#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 r24905 = 2; float r24906 = n; float r24907 = r24905 * r24906; float r24908 = U; float r24909 = r24907 * r24908; float r24910 = t; float r24911 = l; float r24912 = r24911 * r24911; float r24913 = Om; float r24914 = r24912 / r24913; float r24915 = r24905 * r24914; float r24916 = r24910 - r24915; float r24917 = r24911 / r24913; float r24918 = pow(r24917, r24905); float r24919 = r24906 * r24918; float r24920 = U_; float r24921 = r24908 - r24920; float r24922 = r24919 * r24921; float r24923 = r24916 - r24922; float r24924 = r24909 * r24923; float r24925 = sqrt(r24924); return r24925; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r24926 = 2; double r24927 = n; double r24928 = r24926 * r24927; double r24929 = U; double r24930 = r24928 * r24929; double r24931 = t; double r24932 = l; double r24933 = r24932 * r24932; double r24934 = Om; double r24935 = r24933 / r24934; double r24936 = r24926 * r24935; double r24937 = r24931 - r24936; double r24938 = r24932 / r24934; double r24939 = pow(r24938, r24926); double r24940 = r24927 * r24939; double r24941 = U_; double r24942 = r24929 - r24941; double r24943 = r24940 * r24942; double r24944 = r24937 - r24943; double r24945 = r24930 * r24944; double r24946 = sqrt(r24945); return r24946; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r24947 = n; float r24948 = 2; float r24949 = r24947 * r24948; float r24950 = U; float r24951 = r24949 * r24950; float r24952 = -2.1100752249171116e+124; bool r24953 = r24951 <= r24952; float r24954 = r24948 * r24947; float r24955 = sqrt(r24954); float r24956 = t; float r24957 = l; float r24958 = Om; float r24959 = r24958 / r24957; float r24960 = r24957 / r24959; float r24961 = r24948 * r24960; float r24962 = r24956 - r24961; float r24963 = r24957 / r24958; float r24964 = pow(r24963, r24948); float r24965 = r24947 * r24964; float r24966 = U_; float r24967 = r24950 - r24966; float r24968 = r24965 * r24967; float r24969 = r24962 - r24968; float r24970 = r24950 * r24969; float r24971 = sqrt(r24970); float r24972 = r24955 * r24971; float r24973 = -4.1420308787400787e-216; bool r24974 = r24951 <= r24973; float r24975 = r24954 * r24950; float r24976 = r24964 * r24967; float r24977 = r24947 * r24976; float r24978 = r24962 - r24977; float r24979 = r24975 * r24978; float r24980 = sqrt(r24979); float r24981 = 1.8655777978256e-316; bool r24982 = r24951 <= r24981; float r24983 = r24963 * r24947; float r24984 = r24967 * r24963; float r24985 = r24983 * r24984; float r24986 = 3; float r24987 = pow(r24985, r24986); float r24988 = cbrt(r24987); float r24989 = r24962 - r24988; float r24990 = r24950 * r24989; float r24991 = r24954 * r24990; float r24992 = sqrt(r24991); float r24993 = sqrt(r24975); float r24994 = sqrt(r24969); float r24995 = r24993 * r24994; float r24996 = r24982 ? r24992 : r24995; float r24997 = r24974 ? r24980 : r24996; float r24998 = r24953 ? r24972 : r24997; return r24998; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r24999 = n; double r25000 = 2; double r25001 = r24999 * r25000; double r25002 = U; double r25003 = r25001 * r25002; double r25004 = -2.1100752249171116e+124; bool r25005 = r25003 <= r25004; double r25006 = r25000 * r24999; double r25007 = sqrt(r25006); double r25008 = t; double r25009 = l; double r25010 = Om; double r25011 = r25010 / r25009; double r25012 = r25009 / r25011; double r25013 = r25000 * r25012; double r25014 = r25008 - r25013; double r25015 = r25009 / r25010; double r25016 = pow(r25015, r25000); double r25017 = r24999 * r25016; double r25018 = U_; double r25019 = r25002 - r25018; double r25020 = r25017 * r25019; double r25021 = r25014 - r25020; double r25022 = r25002 * r25021; double r25023 = sqrt(r25022); double r25024 = r25007 * r25023; double r25025 = -4.1420308787400787e-216; bool r25026 = r25003 <= r25025; double r25027 = r25006 * r25002; double r25028 = r25016 * r25019; double r25029 = r24999 * r25028; double r25030 = r25014 - r25029; double r25031 = r25027 * r25030; double r25032 = sqrt(r25031); double r25033 = 1.8655777978256e-316; bool r25034 = r25003 <= r25033; double r25035 = r25015 * r24999; double r25036 = r25019 * r25015; double r25037 = r25035 * r25036; double r25038 = 3; double r25039 = pow(r25037, r25038); double r25040 = cbrt(r25039); double r25041 = r25014 - r25040; double r25042 = r25002 * r25041; double r25043 = r25006 * r25042; double r25044 = sqrt(r25043); double r25045 = sqrt(r25027); double r25046 = sqrt(r25021); double r25047 = r25045 * r25046; double r25048 = r25034 ? r25044 : r25047; double r25049 = r25026 ? r25032 : r25048; double r25050 = r25005 ? r25024 : r25049; return r25050; } 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 r25051, r25052, r25053, r25054, r25055, r25056, r25057, r25058, r25059, r25060, r25061, r25062, r25063, r25064, r25065, r25066, r25067, r25068, r25069, r25070, r25071; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r25051, "2", 10, MPFR_RNDN); mpfr_init(r25052); mpfr_init(r25053); mpfr_init(r25054); mpfr_init(r25055); mpfr_init(r25056); mpfr_init(r25057); mpfr_init(r25058); mpfr_init(r25059); mpfr_init(r25060); mpfr_init(r25061); mpfr_init(r25062); mpfr_init(r25063); mpfr_init(r25064); mpfr_init(r25065); mpfr_init(r25066); mpfr_init(r25067); mpfr_init(r25068); mpfr_init(r25069); mpfr_init(r25070); mpfr_init(r25071); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r25052, n, MPFR_RNDN); mpfr_mul(r25053, r25051, r25052, MPFR_RNDN); mpfr_set_d(r25054, U, MPFR_RNDN); mpfr_mul(r25055, r25053, r25054, MPFR_RNDN); mpfr_set_d(r25056, t, MPFR_RNDN); mpfr_set_d(r25057, l, MPFR_RNDN); mpfr_mul(r25058, r25057, r25057, MPFR_RNDN); mpfr_set_d(r25059, Om, MPFR_RNDN); mpfr_div(r25060, r25058, r25059, MPFR_RNDN); mpfr_mul(r25061, r25051, r25060, MPFR_RNDN); mpfr_sub(r25062, r25056, r25061, MPFR_RNDN); mpfr_div(r25063, r25057, r25059, MPFR_RNDN); mpfr_pow(r25064, r25063, r25051, MPFR_RNDN); mpfr_mul(r25065, r25052, r25064, MPFR_RNDN); mpfr_set_d(r25066, U_, MPFR_RNDN); mpfr_sub(r25067, r25054, r25066, MPFR_RNDN); mpfr_mul(r25068, r25065, r25067, MPFR_RNDN); mpfr_sub(r25069, r25062, r25068, MPFR_RNDN); mpfr_mul(r25070, r25055, r25069, MPFR_RNDN); mpfr_sqrt(r25071, r25070, MPFR_RNDN); return mpfr_get_d(r25071, MPFR_RNDN); } static mpfr_t r25072, r25073, r25074, r25075, r25076, r25077, r25078, r25079, r25080, r25081, r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094, r25095, r25096, r25097, r25098, r25099, r25100, r25101, r25102, r25103, r25104, r25105, r25106, r25107, r25108, r25109, r25110, r25111, r25112, r25113, r25114, r25115, r25116, r25117, r25118, r25119, r25120, r25121, r25122, r25123; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r25072); mpfr_init_set_str(r25073, "2", 10, MPFR_RNDN); mpfr_init(r25074); mpfr_init(r25075); mpfr_init(r25076); mpfr_init_set_str(r25077, "-2.1100752249171116e+124", 10, MPFR_RNDN); mpfr_init(r25078); mpfr_init(r25079); mpfr_init(r25080); mpfr_init(r25081); mpfr_init(r25082); mpfr_init(r25083); mpfr_init(r25084); mpfr_init(r25085); mpfr_init(r25086); mpfr_init(r25087); mpfr_init(r25088); mpfr_init(r25089); mpfr_init(r25090); mpfr_init(r25091); mpfr_init(r25092); mpfr_init(r25093); mpfr_init(r25094); mpfr_init(r25095); mpfr_init(r25096); mpfr_init(r25097); mpfr_init_set_str(r25098, "-4.1420308787400787e-216", 10, MPFR_RNDN); mpfr_init(r25099); mpfr_init(r25100); mpfr_init(r25101); mpfr_init(r25102); mpfr_init(r25103); mpfr_init(r25104); mpfr_init(r25105); mpfr_init_set_str(r25106, "1.8655777978256e-316", 10, MPFR_RNDN); mpfr_init(r25107); mpfr_init(r25108); mpfr_init(r25109); mpfr_init(r25110); mpfr_init_set_str(r25111, "3", 10, MPFR_RNDN); mpfr_init(r25112); mpfr_init(r25113); mpfr_init(r25114); mpfr_init(r25115); mpfr_init(r25116); mpfr_init(r25117); mpfr_init(r25118); mpfr_init(r25119); mpfr_init(r25120); mpfr_init(r25121); mpfr_init(r25122); mpfr_init(r25123); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25072, n, MPFR_RNDN); ; mpfr_mul(r25074, r25072, r25073, MPFR_RNDN); mpfr_set_d(r25075, U, MPFR_RNDN); mpfr_mul(r25076, r25074, r25075, MPFR_RNDN); ; mpfr_set_si(r25078, mpfr_cmp(r25076, r25077) <= 