#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22977 = x; float r22978 = 1; float r22979 = r22977 + r22978; float r22980 = n; float r22981 = r22978 / r22980; float r22982 = pow(r22979, r22981); float r22983 = pow(r22977, r22981); float r22984 = r22982 - r22983; return r22984; } double f_id(double x, double n) { double r22985 = x; double r22986 = 1; double r22987 = r22985 + r22986; double r22988 = n; double r22989 = r22986 / r22988; double r22990 = pow(r22987, r22989); double r22991 = pow(r22985, r22989); double r22992 = r22990 - r22991; return r22992; } double f_of(float x, float n) { float r22993 = 1; float r22994 = n; float r22995 = r22993 / r22994; float r22996 = x; float r22997 = r22995 / r22996; float r22998 = log(r22996); float r22999 = r22998 / r22994; float r23000 = pow(r22996, r22995); float r23001 = r22993 - r23000; float r23002 = r22999 + r23001; float r23003 = r22997 + r23002; float r23004 = -0.0011321014337581812; bool r23005 = r23003 <= r23004; float r23006 = r22993 + r22996; float r23007 = pow(r23006, r22995); float r23008 = r23007 - r23000; float r23009 = exp(r23008); float r23010 = log(r23009); float r23011 = 2.445822097022024e-16; bool r23012 = r23003 <= r23011; float r23013 = r22998 / r22996; float r23014 = r22994 * r22994; float r23015 = r23013 / r23014; float r23016 = r22993 / r22996; float r23017 = r23016 / r22994; float r23018 = 1/2; float r23019 = r23018 / r22996; float r23020 = r22996 * r22994; float r23021 = r23019 / r23020; float r23022 = r23017 - r23021; float r23023 = r23015 + r23022; float r23024 = cbrt(r23019); float r23025 = -r23024; float r23026 = r23025 / r22996; float r23027 = r23024 * r23024; float r23028 = r23027 / r22994; float r23029 = r23024 / r22996; float r23030 = r23029 * r23028; float r23031 = fma(r23026, r23028, r23030); float r23032 = r23023 + r23031; float r23033 = log1p(r22996); float r23034 = r23033 / r22994; float r23035 = exp(r23034); float r23036 = r23035 - r23000; float r23037 = r23012 ? r23032 : r23036; float r23038 = r23005 ? r23010 : r23037; return r23038; } double f_od(double x, double n) { double r23039 = 1; double r23040 = n; double r23041 = r23039 / r23040; double r23042 = x; double r23043 = r23041 / r23042; double r23044 = log(r23042); double r23045 = r23044 / r23040; double r23046 = pow(r23042, r23041); double r23047 = r23039 - r23046; double r23048 = r23045 + r23047; double r23049 = r23043 + r23048; double r23050 = -0.0011321014337581812; bool r23051 = r23049 <= r23050; double r23052 = r23039 + r23042; double r23053 = pow(r23052, r23041); double r23054 = r23053 - r23046; double r23055 = exp(r23054); double r23056 = log(r23055); double r23057 = 2.445822097022024e-16; bool r23058 = r23049 <= r23057; double r23059 = r23044 / r23042; double r23060 = r23040 * r23040; double r23061 = r23059 / r23060; double r23062 = r23039 / r23042; double r23063 = r23062 / r23040; double r23064 = 1/2; double r23065 = r23064 / r23042; double r23066 = r23042 * r23040; double r23067 = r23065 / r23066; double r23068 = r23063 - r23067; double r23069 = r23061 + r23068; double r23070 = cbrt(r23065); double r23071 = -r23070; double r23072 = r23071 / r23042; double r23073 = r23070 * r23070; double r23074 = r23073 / r23040; double r23075 = r23070 / r23042; double r23076 = r23075 * r23074; double r23077 = fma(r23072, r23074, r23076); double r23078 = r23069 + r23077; double r23079 = log1p(r23042); double r23080 = r23079 / r23040; double