#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r21988 = 1; float r21989 = 2; float r21990 = r21988 / r21989; float r21991 = l; float r21992 = r21989 * r21991; float r21993 = Om; float r21994 = r21992 / r21993; float r21995 = pow(r21994, r21989); float r21996 = kx; float r21997 = sin(r21996); float r21998 = pow(r21997, r21989); float r21999 = ky; float r22000 = sin(r21999); float r22001 = pow(r22000, r21989); float r22002 = r21998 + r22001; float r22003 = r21995 * r22002; float r22004 = r21988 + r22003; float r22005 = sqrt(r22004); float r22006 = r21988 / r22005; float r22007 = r21988 + r22006; float r22008 = r21990 * r22007; float r22009 = sqrt(r22008); return r22009; } double f_id(double l, double Om, double kx, double ky) { double r22010 = 1; double r22011 = 2; double r22012 = r22010 / r22011; double r22013 = l; double r22014 = r22011 * r22013; double r22015 = Om; double r22016 = r22014 / r22015; double r22017 = pow(r22016, r22011); double r22018 = kx; double r22019 = sin(r22018); double r22020 = pow(r22019, r22011); double r22021 = ky; double r22022 = sin(r22021); double r22023 = pow(r22022, r22011); double r22024 = r22020 + r22023; double r22025 = r22017 * r22024; double r22026 = r22010 + r22025; double r22027 = sqrt(r22026); double r22028 = r22010 / r22027; double r22029 = r22010 + r22028; double r22030 = r22012 * r22029; double r22031 = sqrt(r22030); return r22031; } double f_of(float l, float Om, float kx, float ky) { float r22032 = 1; float r22033 = 2; float r22034 = r22032 / r22033; float r22035 = l; float r22036 = r22033 * r22035; float r22037 = Om; float r22038 = r22036 / r22037; float r22039 = pow(r22038, r22033); float r22040 = kx; float r22041 = sin(r22040); float r22042 = pow(r22041, r22033); float r22043 = ky; float r22044 = sin(r22043); float r22045 = pow(r22044, r22033); float r22046 = r22042 + r22045; float r22047 = r22039 * r22046; float r22048 = r22032 + r22047; float r22049 = sqrt(r22048); float r22050 = r22032 / r22049; float r22051 = r22032 + r22050; float r22052 = r22034 * r22051; float r22053 = sqrt(r22052); return r22053; } double f_od(double l, double Om, double kx, double ky) { double r22054 = 1; double r22055 = 2; double r22056 = r22054 / r22055; double r22057 = l; double r22058 = r22055 * r22057; double r22059 = Om; double r22060 = r22058 / r22059; double r22061 = pow(r22060, r22055); double r22062 = kx; double r22063 = sin(r22062); double r22064 = pow(r22063, r22055); double r22065 = ky; double r22066 = sin(r22065); double r22067 = pow(r22066, r22055); double r22068 = r22064 + r22067; double r22069 = r22061 * r22068; double r22070 = r22054 + r22069; double r22071 = sqrt(r22070); double r22072 = r22054 / r22071; double r22073 = r22054 + r22072; double r22074 = r22056 * r22073; double r22075 = sqrt(r22074); return r22075; } 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 r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22076, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22077, "2", 10, MPFR_RNDN); 