#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22042 = 1; float r22043 = 2; float r22044 = r22042 / r22043; float r22045 = l; float r22046 = r22043 * r22045; float r22047 = Om; float r22048 = r22046 / r22047; float r22049 = pow(r22048, r22043); float r22050 = kx; float r22051 = sin(r22050); float r22052 = pow(r22051, r22043); float r22053 = ky; float r22054 = sin(r22053); float r22055 = pow(r22054, r22043); float r22056 = r22052 + r22055; float r22057 = r22049 * r22056; float r22058 = r22042 + r22057; float r22059 = sqrt(r22058); float r22060 = r22042 / r22059; float r22061 = r22042 + r22060; float r22062 = r22044 * r22061; float r22063 = sqrt(r22062); return r22063; } double f_id(double l, double Om, double kx, double ky) { double r22064 = 1; double r22065 = 2; double r22066 = r22064 / r22065; double r22067 = l; double r22068 = r22065 * r22067; double r22069 = Om; double r22070 = r22068 / r22069; double r22071 = pow(r22070, r22065); double r22072 = kx; double r22073 = sin(r22072); double r22074 = pow(r22073, r22065); double r22075 = ky; double r22076 = sin(r22075); double r22077 = pow(r22076, r22065); double r22078 = r22074 + r22077; double r22079 = r22071 * r22078; double r22080 = r22064 + r22079; double r22081 = sqrt(r22080); double r22082 = r22064 / r22081; double r22083 = r22064 + r22082; double r22084 = r22066 * r22083; double r22085 = sqrt(r22084); return r22085; } double f_of(float l, float Om, float kx, float ky) { float r22086 = 1; float r22087 = 2; float r22088 = l; float r22089 = r22087 * r22088; float r22090 = Om; float r22091 = r22089 / r22090; float r22092 = pow(r22091, r22087); float r22093 = kx; float r22094 = sin(r22093); float r22095 = pow(r22094, r22087); float r22096 = ky; float r22097 = sin(r22096); float r22098 = pow(r22097, r22087); float r22099 = r22095 + r22098; float r22100 = r22092 * r22099; float r22101 = r22086 + r22100; float r22102 = sqrt(r22101); float r22103 = 1307616741319393.0; bool r22104 = r22102 <= r22103; float r22105 = r22086 / r22087; float r22106 = r22091 * r22099; float r22107 = r22091 * r22106; float r22108 = r22086 + r22107; float r22109 = sqrt(r22108); float r22110 = r22086 / r22109; float r22111 = r22086 + r22110; float r22112 = r22105 * r22111; float r22113 = sqrt(r22112); float r22114 = sqrt(r22105); float r22115 = r22104 ? r22113 : r22114; return r22115; } double f_od(double l, double Om, double kx, double ky) { double r22116 = 1; double r22117 = 2; double r22118 = l; double r22119 = r22117 * r22118; double r22120 = Om; double r22121 = r22119 / r22120; double r22122 = pow(r22121, r22117); double r22123 = kx; double r22124 = sin(r22123); double r22125 = pow(r22124, r22117); double r22126 = ky; double r22127 = sin(r22126); double r22128 = pow(r22127, r22117); double r22129 = r22125 + r22128; double r22130 = r22122 * r22129; double r22131 = r22116 + r22130; double r22132 = sqrt(r22131); double r22133 = 1307616741319393.0; bool r22134 = r22132 <= r22133; double r22135 = r22116 / r22117; double r22136 = r22121 * r22129; double r22137 = r22121 * r22136; double r22138 = r22116 + r22137; double r22139 = sqrt(r22138); double r22140 = r22116 / r22139; double r22141 = r22116 + r22140; double r22142 = r22135 * r22141; double r22143 = sqrt(r22142); double r22144 = sqrt(r22135); double r22145 = r22134 ? r22143 : r22144; return r22145; } 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 r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167; void setup_mpfr_f_im() { mpfr_set_default_prec(272); 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); } double f_im(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_div(r22164, r22146, r22163, MPFR_RNDN); mpfr_add(r22165, r22146, r22164, MPFR_RNDN); mpfr_mul(r22166, r22148, r22165, MPFR_RNDN); mpfr_sqrt(r22167, r22166, MPFR_RNDN); return mpfr_get_d(r22167, MPFR_RNDN); } static mpfr_t r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197; void setup_mpfr_f_fm() { mpfr_set_default_prec(272); mpfr_init_set_str(r22168, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22169, "2", 