#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 r21674 = 2; float r21675 = n; float r21676 = r21674 * r21675; float r21677 = U; float r21678 = r21676 * r21677; float r21679 = t; float r21680 = l; float r21681 = r21680 * r21680; float r21682 = Om; float r21683 = r21681 / r21682; float r21684 = r21674 * r21683; float r21685 = r21679 - r21684; float r21686 = r21680 / r21682; float r21687 = pow(r21686, r21674); float r21688 = r21675 * r21687; float r21689 = U_; float r21690 = r21677 - r21689; float r21691 = r21688 * r21690; float r21692 = r21685 - r21691; float r21693 = r21678 * r21692; float r21694 = sqrt(r21693); return r21694; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21695 = 2; double r21696 = n; double r21697 = r21695 * r21696; double r21698 = U; double r21699 = r21697 * r21698; double r21700 = t; double r21701 = l; double r21702 = r21701 * r21701; double r21703 = Om; double r21704 = r21702 / r21703; double r21705 = r21695 * r21704; double r21706 = r21700 - r21705; double r21707 = r21701 / r21703; double r21708 = pow(r21707, r21695); double r21709 = r21696 * r21708; double r21710 = U_; double r21711 = r21698 - r21710; double r21712 = r21709 * r21711; double r21713 = r21706 - r21712; double r21714 = r21699 * r21713; double r21715 = sqrt(r21714); return r21715; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21716 = n; float r21717 = U; float r21718 = r21717 + r21717; float r21719 = r21716 * r21718; float r21720 = -2.076408486009262e-146; bool r21721 = r21719 <= r21720; float r21722 = 2; float r21723 = r21722 * r21716; float r21724 = r21723 * r21717; float r21725 = t; float r21726 = l; float r21727 = Om; float r21728 = r21727 / r21726; float r21729 = r21726 / r21728; float r21730 = r21722 * r21729; float r21731 = r21725 - r21730; float r21732 = r21726 / r21727; float r21733 = pow(r21732, r21722); float r21734 = r21716 * r21733; float r21735 = U_; float r21736 = r21717 - r21735; float r21737 = r21734 * r21736; float r21738 = r21731 - r21737; float r21739 = r21724 * r21738; float r21740 = sqrt(r21739); float r21741 = cbrt(r21740); float r21742 = r21741 * r21741; float r21743 = r21742 * r21741; float r21744 = 2.9165184198998e-317; bool r21745 = r21719 <= r21744; float r21746 = r21717 * r21738; float r21747 = r21723 * r21746; float r21748 = sqrt(r21747); float r21749 = sqrt(r21724); float r21750 = sqrt(r21738); float r21751 = r21749 * r21750; float r21752 = r21745 ? r21748 : r21751; float r21753 = r21721 ? r21743 : r21752; return r21753; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21754 = n; double r21755 = U; double r21756 = r21755 + r21755; double r21757 = r21754 * r21756; double r21758 = -2.076408486009262e-146; bool r21759 = r21757 <= r21758; double r21760 = 2; double r21761 = r21760 * r21754; double r21762 = r21761 * r21755; double r21763 = t; double r21764 = l; double r21765 = Om; double r21766 = r21765 / r21764; double r21767 = r21764 / r21766; double r21768 = r21760 * r21767; double r21769 = r21763 - r21768; double r21770 = r21764 / r21765; double r21771 = pow(r21770, r21760); double r21772 = r21754 * r21771; double r21773 = U_; double r21774 = r21755 - r21773; double r21775 = r21772 * r21774; double r21776 = r21769 - r21775; double r21777 = r21762 * r21776; double r21778 = sqrt(r21777); double