#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 r25003 = 2; float r25004 = n; float r25005 = r25003 * r25004; float r25006 = U; float r25007 = r25005 * r25006; float r25008 = t; float r25009 = l; float r25010 = r25009 * r25009; float r25011 = Om; float r25012 = r25010 / r25011; float r25013 = r25003 * r25012; float r25014 = r25008 - r25013; float r25015 = r25009 / r25011; float r25016 = pow(r25015, r25003); float r25017 = r25004 * r25016; float r25018 = U_; float r25019 = r25006 - r25018; float r25020 = r25017 * r25019; float r25021 = r25014 - r25020; float r25022 = r25007 * r25021; float r25023 = sqrt(r25022); return r25023; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r25024 = 2; double r25025 = n; double r25026 = r25024 * r25025; double r25027 = U; double r25028 = r25026 * r25027; double r25029 = t; double r25030 = l; double r25031 = r25030 * r25030; double r25032 = Om; double r25033 = r25031 / r25032; double r25034 = r25024 * r25033; double r25035 = r25029 - r25034; double r25036 = r25030 / r25032; double r25037 = pow(r25036, r25024); double r25038 = r25025 * r25037; double r25039 = U_; double r25040 = r25027 - r25039; double r25041 = r25038 * r25040; double r25042 = r25035 - r25041; double r25043 = r25028 * r25042; double r25044 = sqrt(r25043); return r25044; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r25045 = n; float r25046 = 2; float r25047 = r25045 * r25046; float r25048 = U; float r25049 = r25047 * r25048; float r25050 = -2.1100752249171116e+124; bool r25051 = r25049 <= r25050; float r25052 = r25046 * r25045; float r25053 = sqrt(r25052); float r25054 = t; float r25055 = l; float r25056 = Om; float r25057 = r25056 / r25055; float r25058 = r25055 / r25057; float r25059 = r25046 * r25058; float r25060 = r25054 - r25059; float r25061 = r25055 / r25056; float r25062 = pow(r25061, r25046); float r25063 = r25045 * r25062; float r25064 = U_; float r25065 = r25048 - r25064; float r25066 = r25063 * r25065; float r25067 = r25060 - r25066; float r25068 = r25048 * r25067; float r25069 = sqrt(r25068); float r25070 = r25053 * r25069; float r25071 = -3.4336865090882874e-215; bool r25072 = r25049 <= r25071; float r25073 = r25052 * r25048; float r25074 = r25062 * r25065; float r25075 = r25045 * r25074; float r25076 = r25060 - r25075; float r25077 = r25073 * r25076; float r25078 = sqrt(r25077); float r25079 = 3.75079317347e-316; bool r25080 = r25049 <= r25079; float r25081 = r25061 * r25045; float r25082 = r25065 * r25061; float r25083 = r25081 * r25082; float r25084 = 3; float r25085 = pow(r25083, r25084); float r25086 = cbrt(r25085); float r25087 = r25060 - r25086; float r25088 = r25048 * r25087; float r25089 = r25052 * r25088; float r25090 = sqrt(r25089); float r25091 = sqrt(r25073); float r25092 = sqrt(r25067); float r25093 = r25091 * r25092; float r25094 = r25080 ? r25090 : r25093; float r25095 = r25072 ? r25078 : r25094; float r25096 = r25051 ? r25070 : r25095; return r25096; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r25097 = n; double r25098 = 2; double r25099 = r25097 * r25098; double r25100 = U; double r25101 = r25099 * r25100; double r25102 = -2.1100752249171116e+124; bool r25103 = r25101 <= r25102; double r25104 = r25098 * r25097; double r25105 = sqrt(r25104); double r25106 = t; double r25107 = l; double