#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22953 = x; float r22954 = 1; float r22955 = r22953 + r22954; float r22956 = n; float r22957 = r22954 / r22956; float r22958 = pow(r22955, r22957); float r22959 = pow(r22953, r22957); float r22960 = r22958 - r22959; return r22960; } double f_id(double x, double n) { double r22961 = x; double r22962 = 1; double r22963 = r22961 + r22962; double r22964 = n; double r22965 = r22962 / r22964; double r22966 = pow(r22963, r22965); double r22967 = pow(r22961, r22965); double r22968 = r22966 - r22967; return r22968; } double f_of(float x, float n) { float r22969 = 1; float r22970 = x; float r22971 = n; float r22972 = r22970 * r22971; float r22973 = r22969 / r22972; float r22974 = 1/2; float r22975 = r22974 / r22970; float r22976 = r22975 / r22972; float r22977 = r22973 - r22976; float r22978 = log(r22970); float r22979 = r22971 * r22971; float r22980 = r22979 * r22970; float r22981 = r22978 / r22980; float r22982 = r22977 + r22981; float r22983 = -9.596515768385815e-140; bool r22984 = r22982 <= r22983; float r22985 = r22969 + r22970; float r22986 = r22969 / r22971; float r22987 = pow(r22985, r22986); float r22988 = r22987 - r22969; float r22989 = r22974 / r22971; float r22990 = r22978 * r22989; float r22991 = r22971 / r22978; float r22992 = r22990 / r22991; float r22993 = r22988 - r22992; float r22994 = r22978 / r22971; float r22995 = r22993 - r22994; float r22996 = 5.887788298438699e-128; bool r22997 = r22982 <= r22996; float r22998 = r22986 / r22970; float r22999 = r22970 * r22970; float r23000 = r22989 / r22999; float r23001 = r22998 - r23000; float r23002 = r22971 * r22970; float r23003 = r23002 * r22971; float r23004 = r22978 / r23003; float r23005 = r23001 + r23004; float r23006 = 7.112718915844009e-68; bool r23007 = r22982 <= r23006; float r23008 = 5.34551359380326e-47; bool r23009 = r22982 <= r23008; float r23010 = 1.648020592524775e+61; bool r23011 = r22982 <= r23010; float r23012 = r22970 + r22969; float r23013 = cbrt(r23012); float r23014 = r23013 * r23013; float r23015 = pow(r23014, r22986); float r23016 = pow(r23013, r22986); float r23017 = r23015 * r23016; float r23018 = pow(r22970, r22986); float r23019 = r23017 - r23018; float r23020 = 5.833877271865195e+293; bool r23021 = r22982 <= r23020; float r23022 = r23021 ? r22995 : r23019; float r23023 = r23011 ? r23019 : r23022; float r23024 = r23009 ? r22982 : r23023; float r23025 = r23007 ? r22995 : r23024; float r23026 = r22997 ? r23005 : r23025; float r23027 = r22984 ? r22995 : r23026; return r23027; } double f_od(double x, double n) { double r23028 = 1; double r23029 = x; double r23030 = n; double r23031 = r23029 * r23030; double r23032 = r23028 / r23031; double r23033 = 1/2; double r23034 = r23033 / r23029; double r23035 = r23034 / r23031; double r23036 = r23032 - r23035; double