0, MPFR_RNDN); mpfr_mul(r25079, r25073, r25072, MPFR_RNDN); mpfr_sqrt(r25080, r25079, MPFR_RNDN); mpfr_set_d(r25081, t, MPFR_RNDN); mpfr_set_d(r25082, l, MPFR_RNDN); mpfr_set_d(r25083, Om, MPFR_RNDN); mpfr_div(r25084, r25083, r25082, MPFR_RNDN); mpfr_div(r25085, r25082, r25084, MPFR_RNDN); mpfr_mul(r25086, r25073, r25085, MPFR_RNDN); mpfr_sub(r25087, r25081, r25086, MPFR_RNDN); mpfr_div(r25088, r25082, r25083, MPFR_RNDN); mpfr_pow(r25089, r25088, r25073, MPFR_RNDN); mpfr_mul(r25090, r25072, r25089, MPFR_RNDN); mpfr_set_d(r25091, U_, MPFR_RNDN); mpfr_sub(r25092, r25075, r25091, MPFR_RNDN); mpfr_mul(r25093, r25090, r25092, MPFR_RNDN); mpfr_sub(r25094, r25087, r25093, MPFR_RNDN); mpfr_mul(r25095, r25075, r25094, MPFR_RNDN); mpfr_sqrt(r25096, r25095, MPFR_RNDN); mpfr_mul(r25097, r25080, r25096, MPFR_RNDN); ; mpfr_set_si(r25099, mpfr_cmp(r25076, r25098) <= 0, MPFR_RNDN); mpfr_mul(r25100, r25079, r25075, MPFR_RNDN); mpfr_mul(r25101, r25089, r25092, MPFR_RNDN); mpfr_mul(r25102, r25072, r25101, MPFR_RNDN); mpfr_sub(r25103, r25087, r25102, MPFR_RNDN); mpfr_mul(r25104, r25100, r25103, MPFR_RNDN); mpfr_sqrt(r25105, r25104, MPFR_RNDN); ; mpfr_set_si(r25107, mpfr_cmp(r25076, r25106) <= 0, MPFR_RNDN); mpfr_mul(r25108, r25088, r25072, MPFR_RNDN); mpfr_mul(r25109, r25092, r25088, MPFR_RNDN); mpfr_mul(r25110, r25108, r25109, MPFR_RNDN); ; mpfr_pow(r25112, r25110, r25111, MPFR_RNDN); mpfr_cbrt(r25113, r25112, MPFR_RNDN); mpfr_sub(r25114, r25087, r25113, MPFR_RNDN); mpfr_mul(r25115, r25075, r25114, MPFR_RNDN); mpfr_mul(r25116, r25079, r25115, MPFR_RNDN); mpfr_sqrt(r25117, r25116, MPFR_RNDN); mpfr_sqrt(r25118, r25100, MPFR_RNDN); mpfr_sqrt(r25119, r25094, MPFR_RNDN); mpfr_mul(r25120, r25118, r25119, MPFR_RNDN); if (mpfr_get_si(r25107, MPFR_RNDN)) { mpfr_set(r25121, r25117, MPFR_RNDN); } else { mpfr_set(r25121, r25120, MPFR_RNDN); }; if (mpfr_get_si(r25099, MPFR_RNDN)) { mpfr_set(r25122, r25105, MPFR_RNDN); } else { mpfr_set(r25122, r25121, MPFR_RNDN); }; if (mpfr_get_si(r25078, MPFR_RNDN)) { mpfr_set(r25123, r25097, MPFR_RNDN); } else { mpfr_set(r25123, r25122, MPFR_RNDN); }; return mpfr_get_d(r25123, MPFR_RNDN); } static mpfr_t r25124, r25125, r25126, r25127, r25128, r25129, r25130, r25131, r25132, r25133, r25134, r25135, r25136, r25137, r25138, r25139, r25140, r25141, r25142, r25143, r25144, r25145, r25146, r25147, r25148, r25149, r25150, r25151, r25152, r25153, r25154, r25155, r25156, r25157, r25158, r25159, r25160, r25161, r25162, r25163, r25164, r25165, r25166, r25167, r25168, r25169, r25170, r25171, r25172, r25173, r25174, r25175; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r25124); mpfr_init_set_str(r25125, "2", 10, MPFR_RNDN); mpfr_init(r25126); mpfr_init(r25127); mpfr_init(r25128); mpfr_init_set_str(r25129, "-2.1100752249171116e+124", 10, MPFR_RNDN); mpfr_init(r25130); mpfr_init(r25131); mpfr_init(r25132); mpfr_init(r25133); mpfr_init(r25134); mpfr_init(r25135); mpfr_init(r25136); mpfr_init(r25137); mpfr_init(r25138); mpfr_init(r25139); mpfr_init(r25140); 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_set_str(r25150, "-4.1420308787400787e-216", 