#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r14971 = x; float r14972 = eps; float r14973 = r14971 + r14972; float r14974 = cos(r14973); float r14975 = cos(r14971); float r14976 = r14974 - r14975; return r14976; } double f_id(double x, double eps) { double r14977 = x; double r14978 = eps; double r14979 = r14977 + r14978; double r14980 = cos(r14979); double r14981 = cos(r14977); double r14982 = r14980 - r14981; return r14982; } double f_of(float x, float eps) { float r14983 = eps; float r14984 = cos(r14983); float r14985 = x; float r14986 = cos(r14985); float r14987 = r14984 * r14986; float r14988 = r14987 * (r14987 * r14987); float r14989 = sin(r14985); float r14990 = sin(r14983); float r14991 = r14989 * r14990; float r14992 = r14986 + r14991; float r14993 = r14992 * (r14992 * r14992); float r14994 = r14988 - r14993; float r14995 = r14986 * r14984; float r14996 = r14995 * r14995; float r14997 = exp(r14996); float r14998 = log(r14997); float r14999 = r14991 + r14986; float r15000 = r14999 * r14999; float r15001 = r14995 * r14999; float r15002 = r15000 + r15001; float r15003 = r14998 + r15002; float r15004 = r14994 / r15003; return r15004; } double f_od(double x, double eps) { double r15005 = eps; double r15006 = cos(r15005); double r15007 = x; double r15008 = cos(r15007); double r15009 = r15006 * r15008; double r15010 = r15009 * (r15009 * r15009); double r15011 = sin(r15007); double r15012 = sin(r15005); double r15013 = r15011 * r15012; double r15014 = r15008 + r15013; double r15015 = r15014 * (r15014 * r15014); double r15016 = r15010 - r15015; double r15017 = r15008 * r15006; double r15018 = r15017 * r15017; double r15019 = exp(r15018); double r15020 = log(r15019); double r15021 = r15013 + r15008; double r15022 = r15021 * r15021; double r15023 = r15017 * r15021; double r15024 = r15022 + r15023; double r15025 = r15020 + r15024; double r15026 = r15016 / r15025; return r15026; } 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 r15027, r15028, r15029, r15030, r15031, r15032; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15027); mpfr_init(r15028); mpfr_init(r15029); mpfr_init(r15030); mpfr_init(r15031); mpfr_init(r15032); } double f_im(double x, double eps) { mpfr_set_d(r15027, x, MPFR_RNDN); mpfr_set_d(r15028, eps, MPFR_RNDN); mpfr_add(r15029, r15027, r15028, MPFR_RNDN); mpfr_cos(r15030, r15029, MPFR_RNDN); mpfr_cos(r15031, r15027, MPFR_RNDN); mpfr_sub(r15032, r15030, r15031, MPFR_RNDN); return mpfr_get_d(r15032, MPFR_RNDN); } static mpfr_t r15033, r15034, r15035, r15036, r15037, r15038, r15039, r15040, r15041, r15042, r15043, r15044, r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); 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); 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); } double f_fm(double x, double eps) { mpfr_set_d(r15033, eps, MPFR_RNDN); mpfr_cos(r15034, r15033, MPFR_RNDN); mpfr_set_d(r15035, x, MPFR_RNDN); mpfr_cos(r15036, r15035, MPFR_RNDN); mpfr_mul(r15037, r15034, r15036, MPFR_RNDN); mpfr_mul(r15038, r15037, r15037, MPFR_RNDN); mpfr_mul(r15038, r15038, r15037, MPFR_RNDN); mpfr_sin(r15039, r15035, MPFR_RNDN); mpfr_sin(r15040, r15033, MPFR_RNDN); mpfr_mul(r15041, r15039, r15040, MPFR_RNDN); mpfr_add(r15042, r15036, r15041, MPFR_RNDN); mpfr_mul(r15043, r15042, r15042, MPFR_RNDN); mpfr_mul(r15043, r15043, r15042, MPFR_RNDN); mpfr_sub(r15044, r15038, r15043, MPFR_RNDN); mpfr_mul(r15045, r15036, r15034, MPFR_RNDN); mpfr_sqr(r15046, r15045, MPFR_RNDN); mpfr_exp(r15047, r15046, MPFR_RNDN); mpfr_log(r15048, r15047, MPFR_RNDN); mpfr_add(r15049, r15041, r15036, MPFR_RNDN); mpfr_sqr(r15050, r15049, MPFR_RNDN); mpfr_mul(r15051, r15045, r15049, MPFR_RNDN); mpfr_add(r15052, r15050, r15051, MPFR_RNDN); mpfr_add(r15053, r15048, r15052, MPFR_RNDN); mpfr_div(r15054, r15044, r15053, MPFR_RNDN); return mpfr_get_d(r15054, MPFR_RNDN); } static mpfr_t r15055, r15056, r15057, r15058, r15059, r15060, r15061, r15062, r15063, r15064, r15065, r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); 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); mpfr_init(r15069); mpfr_init(r15070); mpfr_init(r15071); mpfr_init(r15072); mpfr_init(r15073); mpfr_init(r15074); mpfr_init(r15075); mpfr_init(r15076); } double f_dm(double x, double eps) { mpfr_set_d(r15055, eps, MPFR_RNDN); mpfr_cos(r15056, r15055, MPFR_RNDN); mpfr_set_d(r15057, x, MPFR_RNDN); mpfr_cos(r15058, r15057, MPFR_RNDN); mpfr_mul(r15059, r15056, r15058, MPFR_RNDN); mpfr_mul(r15060, r15059, r15059, MPFR_RNDN); mpfr_mul(r15060, r15060, r15059, MPFR_RNDN); mpfr_sin(r15061, r15057, MPFR_RNDN); mpfr_sin(r15062, r15055, MPFR_RNDN); mpfr_mul(r15063, r15061, r15062, MPFR_RNDN); mpfr_add(r15064, r15058, r15063, MPFR_RNDN); mpfr_mul(r15065, r15064, r15064, MPFR_RNDN); mpfr_mul(r15065, r15065, r15064, MPFR_RNDN); mpfr_sub(r15066, r15060, r15065, MPFR_RNDN); mpfr_mul(r15067, r15058, r15056, MPFR_RNDN); mpfr_sqr(r15068, r15067, MPFR_RNDN); mpfr_exp(r15069, r15068, MPFR_RNDN); mpfr_log(r15070, r15069, MPFR_RNDN); mpfr_add(r15071, r15063, r15058, MPFR_RNDN); mpfr_sqr(r15072, r15071, MPFR_RNDN); mpfr_mul(r15073, r15067, r15071, MPFR_RNDN); mpfr_add(r15074, r15072, r15073, MPFR_RNDN); mpfr_add(r15075, r15070, r15074, MPFR_RNDN); mpfr_div(r15076, r15066, r15075, MPFR_RNDN); return mpfr_get_d(r15076, MPFR_RNDN); }