#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22786 = x; float r22787 = 1; float r22788 = r22786 + r22787; float r22789 = n; float r22790 = r22787 / r22789; float r22791 = pow(r22788, r22790); float r22792 = pow(r22786, r22790); float r22793 = r22791 - r22792; return r22793; } double f_id(double x, double n) { double r22794 = x; double r22795 = 1; double r22796 = r22794 + r22795; double r22797 = n; double r22798 = r22795 / r22797; double r22799 = pow(r22796, r22798); double r22800 = pow(r22794, r22798); double r22801 = r22799 - r22800; return r22801; } double f_of(float x, float n) { float r22802 = x; float r22803 = log1p(r22802); float r22804 = n; float r22805 = r22803 / r22804; float r22806 = expm1(r22805); float r22807 = 1/2; float r22808 = r22807 / r22804; float r22809 = r22808 / r22804; float r22810 = log(r22802); float r22811 = r22810 * r22810; float r22812 = r22810 / r22804; float r22813 = fma(r22809, r22811, r22812); float r22814 = r22806 - r22813; float r22815 = -1.3131059542928442e-06; bool r22816 = r22814 <= r22815; float r22817 = exp(r22805); float r22818 = 1; float r22819 = r22818 / r22804; float r22820 = pow(r22802, r22819); float r22821 = r22817 - r22820; float r22822 = -3.66618882442037e-286; bool r22823 = r22814 <= r22822; float r22824 = 8.570229409028184e-290; bool r22825 = r22814 <= r22824; float r22826 = r22804 * r22804; float r22827 = r22810 / r22826; float r22828 = r22827 / r22802; float r22829 = r22802 * r22802; float r22830 = r22808 / r22829; float r22831 = r22802 * r22804; float r22832 = r22818 / r22831; float r22833 = r22830 - r22832; float r22834 = r22828 - r22833; float r22835 = r22825 ? r22834 : r22814; float r22836 = r22823 ? r22814 : r22835; float r22837 = r22816 ? r22821 : r22836; return r22837; } double f_od(double x, double n) { double r22838 = x; double r22839 = log1p(r22838); double r22840 = n; double r22841 = r22839 / r22840; double r22842 = expm1(r22841); double r22843 = 1/2; double r22844 = r22843 / r22840; double r22845 = r22844 / r22840; double r22846 = log(r22838); double r22847 = r22846 * r22846; double r22848 = r22846 / r22840; double r22849 = fma(r22845, r22847, r22848); double r22850 = r22842 - r22849; double r22851 = -1.3131059542928442e-06; bool r22852 = r22850 <= r22851; double r22853 = exp(r22841); double r22854 = 1; double r22855 = r22854 / r22840; double r22856 = pow(r22838, r22855); double r22857 = r22853 - r22856; double r22858 = -3.66618882442037e-286; bool r22859 = r22850 <= r22858; double r22860 = 8.570229409028184e-290; bool r22861 = r22850 <= r22860; double r22862 = r22840 * r22840; double r22863 = r22846 / r22862; double r22864 = r22863 / r22838; double r22865 = r22838 * r22838; double r22866 = r22844 / r22865; double r22867 = r22838 * r22840; double r22868 = r22854 / r22867; double r22869 = r22866 - r22868; double r22870 = r22864 - r22869; double r22871 = r22861 ? r22870 : r22850; double r22872 = r22859 ? r22850 : r22871; double r22873 = r22852 ? r22857 : r22872; return