#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r24013 = eps; float r24014 = a; float r24015 = b; float r24016 = r24014 + r24015; float r24017 = r24016 * r24013; float r24018 = exp(r24017); float r24019 = 1; float r24020 = r24018 - r24019; float r24021 = r24013 * r24020; float r24022 = r24014 * r24013; float r24023 = exp(r24022); float r24024 = r24023 - r24019; float r24025 = r24015 * r24013; float r24026 = exp(r24025); float r24027 = r24026 - r24019; float r24028 = r24024 * r24027; float r24029 = r24021 / r24028; return r24029; } double f_id(double a, double b, double eps) { double r24030 = eps; double r24031 = a; double r24032 = b; double r24033 = r24031 + r24032; double r24034 = r24033 * r24030; double r24035 = exp(r24034); double r24036 = 1; double r24037 = r24035 - r24036; double r24038 = r24030 * r24037; double r24039 = r24031 * r24030; double r24040 = exp(r24039); double r24041 = r24040 - r24036; double r24042 = r24032 * r24030; double r24043 = exp(r24042); double r24044 = r24043 - r24036; double r24045 = r24041 * r24044; double r24046 = r24038 / r24045; return r24046; } double f_of(float a, float b, float eps) { float r24047 = 1; float r24048 = b; float r24049 = r24047 / r24048; float r24050 = a; float r24051 = r24047 / r24050; float r24052 = r24049 + r24051; float r24053 = -3.616429613952119e-18; bool r24054 = r24052 <= r24053; float r24055 = 3.0085043408699374e-32; bool r24056 = r24052 <= r24055; float r24057 = eps; float r24058 = r24050 * r24057; float r24059 = expm1(r24058); float r24060 = r24057 / r24059; float r24061 = r24048 + r24050; float r24062 = r24061 * r24057; float r24063 = expm1(r24062); float r24064 = r24057 * r24048; float r24065 = expm1(r24064); float r24066 = r24063 / r24065; float r24067 = r24060 * r24066; float r24068 = r24056 ? r24067 : r24052; float r24069 = r24054 ? r24052 : r24068; return r24069; } double f_od(double a, double b, double eps) { double r24070 = 1; double r24071 = b; double r24072 = r24070 / r24071; double r24073 = a; double r24074 = r24070 / r24073; double r24075 = r24072 + r24074; double r24076 = -3.616429613952119e-18; bool r24077 = r24075 <= r24076; double r24078 = 3.0085043408699374e-32; bool r24079 = r24075 <= r24078; double r24080 = eps; double r24081 = r24073 * r24080; double r24082 = expm1(r24081); double r24083 = r24080 / r24082; double r24084 = r24071 + r24073; double r24085 = r24084 * r24080; double r24086 = expm1(r24085); double r24087 = r24080 * r24071; double r24088 = expm1(r24087); double r24089 = r24086 / r24088; double r24090 = r24083 * r24089; double r24091 = r24079 ? r24090 : r24075; double r24092 = r24077 ? r24075 : r24091; return r24092; } 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 r24093, r24094, r24095, r24096, r24097, r24098, r24099, r24100, r24101, r24102, r24103, r24104, r24105, r24106, r24107, r24108, r24109; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r24093); mpfr_init(r24094); mpfr_init(r24095); mpfr_init(r24096); mpfr_init(r24097); mpfr_init(r24098); mpfr_init_set_str(r24099, "1", 10, MPFR_RNDN); mpfr_init(r24100); mpfr_init(r24101); mpfr_init(r24102); mpfr_init(r24103); mpfr_init(r24104); mpfr_init(r24105); mpfr_init(r24106); mpfr_init(r24107); mpfr_init(r24108); mpfr_init(r24109); } double f_im(double a, double b, double eps) { mpfr_set_d(r24093, eps, MPFR_RNDN); mpfr_set_d(r24094, a, MPFR_RNDN); mpfr_set_d(r24095, b, MPFR_RNDN); mpfr_add(r24096, r24094, r24095, MPFR_RNDN); mpfr_mul(r24097, r24096, r24093, MPFR_RNDN); mpfr_exp(r24098, r24097, MPFR_RNDN); ; mpfr_sub(r24100, r24098, r24099, MPFR_RNDN); mpfr_mul(r24101, r24093, r24100, MPFR_RNDN); mpfr_mul(r24102, r24094, r24093, MPFR_RNDN); mpfr_exp(r24103, r24102, MPFR_RNDN); mpfr_sub(r24104, r24103, r24099, MPFR_RNDN); mpfr_mul(r24105, r24095, r24093, MPFR_RNDN); mpfr_exp(r24106, r24105, MPFR_RNDN); mpfr_sub(r24107, r24106, r24099, MPFR_RNDN); mpfr_mul(r24108, r24104, r24107, MPFR_RNDN); mpfr_div(r24109, r24101, r24108, MPFR_RNDN); return