#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r14963 = x; float r14964 = eps; float r14965 = r14963 + r14964; float r14966 = cos(r14965); float r14967 = cos(r14963); float r14968 = r14966 - r14967; return r14968; } double f_id(double x, double eps) { double r14969 = x; double r14970 = eps; double r14971 = r14969 + r14970; double r14972 = cos(r14971); double r14973 = cos(r14969); double r14974 = r14972 - r14973; return r14974; } double f_of(float x, float eps) { float r14975 = eps; float r14976 = cos(r14975); float r14977 = x; float r14978 = cos(r14977); float r14979 = r14976 * r14978; float r14980 = r14979 * (r14979 * r14979); float r14981 = sin(r14977); float r14982 = sin(r14975); float r14983 = r14981 * r14982; float r14984 = r14978 + r14983; float r14985 = r14984 * (r14984 * r14984); float r14986 = r14980 - r14985; float r14987 = r14978 * r14976; float r14988 = r14987 * r14987; float r14989 = r14983 + r14978; float r14990 = r14989 * r14989; float r14991 = r14987 * r14989; float r14992 = r14990 + r14991; float r14993 = r14988 + r14992; float r14994 = r14986 / r14993; return r14994; } double f_od(double x, double eps) { double r14995 = eps; double r14996 = cos(r14995); double r14997 = x; double r14998 = cos(r14997); double r14999 = r14996 * r14998; double r15000 = r14999 * (r14999 * r14999); double r15001 = sin(r14997); double r15002 = sin(r14995); double r15003 = r15001 * r15002; double r15004 = r14998 + r15003; double r15005 = r15004 * (r15004 * r15004); double r15006 = r15000 - r15005; double r15007 = r14998 * r14996; double r15008 = r15007 * r15007; double r15009 = r15003 + r14998; double r15010 = r15009 * r15009; double r15011 = r15007 * r15009; double r15012 = r15010 + r15011; double r15013 = r15008 + r15012; double r15014 = r15006 / r15013; return r15014; } 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 r15015, r15016, r15017, r15018, r15019, r15020; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15015); mpfr_init(r15016); mpfr_init(r15017); mpfr_init(r15018); mpfr_init(r15019); mpfr_init(r15020); } double f_im(double x, double eps) { mpfr_set_d(r15015, x, MPFR_RNDN); mpfr_set_d(r15016, eps, MPFR_RNDN); mpfr_add(r15017, r15015, r15016, MPFR_RNDN); mpfr_cos(r15018, r15017, MPFR_RNDN); mpfr_cos(r15019, r15015, MPFR_RNDN); mpfr_sub(r15020, r15018, r15019, MPFR_RNDN); return mpfr_get_d(r15020, MPFR_RNDN); } static mpfr_t r15021, r15022, r15023, r15024, r15025, r15026, r15027, r15028, r15029, r15030, r15031, r15032, r15033, r15034, r15035, r15036, r15037, r15038, r15039, r15040; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); 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); mpfr_init(r15037); mpfr_init(r15038); mpfr_init(r15039); mpfr_init(r15040); } double f_fm(double x, double eps) { mpfr_set_d(r15021, eps, MPFR_RNDN); mpfr_cos(r15022, r15021, MPFR_RNDN); mpfr_set_d(r15023, x, MPFR_RNDN); mpfr_cos(r15024, r15023, MPFR_RNDN); mpfr_mul(r15025, r15022, r15024, MPFR_RNDN); mpfr_mul(r15026, r15025, r15025, MPFR_RNDN); mpfr_mul(r15026, r15026, r15025, MPFR_RNDN); mpfr_sin(r15027, r15023, MPFR_RNDN); mpfr_sin(r15028, r15021, MPFR_RNDN); mpfr_mul(r15029, r15027, r15028, MPFR_RNDN); mpfr_add(r15030, r15024, r15029, MPFR_RNDN); mpfr_mul(r15031, r15030, r15030, MPFR_RNDN); mpfr_mul(r15031, r15031, r15030, MPFR_RNDN); mpfr_sub(r15032, r15026, r15031, MPFR_RNDN); mpfr_mul(r15033, r15024, r15022, MPFR_RNDN); mpfr_sqr(r15034, r15033, MPFR_RNDN); mpfr_add(r15035, r15029, r15024, MPFR_RNDN); mpfr_sqr(r15036, r15035, MPFR_RNDN); mpfr_mul(r15037, r15033, r15035, MPFR_RNDN); mpfr_add(r15038, r15036, r15037, MPFR_RNDN); mpfr_add(r15039, r15034, r15038, MPFR_RNDN); mpfr_div(r15040, r15032, r15039, MPFR_RNDN); return mpfr_get_d(r15040, MPFR_RNDN); } static mpfr_t r15041, r15042, r15043, r15044, r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054, r15055, r15056, r15057, r15058, r15059, r15060; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); 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); mpfr_init(r15057); mpfr_init(r15058); mpfr_init(r15059); mpfr_init(r15060); } double f_dm(double x, double eps) { mpfr_set_d(r15041, eps, MPFR_RNDN); mpfr_cos(r15042, r15041, MPFR_RNDN); mpfr_set_d(r15043, x, MPFR_RNDN); mpfr_cos(r15044, r15043, MPFR_RNDN); mpfr_mul(r15045, r15042, r15044, MPFR_RNDN); mpfr_mul(r15046, r15045, r15045, MPFR_RNDN); mpfr_mul(r15046, r15046, r15045, MPFR_RNDN); mpfr_sin(r15047, r15043, MPFR_RNDN); mpfr_sin(r15048, r15041, MPFR_RNDN); mpfr_mul(r15049, r15047, r15048, MPFR_RNDN); mpfr_add(r15050, r15044, r15049, MPFR_RNDN); mpfr_mul(r15051, r15050, r15050, MPFR_RNDN); mpfr_mul(r15051, r15051, r15050, MPFR_RNDN); mpfr_sub(r15052, r15046, r15051, MPFR_RNDN); mpfr_mul(r15053, r15044, r15042, MPFR_RNDN); mpfr_sqr(r15054, r15053, MPFR_RNDN); mpfr_add(r15055, r15049, r15044, MPFR_RNDN); mpfr_sqr(r15056, r15055, MPFR_RNDN); mpfr_mul(r15057, r15053, r15055, MPFR_RNDN); mpfr_add(r15058, r15056, r15057, MPFR_RNDN); mpfr_add(r15059, r15054, r15058, MPFR_RNDN); mpfr_div(r15060, r15052, r15059, MPFR_RNDN); return mpfr_get_d(r15060, MPFR_RNDN); }