]][[role grey -]][[role green 1.00[br](371ns)]][[role grey -]]] +[[ibeta_inv[br](1204/1210 tests selected)][[role red 2.92[br](5552ns)]][[role green 1.00[br](1902ns)]][[role grey -]][[role grey -]][[role red 2.73[br](5188ns)]][[role grey -]]] +[[ibetac[br](3210/3210 tests selected)][[role red 4.44[br](2008ns)]][[role blue 1.31[br](590ns)]][[role grey -]][[role grey -]][[role green 1.00[br](452ns)]][[role grey -]]] +[[ibetac_inv[br](1201/1210 tests selected)][[role red 2.99[br](5533ns)]][[role green 1.00[br](1853ns)]][[role grey -]][[role grey -]][[role red 2.43[br](4504ns)]][[role grey -]]] +[[jacobi_cn[br](2368/2757 tests selected)][[role red 7.00[br](483ns)]][[role red 2.36[br](163ns)]][[role grey -]][[role green 1.00[br](69ns)]][[role grey -]][[role grey -]]] +[[jacobi_dn[br](2368/2757 tests selected)][[role red 7.19[br](503ns)]][[role red 2.47[br](173ns)]][[role grey -]][[role green 1.00[br](70ns)]][[role grey -]][[role grey -]]] +[[jacobi_sn[br](2368/2757 tests selected)][[role red 6.20[br](614ns)]][[role blue 1.82[br](180ns)]][[role grey -]][[role green 1.00[br](99ns)]][[role grey -]][[role grey -]]] +[[laguerre[br](280/280 tests selected)][[role green 1.02[br](92ns)]][[role green 1.00[br](90ns)]][[role green 1.10[br](99ns)]][[role blue 1.49[br](134ns)]][[role grey -]][[role grey -]]] +[[legendre Q[br](300/300 tests selected)][[role blue 1.24[br](390ns)]][[role green 1.00[br](314ns)]][[role grey -]][[role green 1.08[br](340ns)]][[role grey -]][[role grey -]]] +[[legendre[br](300/300 tests selected)][[role green 1.12[br](282ns)]][[role green 1.00[br](251ns)]][[role green 1.16[br](290ns)]][[role blue 1.31[br](328ns)]][[role grey -]][[role grey -]]] +[[lgamma[br](400/400 tests selected)][[role red 5.30[br](265ns)]][[role red 2.34[br](117ns)]][[role green 1.04[br](52ns)]][[role red 4.08[br](204ns)]][[role red 2.08[br](104ns)]][[role green 1.00[br](50ns)]]] +[[log1p[br](80/80 tests selected)][[role green 1.18[br](20ns)]][[role blue 1.29[br](22ns)]][[role green 1.00[br](17ns)]][[role grey -]][[role grey -]][[role green 1.00[br](17ns)]]] +[[polygamma[br](823/1535 tests selected)][[role red 23.31[br](8883ns)]][[role blue 1.98[br](756ns)]][[role grey -]][[role blue 1.57[br](598ns)]][[role green 1.00[br](381ns)]][[role grey -]]] +[[sph_bessel[br](483/483 tests selected)][[role blue 1.91[br](1122ns)]][[role green 1.00[br](588ns)]][[role red 3.14[br](1844ns)]][[role blue 1.96[br](1155ns)]][[role grey -]][[role grey -]]] +[[sph_neumann[br](284/284 tests selected)][[role red 7.16[br](2842ns)]][[role red 2.56[br](1015ns)]][[role red 7.44[br](2953ns)]][[role green 1.00[br](397ns)]][[role grey -]][[role grey -]]] +[[tgamma (incomplete)[br](1266/1379 tests selected)][[role red 2.90[br](669ns)]][[role green 1.00[br](231ns)]][[role grey -]][[role red 2.19[br](505ns)]][[role grey -]][[role grey -]]] +[[tgamma[br](400/400 tests selected)][[role red 4.10[br](472ns)]][[role blue 1.25[br](144ns)]][[role blue 1.33[br](153ns)]][[role green 1.03[br](118ns)]][[role green 1.00[br](115ns)]][[role blue 1.57[br](180ns)]]] +[[trigamma[br](659/659 tests selected)][[role red 2.08[br](25ns)]][[role green 1.00[br](12ns)]][[role grey -]][[role red 53.75[br](645ns)]][[role red 30.92[br](371ns)]][[role grey -]]] +[[zeta[br](448/448 tests selected)][[role red 4.21[br](455ns)]][[role green 1.00[br](108ns)]][[role red 1078.95[br](116527ns)]][[role red 2.03[br](219ns)]][[role grey -]][[role grey -]]] +] +] + [template table_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_[] [table:table_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_ Polynomial Arithmetic (GNU C++ version 9.2.0, Windows x64) [[Function][boost::uint64_t][double][cpp_int]] @@ -732,6 +1879,138 @@ boost 1.73]] [/sections:] +[template section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux Distribution performance comparison for different performance options with Intel C++ C++0x mode version 1910 on linux] +[table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Distribution performance comparison with Intel C++ C++0x mode version 1910 on linux] +[table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux gcd method comparison with Intel C++ C++0x mode version 1910 on linux] +[table_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_[] +[section:section_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_ Polynomial Arithmetic (Intel C++ C++0x mode version 1910, linux)] +[table_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_] +[endsect] +] + +[template section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Rational Method Comparison with Intel C++ C++0x mode version 1910 on linux] +[table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Polynomial Method Comparison with Intel C++ C++0x mode version 1910 on linux] +[table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux[] +[section:section_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux Library Comparison with Intel C++ C++0x mode version 1910 on linux] +[table_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] +[endsect] +] + +[template section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Distribution performance comparison for different performance options with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_Distribution_performance_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_Distribution_performance_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Distribution performance comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_Distribution_performance_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_gcd_method_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_gcd_method_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux gcd method comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_gcd_method_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_[] +[section:section_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_ Polynomial Arithmetic (Clang version 9.0.0 (tags/RELEASE_900/final), linux)] +[table_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_] +[endsect] +] + +[template section_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Rational Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Polynomial Method Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux[] +[section:section_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux Library Comparison with Clang version 9.0.0 (tags/RELEASE_900/final) on linux] +[table_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] +[endsect] +] + +[template section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux Distribution performance comparison for different performance options with GNU C++ version 9.2.1 20191008 on linux] +[table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + +[template section_Distribution_performance_comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_Distribution_performance_comparison_with_GNU_C_version_9_2_1_20191008_on_linux Distribution performance comparison with GNU C++ version 9.2.1 20191008 on linux] +[table_Distribution_performance_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + +[template section_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux gcd method comparison with GNU C++ version 9.2.1 20191008 on linux] +[table_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + +[template section_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_[] +[section:section_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_ Polynomial Arithmetic (GNU C++ version 9.2.1 20191008, linux)] +[table_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_] +[endsect] +] + +[template section_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Rational Method Comparison with GNU C++ version 9.2.1 20191008 on linux] +[table_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + +[template section_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Polynomial Method Comparison with GNU C++ version 9.2.1 20191008 on linux] +[table_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + +[template section_Compiler_Comparison_on_linux[] +[section:section_Compiler_Comparison_on_linux Compiler Comparison on linux] +[table_Compiler_Comparison_on_linux] +[endsect] +] + +[template section_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux[] +[section:section_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux Library Comparison with GNU C++ version 9.2.1 20191008 on linux] +[table_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[endsect] +] + [template section_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_[] [section:section_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_ Polynomial Arithmetic (GNU C++ version 9.2.0, Windows x64)] [table_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_] @@ -831,38 +2110,82 @@ boost 1.73]] [template performance_all_sections[] [section_Compiler_Comparison_on_Windows_x64] +[section_Compiler_Comparison_on_linux] [section_Compiler_Option_Comparison_on_Windows_x64] +[section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[section_Distribution_performance_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_Distribution_performance_comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_Distribution_performance_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[section_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_Library_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_Library_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[section_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_] [section_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_] +[section_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_] +[section_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