#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r21977 = 1; float r21978 = eps; float r21979 = r21977 / r21978; float r21980 = r21977 + r21979; float r21981 = r21977 - r21978; float r21982 = x; float r21983 = r21981 * r21982; float r21984 = -r21983; float r21985 = exp(r21984); float r21986 = r21980 * r21985; float r21987 = r21979 - r21977; float r21988 = r21977 + r21978; float r21989 = r21988 * r21982; float r21990 = -r21989; float r21991 = exp(r21990); float r21992 = r21987 * r21991; float r21993 = r21986 - r21992; float r21994 = 2; float r21995 = r21993 / r21994; return r21995; } double f_id(double x, double eps) { double r21996 = 1; double r21997 = eps; double r21998 = r21996 / r21997; double r21999 = r21996 + r21998; double r22000 = r21996 - r21997; double r22001 = x; double r22002 = r22000 * r22001; double r22003 = -r22002; double r22004 = exp(r22003); double r22005 = r21999 * r22004; double r22006 = r21998 - r21996; double r22007 = r21996 + r21997; double r22008 = r22007 * r22001; double r22009 = -r22008; double r22010 = exp(r22009); double r22011 = r22006 * r22010; double r22012 = r22005 - r22011; double r22013 = 2; double r22014 = r22012 / r22013; return r22014; } double f_of(float x, float eps) { float r22015 = x; float r22016 = 188.77339467269178; bool r22017 = r22015 <= r22016; float r22018 = 2; float r22019 = 2/3; float r22020 = 3; float r22021 = pow(r22015, r22020); float r22022 = r22019 * r22021; float r22023 = log1p(r22022); float r22024 = expm1(r22023); float r22025 = r22018 + r22024; float r22026 = pow(r22015, r22018); float r22027 = r22025 - r22026; float r22028 = r22027 / r22018; float r22029 = 1; float r22030 = eps; float r22031 = r22029 / r22030; float r22032 = r22029 + r22031; float r22033 = r22029 - r22030; float r22034 = r22033 * r22015; float r22035 = -r22034; float r22036 = exp(r22035); float r22037 = r22032 * r22036; float r22038 = r22031 - r22029; float r22039 = r22029 + r22030; float r22040 = r22039 * r22015; float r22041 = -r22040; float r22042 = exp(r22041); float r22043 = r22038 * r22042; float r22044 = r22037 - r22043; float r22045 = sqrt(r22044); float r22046 = r22045 * r22045; float r22047 = r22046 / r22018; float r22048 = r22017 ? r22028 : r22047; return r22048; } double f_od(double x, double eps) { double r22049 = x; double r22050 = 188.77339467269178; bool r22051 = r22049 <= r22050; double r22052 = 2; double r22053 = 2/3; double r22054 = 3; double r22055 = pow(r22049, r22054); double r22056 = r22053 * r22055; double r22057 = log1p(r22056); double r22058 = expm1(r22057); double r22059 = r22052 + r22058; double r22060 = pow(r22049, r22052); double r22061 = r22059 - r22060; double r22062 = r22061 / r22052; double r22063 = 1; double r22064 = eps; double r22065 = r22063 / r22064; double r22066 = r22063 + r22065; double r22067 = r22063 - r22064; double r22068 = r22067 * r22049; double r22069 = -r22068; double r22070 = exp(r22069); double r22071 = r22066 * r22070; double r22072 = r22065 - r22063; double