#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 r21693 = 2; float r21694 = n; float r21695 = r21693 * r21694; float r21696 = U; float r21697 = r21695 * r21696; float r21698 = t; float r21699 = l; float r21700 = r21699 * r21699; float r21701 = Om; float r21702 = r21700 / r21701; float r21703 = r21693 * r21702; float r21704 = r21698 - r21703; float r21705 = r21699 / r21701; float r21706 = pow(r21705, r21693); float r21707 = r21694 * r21706; float r21708 = U_; float r21709 = r21696 - r21708; float r21710 = r21707 * r21709; float r21711 = r21704 - r21710; float r21712 = r21697 * r21711; float r21713 = sqrt(r21712); return r21713; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21714 = 2; double r21715 = n; double r21716 = r21714 * r21715; double r21717 = U; double r21718 = r21716 * r21717; double r21719 = t; double r21720 = l; double r21721 = r21720 * r21720; double r21722 = Om; double r21723 = r21721 / r21722; double r21724 = r21714 * r21723; double r21725 = r21719 - r21724; double r21726 = r21720 / r21722; double r21727 = pow(r21726, r21714); double r21728 = r21715 * r21727; double r21729 = U_; double r21730 = r21717 - r21729; double r21731 = r21728 * r21730; double r21732 = r21725 - r21731; double r21733 = r21718 * r21732; double r21734 = sqrt(r21733); return r21734; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21735 = U; float r21736 = r21735 + r21735; float r21737 = t; float r21738 = l; float r21739 = Om; float r21740 = r21738 / r21739; float r21741 = r21738 + r21738; float r21742 = r21740 * r21741; float r21743 = r21737 - r21742; float r21744 = r21736 * r21743; float r21745 = -2.261217660051935e+89; bool r21746 = r21744 <= r21745; float r21747 = n; float r21748 = r21737 * r21747; float r21749 = r21748 * r21736; float r21750 = r21747 / r21739; float r21751 = r21750 * r21738; float r21752 = r21751 * r21735; float r21753 = 4; float r21754 = r21738 * r21753; float r21755 = r21752 * r21754; float r21756 = r21749 - r21755; float r21757 = sqrt(r21756); float r21758 = -1.7000567065397344e-185; bool r21759 = r21744 <= r21758; float r21760 = 2; float r21761 = r21760 * r21747; float r21762 = r21738 * r21738; float r21763 = r21762 / r21739; float r21764 = r21760 * r21763; float r21765 = r21737 - r21764; float r21766 = pow(r21740, r21760); float r21767 = r21747 * r21766; float r21768 = U_; float r21769 = r21735 - r21768; float r21770 = r21767 * r21769; float r21771 = r21765 - r21770; float r21772 = r21735 * r21771; float r21773 = r21761 * r21772; float r21774 = sqrt(r21773); float r21775 = 2.450450831693368e-165; bool r21776 = r21744 <= r21775; float r21777 = r21761 * r21735; float r21778 = r21740 * r21747; float r21779 = r21769 * r21740; float r21780 = r21778 * r21779; float r21781 = 3; float r21782 = pow(r21780, r21781); float r21783 = cbrt(r21782); float r21784 = r21765 - r21783; float r21785 = r21777 * r21784; float r21786 = sqrt(r21785); float r21787 = 1.3874370042323594e+300; bool r21788 = r21744 <= r21787; float r21789 = r21735 / r21739; float r21790 = r21789 * r21738; float r21791 = r21747 * r21790; float r21792 = r21791 * r21754; float r21793 = r21749 - r21792; float r21794 = sqrt(r21793); float r21795 = r21788 ? r21774 : r21794; float r21796 = r21776 ? r21786 : r21795; float