#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r21930 = x; float r21931 = 1; float r21932 = r21930 + r21931; float r21933 = n; float r21934 = r21931 / r21933; float r21935 = pow(r21932, r21934); float r21936 = pow(r21930, r21934); float r21937 = r21935 - r21936; return r21937; } double f_id(double x, double n) { double r21938 = x; double r21939 = 1; double r21940 = r21938 + r21939; double r21941 = n; double r21942 = r21939 / r21941; double r21943 = pow(r21940, r21942); double r21944 = pow(r21938, r21942); double r21945 = r21943 - r21944; return r21945; } double f_of(float x, float n) { float r21946 = x; float r21947 = log1p(r21946); float r21948 = n; float r21949 = r21947 / r21948; float r21950 = expm1(r21949); float r21951 = 1/2; float r21952 = r21948 * r21948; float r21953 = r21951 / r21952; float r21954 = log(r21946); float r21955 = r21954 * r21954; float r21956 = r21954 / r21948; float r21957 = fma(r21953, r21955, r21956); float r21958 = r21950 - r21957; float r21959 = -9.3992157509438e-09; bool r21960 = r21958 <= r21959; float r21961 = 1; float r21962 = r21961 + r21946; float r21963 = sqrt(r21962); float r21964 = r21961 / r21948; float r21965 = pow(r21963, r21964); float r21966 = pow(r21946, r21964); float r21967 = sqrt(r21966); float r21968 = r21965 + r21967; float r21969 = r21965 - r21967; float r21970 = r21968 * r21969; float r21971 = exp(r21970); float r21972 = log(r21971); float r21973 = -3.2291770987512184e-292; bool r21974 = r21958 <= r21973; float r21975 = 0.0; bool r21976 = r21958 <= r21975; float r21977 = r21946 * r21948; float r21978 = r21961 / r21977; float r21979 = -1/2; float r21980 = r21979 / r21946; float r21981 = r21980 / r21977; float r21982 = r21978 + r21981; float r21983 = r21954 / r21946; float r21984 = r21983 / r21952; float r21985 = r21982 + r21984; float r21986 = r21976 ? r21985 : r21958; float r21987 = r21974 ? r21958 : r21986; float r21988 = r21960 ? r21972 : r21987; return r21988; } double f_od(double x, double n) { double r21989 = x; double r21990 = log1p(r21989); double r21991 = n; double r21992 = r21990 / r21991; double r21993 = expm1(r21992); double r21994 = 1/2; double r21995 = r21991 * r21991; double r21996 = r21994 / r21995; double r21997 = log(r21989); double r21998 = r21997 * r21997; double r21999 = r21997 / r21991; double r22000 = fma(r21996, r21998, r21999); double r22001 = r21993 - r22000; double r22002 = -9.3992157509438e-09; bool r22003 = r22001 <= r22002; double r22004 = 1; double r22005 = r22004 + r21989; double r22006 = sqrt(r22005); double r22007 = r22004 / r21991; double r22008 = pow(r22006, r22007); double r22009 = pow(r21989, r22007); double r22010 = sqrt(r22009); double r22011 = r22008 + r22010; double r22012 = r22008 - r22010; double r22013 = r22011 * r22012; double r22014 = exp(r22013); double r22015 = log(r22014); double r22016 = -3.2291770987512184e-292; bool r22017 = r22001 <= r22016; double r22018 = 0.0; bool r22019 = r22001 <= r22018; double r22020 = r21989 * r21991; double r22021 = r22004 / r22020; double r22022 = -1/2; double r22023 = r22022 / r21989; double r22024 = r22023 / r22020; double r22025 = r22021 + r22024; double r22026 = r21997 / r21989; double r22027 = r22026 / r21995; double r22028 = r22025 + r22027; double r22029 = r22019 ? r22028 : r22001; double r22030 = r22017 ? r22001 : r22029; double r22031 = r22003 ? r22015 : r22030; return r22031; } 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 r22032, r22033, r22034, r22035, r22036, r22037, r22038, r22039; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22032); mpfr_init_set_str(r22033, "1", 10, MPFR_RNDN); mpfr_init(r22034); mpfr_init(r22035); mpfr_init(r22036); mpfr_init(r22037); mpfr_init(r22038); mpfr_init(r22039); } double f_im(double x, double n) { mpfr_set_d(r22032, x, MPFR_RNDN); ; mpfr_add(r22034, r22032, r22033, MPFR_RNDN); mpfr_set_d(r22035, n, MPFR_RNDN); mpfr_div(r22036, r22033, r22035, MPFR_RNDN); mpfr_pow(r22037, r22034, r22036, MPFR_RNDN); mpfr_pow(r22038, r22032, r22036, MPFR_RNDN); mpfr_sub(r22039, r22037, r22038, MPFR_RNDN); return mpfr_get_d(r22039, MPFR_RNDN); } static mpfr_t r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22040); mpfr_init(r22041); mpfr_init(r22042); mpfr_init(r22043); mpfr_init(r22044); mpfr_init_set_str(r22045, "1/2", 10, MPFR_RNDN); mpfr_init(r22046); mpfr_init(r22047); mpfr_init(r22048); mpfr_init(r22049); mpfr_init(r22050); mpfr_init(r22051); mpfr_init(r22052); mpfr_init_set_str(r22053, "-9.3992157509438e-09", 10, MPFR_RNDN); mpfr_init(r22054); 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_set_str(r22067, "-3.2291770987512184e-292", 10, MPFR_RNDN); mpfr_init(r22068); mpfr_init_set_str(r22069, "0.0", 10, MPFR_RNDN); mpfr_init(r22070); mpfr_init(r22071); mpfr_init(r22072); mpfr_init_set_str(r22073, "-1/2", 10, MPFR_RNDN); mpfr_init(r22074); mpfr_init(r22075); mpfr_init(r22076); mpfr_init(r22077); mpfr_init(r22078); mpfr_init(r22079); mpfr_init(r22080); mpfr_init(r22081); mpfr_init(r22082); } double f_fm(double x, double n) { mpfr_set_d(r22040, x, MPFR_RNDN); mpfr_log1p(r22041, r22040, MPFR_RNDN); mpfr_set_d(r22042, n, MPFR_RNDN); mpfr_div(r22043, r22041, r22042, MPFR_RNDN); mpfr_expm1(r22044, r22043, MPFR_RNDN); ; mpfr_mul(r22046, r22042, r22042, MPFR_RNDN); mpfr_div(r22047, r22045, r22046, MPFR_RNDN); mpfr_log(r22048, r22040, MPFR_RNDN); mpfr_mul(r22049, r22048, r22048, MPFR_RNDN); mpfr_div(r22050, r22048, r22042, MPFR_RNDN); mpfr_fma(r22051, r22047, r22049, r22050, MPFR_RNDN); mpfr_sub(r22052, r22044, r22051, MPFR_RNDN); ; mpfr_set_si(r22054, mpfr_cmp(r22052, r22053) <= 0, MPFR_RNDN); ; mpfr_add(r22056, r22055, r22040, MPFR_RNDN); mpfr_sqrt(r22057, r22056, MPFR_RNDN); mpfr_div(r22058, r22055, r22042, MPFR_RNDN); mpfr_pow(r22059, r22057, r22058, MPFR_RNDN); mpfr_pow(r22060, r22040, r22058, MPFR_RNDN); mpfr_sqrt(r22061, r22060, MPFR_RNDN); mpfr_add(r22062, r22059, r22061, MPFR_RNDN); mpfr_sub(r22063, r22059, r22061, MPFR_RNDN); mpfr_mul(r22064, r22062, r22063, MPFR_RNDN); mpfr_exp(r22065, r22064, MPFR_RNDN); mpfr_log(r22066, r22065, MPFR_RNDN); ; mpfr_set_si(r22068, mpfr_cmp(r22052, r22067) <= 0, MPFR_RNDN); ; mpfr_set_si(r22070, mpfr_cmp(r22052, r22069) <= 0, MPFR_RNDN); mpfr_mul(r22071, r22040, r22042, MPFR_RNDN); mpfr_div(r22072, r22055, r22071, MPFR_RNDN); ; mpfr_div(r22074, r22073, r22040, MPFR_RNDN); mpfr_div(r22075, r22074, r22071, MPFR_RNDN); mpfr_add(r22076, r22072, r22075, MPFR_RNDN); mpfr_div(r22077, r22048, r22040, MPFR_RNDN); mpfr_div(r22078, r22077, r22046, MPFR_RNDN); mpfr_add(r22079, r22076, r22078, MPFR_RNDN); if (mpfr_get_si(r22070, MPFR_RNDN)) { mpfr_set(r22080, r22079, MPFR_RNDN); } else { mpfr_set(r22080, r22052, MPFR_RNDN); }; if (mpfr_get_si(r22068, MPFR_RNDN)) { mpfr_set(r22081, r22052, MPFR_RNDN); } else { mpfr_set(r22081, r22080, MPFR_RNDN); }; if (mpfr_get_si(r22054, MPFR_RNDN)) { mpfr_set(r22082, r22066, MPFR_RNDN); } else { mpfr_set(r22082, r22081, MPFR_RNDN); }; return mpfr_get_d(r22082, MPFR_RNDN); } static mpfr_t 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, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r22083); mpfr_init(r22084); mpfr_init(r22085); mpfr_init(r22086); mpfr_init(r22087); mpfr_init_set_str(r22088, "1/2", 10, MPFR_RNDN); mpfr_init(r22089); mpfr_init(r22090); mpfr_init(r22091); mpfr_init(r22092); mpfr_init(r22093); mpfr_init(r22094); mpfr_init(r22095); mpfr_init_set_str(r22096, "-9.3992157509438e-09", 10, MPFR_RNDN); mpfr_init(r22097); mpfr_init_set_str(r22098, "1", 10, MPFR_RNDN); 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); mpfr_init(r22108); mpfr_init(r22109); mpfr_init_set_str(r22110, "-3.2291770987512184e-292", 10, MPFR_RNDN); mpfr_init(r22111); mpfr_init_set_str(r22112, "0.0", 10, MPFR_RNDN); mpfr_init(r22113); mpfr_init(r22114); mpfr_init(r22115); mpfr_init_set_str(r22116, "-1/2", 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); } double f_dm(double x, double n) { mpfr_set_d(r22083, x, MPFR_RNDN); mpfr_log1p(r22084, r22083, MPFR_RNDN); mpfr_set_d(r22085, n, MPFR_RNDN); mpfr_div(r22086, r22084, r22085, MPFR_RNDN); mpfr_expm1(r22087, r22086, MPFR_RNDN); ; mpfr_mul(r22089, r22085, r22085, MPFR_RNDN); mpfr_div(r22090, r22088, r22089, MPFR_RNDN); mpfr_log(r22091, r22083, MPFR_RNDN); mpfr_mul(r22092, r22091, r22091, MPFR_RNDN); mpfr_div(r22093, r22091, r22085, MPFR_RNDN); mpfr_fma(r22094, r22090, r22092, r22093, MPFR_RNDN); mpfr_sub(r22095, r22087, r22094, MPFR_RNDN); ; mpfr_set_si(r22097, mpfr_cmp(r22095, r22096) <= 0, MPFR_RNDN); ; mpfr_add(r22099, r22098, r22083, MPFR_RNDN); mpfr_sqrt(r22100, r22099, MPFR_RNDN); mpfr_div(r22101, r22098, r22085, MPFR_RNDN); mpfr_pow(r22102, r22100, r22101, MPFR_RNDN); mpfr_pow(r22103, r22083, r22101, MPFR_RNDN); mpfr_sqrt(r22104, r22103, MPFR_RNDN); mpfr_add(r22105, r22102, r22104, MPFR_RNDN); mpfr_sub(r22106, r22102, r22104, MPFR_RNDN); mpfr_mul(r22107, r22105, r22106, MPFR_RNDN); mpfr_exp(r22108, r22107, MPFR_RNDN); mpfr_log(r22109, r22108, MPFR_RNDN); ; mpfr_set_si(r22111, mpfr_cmp(r22095, r22110) <= 0, MPFR_RNDN); ; mpfr_set_si(r22113, mpfr_cmp(r22095, r22112) <= 0, MPFR_RNDN); mpfr_mul(r22114, r22083, r22085, MPFR_RNDN); mpfr_div(r22115, r22098, r22114, MPFR_RNDN); ; mpfr_div(r22117, r22116, r22083, MPFR_RNDN); mpfr_div(r22118, r22117, r22114, MPFR_RNDN); mpfr_add(r22119, r22115, r22118, MPFR_RNDN); mpfr_div(r22120, r22091, r22083, MPFR_RNDN); mpfr_div(r22121, r22120, r22089, MPFR_RNDN); mpfr_add(r22122, r22119, r22121, MPFR_RNDN); if (mpfr_get_si(r22113, MPFR_RNDN)) { mpfr_set(r22123, r22122, MPFR_RNDN); } else { mpfr_set(r22123, r22095, MPFR_RNDN); }; if (mpfr_get_si(r22111, MPFR_RNDN)) { mpfr_set(r22124, r22095, MPFR_RNDN); } else { mpfr_set(r22124, r22123, MPFR_RNDN); }; if (mpfr_get_si(r22097, MPFR_RNDN)) { mpfr_set(r22125, r22109, MPFR_RNDN); } else { mpfr_set(r22125, r22124, MPFR_RNDN); }; return mpfr_get_d(r22125, MPFR_RNDN); }