r23037 = log(r23029); double r23038 = r23030 * r23030; double r23039 = r23038 * r23029; double r23040 = r23037 / r23039; double r23041 = r23036 + r23040; double r23042 = -9.596515768385815e-140; bool r23043 = r23041 <= r23042; double r23044 = r23028 + r23029; double r23045 = r23028 / r23030; double r23046 = pow(r23044, r23045); double r23047 = r23046 - r23028; double r23048 = r23033 / r23030; double r23049 = r23037 * r23048; double r23050 = r23030 / r23037; double r23051 = r23049 / r23050; double r23052 = r23047 - r23051; double r23053 = r23037 / r23030; double r23054 = r23052 - r23053; double r23055 = 5.887788298438699e-128; bool r23056 = r23041 <= r23055; double r23057 = r23045 / r23029; double r23058 = r23029 * r23029; double r23059 = r23048 / r23058; double r23060 = r23057 - r23059; double r23061 = r23030 * r23029; double r23062 = r23061 * r23030; double r23063 = r23037 / r23062; double r23064 = r23060 + r23063; double r23065 = 7.112718915844009e-68; bool r23066 = r23041 <= r23065; double r23067 = 5.34551359380326e-47; bool r23068 = r23041 <= r23067; double r23069 = 1.648020592524775e+61; bool r23070 = r23041 <= r23069; double r23071 = r23029 + r23028; double r23072 = cbrt(r23071); double r23073 = r23072 * r23072; double r23074 = pow(r23073, r23045); double r23075 = pow(r23072, r23045); double r23076 = r23074 * r23075; double r23077 = pow(r23029, r23045); double r23078 = r23076 - r23077; double r23079 = 5.833877271865195e+293; bool r23080 = r23041 <= r23079; double r23081 = r23080 ? r23054 : r23078; double r23082 = r23070 ? r23078 : r23081; double r23083 = r23068 ? r23041 : r23082; double r23084 = r23066 ? r23054 : r23083; double r23085 = r23056 ? r23064 : r23084; double r23086 = r23043 ? r23054 : r23085; return r23086; } 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 r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r23087); mpfr_init_set_str(r23088, "1", 10, MPFR_RNDN); mpfr_init(r23089); mpfr_init(r23090); mpfr_init(r23091); mpfr_init(r23092); mpfr_init(r23093); mpfr_init(r23094); } double f_im(double x, double n) { mpfr_set_d(r23087, x, MPFR_RNDN); ; mpfr_add(r23089, r23087, r23088, MPFR_RNDN); mpfr_set_d(r23090, n, MPFR_RNDN); mpfr_div(r23091, r23088, r23090, MPFR_RNDN); mpfr_pow(r23092, r23089, r23091, MPFR_RNDN); mpfr_pow(r23093, r23087, r23091, MPFR_RNDN); mpfr_sub(r23094, r23092, r23093, MPFR_RNDN); return mpfr_get_d(r23094, MPFR_RNDN); } static mpfr_t r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23095, "1", 10, MPFR_RNDN); mpfr_init(r23096); mpfr_init(r23097); mpfr_init(r23098); mpfr_init(r23099); mpfr_init_set_str(r23100, "1/2", 10, MPFR_RNDN); mpfr_init(r23101); mpfr_init(r23102); mpfr_init(r23103); mpfr_init(r23104); mpfr_init(r23105); mpfr_init(r23106); mpfr_init(r23107); mpfr_init(r23108); mpfr_init_set_str(r23109, "-9.596515768385815e-140", 