#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r24823 = x; float r24824 = eps; float r24825 = r24823 + r24824; float r24826 = tan(r24825); float r24827 = tan(r24823); float r24828 = r24826 - r24827; return r24828; } double f_id(double x, double eps) { double r24829 = x; double r24830 = eps; double r24831 = r24829 + r24830; double r24832 = tan(r24831); double r24833 = tan(r24829); double r24834 = r24832 - r24833; return r24834; } double f_of(float x, float eps) { float r24835 = x; float r24836 = eps; float r24837 = 2; float r24838 = pow(r24836, r24837); float r24839 = r24835 * r24838; float r24840 = 3; float r24841 = pow(r24836, r24840); float r24842 = pow(r24835, r24837); float r24843 = r24841 * r24842; float r24844 = r24839 + r24843; float r24845 = r24844 + r24836; float r24846 = -4.9186968565525686e-11; bool r24847 = r24845 <= r24846; float r24848 = tan(r24835); float r24849 = tan(r24836); float r24850 = sin(r24835); float r24851 = r24849 * r24850; float r24852 = cos(r24835); float r24853 = r24851 + r24852; float r24854 = r24848 * r24853; float r24855 = r24849 * r24852; float r24856 = r24850 - r24855; float r24857 = r24854 - r24856; float r24858 = r24852 * r24848; float r24859 = r24849 * r24858; float r24860 = r24852 - r24859; float r24861 = r24857 / r24860; float r24862 = 7.1739441105252405e-28; bool r24863 = r24845 <= r24862; float r24864 = r24849 + r24848; float r24865 = 1; float r24866 = sin(r24836); float r24867 = r24866 * r24850; float r24868 = cos(r24836); float r24869 = r24852 * r24868; float r24870 = r24867 / r24869; float r24871 = pow(r24870, r24840); float r24872 = r24865 - r24871; float r24873 = r24864 / r24872; float r24874 = r24870 * r24870; float r24875 = r24874 + r24870; float r24876 = r24865 + r24875; float r24877 = r24873 * r24876; float r24878 = r24877 - r24848; float r24879 = r24863 ? r24845 : r24878; float r24880 = r24847 ? r24861 : r24879; return r24880; } double f_od(double x, double eps) { double r24881 = x; double r24882 = eps; double r24883 = 2; double r24884 = pow(r24882, r24883); double r24885 = r24881 * r24884; double r24886 = 3; double r24887 = pow(r24882, r24886); double r24888 = pow(r24881, r24883); double r24889 = r24887 * r24888; double r24890 = r24885 + r24889; double r24891 = r24890 + r24882; double r24892 = -4.9186968565525686e-11; bool r24893 = r24891 <= r24892; double r24894 = tan(r24881); double r24895 = tan(r24882); double r24896 = sin(r24881); double r24897 = r24895 * r24896; double r24898 = cos(r24881); double r24899 = r24897 + r24898; double r24900 = r24894 * r24899; double r24901 = r24895 * r24898; double r24902 = r24896 - r24901; double r24903 = r24900 - r24902; double r24904 = r24898 * r24894; double r24905 = r24895 * r24904; double r24906 = r24898 - r24905; double r24907 = r24903 / r24906; double r24908 = 7.1739441105252405e-28; bool r24909 = r24891 <= r24908; double r24910 = r24895 + r24894; double r24911 = 1; double r24912 = sin(r24882); double r24913 = r24912 * r24896; double r24914 = cos(r24882); double r24915 = r24898 * r24914; double r24916 = r24913 / r24915; double r24917 = pow(r24916, r24886); double r24918 = r24911 - r24917; double r24919 = r24910 / r24918; double r24920 = r24916 * r24916; double r24921 = r24920 + r24916; double r24922 = r24911 + r24921; double r24923 = r24919 * r24922; double r24924 = r24923 - r24894; double r24925 = r24909 ? r24891 : r24924; double r24926 = r24893 ? r24907 : r24925; return r24926; } 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 r24927, r24928, r24929, r24930, r24931, r24932; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r24927); mpfr_init(r24928); mpfr_init(r24929); mpfr_init(r24930); mpfr_init(r24931); mpfr_init(r24932); } double f_im(double x, double eps) { mpfr_set_d(r24927, x, MPFR_RNDN); mpfr_set_d(r24928, eps, MPFR_RNDN); mpfr_add(r24929, r24927, r24928, MPFR_RNDN); mpfr_tan(r24930, r24929, MPFR_RNDN); mpfr_tan(r24931, r24927, MPFR_RNDN); mpfr_sub(r24932, r24930, r24931, MPFR_RNDN); return mpfr_get_d(r24932, MPFR_RNDN); } static mpfr_t r24933, r24934, r24935, r24936, r24937, r24938, r24939, r24940, r24941, r24942, r24943, r24944, r24945, r24946, r24947, r24948, r24949, r24950, r24951, r24952, r24953, r24954, r24955, r24956, r24957, r24958, r24959, r24960, r24961, r24962, r24963, r24964, r24965, r24966, r24967, r24968, r24969, r24970, r24971, r24972, r24973, r24974, r24975, r24976, r24977, r24978; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r24933); mpfr_init(r24934); mpfr_init_set_str(r24935, "2", 10, MPFR_RNDN); mpfr_init(r24936); mpfr_init(r24937); mpfr_init_set_str(r24938, "3", 10, MPFR_RNDN); mpfr_init(r24939); mpfr_init(r24940); mpfr_init(r24941); mpfr_init(r24942); mpfr_init(r24943); mpfr_init_set_str(r24944, "-4.9186968565525686e-11", 10, MPFR_RNDN); mpfr_init(r24945); mpfr_init(r24946); mpfr_init(r24947); mpfr_init(r24948); mpfr_init(r24949); mpfr_init(r24950); mpfr_init(r24951); mpfr_init(r24952); mpfr_init(r24953); mpfr_init(r24954); mpfr_init(r24955); mpfr_init(r24956); mpfr_init(r24957); mpfr_init(r24958); mpfr_init(r24959); mpfr_init_set_str(r24960, "7.1739441105252405e-28", 10, MPFR_RNDN); mpfr_init(r24961); mpfr_init(r24962); mpfr_init_set_str(r24963, "1", 10, MPFR_RNDN); mpfr_init(r24964); mpfr_init(r24965); mpfr_init(r24966); mpfr_init(r24967); mpfr_init(r24968); mpfr_init(r24969); mpfr_init(r24970); mpfr_init(r24971); mpfr_init(r24972); mpfr_init(r24973); mpfr_init(r24974); mpfr_init(r24975); mpfr_init(r24976); mpfr_init(r24977); mpfr_init(r24978); } double f_fm(double x, double