#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22693 = x; float r22694 = 1; float r22695 = r22693 + r22694; float r22696 = n; float r22697 = r22694 / r22696; float r22698 = pow(r22695, r22697); float r22699 = pow(r22693, r22697); float r22700 = r22698 - r22699; return r22700; } double f_id(double x, double n) { double r22701 = x; double r22702 = 1; double r22703 = r22701 + r22702; double r22704 = n; double r22705 = r22702 / r22704; double r22706 = pow(r22703, r22705); double r22707 = pow(r22701, r22705); double r22708 = r22706 - r22707; return r22708; } double f_of(float x, float n) { float r22709 = x; float r22710 = 0.9699025539987266; bool r22711 = r22709 <= r22710; float r22712 = 1; float r22713 = r22712 + r22709; float r22714 = n; float r22715 = r22712 / r22714; float r22716 = pow(r22713, r22715); float r22717 = r22716 - r22712; float r22718 = log(r22709); float r22719 = 1/2; float r22720 = r22719 / r22714; float r22721 = r22718 * r22720; float r22722 = r22714 / r22718; float r22723 = r22721 / r22722; float r22724 = r22717 - r22723; float r22725 = r22718 / r22714; float r22726 = r22724 - r22725; float r22727 = 8.71168452440382e+29; bool r22728 = r22709 <= r22727; float r22729 = 3; float r22730 = pow(r22716, r22729); float r22731 = cbrt(r22730); float r22732 = pow(r22709, r22715); float r22733 = r22731 - r22732; float r22734 = 2.4826320178462265e+82; bool r22735 = r22709 <= r22734; float r22736 = r22718 / r22709; float r22737 = r22714 * r22714; float r22738 = r22736 / r22737; float r22739 = r22709 * r22714; float r22740 = r22712 / r22739; float r22741 = r22709 * r22709; float r22742 = r22720 / r22741; float r22743 = r22740 - r22742; float r22744 = r22738 + r22743; float r22745 = 2.0435857913622164e+146; bool r22746 = r22709 <= r22745; float r22747 = 1.67392202833612e+192; bool r22748 = r22709 <= r22747; float r22749 = r22715 / r22709; float r22750 = r22749 - r22742; float r22751 = r22714 * r22709; float r22752 = r22751 * r22714; float r22753 = r22718 / r22752; float r22754 = r22750 + r22753; float r22755 = r22716 - r22732; float r22756 = exp(r22755); float r22757 = cbrt(r22756); float r22758 = r22757 * r22757; float r22759 = log(r22758); float r22760 = log(r22757); float r22761 = r22759 + r22760; float r22762 = r22748 ? r22754 : r22761; float r22763 = r22746 ? r22733 : r22762; float r22764 = r22735 ? r22744 : r22763; float r22765 = r22728 ? r22733 : r22764; float r22766 = r22711 ? r22726 : r22765; return r22766; } double f_od(double x, double n) { double r22767 = x; double r22768 = 0.9699025539987266; bool r22769 = r22767 <= r22768; double r22770 = 1; double r22771 = r22770 + r22767; double r22772 = n; double r22773 = r22770 / r22772; double r22774 = pow(r22771, r22773); double