#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r21949 = 1; float r21950 = eps; float r21951 = r21949 / r21950; float r21952 = r21949 + r21951; float r21953 = r21949 - r21950; float r21954 = x; float r21955 = r21953 * r21954; float r21956 = -r21955; float r21957 = exp(r21956); float r21958 = r21952 * r21957; float r21959 = r21951 - r21949; float r21960 = r21949 + r21950; float r21961 = r21960 * r21954; float r21962 = -r21961; float r21963 = exp(r21962); float r21964 = r21959 * r21963; float r21965 = r21958 - r21964; float r21966 = 2; float r21967 = r21965 / r21966; return r21967; } double f_id(double x, double eps) { double r21968 = 1; double r21969 = eps; double r21970 = r21968 / r21969; double r21971 = r21968 + r21970; double r21972 = r21968 - r21969; double r21973 = x; double r21974 = r21972 * r21973; double r21975 = -r21974; double r21976 = exp(r21975); double r21977 = r21971 * r21976; double r21978 = r21970 - r21968; double r21979 = r21968 + r21969; double r21980 = r21979 * r21973; double r21981 = -r21980; double r21982 = exp(r21981); double r21983 = r21978 * r21982; double r21984 = r21977 - r21983; double r21985 = 2; double r21986 = r21984 / r21985; return r21986; } double f_of(float x, float eps) { float r21987 = x; float r21988 = 405.35613016096374; bool r21989 = r21987 <= r21988; float r21990 = 2; float r21991 = 2/3; float r21992 = 3; float r21993 = pow(r21987, r21992); float r21994 = r21991 * r21993; float r21995 = cbrt(r21994); float r21996 = r21995 * r21995; float r21997 = r21996 * r21995; float r21998 = r21990 + r21997; float r21999 = pow(r21987, r21990); float r22000 = r21998 - r21999; float r22001 = r22000 / r21990; float r22002 = 1; float r22003 = eps; float r22004 = r22002 / r22003; float r22005 = r22002 + r22004; float r22006 = exp(1.0); float r22007 = r22002 - r22003; float r22008 = r22007 * r21987; float r22009 = -r22008; float r22010 = pow(r22006, r22009); float r22011 = r22005 * r22010; float r22012 = r22004 - r22002; float r22013 = r22002 + r22003; float r22014 = r22013 * r21987; float r22015 = -r22014; float r22016 = exp(r22015); float r22017 = r22012 * r22016; float r22018 = r22011 - r22017; float r22019 = r22018 / r21990; float r22020 = r21989 ? r22001 : r22019; return r22020; } double f_od(double x, double eps) { double r22021 = x; double r22022 = 405.35613016096374; bool r22023 = r22021 <= r22022; double r22024 = 2; double r22025 = 2/3; double r22026 = 3; double r22027 = pow(r22021, r22026); double r22028 = r22025 * r22027; double r22029 = cbrt(r22028); double r22030 = r22029 * r22029; double r22031 = r22030 * r22029; double r22032 = r22024 + r22031; double r22033 = pow(r22021, r22024); double r22034 = r22032 - r22033; double r22035 = r22034 / r22024; double r22036 = 1; double r22037 = eps; double r22038 = r22036 / r22037; double r22039 = r22036 + r22038; double r22040 = exp(1.0); double r22041 = r22036 - r22037; double r22042 = r22041 * r22021; double r22043 = -r22042; double r22044 = pow(r22040, r22043); double r22045 = r22039 * r22044; double r22046 = r22038 - r22036; double r22047 = r22036 + r22037; double r22048 = r22047 * r22021; double