#include #include #include #include #include char *name = "2log (problem 3.3.6)"; double f_if(float N) { float r22932 = N; float r22933 = 1; float r22934 = r22932 + r22933; float r22935 = log(r22934); float r22936 = log(r22932); float r22937 = r22935 - r22936; return r22937; } double f_id(double N) { double r22938 = N; double r22939 = 1; double r22940 = r22938 + r22939; double r22941 = log(r22940); double r22942 = log(r22938); double r22943 = r22941 - r22942; return r22943; } double f_of(float N) { float r22944 = N; float r22945 = 1; float r22946 = r22944 + r22945; float r22947 = log(r22946); float r22948 = log(r22944); float r22949 = r22947 - r22948; float r22950 = 9.045593907618368e-32; bool r22951 = r22949 <= r22950; float r22952 = r22944 * r22944; float r22953 = r22945 / r22952; float r22954 = 1/3; float r22955 = r22954 / r22944; float r22956 = 1/2; float r22957 = r22955 - r22956; float r22958 = r22945 / r22944; float r22959 = fma(r22953, r22957, r22958); float r22960 = log1p(r22944); float r22961 = exp(r22960); float r22962 = r22961 / r22944; float r22963 = log(r22962); float r22964 = r22951 ? r22959 : r22963; return r22964; } double f_od(double N) { double r22965 = N; double r22966 = 1; double r22967 = r22965 + r22966; double r22968 = log(r22967); double r22969 = log(r22965); double r22970 = r22968 - r22969; double r22971 = 9.045593907618368e-32; bool r22972 = r22970 <= r22971; double r22973 = r22965 * r22965; double r22974 = r22966 / r22973; double r22975 = 1/3; double r22976 = r22975 / r22965; double r22977 = 1/2; double r22978 = r22976 - r22977; double r22979 = r22966 / r22965; double r22980 = fma(r22974, r22978, r22979); double r22981 = log1p(r22965); double r22982 = exp(r22981); double r22983 = r22982 / r22965; double r22984 = log(r22983); double r22985 = r22972 ? r22980 : r22984; return r22985; } 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 r22986, r22987, r22988, r22989, r22990, r22991; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22986); mpfr_init_set_str(r22987, "1", 10, MPFR_RNDN); mpfr_init(r22988); mpfr_init(r22989); mpfr_init(r22990); mpfr_init(r22991); } double f_im(double N) { mpfr_set_d(r22986, N, MPFR_RNDN); ; mpfr_add(r22988, r22986, r22987, MPFR_RNDN); mpfr_log(r22989, r22988, MPFR_RNDN); mpfr_log(r22990, r22986, MPFR_RNDN); mpfr_sub(r22991, r22989, r22990, MPFR_RNDN); return mpfr_get_d(r22991, MPFR_RNDN); } static mpfr_t r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); 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_set_str(r22998, "9.045593907618368e-32", 10, MPFR_RNDN); mpfr_init(r22999); mpfr_init(r23000); mpfr_init(r23001); mpfr_init_set_str(r23002, "1/3", 10, MPFR_RNDN); mpfr_init(r23003); mpfr_init_set_str(r23004, "1/2", 10, MPFR_RNDN); mpfr_init(r23005); mpfr_init(r23006); mpfr_init(r23007); mpfr_init(r23008); mpfr_init(r23009); mpfr_init(r23010); mpfr_init(r23011); mpfr_init(r23012); } double f_fm(double N) { mpfr_set_d(r22992, N, MPFR_RNDN); ; mpfr_add(r22994, r22992, r22993, MPFR_RNDN); mpfr_log(r22995, r22994, MPFR_RNDN); mpfr_log(r22996, r22992, MPFR_RNDN); mpfr_sub(r22997, r22995, r22996, MPFR_RNDN); ; mpfr_set_si(r22999, mpfr_cmp(r22997, r22998) <= 0, MPFR_RNDN); mpfr_mul(r23000, r22992, r22992, MPFR_RNDN); mpfr_div(r23001, r22993, r23000, MPFR_RNDN); ; mpfr_div(r23003, r23002, r22992, MPFR_RNDN); ; mpfr_sub(r23005, r23003, r23004, MPFR_RNDN); mpfr_div(r23006, r22993, r22992, MPFR_RNDN); mpfr_fma(r23007, r23001, r23005, r23006, MPFR_RNDN); mpfr_log1p(r23008, r22992, MPFR_RNDN); mpfr_exp(r23009, r23008, MPFR_RNDN); mpfr_div(r23010, r23009, r22992, MPFR_RNDN); mpfr_log(r23011, r23010, MPFR_RNDN); if (mpfr_get_si(r22999, MPFR_RNDN)) { mpfr_set(r23012, r23007, MPFR_RNDN); } else { mpfr_set(r23012, r23011, MPFR_RNDN); }; return mpfr_get_d(r23012, MPFR_RNDN); } static mpfr_t r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r23013); mpfr_init_set_str(r23014, "1", 10, MPFR_RNDN); mpfr_init(r23015); mpfr_init(r23016); mpfr_init(r23017); mpfr_init(r23018); mpfr_init_set_str(r23019, "9.045593907618368e-32", 10, MPFR_RNDN); mpfr_init(r23020); mpfr_init(r23021); mpfr_init(r23022); mpfr_init_set_str(r23023, "1/3", 10, MPFR_RNDN); mpfr_init(r23024); mpfr_init_set_str(r23025, "1/2", 10, MPFR_RNDN); mpfr_init(r23026); mpfr_init(r23027); mpfr_init(r23028); mpfr_init(r23029); mpfr_init(r23030); mpfr_init(r23031); mpfr_init(r23032); mpfr_init(r23033); } double f_dm(double N) { mpfr_set_d(r23013, N, MPFR_RNDN); ; mpfr_add(r23015, r23013, r23014, MPFR_RNDN); mpfr_log(r23016, r23015, MPFR_RNDN); mpfr_log(r23017, r23013, MPFR_RNDN); mpfr_sub(r23018, r23016, r23017, MPFR_RNDN); ; mpfr_set_si(r23020, mpfr_cmp(r23018, r23019) <= 0, MPFR_RNDN); mpfr_mul(r23021, r23013, r23013, MPFR_RNDN); mpfr_div(r23022, r23014, r23021, MPFR_RNDN); ; mpfr_div(r23024, r23023, r23013, MPFR_RNDN); ; mpfr_sub(r23026, r23024, r23025, MPFR_RNDN); mpfr_div(r23027, r23014, r23013, MPFR_RNDN); mpfr_fma(r23028, r23022, r23026, r23027, MPFR_RNDN); mpfr_log1p(r23029, r23013, MPFR_RNDN); mpfr_exp(r23030, r23029, MPFR_RNDN); mpfr_div(r23031, r23030, r23013, MPFR_RNDN); mpfr_log(r23032, r23031, MPFR_RNDN); if (mpfr_get_si(r23020, MPFR_RNDN)) { mpfr_set(r23033, r23028, MPFR_RNDN); } else { mpfr_set(r23033, r23032, MPFR_RNDN); }; return mpfr_get_d(r23033, MPFR_RNDN); }