r22775 = r22774 - r22770; double r22776 = log(r22767); double r22777 = 1/2; double r22778 = r22777 / r22772; double r22779 = r22776 * r22778; double r22780 = r22772 / r22776; double r22781 = r22779 / r22780; double r22782 = r22775 - r22781; double r22783 = r22776 / r22772; double r22784 = r22782 - r22783; double r22785 = 8.71168452440382e+29; bool r22786 = r22767 <= r22785; double r22787 = 3; double r22788 = pow(r22774, r22787); double r22789 = cbrt(r22788); double r22790 = pow(r22767, r22773); double r22791 = r22789 - r22790; double r22792 = 2.4826320178462265e+82; bool r22793 = r22767 <= r22792; double r22794 = r22776 / r22767; double r22795 = r22772 * r22772; double r22796 = r22794 / r22795; double r22797 = r22767 * r22772; double r22798 = r22770 / r22797; double r22799 = r22767 * r22767; double r22800 = r22778 / r22799; double r22801 = r22798 - r22800; double r22802 = r22796 + r22801; double r22803 = 2.0435857913622164e+146; bool r22804 = r22767 <= r22803; double r22805 = 1.67392202833612e+192; bool r22806 = r22767 <= r22805; double r22807 = r22773 / r22767; double r22808 = r22807 - r22800; double r22809 = r22772 * r22767; double r22810 = r22809 * r22772; double r22811 = r22776 / r22810; double r22812 = r22808 + r22811; double r22813 = r22774 - r22790; double r22814 = exp(r22813); double r22815 = cbrt(r22814); double r22816 = r22815 * r22815; double r22817 = log(r22816); double r22818 = log(r22815); double r22819 = r22817 + r22818; double r22820 = r22806 ? r22812 : r22819; double r22821 = r22804 ? r22791 : r22820; double r22822 = r22793 ? r22802 : r22821; double r22823 = r22786 ? r22791 : r22822; double r22824 = r22769 ? r22784 : r22823; return r22824; } 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 r22825, r22826, r22827, r22828, r22829, r22830, r22831, r22832; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22825); mpfr_init_set_str(r22826, "1", 10, MPFR_RNDN); mpfr_init(r22827); mpfr_init(r22828); mpfr_init(r22829); mpfr_init(r22830); mpfr_init(r22831); mpfr_init(r22832); } double f_im(double x, double n) { mpfr_set_d(r22825, x, MPFR_RNDN); ; mpfr_add(r22827, r22825, r22826, MPFR_RNDN); mpfr_set_d(r22828, n, MPFR_RNDN); mpfr_div(r22829, r22826, r22828, MPFR_RNDN); mpfr_pow(r22830, r22827, r22829, MPFR_RNDN); mpfr_pow(r22831, r22825, r22829, MPFR_RNDN); mpfr_sub(r22832, r22830, r22831, MPFR_RNDN); return mpfr_get_d(r22832, MPFR_RNDN); } static mpfr_t r22833, r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842, r22843, r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22833); mpfr_init_set_str(r22834, "0.9699025539987266", 10, MPFR_RNDN); mpfr_init(r22835); mpfr_init_set_str(r22836, "1", 