#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r15770 = 2.0f; float r15771 = n; float r15772 = r15770 * r15771; float r15773 = U; float r15774 = r15772 * r15773; float r15775 = t; float r15776 = l; float r15777 = r15776 * r15776; float r15778 = Om; float r15779 = r15777 / r15778; float r15780 = r15770 * r15779; float r15781 = r15775 - r15780; float r15782 = r15776 / r15778; float r15783 = r15782 * r15782; float r15784 = r15771 * r15783; float r15785 = U_; float r15786 = r15773 - r15785; float r15787 = r15784 * r15786; float r15788 = r15781 - r15787; float r15789 = r15774 * r15788; float r15790 = sqrt(r15789); return r15790; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r15791 = 2.0; double r15792 = n; double r15793 = r15791 * r15792; double r15794 = U; double r15795 = r15793 * r15794; double r15796 = t; double r15797 = l; double r15798 = r15797 * r15797; double r15799 = Om; double r15800 = r15798 / r15799; double r15801 = r15791 * r15800; double r15802 = r15796 - r15801; double r15803 = r15797 / r15799; double r15804 = r15803 * r15803; double r15805 = r15792 * r15804; double r15806 = U_; double r15807 = r15794 - r15806; double r15808 = r15805 * r15807; double r15809 = r15802 - r15808; double r15810 = r15795 * r15809; double r15811 = sqrt(r15810); return r15811; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r15812 = n; float r15813 = -6.237596765273558e-170f; bool r15814 = r15812 <= r15813; float r15815 = t; float r15816 = l; float r15817 = Om; float r15818 = r15816 / r15817; float r15819 = r15812 * r15818; float r15820 = U; float r15821 = U_; float r15822 = r15820 - r15821; float r15823 = r15822 * r15818; float r15824 = 2.0f; float r15825 = r15824 * r15816; float r15826 = r15817 / r15816; float r15827 = r15825 / r15826; float r15828 = fma(r15819, r15823, r15827); float r15829 = r15815 - r15828; float r15830 = r15820 * r15812; float r15831 = r15824 * r15830; float r15832 = r15829 * r15831; float r15833 = sqrt(r15832); float r15834 = 1.4561613451310695e-242f; bool r15835 = r15812 <= r15834; float r15836 = r15812 * r15824; float r15837 = r15836 * r15816; float r15838 = r15817 / r15820; float r15839 = r15837 / r15838; float r15840 = -r15824; float r15841 = r15817 / r15812; float r15842 = r15822 / r15841; float r15843 = r15840 - r15842; float r15844 = r15816 * r15843; float r15845 = r15815 * r15820; float r15846 = r15845 * r15836; float r15847 = fma(r15839, r15844, r15846); float r15848 = sqrt(r15847); float r15849 = 4.3250250802722524e+66f; bool r15850 = r15812 <= r15849; float r15851 = r15824 * r15812; float r15852 = r15820 * r15818; float r15853 = r15812 / r15817; float r15854 = r15822 * r15853; float r15855 = r15840 - r15854; float r15856 = r15816 * r15855; float r15857 = r15852 * r15856; float r15858 = r15845 + r15857; float r15859 = r15851 * r15858; float r15860 = sqrt(r15859); float r15861 = sqrt(r15851); float r15862 = r15816 / r15826; float r15863 = r15824 * r15862; float r15864 = r15815 - r15863; float r15865 = r15818 * r15818; float r15866 = r15812 * r15865; float r15867 = r15866 * r15822; float r15868 = r15864 - r15867; float r15869 = r15820 * r15868; float r15870 = sqrt(r15869); float r15871 = r15861 * r15870; float r15872 = r15850 ? r15860 : r15871; float r15873 = r15835 ? r15848 : r15872; float r15874 = r15814 ? r15833 : r15873; return r15874; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r15875 = n; double r15876 = -6.237596765273558e-170; bool r15877 = r15875 <= r15876; double r15878 = t; double r15879 = l; double r15880 = Om; double r15881 = r15879 / r15880; double r15882 = r15875 * r15881; double r15883 = U; double r15884 = U_; double r15885 = r15883 - r15884; double r15886 = r15885 * r15881; double r15887 = 2.0; double r15888 = r15887 * r15879; double r15889 = r15880 / r15879; double r15890 = r15888 / r15889; double r15891 = fma(r15882, r15886, r15890); double r15892 = r15878 - r15891; double r15893 = r15883 * r15875; double r15894 = r15887 * r15893; double r15895 = r15892 * r15894; double r15896 = sqrt(r15895); double r15897 = 1.4561613451310695e-242; bool r15898 = r15875 <= r15897; double r15899 = r15875 * r15887; double r15900 = r15899 * r15879; double r15901 = r15880 / r15883; double r15902 = r15900 / r15901; double r15903 = -r15887; double r15904 = r15880 / r15875; double r15905 = r15885 / r15904; double r15906 = r15903 - r15905; double r15907 = r15879 * r15906; double r15908 = r15878 * r15883; double r15909 = r15908 * r15899; double r15910 = fma(r15902, r15907, r15909); double r15911 = sqrt(r15910); double r15912 = 4.3250250802722524e+66; bool r15913 = r15875 <= r15912; double r15914 = r15887 * r15875; double r15915 = r15883 * r15881; double r15916 = r15875 / r15880; double r15917 = r15885 * r15916; double r15918 = r15903 - r15917; double r15919 = r15879 * r15918; double r15920 = r15915 * r15919; double r15921 = r15908 + r15920; double r15922 = r15914 * r15921; double r15923 = sqrt(r15922); double r15924 = sqrt(r15914); double r15925 = r15879 / r15889; double r15926 = r15887 * r15925; double r15927 = r15878 - r15926; double r15928 = r15881 * r15881; double r15929 = r15875 * r15928; double r15930 = r15929 * r15885; double r15931 = r15927 - r15930; double r15932 = r15883 * r15931; double r15933 = sqrt(r15932); double r15934 = r15924 * r15933; double r15935 = r15913 ? r15923 : r15934; double r15936 = r15898 ? r15911 : r15935; double r15937 = r15877 ? r15896 : r15936; return r15937; } void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) { mpfr_fmod(r, n, d, rmd); if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd); } static mpfr_t