#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r21980 = 1; float r21981 = 2; float r21982 = r21980 / r21981; float r21983 = l; float r21984 = r21981 * r21983; float r21985 = Om; float r21986 = r21984 / r21985; float r21987 = pow(r21986, r21981); float r21988 = kx; float r21989 = sin(r21988); float r21990 = pow(r21989, r21981); float r21991 = ky; float r21992 = sin(r21991); float r21993 = pow(r21992, r21981); float r21994 = r21990 + r21993; float r21995 = r21987 * r21994; float r21996 = r21980 + r21995; float r21997 = sqrt(r21996); float r21998 = r21980 / r21997; float r21999 = r21980 + r21998; float r22000 = r21982 * r21999; float r22001 = sqrt(r22000); return r22001; } double f_id(double l, double Om, double kx, double ky) { double r22002 = 1; double r22003 = 2; double r22004 = r22002 / r22003; double r22005 = l; double r22006 = r22003 * r22005; double r22007 = Om; double r22008 = r22006 / r22007; double r22009 = pow(r22008, r22003); double r22010 = kx; double r22011 = sin(r22010); double r22012 = pow(r22011, r22003); double r22013 = ky; double r22014 = sin(r22013); double r22015 = pow(r22014, r22003); double r22016 = r22012 + r22015; double r22017 = r22009 * r22016; double r22018 = r22002 + r22017; double r22019 = sqrt(r22018); double r22020 = r22002 / r22019; double r22021 = r22002 + r22020; double r22022 = r22004 * r22021; double r22023 = sqrt(r22022); return r22023; } double f_of(float l, float Om, float kx, float ky) { float r22024 = 1; float r22025 = 2; float r22026 = r22024 / r22025; float r22027 = l; float r22028 = r22025 * r22027; float r22029 = Om; float r22030 = r22028 / r22029; float r22031 = pow(r22030, r22025); float r22032 = kx; float r22033 = sin(r22032); float r22034 = pow(r22033, r22025); float r22035 = ky; float r22036 = sin(r22035); float r22037 = pow(r22036, r22025); float r22038 = r22034 + r22037; float r22039 = r22031 * r22038; float r22040 = r22024 + r22039; float r22041 = sqrt(r22040); float r22042 = r22024 / r22041; float r22043 = r22024 + r22042; float r22044 = r22026 * r22043; float r22045 = sqrt(r22044); return r22045; } double f_od(double l, double Om, double kx, double ky) { double r22046 = 1; double r22047 = 2; double r22048 = r22046 / r22047; double r22049 = l; double r22050 = r22047 * r22049; double r22051 = Om; double r22052 = r22050 / r22051; double r22053 = pow(r22052, r22047); double r22054 = kx; double r22055 = sin(r22054); double r22056 = pow(r22055, r22047); double r22057 = ky; double r22058 = sin(r22057); double r22059 = pow(r22058, r22047); double r22060 = r22056 + r22059; double r22061 = r22053 * r22060; double r22062 = r22046 + r22061; double r22063 = sqrt(r22062); double r22064 = r22046 / r22063; double r22065 = r22046 + r22064; double r22066 = r22048 * r22065; double r22067 = sqrt(r22066); return r22067; } 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 r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22068, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22069, "2", 10, MPFR_RNDN); mpfr_init(r22070); mpfr_init(r22071); mpfr_init(r22072); mpfr_init(r22073); mpfr_init(r22074); mpfr_init(r22075); mpfr_init(r22076); mpfr_init(r22077); mpfr_init(r22078); mpfr_init(r22079); mpfr_init(r22080); mpfr_init(r22081); mpfr_init(r22082); mpfr_init(r22083); mpfr_init(r22084); mpfr_init(r22085); mpfr_init(r22086); mpfr_init(r22087); mpfr_init(r22088); mpfr_init(r22089); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22070, r22068, r22069, MPFR_RNDN); mpfr_set_d(r22071, l, MPFR_RNDN); mpfr_mul(r22072, r22069, r22071, MPFR_RNDN); mpfr_set_d(r22073, Om, MPFR_RNDN); mpfr_div