#include #include #include #include #include char *name = "Toniolo and Linder, Equation (7)"; double f_if(float x, float l, float t) { float r20660 = 2; float r20661 = sqrt(r20660); float r20662 = t; float r20663 = r20661 * r20662; float r20664 = x; float r20665 = 1; float r20666 = r20664 + r20665; float r20667 = r20664 - r20665; float r20668 = r20666 / r20667; float r20669 = l; float r20670 = r20669 * r20669; float r20671 = r20662 * r20662; float r20672 = r20660 * r20671; float r20673 = r20670 + r20672; float r20674 = r20668 * r20673; float r20675 = r20674 - r20670; float r20676 = sqrt(r20675); float r20677 = r20663 / r20676; return r20677; } double f_id(double x, double l, double t) { double r20678 = 2; double r20679 = sqrt(r20678); double r20680 = t; double r20681 = r20679 * r20680; double r20682 = x; double r20683 = 1; double r20684 = r20682 + r20683; double r20685 = r20682 - r20683; double r20686 = r20684 / r20685; double r20687 = l; double r20688 = r20687 * r20687; double r20689 = r20680 * r20680; double r20690 = r20678 * r20689; double r20691 = r20688 + r20690; double r20692 = r20686 * r20691; double r20693 = r20692 - r20688; double r20694 = sqrt(r20693); double r20695 = r20681 / r20694; return r20695; } double f_of(float x, float l, float t) { float r20696 = t; float r20697 = -5.208116910601954e+139; bool r20698 = r20696 <= r20697; float r20699 = 2; float r20700 = sqrt(r20699); float r20701 = r20696 * r20700; float r20702 = x; float r20703 = r20696 / r20702; float r20704 = r20703 / r20702; float r20705 = 1; float r20706 = r20705 / r20700; float r20707 = r20704 * r20706; float r20708 = r20699 / r20700; float r20709 = fma(r20708, r20703, r20701); float r20710 = fma(r20708, r20704, r20709); float r20711 = r20707 - r20710; float r20712 = r20701 / r20711; float r20713 = -9.84381717448642e-131; bool r20714 = r20696 <= r20713; float r20715 = cbrt(r20700); float r20716 = r20715 * r20715; float r20717 = r20696 * r20716; float r20718 = cbrt(r20715); float r20719 = r20718 * r20718; float r20720 = r20717 * r20719; float r20721 = r20720 * r20718; float r20722 = l; float r20723 = r20722 / r20702; float r20724 = r20696 * r20696; float r20725 = fma(r20723, r20722, r20724); float r20726 = 4; float r20727 = r20726 / r20702; float r20728 = r20727 * r20724; float r20729 = fma(r20699, r20725, r20728); float r20730 = sqrt(r20729); float r20731 = r20721 / r20730; float r20732 = -6.432140854570408e-257; bool r20733 = r20696 <= r20732; float r20734 = 9.803892206344536e+115; bool r20735 = r20696 <= r20734; float r20736 = r20708 - r20706; float r20737 = r20704 * r20736; float r20738 = r20696 / r20700; float r20739 = r20699 / r20702; float r20740 = fma(r20738, r20739, r20701); float r20741 = r20737 + r20740; float r20742 = r20701 / r20741; float r20743 = r20735 ? r20731 : r20742; float r20744 = r20733 ? r20712 : r20743; float r20745 = r20714 ? r20731 : r20744; float r20746 = r20698 ? r20712 : r20745; return r20746; } double f_od(double x, double l, double t) { double r20747 = t; double r20748 = -5.208116910601954e+139; bool r20749 = r20747 <= r20748; double r20750 = 2; double r20751 = sqrt(r20750); double r20752 = r20747 * r20751; double r20753 = x; double r20754 = r20747 / r20753; double r20755 = r20754 / r20753; double r20756 = 1; double r20757 = r20756 / r20751; double r20758 = r20755 * r20757; double r20759 = r20750 / r20751; double r20760 = fma(r20759, r20754, r20752); double r20761 = fma(r20759, r20755, r20760); double r20762 = r20758 - r20761; double r20763 = r20752 / r20762; double r20764 = -9.84381717448642e-131; bool r20765 = r20747 <= r20764; double r20766 = cbrt(r20751); double r20767 = r20766 * r20766; double r20768 = r20747 * r20767; double r20769 = cbrt(r20766); double r20770 = r20769 * r20769; double r20771 = r20768 * r20770; double r20772 = r20771 * r20769; double r20773 = l; double r20774 = r20773 / r20753; double r20775 = r20747 * r20747; double r20776 = fma(r20774, r20773, r20775); double r20777 = 4; double r20778 = r20777 / r20753; double r20779 = r20778 * r20775; double r20780 = fma(r20750, r20776, r20779); double r20781 = sqrt(r20780); double r20782 = r20772 / r20781; double r20783 = -6.432140854570408e-257; bool r20784 = r20747 <= r20783; double r20785 = 9.803892206344536e+115; bool r20786 = r20747 <= r20785; double r20787 = r20759 - r20757; double r20788 = r20755 * r20787; double r20789 = r20747 / r20751; double r20790 = r20750 / r20753; double r20791 = fma(r20789, r20790, r20752); double r20792 = r20788 + r20791; double r20793 = r20752 / r20792; double r20794 = r20786 ? r20782 : r20793; double r20795 = r20784 ? r20763 : r20794; double r20796 = r20765 ? r20782 : r20795; double r20797 = r20749 ? r20763 : r20796; return r20797; } 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 r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806, r20807, r20808, r20809, r20810, r20811, r20812, r20813, r20814, r20815; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init_set_str(r20798, "2", 10, MPFR_RNDN); mpfr_init(r20799); mpfr_init(r20800); mpfr_init(r20801); mpfr_init(r20802); mpfr_init_set_str(r20803, "1", 10, MPFR_RNDN); mpfr_init(r20804); mpfr_init(r20805); mpfr_init(r20806); mpfr_init(r20807); mpfr_init(r20808); mpfr_init(r20809); mpfr_init(r20810); mpfr_init(r20811); mpfr_init(r20812); mpfr_init(r20813); mpfr_init(r20814); mpfr_init(r20815); } double f_im(double x, double l, double t) { ; mpfr_sqrt(r20799, r20798, MPFR_RNDN); mpfr_set_d(r20800, t, MPFR_RNDN); mpfr_mul(r20801, r20799, r20800, MPFR_RNDN); mpfr_set_d(r20802, x, MPFR_RNDN); ; mpfr_add(r20804, r20802, r20803, MPFR_RNDN); mpfr_sub(r20805, r20802, r20803, MPFR_RNDN); mpfr_div(r20806, r20804, r20805, MPFR_RNDN); mpfr_set_d(r20807, l, MPFR_RNDN); mpfr_mul(r20808, r20807, r20807, MPFR_RNDN); mpfr_mul(r20809, r20800, r20800, MPFR_RNDN); mpfr_mul(r20810, r20798, r20809, MPFR_RNDN); mpfr_add(r20811, r20808, r20810, MPFR_RNDN); mpfr_mul(r20812, r20806, r20811, MPFR_RNDN); mpfr_sub(r20813, r20812, r20808, MPFR_RNDN); mpfr_sqrt(r20814, r20813, MPFR_RNDN); mpfr_div(r20815, r20801, r20814, MPFR_RNDN); return