#include #include #include #include #include char *name = "Octave 3.8, jcobi/2"; double f_if(float alpha, float beta, float i) { float r22773 = alpha; float r22774 = beta; float r22775 = r22773 + r22774; float r22776 = r22774 - r22773; float r22777 = r22775 * r22776; float r22778 = 2; float r22779 = i; float r22780 = r22778 * r22779; float r22781 = r22775 + r22780; float r22782 = r22777 / r22781; float r22783 = 2.0; float r22784 = r22781 + r22783; float r22785 = r22782 / r22784; float r22786 = 1.0; float r22787 = r22785 + r22786; float r22788 = r22787 / r22783; return r22788; } double f_id(double alpha, double beta, double i) { double r22789 = alpha; double r22790 = beta; double r22791 = r22789 + r22790; double r22792 = r22790 - r22789; double r22793 = r22791 * r22792; double r22794 = 2; double r22795 = i; double r22796 = r22794 * r22795; double r22797 = r22791 + r22796; double r22798 = r22793 / r22797; double r22799 = 2.0; double r22800 = r22797 + r22799; double r22801 = r22798 / r22800; double r22802 = 1.0; double r22803 = r22801 + r22802; double r22804 = r22803 / r22799; return r22804; } double f_of(float alpha, float beta, float i) { float r22805 = beta; float r22806 = alpha; float r22807 = r22805 + r22806; float r22808 = i; float r22809 = r22808 + r22808; float r22810 = r22807 + r22809; float r22811 = r22807 / r22810; float r22812 = r22805 - r22806; float r22813 = r22811 * r22812; float r22814 = 2.0; float r22815 = r22809 + r22814; float r22816 = r22807 + r22815; float r22817 = sqrt(r22816); float r22818 = r22813 / r22817; float r22819 = r22818 / r22817; float r22820 = 3; float r22821 = pow(r22819, r22820); float r22822 = 1.0; float r22823 = pow(r22822, r22820); float r22824 = r22821 + r22823; float r22825 = r22806 + r22805; float r22826 = 2; float r22827 = r22826 * r22808; float r22828 = r22825 + r22827; float r22829 = cbrt(r22828); float r22830 = r22829 * r22829; float r22831 = r22825 / r22830; float r22832 = r22828 + r22814; float r22833 = sqrt(r22832); float r22834 = r22831 / r22833; float r22835 = r22812 / r22829; float r22836 = r22835 / r22833; float r22837 = r22834 * r22836; float r22838 = r22837 * r22837; float r22839 = r22822 * r22822; float r22840 = r22837 * r22822; float r22841 = r22839 - r22840; float r22842 = r22838 + r22841; float r22843 = r22824 / r22842; float r22844 = r22843 / r22814; float r22845 = 1.1102230246251573e-16; bool r22846 = r22844 <= r22845; float r22847 = 8.0; float r22848 = r22847 / r22806; float r22849 = r22806 * r22806; float r22850 = r22848 / r22849; float r22851 = 4.0; float r22852 = r22851 / r22806; float r22853 = r22814 - r22852; float r22854 = r22853 / r22806; float r22855 = r22850 + r22854; float r22856 = r22855 / r22814; float r22857 = 1; float r22858 = r22825 / r22857; float r22859 = r22812 / r22828; float r22860 = r22858 * r22859; float r22861 = r22860 / r22832; float r22862 = r22861 + r22822; float r22863 = r22862 / r22814; float r22864 = r22846 ? r22856 : r22863; return r22864; } double f_od(double alpha, double beta, double i) { double r22865 = beta; double r22866 = alpha; double r22867 = r22865 + r22866; double r22868 = i; double r22869 = r22868 + r22868; double r22870 = r22867 + r22869; double r22871 = r22867 / r22870; double r22872 = r22865 - r22866; double r22873 = r22871 * r22872; double r22874 = 2.0; double r22875 = r22869 + r22874; double r22876 = r22867 + r22875; double r22877 = sqrt(r22876); double r22878 = r22873 / r22877; double r22879 = r22878 / r22877; double r22880 = 3; double r22881 = pow(r22879, r22880); double r22882 = 1.0; double r22883 = pow(r22882, r22880); double r22884 = r22881 + r22883; double r22885 = r22866 + r22865; double r22886 = 2; double r22887 = r22886 * r22868; double r22888 = r22885 + r22887; double r22889 = cbrt(r22888); double r22890 = r22889 * r22889; double r22891 = r22885 / r22890; double r22892 = r22888 + r22874; double r22893 = sqrt(r22892); double r22894 = r22891 / r22893; double r22895 = r22872 / r22889; double r22896 = r22895 / r22893; double r22897 = r22894 * r22896; double r22898 = r22897 * r22897; double r22899 = r22882 * r22882; double r22900 = r22897 * r22882; double r22901 = r22899 - r22900; double r22902 = r22898 + r22901; double r22903 = r22884 / r22902; double r22904 = r22903 / r22874; double r22905 = 1.1102230246251573e-16; bool r22906 = r22904 <= r22905; double r22907 = 8.0; double r22908 = r22907 / r22866; double r22909 = r22866 * r22866; double r22910 = r22908 / r22909; double r22911 = 4.0; double r22912 = r22911 / r22866; double r22913 = r22874 - r22912; double r22914 = r22913 / r22866; double r22915 = r22910 + r22914; double r22916 = r22915 / r22874; double r22917 = 1; double r22918 = r22885 / r22917; double r22919 = r22872 / r22888; double r22920 = r22918 * r22919; double r22921 = r22920 / r22892; double r22922 = r22921 + r22882; double r22923 = r22922 / r22874; double r22924 = r22906 ? r22916 : r22923; return r22924; } 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 r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22925); mpfr_init(r22926); mpfr_init(r22927); mpfr_init(r22928); mpfr_init(r22929); mpfr_init_set_str(r22930, "2", 10, MPFR_RNDN); mpfr_init(r22931); mpfr_init(r22932); mpfr_init(r22933); mpfr_init(r22934); mpfr_init_set_str(r22935, "2.0", 10, MPFR_RNDN); mpfr_init(r22936); mpfr_init(r22937); mpfr_init_set_str(r22938, "1.0", 10, MPFR_RNDN); mpfr_init(r22939); mpfr_init(r22940); } double f_im(double alpha, double beta, double