r21797 = r21759 ? r21774 : r21796; float r21798 = r21746 ? r21757 : r21797; return r21798; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21799 = U; double r21800 = r21799 + r21799; double r21801 = t; double r21802 = l; double r21803 = Om; double r21804 = r21802 / r21803; double r21805 = r21802 + r21802; double r21806 = r21804 * r21805; double r21807 = r21801 - r21806; double r21808 = r21800 * r21807; double r21809 = -2.261217660051935e+89; bool r21810 = r21808 <= r21809; double r21811 = n; double r21812 = r21801 * r21811; double r21813 = r21812 * r21800; double r21814 = r21811 / r21803; double r21815 = r21814 * r21802; double r21816 = r21815 * r21799; double r21817 = 4; double r21818 = r21802 * r21817; double r21819 = r21816 * r21818; double r21820 = r21813 - r21819; double r21821 = sqrt(r21820); double r21822 = -1.7000567065397344e-185; bool r21823 = r21808 <= r21822; double r21824 = 2; double r21825 = r21824 * r21811; double r21826 = r21802 * r21802; double r21827 = r21826 / r21803; double r21828 = r21824 * r21827; double r21829 = r21801 - r21828; double r21830 = pow(r21804, r21824); double r21831 = r21811 * r21830; double r21832 = U_; double r21833 = r21799 - r21832; double r21834 = r21831 * r21833; double r21835 = r21829 - r21834; double r21836 = r21799 * r21835; double r21837 = r21825 * r21836; double r21838 = sqrt(r21837); double r21839 = 2.450450831693368e-165; bool r21840 = r21808 <= r21839; double r21841 = r21825 * r21799; double r21842 = r21804 * r21811; double r21843 = r21833 * r21804; double r21844 = r21842 * r21843; double r21845 = 3; double r21846 = pow(r21844, r21845); double r21847 = cbrt(r21846); double r21848 = r21829 - r21847; double r21849 = r21841 * r21848; double r21850 = sqrt(r21849); double r21851 = 1.3874370042323594e+300; bool r21852 = r21808 <= r21851; double r21853 = r21799 / r21803; double r21854 = r21853 * r21802; double r21855 = r21811 * r21854; double r21856 = r21855 * r21818; double r21857 = r21813 - r21856; double r21858 = sqrt(r21857); double r21859 = r21852 ? r21838 : r21858; double r21860 = r21840 ? r21850 : r21859; double r21861 = r21823 ? r21838 : r21860; double r21862 = r21810 ? r21821 : r21861; return r21862; } 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 r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21863, "2", 10, MPFR_RNDN); mpfr_init(r21864); mpfr_init(r21865); mpfr_init(r21866); mpfr_init(r21867); mpfr_init(r21868); mpfr_init(r21869); mpfr_init(r21870); mpfr_init(r21871); mpfr_init(r21872); mpfr_init(r21873); mpfr_init(r21874); mpfr_init(r21875); mpfr_init(r21876); mpfr_init(r21877); mpfr_init(r21878); mpfr_init(r21879); mpfr_init(r21880); mpfr_init(r21881); mpfr_init(r21882); mpfr_init(r21883); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21864, n, MPFR_RNDN); mpfr_mul(r21865, r21863, r21864, MPFR_RNDN); mpfr_set_d(r21866, U, MPFR_RNDN); mpfr_mul(r21867, r21865, r21866, MPFR_RNDN); mpfr_set_d(r21868, t, MPFR_RNDN); mpfr_set_d(r21869, l, MPFR_RNDN); mpfr_mul(r21870, r21869, r21869, MPFR_RNDN); mpfr_set_d(r21871, Om, MPFR_RNDN); mpfr_div(r21872, r21870, r21871, MPFR_RNDN); mpfr_mul(r21873, r21863, r21872, MPFR_RNDN); mpfr_sub(r21874, r21868, r21873, MPFR_RNDN); mpfr_div(r21875, r21869, r21871, MPFR_RNDN); mpfr_pow(r21876, r21875, r21863, MPFR_RNDN); mpfr_mul(r21877, r21864, r21876, MPFR_RNDN); mpfr_set_d(r21878, U_, MPFR_RNDN); mpfr_sub(r21879, r21866, r21878, MPFR_RNDN); mpfr_mul(r21880, r21877, r21879, MPFR_RNDN); mpfr_sub(r21881, r21874, r21880, MPFR_RNDN); mpfr_mul(r21882, r21867, r21881, MPFR_RNDN); mpfr_sqrt(r21883, r21882, MPFR_RNDN); return