#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22734 = x; float r22735 = 1; float r22736 = r22734 + r22735; float r22737 = n; float r22738 = r22735 / r22737; float r22739 = pow(r22736, r22738); float r22740 = pow(r22734, r22738); float r22741 = r22739 - r22740; return r22741; } double f_id(double x, double n) { double r22742 = x; double r22743 = 1; double r22744 = r22742 + r22743; double r22745 = n; double r22746 = r22743 / r22745; double r22747 = pow(r22744, r22746); double r22748 = pow(r22742, r22746); double r22749 = r22747 - r22748; return r22749; } double f_of(float x, float n) { float r22750 = 1; float r22751 = x; float r22752 = r22750 + r22751; float r22753 = log(r22752); float r22754 = n; float r22755 = r22750 / r22754; float r22756 = r22753 * r22755; float r22757 = expm1(r22756); float r22758 = 1/2; float r22759 = r22754 * r22754; float r22760 = r22758 / r22759; float r22761 = log(r22751); float r22762 = r22761 * r22761; float r22763 = r22761 / r22754; float r22764 = fma(r22760, r22762, r22763); float r22765 = r22757 - r22764; float r22766 = -0.0009160170586057822; bool r22767 = r22765 <= r22766; float r22768 = pow(r22752, r22755); float r22769 = pow(r22751, r22755); float r22770 = r22768 - r22769; float r22771 = exp(r22770); float r22772 = log(r22771); float r22773 = -5.0299008192410476e-306; bool r22774 = r22765 <= r22773; float r22775 = cbrt(r22752); float r22776 = r22775 * r22775; float r22777 = log(r22776); float r22778 = log(r22775); float r22779 = r22777 + r22778; float r22780 = r22779 * r22755; float r22781 = expm1(r22780); float r22782 = r22781 - r22764; float r22783 = 4.829764118837382e-301; bool r22784 = r22765 <= r22783; float r22785 = r22761 / r22759; float r22786 = r22785 / r22751; float r22787 = r22758 / r22754; float r22788 = r22751 * r22751; float r22789 = r22787 / r22788; float r22790 = r22751 * r22754; float r22791 = r22750 / r22790; float r22792 = r22789 - r22791; float r22793 = r22786 - r22792; float r22794 = r22784 ? r22793 : r22765; float r22795 = r22774 ? r22782 : r22794; float r22796 = r22767 ? r22772 : r22795; return r22796; } double f_od(double x, double n) { double r22797 = 1; double r22798 = x; double r22799 = r22797 + r22798; double r22800 = log(r22799); double r22801 = n; double r22802 = r22797 / r22801; double r22803 = r22800 * r22802; double r22804 = expm1(r22803); double r22805 = 1/2; double r22806 = r22801 * r22801; double r22807 = r22805 / r22806; double r22808 = log(r22798); double r22809 = r22808 * r22808; double r22810 = r22808 / r22801; double r22811 = fma(r22807, r22809, r22810); double r22812 = r22804 - r22811; double r22813 = -0.0009160170586057822; bool r22814 = r22812 <= r22813; double r22815 = pow(r22799, r22802); double r22816 = pow(r22798, r22802); double r22817 = r22815 - r22816; double r22818 = exp(r22817); double r22819 = log(r22818); double r22820 = -5.0299008192410476e-306; bool r22821 = r22812 <= r22820; double r22822 = cbrt(r22799); double r22823 = r22822 * r22822; double r22824 = log(r22823); double r22825 = log(r22822); double r22826 = r22824 + r22825; double r22827 = r22826 * r22802; double r22828 = expm1(r22827); double r22829 = r22828 - r22811; double r22830 = 4.829764118837382e-301; bool r22831 = r22812 <= r22830; double r22832 = r22808 / r22806; double r22833 = r22832 / r22798; double r22834 = r22805 / r22801; double r22835 = r22798 * r22798; double r22836 = r22834 / r22835; double r22837 = r22798 * r22801; double r22838 = r22797 / r22837; double r22839 = r22836 - r22838; double r22840 = r22833 - r22839; double r22841 = r22831 ? r22840 : r22812; double r22842 = r22821 ? r22829 : r22841; double r22843 = r22814 ? r22819 : r22842; return r22843; } 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 r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22844); mpfr_init_set_str(r22845, "1", 10, MPFR_RNDN); mpfr_init(r22846); mpfr_init(r22847); mpfr_init(r22848); mpfr_init(r22849); mpfr_init(r22850); mpfr_init(r22851); } double f_im(double x, double n) { mpfr_set_d(r22844, x, MPFR_RNDN); ; mpfr_add(r22846, r22844, r22845, MPFR_RNDN); mpfr_set_d(r22847, n, MPFR_RNDN); mpfr_div(r22848, r22845, r22847, MPFR_RNDN); mpfr_pow(r22849, r22846, r22848, MPFR_RNDN); mpfr_pow(r22850, r22844, r22848, MPFR_RNDN); mpfr_sub(r22851, r22849, r22850, MPFR_RNDN); return mpfr_get_d(r22851, MPFR_RNDN); } static mpfr_t 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, r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r22852, "1", 10, MPFR_RNDN); mpfr_init(r22853); mpfr_init(r22854); mpfr_init(r22855); mpfr_init(r22856); mpfr_init(r22857); mpfr_init(r22858); mpfr_init(r22859); mpfr_init_set_str(r22860, "1/2", 10, MPFR_RNDN); mpfr_init(r22861); mpfr_init(r22862); mpfr_init(r22863); mpfr_init(r22864); mpfr_init(r22865); mpfr_init(r22866); mpfr_init(r22867); mpfr_init_set_str(r22868, "-0.0009160170586057822", 10, MPFR_RNDN); mpfr_init(r22869); mpfr_init(r22870); mpfr_init(r22871); mpfr_init(r22872); mpfr_init(r22873); mpfr_init(r22874); mpfr_init_set_str(r22875, "-5.0299008192410476e-306", 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(r22883); mpfr_init(r22884); mpfr_init_set_str(r22885, "4.829764118837382e-301", 10, MPFR_RNDN); mpfr_init(r22886); mpfr_init(r22887); 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); } double f_fm(double x, double n) { ; mpfr_set_d(r22853, x, MPFR_RNDN); mpfr_add(r22854, r22852, r22853, MPFR_RNDN); mpfr_log(r22855, r22854, MPFR_RNDN); mpfr_set_d(r22856, n, MPFR_RNDN); mpfr_div(r22857, r22852, r22856, MPFR_RNDN); mpfr_mul(r22858, r22855, r22857, MPFR_RNDN); mpfr_expm1(r22859, r22858, MPFR_RNDN); ; mpfr_mul(r22861, r22856, r22856, MPFR_RNDN); mpfr_div(r22862, r22860, r22861, MPFR_RNDN); mpfr_log(r22863, r22853, MPFR_RNDN); mpfr_mul(r22864, r22863, r22863, MPFR_RNDN); mpfr_div(r22865, r22863, r22856, MPFR_RNDN); mpfr_fma(r22866, r22862, r22864, r22865, MPFR_RNDN); mpfr_sub(r22867, r22859, r22866, MPFR_RNDN); ; mpfr_set_si(r22869, mpfr_cmp(r22867, r22868) <= 0, MPFR_RNDN); mpfr_pow(r22870, r22854, r22857, MPFR_RNDN); mpfr_pow(r22871, r22853, r22857, MPFR_RNDN); mpfr_sub(r22872, r22870, r22871, MPFR_RNDN); mpfr_exp(r22873, r22872, MPFR_RNDN); mpfr_log(r22874, r22873, MPFR_RNDN); ; mpfr_set_si(r22876, mpfr_cmp(r22867, r22875) <= 0, MPFR_RNDN); mpfr_cbrt(r22877, r22854, MPFR_RNDN); mpfr_mul(r22878, r22877, r22877, MPFR_RNDN); mpfr_log(r22879, r22878, MPFR_RNDN); mpfr_log(r22880, r22877, MPFR_RNDN); mpfr_add(r22881, r22879, r22880, MPFR_RNDN); mpfr_mul(r22882, r22881, r22857, MPFR_RNDN); mpfr_expm1(r22883, r22882, MPFR_RNDN); mpfr_sub(r22884, r22883, r22866, MPFR_RNDN); ; mpfr_set_si(r22886, mpfr_cmp(r22867, r22885) <= 0, MPFR_RNDN); mpfr_div(r22887, r22863, r22861, MPFR_RNDN); mpfr_div(r22888, r22887, r22853, MPFR_RNDN); mpfr_div(r22889, r22860, r22856, MPFR_RNDN); mpfr_mul(r22890, r22853, r22853, MPFR_RNDN); mpfr_div(r22891, r22889, r22890, MPFR_RNDN); mpfr_mul(r22892, r22853, r22856, MPFR_RNDN); mpfr_div(r22893, r22852, r22892, MPFR_RNDN); mpfr_sub(r22894, r22891, r22893, MPFR_RNDN); mpfr_sub(r22895, r22888, r22894, MPFR_RNDN); if (mpfr_get_si(r22886, MPFR_RNDN)) { mpfr_set(r22896, r22895, MPFR_RNDN); } else { mpfr_set(r22896, r22867, MPFR_RNDN); }; if (mpfr_get_si(r22876, MPFR_RNDN)) { mpfr_set(r22897, r22884, MPFR_RNDN); } else { mpfr_set(r22897, r22896, MPFR_RNDN); }; if (mpfr_get_si(r22869, MPFR_RNDN)) { mpfr_set(r22898, r22874, MPFR_RNDN); } else { mpfr_set(r22898, r22897, MPFR_RNDN); }; return mpfr_get_d(r22898, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init_set_str(r22899, "1", 10, MPFR_RNDN); mpfr_init(r22900); mpfr_init(r22901); mpfr_init(r22902); mpfr_init(r22903); mpfr_init(r22904); mpfr_init(r22905); mpfr_init(r22906); mpfr_init_set_str(r22907, "1/2", 10, MPFR_RNDN); mpfr_init(r22908); mpfr_init(r22909); mpfr_init(r22910); mpfr_init(r22911); mpfr_init(r22912); mpfr_init(r22913); mpfr_init(r22914); mpfr_init_set_str(r22915, "-0.0009160170586057822", 10, MPFR_RNDN); mpfr_init(r22916); mpfr_init(r22917); mpfr_init(r22918); mpfr_init(r22919); mpfr_init(r22920); mpfr_init(r22921); mpfr_init_set_str(r22922, "-5.0299008192410476e-306", 10, MPFR_RNDN); mpfr_init(r22923); mpfr_init(r22924); mpfr_init(r22925); mpfr_init(r22926); mpfr_init(r22927); mpfr_init(r22928); mpfr_init(r22929); mpfr_init(r22930); mpfr_init(r22931); mpfr_init_set_str(r22932, "4.829764118837382e-301", 10, MPFR_RNDN); 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); } double f_dm(double x, double n) { ; mpfr_set_d(r22900, x, MPFR_RNDN); mpfr_add(r22901, r22899, r22900, MPFR_RNDN); mpfr_log(r22902, r22901, MPFR_RNDN); mpfr_set_d(r22903, n, MPFR_RNDN); mpfr_div(r22904, r22899, r22903, MPFR_RNDN); mpfr_mul(r22905, r22902, r22904, MPFR_RNDN); mpfr_expm1(r22906, r22905, MPFR_RNDN); ; mpfr_mul(r22908, r22903, r22903, MPFR_RNDN); mpfr_div(r22909, r22907, r22908, MPFR_RNDN); mpfr_log(r22910, r22900, MPFR_RNDN); mpfr_mul(r22911, r22910, r22910, MPFR_RNDN); mpfr_div(r22912, r22910, r22903, MPFR_RNDN); mpfr_fma(r22913, r22909, r22911, r22912, MPFR_RNDN); mpfr_sub(r22914, r22906, r22913, MPFR_RNDN); ; mpfr_set_si(r22916, mpfr_cmp(r22914, r22915) <= 0, MPFR_RNDN); mpfr_pow(r22917, r22901, r22904, MPFR_RNDN); mpfr_pow(r22918, r22900, r22904, MPFR_RNDN); mpfr_sub(r22919, r22917, r22918, MPFR_RNDN); mpfr_exp(r22920, r22919, MPFR_RNDN); mpfr_log(r22921, r22920, MPFR_RNDN); ; mpfr_set_si(r22923, mpfr_cmp(r22914, r22922) <= 0, MPFR_RNDN); mpfr_cbrt(r22924, r22901, MPFR_RNDN); mpfr_mul(r22925, r22924, r22924, MPFR_RNDN); mpfr_log(r22926, r22925, MPFR_RNDN); mpfr_log(r22927, r22924, MPFR_RNDN); mpfr_add(r22928, r22926, r22927, MPFR_RNDN); mpfr_mul(r22929, r22928, r22904, MPFR_RNDN); mpfr_expm1(r22930, r22929, MPFR_RNDN); mpfr_sub(r22931, r22930, r22913, MPFR_RNDN); ; mpfr_set_si(r22933, mpfr_cmp(r22914, r22932) <= 0, MPFR_RNDN); mpfr_div(r22934, r22910, r22908, MPFR_RNDN); mpfr_div(r22935, r22934, r22900, MPFR_RNDN); mpfr_div(r22936, r22907, r22903, MPFR_RNDN); mpfr_mul(r22937, r22900, r22900, MPFR_RNDN); mpfr_div(r22938, r22936, r22937, MPFR_RNDN); mpfr_mul(r22939, r22900, r22903, MPFR_RNDN); mpfr_div(r22940, r22899, r22939, MPFR_RNDN); mpfr_sub(r22941, r22938, r22940, MPFR_RNDN); mpfr_sub(r22942, r22935, r22941, MPFR_RNDN); if (mpfr_get_si(r22933, MPFR_RNDN)) { mpfr_set(r22943, r22942, MPFR_RNDN); } else { mpfr_set(r22943, r22914, MPFR_RNDN); }; if (mpfr_get_si(r22923, MPFR_RNDN)) { mpfr_set(r22944, r22931, MPFR_RNDN); } else { mpfr_set(r22944, r22943, MPFR_RNDN); }; if (mpfr_get_si(r22916, MPFR_RNDN)) { mpfr_set(r22945, r22921, MPFR_RNDN); } else { mpfr_set(r22945, r22944, MPFR_RNDN); }; return mpfr_get_d(r22945, MPFR_RNDN); }