i) { mpfr_set_d(r22925, alpha, MPFR_RNDN); mpfr_set_d(r22926, beta, MPFR_RNDN); mpfr_add(r22927, r22925, r22926, MPFR_RNDN); mpfr_sub(r22928, r22926, r22925, MPFR_RNDN); mpfr_mul(r22929, r22927, r22928, MPFR_RNDN); ; mpfr_set_d(r22931, i, MPFR_RNDN); mpfr_mul(r22932, r22930, r22931, MPFR_RNDN); mpfr_add(r22933, r22927, r22932, MPFR_RNDN); mpfr_div(r22934, r22929, r22933, MPFR_RNDN); ; mpfr_add(r22936, r22933, r22935, MPFR_RNDN); mpfr_div(r22937, r22934, r22936, MPFR_RNDN); ; mpfr_add(r22939, r22937, r22938, MPFR_RNDN); mpfr_div(r22940, r22939, r22935, MPFR_RNDN); return mpfr_get_d(r22940, MPFR_RNDN); } static mpfr_t r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); 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_set_str(r22950, "2.0", 10, MPFR_RNDN); mpfr_init(r22951); mpfr_init(r22952); mpfr_init(r22953); mpfr_init(r22954); mpfr_init(r22955); mpfr_init_set_str(r22956, "3", 10, MPFR_RNDN); mpfr_init(r22957); mpfr_init_set_str(r22958, "1.0", 10, MPFR_RNDN); mpfr_init(r22959); mpfr_init(r22960); mpfr_init(r22961); mpfr_init_set_str(r22962, "2", 10, MPFR_RNDN); mpfr_init(r22963); mpfr_init(r22964); mpfr_init(r22965); mpfr_init(r22966); mpfr_init(r22967); mpfr_init(r22968); mpfr_init(r22969); mpfr_init(r22970); mpfr_init(r22971); mpfr_init(r22972); mpfr_init(r22973); mpfr_init(r22974); mpfr_init(r22975); mpfr_init(r22976); mpfr_init(r22977); mpfr_init(r22978); mpfr_init(r22979); mpfr_init(r22980); mpfr_init_set_str(r22981, "1.1102230246251573e-16", 10, MPFR_RNDN); mpfr_init(r22982); mpfr_init_set_str(r22983, "8.0", 10, MPFR_RNDN); mpfr_init(r22984); mpfr_init(r22985); mpfr_init(r22986); mpfr_init_set_str(r22987, "4.0", 10, MPFR_RNDN); mpfr_init(r22988); mpfr_init(r22989); mpfr_init(r22990); mpfr_init(r22991); mpfr_init(r22992); mpfr_init_set_str(r22993, "1", 10, MPFR_RNDN); mpfr_init(r22994); mpfr_init(r22995); mpfr_init(r22996); mpfr_init(r22997); mpfr_init(r22998); mpfr_init(r22999); mpfr_init(r23000); } double f_fm(double alpha, double beta, double i) { mpfr_set_d(r22941, beta, MPFR_RNDN); mpfr_set_d(r22942, alpha, MPFR_RNDN); mpfr_add(r22943, r22941, r22942, MPFR_RNDN); mpfr_set_d(r22944, i, MPFR_RNDN); mpfr_add(r22945, r22944, r22944, MPFR_RNDN); mpfr_add(r22946, r22943, r22945, MPFR_RNDN); mpfr_div(r22947, r22943, r22946, MPFR_RNDN); mpfr_sub(r22948, r22941, r22942, MPFR_RNDN); mpfr_mul(r22949, r22947, r22948, MPFR_RNDN); ; mpfr_add(r22951, r22945, r22950, MPFR_RNDN); mpfr_add(r22952, r22943, r22951, MPFR_RNDN); mpfr_sqrt(r22953, r22952, MPFR_RNDN); mpfr_div(r22954, r22949, r22953, MPFR_RNDN); mpfr_div(r22955, r22954, r22953, MPFR_RNDN); ; mpfr_pow(r22957, r22955, r22956, MPFR_RNDN); ; mpfr_pow(r22959, r22958, r22956, MPFR_RNDN); mpfr_add(r22960, r22957, r22959, MPFR_RNDN); mpfr_add(r22961, r22942, r22941, MPFR_RNDN); ; mpfr_mul(r22963, r22962, r22944, MPFR_RNDN); mpfr_add(r22964, r22961, r22963, MPFR_RNDN); mpfr_cbrt(r22965, r22964, MPFR_RNDN); mpfr_mul(r22966, r22965, r22965, MPFR_RNDN); mpfr_div(r22967, r22961, r22966, MPFR_RNDN); mpfr_add(r22968, r22964, r22950, MPFR_RNDN); mpfr_sqrt(r22969, r22968, MPFR_RNDN); mpfr_div(r22970, r22967, r22969, MPFR_RNDN); mpfr_div(r22971, r22948, r22965, MPFR_RNDN); mpfr_div(r22972, r22971, r22969, MPFR_RNDN); mpfr_mul(r22973, r22970, r22972, MPFR_RNDN); mpfr_mul(r22974, r22973, r22973, MPFR_RNDN); mpfr_mul(r22975, r22958, r22958, MPFR_RNDN); mpfr_mul(r22976, r22973, r22958, MPFR_RNDN); mpfr_sub(r22977, r22975, r22976, MPFR_RNDN); mpfr_add(r22978, r22974, r22977, MPFR_RNDN); mpfr_div(r22979, r22960, r22978, MPFR_RNDN); mpfr_div(r22980, r22979, r22950, MPFR_RNDN); ; mpfr_set_si(r22982, mpfr_cmp(r22980, r22981) <= 0, MPFR_RNDN); ; mpfr_div(r22984, r22983, r22942, MPFR_RNDN); mpfr_mul(r22985, r22942, r22942, MPFR_RNDN); mpfr_div(r22986, r22984, r22985, MPFR_RNDN); ; mpfr_div(r22988, r22987, r22942, MPFR_RNDN); mpfr_sub(r22989, r22950, r22988, MPFR_RNDN); mpfr_div(r22990, r22989, r22942, MPFR_RNDN); mpfr_add(r22991, r22986, r22990, MPFR_RNDN); mpfr_div(r22992, r22991, r22950, MPFR_RNDN); ; mpfr_div(r22994, r22961, r22993, MPFR_RNDN); mpfr_div(r22995, r22948, r22964, MPFR_RNDN); mpfr_mul(r22996, r22994, r22995, MPFR_RNDN); mpfr_div(r22997, r22996, r22968, MPFR_RNDN); mpfr_add(r22998, r22997, r22958, MPFR_RNDN); mpfr_div(r22999, r22998, r22950, MPFR_RNDN); if (mpfr_get_si(r22982, MPFR_RNDN)) { mpfr_set(r23000, r22992, MPFR_RNDN); } else { mpfr_set(r23000, r22999, MPFR_RNDN); }; return mpfr_get_d(r23000, MPFR_RNDN); } static mpfr_t r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059, r23060; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r23001); mpfr_init(r23002); mpfr_init(r23003); mpfr_init(r23004); mpfr_init(r23005); mpfr_init(r23006); mpfr_init(r23007); mpfr_init(r23008); mpfr_init(r23009); mpfr_init_set_str(r23010, "2.0", 10, MPFR_RNDN); mpfr_init(r23011); mpfr_init(r23012); mpfr_init(r23013); mpfr_init(r23014); mpfr_init(r23015); mpfr_init_set_str(r23016, "3", 10, MPFR_RNDN); mpfr_init(r23017); mpfr_init_set_str(r23018, "1.0", 10, MPFR_RNDN); mpfr_init(r23019); mpfr_init(r23020); mpfr_init(r23021); mpfr_init_set_str(r23022, "2", 10, MPFR_RNDN); mpfr_init(r23023); mpfr_init(r23024); mpfr_init(r23025); mpfr_init(r23026); mpfr_init(r23027); mpfr_init(r23028); mpfr_init(r23029); mpfr_init(r23030); mpfr_init(r23031); mpfr_init(r23032); mpfr_init(r23033); mpfr_init(r23034); mpfr_init(r23035); mpfr_init(r23036); mpfr_init(r23037); mpfr_init(r23038); mpfr_init(r23039); mpfr_init(r23040); mpfr_init_set_str(r23041, "1.1102230246251573e-16", 10, MPFR_RNDN); mpfr_init(r23042); mpfr_init_set_str(r23043, "8.0", 10, MPFR_RNDN); mpfr_init(r23044); mpfr_init(r23045); mpfr_init(r23046); mpfr_init_set_str(r23047, "4.0", 