eps) { mpfr_set_d(r24933, x, MPFR_RNDN); mpfr_set_d(r24934, eps, MPFR_RNDN); ; mpfr_pow(r24936, r24934, r24935, MPFR_RNDN); mpfr_mul(r24937, r24933, r24936, MPFR_RNDN); ; mpfr_pow(r24939, r24934, r24938, MPFR_RNDN); mpfr_pow(r24940, r24933, r24935, MPFR_RNDN); mpfr_mul(r24941, r24939, r24940, MPFR_RNDN); mpfr_add(r24942, r24937, r24941, MPFR_RNDN); mpfr_add(r24943, r24942, r24934, MPFR_RNDN); ; mpfr_set_si(r24945, mpfr_cmp(r24943, r24944) <= 0, MPFR_RNDN); mpfr_tan(r24946, r24933, MPFR_RNDN); mpfr_tan(r24947, r24934, MPFR_RNDN); mpfr_sin(r24948, r24933, MPFR_RNDN); mpfr_mul(r24949, r24947, r24948, MPFR_RNDN); mpfr_cos(r24950, r24933, MPFR_RNDN); mpfr_add(r24951, r24949, r24950, MPFR_RNDN); mpfr_mul(r24952, r24946, r24951, MPFR_RNDN); mpfr_mul(r24953, r24947, r24950, MPFR_RNDN); mpfr_sub(r24954, r24948, r24953, MPFR_RNDN); mpfr_sub(r24955, r24952, r24954, MPFR_RNDN); mpfr_mul(r24956, r24950, r24946, MPFR_RNDN); mpfr_mul(r24957, r24947, r24956, MPFR_RNDN); mpfr_sub(r24958, r24950, r24957, MPFR_RNDN); mpfr_div(r24959, r24955, r24958, MPFR_RNDN); ; mpfr_set_si(r24961, mpfr_cmp(r24943, r24960) <= 0, MPFR_RNDN); mpfr_add(r24962, r24947, r24946, MPFR_RNDN); ; mpfr_sin(r24964, r24934, MPFR_RNDN); mpfr_mul(r24965, r24964, r24948, MPFR_RNDN); mpfr_cos(r24966, r24934, MPFR_RNDN); mpfr_mul(r24967, r24950, r24966, MPFR_RNDN); mpfr_div(r24968, r24965, r24967, MPFR_RNDN); mpfr_pow(r24969, r24968, r24938, MPFR_RNDN); mpfr_sub(r24970, r24963, r24969, MPFR_RNDN); mpfr_div(r24971, r24962, r24970, MPFR_RNDN); mpfr_mul(r24972, r24968, r24968, MPFR_RNDN); mpfr_add(r24973, r24972, r24968, MPFR_RNDN); mpfr_add(r24974, r24963, r24973, MPFR_RNDN); mpfr_mul(r24975, r24971, r24974, MPFR_RNDN); mpfr_sub(r24976, r24975, r24946, MPFR_RNDN); if (mpfr_get_si(r24961, MPFR_RNDN)) { mpfr_set(r24977, r24943, MPFR_RNDN); } else { mpfr_set(r24977, r24976, MPFR_RNDN); }; if (mpfr_get_si(r24945, MPFR_RNDN)) { mpfr_set(r24978, r24959, MPFR_RNDN); } else { mpfr_set(r24978, r24977, MPFR_RNDN); }; return mpfr_get_d(r24978, MPFR_RNDN); } static mpfr_t r24979, r24980, r24981, r24982, r24983, r24984, r24985, r24986, r24987, r24988, r24989, r24990, r24991, r24992, r24993, r24994, r24995, r24996, r24997, r24998, r24999, r25000, r25001, r25002, r25003, r25004, r25005, r25006, r25007, r25008, r25009, r25010, r25011, r25012, r25013, r25014, r25015, r25016, r25017, r25018, r25019, r25020, r25021, r25022, r25023, r25024; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init(r24979); mpfr_init(r24980); mpfr_init_set_str(r24981, "2", 10, MPFR_RNDN); mpfr_init(r24982); mpfr_init(r24983); mpfr_init_set_str(r24984, "3", 10, MPFR_RNDN); mpfr_init(r24985); mpfr_init(r24986); mpfr_init(r24987); mpfr_init(r24988); mpfr_init(r24989); mpfr_init_set_str(r24990, "-4.9186968565525686e-11", 