10, MPFR_RNDN); mpfr_init(r23110); mpfr_init(r23111); mpfr_init(r23112); mpfr_init(r23113); mpfr_init(r23114); mpfr_init(r23115); mpfr_init(r23116); mpfr_init(r23117); mpfr_init(r23118); mpfr_init(r23119); mpfr_init(r23120); mpfr_init(r23121); mpfr_init_set_str(r23122, "5.887788298438699e-128", 10, MPFR_RNDN); mpfr_init(r23123); mpfr_init(r23124); mpfr_init(r23125); mpfr_init(r23126); mpfr_init(r23127); mpfr_init(r23128); mpfr_init(r23129); mpfr_init(r23130); mpfr_init(r23131); mpfr_init_set_str(r23132, "7.112718915844009e-68", 10, MPFR_RNDN); mpfr_init(r23133); mpfr_init_set_str(r23134, "5.34551359380326e-47", 10, MPFR_RNDN); mpfr_init(r23135); mpfr_init_set_str(r23136, "1.648020592524775e+61", 10, MPFR_RNDN); mpfr_init(r23137); mpfr_init(r23138); mpfr_init(r23139); mpfr_init(r23140); mpfr_init(r23141); mpfr_init(r23142); mpfr_init(r23143); mpfr_init(r23144); mpfr_init(r23145); mpfr_init_set_str(r23146, "5.833877271865195e+293", 10, MPFR_RNDN); mpfr_init(r23147); mpfr_init(r23148); mpfr_init(r23149); mpfr_init(r23150); mpfr_init(r23151); mpfr_init(r23152); mpfr_init(r23153); } double f_fm(double x, double n) { ; mpfr_set_d(r23096, x, MPFR_RNDN); mpfr_set_d(r23097, n, MPFR_RNDN); mpfr_mul(r23098, r23096, r23097, MPFR_RNDN); mpfr_div(r23099, r23095, r23098, MPFR_RNDN); ; mpfr_div(r23101, r23100, r23096, MPFR_RNDN); mpfr_div(r23102, r23101, r23098, MPFR_RNDN); mpfr_sub(r23103, r23099, r23102, MPFR_RNDN); mpfr_log(r23104, r23096, MPFR_RNDN); mpfr_mul(r23105, r23097, r23097, MPFR_RNDN); mpfr_mul(r23106, r23105, r23096, MPFR_RNDN); mpfr_div(r23107, r23104, r23106, MPFR_RNDN); mpfr_add(r23108, r23103, r23107, MPFR_RNDN); ; mpfr_set_si(r23110, mpfr_cmp(r23108, r23109) <= 0, MPFR_RNDN); mpfr_add(r23111, r23095, r23096, MPFR_RNDN); mpfr_div(r23112, r23095, r23097, MPFR_RNDN); mpfr_pow(r23113, r23111, r23112, MPFR_RNDN); mpfr_sub(r23114, r23113, r23095, MPFR_RNDN); mpfr_div(r23115, r23100, r23097, MPFR_RNDN); mpfr_mul(r23116, r23104, r23115, MPFR_RNDN); mpfr_div(r23117, r23097, r23104, MPFR_RNDN); mpfr_div(r23118, r23116, r23117, MPFR_RNDN); mpfr_sub(r23119, r23114, r23118, MPFR_RNDN); mpfr_div(r23120, r23104, r23097, MPFR_RNDN); mpfr_sub(r23121, r23119, r23120, MPFR_RNDN); ; mpfr_set_si(r23123, mpfr_cmp(r23108, r23122) <= 0, MPFR_RNDN); mpfr_div(r23124, r23112, r23096, MPFR_RNDN); mpfr_mul(r23125, r23096, r23096, MPFR_RNDN); mpfr_div(r23126, r23115, r23125, MPFR_RNDN); mpfr_sub(r23127, r23124, r23126, MPFR_RNDN); mpfr_mul(r23128, r23097, r23096, MPFR_RNDN); mpfr_mul(r23129, r23128, r23097, MPFR_RNDN); mpfr_div(r23130, r23104, r23129, MPFR_RNDN); mpfr_add(r23131, r23127, r23130, MPFR_RNDN); ; mpfr_set_si(r23133, mpfr_cmp(r23108, r23132) <= 0, MPFR_RNDN); ; mpfr_set_si(r23135, mpfr_cmp(r23108, r23134) <= 0, MPFR_RNDN); ; mpfr_set_si(r23137, mpfr_cmp(r23108, r23136) <= 