#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r14955 = x; float r14956 = eps; float r14957 = r14955 + r14956; float r14958 = cos(r14957); float r14959 = cos(r14955); float r14960 = r14958 - r14959; return r14960; } double f_id(double x, double eps) { double r14961 = x; double r14962 = eps; double r14963 = r14961 + r14962; double r14964 = cos(r14963); double r14965 = cos(r14961); double r14966 = r14964 - r14965; return r14966; } double f_of(float x, float eps) { float r14967 = eps; float r14968 = cos(r14967); float r14969 = x; float r14970 = cos(r14969); float r14971 = r14968 * r14970; float r14972 = sin(r14967); float r14973 = sin(r14969); float r14974 = r14972 * r14973; float r14975 = r14971 - r14974; float r14976 = r14975 * (r14975 * r14975); float r14977 = r14976 * r14976; float r14978 = r14970 * (r14970 * r14970); float r14979 = r14978 * r14978; float r14980 = r14977 - r14979; float r14981 = r14976 + r14978; float r14982 = r14980 / r14981; float r14983 = fma(r14968, r14970, r14970); float r14984 = r14983 - r14974; float r14985 = r14970 * r14970; float r14986 = fma(r14975, r14984, r14985); float r14987 = r14982 / r14986; return r14987; } double f_od(double x, double eps) { double r14988 = eps; double r14989 = cos(r14988); double r14990 = x; double r14991 = cos(r14990); double r14992 = r14989 * r14991; double r14993 = sin(r14988); double r14994 = sin(r14990); double r14995 = r14993 * r14994; double r14996 = r14992 - r14995; double r14997 = r14996 * (r14996 * r14996); double r14998 = r14997 * r14997; double r14999 = r14991 * (r14991 * r14991); double r15000 = r14999 * r14999; double r15001 = r14998 - r15000; double r15002 = r14997 + r14999; double r15003 = r15001 / r15002; double r15004 = fma(r14989, r14991, r14991); double r15005 = r15004 - r14995; double r15006 = r14991 * r14991; double r15007 = fma(r14996, r15005, r15006); double r15008 = r15003 / r15007; return r15008; } 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 r15009, r15010, r15011, r15012, r15013, r15014; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15009); mpfr_init(r15010); mpfr_init(r15011); mpfr_init(r15012); mpfr_init(r15013); mpfr_init(r15014); } double f_im(double x, double eps) { mpfr_set_d(r15009, x, MPFR_RNDN); mpfr_set_d(r15010, eps, MPFR_RNDN); mpfr_add(r15011, r15009, r15010, MPFR_RNDN); mpfr_cos(r15012, r15011, MPFR_RNDN); mpfr_cos(r15013, r15009, MPFR_RNDN); mpfr_sub(r15014, r15012, r15013, MPFR_RNDN); return mpfr_get_d(r15014, MPFR_RNDN); } static mpfr_t r15015, r15016, r15017, r15018, r15019, r15020, r15021, r15022, r15023, r15024, r15025, r15026, r15027, r15028, r15029, r15030, r15031, r15032, r15033, r15034, r15035; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15015); mpfr_init(r15016); mpfr_init(r15017); 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); } double f_fm(double x, double eps) { mpfr_set_d(r15015, eps, MPFR_RNDN); mpfr_cos(r15016, r15015, MPFR_RNDN); mpfr_set_d(r15017, x, MPFR_RNDN); mpfr_cos(r15018, r15017, MPFR_RNDN); mpfr_mul(r15019, r15016, r15018, MPFR_RNDN); mpfr_sin(r15020, r15015, MPFR_RNDN); mpfr_sin(r15021, r15017, MPFR_RNDN); mpfr_mul(r15022, r15020, r15021, MPFR_RNDN); mpfr_sub(r15023, r15019, r15022, MPFR_RNDN); mpfr_mul(r15024, r15023, r15023, MPFR_RNDN); mpfr_mul(r15024, r15024, r15023, MPFR_RNDN); mpfr_sqr(r15025, r15024, MPFR_RNDN); mpfr_mul(r15026, r15018, r15018, MPFR_RNDN); mpfr_mul(r15026, r15026, r15018, MPFR_RNDN); mpfr_sqr(r15027, r15026, MPFR_RNDN); mpfr_sub(r15028, r15025, r15027, MPFR_RNDN); mpfr_add(r15029, r15024, r15026, MPFR_RNDN); mpfr_div(r15030, r15028, r15029, MPFR_RNDN); mpfr_fma(r15031, r15016, r15018, r15018, MPFR_RNDN); mpfr_sub(r15032, r15031, r15022, MPFR_RNDN); mpfr_mul(r15033, r15018, r15018, MPFR_RNDN); mpfr_fma(r15034, r15023, r15032, r15033, MPFR_RNDN); mpfr_div(r15035, r15030, r15034, MPFR_RNDN); return mpfr_get_d(r15035, MPFR_RNDN); } static mpfr_t r15036, r15037, r15038, r15039, r15040, r15041, r15042, r15043, r15044, r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054, r15055, r15056; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15036); mpfr_init(r15037); mpfr_init(r15038); mpfr_init(r15039); mpfr_init(r15040); mpfr_init(r15041); mpfr_init(r15042); mpfr_init(r15043); mpfr_init(r15044); mpfr_init(r15045); mpfr_init(r15046); mpfr_init(r15047); mpfr_init(r15048); mpfr_init(r15049); mpfr_init(r15050); mpfr_init(r15051); mpfr_init(r15052); mpfr_init(r15053); mpfr_init(r15054); mpfr_init(r15055); mpfr_init(r15056); } double f_dm(double x, double eps) { mpfr_set_d(r15036, eps, MPFR_RNDN); mpfr_cos(r15037, r15036, MPFR_RNDN); mpfr_set_d(r15038, x, MPFR_RNDN); mpfr_cos(r15039, r15038, MPFR_RNDN); mpfr_mul(r15040, r15037, r15039, MPFR_RNDN); mpfr_sin(r15041, r15036, MPFR_RNDN); mpfr_sin(r15042, r15038, MPFR_RNDN); mpfr_mul(r15043, r15041, r15042, MPFR_RNDN); mpfr_sub(r15044, r15040, r15043, MPFR_RNDN); mpfr_mul(r15045, r15044, r15044, MPFR_RNDN); mpfr_mul(r15045, r15045, r15044, MPFR_RNDN); mpfr_sqr(r15046, r15045, MPFR_RNDN); mpfr_mul(r15047, r15039, r15039, MPFR_RNDN); mpfr_mul(r15047, r15047, r15039, MPFR_RNDN); mpfr_sqr(r15048, r15047, MPFR_RNDN); mpfr_sub(r15049, r15046, r15048, MPFR_RNDN); mpfr_add(r15050, r15045, r15047, MPFR_RNDN); mpfr_div(r15051, r15049, r15050, MPFR_RNDN); mpfr_fma(r15052, r15037, r15039, r15039, MPFR_RNDN); mpfr_sub(r15053, r15052, r15043, MPFR_RNDN); mpfr_mul(r15054, r15039, r15039, MPFR_RNDN); mpfr_fma(r15055, r15044, r15053, r15054, MPFR_RNDN); mpfr_div(r15056, r15051, r15055, MPFR_RNDN); return mpfr_get_d(r15056, MPFR_RNDN); }