#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r25014 = 2; float r25015 = n; float r25016 = r25014 * r25015; float r25017 = U; float r25018 = r25016 * r25017; float r25019 = t; float r25020 = l; float r25021 = r25020 * r25020; float r25022 = Om; float r25023 = r25021 / r25022; float r25024 = r25014 * r25023; float r25025 = r25019 - r25024; float r25026 = r25020 / r25022; float r25027 = pow(r25026, r25014); float r25028 = r25015 * r25027; float r25029 = U_; float r25030 = r25017 - r25029; float r25031 = r25028 * r25030; float r25032 = r25025 - r25031; float r25033 = r25018 * r25032; float r25034 = sqrt(r25033); return r25034; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r25035 = 2; double r25036 = n; double r25037 = r25035 * r25036; double r25038 = U; double r25039 = r25037 * r25038; double r25040 = t; double r25041 = l; double r25042 = r25041 * r25041; double r25043 = Om; double r25044 = r25042 / r25043; double r25045 = r25035 * r25044; double r25046 = r25040 - r25045; double r25047 = r25041 / r25043; double r25048 = pow(r25047, r25035); double r25049 = r25036 * r25048; double r25050 = U_; double r25051 = r25038 - r25050; double r25052 = r25049 * r25051; double r25053 = r25046 - r25052; double r25054 = r25039 * r25053; double r25055 = sqrt(r25054); return r25055; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r25056 = n; float r25057 = 2; float r25058 = r25056 * r25057; float r25059 = U; float r25060 = r25058 * r25059; float r25061 = -6.724693414362672e-208; bool r25062 = r25060 <= r25061; float r25063 = r25057 * r25056; float r25064 = r25063 * r25059; float r25065 = t; float r25066 = l; float r25067 = Om; float r25068 = r25067 / r25066; float r25069 = r25066 / r25068; float r25070 = r25057 * r25069; float r25071 = r25065 - r25070; float r25072 = r25066 / r25067; float r25073 = r25056 * r25072; float r25074 = r25073 * r25072; float r25075 = U_; float r25076 = r25059 - r25075; float r25077 = r25074 * r25076; float r25078 = r25071 - r25077; float r25079 = r25064 * r25078; float r25080 = sqrt(r25079); float r25081 = 9.2324745968256e-315; bool r25082 = r25060 <= r25081; float r25083 = pow(r25072, r25057); float r25084 = r25056 * r25083; float r25085 = r25084 * r25076; float r25086 = r25071 - r25085; float r25087 = cbrt(r25086); float r25088 = r25087 * r25087; float r25089 = r25059 * r25088; float r25090 = r25089 * r25087; float r25091 = r25063 * r25090; float r25092 = sqrt(r25091); float r25093 = sqrt(r25064); float r25094 = sqrt(r25086); float r25095 = r25093 * r25094; float r25096 = r25082 ? r25092 : r25095; float r25097 = r25062 ? r25080 : r25096; return r25097; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r25098 = n; double r25099 = 2; double r25100 = r25098 * r25099; double r25101 = U; double r25102 = r25100 * r25101; double r25103 = -6.724693414362672e-208; bool r25104 = r25102 <= r25103; double r25105 = r25099 * r25098; double r25106 = r25105 * r25101; double r25107 = t; double r25108 = l; double r25109 = Om; double r25110 = r25109 / r25108; double r25111 = r25108 / r25110; double r25112 = r25099 * r25111; double r25113 = r25107 - r25112; double r25114 = r25108 / r25109; double r25115 = r25098 * r25114; double r25116 = r25115 * r25114; double r25117 = U_; double r25118 = r25101 - r25117; double r25119 = r25116 * r25118; double r25120 = r25113 - r25119; double r25121 = r25106 * r25120; double r25122 = sqrt(r25121); double r25123 = 9.2324745968256e-315; bool r25124 = r25102 <= r25123; double r25125 = pow(r25114, r25099); double r25126 = r25098 * r25125; double r25127 = r25126 * r25118; double r25128 = r25113 - r25127; double r25129 = cbrt(r25128); double r25130 = r25129 * r25129; double r25131 = r25101 * r25130; double r25132 = r25131 * r25129; double r25133 = r25105 * r25132; double r25134 = sqrt(r25133); double r25135 = sqrt(r25106); double r25136 = sqrt(r25128); double r25137 = r25135 * r25136; double r25138 = r25124 ? r25134 : r25137; double r25139 = r25104 ? r25122 : r25138; return r25139; } 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 r25140, r25141, r25142, r25143, r25144, r25145, r25146, r25147, r25148, r25149, r25150, r25151, r25152, r25153, r25154, r25155, r25156, r25157, r25158, r25159, r25160; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r25140, "2", 10, MPFR_RNDN); mpfr_init(r25141); mpfr_init(r25142); mpfr_init(r25143); mpfr_init(r25144); mpfr_init(r25145); mpfr_init(r25146); mpfr_init(r25147); mpfr_init(r25148); mpfr_init(r25149); mpfr_init(r25150); mpfr_init(r25151); mpfr_init(r25152); mpfr_init(r25153); mpfr_init(r25154); mpfr_init(r25155); mpfr_init(r25156); mpfr_init(r25157); mpfr_init(r25158); mpfr_init(r25159); mpfr_init(r25160); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r25141, n, MPFR_RNDN); mpfr_mul(r25142, r25140, r25141, MPFR_RNDN); mpfr_set_d(r25143, U, MPFR_RNDN); mpfr_mul(r25144, r25142, r25143, MPFR_RNDN); mpfr_set_d(r25145, t, MPFR_RNDN); mpfr_set_d(r25146, l, MPFR_RNDN); mpfr_mul(r25147, r25146, r25146, MPFR_RNDN); mpfr_set_d(r25148, Om, MPFR_RNDN); mpfr_div(r25149, r25147, r25148, MPFR_RNDN); mpfr_mul(r25150, r25140, r25149, MPFR_RNDN); mpfr_sub(r25151, r25145, r25150, MPFR_RNDN); mpfr_div(r25152, r25146, r25148, MPFR_RNDN); mpfr_pow(r25153, r25152, r25140, MPFR_RNDN); mpfr_mul(r25154, r25141, r25153, MPFR_RNDN); mpfr_set_d(r25155, U_, MPFR_RNDN); mpfr_sub(r25156, r25143, r25155, MPFR_RNDN); mpfr_mul(r25157, r25154, r25156, MPFR_RNDN); mpfr_sub(r25158, r25151, r25157, MPFR_RNDN); mpfr_mul(r25159, r25144, r25158, MPFR_RNDN); mpfr_sqrt(r25160, r25159, MPFR_RNDN); return mpfr_get_d(r25160, MPFR_RNDN); } static mpfr_t r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175, r25176, r25177, r25178, r25179, r25180, r25181, r25182, r25183, r25184, r25185, r25186, r25187, r25188, r25189, r25190, r25191, r25192, r25193, r25194, r25195, r25196, r25197, r25198, r25199, r25200, r25201, r25202; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r25161); mpfr_init_set_str(r25162, "2", 