#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 r21703 = 2; float r21704 = n; float r21705 = r21703 * r21704; float r21706 = U; float r21707 = r21705 * r21706; float r21708 = t; float r21709 = l; float r21710 = r21709 * r21709; float r21711 = Om; float r21712 = r21710 / r21711; float r21713 = r21703 * r21712; float r21714 = r21708 - r21713; float r21715 = r21709 / r21711; float r21716 = pow(r21715, r21703); float r21717 = r21704 * r21716; float r21718 = U_; float r21719 = r21706 - r21718; float r21720 = r21717 * r21719; float r21721 = r21714 - r21720; float r21722 = r21707 * r21721; float r21723 = sqrt(r21722); return r21723; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21724 = 2; double r21725 = n; double r21726 = r21724 * r21725; double r21727 = U; double r21728 = r21726 * r21727; double r21729 = t; double r21730 = l; double r21731 = r21730 * r21730; double r21732 = Om; double r21733 = r21731 / r21732; double r21734 = r21724 * r21733; double r21735 = r21729 - r21734; double r21736 = r21730 / r21732; double r21737 = pow(r21736, r21724); double r21738 = r21725 * r21737; double r21739 = U_; double r21740 = r21727 - r21739; double r21741 = r21738 * r21740; double r21742 = r21735 - r21741; double r21743 = r21728 * r21742; double r21744 = sqrt(r21743); return r21744; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21745 = 2; float r21746 = n; float r21747 = r21745 * r21746; float r21748 = sqrt(r21747); float r21749 = t; float r21750 = l; float r21751 = Om; float r21752 = r21750 / r21751; float r21753 = r21752 * r21746; float r21754 = U; float r21755 = U_; float r21756 = r21754 - r21755; float r21757 = r21752 * r21756; float r21758 = r21750 + r21750; float r21759 = r21752 * r21758; float r21760 = fma(r21753, r21757, r21759); float r21761 = r21749 - r21760; float r21762 = r21761 * r21754; float r21763 = sqrt(r21762); float r21764 = r21748 * r21763; float r21765 = 0.0; bool r21766 = r21764 <= r21765; float r21767 = r21747 * r21754; float r21768 = sqrt(r21767); float r21769 = r21750 * r21750; float r21770 = r21769 / r21751; float r21771 = r21745 * r21770; float r21772 = r21749 - r21771; float r21773 = pow(r21752, r21745); float r21774 = r21746 * r21773; float r21775 = r21774 * r21756; float r21776 = r21772 - r21775; float r21777 = sqrt(r21776); float r21778 = r21768 * r21777; float r21779 = +inf.0; bool r21780 = r21764 <= r21779; float r21781 = r21746 * r21752; float r21782 = r21781 * r21752; float r21783 = r21782 * r21756; float r21784 = r21772 - r21783; float r21785 = r21754 * r21784; float r21786 = r21747 * r21785; float r21787 = sqrt(r21786); float r21788 = r21780 ? r21764 : r21787; float r21789 = r21766 ? r21778 : r21788; return r21789; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21790 = 2; double r21791 = n; double r21792 = r21790 * r21791; double r21793 = sqrt(r21792); double r21794 = t; double r21795 = l; double r21796 = Om; double r21797 = r21795 / r21796; double r21798 = r21797 * r21791; double r21799 = U; double r21800 = U_; double r21801 = r21799 - r21800; double r21802 = r21797 * r21801; double r21803 = r21795 + r21795; double r21804 = r21797 * r21803; double r21805 = fma(r21798, r21802, r21804); double r21806 = r21794 - r21805; double r21807 = r21806 * r21799; double r21808 = sqrt(r21807); double r21809 = r21793 * r21808; double r21810 = 0.0; bool r21811 = r21809 <= r21810; double r21812 = r21792 * r21799; double r21813 = sqrt(r21812); double r21814 = r21795 * r21795; double r21815 = r21814 / r21796; double r21816 = r21790 * r21815; double r21817 = r21794 - r21816; double r21818 = pow(r21797, r21790); double r21819 = r21791 * r21818; double r21820 = r21819 * r21801; double r21821 = r21817 - r21820; double r21822 = sqrt(r21821); double r21823 = r21813 * r21822; double r21824 = +inf.0; bool r21825 = r21809 <= r21824; double r21826 = r21791 * r21797; double r21827 = r21826 * r21797; double r21828 = r21827 * r21801; double r21829 = r21817 - r21828; double r21830 = r21799 * r21829; double r21831 = r21792 * r21830; double r21832 = sqrt(r21831); double r21833 = r21825 ? r21809 : r21832; double r21834 = r21811 ? r21823 : r21833; return r21834; } 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 r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21835, "2", 10, MPFR_RNDN); mpfr_init(r21836); mpfr_init(r21837); mpfr_init(r21838); mpfr_init(r21839); mpfr_init(r21840); mpfr_init(r21841); mpfr_init(r21842); mpfr_init(r21843); mpfr_init(r21844); mpfr_init(r21845); mpfr_init(r21846); mpfr_init(r21847); mpfr_init(r21848); mpfr_init(r21849); mpfr_init(r21850); mpfr_init(r21851); mpfr_init(r21852); mpfr_init(r21853); mpfr_init(r21854); mpfr_init(r21855); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21836, n, MPFR_RNDN); mpfr_mul(r21837, r21835, r21836, MPFR_RNDN); mpfr_set_d(r21838, U, MPFR_RNDN); mpfr_mul(r21839, r21837, r21838, MPFR_RNDN); mpfr_set_d(r21840, t, MPFR_RNDN); mpfr_set_d(r21841, l, MPFR_RNDN); mpfr_mul(r21842, r21841, r21841, MPFR_RNDN); mpfr_set_d(r21843, Om, MPFR_RNDN); mpfr_div(r21844, r21842, r21843, MPFR_RNDN); mpfr_mul(r21845, r21835, r21844, MPFR_RNDN); mpfr_sub(r21846, r21840, r21845, MPFR_RNDN); mpfr_div(r21847, r21841, r21843, MPFR_RNDN); mpfr_pow(r21848, r21847, r21835, MPFR_RNDN); mpfr_mul(r21849, r21836, r21848, MPFR_RNDN); mpfr_set_d(r21850, U_, MPFR_RNDN); mpfr_sub(r21851, r21838, r21850, MPFR_RNDN); mpfr_mul(r21852, r21849, r21851, MPFR_RNDN); mpfr_sub(r21853, r21846, r21852, MPFR_RNDN); mpfr_mul(r21854, r21839, r21853, MPFR_RNDN); mpfr_sqrt(r21855, r21854, MPFR_RNDN); return mpfr_get_d(r21855, MPFR_RNDN); } static mpfr_t