0, MPFR_RNDN); mpfr_add(r23138, r23096, r23095, MPFR_RNDN); mpfr_cbrt(r23139, r23138, MPFR_RNDN); mpfr_mul(r23140, r23139, r23139, MPFR_RNDN); mpfr_pow(r23141, r23140, r23112, MPFR_RNDN); mpfr_pow(r23142, r23139, r23112, MPFR_RNDN); mpfr_mul(r23143, r23141, r23142, MPFR_RNDN); mpfr_pow(r23144, r23096, r23112, MPFR_RNDN); mpfr_sub(r23145, r23143, r23144, MPFR_RNDN); ; mpfr_set_si(r23147, mpfr_cmp(r23108, r23146) <= 0, MPFR_RNDN); if (mpfr_get_si(r23147, MPFR_RNDN)) { mpfr_set(r23148, r23121, MPFR_RNDN); } else { mpfr_set(r23148, r23145, MPFR_RNDN); }; if (mpfr_get_si(r23137, MPFR_RNDN)) { mpfr_set(r23149, r23145, MPFR_RNDN); } else { mpfr_set(r23149, r23148, MPFR_RNDN); }; if (mpfr_get_si(r23135, MPFR_RNDN)) { mpfr_set(r23150, r23108, MPFR_RNDN); } else { mpfr_set(r23150, r23149, MPFR_RNDN); }; if (mpfr_get_si(r23133, MPFR_RNDN)) { mpfr_set(r23151, r23121, MPFR_RNDN); } else { mpfr_set(r23151, r23150, MPFR_RNDN); }; if (mpfr_get_si(r23123, MPFR_RNDN)) { mpfr_set(r23152, r23131, MPFR_RNDN); } else { mpfr_set(r23152, r23151, MPFR_RNDN); }; if (mpfr_get_si(r23110, MPFR_RNDN)) { mpfr_set(r23153, r23121, MPFR_RNDN); } else { mpfr_set(r23153, r23152, MPFR_RNDN); }; return mpfr_get_d(r23153, MPFR_RNDN); } static mpfr_t r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23154, "1", 10, MPFR_RNDN); mpfr_init(r23155); mpfr_init(r23156); mpfr_init(r23157); mpfr_init(r23158); mpfr_init_set_str(r23159, "1/2", 10, MPFR_RNDN); mpfr_init(r23160); mpfr_init(r23161); mpfr_init(r23162); mpfr_init(r23163); mpfr_init(r23164); mpfr_init(r23165); mpfr_init(r23166); mpfr_init(r23167); mpfr_init_set_str(r23168, "-9.596515768385815e-140", 10, MPFR_RNDN); mpfr_init(r23169); mpfr_init(r23170); mpfr_init(r23171); mpfr_init(r23172); mpfr_init(r23173); mpfr_init(r23174); mpfr_init(r23175); mpfr_init(r23176); mpfr_init(r23177); mpfr_init(r23178); mpfr_init(r23179); mpfr_init(r23180); mpfr_init_set_str(r23181, "5.887788298438699e-128", 10, MPFR_RNDN); mpfr_init(r23182); mpfr_init(r23183); mpfr_init(r23184); mpfr_init(r23185); mpfr_init(r23186); mpfr_init(r23187); mpfr_init(r23188); mpfr_init(r23189); mpfr_init(r23190); mpfr_init_set_str(r23191, "7.112718915844009e-68", 10, MPFR_RNDN); mpfr_init(r23192); mpfr_init_set_str(r23193, "5.34551359380326e-47", 10, MPFR_RNDN); mpfr_init(r23194); mpfr_init_set_str(r23195, "1.648020592524775e+61", 10, MPFR_RNDN); mpfr_init(r23196); mpfr_init(r23197); mpfr_init(r23198); mpfr_init(r23199); mpfr_init(r23200); mpfr_init(r23201); mpfr_init(r23202); mpfr_init(r23203); mpfr_init(r23204); mpfr_init_set_str(r23205, "5.833877271865195e+293", 10, MPFR_RNDN); mpfr_init(r23206); mpfr_init(r23207); mpfr_init(r23208); mpfr_init(r23209); mpfr_init(r23210); mpfr_init(r23211); mpfr_init(r23212); } double f_dm(double x, double