r23081 = exp(r23080); double r23082 = r23081 - r23046; double r23083 = r23058 ? r23078 : r23082; double r23084 = r23051 ? r23056 : r23083; return r23084; } 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 r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r23085); mpfr_init_set_str(r23086, "1", 10, MPFR_RNDN); mpfr_init(r23087); mpfr_init(r23088); mpfr_init(r23089); mpfr_init(r23090); mpfr_init(r23091); mpfr_init(r23092); } double f_im(double x, double n) { mpfr_set_d(r23085, x, MPFR_RNDN); ; mpfr_add(r23087, r23085, r23086, MPFR_RNDN); mpfr_set_d(r23088, n, MPFR_RNDN); mpfr_div(r23089, r23086, r23088, MPFR_RNDN); mpfr_pow(r23090, r23087, r23089, MPFR_RNDN); mpfr_pow(r23091, r23085, r23089, MPFR_RNDN); mpfr_sub(r23092, r23090, r23091, MPFR_RNDN); return mpfr_get_d(r23092, MPFR_RNDN); } static mpfr_t r23093, r23094, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23093, "1", 10, MPFR_RNDN); mpfr_init(r23094); mpfr_init(r23095); mpfr_init(r23096); mpfr_init(r23097); mpfr_init(r23098); mpfr_init(r23099); mpfr_init(r23100); mpfr_init(r23101); mpfr_init(r23102); mpfr_init(r23103); mpfr_init_set_str(r23104, "-0.0011321014337581812", 10, MPFR_RNDN); mpfr_init(r23105); mpfr_init(r23106); mpfr_init(r23107); mpfr_init(r23108); mpfr_init(r23109); mpfr_init(r23110); mpfr_init_set_str(r23111, "2.445822097022024e-16", 10, MPFR_RNDN); mpfr_init(r23112); mpfr_init(r23113); mpfr_init(r23114); mpfr_init(r23115); mpfr_init(r23116); mpfr_init(r23117); mpfr_init_set_str(r23118, "1/2", 10, MPFR_RNDN); mpfr_init(r23119); mpfr_init(r23120); mpfr_init(r23121); mpfr_init(r23122); 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(r23132); mpfr_init(r23133); mpfr_init(r23134); mpfr_init(r23135); mpfr_init(r23136); mpfr_init(r23137); mpfr_init(r23138); } double f_fm(double x, double n) { ; mpfr_set_d(r23094, n, MPFR_RNDN); mpfr_div(r23095, r23093, r23094, MPFR_RNDN); mpfr_set_d(r23096, x, MPFR_RNDN); mpfr_div(r23097, r23095, r23096, MPFR_RNDN); mpfr_log(r23098, r23096, MPFR_RNDN); mpfr_div(r23099, r23098, r23094, MPFR_RNDN); mpfr_pow(r23100, r23096, r23095, MPFR_RNDN); mpfr_sub(r23101, r23093, r23100, MPFR_RNDN); mpfr_add(r23102, r23099, r23101, MPFR_RNDN); mpfr_add(r23103, r23097, r23102, MPFR_RNDN); ; mpfr_set_si(r23105, mpfr_cmp(r23103, r23104) <= 0, MPFR_RNDN); mpfr_add(r23106, r23093, r23096, MPFR_RNDN); mpfr_pow(r23107, r23106, r23095, MPFR_RNDN); mpfr_sub(r23108, r23107, r23100, MPFR_RNDN); mpfr_exp(r23109, r23108, MPFR_RNDN); mpfr_log(r23110, r23109, MPFR_RNDN); ; mpfr_set_si(r23112, mpfr_cmp(r23103, r23111) <= 0, MPFR_RNDN); mpfr_div(r23113, r23098, r23096, MPFR_RNDN); mpfr_mul(r23114, r23094, r23094, MPFR_RNDN); mpfr_div(r23115, r23113, r23114, MPFR_RNDN); mpfr_div(r23116, r23093, r23096, MPFR_RNDN); mpfr_div(r23117, r23116, r23094, MPFR_RNDN); ; mpfr_div(r23119, r23118, r23096, MPFR_RNDN); mpfr_mul(r23120, r23096, r23094, MPFR_RNDN); mpfr_div(r23121, r23119, r23120, MPFR_RNDN); mpfr_sub(r23122, r23117, r23121, MPFR_RNDN); mpfr_add(r23123, r23115, r23122, MPFR_RNDN); mpfr_cbrt(r23124, r23119, MPFR_RNDN); mpfr_neg(r23125, r23124, MPFR_RNDN); mpfr_div(r23126, r23125, r23096, MPFR_RNDN); mpfr_mul(r23127, r23124, r23124, MPFR_RNDN); mpfr_div(r23128, r23127, r23094, MPFR_RNDN); mpfr_div(r23129, r23124, r23096, MPFR_RNDN); mpfr_mul(r23130, r23129, r23128, MPFR_RNDN); mpfr_fma(r23131, r23126, r23128, r23130, MPFR_RNDN); mpfr_add(r23132, r23123, r23131, MPFR_RNDN); mpfr_log1p(r23133, r23096, MPFR_RNDN); mpfr_div(r23134, r23133, r23094, MPFR_RNDN); mpfr_exp(r23135, r23134, MPFR_RNDN); mpfr_sub(r23136, r23135, r23100, MPFR_RNDN); if (mpfr_get_si(r23112, MPFR_RNDN)) { mpfr_set(r23137, r23132, MPFR_RNDN); } else { mpfr_set(r23137, r23136, MPFR_RNDN); }; if (mpfr_get_si(r23105, MPFR_RNDN)) { mpfr_set(r23138, r23110, MPFR_RNDN); } else { mpfr_set(r23138, r23137, MPFR_RNDN); }; return mpfr_get_d(r23138, MPFR_RNDN); } static mpfr_t r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r23139, "1", 10, MPFR_RNDN); mpfr_init(r23140); mpfr_init(r23141); mpfr_init(r23142); mpfr_init(r23143); mpfr_init(r23144); mpfr_init(r23145); mpfr_init(r23146); mpfr_init(r23147); mpfr_init(r23148); mpfr_init(r23149); mpfr_init_set_str(r23150, "-0.0011321014337581812", 10, MPFR_RNDN); mpfr_init(r23151); mpfr_init(r23152); mpfr_init(r23153); mpfr_init(r23154); mpfr_init(r23155); mpfr_init(r23156); mpfr_init_set_str(r23157, "2.445822097022024e-16", 10, MPFR_RNDN); mpfr_init(r23158); mpfr_init(r23159); mpfr_init(r23160); mpfr_init(r23161); mpfr_init(r23162); mpfr_init(r23163); mpfr_init_set_str(r23164, "1/2", 10, MPFR_RNDN); mpfr_init(r23165); mpfr_init(r23166); mpfr_init(r23167); mpfr_init(r23168); 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(r23181); mpfr_init(r23182); mpfr_init(r23183); mpfr_init(r23184); } double f_dm(double x, double n) { ; mpfr_set_d(r23140, n, MPFR_RNDN); mpfr_div(r23141, r23139, r23140, MPFR_RNDN); mpfr_set_d(r23142, x, MPFR_RNDN); mpfr_div(r23143, r23141, r23142, MPFR_RNDN); mpfr_log(r23144, r23142, MPFR_RNDN); mpfr_div(r23145, r23144, r23140, MPFR_RNDN); mpfr_pow(r23146, r23142, r23141, MPFR_RNDN); mpfr_sub(r23147, r23139, r23146, MPFR_RNDN); mpfr_add(r23148, r23145, r23147, MPFR_RNDN); mpfr_add(r23149, r23143, r23148, MPFR_RNDN); ; mpfr_set_si(r23151, mpfr_cmp(r23149, r23150) <= 0, MPFR_RNDN); mpfr_add(r23152, r23139, r23142, MPFR_RNDN); mpfr_pow(r23153, r23152, r23141, MPFR_RNDN); mpfr_sub(r23154, r23153, r23146, MPFR_RNDN); mpfr_exp(r23155, r23154, MPFR_RNDN); mpfr_log(r23156, r23155, MPFR_RNDN); ; mpfr_set_si(r23158, mpfr_cmp(r23149, r23157) <= 0, MPFR_RNDN); mpfr_div(r23159, r23144, r23142, MPFR_RNDN); mpfr_mul(r23160, r23140, r23140, MPFR_RNDN); mpfr_div(r23161, r23159, r23160, MPFR_RNDN); mpfr_div(r23162, r23139, r23142, MPFR_RNDN); mpfr_div(r23163, r23162, r23140, MPFR_RNDN); ; mpfr_div(r23165, r23164, r23142, MPFR_RNDN); mpfr_mul(r23166, r23142, r23140, MPFR_RNDN); mpfr_div(r23167, r23165, r23166, MPFR_RNDN); mpfr_sub(r23168, r23163, r23167, MPFR_RNDN); mpfr_add(r23169, r23161, r23168, MPFR_RNDN); mpfr_cbrt(r23170, r23165, MPFR_RNDN); mpfr_neg(r23171, r23170, MPFR_RNDN); mpfr_div(r23172, r23171, r23142, MPFR_RNDN); mpfr_mul(r23173, r23170, r23170, MPFR_RNDN); mpfr_div(r23174, r23173, r23140, MPFR_RNDN); mpfr_div(r23175, r23170, r23142, MPFR_RNDN); mpfr_mul(r23176, r23175, r23174, MPFR_RNDN); mpfr_fma(r23177, r23172, r23174, r23176, MPFR_RNDN); mpfr_add(r23178, r23169, r23177, MPFR_RNDN); mpfr_log1p(r23179, r23142, MPFR_RNDN); mpfr_div(r23180, r23179, r23140, MPFR_RNDN); mpfr_exp(r23181, r23180, MPFR_RNDN); mpfr_sub(r23182, r23181, r23146, MPFR_RNDN); if (mpfr_get_si(r23158, MPFR_RNDN)) { mpfr_set(r23183, r23178, MPFR_RNDN); } else { mpfr_set(r23183, r23182, MPFR_RNDN); }; if (mpfr_get_si(r23151, MPFR_RNDN)) { mpfr_set(r23184, r23156, MPFR_RNDN); } else { mpfr_set(r23184, r23183, MPFR_RNDN); }; return mpfr_get_d(r23184, MPFR_RNDN); }