10, MPFR_RNDN); mpfr_init(r22837); mpfr_init(r22838); mpfr_init(r22839); mpfr_init(r22840); mpfr_init(r22841); mpfr_init(r22842); mpfr_init_set_str(r22843, "1/2", 10, MPFR_RNDN); mpfr_init(r22844); mpfr_init(r22845); mpfr_init(r22846); mpfr_init(r22847); mpfr_init(r22848); mpfr_init(r22849); mpfr_init(r22850); mpfr_init_set_str(r22851, "8.71168452440382e+29", 10, MPFR_RNDN); mpfr_init(r22852); mpfr_init_set_str(r22853, "3", 10, MPFR_RNDN); mpfr_init(r22854); mpfr_init(r22855); mpfr_init(r22856); mpfr_init(r22857); mpfr_init_set_str(r22858, "2.4826320178462265e+82", 10, MPFR_RNDN); mpfr_init(r22859); mpfr_init(r22860); mpfr_init(r22861); mpfr_init(r22862); mpfr_init(r22863); mpfr_init(r22864); mpfr_init(r22865); mpfr_init(r22866); mpfr_init(r22867); mpfr_init(r22868); mpfr_init_set_str(r22869, "2.0435857913622164e+146", 10, MPFR_RNDN); mpfr_init(r22870); mpfr_init_set_str(r22871, "1.67392202833612e+192", 10, MPFR_RNDN); mpfr_init(r22872); mpfr_init(r22873); mpfr_init(r22874); mpfr_init(r22875); mpfr_init(r22876); mpfr_init(r22877); mpfr_init(r22878); mpfr_init(r22879); mpfr_init(r22880); mpfr_init(r22881); mpfr_init(r22882); mpfr_init(r22883); mpfr_init(r22884); mpfr_init(r22885); mpfr_init(r22886); mpfr_init(r22887); mpfr_init(r22888); mpfr_init(r22889); mpfr_init(r22890); } double f_fm(double x, double n) { mpfr_set_d(r22833, x, MPFR_RNDN); ; mpfr_set_si(r22835, mpfr_cmp(r22833, r22834) <= 0, MPFR_RNDN); ; mpfr_add(r22837, r22836, r22833, MPFR_RNDN); mpfr_set_d(r22838, n, MPFR_RNDN); mpfr_div(r22839, r22836, r22838, MPFR_RNDN); mpfr_pow(r22840, r22837, r22839, MPFR_RNDN); mpfr_sub(r22841, r22840, r22836, MPFR_RNDN); mpfr_log(r22842, r22833, MPFR_RNDN); ; mpfr_div(r22844, r22843, r22838, MPFR_RNDN); mpfr_mul(r22845, r22842, r22844, MPFR_RNDN); mpfr_div(r22846, r22838, r22842, MPFR_RNDN); mpfr_div(r22847, r22845, r22846, MPFR_RNDN); mpfr_sub(r22848, r22841, r22847, MPFR_RNDN); mpfr_div(r22849, r22842, r22838, MPFR_RNDN); mpfr_sub(r22850, r22848, r22849, MPFR_RNDN); ; mpfr_set_si(r22852, mpfr_cmp(r22833, r22851) <= 0, MPFR_RNDN); ; mpfr_pow(r22854, r22840, r22853, MPFR_RNDN); mpfr_cbrt(r22855, r22854, MPFR_RNDN); mpfr_pow(r22856, r22833, r22839, MPFR_RNDN); mpfr_sub(r22857, r22855, r22856, MPFR_RNDN); ; mpfr_set_si(r22859, mpfr_cmp(r22833, r22858) <= 0, MPFR_RNDN); mpfr_div(r22860, r22842, r22833, MPFR_RNDN); mpfr_mul(r22861, r22838, r22838, MPFR_RNDN); mpfr_div(r22862, r22860, r22861, MPFR_RNDN); mpfr_mul(r22863, r22833, r22838, MPFR_RNDN); mpfr_div(r22864, r22836, r22863, MPFR_RNDN); mpfr_mul(r22865, r22833, r22833, MPFR_RNDN); mpfr_div(r22866, r22844, r22865, MPFR_RNDN); mpfr_sub(r22867, r22864, r22866, MPFR_RNDN); mpfr_add(r22868, r22862, r22867, MPFR_RNDN); ; mpfr_set_si(r22870, mpfr_cmp(r22833, r22869) <= 0, MPFR_RNDN); ; mpfr_set_si(r22872, mpfr_cmp(r22833, r22871) <= 