r22049 = -r22048; double r22050 = exp(r22049); double r22051 = r22046 * r22050; double r22052 = r22045 - r22051; double r22053 = r22052 / r22024; double r22054 = r22023 ? r22035 : r22053; return r22054; } 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 r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22055, "1", 10, MPFR_RNDN); mpfr_init(r22056); mpfr_init(r22057); mpfr_init(r22058); mpfr_init(r22059); mpfr_init(r22060); mpfr_init(r22061); mpfr_init(r22062); mpfr_init(r22063); mpfr_init(r22064); mpfr_init(r22065); mpfr_init(r22066); mpfr_init(r22067); mpfr_init(r22068); mpfr_init(r22069); mpfr_init(r22070); mpfr_init(r22071); mpfr_init_set_str(r22072, "2", 10, MPFR_RNDN); mpfr_init(r22073); } double f_im(double x, double eps) { ; mpfr_set_d(r22056, eps, MPFR_RNDN); mpfr_div(r22057, r22055, r22056, MPFR_RNDN); mpfr_add(r22058, r22055, r22057, MPFR_RNDN); mpfr_sub(r22059, r22055, r22056, MPFR_RNDN); mpfr_set_d(r22060, x, MPFR_RNDN); mpfr_mul(r22061, r22059, r22060, MPFR_RNDN); mpfr_neg(r22062, r22061, MPFR_RNDN); mpfr_exp(r22063, r22062, MPFR_RNDN); mpfr_mul(r22064, r22058, r22063, MPFR_RNDN); mpfr_sub(r22065, r22057, r22055, MPFR_RNDN); mpfr_add(r22066, r22055, r22056, MPFR_RNDN); mpfr_mul(r22067, r22066, r22060, MPFR_RNDN); mpfr_neg(r22068, r22067, MPFR_RNDN); mpfr_exp(r22069, r22068, MPFR_RNDN); mpfr_mul(r22070, r22065, r22069, MPFR_RNDN); mpfr_sub(r22071, r22064, r22070, MPFR_RNDN); ; mpfr_div(r22073, r22071, r22072, MPFR_RNDN); return mpfr_get_d(r22073, MPFR_RNDN); } static mpfr_t r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22074); mpfr_init_set_str(r22075, "405.35613016096374", 10, MPFR_RNDN); mpfr_init(r22076); mpfr_init_set_str(r22077, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22078, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22079, "3", 10, MPFR_RNDN); mpfr_init(r22080); mpfr_init(r22081); mpfr_init(r22082); mpfr_init(r22083); mpfr_init(r22084); mpfr_init(r22085); mpfr_init(r22086); mpfr_init(r22087); mpfr_init(r22088); mpfr_init_set_str(r22089, "1", 10, MPFR_RNDN); mpfr_init(r22090); mpfr_init(r22091); mpfr_init(r22092); mpfr_init(r22093); mpfr_init(r22094); mpfr_init(r22095); mpfr_init(r22096); mpfr_init(r22097); mpfr_init(r22098); mpfr_init(r22099); mpfr_init(r22100); mpfr_init(r22101); mpfr_init(r22102); mpfr_init(r22103); mpfr_init(r22104); mpfr_init(r22105); mpfr_init(r22106); mpfr_init(r22107); } double f_fm(double x, double eps) { mpfr_set_d(r22074, x, MPFR_RNDN); ; mpfr_set_si(r22076, mpfr_cmp(r22074, r22075) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22080, r22074, r22079, MPFR_RNDN); mpfr_mul(r22081, r22078, r22080, MPFR_RNDN); mpfr_cbrt(r22082, r22081, MPFR_RNDN); mpfr_mul(r22083, r22082, r22082, MPFR_RNDN); mpfr_mul(r22084, r22083, r22082, MPFR_RNDN); mpfr_add(r22085, r22077, r22084, MPFR_RNDN); mpfr_pow(r22086, r22074, r22077, MPFR_RNDN); mpfr_sub(r22087, r22085, r22086, MPFR_RNDN); mpfr_div(r22088, r22087, r22077, MPFR_RNDN); ; mpfr_set_d(r22090, eps, MPFR_RNDN); mpfr_div(r22091, r22089, r22090, MPFR_RNDN); mpfr_add(r22092, r22089, r22091, MPFR_RNDN); mpfr_set_si(r22093, 