#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22766 = x; float r22767 = 1; float r22768 = r22766 + r22767; float r22769 = n; float r22770 = r22767 / r22769; float r22771 = pow(r22768, r22770); float r22772 = pow(r22766, r22770); float r22773 = r22771 - r22772; return r22773; } double f_id(double x, double n) { double r22774 = x; double r22775 = 1; double r22776 = r22774 + r22775; double r22777 = n; double r22778 = r22775 / r22777; double r22779 = pow(r22776, r22778); double r22780 = pow(r22774, r22778); double r22781 = r22779 - r22780; return r22781; } double f_of(float x, float n) { float r22782 = x; float r22783 = log1p(r22782); float r22784 = n; float r22785 = r22783 / r22784; float r22786 = expm1(r22785); float r22787 = 1/2; float r22788 = r22787 / r22784; float r22789 = r22788 / r22784; float r22790 = log(r22782); float r22791 = r22790 * r22790; float r22792 = r22790 / r22784; float r22793 = fma(r22789, r22791, r22792); float r22794 = r22786 - r22793; float r22795 = -3.1639042808847714e-05; bool r22796 = r22794 <= r22795; float r22797 = exp(r22785); float r22798 = 1; float r22799 = r22798 / r22784; float r22800 = pow(r22782, r22799); float r22801 = r22797 - r22800; float r22802 = -2.1698830021056458e-275; bool r22803 = r22794 <= r22802; float r22804 = r22784 / r22790; float r22805 = r22798 / r22804; float r22806 = fma(r22789, r22791, r22805); float r22807 = r22786 - r22806; float r22808 = 2.5623442839751545e-285; bool r22809 = r22794 <= r22808; float r22810 = r22782 * r22784; float r22811 = r22798 / r22810; float r22812 = r22790 / r22782; float r22813 = r22784 * r22784; float r22814 = r22812 / r22813; float r22815 = r22787 / r22782; float r22816 = r22815 / r22810; float r22817 = r22814 - r22816; float r22818 = r22811 + r22817; float r22819 = r22809 ? r22818 : r22794; float r22820 = r22803 ? r22807 : r22819; float r22821 = r22796 ? r22801 : r22820; return r22821; } double f_od(double x, double n) { double r22822 = x; double r22823 = log1p(r22822); double r22824 = n; double r22825 = r22823 / r22824; double r22826 = expm1(r22825); double r22827 = 1/2; double r22828 = r22827 / r22824; double r22829 = r22828 / r22824; double r22830 = log(r22822); double r22831 = r22830 * r22830; double r22832 = r22830 / r22824; double r22833 = fma(r22829, r22831, r22832); double r22834 = r22826 - r22833; double r22835 = -3.1639042808847714e-05; bool r22836 = r22834 <= r22835; double r22837 = exp(r22825); double r22838 = 1; double r22839 = r22838 / r22824; double r22840 = pow(r22822, r22839); double r22841 = r22837 - r22840; double r22842 = -2.1698830021056458e-275; bool r22843 = r22834 <= r22842; double r22844 = r22824 / r22830; double r22845 = r22838 / r22844; double r22846 = fma(r22829, r22831, r22845); double r22847 = r22826 - r22846; double r22848 = 2.5623442839751545e-285; bool r22849 = r22834 <= r22848; double r22850 = r22822 * r22824; double r22851 = r22838 / r22850; double r22852 = r22830 / r22822; double r22853 = r22824 * r22824; double r22854 = r22852 / r22853; double r22855 = r22827 / r22822; double r22856 = r22855 / r22850; double r22857 = r22854 - r22856; double r22858 = r22851 + r22857; double r22859 = r22849 ? r22858 : r22834; double r22860 = r22843 ? r22847 : r22859; double r22861 = r22836 ? r22841 : r22860; return r22861; } 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 r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22862); mpfr_init_set_str(r22863, "1", 10, MPFR_RNDN); mpfr_init(r22864); mpfr_init(r22865); mpfr_init(r22866); mpfr_init(r22867); mpfr_init(r22868); mpfr_init(r22869); } double f_im(double x, double n) { mpfr_set_d(r22862, x, MPFR_RNDN); ; mpfr_add(r22864, r22862, r22863, MPFR_RNDN); mpfr_set_d(r22865, n, MPFR_RNDN); mpfr_div(r22866, r22863, r22865, MPFR_RNDN); mpfr_pow(r22867, r22864, r22866, MPFR_RNDN); mpfr_pow(r22868, r22862, r22866, MPFR_RNDN); mpfr_sub(r22869, r22867, r22868, MPFR_RNDN); return mpfr_get_d(r22869, MPFR_RNDN); } static mpfr_t 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, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22870); mpfr_init(r22871); mpfr_init(r22872); mpfr_init(r22873); mpfr_init(r22874); mpfr_init_set_str(r22875, "1/2", 10, MPFR_RNDN); mpfr_init(r22876); mpfr_init(r22877); mpfr_init(r22878); mpfr_init(r22879); mpfr_init(r22880); mpfr_init(r22881); mpfr_init(r22882); mpfr_init_set_str(r22883, "-3.1639042808847714e-05", 10, MPFR_RNDN); mpfr_init(r22884); mpfr_init(r22885); mpfr_init_set_str(r22886, "1", 10, MPFR_RNDN); mpfr_init(r22887); mpfr_init(r22888); mpfr_init(r22889); mpfr_init_set_str(r22890, "-2.1698830021056458e-275", 10, MPFR_RNDN); mpfr_init(r22891); mpfr_init(r22892); mpfr_init(r22893); mpfr_init(r22894); mpfr_init(r22895); mpfr_init_set_str(r22896, "2.5623442839751545e-285", 10, MPFR_RNDN); mpfr_init(r22897); mpfr_init(r22898); mpfr_init(r22899); mpfr_init(r22900); mpfr_init(r22901); mpfr_init(r22902); mpfr_init(r22903); mpfr_init(r22904); mpfr_init(r22905); mpfr_init(r22906); mpfr_init(r22907); mpfr_init(r22908); mpfr_init(r22909); } double f_fm(double x, double n) { mpfr_set_d(r22870, x, MPFR_RNDN); mpfr_log1p(r22871, r22870, MPFR_RNDN); mpfr_set_d(r22872, n, MPFR_RNDN); mpfr_div(r22873, r22871, r22872, MPFR_RNDN); mpfr_expm1(r22874, r22873, MPFR_RNDN); ; mpfr_div(r22876, r22875, r22872, MPFR_RNDN); mpfr_div(r22877, r22876, r22872, MPFR_RNDN); mpfr_log(r22878, r22870, MPFR_RNDN); mpfr_mul(r22879, r22878, r22878, MPFR_RNDN); mpfr_div(r22880, r22878, r22872, MPFR_RNDN); mpfr_fma(r22881, r22877, r22879, r22880, MPFR_RNDN); mpfr_sub(r22882, r22874, r22881, MPFR_RNDN); ; mpfr_set_si(r22884, mpfr_cmp(r22882, r22883) <= 0, MPFR_RNDN); mpfr_exp(r22885, r22873, MPFR_RNDN); ; mpfr_div(r22887, r22886, r22872, MPFR_RNDN); mpfr_pow(r22888, r22870, r22887, MPFR_RNDN); mpfr_sub(r22889, r22885, r22888, MPFR_RNDN); ; mpfr_set_si(r22891, mpfr_cmp(r22882, r22890) <= 0, MPFR_RNDN); mpfr_div(r22892, r22872, r22878, MPFR_RNDN); mpfr_div(r22893, r22886, r22892, MPFR_RNDN); mpfr_fma(r22894, r22877, r22879, r22893, MPFR_RNDN); mpfr_sub(r22895, r22874, r22894, MPFR_RNDN); ; mpfr_set_si(r22897, mpfr_cmp(r22882, r22896) <= 0, MPFR_RNDN); mpfr_mul(r22898, r22870, r22872, MPFR_RNDN); mpfr_div(r22899, r22886, r22898, MPFR_RNDN); mpfr_div(r22900, r22878, r22870, MPFR_RNDN); mpfr_mul(r22901, r22872, r22872, MPFR_RNDN); mpfr_div(r22902, r22900, r22901, MPFR_RNDN); mpfr_div(r22903, r22875, r22870, MPFR_RNDN); mpfr_div(r22904, r22903, r22898, MPFR_RNDN); mpfr_sub(r22905, r22902, r22904, MPFR_RNDN); mpfr_add(r22906, r22899, r22905, MPFR_RNDN); if (mpfr_get_si(r22897, MPFR_RNDN)) { mpfr_set(r22907, r22906, MPFR_RNDN); } else { mpfr_set(r22907, r22882, MPFR_RNDN); }; if (mpfr_get_si(r22891, MPFR_RNDN)) { mpfr_set(r22908, r22895, MPFR_RNDN); } else { mpfr_set(r22908, r22907, MPFR_RNDN); }; if (mpfr_get_si(r22884, MPFR_RNDN)) { mpfr_set(r22909, r22889, MPFR_RNDN); } else { mpfr_set(r22909, r22908, MPFR_RNDN); }; return mpfr_get_d(r22909, MPFR_RNDN); } static mpfr_t 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, r22949; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22910); mpfr_init(r22911); mpfr_init(r22912); mpfr_init(r22913); mpfr_init(r22914); mpfr_init_set_str(r22915, "1/2", 10, MPFR_RNDN); mpfr_init(r22916); mpfr_init(r22917); mpfr_init(r22918); mpfr_init(r22919); mpfr_init(r22920); mpfr_init(r22921); mpfr_init(r22922); mpfr_init_set_str(r22923, "-3.1639042808847714e-05", 10, MPFR_RNDN); mpfr_init(r22924); mpfr_init(r22925); mpfr_init_set_str(r22926, "1", 10, MPFR_RNDN); mpfr_init(r22927); mpfr_init(r22928); mpfr_init(r22929); mpfr_init_set_str(r22930, "-2.1698830021056458e-275", 10, MPFR_RNDN); mpfr_init(r22931); mpfr_init(r22932); mpfr_init(r22933); mpfr_init(r22934); mpfr_init(r22935); mpfr_init_set_str(r22936, "2.5623442839751545e-285", 10, MPFR_RNDN); 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); mpfr_init(r22949); } double f_dm(double x, double n) { mpfr_set_d(r22910, x, MPFR_RNDN); mpfr_log1p(r22911, r22910, MPFR_RNDN); mpfr_set_d(r22912, n, MPFR_RNDN); mpfr_div(r22913, r22911, r22912, MPFR_RNDN); mpfr_expm1(r22914, r22913, MPFR_RNDN); ; mpfr_div(r22916, r22915, r22912, MPFR_RNDN); mpfr_div(r22917, r22916, r22912, MPFR_RNDN); mpfr_log(r22918, r22910, MPFR_RNDN); mpfr_mul(r22919, r22918, r22918, MPFR_RNDN); mpfr_div(r22920, r22918, r22912, MPFR_RNDN); mpfr_fma(r22921, r22917, r22919, r22920, MPFR_RNDN); mpfr_sub(r22922, r22914, r22921, MPFR_RNDN); ; mpfr_set_si(r22924, mpfr_cmp(r22922, r22923) <= 0, MPFR_RNDN); mpfr_exp(r22925, r22913, MPFR_RNDN); ; mpfr_div(r22927, r22926, r22912, MPFR_RNDN); mpfr_pow(r22928, r22910, r22927, MPFR_RNDN); mpfr_sub(r22929, r22925, r22928, MPFR_RNDN); ; mpfr_set_si(r22931, mpfr_cmp(r22922, r22930) <= 0, MPFR_RNDN); mpfr_div(r22932, r22912, r22918, MPFR_RNDN); mpfr_div(r22933, r22926, r22932, MPFR_RNDN); mpfr_fma(r22934, r22917, r22919, r22933, MPFR_RNDN); mpfr_sub(r22935, r22914, r22934, MPFR_RNDN); ; mpfr_set_si(r22937, mpfr_cmp(r22922, r22936) <= 0, MPFR_RNDN); mpfr_mul(r22938, r22910, r22912, MPFR_RNDN); mpfr_div(r22939, r22926, r22938, MPFR_RNDN); mpfr_div(r22940, r22918, r22910, MPFR_RNDN); mpfr_mul(r22941, r22912, r22912, MPFR_RNDN); mpfr_div(r22942, r22940, r22941, MPFR_RNDN); mpfr_div(r22943, r22915, r22910, MPFR_RNDN); mpfr_div(r22944, r22943, r22938, MPFR_RNDN); mpfr_sub(r22945, r22942, r22944, MPFR_RNDN); mpfr_add(r22946, r22939, r22945, MPFR_RNDN); if (mpfr_get_si(r22937, MPFR_RNDN)) { mpfr_set(r22947, r22946, MPFR_RNDN); } else { mpfr_set(r22947, r22922, MPFR_RNDN); }; if (mpfr_get_si(r22931, MPFR_RNDN)) { mpfr_set(r22948, r22935, MPFR_RNDN); } else { mpfr_set(r22948, r22947, MPFR_RNDN); }; if (mpfr_get_si(r22924, MPFR_RNDN)) { mpfr_set(r22949, r22929, MPFR_RNDN); } else { mpfr_set(r22949, r22948, MPFR_RNDN); }; return mpfr_get_d(r22949, MPFR_RNDN); }