mpfr_get_d(r21883, MPFR_RNDN); } static mpfr_t r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900, r21901, r21902, r21903, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917, r21918, r21919, r21920, r21921, r21922, r21923, r21924, r21925, r21926, r21927, r21928, r21929, r21930, r21931, r21932, r21933, r21934, r21935, r21936, r21937, r21938, r21939, r21940, r21941, r21942, r21943, r21944, r21945, r21946, r21947; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21884); mpfr_init(r21885); mpfr_init(r21886); mpfr_init(r21887); mpfr_init(r21888); mpfr_init(r21889); mpfr_init(r21890); mpfr_init(r21891); mpfr_init(r21892); mpfr_init(r21893); mpfr_init_set_str(r21894, "-2.261217660051935e+89", 10, MPFR_RNDN); mpfr_init(r21895); mpfr_init(r21896); mpfr_init(r21897); mpfr_init(r21898); mpfr_init(r21899); mpfr_init(r21900); mpfr_init(r21901); mpfr_init_set_str(r21902, "4", 10, MPFR_RNDN); mpfr_init(r21903); mpfr_init(r21904); mpfr_init(r21905); mpfr_init(r21906); mpfr_init_set_str(r21907, "-1.7000567065397344e-185", 10, MPFR_RNDN); mpfr_init(r21908); mpfr_init_set_str(r21909, "2", 10, MPFR_RNDN); mpfr_init(r21910); mpfr_init(r21911); mpfr_init(r21912); mpfr_init(r21913); mpfr_init(r21914); mpfr_init(r21915); mpfr_init(r21916); mpfr_init(r21917); mpfr_init(r21918); mpfr_init(r21919); mpfr_init(r21920); mpfr_init(r21921); mpfr_init(r21922); mpfr_init(r21923); mpfr_init_set_str(r21924, "2.450450831693368e-165", 10, MPFR_RNDN); mpfr_init(r21925); mpfr_init(r21926); mpfr_init(r21927); mpfr_init(r21928); mpfr_init(r21929); mpfr_init_set_str(r21930, "3", 10, MPFR_RNDN); mpfr_init(r21931); mpfr_init(r21932); mpfr_init(r21933); mpfr_init(r21934); mpfr_init(r21935); mpfr_init_set_str(r21936, "1.3874370042323594e+300", 10, MPFR_RNDN); mpfr_init(r21937); mpfr_init(r21938); mpfr_init(r21939); mpfr_init(r21940); mpfr_init(r21941); mpfr_init(r21942); mpfr_init(r21943); mpfr_init(r21944); mpfr_init(r21945); mpfr_init(r21946); mpfr_init(r21947); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21884, U, MPFR_RNDN); mpfr_add(r21885, r21884, r21884, MPFR_RNDN); mpfr_set_d(r21886, t, MPFR_RNDN); mpfr_set_d(r21887, l, MPFR_RNDN); mpfr_set_d(r21888, Om, MPFR_RNDN); mpfr_div(r21889, r21887, r21888, MPFR_RNDN); mpfr_add(r21890, r21887, r21887, MPFR_RNDN); mpfr_mul(r21891, r21889, r21890, MPFR_RNDN); mpfr_sub(r21892, r21886, r21891, MPFR_RNDN); mpfr_mul(r21893, r21885, r21892, MPFR_RNDN); ; mpfr_set_si(r21895, mpfr_cmp(r21893, r21894) <= 0, MPFR_RNDN); mpfr_set_d(r21896, n, MPFR_RNDN); mpfr_mul(r21897, r21886, r21896, MPFR_RNDN); mpfr_mul(r21898, r21897, r21885, MPFR_RNDN); mpfr_div(r21899, r21896, r21888, MPFR_RNDN); mpfr_mul(r21900, r21899, r21887, MPFR_RNDN); mpfr_mul(r21901, r21900, r21884, MPFR_RNDN); ; mpfr_mul(r21903, r21887, r21902, MPFR_RNDN); mpfr_mul(r21904, r21901, r21903, MPFR_RNDN); mpfr_sub(r21905, r21898, r21904, MPFR_RNDN); mpfr_sqrt(r21906, r21905, MPFR_RNDN); ; mpfr_set_si(r21908, mpfr_cmp(r21893, r21907) <= 