1, MPFR_RNDN), mpfr_const_exp(r22093, r22093, MPFR_RNDN); mpfr_sub(r22094, r22089, r22090, MPFR_RNDN); mpfr_mul(r22095, r22094, r22074, MPFR_RNDN); mpfr_neg(r22096, r22095, MPFR_RNDN); mpfr_pow(r22097, r22093, r22096, MPFR_RNDN); mpfr_mul(r22098, r22092, r22097, MPFR_RNDN); mpfr_sub(r22099, r22091, r22089, MPFR_RNDN); mpfr_add(r22100, r22089, r22090, MPFR_RNDN); mpfr_mul(r22101, r22100, r22074, MPFR_RNDN); mpfr_neg(r22102, r22101, MPFR_RNDN); mpfr_exp(r22103, r22102, MPFR_RNDN); mpfr_mul(r22104, r22099, r22103, MPFR_RNDN); mpfr_sub(r22105, r22098, r22104, MPFR_RNDN); mpfr_div(r22106, r22105, r22077, MPFR_RNDN); if (mpfr_get_si(r22076, MPFR_RNDN)) { mpfr_set(r22107, r22088, MPFR_RNDN); } else { mpfr_set(r22107, r22106, MPFR_RNDN); }; return mpfr_get_d(r22107, MPFR_RNDN); } static mpfr_t r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r22108); mpfr_init_set_str(r22109, "405.35613016096374", 10, MPFR_RNDN); mpfr_init(r22110); mpfr_init_set_str(r22111, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22112, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22113, "3", 10, MPFR_RNDN); mpfr_init(r22114); mpfr_init(r22115); mpfr_init(r22116); mpfr_init(r22117); mpfr_init(r22118); mpfr_init(r22119); mpfr_init(r22120); mpfr_init(r22121); mpfr_init(r22122); mpfr_init_set_str(r22123, "1", 10, MPFR_RNDN); mpfr_init(r22124); mpfr_init(r22125); mpfr_init(r22126); mpfr_init(r22127); mpfr_init(r22128); mpfr_init(r22129); mpfr_init(r22130); mpfr_init(r22131); mpfr_init(r22132); mpfr_init(r22133); mpfr_init(r22134); mpfr_init(r22135); mpfr_init(r22136); mpfr_init(r22137); mpfr_init(r22138); mpfr_init(r22139); mpfr_init(r22140); mpfr_init(r22141); } double f_dm(double x, double eps) { mpfr_set_d(r22108, x, MPFR_RNDN); ; mpfr_set_si(r22110, mpfr_cmp(r22108, r22109) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22114, r22108, r22113, MPFR_RNDN); mpfr_mul(r22115, r22112, r22114, MPFR_RNDN); mpfr_cbrt(r22116, r22115, MPFR_RNDN); mpfr_mul(r22117, r22116, r22116, MPFR_RNDN); mpfr_mul(r22118, r22117, r22116, MPFR_RNDN); mpfr_add(r22119, r22111, r22118, MPFR_RNDN); mpfr_pow(r22120, r22108, r22111, MPFR_RNDN); mpfr_sub(r22121, r22119, r22120, MPFR_RNDN); mpfr_div(r22122, r22121, r22111, MPFR_RNDN); ; mpfr_set_d(r22124, eps, MPFR_RNDN); mpfr_div(r22125, r22123, r22124, MPFR_RNDN); mpfr_add(r22126, r22123, r22125, MPFR_RNDN); mpfr_set_si(r22127, 1, MPFR_RNDN), mpfr_const_exp(r22127, r22127, MPFR_RNDN); mpfr_sub(r22128, r22123, r22124, MPFR_RNDN); mpfr_mul(r22129, r22128, r22108, MPFR_RNDN); mpfr_neg(r22130, r22129, MPFR_RNDN); mpfr_pow(r22131, r22127, r22130, MPFR_RNDN); mpfr_mul(r22132, r22126, r22131, MPFR_RNDN); mpfr_sub(r22133, r22125, r22123, MPFR_RNDN); mpfr_add(r22134, r22123, r22124, MPFR_RNDN); mpfr_mul(r22135, r22134, r22108, MPFR_RNDN); mpfr_neg(r22136, r22135, MPFR_RNDN); mpfr_exp(r22137, r22136, MPFR_RNDN); mpfr_mul(r22138, r22133, r22137, MPFR_RNDN); mpfr_sub(r22139, r22132, r22138, MPFR_RNDN); mpfr_div(r22140, r22139, r22111, MPFR_RNDN); if (mpfr_get_si(r22110, MPFR_RNDN)) { mpfr_set(r22141, r22122, MPFR_RNDN); } else { mpfr_set(r22141, r22140, MPFR_RNDN); }; return mpfr_get_d(r22141, MPFR_RNDN); }