r25108 = Om; double r25109 = r25108 / r25107; double r25110 = r25107 / r25109; double r25111 = r25098 * r25110; double r25112 = r25106 - r25111; double r25113 = r25107 / r25108; double r25114 = pow(r25113, r25098); double r25115 = r25097 * r25114; double r25116 = U_; double r25117 = r25100 - r25116; double r25118 = r25115 * r25117; double r25119 = r25112 - r25118; double r25120 = r25100 * r25119; double r25121 = sqrt(r25120); double r25122 = r25105 * r25121; double r25123 = -3.4336865090882874e-215; bool r25124 = r25101 <= r25123; double r25125 = r25104 * r25100; double r25126 = r25114 * r25117; double r25127 = r25097 * r25126; double r25128 = r25112 - r25127; double r25129 = r25125 * r25128; double r25130 = sqrt(r25129); double r25131 = 3.75079317347e-316; bool r25132 = r25101 <= r25131; double r25133 = r25113 * r25097; double r25134 = r25117 * r25113; double r25135 = r25133 * r25134; double r25136 = 3; double r25137 = pow(r25135, r25136); double r25138 = cbrt(r25137); double r25139 = r25112 - r25138; double r25140 = r25100 * r25139; double r25141 = r25104 * r25140; double r25142 = sqrt(r25141); double r25143 = sqrt(r25125); double r25144 = sqrt(r25119); double r25145 = r25143 * r25144; double r25146 = r25132 ? r25142 : r25145; double r25147 = r25124 ? r25130 : r25146; double r25148 = r25103 ? r25122 : r25147; return r25148; } 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 r25149, r25150, r25151, r25152, r25153, r25154, r25155, r25156, r25157, r25158, r25159, r25160, r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r25149, "2", 10, MPFR_RNDN); 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); mpfr_init(r25161); mpfr_init(r25162); mpfr_init(r25163); mpfr_init(r25164); mpfr_init(r25165); mpfr_init(r25166); mpfr_init(r25167); mpfr_init(r25168); mpfr_init(r25169); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r25150, n, MPFR_RNDN); mpfr_mul(r25151, r25149, r25150, MPFR_RNDN); mpfr_set_d(r25152, U, MPFR_RNDN); mpfr_mul(r25153, r25151, r25152, MPFR_RNDN); mpfr_set_d(r25154, t, MPFR_RNDN); mpfr_set_d(r25155, l, MPFR_RNDN); mpfr_mul(r25156, r25155, r25155, MPFR_RNDN); mpfr_set_d(r25157, Om, MPFR_RNDN); mpfr_div(r25158, r25156, r25157, MPFR_RNDN); mpfr_mul(r25159, r25149, r25158, MPFR_RNDN); mpfr_sub(r25160, r25154, r25159, MPFR_RNDN); mpfr_div(r25161, r25155, r25157, MPFR_RNDN); mpfr_pow(r25162, r25161, r25149, MPFR_RNDN); mpfr_mul(r25163, r25150, r25162, MPFR_RNDN); mpfr_set_d(r25164, U_, MPFR_RNDN); mpfr_sub(r25165, r25152, r25164, MPFR_RNDN); mpfr_mul(r25166, r25163, r25165, MPFR_RNDN); mpfr_sub(r25167, r25160, r25166, MPFR_RNDN); mpfr_mul(r25168, r25153, r25167, MPFR_RNDN); mpfr_sqrt(r25169, r25168, MPFR_RNDN); return mpfr_get_d(r25169, MPFR_RNDN); } static mpfr_t 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, r25203, r25204, r25205, r25206, r25207, r25208, r25209, r25210, r25211, r25212, r25213, r25214, r25215, r25216, r25217, r25218, r25219, r25220, r25221; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r25170); mpfr_init_set_str(r25171, "2", 10, MPFR_RNDN); mpfr_init(r25172); mpfr_init(r25173); mpfr_init(r25174); mpfr_init_set_str(r25175, "-2.1100752249171116e+124", 10, MPFR_RNDN); 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(r25186); 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_set_str(r25196, "-3.4336865090882874e-215", 