0, MPFR_RNDN); mpfr_div(r22873, r22839, r22833, MPFR_RNDN); mpfr_sub(r22874, r22873, r22866, MPFR_RNDN); mpfr_mul(r22875, r22838, r22833, MPFR_RNDN); mpfr_mul(r22876, r22875, r22838, MPFR_RNDN); mpfr_div(r22877, r22842, r22876, MPFR_RNDN); mpfr_add(r22878, r22874, r22877, MPFR_RNDN); mpfr_sub(r22879, r22840, r22856, MPFR_RNDN); mpfr_exp(r22880, r22879, MPFR_RNDN); mpfr_cbrt(r22881, r22880, MPFR_RNDN); mpfr_mul(r22882, r22881, r22881, MPFR_RNDN); mpfr_log(r22883, r22882, MPFR_RNDN); mpfr_log(r22884, r22881, MPFR_RNDN); mpfr_add(r22885, r22883, r22884, MPFR_RNDN); if (mpfr_get_si(r22872, MPFR_RNDN)) { mpfr_set(r22886, r22878, MPFR_RNDN); } else { mpfr_set(r22886, r22885, MPFR_RNDN); }; if (mpfr_get_si(r22870, MPFR_RNDN)) { mpfr_set(r22887, r22857, MPFR_RNDN); } else { mpfr_set(r22887, r22886, MPFR_RNDN); }; if (mpfr_get_si(r22859, MPFR_RNDN)) { mpfr_set(r22888, r22868, MPFR_RNDN); } else { mpfr_set(r22888, r22887, MPFR_RNDN); }; if (mpfr_get_si(r22852, MPFR_RNDN)) { mpfr_set(r22889, r22857, MPFR_RNDN); } else { mpfr_set(r22889, r22888, MPFR_RNDN); }; if (mpfr_get_si(r22835, MPFR_RNDN)) { mpfr_set(r22890, r22850, MPFR_RNDN); } else { mpfr_set(r22890, r22889, MPFR_RNDN); }; return mpfr_get_d(r22890, MPFR_RNDN); } static mpfr_t r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22891); mpfr_init_set_str(r22892, "0.9699025539987266", 10, MPFR_RNDN); mpfr_init(r22893); mpfr_init_set_str(r22894, "1", 10, MPFR_RNDN); mpfr_init(r22895); mpfr_init(r22896); mpfr_init(r22897); mpfr_init(r22898); mpfr_init(r22899); mpfr_init(r22900); mpfr_init_set_str(r22901, "1/2", 10, MPFR_RNDN); mpfr_init(r22902); mpfr_init(r22903); mpfr_init(r22904); mpfr_init(r22905); mpfr_init(r22906); mpfr_init(r22907); mpfr_init(r22908); mpfr_init_set_str(r22909, "8.71168452440382e+29", 10, MPFR_RNDN); mpfr_init(r22910); mpfr_init_set_str(r22911, "3", 10, MPFR_RNDN); mpfr_init(r22912); mpfr_init(r22913); mpfr_init(r22914); mpfr_init(r22915); mpfr_init_set_str(r22916, "2.4826320178462265e+82", 10, MPFR_RNDN); mpfr_init(r22917); mpfr_init(r22918); mpfr_init(r22919); mpfr_init(r22920); mpfr_init(r22921); mpfr_init(r22922); mpfr_init(r22923); mpfr_init(r22924); mpfr_init(r22925); mpfr_init(r22926); mpfr_init_set_str(r22927, "2.0435857913622164e+146", 10, MPFR_RNDN); mpfr_init(r22928); mpfr_init_set_str(r22929, "1.67392202833612e+192", 10, MPFR_RNDN); mpfr_init(r22930); mpfr_init(r22931); mpfr_init(r22932); mpfr_init(r22933); mpfr_init(r22934); mpfr_init(r22935); mpfr_init(r22936); mpfr_init(r22937); mpfr_init(r22938); mpfr_init(r22939); mpfr_init(r22940); mpfr_init(r22941); mpfr_init(r22942); mpfr_init(r22943); mpfr_init(r22944); mpfr_init(r22945); mpfr_init(r22946); mpfr_init(r22947); mpfr_init(r22948); } double f_dm(double