#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22717 = x; float r22718 = 1; float r22719 = r22717 + r22718; float r22720 = n; float r22721 = r22718 / r22720; float r22722 = pow(r22719, r22721); float r22723 = pow(r22717, r22721); float r22724 = r22722 - r22723; return r22724; } double f_id(double x, double n) { double r22725 = x; double r22726 = 1; double r22727 = r22725 + r22726; double r22728 = n; double r22729 = r22726 / r22728; double r22730 = pow(r22727, r22729); double r22731 = pow(r22725, r22729); double r22732 = r22730 - r22731; return r22732; } double f_of(float x, float n) { float r22733 = x; float r22734 = log1p(r22733); float r22735 = n; float r22736 = r22734 / r22735; float r22737 = expm1(r22736); float r22738 = 1/2; float r22739 = r22738 / r22735; float r22740 = r22739 / r22735; float r22741 = log(r22733); float r22742 = r22741 * r22741; float r22743 = r22741 / r22735; float r22744 = fma(r22740, r22742, r22743); float r22745 = r22737 - r22744; float r22746 = cbrt(r22745); float r22747 = -40.36283672812935; bool r22748 = r22746 <= r22747; float r22749 = cbrt(r22736); float r22750 = r22749 * r22749; float r22751 = exp(r22750); float r22752 = pow(r22751, r22749); float r22753 = 1; float r22754 = r22753 / r22735; float r22755 = pow(r22733, r22754); float r22756 = r22752 - r22755; float r22757 = -6.274394124656314e-102; bool r22758 = r22746 <= r22757; float r22759 = 0.0; bool r22760 = r22746 <= r22759; float r22761 = r22735 * r22735; float r22762 = r22741 / r22761; float r22763 = r22762 / r22733; float r22764 = r22733 * r22733; float r22765 = r22739 / r22764; float r22766 = r22733 * r22735; float r22767 = r22753 / r22766; float r22768 = r22765 - r22767; float r22769 = r22763 - r22768; float r22770 = r22760 ? r22769 : r22745; float r22771 = r22758 ? r22745 : r22770; float r22772 = r22748 ? r22756 : r22771; return r22772; } double f_od(double x, double n) { double r22773 = x; double r22774 = log1p(r22773); double r22775 = n; double r22776 = r22774 / r22775; double r22777 = expm1(r22776); double r22778 = 1/2; double r22779 = r22778 / r22775; double r22780 = r22779 / r22775; double r22781 = log(r22773); double r22782 = r22781 * r22781; double r22783 = r22781 / r22775; double r22784 = fma(r22780, r22782, r22783); double r22785 = r22777 - r22784; double r22786 = cbrt(r22785); double r22787 = -40.36283672812935; bool r22788 = r22786 <= r22787; double r22789 = cbrt(r22776); double r22790 = r22789 * r22789; double r22791 = exp(r22790); double r22792 = pow(r22791, r22789); double r22793 = 1; double r22794 = r22793 / r22775; double r22795 = pow(r22773, r22794); double r22796 = r22792 - r22795; double r22797 = -6.274394124656314e-102; bool r22798 = r22786 <= r22797; double r22799 = 0.0; bool r22800 = r22786 <= r22799; double r22801 = r22775 * r22775; double r22802 = r22781 / r22801; double r22803 = r22802 / r22773; double r22804 = r22773 * r22773; double r22805 = r22779 / r22804; double r22806 = r22773 * r22775; double r22807 = r22793 / r22806; double r22808 = r22805 - r22807; double r22809 = r22803 - r22808; double r22810 = r22800 ? r22809 : r22785; double r22811 = r22798 ? r22785 : r22810; double r22812 = r22788 ? r22796 : r22811; return r22812; } 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 