n) { ; mpfr_set_d(r23155, x, MPFR_RNDN); mpfr_set_d(r23156, n, MPFR_RNDN); mpfr_mul(r23157, r23155, r23156, MPFR_RNDN); mpfr_div(r23158, r23154, r23157, MPFR_RNDN); ; mpfr_div(r23160, r23159, r23155, MPFR_RNDN); mpfr_div(r23161, r23160, r23157, MPFR_RNDN); mpfr_sub(r23162, r23158, r23161, MPFR_RNDN); mpfr_log(r23163, r23155, MPFR_RNDN); mpfr_mul(r23164, r23156, r23156, MPFR_RNDN); mpfr_mul(r23165, r23164, r23155, MPFR_RNDN); mpfr_div(r23166, r23163, r23165, MPFR_RNDN); mpfr_add(r23167, r23162, r23166, MPFR_RNDN); ; mpfr_set_si(r23169, mpfr_cmp(r23167, r23168) <= 0, MPFR_RNDN); mpfr_add(r23170, r23154, r23155, MPFR_RNDN); mpfr_div(r23171, r23154, r23156, MPFR_RNDN); mpfr_pow(r23172, r23170, r23171, MPFR_RNDN); mpfr_sub(r23173, r23172, r23154, MPFR_RNDN); mpfr_div(r23174, r23159, r23156, MPFR_RNDN); mpfr_mul(r23175, r23163, r23174, MPFR_RNDN); mpfr_div(r23176, r23156, r23163, MPFR_RNDN); mpfr_div(r23177, r23175, r23176, MPFR_RNDN); mpfr_sub(r23178, r23173, r23177, MPFR_RNDN); mpfr_div(r23179, r23163, r23156, MPFR_RNDN); mpfr_sub(r23180, r23178, r23179, MPFR_RNDN); ; mpfr_set_si(r23182, mpfr_cmp(r23167, r23181) <= 0, MPFR_RNDN); mpfr_div(r23183, r23171, r23155, MPFR_RNDN); mpfr_mul(r23184, r23155, r23155, MPFR_RNDN); mpfr_div(r23185, r23174, r23184, MPFR_RNDN); mpfr_sub(r23186, r23183, r23185, MPFR_RNDN); mpfr_mul(r23187, r23156, r23155, MPFR_RNDN); mpfr_mul(r23188, r23187, r23156, MPFR_RNDN); mpfr_div(r23189, r23163, r23188, MPFR_RNDN); mpfr_add(r23190, r23186, r23189, MPFR_RNDN); ; mpfr_set_si(r23192, mpfr_cmp(r23167, r23191) <= 0, MPFR_RNDN); ; mpfr_set_si(r23194, mpfr_cmp(r23167, r23193) <= 0, MPFR_RNDN); ; mpfr_set_si(r23196, mpfr_cmp(r23167, r23195) <= 0, MPFR_RNDN); mpfr_add(r23197, r23155, r23154, MPFR_RNDN); mpfr_cbrt(r23198, r23197, MPFR_RNDN); mpfr_mul(r23199, r23198, r23198, MPFR_RNDN); mpfr_pow(r23200, r23199, r23171, MPFR_RNDN); mpfr_pow(r23201, r23198, r23171, MPFR_RNDN); mpfr_mul(r23202, r23200, r23201, MPFR_RNDN); mpfr_pow(r23203, r23155, r23171, MPFR_RNDN); mpfr_sub(r23204, r23202, r23203, MPFR_RNDN); ; mpfr_set_si(r23206, mpfr_cmp(r23167, r23205) <= 0, MPFR_RNDN); if (mpfr_get_si(r23206, MPFR_RNDN)) { mpfr_set(r23207, r23180, MPFR_RNDN); } else { mpfr_set(r23207, r23204, MPFR_RNDN); }; if (mpfr_get_si(r23196, MPFR_RNDN)) { mpfr_set(r23208, r23204, MPFR_RNDN); } else { mpfr_set(r23208, r23207, MPFR_RNDN); }; if (mpfr_get_si(r23194, MPFR_RNDN)) { mpfr_set(r23209, r23167, MPFR_RNDN); } else { mpfr_set(r23209, r23208, MPFR_RNDN); }; if (mpfr_get_si(r23192, MPFR_RNDN)) { mpfr_set(r23210, r23180, MPFR_RNDN); } else { mpfr_set(r23210, r23209, MPFR_RNDN); }; if (mpfr_get_si(r23182, MPFR_RNDN)) { mpfr_set(r23211, r23190, MPFR_RNDN); } else { mpfr_set(r23211, r23210, MPFR_RNDN); }; if (mpfr_get_si(r23169, MPFR_RNDN)) { mpfr_set(r23212, r23180, MPFR_RNDN); } else { mpfr_set(r23212, r23211, MPFR_RNDN); }; return mpfr_get_d(r23212, MPFR_RNDN); }