#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16972 = x; float r16973 = eps; float r16974 = r16972 + r16973; float r16975 = sin(r16974); float r16976 = sin(r16972); float r16977 = r16975 - r16976; return r16977; } double f_id(double x, double eps) { double r16978 = x; double r16979 = eps; double r16980 = r16978 + r16979; double r16981 = sin(r16980); double r16982 = sin(r16978); double r16983 = r16981 - r16982; return r16983; } double f_of(float x, float eps) { float r16984 = eps; float r16985 = -1.5876557880878384e-13f; bool r16986 = r16984 <= r16985; float r16987 = x; float r16988 = sin(r16987); float r16989 = cos(r16984); float r16990 = r16988 * r16989; float r16991 = r16990 * r16990; float r16992 = cos(r16987); float r16993 = sin(r16984); float r16994 = r16992 * r16993; float r16995 = r16994 - r16988; float r16996 = r16995 * r16995; float r16997 = r16991 - r16996; float r16998 = fma(r16989, r16988, r16988); float r16999 = r16993 * r16992; float r17000 = r16998 - r16999; float r17001 = r16997 / r17000; float r17002 = 1.9313832044564974e-20f; bool r17003 = r16984 <= r17002; float r17004 = r16987 * r16984; float r17005 = r16984 + r16987; float r17006 = r17004 * r17005; float r17007 = 0.5f; float r17008 = r17006 * r17007; float r17009 = r16984 - r17008; float r17010 = r17003 ? r17009 : r17001; float r17011 = r16986 ? r17001 : r17010; return r17011; } double f_od(double x, double eps) { double r17012 = eps; double r17013 = -1.5876557880878384e-13; bool r17014 = r17012 <= r17013; double r17015 = x; double r17016 = sin(r17015); double r17017 = cos(r17012); double r17018 = r17016 * r17017; double r17019 = r17018 * r17018; double r17020 = cos(r17015); double r17021 = sin(r17012); double r17022 = r17020 * r17021; double r17023 = r17022 - r17016; double r17024 = r17023 * r17023; double r17025 = r17019 - r17024; double r17026 = fma(r17017, r17016, r17016); double r17027 = r17021 * r17020; double r17028 = r17026 - r17027; double r17029 = r17025 / r17028; double r17030 = 1.9313832044564974e-20; bool r17031 = r17012 <= r17030; double r17032 = r17015 * r17012; double r17033 = r17012 + r17015; double r17034 = r17032 * r17033; double r17035 = 0.5; double r17036 = r17034 * r17035; double r17037 = r17012 - r17036; double r17038 = r17031 ? r17037 : r17029; double r17039 = r17014 ? r17029 : r17038; return r17039; } 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 r17040, r17041, r17042, r17043, r17044, r17045; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17040); mpfr_init(r17041); mpfr_init(r17042); mpfr_init(r17043); mpfr_init(r17044); mpfr_init(r17045); } double f_im(double x, double eps) { mpfr_set_d(r17040, x, MPFR_RNDN); mpfr_set_d(r17041, eps, MPFR_RNDN); mpfr_add(r17042, r17040, r17041, MPFR_RNDN); mpfr_sin(r17043, r17042, MPFR_RNDN); mpfr_sin(r17044, r17040, MPFR_RNDN); mpfr_sub(r17045, r17043, r17044, MPFR_RNDN); return mpfr_get_d(r17045, MPFR_RNDN); } static mpfr_t r17046, r17047, r17048, r17049, r17050, r17051, r17052, r17053, r17054, r17055, r17056, r17057, r17058, r17059, r17060, r17061, r17062, r17063, r17064, r17065, r17066, r17067, r17068, r17069, r17070, r17071, r17072, r17073; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17046); mpfr_init_set_str(r17047, "-1.5876558f-13", 10, MPFR_RNDN); mpfr_init(r17048); mpfr_init(r17049); mpfr_init(r17050); mpfr_init(r17051); mpfr_init(r17052); mpfr_init(r17053); mpfr_init(r17054); mpfr_init(r17055); mpfr_init(r17056); mpfr_init(r17057); mpfr_init(r17058); mpfr_init(r17059); mpfr_init(r17060); mpfr_init(r17061); mpfr_init(r17062); mpfr_init(r17063); mpfr_init_set_str(r17064, "1.9313832f-20", 10, MPFR_RNDN); mpfr_init(r17065); mpfr_init(r17066); mpfr_init(r17067); mpfr_init(r17068); mpfr_init_set_str(r17069, "1/2", 