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