#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16944 = x; float r16945 = eps; float r16946 = r16944 + r16945; float r16947 = sin(r16946); float r16948 = sin(r16944); float r16949 = r16947 - r16948; return r16949; } double f_id(double x, double eps) { double r16950 = x; double r16951 = eps; double r16952 = r16950 + r16951; double r16953 = sin(r16952); double r16954 = sin(r16950); double r16955 = r16953 - r16954; return r16955; } double f_of(float x, float eps) { float r16956 = x; float r16957 = sin(r16956); float r16958 = eps; float r16959 = cos(r16958); float r16960 = r16957 * r16959; float r16961 = r16960 * r16960; float r16962 = r16961 * r16961; float r16963 = cos(r16956); float r16964 = sin(r16958); float r16965 = r16963 * r16964; float r16966 = r16965 - r16957; float r16967 = r16966 * r16966; float r16968 = r16967 * r16967; float r16969 = r16962 - r16968; float r16970 = r16961 + r16967; float r16971 = r16969 / r16970; float r16972 = fma(r16959, r16957, r16957); float r16973 = r16964 * r16963; float r16974 = r16972 - r16973; float r16975 = r16971 / r16974; return r16975; } double f_od(double x, double eps) { double r16976 = x; double r16977 = sin(r16976); double r16978 = eps; double r16979 = cos(r16978); double r16980 = r16977 * r16979; double r16981 = r16980 * r16980; double r16982 = r16981 * r16981; double r16983 = cos(r16976); double r16984 = sin(r16978); double r16985 = r16983 * r16984; double r16986 = r16985 - r16977; double r16987 = r16986 * r16986; double r16988 = r16987 * r16987; double r16989 = r16982 - r16988; double r16990 = r16981 + r16987; double r16991 = r16989 / r16990; double r16992 = fma(r16979, r16977, r16977); double r16993 = r16984 * r16983; double r16994 = r16992 - r16993; double r16995 = r16991 / r16994; return r16995; } 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 r16996, r16997, r16998, r16999, r17000, r17001; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16996); mpfr_init(r16997); mpfr_init(r16998); mpfr_init(r16999); mpfr_init(r17000); mpfr_init(r17001); } double f_im(double x, double eps) { mpfr_set_d(r16996, x, MPFR_RNDN); mpfr_set_d(r16997, eps, MPFR_RNDN); mpfr_add(r16998, r16996, r16997, MPFR_RNDN); mpfr_sin(r16999, r16998, MPFR_RNDN); mpfr_sin(r17000, r16996, MPFR_RNDN); mpfr_sub(r17001, r16999, r17000, MPFR_RNDN); return mpfr_get_d(r17001, MPFR_RNDN); } static mpfr_t r17002, r17003, r17004, r17005, r17006, r17007, r17008, r17009, r17010, r17011, r17012, r17013, r17014, r17015, r17016, r17017, r17018, r17019, r17020, r17021; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17002); mpfr_init(r17003); mpfr_init(r17004); mpfr_init(r17005); mpfr_init(r17006); mpfr_init(r17007); mpfr_init(r17008); mpfr_init(r17009); mpfr_init(r17010); mpfr_init(r17011); mpfr_init(r17012); mpfr_init(r17013); mpfr_init(r17014); mpfr_init(r17015); mpfr_init(r17016); mpfr_init(r17017); mpfr_init(r17018); mpfr_init(r17019); mpfr_init(r17020); mpfr_init(r17021); } double f_fm(double x, double eps) { mpfr_set_d(r17002, x, MPFR_RNDN); mpfr_sin(r17003, r17002, MPFR_RNDN); mpfr_set_d(r17004, eps, MPFR_RNDN); mpfr_cos(r17005, r17004, MPFR_RNDN); mpfr_mul(r17006, r17003, r17005, MPFR_RNDN); mpfr_sqr(r17007, r17006, MPFR_RNDN); mpfr_sqr(r17008, r17007, MPFR_RNDN); mpfr_cos(r17009, r17002, MPFR_RNDN); mpfr_sin(r17010, r17004, MPFR_RNDN); mpfr_mul(r17011, r17009, r17010, MPFR_RNDN); mpfr_sub(r17012, r17011, r17003, MPFR_RNDN); mpfr_sqr(r17013, r17012, MPFR_RNDN); mpfr_sqr(r17014, r17013, MPFR_RNDN); mpfr_sub(r17015, r17008, r17014, MPFR_RNDN); mpfr_add(r17016, r17007, r17013, MPFR_RNDN); mpfr_div(r17017, r17015, r17016, MPFR_RNDN); mpfr_fma(r17018, r17005, r17003, r17003, MPFR_RNDN); mpfr_mul(r17019, r17010, r17009, MPFR_RNDN); mpfr_sub(r17020, r17018, r17019, MPFR_RNDN); mpfr_div(r17021, r17017, r17020, MPFR_RNDN); return mpfr_get_d(r17021, MPFR_RNDN); } static mpfr_t r17022, r17023, r17024, r17025, r17026, r17027, r17028, r17029, r17030, r17031, r17032, r17033, r17034, r17035, r17036, r17037, r17038, r17039, r17040, r17041; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17022); mpfr_init(r17023); mpfr_init(r17024); mpfr_init(r17025); mpfr_init(r17026); mpfr_init(r17027); 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); } double f_dm(double x, double eps) { mpfr_set_d(r17022, x, MPFR_RNDN); mpfr_sin(r17023, r17022, MPFR_RNDN); mpfr_set_d(r17024, eps, MPFR_RNDN); mpfr_cos(r17025, r17024, MPFR_RNDN); mpfr_mul(r17026, r17023, r17025, MPFR_RNDN); mpfr_sqr(r17027, r17026, MPFR_RNDN); mpfr_sqr(r17028, r17027, MPFR_RNDN); mpfr_cos(r17029, r17022, MPFR_RNDN); mpfr_sin(r17030, r17024, MPFR_RNDN); mpfr_mul(r17031, r17029, r17030, MPFR_RNDN); mpfr_sub(r17032, r17031, r17023, MPFR_RNDN); mpfr_sqr(r17033, r17032, MPFR_RNDN); mpfr_sqr(r17034, r17033, MPFR_RNDN); mpfr_sub(r17035, r17028, r17034, MPFR_RNDN); mpfr_add(r17036, r17027, r17033, MPFR_RNDN); mpfr_div(r17037, r17035, r17036, MPFR_RNDN); mpfr_fma(r17038, r17025, r17023, r17023, MPFR_RNDN); mpfr_mul(r17039, r17030, r17029, MPFR_RNDN); mpfr_sub(r17040, r17038, r17039, MPFR_RNDN); mpfr_div(r17041, r17037, r17040, MPFR_RNDN); return mpfr_get_d(r17041, MPFR_RNDN); }