mpfr_get_d(r20815, MPFR_RNDN); } static mpfr_t r20816, r20817, r20818, r20819, r20820, r20821, r20822, r20823, r20824, r20825, r20826, r20827, r20828, r20829, r20830, r20831, r20832, r20833, r20834, r20835, r20836, r20837, r20838, r20839, r20840, r20841, r20842, r20843, r20844, r20845, r20846, r20847, r20848, r20849, r20850, r20851, r20852, r20853, r20854, r20855, r20856, r20857, r20858, r20859, r20860, r20861, r20862, r20863, r20864, r20865, r20866; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r20816); mpfr_init_set_str(r20817, "-5.208116910601954e+139", 10, MPFR_RNDN); mpfr_init(r20818); mpfr_init_set_str(r20819, "2", 10, MPFR_RNDN); mpfr_init(r20820); mpfr_init(r20821); mpfr_init(r20822); mpfr_init(r20823); mpfr_init(r20824); mpfr_init_set_str(r20825, "1", 10, MPFR_RNDN); mpfr_init(r20826); mpfr_init(r20827); mpfr_init(r20828); mpfr_init(r20829); mpfr_init(r20830); mpfr_init(r20831); mpfr_init(r20832); mpfr_init_set_str(r20833, "-9.84381717448642e-131", 10, MPFR_RNDN); mpfr_init(r20834); mpfr_init(r20835); mpfr_init(r20836); mpfr_init(r20837); mpfr_init(r20838); mpfr_init(r20839); mpfr_init(r20840); mpfr_init(r20841); mpfr_init(r20842); mpfr_init(r20843); mpfr_init(r20844); mpfr_init(r20845); mpfr_init_set_str(r20846, "4", 10, MPFR_RNDN); mpfr_init(r20847); mpfr_init(r20848); mpfr_init(r20849); mpfr_init(r20850); mpfr_init(r20851); mpfr_init_set_str(r20852, "-6.432140854570408e-257", 10, MPFR_RNDN); mpfr_init(r20853); mpfr_init_set_str(r20854, "9.803892206344536e+115", 10, MPFR_RNDN); mpfr_init(r20855); mpfr_init(r20856); mpfr_init(r20857); mpfr_init(r20858); mpfr_init(r20859); mpfr_init(r20860); mpfr_init(r20861); mpfr_init(r20862); mpfr_init(r20863); mpfr_init(r20864); mpfr_init(r20865); mpfr_init(r20866); } double f_fm(double x, double l, double t) { mpfr_set_d(r20816, t, MPFR_RNDN); ; mpfr_set_si(r20818, mpfr_cmp(r20816, r20817) <= 0, MPFR_RNDN); ; mpfr_sqrt(r20820, r20819, MPFR_RNDN); mpfr_mul(r20821, r20816, r20820, MPFR_RNDN); mpfr_set_d(r20822, x, MPFR_RNDN); mpfr_div(r20823, r20816, r20822, MPFR_RNDN); mpfr_div(r20824, r20823, r20822, MPFR_RNDN); ; mpfr_div(r20826, r20825, r20820, MPFR_RNDN); mpfr_mul(r20827, r20824, r20826, MPFR_RNDN); mpfr_div(r20828, r20819, r20820, MPFR_RNDN); mpfr_fma(r20829, r20828, r20823, r20821, MPFR_RNDN); mpfr_fma(r20830, r20828, r20824, r20829, MPFR_RNDN); mpfr_sub(r20831, r20827, r20830, MPFR_RNDN); mpfr_div(r20832, r20821, r20831, MPFR_RNDN); ; mpfr_set_si(r20834, mpfr_cmp(r20816, r20833) <= 