r21779 = cbrt(r21778); double r21780 = r21779 * r21779; double r21781 = r21780 * r21779; double r21782 = 2.9165184198998e-317; bool r21783 = r21757 <= r21782; double r21784 = r21755 * r21776; double r21785 = r21761 * r21784; double r21786 = sqrt(r21785); double r21787 = sqrt(r21762); double r21788 = sqrt(r21776); double r21789 = r21787 * r21788; double r21790 = r21783 ? r21786 : r21789; double r21791 = r21759 ? r21781 : r21790; return r21791; } 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 r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21792, "2", 10, MPFR_RNDN); mpfr_init(r21793); mpfr_init(r21794); mpfr_init(r21795); mpfr_init(r21796); mpfr_init(r21797); mpfr_init(r21798); mpfr_init(r21799); mpfr_init(r21800); mpfr_init(r21801); mpfr_init(r21802); mpfr_init(r21803); mpfr_init(r21804); mpfr_init(r21805); mpfr_init(r21806); mpfr_init(r21807); mpfr_init(r21808); mpfr_init(r21809); mpfr_init(r21810); mpfr_init(r21811); mpfr_init(r21812); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21793, n, MPFR_RNDN); mpfr_mul(r21794, r21792, r21793, MPFR_RNDN); mpfr_set_d(r21795, U, MPFR_RNDN); mpfr_mul(r21796, r21794, r21795, MPFR_RNDN); mpfr_set_d(r21797, t, MPFR_RNDN); mpfr_set_d(r21798, l, MPFR_RNDN); mpfr_mul(r21799, r21798, r21798, MPFR_RNDN); mpfr_set_d(r21800, Om, MPFR_RNDN); mpfr_div(r21801, r21799, r21800, MPFR_RNDN); mpfr_mul(r21802, r21792, r21801, MPFR_RNDN); mpfr_sub(r21803, r21797, r21802, MPFR_RNDN); mpfr_div(r21804, r21798, r21800, MPFR_RNDN); mpfr_pow(r21805, r21804, r21792, MPFR_RNDN); mpfr_mul(r21806, r21793, r21805, MPFR_RNDN); mpfr_set_d(r21807, U_, MPFR_RNDN); mpfr_sub(r21808, r21795, r21807, MPFR_RNDN); mpfr_mul(r21809, r21806, r21808, MPFR_RNDN); mpfr_sub(r21810, r21803, r21809, MPFR_RNDN); mpfr_mul(r21811, r21796, r21810, MPFR_RNDN); mpfr_sqrt(r21812, r21811, MPFR_RNDN); return mpfr_get_d(r21812, MPFR_RNDN); } static mpfr_t r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21813); mpfr_init(r21814); mpfr_init(r21815); mpfr_init(r21816); mpfr_init_set_str(r21817, "-2.076408486009262e-146", 10, MPFR_RNDN); mpfr_init(r21818); mpfr_init_set_str(r21819, "2", 10, MPFR_RNDN); mpfr_init(r21820); mpfr_init(r21821); mpfr_init(r21822); mpfr_init(r21823); mpfr_init(r21824); mpfr_init(r21825); mpfr_init(r21826); mpfr_init(r21827); mpfr_init(r21828); mpfr_init(r21829); mpfr_init(r21830); mpfr_init(r21831); mpfr_init(r21832); mpfr_init(r21833); mpfr_init(r21834); mpfr_init(r21835); mpfr_init(r21836); mpfr_init(r21837); mpfr_init(r21838); mpfr_init(r21839); mpfr_init(r21840); mpfr_init_set_str(r21841, "2.9165184198998e-317", 10, MPFR_RNDN); 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); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21813, n, MPFR_RNDN); mpfr_set_d(r21814, U, MPFR_RNDN); mpfr_add(r21815, r21814, r21814, MPFR_RNDN); mpfr_mul(r21816, r21813, r21815, MPFR_RNDN); ; mpfr_set_si(r21818, mpfr_cmp(r21816, r21817) <= 