#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16922 = x; float r16923 = eps; float r16924 = r16922 + r16923; float r16925 = sin(r16924); float r16926 = sin(r16922); float r16927 = r16925 - r16926; return r16927; } double f_id(double x, double eps) { double r16928 = x; double r16929 = eps; double r16930 = r16928 + r16929; double r16931 = sin(r16930); double r16932 = sin(r16928); double r16933 = r16931 - r16932; return r16933; } double f_of(float x, float eps) { float r16934 = eps; float r16935 = -0.0053210509940981865f; bool r16936 = r16934 <= r16935; float r16937 = x; float r16938 = sin(r16937); float r16939 = cos(r16934); float r16940 = r16938 * r16939; float r16941 = r16940 * r16940; float r16942 = r16941 * r16941; float r16943 = cos(r16937); float r16944 = sin(r16934); float r16945 = r16943 * r16944; float r16946 = r16945 - r16938; float r16947 = r16946 * r16946; float r16948 = r16947 * r16947; float r16949 = r16942 - r16948; float r16950 = r16941 + r16947; float r16951 = r16949 / r16950; float r16952 = fma(r16939, r16938, r16938); float r16953 = r16944 * r16943; float r16954 = r16952 - r16953; float r16955 = r16951 / r16954; float r16956 = 0.0037375488318502903f; bool r16957 = r16934 <= r16956; float r16958 = 2.0f; float r16959 = r16958 * r16934; float r16960 = r16943 * r16959; float r16961 = r16938 * r16960; float r16962 = 0.3333333432674408f; float r16963 = r16934 * r16962; float r16964 = r16934 * r16934; float r16965 = r16963 * r16964; float r16966 = r16943 * r16938; float r16967 = fma(r16965, r16966, r16964); float r16968 = r16961 - r16967; float r16969 = r16952 - r16945; float r16970 = r16968 / r16969; float r16971 = r16939 * r16938; float r16972 = fma(r16943, r16944, r16971); float r16973 = -r16938; float r16974 = r16972 + r16973; float r16975 = r16957 ? r16970 : r16974; float r16976 = r16936 ? r16955 : r16975; return r16976; } double f_od(double x, double eps) { double r16977 = eps; double r16978 = -0.0053210509940981865; bool r16979 = r16977 <= r16978; double r16980 = x; double r16981 = sin(r16980); double r16982 = cos(r16977); double r16983 = r16981 * r16982; double r16984 = r16983 * r16983; double r16985 = r16984 * r16984; double r16986 = cos(r16980); double r16987 = sin(r16977); double r16988 = r16986 * r16987; double r16989 = r16988 - r16981; double r16990 = r16989 * r16989; double r16991 = r16990 * r16990; double r16992 = r16985 - r16991; double r16993 = r16984 + r16990; double r16994 = r16992 / r16993; double r16995 = fma(r16982, r16981, r16981); double r16996 = r16987 * r16986; double r16997 = r16995 - r16996; double r16998 = r16994 / r16997; double r16999 = 0.0037375488318502903; bool r17000 = r16977 <= r16999; double r17001 = 2.0; double r17002 = r17001 * r16977; double r17003 = r16986 * r17002; double r17004 = r16981 * r17003; double r17005 = 0.3333333432674408; double r17006 = r16977 * r17005; double r17007 = r16977 * r16977; double r17008 = r17006 * r17007; double r17009 = r16986 * r16981; double r17010 = fma(r17008, r17009, r17007); double r17011 = r17004 - r17010; double r17012 = r16995 - r16988; double r17013 = r17011 / r17012; double r17014 = r16982 * r16981; double r17015 = fma(r16986, r16987, r17014); double r17016 = -r16981; double r17017 = r17015 + r17016; double r17018 = r17000 ? r17013 : r17017; double r17019 = r16979 ? r16998 : r17018; return