#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 = r14988 * r14988; float r14990 = sin(r14985); float r14991 = sin(r14983); float r14992 = r14990 * r14991; float r14993 = r14986 + r14992; float r14994 = r14993 * (r14993 * r14993); float r14995 = r14994 * r14994; float r14996 = r14989 - r14995; float r14997 = r14988 + r14994; float r14998 = r14996 / r14997; float r14999 = r14986 * r14984; float r15000 = r14999 * r14999; float r15001 = r14992 + r14986; float r15002 = r15001 * r15001; float r15003 = r14999 * r15001; float r15004 = r15002 + r15003; float r15005 = r15000 + r15004; float r15006 = r14998 / r15005; return r15006; } double f_od(double x, double eps) { double r15007 = eps; double r15008 = cos(r15007); double r15009 = x; double r15010 = cos(r15009); double r15011 = r15008 * r15010; double r15012 = r15011 * (r15011 * r15011); double r15013 = r15012 * r15012; double r15014 = sin(r15009); double r15015 = sin(r15007); double r15016 = r15014 * r15015; double r15017 = r15010 + r15016; double r15018 = r15017 * (r15017 * r15017); double r15019 = r15018 * r15018; double r15020 = r15013 - r15019; double r15021 = r15012 + r15018; double r15022 = r15020 / r15021; double r15023 = r15010 * r15008; double r15024 = r15023 * r15023; double r15025 = r15016 + r15010; double r15026 = r15025 * r15025; double r15027 = r15023 * r15025; double r15028 = r15026 + r15027; double r15029 = r15024 + r15028; double r15030 = r15022 / r15029; return r15030; } 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 r15031, r15032, r15033, r15034, r15035, r15036; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15031); mpfr_init(r15032); mpfr_init(r15033); mpfr_init(r15034); mpfr_init(r15035); mpfr_init(r15036); } double f_im(double x, double eps) { mpfr_set_d(r15031, x, MPFR_RNDN); mpfr_set_d(r15032, eps, MPFR_RNDN); mpfr_add(r15033, r15031, r15032, MPFR_RNDN); mpfr_cos(r15034, r15033, MPFR_RNDN); mpfr_cos(r15035, r15031, MPFR_RNDN); mpfr_sub(r15036, r15034, r15035, MPFR_RNDN); return mpfr_get_d(r15036, MPFR_RNDN); } static mpfr_t r15037, r15038, r15039, r15040, r15041, r15042, r15043, r15044, r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054, r15055, r15056, r15057, r15058, r15059, r15060; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); 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); mpfr_init(r15057); mpfr_init(r15058); mpfr_init(r15059); mpfr_init(r15060); } double f_fm(double x, double eps) { mpfr_set_d(r15037, eps, MPFR_RNDN); mpfr_cos(r15038, r15037, MPFR_RNDN); mpfr_set_d(r15039, x, MPFR_RNDN); mpfr_cos(r15040, r15039, MPFR_RNDN); mpfr_mul(r15041, r15038, r15040, MPFR_RNDN); mpfr_mul(r15042, r15041, r15041, MPFR_RNDN); mpfr_mul(r15042, r15042, r15041, MPFR_RNDN); mpfr_sqr(r15043, r15042, MPFR_RNDN); mpfr_sin(r15044, r15039, MPFR_RNDN); mpfr_sin(r15045, r15037, MPFR_RNDN); mpfr_mul(r15046, r15044, r15045, MPFR_RNDN); mpfr_add(r15047, r15040, r15046, MPFR_RNDN); mpfr_mul(r15048, r15047, r15047, MPFR_RNDN); mpfr_mul(r15048, r15048, r15047, MPFR_RNDN); mpfr_sqr(r15049, r15048, MPFR_RNDN); mpfr_sub(r15050, r15043, r15049, MPFR_RNDN); mpfr_add(r15051, r15042, r15048, MPFR_RNDN); mpfr_div(r15052, r15050, r15051, MPFR_RNDN); mpfr_mul(r15053, r15040, r15038, MPFR_RNDN); mpfr_sqr(r15054, r15053, MPFR_RNDN); mpfr_add(r15055, r15046, r15040, 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); } static mpfr_t r15061, r15062, r15063, r15064, r15065, r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076, r15077, r15078, r15079, r15080, r15081, r15082, r15083, r15084; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); 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); mpfr_init(r15077); mpfr_init(r15078); mpfr_init(r15079); mpfr_init(r15080); mpfr_init(r15081); mpfr_init(r15082); mpfr_init(r15083); mpfr_init(r15084); } double f_dm(double x, double eps) { mpfr_set_d(r15061, eps, MPFR_RNDN); mpfr_cos(r15062, r15061, MPFR_RNDN); mpfr_set_d(r15063, x, MPFR_RNDN); mpfr_cos(r15064, r15063, MPFR_RNDN); mpfr_mul(r15065, r15062, r15064, MPFR_RNDN); mpfr_mul(r15066, r15065, r15065, MPFR_RNDN); mpfr_mul(r15066, r15066, r15065, MPFR_RNDN); mpfr_sqr(r15067, r15066, MPFR_RNDN); mpfr_sin(r15068, r15063, MPFR_RNDN); mpfr_sin(r15069, r15061, MPFR_RNDN); mpfr_mul(r15070, r15068, r15069, MPFR_RNDN); mpfr_add(r15071, r15064, r15070, MPFR_RNDN); mpfr_mul(r15072, r15071, r15071, MPFR_RNDN); mpfr_mul(r15072, r15072, r15071, MPFR_RNDN); mpfr_sqr(r15073, r15072, MPFR_RNDN); mpfr_sub(r15074, r15067, r15073, MPFR_RNDN); mpfr_add(r15075, r15066, r15072, MPFR_RNDN); mpfr_div(r15076, r15074, r15075, MPFR_RNDN); mpfr_mul(r15077, r15064, r15062, MPFR_RNDN); mpfr_sqr(r15078, r15077, MPFR_RNDN); mpfr_add(r15079, r15070, r15064, MPFR_RNDN); mpfr_sqr(r15080, r15079, MPFR_RNDN); mpfr_mul(r15081, r15077, r15079, MPFR_RNDN); mpfr_add(r15082, r15080, r15081, MPFR_RNDN); mpfr_add(r15083, r15078, r15082, MPFR_RNDN); mpfr_div(r15084, r15076, r15083, MPFR_RNDN); return mpfr_get_d(r15084, MPFR_RNDN); }