#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 = r14971 * (r14971 * r14971); float r14973 = r14972 * r14972; float r14974 = sin(r14969); float r14975 = sin(r14967); float r14976 = r14974 * r14975; float r14977 = r14970 + r14976; float r14978 = r14977 * (r14977 * r14977); float r14979 = r14978 * r14978; float r14980 = r14973 - r14979; float r14981 = r14972 + r14978; float r14982 = r14980 / r14981; float r14983 = r14970 * r14968; float r14984 = r14983 * r14983; float r14985 = r14976 + r14970; float r14986 = r14985 * r14985; float r14987 = r14983 * r14985; float r14988 = r14986 + r14987; float r14989 = r14984 + r14988; float r14990 = r14982 / r14989; return r14990; } double f_od(double x, double eps) { double r14991 = eps; double r14992 = cos(r14991); double r14993 = x; double r14994 = cos(r14993); double r14995 = r14992 * r14994; double r14996 = r14995 * (r14995 * r14995); double r14997 = r14996 * r14996; double r14998 = sin(r14993); double r14999 = sin(r14991); double r15000 = r14998 * r14999; double r15001 = r14994 + r15000; double r15002 = r15001 * (r15001 * r15001); double r15003 = r15002 * r15002; double r15004 = r14997 - r15003; double r15005 = r14996 + r15002; double r15006 = r15004 / r15005; double r15007 = r14994 * r14992; double r15008 = r15007 * r15007; double r15009 = r15000 + r14994; 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, r15041, r15042, r15043, r15044; 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); mpfr_init(r15041); mpfr_init(r15042); mpfr_init(r15043); mpfr_init(r15044); } 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_sqr(r15027, r15026, MPFR_RNDN); mpfr_sin(r15028, r15023, MPFR_RNDN); mpfr_sin(r15029, r15021, MPFR_RNDN); mpfr_mul(r15030, r15028, r15029, MPFR_RNDN); mpfr_add(r15031, r15024, r15030, MPFR_RNDN); mpfr_mul(r15032, r15031, r15031, MPFR_RNDN); mpfr_mul(r15032, r15032, r15031, MPFR_RNDN); mpfr_sqr(r15033, r15032, MPFR_RNDN); mpfr_sub(r15034, r15027, r15033, MPFR_RNDN); mpfr_add(r15035, r15026, r15032, MPFR_RNDN); mpfr_div(r15036, r15034, r15035, MPFR_RNDN); mpfr_mul(r15037, r15024, r15022, MPFR_RNDN); mpfr_sqr(r15038, r15037, MPFR_RNDN); mpfr_add(r15039, r15030, r15024, MPFR_RNDN); mpfr_sqr(r15040, r15039, MPFR_RNDN); mpfr_mul(r15041, r15037, r15039, MPFR_RNDN); mpfr_add(r15042, r15040, r15041, MPFR_RNDN); mpfr_add(r15043, r15038, r15042, MPFR_RNDN); mpfr_div(r15044, r15036, r15043, MPFR_RNDN); return mpfr_get_d(r15044, MPFR_RNDN); } static mpfr_t r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054, r15055, r15056, r15057, r15058, r15059, r15060, r15061, r15062, r15063, r15064, r15065, r15066, r15067, r15068; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); 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); mpfr_init(r15061); mpfr_init(r15062); mpfr_init(r15063); mpfr_init(r15064); mpfr_init(r15065); mpfr_init(r15066); mpfr_init(r15067); mpfr_init(r15068); } double f_dm(double x, double eps) { mpfr_set_d(r15045, eps, MPFR_RNDN); mpfr_cos(r15046, r15045, MPFR_RNDN); mpfr_set_d(r15047, x, MPFR_RNDN); mpfr_cos(r15048, r15047, MPFR_RNDN); mpfr_mul(r15049, r15046, r15048, MPFR_RNDN); mpfr_mul(r15050, r15049, r15049, MPFR_RNDN); mpfr_mul(r15050, r15050, r15049, MPFR_RNDN); mpfr_sqr(r15051, r15050, MPFR_RNDN); mpfr_sin(r15052, r15047, MPFR_RNDN); mpfr_sin(r15053, r15045, MPFR_RNDN); mpfr_mul(r15054, r15052, r15053, MPFR_RNDN); mpfr_add(r15055, r15048, r15054, MPFR_RNDN); mpfr_mul(r15056, r15055, r15055, MPFR_RNDN); mpfr_mul(r15056, r15056, r15055, MPFR_RNDN); mpfr_sqr(r15057, r15056, MPFR_RNDN); mpfr_sub(r15058, r15051, r15057, MPFR_RNDN); mpfr_add(r15059, r15050, r15056, MPFR_RNDN); mpfr_div(r15060, r15058, r15059, MPFR_RNDN); mpfr_mul(r15061, r15048, r15046, MPFR_RNDN); mpfr_sqr(r15062, r15061, MPFR_RNDN); mpfr_add(r15063, r15054, r15048, MPFR_RNDN); mpfr_sqr(r15064, r15063, MPFR_RNDN); mpfr_mul(r15065, r15061, r15063, MPFR_RNDN); mpfr_add(r15066, r15064, r15065, MPFR_RNDN); mpfr_add(r15067, r15062, r15066, MPFR_RNDN); mpfr_div(r15068, r15060, r15067, MPFR_RNDN); return mpfr_get_d(r15068, MPFR_RNDN); }