mpfr_get_d(r24109, MPFR_RNDN); } static mpfr_t r24110, r24111, r24112, r24113, r24114, r24115, r24116, r24117, r24118, r24119, r24120, r24121, r24122, r24123, r24124, r24125, r24126, r24127, r24128, r24129, r24130, r24131, r24132; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r24110, "1", 10, MPFR_RNDN); mpfr_init(r24111); mpfr_init(r24112); mpfr_init(r24113); mpfr_init(r24114); mpfr_init(r24115); mpfr_init_set_str(r24116, "-3.616429613952119e-18", 10, MPFR_RNDN); mpfr_init(r24117); mpfr_init_set_str(r24118, "3.0085043408699374e-32", 10, MPFR_RNDN); mpfr_init(r24119); mpfr_init(r24120); mpfr_init(r24121); mpfr_init(r24122); mpfr_init(r24123); mpfr_init(r24124); mpfr_init(r24125); mpfr_init(r24126); mpfr_init(r24127); mpfr_init(r24128); mpfr_init(r24129); mpfr_init(r24130); mpfr_init(r24131); mpfr_init(r24132); } double f_fm(double a, double b, double eps) { ; mpfr_set_d(r24111, b, MPFR_RNDN); mpfr_div(r24112, r24110, r24111, MPFR_RNDN); mpfr_set_d(r24113, a, MPFR_RNDN); mpfr_div(r24114, r24110, r24113, MPFR_RNDN); mpfr_add(r24115, r24112, r24114, MPFR_RNDN); ; mpfr_set_si(r24117, mpfr_cmp(r24115, r24116) <= 0, MPFR_RNDN); ; mpfr_set_si(r24119, mpfr_cmp(r24115, r24118) <= 0, MPFR_RNDN); mpfr_set_d(r24120, eps, MPFR_RNDN); mpfr_mul(r24121, r24113, r24120, MPFR_RNDN); mpfr_expm1(r24122, r24121, MPFR_RNDN); mpfr_div(r24123, r24120, r24122, MPFR_RNDN); mpfr_add(r24124, r24111, r24113, MPFR_RNDN); mpfr_mul(r24125, r24124, r24120, MPFR_RNDN); mpfr_expm1(r24126, r24125, MPFR_RNDN); mpfr_mul(r24127, r24120, r24111, MPFR_RNDN); mpfr_expm1(r24128, r24127, MPFR_RNDN); mpfr_div(r24129, r24126, r24128, MPFR_RNDN); mpfr_mul(r24130, r24123, r24129, MPFR_RNDN); if (mpfr_get_si(r24119, MPFR_RNDN)) { mpfr_set(r24131, r24130, MPFR_RNDN); } else { mpfr_set(r24131, r24115, MPFR_RNDN); }; if (mpfr_get_si(r24117, MPFR_RNDN)) { mpfr_set(r24132, r24115, MPFR_RNDN); } else { mpfr_set(r24132, r24131, MPFR_RNDN); }; return mpfr_get_d(r24132, MPFR_RNDN); } static mpfr_t r24133, r24134, r24135, r24136, r24137, r24138, r24139, r24140, r24141, r24142, r24143, r24144, r24145, r24146, r24147, r24148, r24149, r24150, r24151, r24152, r24153, r24154, r24155; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r24133, "1", 10, MPFR_RNDN); mpfr_init(r24134); mpfr_init(r24135); mpfr_init(r24136); mpfr_init(r24137); mpfr_init(r24138); mpfr_init_set_str(r24139, "-3.616429613952119e-18", 10, MPFR_RNDN); mpfr_init(r24140); mpfr_init_set_str(r24141, "3.0085043408699374e-32", 10, MPFR_RNDN); mpfr_init(r24142); mpfr_init(r24143); mpfr_init(r24144); mpfr_init(r24145); mpfr_init(r24146); mpfr_init(r24147); mpfr_init(r24148); mpfr_init(r24149); mpfr_init(r24150); mpfr_init(r24151); mpfr_init(r24152); mpfr_init(r24153); mpfr_init(r24154); mpfr_init(r24155); } double f_dm(double a, double b, double eps) { ; mpfr_set_d(r24134, b, MPFR_RNDN); mpfr_div(r24135, r24133, r24134, MPFR_RNDN); mpfr_set_d(r24136, a, MPFR_RNDN); mpfr_div(r24137, r24133, r24136, MPFR_RNDN); mpfr_add(r24138, r24135, r24137, MPFR_RNDN); ; mpfr_set_si(r24140, mpfr_cmp(r24138, r24139) <= 0, MPFR_RNDN); ; mpfr_set_si(r24142, mpfr_cmp(r24138, r24141) <= 0, MPFR_RNDN); mpfr_set_d(r24143, eps, MPFR_RNDN); mpfr_mul(r24144, r24136, r24143, MPFR_RNDN); mpfr_expm1(r24145, r24144, MPFR_RNDN); mpfr_div(r24146, r24143, r24145, MPFR_RNDN); mpfr_add(r24147, r24134, r24136, MPFR_RNDN); mpfr_mul(r24148, r24147, r24143, MPFR_RNDN); mpfr_expm1(r24149, r24148, MPFR_RNDN); mpfr_mul(r24150, r24143, r24134, MPFR_RNDN); mpfr_expm1(r24151, r24150, MPFR_RNDN); mpfr_div(r24152, r24149, r24151, MPFR_RNDN); mpfr_mul(r24153, r24146, r24152, MPFR_RNDN); if (mpfr_get_si(r24142, MPFR_RNDN)) { mpfr_set(r24154, r24153, MPFR_RNDN); } else { mpfr_set(r24154, r24138, MPFR_RNDN); }; if (mpfr_get_si(r24140, MPFR_RNDN)) { mpfr_set(r24155, r24138, MPFR_RNDN); } else { mpfr_set(r24155, r24154, MPFR_RNDN); }; return mpfr_get_d(r24155, MPFR_RNDN); }