#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 = r22050 * r22052; float r22054 = Om; float r22055 = r22053 / r22054; float r22056 = pow(r22055, r22050); float r22057 = kx; float r22058 = sin(r22057); float r22059 = pow(r22058, r22050); float r22060 = ky; float r22061 = sin(r22060); float r22062 = pow(r22061, r22050); float r22063 = r22059 + r22062; float r22064 = r22056 * r22063; float r22065 = r22049 + r22064; float r22066 = sqrt(r22065); float r22067 = cbrt(r22066); float r22068 = r22067 * r22067; float r22069 = r22068 * r22067; float r22070 = r22049 / r22069; float r22071 = r22049 + r22070; float r22072 = r22051 * r22071; float r22073 = sqrt(r22072); return r22073; } double f_od(double l, double Om, double kx, double ky) { double r22074 = 1; double r22075 = 2; double r22076 = r22074 / r22075; double r22077 = l; double r22078 = r22075 * r22077; double r22079 = Om; double r22080 = r22078 / r22079; double r22081 = pow(r22080, r22075); double r22082 = kx; double r22083 = sin(r22082); double r22084 = pow(r22083, r22075); double r22085 = ky; double r22086 = sin(r22085); double r22087 = pow(r22086, r22075); double r22088 = r22084 + r22087; double r22089 = r22081 * r22088; double r22090 = r22074 + r22089; double r22091 = sqrt(r22090); double r22092 = cbrt(r22091); double r22093 = r22092 * r22092; double r22094 = r22093 * r22092; double r22095 = r22074 / r22094; double r22096 = r22074 + r22095; double r22097 = r22076 * r22096; double r22098 = sqrt(r22097); return r22098; } 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 r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22099, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22100, "2", 10, MPFR_RNDN); 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); mpfr_init(r22120); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22101, r22099, r22100, MPFR_RNDN); mpfr_set_d(r22102, l, MPFR_RNDN); mpfr_mul(r22103, r22100, r22102, MPFR_RNDN); mpfr_set_d(r22104, Om, MPFR_RNDN); mpfr_div(r22105, r22103, r22104, MPFR_RNDN); mpfr_pow(r22106, r22105, r22100, MPFR_RNDN); mpfr_set_d(r22107, kx, MPFR_RNDN); mpfr_sin(r22108, r22107, MPFR_RNDN); mpfr_pow(r22109, r22108, r22100, MPFR_RNDN); mpfr_set_d(r22110, ky, MPFR_RNDN); mpfr_sin(r22111, r22110, MPFR_RNDN); mpfr_pow(r22112, r22111, r22100, MPFR_RNDN); mpfr_add(r22113, r22109, r22112, MPFR_RNDN); mpfr_mul(r22114, r22106, r22113, MPFR_RNDN); mpfr_add(r22115, r22099, r22114, MPFR_RNDN); mpfr_sqrt(r22116, r22115, MPFR_RNDN); mpfr_div(r22117, r22099, r22116, MPFR_RNDN); mpfr_add(r22118, r22099, r22117, MPFR_RNDN); mpfr_mul(r22119, r22101, r22118, MPFR_RNDN); mpfr_sqrt(r22120, r22119, MPFR_RNDN); return mpfr_get_d(r22120, MPFR_RNDN); } static mpfr_t r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22121, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22122, "2", 10, MPFR_RNDN); 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); mpfr_init(r22142); mpfr_init(r22143); mpfr_init(r22144); mpfr_init(r22145); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22123, r22121, r22122, MPFR_RNDN); mpfr_set_d(r22124, l, MPFR_RNDN); mpfr_mul(r22125, r22122, r22124, MPFR_RNDN); mpfr_set_d(r22126, Om, MPFR_RNDN); mpfr_div(r22127, r22125, r22126, MPFR_RNDN); mpfr_pow(r22128, r22127, r22122, MPFR_RNDN); mpfr_set_d(r22129, kx, MPFR_RNDN); mpfr_sin(r22130, r22129, MPFR_RNDN); mpfr_pow(r22131, r22130, r22122, MPFR_RNDN); mpfr_set_d(r22132, ky, MPFR_RNDN); mpfr_sin(r22133, r22132, MPFR_RNDN); mpfr_pow(r22134, r22133, r22122, MPFR_RNDN); mpfr_add(r22135, r22131, r22134, MPFR_RNDN); mpfr_mul(r22136, r22128, r22135, MPFR_RNDN); mpfr_add(r22137, r22121, r22136, MPFR_RNDN); mpfr_sqrt(r22138, r22137, MPFR_RNDN); mpfr_cbrt(r22139, r22138, MPFR_RNDN); mpfr_mul(r22140, r22139, r22139, MPFR_RNDN); mpfr_mul(r22141, r22140, r22139, MPFR_RNDN); mpfr_div(r22142, r22121, r22141, MPFR_RNDN); mpfr_add(r22143, r22121, r22142, MPFR_RNDN); mpfr_mul(r22144, r22123, r22143, MPFR_RNDN); mpfr_sqrt(r22145, r22144, MPFR_RNDN); return mpfr_get_d(r22145, MPFR_RNDN); } static mpfr_t r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22146, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22147, "2", 10, MPFR_RNDN); mpfr_init(r22148); mpfr_init(r22149); mpfr_init(r22150); mpfr_init(r22151); mpfr_init(r22152); mpfr_init(r22153); mpfr_init(r22154); mpfr_init(r22155); mpfr_init(r22156); mpfr_init(r22157); mpfr_init(r22158); mpfr_init(r22159); mpfr_init(r22160); mpfr_init(r22161); mpfr_init(r22162); mpfr_init(r22163); mpfr_init(r22164); mpfr_init(r22165); mpfr_init(r22166); mpfr_init(r22167); mpfr_init(r22168); mpfr_init(r22169); mpfr_init(r22170); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22148, r22146, r22147, MPFR_RNDN); mpfr_set_d(r22149, l, MPFR_RNDN); mpfr_mul(r22150, r22147, r22149, MPFR_RNDN); mpfr_set_d(r22151, Om, MPFR_RNDN); mpfr_div(r22152, r22150, r22151, MPFR_RNDN); mpfr_pow(r22153, r22152, r22147, MPFR_RNDN); mpfr_set_d(r22154, kx, MPFR_RNDN); mpfr_sin(r22155, r22154, MPFR_RNDN); mpfr_pow(r22156, r22155, r22147, MPFR_RNDN); mpfr_set_d(r22157, ky, MPFR_RNDN); mpfr_sin(r22158, r22157, MPFR_RNDN); mpfr_pow(r22159, r22158, r22147, MPFR_RNDN); mpfr_add(r22160, r22156, r22159, MPFR_RNDN); mpfr_mul(r22161, r22153, r22160, MPFR_RNDN); mpfr_add(r22162, r22146, r22161, MPFR_RNDN); mpfr_sqrt(r22163, r22162, MPFR_RNDN); mpfr_cbrt(r22164, r22163, MPFR_RNDN); mpfr_mul(r22165, r22164, r22164, MPFR_RNDN); mpfr_mul(r22166, r22165, r22164, MPFR_RNDN); mpfr_div(r22167, r22146, r22166, MPFR_RNDN); mpfr_add(r22168, r22146, r22167, MPFR_RNDN); mpfr_mul(r22169, r22148, r22168, MPFR_RNDN); mpfr_sqrt(r22170, r22169, MPFR_RNDN); return mpfr_get_d(r22170, MPFR_RNDN); }