r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r21856, "2", 10, MPFR_RNDN); mpfr_init(r21857); mpfr_init(r21858); mpfr_init(r21859); mpfr_init(r21860); mpfr_init(r21861); mpfr_init(r21862); mpfr_init(r21863); 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_set_str(r21876, "0.0", 10, MPFR_RNDN); mpfr_init(r21877); mpfr_init(r21878); mpfr_init(r21879); mpfr_init(r21880); mpfr_init(r21881); mpfr_init(r21882); mpfr_init(r21883); mpfr_init(r21884); mpfr_init(r21885); mpfr_init(r21886); mpfr_init(r21887); mpfr_init(r21888); mpfr_init(r21889); mpfr_init_set_str(r21890, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21891); mpfr_init(r21892); mpfr_init(r21893); mpfr_init(r21894); mpfr_init(r21895); mpfr_init(r21896); mpfr_init(r21897); mpfr_init(r21898); mpfr_init(r21899); mpfr_init(r21900); } double f_fm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21857, n, MPFR_RNDN); mpfr_mul(r21858, r21856, r21857, MPFR_RNDN); mpfr_sqrt(r21859, r21858, MPFR_RNDN); mpfr_set_d(r21860, t, MPFR_RNDN); mpfr_set_d(r21861, l, MPFR_RNDN); mpfr_set_d(r21862, Om, MPFR_RNDN); mpfr_div(r21863, r21861, r21862, MPFR_RNDN); mpfr_mul(r21864, r21863, r21857, MPFR_RNDN); mpfr_set_d(r21865, U, MPFR_RNDN); mpfr_set_d(r21866, U_, MPFR_RNDN); mpfr_sub(r21867, r21865, r21866, MPFR_RNDN); mpfr_mul(r21868, r21863, r21867, MPFR_RNDN); mpfr_add(r21869, r21861, r21861, MPFR_RNDN); mpfr_mul(r21870, r21863, r21869, MPFR_RNDN); mpfr_fma(r21871, r21864, r21868, r21870, MPFR_RNDN); mpfr_sub(r21872, r21860, r21871, MPFR_RNDN); mpfr_mul(r21873, r21872, r21865, MPFR_RNDN); mpfr_sqrt(r21874, r21873, MPFR_RNDN); mpfr_mul(r21875, r21859, r21874, MPFR_RNDN); ; mpfr_set_si(r21877, mpfr_cmp(r21875, r21876) <= 0, MPFR_RNDN); mpfr_mul(r21878, r21858, r21865, MPFR_RNDN); mpfr_sqrt(r21879, r21878, MPFR_RNDN); mpfr_mul(r21880, r21861, r21861, MPFR_RNDN); mpfr_div(r21881, r21880, r21862, MPFR_RNDN); mpfr_mul(r21882, r21856, r21881, MPFR_RNDN); mpfr_sub(r21883, r21860, r21882, MPFR_RNDN); mpfr_pow(r21884, r21863, r21856, MPFR_RNDN); mpfr_mul(r21885, r21857, r21884, MPFR_RNDN); mpfr_mul(r21886, r21885, r21867, MPFR_RNDN); mpfr_sub(r21887, r21883, r21886, MPFR_RNDN); mpfr_sqrt(r21888, r21887, MPFR_RNDN); mpfr_mul(r21889, r21879, r21888, MPFR_RNDN); ; mpfr_set_si(r21891, mpfr_cmp(r21875, r21890) <= 0, MPFR_RNDN); mpfr_mul(r21892, r21857, r21863, MPFR_RNDN); mpfr_mul(r21893, r21892, r21863, MPFR_RNDN); mpfr_mul(r21894, r21893, r21867, MPFR_RNDN); mpfr_sub(r21895, r21883, r21894, MPFR_RNDN); mpfr_mul(r21896, r21865, r21895, MPFR_RNDN); mpfr_mul(r21897, r21858, r21896, MPFR_RNDN); mpfr_sqrt(r21898, r21897, MPFR_RNDN); if (mpfr_get_si(r21891, MPFR_RNDN)) { mpfr_set(r21899, r21875, MPFR_RNDN); } else { mpfr_set(r21899, r21898, MPFR_RNDN); }; if (mpfr_get_si(r21877, MPFR_RNDN)) { mpfr_set(r21900, r21889, MPFR_RNDN); } else { mpfr_set(r21900, r21899, MPFR_RNDN); }; return mpfr_get_d(r21900, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r21901, "2", 10, MPFR_RNDN); mpfr_init(r21902); mpfr_init(r21903); mpfr_init(r21904); mpfr_init(r21905); mpfr_init(r21906); mpfr_init(r21907); mpfr_init(r21908); mpfr_init(r21909); 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_set_str(r21921, "0.0", 10, MPFR_RNDN); mpfr_init(r21922); mpfr_init(r21923); mpfr_init(r21924); mpfr_init(r21925); mpfr_init(r21926); mpfr_init(r21927); mpfr_init(r21928); mpfr_init(r21929); mpfr_init(r21930); mpfr_init(r21931); mpfr_init(r21932); mpfr_init(r21933); mpfr_init(r21934); mpfr_init_set_str(r21935, "+inf.0", 10, MPFR_RNDN); mpfr_init(r21936); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21902, n, MPFR_RNDN); mpfr_mul(r21903, r21901, r21902, MPFR_RNDN); mpfr_sqrt(r21904, r21903, MPFR_RNDN); mpfr_set_d(r21905, t, MPFR_RNDN); mpfr_set_d(r21906, l, MPFR_RNDN); mpfr_set_d(r21907, Om, MPFR_RNDN); mpfr_div(r21908, r21906, r21907, MPFR_RNDN); mpfr_mul(r21909, r21908, r21902, MPFR_RNDN); mpfr_set_d(r21910, U, MPFR_RNDN); mpfr_set_d(r21911, U_, MPFR_RNDN); mpfr_sub(r21912, r21910, r21911, MPFR_RNDN); mpfr_mul(r21913, r21908, r21912, MPFR_RNDN); mpfr_add(r21914, r21906, r21906, MPFR_RNDN); mpfr_mul(r21915, r21908, r21914, MPFR_RNDN); mpfr_fma(r21916, r21909, r21913, r21915, MPFR_RNDN); mpfr_sub(r21917, r21905, r21916, MPFR_RNDN); mpfr_mul(r21918, r21917, r21910, MPFR_RNDN); mpfr_sqrt(r21919, r21918, MPFR_RNDN); mpfr_mul(r21920, r21904, r21919, MPFR_RNDN); ; mpfr_set_si(r21922, mpfr_cmp(r21920, r21921) <= 0, MPFR_RNDN); mpfr_mul(r21923, r21903, r21910, MPFR_RNDN); mpfr_sqrt(r21924, r21923, MPFR_RNDN); mpfr_mul(r21925, r21906, r21906, MPFR_RNDN); mpfr_div(r21926, r21925, r21907, MPFR_RNDN); mpfr_mul(r21927, r21901, r21926, MPFR_RNDN); mpfr_sub(r21928, r21905, r21927, MPFR_RNDN); mpfr_pow(r21929, r21908, r21901, MPFR_RNDN); mpfr_mul(r21930, r21902, r21929, MPFR_RNDN); mpfr_mul(r21931, r21930, r21912, MPFR_RNDN); mpfr_sub(r21932, r21928, r21931, MPFR_RNDN); mpfr_sqrt(r21933, r21932, MPFR_RNDN); mpfr_mul(r21934, r21924, r21933, MPFR_RNDN); ; mpfr_set_si(r21936, mpfr_cmp(r21920, r21935) <= 0, MPFR_RNDN); mpfr_mul(r21937, r21902, r21908, MPFR_RNDN); mpfr_mul(r21938, r21937, r21908, MPFR_RNDN); mpfr_mul(r21939, r21938, r21912, MPFR_RNDN); mpfr_sub(r21940, r21928, r21939, MPFR_RNDN); mpfr_mul(r21941, r21910, r21940, MPFR_RNDN); mpfr_mul(r21942, r21903, r21941, MPFR_RNDN); mpfr_sqrt(r21943, r21942, MPFR_RNDN); if (mpfr_get_si(r21936, MPFR_RNDN)) { mpfr_set(r21944, r21920, MPFR_RNDN); } else { mpfr_set(r21944, r21943, MPFR_RNDN); }; if (mpfr_get_si(r21922, MPFR_RNDN)) { mpfr_set(r21945, r21934, MPFR_RNDN); } else { mpfr_set(r21945, r21944, MPFR_RNDN); }; return mpfr_get_d(r21945, MPFR_RNDN); }