0, MPFR_RNDN); ; mpfr_mul(r21910, r21909, r21896, MPFR_RNDN); mpfr_mul(r21911, r21887, r21887, MPFR_RNDN); mpfr_div(r21912, r21911, r21888, MPFR_RNDN); mpfr_mul(r21913, r21909, r21912, MPFR_RNDN); mpfr_sub(r21914, r21886, r21913, MPFR_RNDN); mpfr_pow(r21915, r21889, r21909, MPFR_RNDN); mpfr_mul(r21916, r21896, r21915, MPFR_RNDN); mpfr_set_d(r21917, U_, MPFR_RNDN); mpfr_sub(r21918, r21884, r21917, MPFR_RNDN); mpfr_mul(r21919, r21916, r21918, MPFR_RNDN); mpfr_sub(r21920, r21914, r21919, MPFR_RNDN); mpfr_mul(r21921, r21884, r21920, MPFR_RNDN); mpfr_mul(r21922, r21910, r21921, MPFR_RNDN); mpfr_sqrt(r21923, r21922, MPFR_RNDN); ; mpfr_set_si(r21925, mpfr_cmp(r21893, r21924) <= 0, MPFR_RNDN); mpfr_mul(r21926, r21910, r21884, MPFR_RNDN); mpfr_mul(r21927, r21889, r21896, MPFR_RNDN); mpfr_mul(r21928, r21918, r21889, MPFR_RNDN); mpfr_mul(r21929, r21927, r21928, MPFR_RNDN); ; mpfr_pow(r21931, r21929, r21930, MPFR_RNDN); mpfr_cbrt(r21932, r21931, MPFR_RNDN); mpfr_sub(r21933, r21914, r21932, MPFR_RNDN); mpfr_mul(r21934, r21926, r21933, MPFR_RNDN); mpfr_sqrt(r21935, r21934, MPFR_RNDN); ; mpfr_set_si(r21937, mpfr_cmp(r21893, r21936) <= 0, MPFR_RNDN); mpfr_div(r21938, r21884, r21888, MPFR_RNDN); mpfr_mul(r21939, r21938, r21887, MPFR_RNDN); mpfr_mul(r21940, r21896, r21939, MPFR_RNDN); mpfr_mul(r21941, r21940, r21903, MPFR_RNDN); mpfr_sub(r21942, r21898, r21941, MPFR_RNDN); mpfr_sqrt(r21943, r21942, MPFR_RNDN); if (mpfr_get_si(r21937, MPFR_RNDN)) { mpfr_set(r21944, r21923, MPFR_RNDN); } else { mpfr_set(r21944, r21943, MPFR_RNDN); }; if (mpfr_get_si(r21925, MPFR_RNDN)) { mpfr_set(r21945, r21935, MPFR_RNDN); } else { mpfr_set(r21945, r21944, MPFR_RNDN); }; if (mpfr_get_si(r21908, MPFR_RNDN)) { mpfr_set(r21946, r21923, MPFR_RNDN); } else { mpfr_set(r21946, r21945, MPFR_RNDN); }; if (mpfr_get_si(r21895, MPFR_RNDN)) { mpfr_set(r21947, r21906, MPFR_RNDN); } else { mpfr_set(r21947, r21946, MPFR_RNDN); }; return mpfr_get_d(r21947, MPFR_RNDN); } static mpfr_t r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21948); mpfr_init(r21949); mpfr_init(r21950); mpfr_init(r21951); mpfr_init(r21952); mpfr_init(r21953); mpfr_init(r21954); mpfr_init(r21955); mpfr_init(r21956); mpfr_init(r21957); mpfr_init_set_str(r21958, "-2.261217660051935e+89", 10, MPFR_RNDN); mpfr_init(r21959); mpfr_init(r21960); mpfr_init(r21961); mpfr_init(r21962); mpfr_init(r21963); mpfr_init(r21964); mpfr_init(r21965); mpfr_init_set_str(r21966, "4", 10, MPFR_RNDN); mpfr_init(r21967); mpfr_init(r21968); mpfr_init(r21969); mpfr_init(r21970); mpfr_init_set_str(r21971, "-1.7000567065397344e-185", 10, MPFR_RNDN); mpfr_init(r21972); mpfr_init_set_str(r21973, "2", 10, MPFR_RNDN); mpfr_init(r21974); mpfr_init(r21975); mpfr_init(r21976); mpfr_init(r21977); mpfr_init(r21978); mpfr_init(r21979); mpfr_init(r21980); mpfr_init(r21981); mpfr_init(r21982); mpfr_init(r21983); mpfr_init(r21984); mpfr_init(r21985); mpfr_init(r21986); mpfr_init(r21987); mpfr_init_set_str(r21988, "2.450450831693368e-165", 10, MPFR_RNDN); mpfr_init(r21989); mpfr_init(r21990); mpfr_init(r21991); mpfr_init(r21992); mpfr_init(r21993); mpfr_init_set_str(r21994, "3", 10, MPFR_RNDN); mpfr_init(r21995); mpfr_init(r21996); mpfr_init(r21997); mpfr_init(r21998); mpfr_init(r21999); mpfr_init_set_str(r22000, "1.3874370042323594e+300", 