10, MPFR_RNDN); mpfr_init(r23048); mpfr_init(r23049); mpfr_init(r23050); mpfr_init(r23051); mpfr_init(r23052); mpfr_init_set_str(r23053, "1", 10, MPFR_RNDN); mpfr_init(r23054); mpfr_init(r23055); mpfr_init(r23056); mpfr_init(r23057); mpfr_init(r23058); mpfr_init(r23059); mpfr_init(r23060); } double f_dm(double alpha, double beta, double i) { mpfr_set_d(r23001, beta, MPFR_RNDN); mpfr_set_d(r23002, alpha, MPFR_RNDN); mpfr_add(r23003, r23001, r23002, MPFR_RNDN); mpfr_set_d(r23004, i, MPFR_RNDN); mpfr_add(r23005, r23004, r23004, MPFR_RNDN); mpfr_add(r23006, r23003, r23005, MPFR_RNDN); mpfr_div(r23007, r23003, r23006, MPFR_RNDN); mpfr_sub(r23008, r23001, r23002, MPFR_RNDN); mpfr_mul(r23009, r23007, r23008, MPFR_RNDN); ; mpfr_add(r23011, r23005, r23010, MPFR_RNDN); mpfr_add(r23012, r23003, r23011, MPFR_RNDN); mpfr_sqrt(r23013, r23012, MPFR_RNDN); mpfr_div(r23014, r23009, r23013, MPFR_RNDN); mpfr_div(r23015, r23014, r23013, MPFR_RNDN); ; mpfr_pow(r23017, r23015, r23016, MPFR_RNDN); ; mpfr_pow(r23019, r23018, r23016, MPFR_RNDN); mpfr_add(r23020, r23017, r23019, MPFR_RNDN); mpfr_add(r23021, r23002, r23001, MPFR_RNDN); ; mpfr_mul(r23023, r23022, r23004, MPFR_RNDN); mpfr_add(r23024, r23021, r23023, MPFR_RNDN); mpfr_cbrt(r23025, r23024, MPFR_RNDN); mpfr_mul(r23026, r23025, r23025, MPFR_RNDN); mpfr_div(r23027, r23021, r23026, MPFR_RNDN); mpfr_add(r23028, r23024, r23010, MPFR_RNDN); mpfr_sqrt(r23029, r23028, MPFR_RNDN); mpfr_div(r23030, r23027, r23029, MPFR_RNDN); mpfr_div(r23031, r23008, r23025, MPFR_RNDN); mpfr_div(r23032, r23031, r23029, MPFR_RNDN); mpfr_mul(r23033, r23030, r23032, MPFR_RNDN); mpfr_mul(r23034, r23033, r23033, MPFR_RNDN); mpfr_mul(r23035, r23018, r23018, MPFR_RNDN); mpfr_mul(r23036, r23033, r23018, MPFR_RNDN); mpfr_sub(r23037, r23035, r23036, MPFR_RNDN); mpfr_add(r23038, r23034, r23037, MPFR_RNDN); mpfr_div(r23039, r23020, r23038, MPFR_RNDN); mpfr_div(r23040, r23039, r23010, MPFR_RNDN); ; mpfr_set_si(r23042, mpfr_cmp(r23040, r23041) <= 0, MPFR_RNDN); ; mpfr_div(r23044, r23043, r23002, MPFR_RNDN); mpfr_mul(r23045, r23002, r23002, MPFR_RNDN); mpfr_div(r23046, r23044, r23045, MPFR_RNDN); ; mpfr_div(r23048, r23047, r23002, MPFR_RNDN); mpfr_sub(r23049, r23010, r23048, MPFR_RNDN); mpfr_div(r23050, r23049, r23002, MPFR_RNDN); mpfr_add(r23051, r23046, r23050, MPFR_RNDN); mpfr_div(r23052, r23051, r23010, MPFR_RNDN); ; mpfr_div(r23054, r23021, r23053, MPFR_RNDN); mpfr_div(r23055, r23008, r23024, MPFR_RNDN); mpfr_mul(r23056, r23054, r23055, MPFR_RNDN); mpfr_div(r23057, r23056, r23028, MPFR_RNDN); mpfr_add(r23058, r23057, r23018, MPFR_RNDN); mpfr_div(r23059, r23058, r23010, MPFR_RNDN); if (mpfr_get_si(r23042, MPFR_RNDN)) { mpfr_set(r23060, r23052, MPFR_RNDN); } else { mpfr_set(r23060, r23059, MPFR_RNDN); }; return mpfr_get_d(r23060, MPFR_RNDN); }