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); mpfr_init(r22090); mpfr_init(r22091); mpfr_init(r22092); mpfr_init(r22093); mpfr_init(r22094); mpfr_init(r22095); mpfr_init(r22096); mpfr_init(r22097); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22078, r22076, r22077, MPFR_RNDN); mpfr_set_d(r22079, l, MPFR_RNDN); mpfr_mul(r22080, r22077, r22079, MPFR_RNDN); mpfr_set_d(r22081, Om, MPFR_RNDN); mpfr_div(r22082, r22080, r22081, MPFR_RNDN); mpfr_pow(r22083, r22082, r22077, MPFR_RNDN); mpfr_set_d(r22084, kx, MPFR_RNDN); mpfr_sin(r22085, r22084, MPFR_RNDN); mpfr_pow(r22086, r22085, r22077, MPFR_RNDN); mpfr_set_d(r22087, ky, MPFR_RNDN); mpfr_sin(r22088, r22087, MPFR_RNDN); mpfr_pow(r22089, r22088, r22077, MPFR_RNDN); mpfr_add(r22090, r22086, r22089, MPFR_RNDN); mpfr_mul(r22091, r22083, r22090, MPFR_RNDN); mpfr_add(r22092, r22076, r22091, MPFR_RNDN); mpfr_sqrt(r22093, r22092, MPFR_RNDN); mpfr_div(r22094, r22076, r22093, MPFR_RNDN); mpfr_add(r22095, r22076, r22094, MPFR_RNDN); mpfr_mul(r22096, r22078, r22095, MPFR_RNDN); mpfr_sqrt(r22097, r22096, MPFR_RNDN); return mpfr_get_d(r22097, MPFR_RNDN); } static mpfr_t r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22098, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22099, "2", 10, MPFR_RNDN); 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); mpfr_init(r22112); mpfr_init(r22113); mpfr_init(r22114); mpfr_init(r22115); mpfr_init(r22116); mpfr_init(r22117); mpfr_init(r22118); mpfr_init(r22119); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22100, r22098, r22099, MPFR_RNDN); mpfr_set_d(r22101, l, MPFR_RNDN); mpfr_mul(r22102, r22099, r22101, MPFR_RNDN); mpfr_set_d(r22103, Om, MPFR_RNDN); mpfr_div(r22104, r22102, r22103, MPFR_RNDN); mpfr_pow(r22105, r22104, r22099, MPFR_RNDN); mpfr_set_d(r22106, kx, MPFR_RNDN); mpfr_sin(r22107, r22106, MPFR_RNDN); mpfr_pow(r22108, r22107, r22099, MPFR_RNDN); mpfr_set_d(r22109, ky, MPFR_RNDN); mpfr_sin(r22110, r22109, MPFR_RNDN); mpfr_pow(r22111, r22110, r22099, MPFR_RNDN); mpfr_add(r22112, r22108, r22111, MPFR_RNDN); mpfr_mul(r22113, r22105, r22112, MPFR_RNDN); mpfr_add(r22114, r22098, r22113, MPFR_RNDN); mpfr_sqrt(r22115, r22114, MPFR_RNDN); mpfr_div(r22116, r22098, r22115, MPFR_RNDN); mpfr_add(r22117, r22098, r22116, MPFR_RNDN); mpfr_mul(r22118, r22100, r22117, MPFR_RNDN); mpfr_sqrt(r22119, r22118, MPFR_RNDN); return mpfr_get_d(r22119, MPFR_RNDN); } static mpfr_t r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22120, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22121, "2", 10, MPFR_RNDN); 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); mpfr_init(r22134); mpfr_init(r22135); mpfr_init(r22136); mpfr_init(r22137); mpfr_init(r22138); mpfr_init(r22139); mpfr_init(r22140); mpfr_init(r22141); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22122, r22120, r22121, MPFR_RNDN); mpfr_set_d(r22123, l, MPFR_RNDN); mpfr_mul(r22124, r22121, r22123, MPFR_RNDN); mpfr_set_d(r22125, Om, MPFR_RNDN); mpfr_div(r22126, r22124, r22125, MPFR_RNDN); mpfr_pow(r22127, r22126, r22121, MPFR_RNDN); mpfr_set_d(r22128, kx, MPFR_RNDN); mpfr_sin(r22129, r22128, MPFR_RNDN); mpfr_pow(r22130, r22129, r22121, MPFR_RNDN); mpfr_set_d(r22131, ky, MPFR_RNDN); mpfr_sin(r22132, r22131, MPFR_RNDN); mpfr_pow(r22133, r22132, r22121, MPFR_RNDN); mpfr_add(r22134, r22130, r22133, MPFR_RNDN); mpfr_mul(r22135, r22127, r22134, MPFR_RNDN); mpfr_add(r22136, r22120, r22135, MPFR_RNDN); mpfr_sqrt(r22137, r22136, MPFR_RNDN); mpfr_div(r22138, r22120, r22137, MPFR_RNDN); mpfr_add(r22139, r22120, r22138, MPFR_RNDN); mpfr_mul(r22140, r22122, r22139, MPFR_RNDN); mpfr_sqrt(r22141, r22140, MPFR_RNDN); return mpfr_get_d(r22141, MPFR_RNDN); }