0, MPFR_RNDN); mpfr_cbrt(r20835, r20820, MPFR_RNDN); mpfr_mul(r20836, r20835, r20835, MPFR_RNDN); mpfr_mul(r20837, r20816, r20836, MPFR_RNDN); mpfr_cbrt(r20838, r20835, MPFR_RNDN); mpfr_mul(r20839, r20838, r20838, MPFR_RNDN); mpfr_mul(r20840, r20837, r20839, MPFR_RNDN); mpfr_mul(r20841, r20840, r20838, MPFR_RNDN); mpfr_set_d(r20842, l, MPFR_RNDN); mpfr_div(r20843, r20842, r20822, MPFR_RNDN); mpfr_mul(r20844, r20816, r20816, MPFR_RNDN); mpfr_fma(r20845, r20843, r20842, r20844, MPFR_RNDN); ; mpfr_div(r20847, r20846, r20822, MPFR_RNDN); mpfr_mul(r20848, r20847, r20844, MPFR_RNDN); mpfr_fma(r20849, r20819, r20845, r20848, MPFR_RNDN); mpfr_sqrt(r20850, r20849, MPFR_RNDN); mpfr_div(r20851, r20841, r20850, MPFR_RNDN); ; mpfr_set_si(r20853, mpfr_cmp(r20816, r20852) <= 0, MPFR_RNDN); ; mpfr_set_si(r20855, mpfr_cmp(r20816, r20854) <= 0, MPFR_RNDN); mpfr_sub(r20856, r20828, r20826, MPFR_RNDN); mpfr_mul(r20857, r20824, r20856, MPFR_RNDN); mpfr_div(r20858, r20816, r20820, MPFR_RNDN); mpfr_div(r20859, r20819, r20822, MPFR_RNDN); mpfr_fma(r20860, r20858, r20859, r20821, MPFR_RNDN); mpfr_add(r20861, r20857, r20860, MPFR_RNDN); mpfr_div(r20862, r20821, r20861, MPFR_RNDN); if (mpfr_get_si(r20855, MPFR_RNDN)) { mpfr_set(r20863, r20851, MPFR_RNDN); } else { mpfr_set(r20863, r20862, MPFR_RNDN); }; if (mpfr_get_si(r20853, MPFR_RNDN)) { mpfr_set(r20864, r20832, MPFR_RNDN); } else { mpfr_set(r20864, r20863, MPFR_RNDN); }; if (mpfr_get_si(r20834, MPFR_RNDN)) { mpfr_set(r20865, r20851, MPFR_RNDN); } else { mpfr_set(r20865, r20864, MPFR_RNDN); }; if (mpfr_get_si(r20818, MPFR_RNDN)) { mpfr_set(r20866, r20832, MPFR_RNDN); } else { mpfr_set(r20866, r20865, MPFR_RNDN); }; return mpfr_get_d(r20866, MPFR_RNDN); } static mpfr_t r20867, r20868, r20869, r20870, r20871, r20872, r20873, r20874, r20875, r20876, r20877, r20878, r20879, r20880, r20881, r20882, r20883, r20884, r20885, r20886, r20887, r20888, r20889, r20890, r20891, r20892, r20893, r20894, r20895, r20896, r20897, r20898, r20899, r20900, r20901, r20902, r20903, r20904, r20905, r20906, r20907, r20908, r20909, r20910, r20911, r20912, r20913, r20914, r20915, r20916, r20917; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r20867); mpfr_init_set_str(r20868, "-5.208116910601954e+139", 10, MPFR_RNDN); mpfr_init(r20869); mpfr_init_set_str(r20870, "2", 10, MPFR_RNDN); mpfr_init(r20871); mpfr_init(r20872); mpfr_init(r20873); mpfr_init(r20874); mpfr_init(r20875); mpfr_init_set_str(r20876, "1", 10, MPFR_RNDN); mpfr_init(r20877); mpfr_init(r20878); mpfr_init(r20879); mpfr_init(r20880); mpfr_init(r20881); mpfr_init(r20882); mpfr_init(r20883); mpfr_init_set_str(r20884, "-9.84381717448642e-131", 10, MPFR_RNDN); mpfr_init(r20885); mpfr_init(r20886); mpfr_init(r20887); mpfr_init(r20888); mpfr_init(r20889); mpfr_init(r20890); mpfr_init(r20891); mpfr_init(r20892); mpfr_init(r20893); mpfr_init(r20894); mpfr_init(r20895); mpfr_init(r20896); mpfr_init_set_str(r20897, "4", 