r17019; } 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 r17020, r17021, r17022, r17023, r17024, r17025; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17020); mpfr_init(r17021); mpfr_init(r17022); mpfr_init(r17023); mpfr_init(r17024); mpfr_init(r17025); } double f_im(double x, double eps) { mpfr_set_d(r17020, x, MPFR_RNDN); mpfr_set_d(r17021, eps, MPFR_RNDN); mpfr_add(r17022, r17020, r17021, MPFR_RNDN); mpfr_sin(r17023, r17022, MPFR_RNDN); mpfr_sin(r17024, r17020, MPFR_RNDN); mpfr_sub(r17025, r17023, r17024, MPFR_RNDN); return mpfr_get_d(r17025, MPFR_RNDN); } static mpfr_t r17026, r17027, r17028, r17029, r17030, r17031, r17032, r17033, r17034, r17035, r17036, r17037, r17038, r17039, r17040, r17041, r17042, r17043, r17044, r17045, r17046, r17047, r17048, r17049, r17050, r17051, r17052, r17053, r17054, r17055, r17056, r17057, r17058, r17059, r17060, r17061, r17062, r17063, r17064, r17065, r17066, r17067, r17068; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17026); mpfr_init_set_str(r17027, "-0.005321051f0", 10, MPFR_RNDN); mpfr_init(r17028); mpfr_init(r17029); mpfr_init(r17030); mpfr_init(r17031); mpfr_init(r17032); mpfr_init(r17033); mpfr_init(r17034); mpfr_init(r17035); mpfr_init(r17036); mpfr_init(r17037); mpfr_init(r17038); mpfr_init(r17039); mpfr_init(r17040); mpfr_init(r17041); mpfr_init(r17042); mpfr_init(r17043); mpfr_init(r17044); mpfr_init(r17045); mpfr_init(r17046); mpfr_init(r17047); mpfr_init_set_str(r17048, "0.0037375488f0", 10, MPFR_RNDN); mpfr_init(r17049); mpfr_init_set_str(r17050, "2", 10, MPFR_RNDN); mpfr_init(r17051); mpfr_init(r17052); mpfr_init(r17053); mpfr_init_set_str(r17054, "1/3", 10, MPFR_RNDN); 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(r17064); mpfr_init(r17065); mpfr_init(r17066); mpfr_init(r17067); mpfr_init(r17068); } double f_fm(double x, double eps) { mpfr_set_d(r17026, eps, MPFR_RNDN); ; mpfr_set_si(r17028, mpfr_cmp(r17026, r17027) <= 0, MPFR_RNDN); mpfr_set_d(r17029, x, MPFR_RNDN); mpfr_sin(r17030, r17029, MPFR_RNDN); mpfr_cos(r17031, r17026, MPFR_RNDN); mpfr_mul(r17032, r17030, r17031, MPFR_RNDN); mpfr_sqr(r17033, r17032, MPFR_RNDN); mpfr_sqr(r17034, r17033, MPFR_RNDN); mpfr_cos(r17035, r17029, MPFR_RNDN); mpfr_sin(r17036, r17026, MPFR_RNDN); mpfr_mul(r17037, r17035, r17036, MPFR_RNDN); mpfr_sub(r17038, r17037, r17030, MPFR_RNDN); mpfr_sqr(r17039, r17038, MPFR_RNDN); mpfr_sqr(r17040, r17039, MPFR_RNDN); mpfr_sub(r17041, r17034, r17040, MPFR_RNDN); mpfr_add(r17042, r17033, r17039, MPFR_RNDN); mpfr_div(r17043, r17041, r17042, MPFR_RNDN); mpfr_fma(r17044, r17031, r17030, r17030, MPFR_RNDN); mpfr_mul(r17045, r17036, r17035, MPFR_RNDN); mpfr_sub(r17046, r17044, r17045, MPFR_RNDN); mpfr_div(r17047, r17043, r17046, MPFR_RNDN); ; mpfr_set_si(r17049, mpfr_cmp(r17026, r17048) <= 0, MPFR_RNDN); ; mpfr_mul(r17051, r17050, r17026, MPFR_RNDN); mpfr_mul(r17052, r17035, r17051, MPFR_RNDN); mpfr_mul(r17053, r17030, r17052, MPFR_RNDN); ; mpfr_mul(r17055, r17026, r17054, MPFR_RNDN); mpfr_sqr(r17056, r17026, MPFR_RNDN); mpfr_mul(r17057, r17055, r17056, MPFR_RNDN); mpfr_mul(r17058, r17035, r17030, MPFR_RNDN); mpfr_fma(r17059, r17057, r17058, r17056, MPFR_RNDN); mpfr_sub(r17060, r17053, r17059, MPFR_RNDN); mpfr_sub(r17061, r17044, r17037, MPFR_RNDN); mpfr_div(r17062, r17060, r17061, MPFR_RNDN); mpfr_mul(r17063, r17031, r17030, MPFR_RNDN); mpfr_fma(r17064, r17035, r17036, r17063, MPFR_RNDN); mpfr_neg(r17065, r17030, MPFR_RNDN); mpfr_add(r17066, r17064, r17065, MPFR_RNDN); if (mpfr_get_si(r17049, MPFR_RNDN)) { mpfr_set(r17067, r17062, MPFR_RNDN); } else { mpfr_set(r17067, r17066, MPFR_RNDN); }; if (mpfr_get_si(r17028, MPFR_RNDN)) { mpfr_set(r17068, r17047, MPFR_RNDN); } else { mpfr_set(r17068, r17067, MPFR_RNDN); }; return mpfr_get_d(r17068, MPFR_RNDN); } static mpfr_t r17069, r17070, r17071, r17072, r17073, 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, r17102, r17103, r17104, r17105, r17106, r17107, r17108, r17109, r17110, r17111; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17069); mpfr_init_set_str(r17070, "-0.005321051f0", 10, MPFR_RNDN); mpfr_init(r17071); mpfr_init(r17072); mpfr_init(r17073); mpfr_init(r17074); mpfr_init(r17075); 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_set_str(r17091, "0.0037375488f0", 10, MPFR_RNDN); mpfr_init(r17092); mpfr_init_set_str(r17093, "2", 10, MPFR_RNDN); mpfr_init(r17094); mpfr_init(r17095); mpfr_init(r17096); mpfr_init_set_str(r17097, "1/3", 10, MPFR_RNDN); mpfr_init(r17098); mpfr_init(r17099); mpfr_init(r17100); mpfr_init(r17101); mpfr_init(r17102); mpfr_init(r17103); mpfr_init(r17104); mpfr_init(r17105); mpfr_init(r17106); mpfr_init(r17107); mpfr_init(r17108); mpfr_init(r17109); mpfr_init(r17110); mpfr_init(r17111); } double f_dm(double x, double eps) { mpfr_set_d(r17069, eps, MPFR_RNDN); ; mpfr_set_si(r17071, mpfr_cmp(r17069, r17070) <= 0, MPFR_RNDN); mpfr_set_d(r17072, x, MPFR_RNDN); mpfr_sin(r17073, r17072, MPFR_RNDN); mpfr_cos(r17074, r17069, MPFR_RNDN); mpfr_mul(r17075, r17073, r17074, MPFR_RNDN); mpfr_sqr(r17076, r17075, MPFR_RNDN); mpfr_sqr(r17077, r17076, MPFR_RNDN); mpfr_cos(r17078, r17072, MPFR_RNDN); mpfr_sin(r17079, r17069, MPFR_RNDN); mpfr_mul(r17080, r17078, r17079, MPFR_RNDN); mpfr_sub(r17081, r17080, r17073, MPFR_RNDN); mpfr_sqr(r17082, r17081, MPFR_RNDN); mpfr_sqr(r17083, r17082, MPFR_RNDN); mpfr_sub(r17084, r17077, r17083, MPFR_RNDN); mpfr_add(r17085, r17076, r17082, MPFR_RNDN); mpfr_div(r17086, r17084, r17085, MPFR_RNDN); mpfr_fma(r17087, r17074, r17073, r17073, MPFR_RNDN); mpfr_mul(r17088, r17079, r17078, MPFR_RNDN); mpfr_sub(r17089, r17087, r17088, MPFR_RNDN); mpfr_div(r17090, r17086, r17089, MPFR_RNDN); ; mpfr_set_si(r17092, mpfr_cmp(r17069, r17091) <= 0, MPFR_RNDN); ; mpfr_mul(r17094, r17093, r17069, MPFR_RNDN); mpfr_mul(r17095, r17078, r17094, MPFR_RNDN); mpfr_mul(r17096, r17073, r17095, MPFR_RNDN); ; mpfr_mul(r17098, r17069, r17097, MPFR_RNDN); mpfr_sqr(r17099, r17069, MPFR_RNDN); mpfr_mul(r17100, r17098, r17099, MPFR_RNDN); mpfr_mul(r17101, r17078, r17073, MPFR_RNDN); mpfr_fma(r17102, r17100, r17101, r17099, MPFR_RNDN); mpfr_sub(r17103, r17096, r17102, MPFR_RNDN); mpfr_sub(r17104, r17087, r17080, MPFR_RNDN); mpfr_div(r17105, r17103, r17104, MPFR_RNDN); mpfr_mul(r17106, r17074, r17073, MPFR_RNDN); mpfr_fma(r17107, r17078, r17079, r17106, MPFR_RNDN); mpfr_neg(r17108, r17073, MPFR_RNDN); mpfr_add(r17109, r17107, r17108, MPFR_RNDN); if (mpfr_get_si(r17092, MPFR_RNDN)) { mpfr_set(r17110, r17105, MPFR_RNDN); } else { mpfr_set(r17110, r17109, MPFR_RNDN); }; if (mpfr_get_si(r17071, MPFR_RNDN)) { mpfr_set(r17111, r17090, MPFR_RNDN); } else { mpfr_set(r17111, r17110, MPFR_RNDN); }; return mpfr_get_d(r17111, MPFR_RNDN); }