10, MPFR_RNDN); mpfr_init(r25197); mpfr_init(r25198); mpfr_init(r25199); mpfr_init(r25200); mpfr_init(r25201); mpfr_init(r25202); mpfr_init(r25203); mpfr_init_set_str(r25204, "3.75079317347e-316", 10, MPFR_RNDN); mpfr_init(r25205); mpfr_init(r25206); mpfr_init(r25207); mpfr_init(r25208); mpfr_init_set_str(r25209, "3", 10, MPFR_RNDN); 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); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25170, n, MPFR_RNDN); ; mpfr_mul(r25172, r25170, r25171, MPFR_RNDN); mpfr_set_d(r25173, U, MPFR_RNDN); mpfr_mul(r25174, r25172, r25173, MPFR_RNDN); ; mpfr_set_si(r25176, mpfr_cmp(r25174, r25175) <= 0, MPFR_RNDN); mpfr_mul(r25177, r25171, r25170, MPFR_RNDN); mpfr_sqrt(r25178, r25177, MPFR_RNDN); mpfr_set_d(r25179, t, MPFR_RNDN); mpfr_set_d(r25180, l, MPFR_RNDN); mpfr_set_d(r25181, Om, MPFR_RNDN); mpfr_div(r25182, r25181, r25180, MPFR_RNDN); mpfr_div(r25183, r25180, r25182, MPFR_RNDN); mpfr_mul(r25184, r25171, r25183, MPFR_RNDN); mpfr_sub(r25185, r25179, r25184, MPFR_RNDN); mpfr_div(r25186, r25180, r25181, MPFR_RNDN); mpfr_pow(r25187, r25186, r25171, MPFR_RNDN); mpfr_mul(r25188, r25170, r25187, MPFR_RNDN); mpfr_set_d(r25189, U_, MPFR_RNDN); mpfr_sub(r25190, r25173, r25189, MPFR_RNDN); mpfr_mul(r25191, r25188, r25190, MPFR_RNDN); mpfr_sub(r25192, r25185, r25191, MPFR_RNDN); mpfr_mul(r25193, r25173, r25192, MPFR_RNDN); mpfr_sqrt(r25194, r25193, MPFR_RNDN); mpfr_mul(r25195, r25178, r25194, MPFR_RNDN); ; mpfr_set_si(r25197, mpfr_cmp(r25174, r25196) <= 0, MPFR_RNDN); mpfr_mul(r25198, r25177, r25173, MPFR_RNDN); mpfr_mul(r25199, r25187, r25190, MPFR_RNDN); mpfr_mul(r25200, r25170, r25199, MPFR_RNDN); mpfr_sub(r25201, r25185, r25200, MPFR_RNDN); mpfr_mul(r25202, r25198, r25201, MPFR_RNDN); mpfr_sqrt(r25203, r25202, MPFR_RNDN); ; mpfr_set_si(r25205, mpfr_cmp(r25174, r25204) <= 0, MPFR_RNDN); mpfr_mul(r25206, r25186, r25170, MPFR_RNDN); mpfr_mul(r25207, r25190, r25186, MPFR_RNDN); mpfr_mul(r25208, r25206, r25207, MPFR_RNDN); ; mpfr_pow(r25210, r25208, r25209, MPFR_RNDN); mpfr_cbrt(r25211, r25210, MPFR_RNDN); mpfr_sub(r25212, r25185, r25211, MPFR_RNDN); mpfr_mul(r25213, r25173, r25212, MPFR_RNDN); mpfr_mul(r25214, r25177, r25213, MPFR_RNDN); mpfr_sqrt(r25215, r25214, MPFR_RNDN); mpfr_sqrt(r25216, r25198, MPFR_RNDN); mpfr_sqrt(r25217, r25192, MPFR_RNDN); mpfr_mul(r25218, r25216, r25217, MPFR_RNDN); if (mpfr_get_si(r25205, MPFR_RNDN)) { mpfr_set(r25219, r25215, MPFR_RNDN); } else { mpfr_set(r25219, r25218, MPFR_RNDN); }; if (mpfr_get_si(r25197, MPFR_RNDN)) { mpfr_set(r25220, r25203, MPFR_RNDN); } else { mpfr_set(r25220, r25219, MPFR_RNDN); }; if (mpfr_get_si(r25176, MPFR_RNDN)) { mpfr_set(r25221, r25195, MPFR_RNDN); } else { mpfr_set(r25221, r25220, MPFR_RNDN); }; return mpfr_get_d(r25221, MPFR_RNDN); } static mpfr_t r25222, r25223, r25224, r25225, r25226, r25227, r25228, r25229, r25230, r25231, r25232, r25233, r25234, r25235, r25236, r25237, r25238, r25239, r25240, r25241, r25242, r25243, r25244, r25245, r25246, r25247, r25248, r25249, r25250, r25251, r25252, r25253, r25254, r25255, r25256, r25257, r25258, r25259, r25260, r25261, r25262, r25263, r25264, r25265, r25266, r25267, r25268, r25269, r25270, r25271, r25272, r25273; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r25222); mpfr_init_set_str(r25223, "2", 