#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 = r14991 + r14986; float r14998 = r14997 * r14997; float r14999 = r14995 * r14997; float r15000 = r14998 + r14999; float r15001 = r14996 + r15000; float r15002 = r14994 / r15001; return r15002; } double f_od(double x, double eps) { double r15003 = eps; double r15004 = cos(r15003); double r15005 = x; double r15006 = cos(r15005); double r15007 = r15004 * r15006; double r15008 = r15007 * (r15007 * r15007); double r15009 = sin(r15005); double r15010 = sin(r15003); double r15011 = r15009 * r15010; double r15012 = r15006 + r15011; double r15013 = r15012 * (r15012 * r15012); double r15014 = r15008 - r15013; double r15015 = r15006 * r15004; double r15016 = r15015 * r15015; double r15017 = r15011 + r15006; double r15018 = r15017 * r15017; double r15019 = r15015 * r15017; double r15020 = r15018 + r15019; double r15021 = r15016 + r15020; double r15022 = r15014 / r15021; return r15022; } 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 r15023, r15024, r15025, r15026, r15027, r15028; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15023); mpfr_init(r15024); mpfr_init(r15025); mpfr_init(r15026); mpfr_init(r15027); mpfr_init(r15028); } double f_im(double x, double eps) { mpfr_set_d(r15023, x, MPFR_RNDN); mpfr_set_d(r15024, eps, MPFR_RNDN); mpfr_add(r15025, r15023, r15024, MPFR_RNDN); mpfr_cos(r15026, r15025, MPFR_RNDN); mpfr_cos(r15027, r15023, MPFR_RNDN); mpfr_sub(r15028, r15026, r15027, MPFR_RNDN); return mpfr_get_d(r15028, MPFR_RNDN); } static mpfr_t r15029, r15030, r15031, r15032, r15033, r15034, r15035, r15036, r15037, r15038, r15039, r15040, r15041, r15042, r15043, r15044, r15045, r15046, r15047, r15048; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); 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); mpfr_init(r15045); mpfr_init(r15046); mpfr_init(r15047); mpfr_init(r15048); } double f_fm(double x, double eps) { mpfr_set_d(r15029, eps, MPFR_RNDN); mpfr_cos(r15030, r15029, MPFR_RNDN); mpfr_set_d(r15031, x, MPFR_RNDN); mpfr_cos(r15032, r15031, MPFR_RNDN); mpfr_mul(r15033, r15030, r15032, MPFR_RNDN); mpfr_mul(r15034, r15033, r15033, MPFR_RNDN); mpfr_mul(r15034, r15034, r15033, MPFR_RNDN); mpfr_sin(r15035, r15031, MPFR_RNDN); mpfr_sin(r15036, r15029, MPFR_RNDN); mpfr_mul(r15037, r15035, r15036, MPFR_RNDN); mpfr_add(r15038, r15032, r15037, MPFR_RNDN); mpfr_mul(r15039, r15038, r15038, MPFR_RNDN); mpfr_mul(r15039, r15039, r15038, MPFR_RNDN); mpfr_sub(r15040, r15034, r15039, MPFR_RNDN); mpfr_mul(r15041, r15032, r15030, MPFR_RNDN); mpfr_sqr(r15042, r15041, MPFR_RNDN); mpfr_add(r15043, r15037, r15032, MPFR_RNDN); mpfr_sqr(r15044, r15043, MPFR_RNDN); mpfr_mul(r15045, r15041, r15043, MPFR_RNDN); mpfr_add(r15046, r15044, r15045, MPFR_RNDN); mpfr_add(r15047, r15042, r15046, MPFR_RNDN); mpfr_div(r15048, r15040, r15047, MPFR_RNDN); return mpfr_get_d(r15048, MPFR_RNDN); } static mpfr_t 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(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(r15049, eps, MPFR_RNDN); mpfr_cos(r15050, r15049, MPFR_RNDN); mpfr_set_d(r15051, x, MPFR_RNDN); mpfr_cos(r15052, r15051, MPFR_RNDN); mpfr_mul(r15053, r15050, r15052, MPFR_RNDN); mpfr_mul(r15054, r15053, r15053, MPFR_RNDN); mpfr_mul(r15054, r15054, r15053, MPFR_RNDN); mpfr_sin(r15055, r15051, MPFR_RNDN); mpfr_sin(r15056, r15049, MPFR_RNDN); mpfr_mul(r15057, r15055, r15056, MPFR_RNDN); mpfr_add(r15058, r15052, r15057, MPFR_RNDN); mpfr_mul(r15059, r15058, r15058, MPFR_RNDN); mpfr_mul(r15059, r15059, r15058, MPFR_RNDN); mpfr_sub(r15060, r15054, r15059, MPFR_RNDN); mpfr_mul(r15061, r15052, r15050, MPFR_RNDN); mpfr_sqr(r15062, r15061, MPFR_RNDN); mpfr_add(r15063, r15057, r15052, 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); }