r22873; } 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 r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22874); mpfr_init_set_str(r22875, "1", 10, MPFR_RNDN); mpfr_init(r22876); mpfr_init(r22877); mpfr_init(r22878); mpfr_init(r22879); mpfr_init(r22880); mpfr_init(r22881); } double f_im(double x, double n) { mpfr_set_d(r22874, x, MPFR_RNDN); ; mpfr_add(r22876, r22874, r22875, MPFR_RNDN); mpfr_set_d(r22877, n, MPFR_RNDN); mpfr_div(r22878, r22875, r22877, MPFR_RNDN); mpfr_pow(r22879, r22876, r22878, MPFR_RNDN); mpfr_pow(r22880, r22874, r22878, MPFR_RNDN); mpfr_sub(r22881, r22879, r22880, MPFR_RNDN); return mpfr_get_d(r22881, MPFR_RNDN); } static mpfr_t r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22882); mpfr_init(r22883); mpfr_init(r22884); mpfr_init(r22885); mpfr_init(r22886); mpfr_init_set_str(r22887, "1/2", 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_set_str(r22895, "-1.3131059542928442e-06", 10, MPFR_RNDN); mpfr_init(r22896); mpfr_init(r22897); mpfr_init_set_str(r22898, "1", 10, MPFR_RNDN); mpfr_init(r22899); mpfr_init(r22900); mpfr_init(r22901); mpfr_init_set_str(r22902, "-3.66618882442037e-286", 10, MPFR_RNDN); mpfr_init(r22903); mpfr_init_set_str(r22904, "8.570229409028184e-290", 10, MPFR_RNDN); mpfr_init(r22905); mpfr_init(r22906); mpfr_init(r22907); mpfr_init(r22908); mpfr_init(r22909); mpfr_init(r22910); mpfr_init(r22911); mpfr_init(r22912); mpfr_init(r22913); mpfr_init(r22914); mpfr_init(r22915); mpfr_init(r22916); mpfr_init(r22917); } double f_fm(double x, double n) { mpfr_set_d(r22882, x, MPFR_RNDN); mpfr_log1p(r22883, r22882, MPFR_RNDN); mpfr_set_d(r22884, n, MPFR_RNDN); mpfr_div(r22885, r22883, r22884, MPFR_RNDN); mpfr_expm1(r22886, r22885, MPFR_RNDN); ; mpfr_div(r22888, r22887, r22884, MPFR_RNDN); mpfr_div(r22889, r22888, r22884, MPFR_RNDN); mpfr_log(r22890, r22882, MPFR_RNDN); mpfr_mul(r22891, r22890, r22890, MPFR_RNDN); mpfr_div(r22892, r22890, r22884, MPFR_RNDN); mpfr_fma(r22893, r22889, r22891, r22892, MPFR_RNDN); mpfr_sub(r22894, r22886, r22893, MPFR_RNDN); ; mpfr_set_si(r22896, mpfr_cmp(r22894, r22895) <= 0, MPFR_RNDN); mpfr_exp(r22897, r22885, MPFR_RNDN); ; mpfr_div(r22899, r22898, r22884, MPFR_RNDN); mpfr_pow(r22900, r22882, r22899, MPFR_RNDN); mpfr_sub(r22901, r22897, r22900, MPFR_RNDN); ; mpfr_set_si(r22903, mpfr_cmp(r22894, r22902) <= 0, MPFR_RNDN); ; mpfr_set_si(r22905, mpfr_cmp(r22894, r22904) <= 0, MPFR_RNDN); mpfr_mul(r22906, r22884, r22884, MPFR_RNDN); mpfr_div(r22907, r22890, r22906, MPFR_RNDN); mpfr_div(r22908, r22907, r22882, MPFR_RNDN); mpfr_mul(r22909, r22882, r22882, MPFR_RNDN); mpfr_div(r22910, r22888, r22909, MPFR_RNDN); mpfr_mul(r22911, r22882, r22884, MPFR_RNDN); mpfr_div(r22912, r22898, r22911, MPFR_RNDN); mpfr_sub(r22913, r22910, r22912, MPFR_RNDN); mpfr_sub(r22914, r22908, r22913, MPFR_RNDN); if (mpfr_get_si(r22905, MPFR_RNDN)) { mpfr_set(r22915, r22914, MPFR_RNDN); } else { mpfr_set(r22915, r22894, MPFR_RNDN); }; if (mpfr_get_si(r22903, MPFR_RNDN)) { mpfr_set(r22916, r22894, MPFR_RNDN); } else { mpfr_set(r22916, r22915, MPFR_RNDN); }; if (mpfr_get_si(r22896, MPFR_RNDN)) { mpfr_set(r22917, r22901, MPFR_RNDN); } else { mpfr_set(r22917, r22916, MPFR_RNDN); }; return mpfr_get_d(r22917, MPFR_RNDN); } static mpfr_t 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, r22949, r22950, r22951, r22952, r22953; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22918); mpfr_init(r22919); mpfr_init(r22920); mpfr_init(r22921); mpfr_init(r22922); mpfr_init_set_str(r22923, "1/2", 10, MPFR_RNDN); mpfr_init(r22924); mpfr_init(r22925); mpfr_init(r22926); mpfr_init(r22927); mpfr_init(r22928); mpfr_init(r22929); mpfr_init(r22930); mpfr_init_set_str(r22931, "-1.3131059542928442e-06", 10, MPFR_RNDN); mpfr_init(r22932); mpfr_init(r22933); mpfr_init_set_str(r22934, "1", 10, MPFR_RNDN); mpfr_init(r22935); mpfr_init(r22936); mpfr_init(r22937); mpfr_init_set_str(r22938, "-3.66618882442037e-286", 10, MPFR_RNDN); mpfr_init(r22939); mpfr_init_set_str(r22940, "8.570229409028184e-290", 10, MPFR_RNDN); mpfr_init(r22941); mpfr_init(r22942); mpfr_init(r22943); mpfr_init(r22944); mpfr_init(r22945); mpfr_init(r22946); mpfr_init(r22947); mpfr_init(r22948); mpfr_init(r22949); mpfr_init(r22950); mpfr_init(r22951); mpfr_init(r22952); mpfr_init(r22953); } double f_dm(double x, double n) { mpfr_set_d(r22918, x, MPFR_RNDN); mpfr_log1p(r22919, r22918, MPFR_RNDN); mpfr_set_d(r22920, n, MPFR_RNDN); mpfr_div(r22921, r22919, r22920, MPFR_RNDN); mpfr_expm1(r22922, r22921, MPFR_RNDN); ; mpfr_div(r22924, r22923, r22920, MPFR_RNDN); mpfr_div(r22925, r22924, r22920, MPFR_RNDN); mpfr_log(r22926, r22918, MPFR_RNDN); mpfr_mul(r22927, r22926, r22926, MPFR_RNDN); mpfr_div(r22928, r22926, r22920, MPFR_RNDN); mpfr_fma(r22929, r22925, r22927, r22928, MPFR_RNDN); mpfr_sub(r22930, r22922, r22929, MPFR_RNDN); ; mpfr_set_si(r22932, mpfr_cmp(r22930, r22931) <= 0, MPFR_RNDN); mpfr_exp(r22933, r22921, MPFR_RNDN); ; mpfr_div(r22935, r22934, r22920, MPFR_RNDN); mpfr_pow(r22936, r22918, r22935, MPFR_RNDN); mpfr_sub(r22937, r22933, r22936, MPFR_RNDN); ; mpfr_set_si(r22939, mpfr_cmp(r22930, r22938) <= 0, MPFR_RNDN); ; mpfr_set_si(r22941, mpfr_cmp(r22930, r22940) <= 0, MPFR_RNDN); mpfr_mul(r22942, r22920, r22920, MPFR_RNDN); mpfr_div(r22943, r22926, r22942, MPFR_RNDN); mpfr_div(r22944, r22943, r22918, MPFR_RNDN); mpfr_mul(r22945, r22918, r22918, MPFR_RNDN); mpfr_div(r22946, r22924, r22945, MPFR_RNDN); mpfr_mul(r22947, r22918, r22920, MPFR_RNDN); mpfr_div(r22948, r22934, r22947, MPFR_RNDN); mpfr_sub(r22949, r22946, r22948, MPFR_RNDN); mpfr_sub(r22950, r22944, r22949, MPFR_RNDN); if (mpfr_get_si(r22941, MPFR_RNDN)) { mpfr_set(r22951, r22950, MPFR_RNDN); } else { mpfr_set(r22951, r22930, MPFR_RNDN); }; if (mpfr_get_si(r22939, MPFR_RNDN)) { mpfr_set(r22952, r22930, MPFR_RNDN); } else { mpfr_set(r22952, r22951, MPFR_RNDN); }; if (mpfr_get_si(r22932, MPFR_RNDN)) { mpfr_set(r22953, r22937, MPFR_RNDN); } else { mpfr_set(r22953, r22952, MPFR_RNDN); }; return mpfr_get_d(r22953, MPFR_RNDN); }