#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r14943 = x; float r14944 = eps; float r14945 = r14943 + r14944; float r14946 = cos(r14945); float r14947 = cos(r14943); float r14948 = r14946 - r14947; return r14948; } double f_id(double x, double eps) { double r14949 = x; double r14950 = eps; double r14951 = r14949 + r14950; double r14952 = cos(r14951); double r14953 = cos(r14949); double r14954 = r14952 - r14953; return r14954; } double f_of(float x, float eps) { float r14955 = eps; float r14956 = cos(r14955); float r14957 = x; float r14958 = cos(r14957); float r14959 = r14956 * r14958; float r14960 = r14959 * (r14959 * r14959); float r14961 = sin(r14957); float r14962 = sin(r14955); float r14963 = r14961 * r14962; float r14964 = r14963 * (r14963 * r14963); float r14965 = r14960 - r14964; float r14966 = r14958 * r14956; float r14967 = r14966 * r14966; float r14968 = r14963 * r14963; float r14969 = r14966 * r14963; float r14970 = r14968 + r14969; float r14971 = r14967 + r14970; float r14972 = r14965 / r14971; float r14973 = r14972 - r14958; return r14973; } double f_od(double x, double eps) { double r14974 = eps; double r14975 = cos(r14974); double r14976 = x; double r14977 = cos(r14976); double r14978 = r14975 * r14977; double r14979 = r14978 * (r14978 * r14978); double r14980 = sin(r14976); double r14981 = sin(r14974); double r14982 = r14980 * r14981; double r14983 = r14982 * (r14982 * r14982); double r14984 = r14979 - r14983; double r14985 = r14977 * r14975; double r14986 = r14985 * r14985; double r14987 = r14982 * r14982; double r14988 = r14985 * r14982; double r14989 = r14987 + r14988; double r14990 = r14986 + r14989; double r14991 = r14984 / r14990; double r14992 = r14991 - r14977; return r14992; } 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 r14993, r14994, r14995, r14996, r14997, r14998; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r14993); mpfr_init(r14994); mpfr_init(r14995); mpfr_init(r14996); mpfr_init(r14997); mpfr_init(r14998); } double f_im(double x, double eps) { mpfr_set_d(r14993, x, MPFR_RNDN); mpfr_set_d(r14994, eps, MPFR_RNDN); mpfr_add(r14995, r14993, r14994, MPFR_RNDN); mpfr_cos(r14996, r14995, MPFR_RNDN); mpfr_cos(r14997, r14993, MPFR_RNDN); mpfr_sub(r14998, r14996, r14997, MPFR_RNDN); return mpfr_get_d(r14998, MPFR_RNDN); } static mpfr_t r14999, r15000, r15001, r15002, r15003, r15004, r15005, r15006, r15007, r15008, r15009, r15010, r15011, r15012, r15013, r15014, r15015, r15016, r15017; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r14999); mpfr_init(r15000); mpfr_init(r15001); mpfr_init(r15002); mpfr_init(r15003); mpfr_init(r15004); mpfr_init(r15005); mpfr_init(r15006); mpfr_init(r15007); mpfr_init(r15008); mpfr_init(r15009); mpfr_init(r15010); mpfr_init(r15011); mpfr_init(r15012); mpfr_init(r15013); mpfr_init(r15014); mpfr_init(r15015); mpfr_init(r15016); mpfr_init(r15017); } double f_fm(double x, double eps) { mpfr_set_d(r14999, eps, MPFR_RNDN); mpfr_cos(r15000, r14999, MPFR_RNDN); mpfr_set_d(r15001, x, MPFR_RNDN); mpfr_cos(r15002, r15001, MPFR_RNDN); mpfr_mul(r15003, r15000, r15002, MPFR_RNDN); mpfr_mul(r15004, r15003, r15003, MPFR_RNDN); mpfr_mul(r15004, r15004, r15003, MPFR_RNDN); mpfr_sin(r15005, r15001, MPFR_RNDN); mpfr_sin(r15006, r14999, MPFR_RNDN); mpfr_mul(r15007, r15005, r15006, MPFR_RNDN); mpfr_mul(r15008, r15007, r15007, MPFR_RNDN); mpfr_mul(r15008, r15008, r15007, MPFR_RNDN); mpfr_sub(r15009, r15004, r15008, MPFR_RNDN); mpfr_mul(r15010, r15002, r15000, MPFR_RNDN); mpfr_sqr(r15011, r15010, MPFR_RNDN); mpfr_sqr(r15012, r15007, MPFR_RNDN); mpfr_mul(r15013, r15010, r15007, MPFR_RNDN); mpfr_add(r15014, r15012, r15013, MPFR_RNDN); mpfr_add(r15015, r15011, r15014, MPFR_RNDN); mpfr_div(r15016, r15009, r15015, MPFR_RNDN); mpfr_sub(r15017, r15016, r15002, MPFR_RNDN); return mpfr_get_d(r15017, MPFR_RNDN); } static mpfr_t r15018, r15019, r15020, r15021, r15022, r15023, r15024, r15025, r15026, r15027, r15028, r15029, r15030, r15031, r15032, r15033, r15034, r15035, r15036; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15018); mpfr_init(r15019); mpfr_init(r15020); mpfr_init(r15021); mpfr_init(r15022); mpfr_init(r15023); mpfr_init(r15024); mpfr_init(r15025); mpfr_init(r15026); mpfr_init(r15027); mpfr_init(r15028); mpfr_init(r15029); mpfr_init(r15030); mpfr_init(r15031); mpfr_init(r15032); mpfr_init(r15033); mpfr_init(r15034); mpfr_init(r15035); mpfr_init(r15036); } double f_dm(double x, double eps) { mpfr_set_d(r15018, eps, MPFR_RNDN); mpfr_cos(r15019, r15018, MPFR_RNDN); mpfr_set_d(r15020, x, MPFR_RNDN); mpfr_cos(r15021, r15020, MPFR_RNDN); mpfr_mul(r15022, r15019, r15021, MPFR_RNDN); mpfr_mul(r15023, r15022, r15022, MPFR_RNDN); mpfr_mul(r15023, r15023, r15022, MPFR_RNDN); mpfr_sin(r15024, r15020, MPFR_RNDN); mpfr_sin(r15025, r15018, MPFR_RNDN); mpfr_mul(r15026, r15024, r15025, MPFR_RNDN); mpfr_mul(r15027, r15026, r15026, MPFR_RNDN); mpfr_mul(r15027, r15027, r15026, MPFR_RNDN); mpfr_sub(r15028, r15023, r15027, MPFR_RNDN); mpfr_mul(r15029, r15021, r15019, MPFR_RNDN); mpfr_sqr(r15030, r15029, MPFR_RNDN); mpfr_sqr(r15031, r15026, MPFR_RNDN); mpfr_mul(r15032, r15029, r15026, MPFR_RNDN); mpfr_add(r15033, r15031, r15032, MPFR_RNDN); mpfr_add(r15034, r15030, r15033, MPFR_RNDN); mpfr_div(r15035, r15028, r15034, MPFR_RNDN); mpfr_sub(r15036, r15035, r15021, MPFR_RNDN); return mpfr_get_d(r15036, MPFR_RNDN); }