x, double n) { mpfr_set_d(r22891, x, MPFR_RNDN); ; mpfr_set_si(r22893, mpfr_cmp(r22891, r22892) <= 0, MPFR_RNDN); ; mpfr_add(r22895, r22894, r22891, MPFR_RNDN); mpfr_set_d(r22896, n, MPFR_RNDN); mpfr_div(r22897, r22894, r22896, MPFR_RNDN); mpfr_pow(r22898, r22895, r22897, MPFR_RNDN); mpfr_sub(r22899, r22898, r22894, MPFR_RNDN); mpfr_log(r22900, r22891, MPFR_RNDN); ; mpfr_div(r22902, r22901, r22896, MPFR_RNDN); mpfr_mul(r22903, r22900, r22902, MPFR_RNDN); mpfr_div(r22904, r22896, r22900, MPFR_RNDN); mpfr_div(r22905, r22903, r22904, MPFR_RNDN); mpfr_sub(r22906, r22899, r22905, MPFR_RNDN); mpfr_div(r22907, r22900, r22896, MPFR_RNDN); mpfr_sub(r22908, r22906, r22907, MPFR_RNDN); ; mpfr_set_si(r22910, mpfr_cmp(r22891, r22909) <= 0, MPFR_RNDN); ; mpfr_pow(r22912, r22898, r22911, MPFR_RNDN); mpfr_cbrt(r22913, r22912, MPFR_RNDN); mpfr_pow(r22914, r22891, r22897, MPFR_RNDN); mpfr_sub(r22915, r22913, r22914, MPFR_RNDN); ; mpfr_set_si(r22917, mpfr_cmp(r22891, r22916) <= 0, MPFR_RNDN); mpfr_div(r22918, r22900, r22891, MPFR_RNDN); mpfr_mul(r22919, r22896, r22896, MPFR_RNDN); mpfr_div(r22920, r22918, r22919, MPFR_RNDN); mpfr_mul(r22921, r22891, r22896, MPFR_RNDN); mpfr_div(r22922, r22894, r22921, MPFR_RNDN); mpfr_mul(r22923, r22891, r22891, MPFR_RNDN); mpfr_div(r22924, r22902, r22923, MPFR_RNDN); mpfr_sub(r22925, r22922, r22924, MPFR_RNDN); mpfr_add(r22926, r22920, r22925, MPFR_RNDN); ; mpfr_set_si(r22928, mpfr_cmp(r22891, r22927) <= 0, MPFR_RNDN); ; mpfr_set_si(r22930, mpfr_cmp(r22891, r22929) <= 0, MPFR_RNDN); mpfr_div(r22931, r22897, r22891, MPFR_RNDN); mpfr_sub(r22932, r22931, r22924, MPFR_RNDN); mpfr_mul(r22933, r22896, r22891, MPFR_RNDN); mpfr_mul(r22934, r22933, r22896, MPFR_RNDN); mpfr_div(r22935, r22900, r22934, MPFR_RNDN); mpfr_add(r22936, r22932, r22935, MPFR_RNDN); mpfr_sub(r22937, r22898, r22914, MPFR_RNDN); mpfr_exp(r22938, r22937, MPFR_RNDN); mpfr_cbrt(r22939, r22938, MPFR_RNDN); mpfr_mul(r22940, r22939, r22939, MPFR_RNDN); mpfr_log(r22941, r22940, MPFR_RNDN); mpfr_log(r22942, r22939, MPFR_RNDN); mpfr_add(r22943, r22941, r22942, MPFR_RNDN); if (mpfr_get_si(r22930, MPFR_RNDN)) { mpfr_set(r22944, r22936, MPFR_RNDN); } else { mpfr_set(r22944, r22943, MPFR_RNDN); }; if (mpfr_get_si(r22928, MPFR_RNDN)) { mpfr_set(r22945, r22915, MPFR_RNDN); } else { mpfr_set(r22945, r22944, MPFR_RNDN); }; if (mpfr_get_si(r22917, MPFR_RNDN)) { mpfr_set(r22946, r22926, MPFR_RNDN); } else { mpfr_set(r22946, r22945, MPFR_RNDN); }; if (mpfr_get_si(r22910, MPFR_RNDN)) { mpfr_set(r22947, r22915, MPFR_RNDN); } else { mpfr_set(r22947, r22946, MPFR_RNDN); }; if (mpfr_get_si(r22893, MPFR_RNDN)) { mpfr_set(r22948, r22908, MPFR_RNDN); } else { mpfr_set(r22948, r22947, MPFR_RNDN); }; return mpfr_get_d(r22948, MPFR_RNDN); }