(r22074, r22072, r22073, MPFR_RNDN); mpfr_pow(r22075, r22074, r22069, MPFR_RNDN); mpfr_set_d(r22076, kx, MPFR_RNDN); mpfr_sin(r22077, r22076, MPFR_RNDN); mpfr_pow(r22078, r22077, r22069, MPFR_RNDN); mpfr_set_d(r22079, ky, MPFR_RNDN); mpfr_sin(r22080, r22079, MPFR_RNDN); mpfr_pow(r22081, r22080, r22069, MPFR_RNDN); mpfr_add(r22082, r22078, r22081, MPFR_RNDN); mpfr_mul(r22083, r22075, r22082, MPFR_RNDN); mpfr_add(r22084, r22068, r22083, MPFR_RNDN); mpfr_sqrt(r22085, r22084, MPFR_RNDN); mpfr_div(r22086, r22068, r22085, MPFR_RNDN); mpfr_add(r22087, r22068, r22086, MPFR_RNDN); mpfr_mul(r22088, r22070, r22087, MPFR_RNDN); mpfr_sqrt(r22089, r22088, MPFR_RNDN); return mpfr_get_d(r22089, MPFR_RNDN); } static mpfr_t r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22090, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22091, "2", 10, MPFR_RNDN); mpfr_init(r22092); mpfr_init(r22093); mpfr_init(r22094); mpfr_init(r22095); mpfr_init(r22096); mpfr_init(r22097); mpfr_init(r22098); mpfr_init(r22099); mpfr_init(r22100); mpfr_init(r22101); mpfr_init(r22102); mpfr_init(r22103); mpfr_init(r22104); mpfr_init(r22105); mpfr_init(r22106); mpfr_init(r22107); mpfr_init(r22108); mpfr_init(r22109); mpfr_init(r22110); mpfr_init(r22111); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22092, r22090, r22091, MPFR_RNDN); mpfr_set_d(r22093, l, MPFR_RNDN); mpfr_mul(r22094, r22091, r22093, MPFR_RNDN); mpfr_set_d(r22095, Om, MPFR_RNDN); mpfr_div(r22096, r22094, r22095, MPFR_RNDN); mpfr_pow(r22097, r22096, r22091, MPFR_RNDN); mpfr_set_d(r22098, kx, MPFR_RNDN); mpfr_sin(r22099, r22098, MPFR_RNDN); mpfr_pow(r22100, r22099, r22091, MPFR_RNDN); mpfr_set_d(r22101, ky, MPFR_RNDN); mpfr_sin(r22102, r22101, MPFR_RNDN); mpfr_pow(r22103, r22102, r22091, MPFR_RNDN); mpfr_add(r22104, r22100, r22103, MPFR_RNDN); mpfr_mul(r22105, r22097, r22104, MPFR_RNDN); mpfr_add(r22106, r22090, r22105, MPFR_RNDN); mpfr_sqrt(r22107, r22106, MPFR_RNDN); mpfr_div(r22108, r22090, r22107, MPFR_RNDN); mpfr_add(r22109, r22090, r22108, MPFR_RNDN); mpfr_mul(r22110, r22092, r22109, MPFR_RNDN); mpfr_sqrt(r22111, r22110, MPFR_RNDN); return mpfr_get_d(r22111, MPFR_RNDN); } static mpfr_t r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22112, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22113, "2", 10, MPFR_RNDN); mpfr_init(r22114); mpfr_init(r22115); mpfr_init(r22116); mpfr_init(r22117); mpfr_init(r22118); mpfr_init(r22119); mpfr_init(r22120); mpfr_init(r22121); mpfr_init(r22122); mpfr_init(r22123); mpfr_init(r22124); mpfr_init(r22125); mpfr_init(r22126); mpfr_init(r22127); mpfr_init(r22128); mpfr_init(r22129); mpfr_init(r22130); mpfr_init(r22131); mpfr_init(r22132); mpfr_init(r22133); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22114, r22112, r22113, MPFR_RNDN); mpfr_set_d(r22115, l, MPFR_RNDN); mpfr_mul(r22116, r22113, r22115, MPFR_RNDN); mpfr_set_d(r22117, Om, MPFR_RNDN); mpfr_div(r22118, r22116, r22117, MPFR_RNDN); mpfr_pow(r22119, r22118, r22113, MPFR_RNDN); mpfr_set_d(r22120, kx, MPFR_RNDN); mpfr_sin(r22121, r22120, MPFR_RNDN); mpfr_pow(r22122, r22121, r22113, MPFR_RNDN); mpfr_set_d(r22123, ky, MPFR_RNDN); mpfr_sin(r22124, r22123, MPFR_RNDN); mpfr_pow(r22125, r22124, r22113, MPFR_RNDN); mpfr_add(r22126, r22122, r22125, MPFR_RNDN); mpfr_mul(r22127, r22119, r22126, MPFR_RNDN); mpfr_add(r22128, r22112, r22127, MPFR_RNDN); mpfr_sqrt(r22129, r22128, MPFR_RNDN); mpfr_div(r22130, r22112, r22129, MPFR_RNDN); mpfr_add(r22131, r22112, r22130, MPFR_RNDN); mpfr_mul(r22132, r22114, r22131, MPFR_RNDN); mpfr_sqrt(r22133, r22132, MPFR_RNDN); return mpfr_get_d(r22133, MPFR_RNDN); }