r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946, r15947, r15948, r15949, r15950, r15951, r15952, r15953, r15954, r15955, r15956, r15957, r15958; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init_set_str(r15938, "2", 10, MPFR_RNDN); mpfr_init(r15939); mpfr_init(r15940); mpfr_init(r15941); mpfr_init(r15942); mpfr_init(r15943); mpfr_init(r15944); mpfr_init(r15945); mpfr_init(r15946); mpfr_init(r15947); mpfr_init(r15948); mpfr_init(r15949); mpfr_init(r15950); mpfr_init(r15951); mpfr_init(r15952); mpfr_init(r15953); mpfr_init(r15954); mpfr_init(r15955); mpfr_init(r15956); mpfr_init(r15957); mpfr_init(r15958); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r15939, n, MPFR_RNDN); mpfr_mul(r15940, r15938, r15939, MPFR_RNDN); mpfr_set_d(r15941, U, MPFR_RNDN); mpfr_mul(r15942, r15940, r15941, MPFR_RNDN); mpfr_set_d(r15943, t, MPFR_RNDN); mpfr_set_d(r15944, l, MPFR_RNDN); mpfr_sqr(r15945, r15944, MPFR_RNDN); mpfr_set_d(r15946, Om, MPFR_RNDN); mpfr_div(r15947, r15945, r15946, MPFR_RNDN); mpfr_mul(r15948, r15938, r15947, MPFR_RNDN); mpfr_sub(r15949, r15943, r15948, MPFR_RNDN); mpfr_div(r15950, r15944, r15946, MPFR_RNDN); mpfr_sqr(r15951, r15950, MPFR_RNDN); mpfr_mul(r15952, r15939, r15951, MPFR_RNDN); mpfr_set_d(r15953, U_, MPFR_RNDN); mpfr_sub(r15954, r15941, r15953, MPFR_RNDN); mpfr_mul(r15955, r15952, r15954, MPFR_RNDN); mpfr_sub(r15956, r15949, r15955, MPFR_RNDN); mpfr_mul(r15957, r15942, r15956, MPFR_RNDN); mpfr_sqrt(r15958, r15957, MPFR_RNDN); return mpfr_get_d(r15958, MPFR_RNDN); } static mpfr_t r15959, r15960, r15961, r15962, r15963, r15964, r15965, r15966, r15967, r15968, r15969, r15970, r15971, r15972, r15973, r15974, r15975, r15976, r15977, r15978, r15979, r15980, r15981, r15982, r15983, r15984, r15985, r15986, r15987, r15988, r15989, r15990, r15991, r15992, r15993, r15994, r15995, r15996, r15997, r15998, r15999, r16000, r16001, r16002, r16003, r16004, r16005, r16006, r16007, r16008, r16009, r16010, r16011, r16012, r16013, r16014, r16015, r16016, r16017, r16018, r16019, r16020, r16021; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15959); mpfr_init_set_str(r15960, "-6.237596765273558e-170", 10, MPFR_RNDN); mpfr_init(r15961); mpfr_init(r15962); mpfr_init(r15963); mpfr_init(r15964); mpfr_init(r15965); mpfr_init(r15966); mpfr_init(r15967); mpfr_init(r15968); mpfr_init(r15969); mpfr_init(r15970); mpfr_init_set_str(r15971, "2", 10, MPFR_RNDN); mpfr_init(r15972); mpfr_init(r15973); mpfr_init(r15974); mpfr_init(r15975); mpfr_init(r15976); mpfr_init(r15977); mpfr_init(r15978); mpfr_init(r15979); mpfr_init(r15980); mpfr_init_set_str(r15981, "1.4561613451310695e-242", 10, MPFR_RNDN); mpfr_init(r15982); mpfr_init(r15983); mpfr_init(r15984); mpfr_init(r15985); mpfr_init(r15986); mpfr_init(r15987); mpfr_init(r15988); mpfr_init(r15989); mpfr_init(r15990); mpfr_init(r15991); mpfr_init(r15992); mpfr_init(r15993); mpfr_init(r15994); mpfr_init(r15995); mpfr_init_set_str(r15996, "4.3250250802722524e+66", 