10, MPFR_RNDN); mpfr_init(r25151); mpfr_init(r25152); mpfr_init(r25153); mpfr_init(r25154); mpfr_init(r25155); mpfr_init(r25156); mpfr_init(r25157); mpfr_init_set_str(r25158, "1.8655777978256e-316", 10, MPFR_RNDN); mpfr_init(r25159); mpfr_init(r25160); mpfr_init(r25161); mpfr_init(r25162); mpfr_init_set_str(r25163, "3", 10, MPFR_RNDN); mpfr_init(r25164); mpfr_init(r25165); mpfr_init(r25166); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25124, n, MPFR_RNDN); ; mpfr_mul(r25126, r25124, r25125, MPFR_RNDN); mpfr_set_d(r25127, U, MPFR_RNDN); mpfr_mul(r25128, r25126, r25127, MPFR_RNDN); ; mpfr_set_si(r25130, mpfr_cmp(r25128, r25129) <= 0, MPFR_RNDN); mpfr_mul(r25131, r25125, r25124, MPFR_RNDN); mpfr_sqrt(r25132, r25131, MPFR_RNDN); mpfr_set_d(r25133, t, MPFR_RNDN); mpfr_set_d(r25134, l, MPFR_RNDN); mpfr_set_d(r25135, Om, MPFR_RNDN); mpfr_div(r25136, r25135, r25134, MPFR_RNDN); mpfr_div(r25137, r25134, r25136, MPFR_RNDN); mpfr_mul(r25138, r25125, r25137, MPFR_RNDN); mpfr_sub(r25139, r25133, r25138, MPFR_RNDN); mpfr_div(r25140, r25134, r25135, MPFR_RNDN); mpfr_pow(r25141, r25140, r25125, MPFR_RNDN); mpfr_mul(r25142, r25124, r25141, MPFR_RNDN); mpfr_set_d(r25143, U_, MPFR_RNDN); mpfr_sub(r25144, r25127, r25143, MPFR_RNDN); mpfr_mul(r25145, r25142, r25144, MPFR_RNDN); mpfr_sub(r25146, r25139, r25145, MPFR_RNDN); mpfr_mul(r25147, r25127, r25146, MPFR_RNDN); mpfr_sqrt(r25148, r25147, MPFR_RNDN); mpfr_mul(r25149, r25132, r25148, MPFR_RNDN); ; mpfr_set_si(r25151, mpfr_cmp(r25128, r25150) <= 0, MPFR_RNDN); mpfr_mul(r25152, r25131, r25127, MPFR_RNDN); mpfr_mul(r25153, r25141, r25144, MPFR_RNDN); mpfr_mul(r25154, r25124, r25153, MPFR_RNDN); mpfr_sub(r25155, r25139, r25154, MPFR_RNDN); mpfr_mul(r25156, r25152, r25155, MPFR_RNDN); mpfr_sqrt(r25157, r25156, MPFR_RNDN); ; mpfr_set_si(r25159, mpfr_cmp(r25128, r25158) <= 0, MPFR_RNDN); mpfr_mul(r25160, r25140, r25124, MPFR_RNDN); mpfr_mul(r25161, r25144, r25140, MPFR_RNDN); mpfr_mul(r25162, r25160, r25161, MPFR_RNDN); ; mpfr_pow(r25164, r25162, r25163, MPFR_RNDN); mpfr_cbrt(r25165, r25164, MPFR_RNDN); mpfr_sub(r25166, r25139, r25165, MPFR_RNDN); mpfr_mul(r25167, r25127, r25166, MPFR_RNDN); mpfr_mul(r25168, r25131, r25167, MPFR_RNDN); mpfr_sqrt(r25169, r25168, MPFR_RNDN); mpfr_sqrt(r25170, r25152, MPFR_RNDN); mpfr_sqrt(r25171, r25146, MPFR_RNDN); mpfr_mul(r25172, r25170, r25171, MPFR_RNDN); if (mpfr_get_si(r25159, MPFR_RNDN)) { mpfr_set(r25173, r25169, MPFR_RNDN); } else { mpfr_set(r25173, r25172, MPFR_RNDN); }; if (mpfr_get_si(r25151, MPFR_RNDN)) { mpfr_set(r25174, r25157, MPFR_RNDN); } else { mpfr_set(r25174, r25173, MPFR_RNDN); }; if (mpfr_get_si(r25130, MPFR_RNDN)) { mpfr_set(r25175, r25149, MPFR_RNDN); } else { mpfr_set(r25175, r25174, MPFR_RNDN); }; return mpfr_get_d(r25175, MPFR_RNDN); }