10, MPFR_RNDN); mpfr_init(r25163); mpfr_init(r25164); mpfr_init(r25165); mpfr_init_set_str(r25166, "-6.724693414362672e-208", 10, MPFR_RNDN); mpfr_init(r25167); mpfr_init(r25168); mpfr_init(r25169); mpfr_init(r25170); mpfr_init(r25171); mpfr_init(r25172); mpfr_init(r25173); mpfr_init(r25174); mpfr_init(r25175); mpfr_init(r25176); mpfr_init(r25177); mpfr_init(r25178); mpfr_init(r25179); mpfr_init(r25180); mpfr_init(r25181); mpfr_init(r25182); mpfr_init(r25183); mpfr_init(r25184); mpfr_init(r25185); mpfr_init_set_str(r25186, "9.2324745968256e-315", 10, MPFR_RNDN); mpfr_init(r25187); mpfr_init(r25188); mpfr_init(r25189); mpfr_init(r25190); mpfr_init(r25191); mpfr_init(r25192); mpfr_init(r25193); mpfr_init(r25194); mpfr_init(r25195); mpfr_init(r25196); mpfr_init(r25197); mpfr_init(r25198); mpfr_init(r25199); mpfr_init(r25200); mpfr_init(r25201); mpfr_init(r25202); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25161, n, MPFR_RNDN); ; mpfr_mul(r25163, r25161, r25162, MPFR_RNDN); mpfr_set_d(r25164, U, MPFR_RNDN); mpfr_mul(r25165, r25163, r25164, MPFR_RNDN); ; mpfr_set_si(r25167, mpfr_cmp(r25165, r25166) <= 0, MPFR_RNDN); mpfr_mul(r25168, r25162, r25161, MPFR_RNDN); mpfr_mul(r25169, r25168, r25164, MPFR_RNDN); mpfr_set_d(r25170, t, MPFR_RNDN); mpfr_set_d(r25171, l, MPFR_RNDN); mpfr_set_d(r25172, Om, MPFR_RNDN); mpfr_div(r25173, r25172, r25171, MPFR_RNDN); mpfr_div(r25174, r25171, r25173, MPFR_RNDN); mpfr_mul(r25175, r25162, r25174, MPFR_RNDN); mpfr_sub(r25176, r25170, r25175, MPFR_RNDN); mpfr_div(r25177, r25171, r25172, MPFR_RNDN); mpfr_mul(r25178, r25161, r25177, MPFR_RNDN); mpfr_mul(r25179, r25178, r25177, MPFR_RNDN); mpfr_set_d(r25180, U_, MPFR_RNDN); mpfr_sub(r25181, r25164, r25180, MPFR_RNDN); mpfr_mul(r25182, r25179, r25181, MPFR_RNDN); mpfr_sub(r25183, r25176, r25182, MPFR_RNDN); mpfr_mul(r25184, r25169, r25183, MPFR_RNDN); mpfr_sqrt(r25185, r25184, MPFR_RNDN); ; mpfr_set_si(r25187, mpfr_cmp(r25165, r25186) <= 0, MPFR_RNDN); mpfr_pow(r25188, r25177, r25162, MPFR_RNDN); mpfr_mul(r25189, r25161, r25188, MPFR_RNDN); mpfr_mul(r25190, r25189, r25181, MPFR_RNDN); mpfr_sub(r25191, r25176, r25190, MPFR_RNDN); mpfr_cbrt(r25192, r25191, MPFR_RNDN); mpfr_mul(r25193, r25192, r25192, MPFR_RNDN); mpfr_mul(r25194, r25164, r25193, MPFR_RNDN); mpfr_mul(r25195, r25194, r25192, MPFR_RNDN); mpfr_mul(r25196, r25168, r25195, MPFR_RNDN); mpfr_sqrt(r25197, r25196, MPFR_RNDN); mpfr_sqrt(r25198, r25169, MPFR_RNDN); mpfr_sqrt(r25199, r25191, MPFR_RNDN); mpfr_mul(r25200, r25198, r25199, MPFR_RNDN); if (mpfr_get_si(r25187, MPFR_RNDN)) { mpfr_set(r25201, r25197, MPFR_RNDN); } else { mpfr_set(r25201, r25200, MPFR_RNDN); }; if (mpfr_get_si(r25167, MPFR_RNDN)) { mpfr_set(r25202, r25185, MPFR_RNDN); } else { mpfr_set(r25202, r25201, MPFR_RNDN); }; return mpfr_get_d(r25202, MPFR_RNDN); } static mpfr_t r25203, r25204, r25205, r25206, r25207, r25208, r25209, r25210, r25211, r25212, r25213, r25214, r25215, r25216, r25217, r25218, r25219, r25220, r25221, r25222, r25223, r25224, r25225, r25226, r25227, r25228, r25229, r25230, r25231, r25232, r25233, r25234, r25235, r25236, r25237, r25238, r25239, r25240, r25241, r25242, r25243, r25244; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r25203); mpfr_init_set_str(r25204, "2", 