10, MPFR_RNDN); mpfr_init(r24991); mpfr_init(r24992); mpfr_init(r24993); mpfr_init(r24994); mpfr_init(r24995); mpfr_init(r24996); mpfr_init(r24997); mpfr_init(r24998); mpfr_init(r24999); mpfr_init(r25000); mpfr_init(r25001); mpfr_init(r25002); mpfr_init(r25003); mpfr_init(r25004); mpfr_init(r25005); mpfr_init_set_str(r25006, "7.1739441105252405e-28", 10, MPFR_RNDN); mpfr_init(r25007); mpfr_init(r25008); mpfr_init_set_str(r25009, "1", 10, MPFR_RNDN); mpfr_init(r25010); mpfr_init(r25011); mpfr_init(r25012); mpfr_init(r25013); mpfr_init(r25014); mpfr_init(r25015); mpfr_init(r25016); mpfr_init(r25017); mpfr_init(r25018); mpfr_init(r25019); mpfr_init(r25020); mpfr_init(r25021); mpfr_init(r25022); mpfr_init(r25023); mpfr_init(r25024); } double f_dm(double x, double eps) { mpfr_set_d(r24979, x, MPFR_RNDN); mpfr_set_d(r24980, eps, MPFR_RNDN); ; mpfr_pow(r24982, r24980, r24981, MPFR_RNDN); mpfr_mul(r24983, r24979, r24982, MPFR_RNDN); ; mpfr_pow(r24985, r24980, r24984, MPFR_RNDN); mpfr_pow(r24986, r24979, r24981, MPFR_RNDN); mpfr_mul(r24987, r24985, r24986, MPFR_RNDN); mpfr_add(r24988, r24983, r24987, MPFR_RNDN); mpfr_add(r24989, r24988, r24980, MPFR_RNDN); ; mpfr_set_si(r24991, mpfr_cmp(r24989, r24990) <= 0, MPFR_RNDN); mpfr_tan(r24992, r24979, MPFR_RNDN); mpfr_tan(r24993, r24980, MPFR_RNDN); mpfr_sin(r24994, r24979, MPFR_RNDN); mpfr_mul(r24995, r24993, r24994, MPFR_RNDN); mpfr_cos(r24996, r24979, MPFR_RNDN); mpfr_add(r24997, r24995, r24996, MPFR_RNDN); mpfr_mul(r24998, r24992, r24997, MPFR_RNDN); mpfr_mul(r24999, r24993, r24996, MPFR_RNDN); mpfr_sub(r25000, r24994, r24999, MPFR_RNDN); mpfr_sub(r25001, r24998, r25000, MPFR_RNDN); mpfr_mul(r25002, r24996, r24992, MPFR_RNDN); mpfr_mul(r25003, r24993, r25002, MPFR_RNDN); mpfr_sub(r25004, r24996, r25003, MPFR_RNDN); mpfr_div(r25005, r25001, r25004, MPFR_RNDN); ; mpfr_set_si(r25007, mpfr_cmp(r24989, r25006) <= 0, MPFR_RNDN); mpfr_add(r25008, r24993, r24992, MPFR_RNDN); ; mpfr_sin(r25010, r24980, MPFR_RNDN); mpfr_mul(r25011, r25010, r24994, MPFR_RNDN); mpfr_cos(r25012, r24980, MPFR_RNDN); mpfr_mul(r25013, r24996, r25012, MPFR_RNDN); mpfr_div(r25014, r25011, r25013, MPFR_RNDN); mpfr_pow(r25015, r25014, r24984, MPFR_RNDN); mpfr_sub(r25016, r25009, r25015, MPFR_RNDN); mpfr_div(r25017, r25008, r25016, MPFR_RNDN); mpfr_mul(r25018, r25014, r25014, MPFR_RNDN); mpfr_add(r25019, r25018, r25014, MPFR_RNDN); mpfr_add(r25020, r25009, r25019, MPFR_RNDN); mpfr_mul(r25021, r25017, r25020, MPFR_RNDN); mpfr_sub(r25022, r25021, r24992, MPFR_RNDN); if (mpfr_get_si(r25007, MPFR_RNDN)) { mpfr_set(r25023, r24989, MPFR_RNDN); } else { mpfr_set(r25023, r25022, MPFR_RNDN); }; if (mpfr_get_si(r24991, MPFR_RNDN)) { mpfr_set(r25024, r25005, MPFR_RNDN); } else { mpfr_set(r25024, r25023, MPFR_RNDN); }; return mpfr_get_d(r25024, MPFR_RNDN); }