10, MPFR_RNDN); mpfr_init(r20898); mpfr_init(r20899); mpfr_init(r20900); mpfr_init(r20901); mpfr_init(r20902); mpfr_init_set_str(r20903, "-6.432140854570408e-257", 10, MPFR_RNDN); mpfr_init(r20904); mpfr_init_set_str(r20905, "9.803892206344536e+115", 10, MPFR_RNDN); mpfr_init(r20906); mpfr_init(r20907); mpfr_init(r20908); mpfr_init(r20909); mpfr_init(r20910); mpfr_init(r20911); mpfr_init(r20912); mpfr_init(r20913); mpfr_init(r20914); mpfr_init(r20915); mpfr_init(r20916); mpfr_init(r20917); } double f_dm(double x, double l, double t) { mpfr_set_d(r20867, t, MPFR_RNDN); ; mpfr_set_si(r20869, mpfr_cmp(r20867, r20868) <= 0, MPFR_RNDN); ; mpfr_sqrt(r20871, r20870, MPFR_RNDN); mpfr_mul(r20872, r20867, r20871, MPFR_RNDN); mpfr_set_d(r20873, x, MPFR_RNDN); mpfr_div(r20874, r20867, r20873, MPFR_RNDN); mpfr_div(r20875, r20874, r20873, MPFR_RNDN); ; mpfr_div(r20877, r20876, r20871, MPFR_RNDN); mpfr_mul(r20878, r20875, r20877, MPFR_RNDN); mpfr_div(r20879, r20870, r20871, MPFR_RNDN); mpfr_fma(r20880, r20879, r20874, r20872, MPFR_RNDN); mpfr_fma(r20881, r20879, r20875, r20880, MPFR_RNDN); mpfr_sub(r20882, r20878, r20881, MPFR_RNDN); mpfr_div(r20883, r20872, r20882, MPFR_RNDN); ; mpfr_set_si(r20885, mpfr_cmp(r20867, r20884) <= 0, MPFR_RNDN); mpfr_cbrt(r20886, r20871, MPFR_RNDN); mpfr_mul(r20887, r20886, r20886, MPFR_RNDN); mpfr_mul(r20888, r20867, r20887, MPFR_RNDN); mpfr_cbrt(r20889, r20886, MPFR_RNDN); mpfr_mul(r20890, r20889, r20889, MPFR_RNDN); mpfr_mul(r20891, r20888, r20890, MPFR_RNDN); mpfr_mul(r20892, r20891, r20889, MPFR_RNDN); mpfr_set_d(r20893, l, MPFR_RNDN); mpfr_div(r20894, r20893, r20873, MPFR_RNDN); mpfr_mul(r20895, r20867, r20867, MPFR_RNDN); mpfr_fma(r20896, r20894, r20893, r20895, MPFR_RNDN); ; mpfr_div(r20898, r20897, r20873, MPFR_RNDN); mpfr_mul(r20899, r20898, r20895, MPFR_RNDN); mpfr_fma(r20900, r20870, r20896, r20899, MPFR_RNDN); mpfr_sqrt(r20901, r20900, MPFR_RNDN); mpfr_div(r20902, r20892, r20901, MPFR_RNDN); ; mpfr_set_si(r20904, mpfr_cmp(r20867, r20903) <= 0, MPFR_RNDN); ; mpfr_set_si(r20906, mpfr_cmp(r20867, r20905) <= 0, MPFR_RNDN); mpfr_sub(r20907, r20879, r20877, MPFR_RNDN); mpfr_mul(r20908, r20875, r20907, MPFR_RNDN); mpfr_div(r20909, r20867, r20871, MPFR_RNDN); mpfr_div(r20910, r20870, r20873, MPFR_RNDN); mpfr_fma(r20911, r20909, r20910, r20872, MPFR_RNDN); mpfr_add(r20912, r20908, r20911, MPFR_RNDN); mpfr_div(r20913, r20872, r20912, MPFR_RNDN); if (mpfr_get_si(r20906, MPFR_RNDN)) { mpfr_set(r20914, r20902, MPFR_RNDN); } else { mpfr_set(r20914, r20913, MPFR_RNDN); }; if (mpfr_get_si(r20904, MPFR_RNDN)) { mpfr_set(r20915, r20883, MPFR_RNDN); } else { mpfr_set(r20915, r20914, MPFR_RNDN); }; if (mpfr_get_si(r20885, MPFR_RNDN)) { mpfr_set(r20916, r20902, MPFR_RNDN); } else { mpfr_set(r20916, r20915, MPFR_RNDN); }; if (mpfr_get_si(r20869, MPFR_RNDN)) { mpfr_set(r20917, r20883, MPFR_RNDN); } else { mpfr_set(r20917, r20916, MPFR_RNDN); }; return mpfr_get_d(r20917, MPFR_RNDN); }