10, MPFR_RNDN); mpfr_init(r22170); mpfr_init(r22171); mpfr_init(r22172); mpfr_init(r22173); mpfr_init(r22174); mpfr_init(r22175); mpfr_init(r22176); mpfr_init(r22177); mpfr_init(r22178); mpfr_init(r22179); mpfr_init(r22180); mpfr_init(r22181); mpfr_init(r22182); mpfr_init(r22183); mpfr_init(r22184); mpfr_init_set_str(r22185, "1307616741319393.0", 10, MPFR_RNDN); mpfr_init(r22186); mpfr_init(r22187); mpfr_init(r22188); mpfr_init(r22189); mpfr_init(r22190); mpfr_init(r22191); mpfr_init(r22192); mpfr_init(r22193); mpfr_init(r22194); mpfr_init(r22195); mpfr_init(r22196); mpfr_init(r22197); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22170, l, MPFR_RNDN); mpfr_mul(r22171, r22169, r22170, MPFR_RNDN); mpfr_set_d(r22172, Om, MPFR_RNDN); mpfr_div(r22173, r22171, r22172, MPFR_RNDN); mpfr_pow(r22174, r22173, r22169, MPFR_RNDN); mpfr_set_d(r22175, kx, MPFR_RNDN); mpfr_sin(r22176, r22175, MPFR_RNDN); mpfr_pow(r22177, r22176, r22169, MPFR_RNDN); mpfr_set_d(r22178, ky, MPFR_RNDN); mpfr_sin(r22179, r22178, MPFR_RNDN); mpfr_pow(r22180, r22179, r22169, MPFR_RNDN); mpfr_add(r22181, r22177, r22180, MPFR_RNDN); mpfr_mul(r22182, r22174, r22181, MPFR_RNDN); mpfr_add(r22183, r22168, r22182, MPFR_RNDN); mpfr_sqrt(r22184, r22183, MPFR_RNDN); ; mpfr_set_si(r22186, mpfr_cmp(r22184, r22185) <= 0, MPFR_RNDN); mpfr_div(r22187, r22168, r22169, MPFR_RNDN); mpfr_mul(r22188, r22173, r22181, MPFR_RNDN); mpfr_mul(r22189, r22173, r22188, MPFR_RNDN); mpfr_add(r22190, r22168, r22189, MPFR_RNDN); mpfr_sqrt(r22191, r22190, MPFR_RNDN); mpfr_div(r22192, r22168, r22191, MPFR_RNDN); mpfr_add(r22193, r22168, r22192, MPFR_RNDN); mpfr_mul(r22194, r22187, r22193, MPFR_RNDN); mpfr_sqrt(r22195, r22194, MPFR_RNDN); mpfr_sqrt(r22196, r22187, MPFR_RNDN); if (mpfr_get_si(r22186, MPFR_RNDN)) { mpfr_set(r22197, r22195, MPFR_RNDN); } else { mpfr_set(r22197, r22196, MPFR_RNDN); }; return mpfr_get_d(r22197, MPFR_RNDN); } static mpfr_t r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227; void setup_mpfr_f_dm() { mpfr_set_default_prec(272); mpfr_init_set_str(r22198, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22199, "2", 10, MPFR_RNDN); mpfr_init(r22200); mpfr_init(r22201); mpfr_init(r22202); mpfr_init(r22203); mpfr_init(r22204); mpfr_init(r22205); mpfr_init(r22206); mpfr_init(r22207); mpfr_init(r22208); mpfr_init(r22209); mpfr_init(r22210); mpfr_init(r22211); mpfr_init(r22212); mpfr_init(r22213); mpfr_init(r22214); mpfr_init_set_str(r22215, "1307616741319393.0", 10, MPFR_RNDN); mpfr_init(r22216); mpfr_init(r22217); mpfr_init(r22218); mpfr_init(r22219); mpfr_init(r22220); mpfr_init(r22221); mpfr_init(r22222); mpfr_init(r22223); mpfr_init(r22224); mpfr_init(r22225); mpfr_init(r22226); mpfr_init(r22227); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22200, l, MPFR_RNDN); mpfr_mul(r22201, r22199, r22200, MPFR_RNDN); mpfr_set_d(r22202, Om, MPFR_RNDN); mpfr_div(r22203, r22201, r22202, MPFR_RNDN); mpfr_pow(r22204, r22203, r22199, MPFR_RNDN); mpfr_set_d(r22205, kx, MPFR_RNDN); mpfr_sin(r22206, r22205, MPFR_RNDN); mpfr_pow(r22207, r22206, r22199, MPFR_RNDN); mpfr_set_d(r22208, ky, MPFR_RNDN); mpfr_sin(r22209, r22208, MPFR_RNDN); mpfr_pow(r22210, r22209, r22199, MPFR_RNDN); mpfr_add(r22211, r22207, r22210, MPFR_RNDN); mpfr_mul(r22212, r22204, r22211, MPFR_RNDN); mpfr_add(r22213, r22198, r22212, MPFR_RNDN); mpfr_sqrt(r22214, r22213, MPFR_RNDN); ; mpfr_set_si(r22216, mpfr_cmp(r22214, r22215) <= 0, MPFR_RNDN); mpfr_div(r22217, r22198, r22199, MPFR_RNDN); mpfr_mul(r22218, r22203, r22211, MPFR_RNDN); mpfr_mul(r22219, r22203, r22218, MPFR_RNDN); mpfr_add(r22220, r22198, r22219, MPFR_RNDN); mpfr_sqrt(r22221, r22220, MPFR_RNDN); mpfr_div(r22222, r22198, r22221, MPFR_RNDN); mpfr_add(r22223, r22198, r22222, MPFR_RNDN); mpfr_mul(r22224, r22217, r22223, MPFR_RNDN); mpfr_sqrt(r22225, r22224, MPFR_RNDN); mpfr_sqrt(r22226, r22217, MPFR_RNDN); if (mpfr_get_si(r22216, MPFR_RNDN)) { mpfr_set(r22227, r22225, MPFR_RNDN); } else { mpfr_set(r22227, r22226, MPFR_RNDN); }; return mpfr_get_d(r22227, MPFR_RNDN); }