_] [section_Polynomial_Arithmetic_Microsoft_Visual_C_version_14_2_Windows_x64_] +[section_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_Polynomial_Method_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[section_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_Rational_Method_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[section_gcd_method_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [section_gcd_method_comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[section_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[section_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [section_gcd_method_comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] ] [template performance_all_tables[] [table_Compiler_Comparison_on_Windows_x64] +[table_Compiler_Comparison_on_linux] [table_Compiler_Option_Comparison_on_Windows_x64] +[table_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[table_Distribution_performance_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_Distribution_performance_comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_Distribution_performance_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[table_Library_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_Library_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_Library_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_Library_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_Library_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[table_Polynomial_Arithmetic_Clang_version_9_0_0_tags_RELEASE_900_final_linux_] [table_Polynomial_Arithmetic_GNU_C_version_9_2_0_Windows_x64_] +[table_Polynomial_Arithmetic_GNU_C_version_9_2_1_20191008_linux_] +[table_Polynomial_Arithmetic_Intel_C_C_0x_mode_version_1910_linux_] [table_Polynomial_Arithmetic_Microsoft_Visual_C_version_14_2_Windows_x64_] +[table_Polynomial_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_Polynomial_Method_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_Polynomial_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[table_Rational_Method_Comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_Rational_Method_Comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_Rational_Method_Comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] +[table_gcd_method_comparison_with_Clang_version_9_0_0_tags_RELEASE_900_final_on_linux] [table_gcd_method_comparison_with_GNU_C_version_9_2_0_on_Windows_x64] +[table_gcd_method_comparison_with_GNU_C_version_9_2_1_20191008_on_linux] +[table_gcd_method_comparison_with_Intel_C_C_0x_mode_version_1910_on_linux] [table_gcd_method_comparison_with_Microsoft_Visual_C_version_14_2_on_Windows_x64] ] diff --git a/reporting/performance/table_helper.hpp b/reporting/performance/table_helper.hpp index e9eca81ba..1eb3a5c1a 100644 --- a/reporting/performance/table_helper.hpp +++ b/reporting/performance/table_helper.hpp @@ -70,7 +70,7 @@ extern "C" { extern void cdfnor(int*, double*, double*, double*, double*, double*, int*, double*); extern void cdfpoi(int*, double*, double*, double*, double*, int*, double*); extern void cdft(int*, double*, double*, double*, double*, int*, double*); - extern void cdftnc(int*, double*, double*, double*, double*, double*, int*, double*); + //extern void cdftnc(int*, double*, double*, double*, double*, double*, int*, double*); } inline double dcdflib_beta_cdf(double x, double a, double b) @@ -272,7 +272,7 @@ inline double dcdflib_t_quantile(double p, double param) cdft(&what, &p, &q, &x, ¶m, &status, &bound); return x; } - +/* inline double dcdflib_t_n_cdf(double x, double param, double nc) { int what = 1; @@ -290,7 +290,7 @@ inline double dcdflib_t_n_quantile(double p, double param, double nc) cdftnc(&what, &p, &q, &x, ¶m, &nc, &status, &bound); return x; } - +*/ #endif extern std::vector > data; diff --git a/reporting/performance/test_distributions.cpp b/reporting/performance/test_distributions.cpp index 016df73f0..ddd72ee96 100644 --- a/reporting/performance/test_distributions.cpp +++ b/reporting/performance/test_distributions.cpp @@ -735,8 +735,8 @@ int main() students_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_cdf(x, v[0]); }, "CDF", "DCDFLIB"); students_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_quantile(x, v[0]); }, "quantile", "DCDFLIB", true); - non_central_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_n_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB"); - non_central_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_n_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true); + //non_central_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_n_cdf(x, v[0], v[1]); }, "CDF", "DCDFLIB"); + //non_central_t.run_timed_tests([](const std::vector& v, double x) { return dcdflib_t_n_quantile(x, v[0], v[1]); }, "quantile", "DCDFLIB", true); #endif }