0, MPFR_RNDN); ; mpfr_mul(r21820, r21819, r21813, MPFR_RNDN); mpfr_mul(r21821, r21820, r21814, MPFR_RNDN); mpfr_set_d(r21822, t, MPFR_RNDN); mpfr_set_d(r21823, l, MPFR_RNDN); mpfr_set_d(r21824, Om, MPFR_RNDN); mpfr_div(r21825, r21824, r21823, MPFR_RNDN); mpfr_div(r21826, r21823, r21825, MPFR_RNDN); mpfr_mul(r21827, r21819, r21826, MPFR_RNDN); mpfr_sub(r21828, r21822, r21827, MPFR_RNDN); mpfr_div(r21829, r21823, r21824, MPFR_RNDN); mpfr_pow(r21830, r21829, r21819, MPFR_RNDN); mpfr_mul(r21831, r21813, r21830, MPFR_RNDN); mpfr_set_d(r21832, U_, MPFR_RNDN); mpfr_sub(r21833, r21814, r21832, MPFR_RNDN); mpfr_mul(r21834, r21831, r21833, MPFR_RNDN); mpfr_sub(r21835, r21828, r21834, MPFR_RNDN); mpfr_mul(r21836, r21821, r21835, MPFR_RNDN); mpfr_sqrt(r21837, r21836, MPFR_RNDN); mpfr_cbrt(r21838, r21837, MPFR_RNDN); mpfr_mul(r21839, r21838, r21838, MPFR_RNDN); mpfr_mul(r21840, r21839, r21838, MPFR_RNDN); ; mpfr_set_si(r21842, mpfr_cmp(r21816, r21841) <= 0, MPFR_RNDN); mpfr_mul(r21843, r21814, r21835, MPFR_RNDN); mpfr_mul(r21844, r21820, r21843, MPFR_RNDN); mpfr_sqrt(r21845, r21844, MPFR_RNDN); mpfr_sqrt(r21846, r21821, MPFR_RNDN); mpfr_sqrt(r21847, r21835, MPFR_RNDN); mpfr_mul(r21848, r21846, r21847, MPFR_RNDN); if (mpfr_get_si(r21842, MPFR_RNDN)) { mpfr_set(r21849, r21845, MPFR_RNDN); } else { mpfr_set(r21849, r21848, MPFR_RNDN); }; if (mpfr_get_si(r21818, MPFR_RNDN)) { mpfr_set(r21850, r21840, MPFR_RNDN); } else { mpfr_set(r21850, r21849, MPFR_RNDN); }; return mpfr_get_d(r21850, MPFR_RNDN); } static mpfr_t r21851, r21852, r21853, r21854, r21855, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21851); mpfr_init(r21852); mpfr_init(r21853); mpfr_init(r21854); mpfr_init_set_str(r21855, "-2.076408486009262e-146", 10, MPFR_RNDN); mpfr_init(r21856); mpfr_init_set_str(r21857, "2", 10, MPFR_RNDN); 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(r21876); mpfr_init(r21877); mpfr_init(r21878); mpfr_init_set_str(r21879, "2.9165184198998e-317", 10, MPFR_RNDN); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21851, n, MPFR_RNDN); mpfr_set_d(r21852, U, MPFR_RNDN); mpfr_add(r21853, r21852, r21852, MPFR_RNDN); mpfr_mul(r21854, r21851, r21853, MPFR_RNDN); ; mpfr_set_si(r21856, mpfr_cmp(r21854, r21855) <= 0, MPFR_RNDN); ; mpfr_mul(r21858, r21857, r21851, MPFR_RNDN); mpfr_mul(r21859, r21858, r21852, 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, r21862, r21861, MPFR_RNDN); mpfr_div(r21864, r21861, r21863, MPFR_RNDN); mpfr_mul(r21865, r21857, r21864, MPFR_RNDN); mpfr_sub(r21866, r21860, r21865, MPFR_RNDN); mpfr_div(r21867, r21861, r21862, MPFR_RNDN); mpfr_pow(r21868, r21867, r21857, MPFR_RNDN); mpfr_mul(r21869, r21851, r21868, MPFR_RNDN); mpfr_set_d(r21870, U_, MPFR_RNDN); mpfr_sub(r21871, r21852, r21870, MPFR_RNDN); mpfr_mul(r21872, r21869, r21871, MPFR_RNDN); mpfr_sub(r21873, r21866, r21872, MPFR_RNDN); mpfr_mul(r21874, r21859, r21873, MPFR_RNDN); mpfr_sqrt(r21875, r21874, MPFR_RNDN); mpfr_cbrt(r21876, r21875, MPFR_RNDN); mpfr_mul(r21877, r21876, r21876, MPFR_RNDN); mpfr_mul(r21878, r21877, r21876, MPFR_RNDN); ; mpfr_set_si(r21880, mpfr_cmp(r21854, r21879) <= 0, MPFR_RNDN); mpfr_mul(r21881, r21852, r21873, MPFR_RNDN); mpfr_mul(r21882, r21858, r21881, MPFR_RNDN); mpfr_sqrt(r21883, r21882, MPFR_RNDN); mpfr_sqrt(r21884, r21859, MPFR_RNDN); mpfr_sqrt(r21885, r21873, MPFR_RNDN); mpfr_mul(r21886, r21884, r21885, MPFR_RNDN); if (mpfr_get_si(r21880, MPFR_RNDN)) { mpfr_set(r21887, r21883, MPFR_RNDN); } else { mpfr_set(r21887, r21886, MPFR_RNDN); }; if (mpfr_get_si(r21856, MPFR_RNDN)) { mpfr_set(r21888, r21878, MPFR_RNDN); } else { mpfr_set(r21888, r21887, MPFR_RNDN); }; return mpfr_get_d(r21888, MPFR_RNDN); }