10, MPFR_RNDN); mpfr_init(r22001); mpfr_init(r22002); mpfr_init(r22003); mpfr_init(r22004); mpfr_init(r22005); mpfr_init(r22006); mpfr_init(r22007); mpfr_init(r22008); mpfr_init(r22009); mpfr_init(r22010); mpfr_init(r22011); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21948, U, MPFR_RNDN); mpfr_add(r21949, r21948, r21948, MPFR_RNDN); mpfr_set_d(r21950, t, MPFR_RNDN); mpfr_set_d(r21951, l, MPFR_RNDN); mpfr_set_d(r21952, Om, MPFR_RNDN); mpfr_div(r21953, r21951, r21952, MPFR_RNDN); mpfr_add(r21954, r21951, r21951, MPFR_RNDN); mpfr_mul(r21955, r21953, r21954, MPFR_RNDN); mpfr_sub(r21956, r21950, r21955, MPFR_RNDN); mpfr_mul(r21957, r21949, r21956, MPFR_RNDN); ; mpfr_set_si(r21959, mpfr_cmp(r21957, r21958) <= 0, MPFR_RNDN); mpfr_set_d(r21960, n, MPFR_RNDN); mpfr_mul(r21961, r21950, r21960, MPFR_RNDN); mpfr_mul(r21962, r21961, r21949, MPFR_RNDN); mpfr_div(r21963, r21960, r21952, MPFR_RNDN); mpfr_mul(r21964, r21963, r21951, MPFR_RNDN); mpfr_mul(r21965, r21964, r21948, MPFR_RNDN); ; mpfr_mul(r21967, r21951, r21966, MPFR_RNDN); mpfr_mul(r21968, r21965, r21967, MPFR_RNDN); mpfr_sub(r21969, r21962, r21968, MPFR_RNDN); mpfr_sqrt(r21970, r21969, MPFR_RNDN); ; mpfr_set_si(r21972, mpfr_cmp(r21957, r21971) <= 0, MPFR_RNDN); ; mpfr_mul(r21974, r21973, r21960, MPFR_RNDN); mpfr_mul(r21975, r21951, r21951, MPFR_RNDN); mpfr_div(r21976, r21975, r21952, MPFR_RNDN); mpfr_mul(r21977, r21973, r21976, MPFR_RNDN); mpfr_sub(r21978, r21950, r21977, MPFR_RNDN); mpfr_pow(r21979, r21953, r21973, MPFR_RNDN); mpfr_mul(r21980, r21960, r21979, MPFR_RNDN); mpfr_set_d(r21981, U_, MPFR_RNDN); mpfr_sub(r21982, r21948, r21981, MPFR_RNDN); mpfr_mul(r21983, r21980, r21982, MPFR_RNDN); mpfr_sub(r21984, r21978, r21983, MPFR_RNDN); mpfr_mul(r21985, r21948, r21984, MPFR_RNDN); mpfr_mul(r21986, r21974, r21985, MPFR_RNDN); mpfr_sqrt(r21987, r21986, MPFR_RNDN); ; mpfr_set_si(r21989, mpfr_cmp(r21957, r21988) <= 0, MPFR_RNDN); mpfr_mul(r21990, r21974, r21948, MPFR_RNDN); mpfr_mul(r21991, r21953, r21960, MPFR_RNDN); mpfr_mul(r21992, r21982, r21953, MPFR_RNDN); mpfr_mul(r21993, r21991, r21992, MPFR_RNDN); ; mpfr_pow(r21995, r21993, r21994, MPFR_RNDN); mpfr_cbrt(r21996, r21995, MPFR_RNDN); mpfr_sub(r21997, r21978, r21996, MPFR_RNDN); mpfr_mul(r21998, r21990, r21997, MPFR_RNDN); mpfr_sqrt(r21999, r21998, MPFR_RNDN); ; mpfr_set_si(r22001, mpfr_cmp(r21957, r22000) <= 0, MPFR_RNDN); mpfr_div(r22002, r21948, r21952, MPFR_RNDN); mpfr_mul(r22003, r22002, r21951, MPFR_RNDN); mpfr_mul(r22004, r21960, r22003, MPFR_RNDN); mpfr_mul(r22005, r22004, r21967, MPFR_RNDN); mpfr_sub(r22006, r21962, r22005, MPFR_RNDN); mpfr_sqrt(r22007, r22006, MPFR_RNDN); if (mpfr_get_si(r22001, MPFR_RNDN)) { mpfr_set(r22008, r21987, MPFR_RNDN); } else { mpfr_set(r22008, r22007, MPFR_RNDN); }; if (mpfr_get_si(r21989, MPFR_RNDN)) { mpfr_set(r22009, r21999, MPFR_RNDN); } else { mpfr_set(r22009, r22008, MPFR_RNDN); }; if (mpfr_get_si(r21972, MPFR_RNDN)) { mpfr_set(r22010, r21987, MPFR_RNDN); } else { mpfr_set(r22010, r22009, MPFR_RNDN); }; if (mpfr_get_si(r21959, MPFR_RNDN)) { mpfr_set(r22011, r21970, MPFR_RNDN); } else { mpfr_set(r22011, r22010, MPFR_RNDN); }; return mpfr_get_d(r22011, MPFR_RNDN); }