r22813, r22814, r22815, r22816, r22817, r22818, r22819, r22820; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22813); mpfr_init_set_str(r22814, "1", 10, MPFR_RNDN); mpfr_init(r22815); mpfr_init(r22816); mpfr_init(r22817); mpfr_init(r22818); mpfr_init(r22819); mpfr_init(r22820); } double f_im(double x, double n) { mpfr_set_d(r22813, x, MPFR_RNDN); ; mpfr_add(r22815, r22813, r22814, MPFR_RNDN); mpfr_set_d(r22816, n, MPFR_RNDN); mpfr_div(r22817, r22814, r22816, MPFR_RNDN); mpfr_pow(r22818, r22815, r22817, MPFR_RNDN); mpfr_pow(r22819, r22813, r22817, MPFR_RNDN); mpfr_sub(r22820, r22818, r22819, MPFR_RNDN); return mpfr_get_d(r22820, MPFR_RNDN); } static mpfr_t r22821, r22822, r22823, r22824, r22825, r22826, r22827, r22828, r22829, r22830, r22831, r22832, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22821); mpfr_init(r22822); mpfr_init(r22823); mpfr_init(r22824); mpfr_init(r22825); mpfr_init_set_str(r22826, "1/2", 10, MPFR_RNDN); mpfr_init(r22827); mpfr_init(r22828); mpfr_init(r22829); mpfr_init(r22830); mpfr_init(r22831); mpfr_init(r22832); mpfr_init(r22833); mpfr_init(r22834); mpfr_init_set_str(r22835, "-40.36283672812935", 10, MPFR_RNDN); mpfr_init(r22836); mpfr_init(r22837); mpfr_init(r22838); mpfr_init(r22839); mpfr_init(r22840); mpfr_init_set_str(r22841, "1", 10, MPFR_RNDN); mpfr_init(r22842); mpfr_init(r22843); mpfr_init(r22844); mpfr_init_set_str(r22845, "-6.274394124656314e-102", 10, MPFR_RNDN); mpfr_init(r22846); mpfr_init_set_str(r22847, "0.0", 10, MPFR_RNDN); mpfr_init(r22848); mpfr_init(r22849); mpfr_init(r22850); mpfr_init(r22851); mpfr_init(r22852); mpfr_init(r22853); mpfr_init(r22854); mpfr_init(r22855); mpfr_init(r22856); mpfr_init(r22857); mpfr_init(r22858); mpfr_init(r22859); mpfr_init(r22860); } double f_fm(double x, double n) { mpfr_set_d(r22821, x, MPFR_RNDN); mpfr_log1p(r22822, r22821, MPFR_RNDN); mpfr_set_d(r22823, n, MPFR_RNDN); mpfr_div(r22824, r22822, r22823, MPFR_RNDN); mpfr_expm1(r22825, r22824, MPFR_RNDN); ; mpfr_div(r22827, r22826, r22823, MPFR_RNDN); mpfr_div(r22828, r22827, r22823, MPFR_RNDN); mpfr_log(r22829, r22821, MPFR_RNDN); mpfr_mul(r22830, r22829, r22829, MPFR_RNDN); mpfr_div(r22831, r22829, r22823, MPFR_RNDN); mpfr_fma(r22832, r22828, r22830, r22831, MPFR_RNDN); mpfr_sub(r22833, r22825, r22832, MPFR_RNDN); mpfr_cbrt(r22834, r22833, MPFR_RNDN); ; mpfr_set_si(r22836, mpfr_cmp(r22834, r22835) <= 0, MPFR_RNDN); mpfr_cbrt(r22837, r22824, MPFR_RNDN); mpfr_mul(r22838, r22837, r22837, MPFR_RNDN); mpfr_exp(r22839, r22838, MPFR_RNDN); mpfr_pow(r22840, r22839, r22837, MPFR_RNDN); ; mpfr_div(r22842, r22841, r22823, MPFR_RNDN); mpfr_pow(r22843, r22821, r22842, MPFR_RNDN); mpfr_sub(r22844, r22840, r22843, MPFR_RNDN); ; mpfr_set_si(r22846, mpfr_cmp(r22834, r22845) <= 0, MPFR_RNDN); ; mpfr_set_si(r22848, mpfr_cmp(r22834, r22847) <= 0, MPFR_RNDN); mpfr_mul(r22849, r22823, r22823, MPFR_RNDN); mpfr_div(r22850, r22829, r22849, MPFR_RNDN); mpfr_div(r22851, r22850, r22821, MPFR_RNDN); mpfr_mul(r22852, r22821, r22821, MPFR_RNDN); mpfr_div(r22853, r22827, r22852, MPFR_RNDN); mpfr_mul(r22854, r22821, r22823, MPFR_RNDN); mpfr_div(r22855, r22841, r22854, MPFR_RNDN); mpfr_sub(r22856, r22853, r22855, MPFR_RNDN); mpfr_sub(r22857, r22851, r22856, MPFR_RNDN); if (mpfr_get_si(r22848, MPFR_RNDN)) { mpfr_set(r22858, r22857, MPFR_RNDN); } else { mpfr_set(r22858, r22833, MPFR_RNDN); }; if (mpfr_get_si(r22846, MPFR_RNDN)) { mpfr_set(r22859, r22833, MPFR_RNDN); } else { mpfr_set(r22859, r22858, MPFR_RNDN); }; if (mpfr_get_si(r22836, MPFR_RNDN)) { mpfr_set(r22860, r22844, MPFR_RNDN); } else { mpfr_set(r22860, r22859, MPFR_RNDN); }; return mpfr_get_d(r22860, MPFR_RNDN); } static mpfr_t 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, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22861); mpfr_init(r22862); mpfr_init(r22863); mpfr_init(r22864); mpfr_init(r22865); mpfr_init_set_str(r22866, "1/2", 10, MPFR_RNDN); mpfr_init(r22867); mpfr_init(r22868); mpfr_init(r22869); mpfr_init(r22870); mpfr_init(r22871); mpfr_init(r22872); mpfr_init(r22873); mpfr_init(r22874); mpfr_init_set_str(r22875, "-40.36283672812935", 10, MPFR_RNDN); mpfr_init(r22876); mpfr_init(r22877); mpfr_init(r22878); mpfr_init(r22879); mpfr_init(r22880); mpfr_init_set_str(r22881, "1", 10, MPFR_RNDN); mpfr_init(r22882); mpfr_init(r22883); mpfr_init(r22884); mpfr_init_set_str(r22885, "-6.274394124656314e-102", 10, MPFR_RNDN); mpfr_init(r22886); mpfr_init_set_str(r22887, "0.0", 10, MPFR_RNDN); mpfr_init(r22888); mpfr_init(r22889); mpfr_init(r22890); mpfr_init(r22891); mpfr_init(r22892); mpfr_init(r22893); mpfr_init(r22894); mpfr_init(r22895); mpfr_init(r22896); mpfr_init(r22897); mpfr_init(r22898); mpfr_init(r22899); mpfr_init(r22900); } double f_dm(double x, double n) { mpfr_set_d(r22861, x, MPFR_RNDN); mpfr_log1p(r22862, r22861, MPFR_RNDN); mpfr_set_d(r22863, n, MPFR_RNDN); mpfr_div(r22864, r22862, r22863, MPFR_RNDN); mpfr_expm1(r22865, r22864, MPFR_RNDN); ; mpfr_div(r22867, r22866, r22863, MPFR_RNDN); mpfr_div(r22868, r22867, r22863, MPFR_RNDN); mpfr_log(r22869, r22861, MPFR_RNDN); mpfr_mul(r22870, r22869, r22869, MPFR_RNDN); mpfr_div(r22871, r22869, r22863, MPFR_RNDN); mpfr_fma(r22872, r22868, r22870, r22871, MPFR_RNDN); mpfr_sub(r22873, r22865, r22872, MPFR_RNDN); mpfr_cbrt(r22874, r22873, MPFR_RNDN); ; mpfr_set_si(r22876, mpfr_cmp(r22874, r22875) <= 0, MPFR_RNDN); mpfr_cbrt(r22877, r22864, MPFR_RNDN); mpfr_mul(r22878, r22877, r22877, MPFR_RNDN); mpfr_exp(r22879, r22878, MPFR_RNDN); mpfr_pow(r22880, r22879, r22877, MPFR_RNDN); ; mpfr_div(r22882, r22881, r22863, MPFR_RNDN); mpfr_pow(r22883, r22861, r22882, MPFR_RNDN); mpfr_sub(r22884, r22880, r22883, MPFR_RNDN); ; mpfr_set_si(r22886, mpfr_cmp(r22874, r22885) <= 0, MPFR_RNDN); ; mpfr_set_si(r22888, mpfr_cmp(r22874, r22887) <= 0, MPFR_RNDN); mpfr_mul(r22889, r22863, r22863, MPFR_RNDN); mpfr_div(r22890, r22869, r22889, MPFR_RNDN); mpfr_div(r22891, r22890, r22861, MPFR_RNDN); mpfr_mul(r22892, r22861, r22861, MPFR_RNDN); mpfr_div(r22893, r22867, r22892, MPFR_RNDN); mpfr_mul(r22894, r22861, r22863, MPFR_RNDN); mpfr_div(r22895, r22881, r22894, MPFR_RNDN); mpfr_sub(r22896, r22893, r22895, MPFR_RNDN); mpfr_sub(r22897, r22891, r22896, MPFR_RNDN); if (mpfr_get_si(r22888, MPFR_RNDN)) { mpfr_set(r22898, r22897, MPFR_RNDN); } else { mpfr_set(r22898, r22873, MPFR_RNDN); }; if (mpfr_get_si(r22886, MPFR_RNDN)) { mpfr_set(r22899, r22873, MPFR_RNDN); } else { mpfr_set(r22899, r22898, MPFR_RNDN); }; if (mpfr_get_si(r22876, MPFR_RNDN)) { mpfr_set(r22900, r22884, MPFR_RNDN); } else { mpfr_set(r22900, r22899, MPFR_RNDN); }; return mpfr_get_d(r22900, MPFR_RNDN); }