10, MPFR_RNDN); mpfr_init(r17070); mpfr_init(r17071); mpfr_init(r17072); mpfr_init(r17073); } double f_fm(double x, double eps) { mpfr_set_d(r17046, eps, MPFR_RNDN); ; mpfr_set_si(r17048, mpfr_cmp(r17046, r17047) <= 0, MPFR_RNDN); mpfr_set_d(r17049, x, MPFR_RNDN); mpfr_sin(r17050, r17049, MPFR_RNDN); mpfr_cos(r17051, r17046, MPFR_RNDN); mpfr_mul(r17052, r17050, r17051, MPFR_RNDN); mpfr_sqr(r17053, r17052, MPFR_RNDN); mpfr_cos(r17054, r17049, MPFR_RNDN); mpfr_sin(r17055, r17046, MPFR_RNDN); mpfr_mul(r17056, r17054, r17055, MPFR_RNDN); mpfr_sub(r17057, r17056, r17050, MPFR_RNDN); mpfr_sqr(r17058, r17057, MPFR_RNDN); mpfr_sub(r17059, r17053, r17058, MPFR_RNDN); mpfr_fma(r17060, r17051, r17050, r17050, MPFR_RNDN); mpfr_mul(r17061, r17055, r17054, MPFR_RNDN); mpfr_sub(r17062, r17060, r17061, MPFR_RNDN); mpfr_div(r17063, r17059, r17062, MPFR_RNDN); ; mpfr_set_si(r17065, mpfr_cmp(r17046, r17064) <= 0, MPFR_RNDN); mpfr_mul(r17066, r17049, r17046, MPFR_RNDN); mpfr_add(r17067, r17046, r17049, MPFR_RNDN); mpfr_mul(r17068, r17066, r17067, MPFR_RNDN); ; mpfr_mul(r17070, r17068, r17069, MPFR_RNDN); mpfr_sub(r17071, r17046, r17070, MPFR_RNDN); if (mpfr_get_si(r17065, MPFR_RNDN)) { mpfr_set(r17072, r17071, MPFR_RNDN); } else { mpfr_set(r17072, r17063, MPFR_RNDN); }; if (mpfr_get_si(r17048, MPFR_RNDN)) { mpfr_set(r17073, r17063, MPFR_RNDN); } else { mpfr_set(r17073, r17072, MPFR_RNDN); }; return mpfr_get_d(r17073, MPFR_RNDN); } static mpfr_t r17074, r17075, r17076, r17077, r17078, r17079, r17080, r17081, r17082, r17083, r17084, r17085, r17086, r17087, r17088, r17089, r17090, r17091, r17092, r17093, r17094, r17095, r17096, r17097, r17098, r17099, r17100, r17101; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17074); mpfr_init_set_str(r17075, "-1.5876558f-13", 10, MPFR_RNDN); mpfr_init(r17076); mpfr_init(r17077); mpfr_init(r17078); mpfr_init(r17079); mpfr_init(r17080); mpfr_init(r17081); mpfr_init(r17082); mpfr_init(r17083); mpfr_init(r17084); mpfr_init(r17085); mpfr_init(r17086); mpfr_init(r17087); mpfr_init(r17088); mpfr_init(r17089); mpfr_init(r17090); mpfr_init(r17091); mpfr_init_set_str(r17092, "1.9313832f-20", 10, MPFR_RNDN); mpfr_init(r17093); mpfr_init(r17094); mpfr_init(r17095); mpfr_init(r17096); mpfr_init_set_str(r17097, "1/2", 10, MPFR_RNDN); mpfr_init(r17098); mpfr_init(r17099); mpfr_init(r17100); mpfr_init(r17101); } double f_dm(double x, double eps) { mpfr_set_d(r17074, eps, MPFR_RNDN); ; mpfr_set_si(r17076, mpfr_cmp(r17074, r17075) <= 0, MPFR_RNDN); mpfr_set_d(r17077, x, MPFR_RNDN); mpfr_sin(r17078, r17077, MPFR_RNDN); mpfr_cos(r17079, r17074, MPFR_RNDN); mpfr_mul(r17080, r17078, r17079, MPFR_RNDN); mpfr_sqr(r17081, r17080, MPFR_RNDN); mpfr_cos(r17082, r17077, MPFR_RNDN); mpfr_sin(r17083, r17074, MPFR_RNDN); mpfr_mul(r17084, r17082, r17083, MPFR_RNDN); mpfr_sub(r17085, r17084, r17078, MPFR_RNDN); mpfr_sqr(r17086, r17085, MPFR_RNDN); mpfr_sub(r17087, r17081, r17086, MPFR_RNDN); mpfr_fma(r17088, r17079, r17078, r17078, MPFR_RNDN); mpfr_mul(r17089, r17083, r17082, MPFR_RNDN); mpfr_sub(r17090, r17088, r17089, MPFR_RNDN); mpfr_div(r17091, r17087, r17090, MPFR_RNDN); ; mpfr_set_si(r17093, mpfr_cmp(r17074, r17092) <= 0, MPFR_RNDN); mpfr_mul(r17094, r17077, r17074, MPFR_RNDN); mpfr_add(r17095, r17074, r17077, MPFR_RNDN); mpfr_mul(r17096, r17094, r17095, MPFR_RNDN); ; mpfr_mul(r17098, r17096, r17097, MPFR_RNDN); mpfr_sub(r17099, r17074, r17098, MPFR_RNDN); if (mpfr_get_si(r17093, MPFR_RNDN)) { mpfr_set(r17100, r17099, MPFR_RNDN); } else { mpfr_set(r17100, r17091, MPFR_RNDN); }; if (mpfr_get_si(r17076, MPFR_RNDN)) { mpfr_set(r17101, r17091, MPFR_RNDN); } else { mpfr_set(r17101, r17100, MPFR_RNDN); }; return mpfr_get_d(r17101, MPFR_RNDN); }