10, MPFR_RNDN); mpfr_init(r15997); mpfr_init(r15998); mpfr_init(r15999); mpfr_init(r16000); mpfr_init(r16001); mpfr_init(r16002); mpfr_init(r16003); mpfr_init(r16004); mpfr_init(r16005); mpfr_init(r16006); mpfr_init(r16007); mpfr_init(r16008); mpfr_init(r16009); mpfr_init(r16010); mpfr_init(r16011); mpfr_init(r16012); mpfr_init(r16013); mpfr_init(r16014); mpfr_init(r16015); mpfr_init(r16016); mpfr_init(r16017); mpfr_init(r16018); mpfr_init(r16019); mpfr_init(r16020); mpfr_init(r16021); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r15959, n, MPFR_RNDN); ; mpfr_set_si(r15961, mpfr_cmp(r15959, r15960) <= 0, MPFR_RNDN); mpfr_set_d(r15962, t, MPFR_RNDN); mpfr_set_d(r15963, l, MPFR_RNDN); mpfr_set_d(r15964, Om, MPFR_RNDN); mpfr_div(r15965, r15963, r15964, MPFR_RNDN); mpfr_mul(r15966, r15959, r15965, MPFR_RNDN); mpfr_set_d(r15967, U, MPFR_RNDN); mpfr_set_d(r15968, U_, MPFR_RNDN); mpfr_sub(r15969, r15967, r15968, MPFR_RNDN); mpfr_mul(r15970, r15969, r15965, MPFR_RNDN); ; mpfr_mul(r15972, r15971, r15963, MPFR_RNDN); mpfr_div(r15973, r15964, r15963, MPFR_RNDN); mpfr_div(r15974, r15972, r15973, MPFR_RNDN); mpfr_fma(r15975, r15966, r15970, r15974, MPFR_RNDN); mpfr_sub(r15976, r15962, r15975, MPFR_RNDN); mpfr_mul(r15977, r15967, r15959, MPFR_RNDN); mpfr_mul(r15978, r15971, r15977, MPFR_RNDN); mpfr_mul(r15979, r15976, r15978, MPFR_RNDN); mpfr_sqrt(r15980, r15979, MPFR_RNDN); ; mpfr_set_si(r15982, mpfr_cmp(r15959, r15981) <= 0, MPFR_RNDN); mpfr_mul(r15983, r15959, r15971, MPFR_RNDN); mpfr_mul(r15984, r15983, r15963, MPFR_RNDN); mpfr_div(r15985, r15964, r15967, MPFR_RNDN); mpfr_div(r15986, r15984, r15985, MPFR_RNDN); mpfr_neg(r15987, r15971, MPFR_RNDN); mpfr_div(r15988, r15964, r15959, MPFR_RNDN); mpfr_div(r15989, r15969, r15988, MPFR_RNDN); mpfr_sub(r15990, r15987, r15989, MPFR_RNDN); mpfr_mul(r15991, r15963, r15990, MPFR_RNDN); mpfr_mul(r15992, r15962, r15967, MPFR_RNDN); mpfr_mul(r15993, r15992, r15983, MPFR_RNDN); mpfr_fma(r15994, r15986, r15991, r15993, MPFR_RNDN); mpfr_sqrt(r15995, r15994, MPFR_RNDN); ; mpfr_set_si(r15997, mpfr_cmp(r15959, r15996) <= 0, MPFR_RNDN); mpfr_mul(r15998, r15971, r15959, MPFR_RNDN); mpfr_mul(r15999, r15967, r15965, MPFR_RNDN); mpfr_div(r16000, r15959, r15964, MPFR_RNDN); mpfr_mul(r16001, r15969, r16000, MPFR_RNDN); mpfr_sub(r16002, r15987, r16001, MPFR_RNDN); mpfr_mul(r16003, r15963, r16002, MPFR_RNDN); mpfr_mul(r16004, r15999, r16003, MPFR_RNDN); mpfr_add(r16005, r15992, r16004, MPFR_RNDN); mpfr_mul(r16006, r15998, r16005, MPFR_RNDN); mpfr_sqrt(r16007, r16006, MPFR_RNDN); mpfr_sqrt(r16008, r15998, MPFR_RNDN); mpfr_div(r16009, r15963, r15973, MPFR_RNDN); mpfr_mul(r16010, r15971, r16009, MPFR_RNDN); mpfr_sub(r16011, r15962, r16010, MPFR_RNDN); mpfr_sqr(r16012, r15965, MPFR_RNDN); mpfr_mul(r16013, r15959, r16012, MPFR_RNDN); mpfr_mul(r16014, r16013, r15969, MPFR_RNDN); mpfr_sub(r16015, r16011, r16014, MPFR_RNDN); mpfr_mul(r16016, r15967, r16015, MPFR_RNDN); mpfr_sqrt(r16017, r16016, MPFR_RNDN); mpfr_mul(r16018, r16008, r16017, MPFR_RNDN); if (mpfr_get_si(r15997, MPFR_RNDN)) { mpfr_set(r16019, r16007, MPFR_RNDN); } else { mpfr_set(r16019, r16018, MPFR_RNDN); }; if (mpfr_get_si(r15982, MPFR_RNDN)) { mpfr_set(r16020, r15995, MPFR_RNDN); } else { mpfr_set(r16020, r16019, MPFR_RNDN); }; if (mpfr_get_si(r15961, MPFR_RNDN)) { mpfr_set(r16021, r15980, MPFR_RNDN); } else { mpfr_set(r16021, r16020, MPFR_RNDN); }; return mpfr_get_d(r16021, MPFR_RNDN); } static mpfr_t r16022, r16023, r16024, r16025, r16026, r16027, r16028, r16029, r16030, r16031, r16032, r16033, r16034, r16035, r16036, r16037, r16038, r16039, r16040, r16041, r16042, r16043, r16044, r16045, r16046, r16047, r16048, r16049, r16050, r16051, r16052, r16053, r16054, r16055, r16056, r16057, r16058, r16059, r16060, r16061, r16062, r16063, r16064, r16065, r16066, r16067, r16068, r16069, r16070, r16071, r16072, r16073, r16074, r16075, r16076, r16077, r16078, r16079, r16080, r16081, r16082, r16083, r16084; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16022); mpfr_init_set_str(r16023, "-6.237596765273558e-170", 10, MPFR_RNDN); mpfr_init(r16024); mpfr_init(r16025); mpfr_init(r16026); mpfr_init(r16027); mpfr_init(r16028); mpfr_init(r16029); mpfr_init(r16030); mpfr_init(r16031); mpfr_init(r16032); mpfr_init(r16033); mpfr_init_set_str(r16034, "2", 10, MPFR_RNDN); mpfr_init(r16035); mpfr_init(r16036); mpfr_init(r16037); mpfr_init(r16038); mpfr_init(r16039); mpfr_init(r16040); mpfr_init(r16041); mpfr_init(r16042); mpfr_init(r16043); mpfr_init_set_str(r16044, "1.4561613451310695e-242", 10, MPFR_RNDN); mpfr_init(r16045); mpfr_init(r16046); mpfr_init(r16047); mpfr_init(r16048); mpfr_init(r16049); mpfr_init(r16050); mpfr_init(r16051); mpfr_init(r16052); mpfr_init(r16053); mpfr_init(r16054); mpfr_init(r16055); mpfr_init(r16056); mpfr_init(r16057); mpfr_init(r16058); mpfr_init_set_str(r16059, "4.3250250802722524e+66", 10, MPFR_RNDN); mpfr_init(r16060); mpfr_init(r16061); mpfr_init(r16062); mpfr_init(r16063); mpfr_init(r16064); mpfr_init(r16065); mpfr_init(r16066); mpfr_init(r16067); mpfr_init(r16068); mpfr_init(r16069); mpfr_init(r16070); mpfr_init(r16071); mpfr_init(r16072); mpfr_init(r16073); mpfr_init(r16074); mpfr_init(r16075); mpfr_init(r16076); mpfr_init(r16077); mpfr_init(r16078); mpfr_init(r16079); mpfr_init(r16080); mpfr_init(r16081); mpfr_init(r16082); mpfr_init(r16083); mpfr_init(r16084); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r16022, n, MPFR_RNDN); ; mpfr_set_si(r16024, mpfr_cmp(r16022, r16023) <= 