10, MPFR_RNDN); mpfr_init(r25205); mpfr_init(r25206); mpfr_init(r25207); mpfr_init_set_str(r25208, "-6.724693414362672e-208", 10, MPFR_RNDN); mpfr_init(r25209); mpfr_init(r25210); mpfr_init(r25211); mpfr_init(r25212); mpfr_init(r25213); mpfr_init(r25214); mpfr_init(r25215); mpfr_init(r25216); mpfr_init(r25217); mpfr_init(r25218); mpfr_init(r25219); mpfr_init(r25220); mpfr_init(r25221); mpfr_init(r25222); mpfr_init(r25223); mpfr_init(r25224); mpfr_init(r25225); mpfr_init(r25226); mpfr_init(r25227); mpfr_init_set_str(r25228, "9.2324745968256e-315", 10, MPFR_RNDN); mpfr_init(r25229); mpfr_init(r25230); mpfr_init(r25231); mpfr_init(r25232); mpfr_init(r25233); mpfr_init(r25234); mpfr_init(r25235); mpfr_init(r25236); mpfr_init(r25237); mpfr_init(r25238); mpfr_init(r25239); mpfr_init(r25240); mpfr_init(r25241); mpfr_init(r25242); mpfr_init(r25243); mpfr_init(r25244); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25203, n, MPFR_RNDN); ; mpfr_mul(r25205, r25203, r25204, MPFR_RNDN); mpfr_set_d(r25206, U, MPFR_RNDN); mpfr_mul(r25207, r25205, r25206, MPFR_RNDN); ; mpfr_set_si(r25209, mpfr_cmp(r25207, r25208) <= 0, MPFR_RNDN); mpfr_mul(r25210, r25204, r25203, MPFR_RNDN); mpfr_mul(r25211, r25210, r25206, MPFR_RNDN); mpfr_set_d(r25212, t, MPFR_RNDN); mpfr_set_d(r25213, l, MPFR_RNDN); mpfr_set_d(r25214, Om, MPFR_RNDN); mpfr_div(r25215, r25214, r25213, MPFR_RNDN); mpfr_div(r25216, r25213, r25215, MPFR_RNDN); mpfr_mul(r25217, r25204, r25216, MPFR_RNDN); mpfr_sub(r25218, r25212, r25217, MPFR_RNDN); mpfr_div(r25219, r25213, r25214, MPFR_RNDN); mpfr_mul(r25220, r25203, r25219, MPFR_RNDN); mpfr_mul(r25221, r25220, r25219, MPFR_RNDN); mpfr_set_d(r25222, U_, MPFR_RNDN); mpfr_sub(r25223, r25206, r25222, MPFR_RNDN); mpfr_mul(r25224, r25221, r25223, MPFR_RNDN); mpfr_sub(r25225, r25218, r25224, MPFR_RNDN); mpfr_mul(r25226, r25211, r25225, MPFR_RNDN); mpfr_sqrt(r25227, r25226, MPFR_RNDN); ; mpfr_set_si(r25229, mpfr_cmp(r25207, r25228) <= 0, MPFR_RNDN); mpfr_pow(r25230, r25219, r25204, MPFR_RNDN); mpfr_mul(r25231, r25203, r25230, MPFR_RNDN); mpfr_mul(r25232, r25231, r25223, MPFR_RNDN); mpfr_sub(r25233, r25218, r25232, MPFR_RNDN); mpfr_cbrt(r25234, r25233, MPFR_RNDN); mpfr_mul(r25235, r25234, r25234, MPFR_RNDN); mpfr_mul(r25236, r25206, r25235, MPFR_RNDN); mpfr_mul(r25237, r25236, r25234, MPFR_RNDN); mpfr_mul(r25238, r25210, r25237, MPFR_RNDN); mpfr_sqrt(r25239, r25238, MPFR_RNDN); mpfr_sqrt(r25240, r25211, MPFR_RNDN); mpfr_sqrt(r25241, r25233, MPFR_RNDN); mpfr_mul(r25242, r25240, r25241, MPFR_RNDN); if (mpfr_get_si(r25229, MPFR_RNDN)) { mpfr_set(r25243, r25239, MPFR_RNDN); } else { mpfr_set(r25243, r25242, MPFR_RNDN); }; if (mpfr_get_si(r25209, MPFR_RNDN)) { mpfr_set(r25244, r25227, MPFR_RNDN); } else { mpfr_set(r25244, r25243, MPFR_RNDN); }; return mpfr_get_d(r25244, MPFR_RNDN); }