r22073 = r22063 + r22064; double r22074 = r22073 * r22049; double r22075 = -r22074; double r22076 = exp(r22075); double r22077 = r22072 * r22076; double r22078 = r22071 - r22077; double r22079 = sqrt(r22078); double r22080 = r22079 * r22079; double r22081 = r22080 / r22052; double r22082 = r22051 ? r22062 : r22081; return r22082; } 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 r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22083, "1", 10, MPFR_RNDN); mpfr_init(r22084); mpfr_init(r22085); mpfr_init(r22086); mpfr_init(r22087); mpfr_init(r22088); mpfr_init(r22089); 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_set_str(r22100, "2", 10, MPFR_RNDN); mpfr_init(r22101); } double f_im(double x, double eps) { ; mpfr_set_d(r22084, eps, MPFR_RNDN); mpfr_div(r22085, r22083, r22084, MPFR_RNDN); mpfr_add(r22086, r22083, r22085, MPFR_RNDN); mpfr_sub(r22087, r22083, r22084, MPFR_RNDN); mpfr_set_d(r22088, x, MPFR_RNDN); mpfr_mul(r22089, r22087, r22088, MPFR_RNDN); mpfr_neg(r22090, r22089, MPFR_RNDN); mpfr_exp(r22091, r22090, MPFR_RNDN); mpfr_mul(r22092, r22086, r22091, MPFR_RNDN); mpfr_sub(r22093, r22085, r22083, MPFR_RNDN); mpfr_add(r22094, r22083, r22084, MPFR_RNDN); mpfr_mul(r22095, r22094, r22088, MPFR_RNDN); mpfr_neg(r22096, r22095, MPFR_RNDN); mpfr_exp(r22097, r22096, MPFR_RNDN); mpfr_mul(r22098, r22093, r22097, MPFR_RNDN); mpfr_sub(r22099, r22092, r22098, MPFR_RNDN); ; mpfr_div(r22101, r22099, r22100, MPFR_RNDN); return mpfr_get_d(r22101, MPFR_RNDN); } static mpfr_t r22102, r22103, r22104, r22105, r22106, r22107, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22102); mpfr_init_set_str(r22103, "188.77339467269178", 10, MPFR_RNDN); mpfr_init(r22104); mpfr_init_set_str(r22105, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22106, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22107, "3", 10, MPFR_RNDN); mpfr_init(r22108); mpfr_init(r22109); mpfr_init(r22110); mpfr_init(r22111); mpfr_init(r22112); mpfr_init(r22113); mpfr_init(r22114); mpfr_init(r22115); mpfr_init_set_str(r22116, "1", 10, MPFR_RNDN); mpfr_init(r22117); mpfr_init(r22118); mpfr_init(r22119); mpfr_init(r22120); mpfr_init(r22121); mpfr_init(r22122); mpfr_init(r22123); 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); } double f_fm(double x, double eps) { mpfr_set_d(r22102, x, MPFR_RNDN); ; mpfr_set_si(r22104, mpfr_cmp(r22102, r22103) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22108, r22102, r22107, MPFR_RNDN); mpfr_mul(r22109, r22106, r22108, MPFR_RNDN); mpfr_log1p(r22110, r22109, MPFR_RNDN); mpfr_expm1(r22111, r22110, MPFR_RNDN); mpfr_add(r22112, r22105, r22111, MPFR_RNDN); mpfr_pow(r22113, r22102, r22105, MPFR_RNDN); mpfr_sub(r22114, r22112, r22113, MPFR_RNDN); mpfr_div(r22115, r22114, r22105, MPFR_RNDN); ; mpfr_set_d(r22117, eps, MPFR_RNDN); mpfr_div(r22118, r22116, r22117, MPFR_RNDN); mpfr_add(r22119, r22116, r22118, MPFR_RNDN); mpfr_sub(r22120, r22116, r22117, MPFR_RNDN); mpfr_mul(r22121, r22120, r22102, MPFR_RNDN); mpfr_neg(r22122