0, MPFR_RNDN); mpfr_set_d(r16025, t, MPFR_RNDN); mpfr_set_d(r16026, l, MPFR_RNDN); mpfr_set_d(r16027, Om, MPFR_RNDN); mpfr_div(r16028, r16026, r16027, MPFR_RNDN); mpfr_mul(r16029, r16022, r16028, MPFR_RNDN); mpfr_set_d(r16030, U, MPFR_RNDN); mpfr_set_d(r16031, U_, MPFR_RNDN); mpfr_sub(r16032, r16030, r16031, MPFR_RNDN); mpfr_mul(r16033, r16032, r16028, MPFR_RNDN); ; mpfr_mul(r16035, r16034, r16026, MPFR_RNDN); mpfr_div(r16036, r16027, r16026, MPFR_RNDN); mpfr_div(r16037, r16035, r16036, MPFR_RNDN); mpfr_fma(r16038, r16029, r16033, r16037, MPFR_RNDN); mpfr_sub(r16039, r16025, r16038, MPFR_RNDN); mpfr_mul(r16040, r16030, r16022, MPFR_RNDN); mpfr_mul(r16041, r16034, r16040, MPFR_RNDN); mpfr_mul(r16042, r16039, r16041, MPFR_RNDN); mpfr_sqrt(r16043, r16042, MPFR_RNDN); ; mpfr_set_si(r16045, mpfr_cmp(r16022, r16044) <= 0, MPFR_RNDN); mpfr_mul(r16046, r16022, r16034, MPFR_RNDN); mpfr_mul(r16047, r16046, r16026, MPFR_RNDN); mpfr_div(r16048, r16027, r16030, MPFR_RNDN); mpfr_div(r16049, r16047, r16048, MPFR_RNDN); mpfr_neg(r16050, r16034, MPFR_RNDN); mpfr_div(r16051, r16027, r16022, MPFR_RNDN); mpfr_div(r16052, r16032, r16051, MPFR_RNDN); mpfr_sub(r16053, r16050, r16052, MPFR_RNDN); mpfr_mul(r16054, r16026, r16053, MPFR_RNDN); mpfr_mul(r16055, r16025, r16030, MPFR_RNDN); mpfr_mul(r16056, r16055, r16046, MPFR_RNDN); mpfr_fma(r16057, r16049, r16054, r16056, MPFR_RNDN); mpfr_sqrt(r16058, r16057, MPFR_RNDN); ; mpfr_set_si(r16060, mpfr_cmp(r16022, r16059) <= 0, MPFR_RNDN); mpfr_mul(r16061, r16034, r16022, MPFR_RNDN); mpfr_mul(r16062, r16030, r16028, MPFR_RNDN); mpfr_div(r16063, r16022, r16027, MPFR_RNDN); mpfr_mul(r16064, r16032, r16063, MPFR_RNDN); mpfr_sub(r16065, r16050, r16064, MPFR_RNDN); mpfr_mul(r16066, r16026, r16065, MPFR_RNDN); mpfr_mul(r16067, r16062, r16066, MPFR_RNDN); mpfr_add(r16068, r16055, r16067, MPFR_RNDN); mpfr_mul(r16069, r16061, r16068, MPFR_RNDN); mpfr_sqrt(r16070, r16069, MPFR_RNDN); mpfr_sqrt(r16071, r16061, MPFR_RNDN); mpfr_div(r16072, r16026, r16036, MPFR_RNDN); mpfr_mul(r16073, r16034, r16072, MPFR_RNDN); mpfr_sub(r16074, r16025, r16073, MPFR_RNDN); mpfr_sqr(r16075, r16028, MPFR_RNDN); mpfr_mul(r16076, r16022, r16075, MPFR_RNDN); mpfr_mul(r16077, r16076, r16032, MPFR_RNDN); mpfr_sub(r16078, r16074, r16077, MPFR_RNDN); mpfr_mul(r16079, r16030, r16078, MPFR_RNDN); mpfr_sqrt(r16080, r16079, MPFR_RNDN); mpfr_mul(r16081, r16071, r16080, MPFR_RNDN); if (mpfr_get_si(r16060, MPFR_RNDN)) { mpfr_set(r16082, r16070, MPFR_RNDN); } else { mpfr_set(r16082, r16081, MPFR_RNDN); }; if (mpfr_get_si(r16045, MPFR_RNDN)) { mpfr_set(r16083, r16058, MPFR_RNDN); } else { mpfr_set(r16083, r16082, MPFR_RNDN); }; if (mpfr_get_si(r16024, MPFR_RNDN)) { mpfr_set(r16084, r16043, MPFR_RNDN); } else { mpfr_set(r16084, r16083, MPFR_RNDN); }; return mpfr_get_d(r16084, MPFR_RNDN); }