#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22005 = 1; float r22006 = 2; float r22007 = r22005 / r22006; float r22008 = l; float r22009 = r22006 * r22008; float r22010 = Om; float r22011 = r22009 / r22010; float r22012 = pow(r22011, r22006); float r22013 = kx; float r22014 = sin(r22013); float r22015 = pow(r22014, r22006); float r22016 = ky; float r22017 = sin(r22016); float r22018 = pow(r22017, r22006); float r22019 = r22015 + r22018; float r22020 = r22012 * r22019; float r22021 = r22005 + r22020; float r22022 = sqrt(r22021); float r22023 = r22005 / r22022; float r22024 = r22005 + r22023; float r22025 = r22007 * r22024; float r22026 = sqrt(r22025); return r22026; } double f_id(double l, double Om, double kx, double ky) { double r22027 = 1; double r22028 = 2; double r22029 = r22027 / r22028; double r22030 = l; double r22031 = r22028 * r22030; double r22032 = Om; double r22033 = r22031 / r22032; double r22034 = pow(r22033, r22028); double r22035 = kx; double r22036 = sin(r22035); double r22037 = pow(r22036, r22028); double r22038 = ky; double r22039 = sin(r22038); double r22040 = pow(r22039, r22028); double r22041 = r22037 + r22040; double r22042 = r22034 * r22041; double r22043 = r22027 + r22042; double r22044 = sqrt(r22043); double r22045 = r22027 / r22044; double r22046 = r22027 + r22045; double r22047 = r22029 * r22046; double r22048 = sqrt(r22047); return r22048; } double f_of(float l, float Om, float kx, float ky) { float r22049 = 1; float r22050 = 2; float r22051 = r22049 / r22050; float r22052 = l; float r22053 = Om; float r22054 = r22053 / r22050; float r22055 = r22052 / r22054; float r22056 = kx; float r22057 = sin(r22056); float r22058 = ky; float r22059 = sin(r22058); float r22060 = hypot(r22057, r22059); float r22061 = r22055 * r22060; float r22062 = hypot(r22049, r22061); float r22063 = expm1(r22062); float r22064 = log1p(r22063); float r22065 = r22049 / r22064; float r22066 = r22049 + r22065; float r22067 = r22051 * r22066; float r22068 = sqrt(r22067); return r22068; } double f_od(double l, double Om, double kx, double ky) { double r22069 = 1; double r22070 = 2; double r22071 = r22069 / r22070; double r22072 = l; double r22073 = Om; double r22074 = r22073 / r22070; double r22075 = r22072 / r22074; double r22076 = kx; double r22077 = sin(r22076); double r22078 = ky; double r22079 = sin(r22078); double r22080 = hypot(r22077, r22079); double r22081 = r22075 * r22080; double r22082 = hypot(r22069, r22081); double r22083 = expm1(r22082); double r22084 = log1p(r22083); double r22085 = r22069 / r22084; double r22086 = r22069 + r22085; double r22087 = r22071 * r22086; double r22088 = sqrt(r22087); return r22088; } 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 r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22089, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22090, "2", 10, MPFR_RNDN); mpfr_init(r22091); 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); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22091, r22089, r22090, MPFR_RNDN); mpfr_set_d(r22092, l, MPFR_RNDN); mpfr_mul(r22093, r22090, r22092, MPFR_RNDN); mpfr_set_d(r22094, Om, MPFR_RNDN); mpfr_div(r22095, r22093, r22094, MPFR_RNDN); mpfr_pow(r22096, r22095, r22090, MPFR_RNDN); mpfr_set_d(r22097, kx, MPFR_RNDN); mpfr_sin(r22098, r22097, MPFR_RNDN); mpfr_pow(r22099, r22098, r22090, MPFR_RNDN); mpfr_set_d(r22100, ky, MPFR_RNDN); mpfr_sin(r22101, r22100, MPFR_RNDN); mpfr_pow(r22102, r22101, r22090, MPFR_RNDN); mpfr_add(r22103, r22099, r22102, MPFR_RNDN); mpfr_mul(r22104, r22096, r22103, MPFR_RNDN); mpfr_add(r22105, r22089, r22104, MPFR_RNDN); mpfr_sqrt(r22106, r22105, MPFR_RNDN); mpfr_div(r22107, r22089, r22106, MPFR_RNDN); mpfr_add(r22108, r22089, r22107, MPFR_RNDN); mpfr_mul(r22109, r22091, r22108, MPFR_RNDN); mpfr_sqrt(r22110, r22109, MPFR_RNDN); return mpfr_get_d(r22110, MPFR_RNDN); } static mpfr_t r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22111, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22112, "2", 10, MPFR_RNDN); mpfr_init(r22113); 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); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22113, r22111, r22112, MPFR_RNDN); mpfr_set_d(r22114, l, MPFR_RNDN); mpfr_set_d(r22115, Om, MPFR_RNDN); mpfr_div(r22116, r22115, r22112, MPFR_RNDN); mpfr_div(r22117, r22114, r22116, MPFR_RNDN); mpfr_set_d(r22118, kx, MPFR_RNDN); mpfr_sin(r22119, r22118, MPFR_RNDN); mpfr_set_d(r22120, ky, MPFR_RNDN); mpfr_sin(r22121, r22120, MPFR_RNDN); mpfr_hypot(r22122, r22119, r22121, MPFR_RNDN); mpfr_mul(r22123, r22117, r22122, MPFR_RNDN); mpfr_hypot(r22124, r22111, r22123, MPFR_RNDN); mpfr_expm1(r22125, r22124, MPFR_RNDN); mpfr_log1p(r22126, r22125, MPFR_RNDN); mpfr_div(r22127, r22111, r22126, MPFR_RNDN); mpfr_add(r22128, r22111, r22127, MPFR_RNDN); mpfr_mul(r22129, r22113, r22128, MPFR_RNDN); mpfr_sqrt(r22130, r22129, MPFR_RNDN); return mpfr_get_d(r22130, MPFR_RNDN); } static mpfr_t r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22131, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22132, "2", 10, MPFR_RNDN); 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); mpfr_init(r22142); mpfr_init(r22143); mpfr_init(r22144); mpfr_init(r22145); mpfr_init(r22146); mpfr_init(r22147); mpfr_init(r22148); mpfr_init(r22149); mpfr_init(r22150); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22133, r22131, r22132, MPFR_RNDN); mpfr_set_d(r22134, l, MPFR_RNDN); mpfr_set_d(r22135, Om, MPFR_RNDN); mpfr_div(r22136, r22135, r22132, MPFR_RNDN); mpfr_div(r22137, r22134, r22136, MPFR_RNDN); mpfr_set_d(r22138, kx, MPFR_RNDN); mpfr_sin(r22139, r22138, MPFR_RNDN); mpfr_set_d(r22140, ky, MPFR_RNDN); mpfr_sin(r22141, r22140, MPFR_RNDN); mpfr_hypot(r22142, r22139, r22141, MPFR_RNDN); mpfr_mul(r22143, r22137, r22142, MPFR_RNDN); mpfr_hypot(r22144, r22131, r22143, MPFR_RNDN); mpfr_expm1(r22145, r22144, MPFR_RNDN); mpfr_log1p(r22146, r22145, MPFR_RNDN); mpfr_div(r22147, r22131, r22146, MPFR_RNDN); mpfr_add(r22148, r22131, r22147, MPFR_RNDN); mpfr_mul(r22149, r22133, r22148, MPFR_RNDN); mpfr_sqrt(r22150, r22149, MPFR_RNDN); return mpfr_get_d(r22150, MPFR_RNDN); }