, r22121, MPFR_RNDN); mpfr_exp(r22123, r22122, MPFR_RNDN); mpfr_mul(r22124, r22119, r22123, MPFR_RNDN); mpfr_sub(r22125, r22118, r22116, MPFR_RNDN); mpfr_add(r22126, r22116, r22117, MPFR_RNDN); mpfr_mul(r22127, r22126, r22102, MPFR_RNDN); mpfr_neg(r22128, r22127, MPFR_RNDN); mpfr_exp(r22129, r22128, MPFR_RNDN); mpfr_mul(r22130, r22125, r22129, MPFR_RNDN); mpfr_sub(r22131, r22124, r22130, MPFR_RNDN); mpfr_sqrt(r22132, r22131, MPFR_RNDN); mpfr_mul(r22133, r22132, r22132, MPFR_RNDN); mpfr_div(r22134, r22133, r22105, MPFR_RNDN); if (mpfr_get_si(r22104, MPFR_RNDN)) { mpfr_set(r22135, r22115, MPFR_RNDN); } else { mpfr_set(r22135, r22134, MPFR_RNDN); }; return mpfr_get_d(r22135, MPFR_RNDN); } static mpfr_t r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r22136); mpfr_init_set_str(r22137, "188.77339467269178", 10, MPFR_RNDN); mpfr_init(r22138); mpfr_init_set_str(r22139, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22140, "2/3", 10, MPFR_RNDN); mpfr_init_set_str(r22141, "3", 10, MPFR_RNDN); mpfr_init(r22142); mpfr_init(r22143); mpfr_init(r22144); mpfr_init(r22145); mpfr_init(r22146); mpfr_init(r22147); mpfr_init(r22148); mpfr_init(r22149); mpfr_init_set_str(r22150, "1", 10, MPFR_RNDN); mpfr_init(r22151); mpfr_init(r22152); mpfr_init(r22153); mpfr_init(r22154); mpfr_init(r22155); mpfr_init(r22156); mpfr_init(r22157); mpfr_init(r22158); mpfr_init(r22159); mpfr_init(r22160); mpfr_init(r22161); mpfr_init(r22162); mpfr_init(r22163); mpfr_init(r22164); mpfr_init(r22165); mpfr_init(r22166); mpfr_init(r22167); mpfr_init(r22168); mpfr_init(r22169); } double f_dm(double x, double eps) { mpfr_set_d(r22136, x, MPFR_RNDN); ; mpfr_set_si(r22138, mpfr_cmp(r22136, r22137) <= 0, MPFR_RNDN); ; ; ; mpfr_pow(r22142, r22136, r22141, MPFR_RNDN); mpfr_mul(r22143, r22140, r22142, MPFR_RNDN); mpfr_log1p(r22144, r22143, MPFR_RNDN); mpfr_expm1(r22145, r22144, MPFR_RNDN); mpfr_add(r22146, r22139, r22145, MPFR_RNDN); mpfr_pow(r22147, r22136, r22139, MPFR_RNDN); mpfr_sub(r22148, r22146, r22147, MPFR_RNDN); mpfr_div(r22149, r22148, r22139, MPFR_RNDN); ; mpfr_set_d(r22151, eps, MPFR_RNDN); mpfr_div(r22152, r22150, r22151, MPFR_RNDN); mpfr_add(r22153, r22150, r22152, MPFR_RNDN); mpfr_sub(r22154, r22150, r22151, MPFR_RNDN); mpfr_mul(r22155, r22154, r22136, MPFR_RNDN); mpfr_neg(r22156, r22155, MPFR_RNDN); mpfr_exp(r22157, r22156, MPFR_RNDN); mpfr_mul(r22158, r22153, r22157, MPFR_RNDN); mpfr_sub(r22159, r22152, r22150, MPFR_RNDN); mpfr_add(r22160, r22150, r22151, MPFR_RNDN); mpfr_mul(r22161, r22160, r22136, MPFR_RNDN); mpfr_neg(r22162, r22161, MPFR_RNDN); mpfr_exp(r22163, r22162, MPFR_RNDN); mpfr_mul(r22164, r22159, r22163, MPFR_RNDN); mpfr_sub(r22165, r22158, r22164, MPFR_RNDN); mpfr_sqrt(r22166, r22165, MPFR_RNDN); mpfr_mul(r22167, r22166, r22166, MPFR_RNDN); mpfr_div(r22168, r22167, r22139, MPFR_RNDN); if (mpfr_get_si(r22138, MPFR_RNDN)) { mpfr_set(r22169, r22149, MPFR_RNDN); } else { mpfr_set(r22169, r22168, MPFR_RNDN); }; return mpfr_get_d(r22169, MPFR_RNDN); }