10, MPFR_RNDN); mpfr_init(r25224); mpfr_init(r25225); mpfr_init(r25226); mpfr_init_set_str(r25227, "-2.1100752249171116e+124", 10, MPFR_RNDN); mpfr_init(r25228); 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); mpfr_init(r25245); mpfr_init(r25246); mpfr_init(r25247); mpfr_init_set_str(r25248, "-3.4336865090882874e-215", 10, MPFR_RNDN); mpfr_init(r25249); mpfr_init(r25250); mpfr_init(r25251); mpfr_init(r25252); mpfr_init(r25253); mpfr_init(r25254); mpfr_init(r25255); mpfr_init_set_str(r25256, "3.75079317347e-316", 10, MPFR_RNDN); mpfr_init(r25257); mpfr_init(r25258); mpfr_init(r25259); mpfr_init(r25260); mpfr_init_set_str(r25261, "3", 10, MPFR_RNDN); mpfr_init(r25262); mpfr_init(r25263); mpfr_init(r25264); mpfr_init(r25265); mpfr_init(r25266); mpfr_init(r25267); mpfr_init(r25268); mpfr_init(r25269); mpfr_init(r25270); mpfr_init(r25271); mpfr_init(r25272); mpfr_init(r25273); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25222, n, MPFR_RNDN); ; mpfr_mul(r25224, r25222, r25223, MPFR_RNDN); mpfr_set_d(r25225, U, MPFR_RNDN); mpfr_mul(r25226, r25224, r25225, MPFR_RNDN); ; mpfr_set_si(r25228, mpfr_cmp(r25226, r25227) <= 0, MPFR_RNDN); mpfr_mul(r25229, r25223, r25222, MPFR_RNDN); mpfr_sqrt(r25230, r25229, MPFR_RNDN); mpfr_set_d(r25231, t, MPFR_RNDN); mpfr_set_d(r25232, l, MPFR_RNDN); mpfr_set_d(r25233, Om, MPFR_RNDN); mpfr_div(r25234, r25233, r25232, MPFR_RNDN); mpfr_div(r25235, r25232, r25234, MPFR_RNDN); mpfr_mul(r25236, r25223, r25235, MPFR_RNDN); mpfr_sub(r25237, r25231, r25236, MPFR_RNDN); mpfr_div(r25238, r25232, r25233, MPFR_RNDN); mpfr_pow(r25239, r25238, r25223, MPFR_RNDN); mpfr_mul(r25240, r25222, r25239, MPFR_RNDN); mpfr_set_d(r25241, U_, MPFR_RNDN); mpfr_sub(r25242, r25225, r25241, MPFR_RNDN); mpfr_mul(r25243, r25240, r25242, MPFR_RNDN); mpfr_sub(r25244, r25237, r25243, MPFR_RNDN); mpfr_mul(r25245, r25225, r25244, MPFR_RNDN); mpfr_sqrt(r25246, r25245, MPFR_RNDN); mpfr_mul(r25247, r25230, r25246, MPFR_RNDN); ; mpfr_set_si(r25249, mpfr_cmp(r25226, r25248) <= 0, MPFR_RNDN); mpfr_mul(r25250, r25229, r25225, MPFR_RNDN); mpfr_mul(r25251, r25239, r25242, MPFR_RNDN); mpfr_mul(r25252, r25222, r25251, MPFR_RNDN); mpfr_sub(r25253, r25237, r25252, MPFR_RNDN); mpfr_mul(r25254, r25250, r25253, MPFR_RNDN); mpfr_sqrt(r25255, r25254, MPFR_RNDN); ; mpfr_set_si(r25257, mpfr_cmp(r25226, r25256) <= 0, MPFR_RNDN); mpfr_mul(r25258, r25238, r25222, MPFR_RNDN); mpfr_mul(r25259, r25242, r25238, MPFR_RNDN); mpfr_mul(r25260, r25258, r25259, MPFR_RNDN); ; mpfr_pow(r25262, r25260, r25261, MPFR_RNDN); mpfr_cbrt(r25263, r25262, MPFR_RNDN); mpfr_sub(r25264, r25237, r25263, MPFR_RNDN); mpfr_mul(r25265, r25225, r25264, MPFR_RNDN); mpfr_mul(r25266, r25229, r25265, MPFR_RNDN); mpfr_sqrt(r25267, r25266, MPFR_RNDN); mpfr_sqrt(r25268, r25250, MPFR_RNDN); mpfr_sqrt(r25269, r25244, MPFR_RNDN); mpfr_mul(r25270, r25268, r25269, MPFR_RNDN); if (mpfr_get_si(r25257, MPFR_RNDN)) { mpfr_set(r25271, r25267, MPFR_RNDN); } else { mpfr_set(r25271, r25270, MPFR_RNDN); }; if (mpfr_get_si(r25249, MPFR_RNDN)) { mpfr_set(r25272, r25255, MPFR_RNDN); } else { mpfr_set(r25272, r25271, MPFR_RNDN); }; if (mpfr_get_si(r25228, MPFR_RNDN)) { mpfr_set(r25273, r25247, MPFR_RNDN); } else { mpfr_set(r25273, r25272, MPFR_RNDN); }; return mpfr_get_d(r25273, MPFR_RNDN); }