#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22053 = 1; float r22054 = 2; float r22055 = r22053 / r22054; float r22056 = l; float r22057 = r22054 * r22056; float r22058 = Om; float r22059 = r22057 / r22058; float r22060 = pow(r22059, r22054); float r22061 = kx; float r22062 = sin(r22061); float r22063 = pow(r22062, r22054); float r22064 = ky; float r22065 = sin(r22064); float r22066 = pow(r22065, r22054); float r22067 = r22063 + r22066; float r22068 = r22060 * r22067; float r22069 = r22053 + r22068; float r22070 = sqrt(r22069); float r22071 = r22053 / r22070; float r22072 = r22053 + r22071; float r22073 = r22055 * r22072; float r22074 = sqrt(r22073); return r22074; } double f_id(double l, double Om, double kx, double ky) { double r22075 = 1; double r22076 = 2; double r22077 = r22075 / r22076; double r22078 = l; double r22079 = r22076 * r22078; double r22080 = Om; double r22081 = r22079 / r22080; double r22082 = pow(r22081, r22076); double r22083 = kx; double r22084 = sin(r22083); double r22085 = pow(r22084, r22076); double r22086 = ky; double r22087 = sin(r22086); double r22088 = pow(r22087, r22076); double r22089 = r22085 + r22088; double r22090 = r22082 * r22089; double r22091 = r22075 + r22090; double r22092 = sqrt(r22091); double r22093 = r22075 / r22092; double r22094 = r22075 + r22093; double r22095 = r22077 * r22094; double r22096 = sqrt(r22095); return r22096; } double f_of(float l, float Om, float kx, float ky) { float r22097 = 1; float r22098 = 2; float r22099 = l; float r22100 = r22098 * r22099; float r22101 = Om; float r22102 = r22100 / r22101; float r22103 = pow(r22102, r22098); float r22104 = kx; float r22105 = sin(r22104); float r22106 = pow(r22105, r22098); float r22107 = ky; float r22108 = sin(r22107); float r22109 = pow(r22108, r22098); float r22110 = r22106 + r22109; float r22111 = r22103 * r22110; float r22112 = r22097 + r22111; float r22113 = sqrt(r22112); float r22114 = 1307616741319393.0; bool r22115 = r22113 <= r22114; float r22116 = r22097 / r22098; float r22117 = r22102 * r22110; float r22118 = r22102 * r22117; float r22119 = r22097 + r22118; float r22120 = sqrt(r22119); float r22121 = r22097 / r22120; float r22122 = r22097 + r22121; float r22123 = r22116 * r22122; float r22124 = sqrt(r22123); float r22125 = sqrt(r22116); float r22126 = r22115 ? r22124 : r22125; return r22126; } double f_od(double l, double Om, double kx, double ky) { double r22127 = 1; double r22128 = 2; double r22129 = l; double r22130 = r22128 * r22129; double r22131 = Om; double r22132 = r22130 / r22131; double r22133 = pow(r22132, r22128); double r22134 = kx; double r22135 = sin(r22134); double r22136 = pow(r22135, r22128); double r22137 = ky; double r22138 = sin(r22137); double r22139 = pow(r22138, r22128); double r22140 = r22136 + r22139; double r22141 = r22133 * r22140; double r22142 = r22127 + r22141; double r22143 = sqrt(r22142); double r22144 = 1307616741319393.0; bool r22145 = r22143 <= r22144; double r22146 = r22127 / r22128; double r22147 = r22132 * r22140; double r22148 = r22132 * r22147; double r22149 = r22127 + r22148; double r22150 = sqrt(r22149); double r22151 = r22127 / r22150; double r22152 = r22127 + r22151; double r22153 = r22146 * r22152; double r22154 = sqrt(r22153); double r22155 = sqrt(r22146); double r22156 = r22145 ? r22154 : r22155; return r22156; } 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 r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22157, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22158, "2", 10, MPFR_RNDN); 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); mpfr_init(r22171); mpfr_init(r22172); mpfr_init(r22173); mpfr_init(r22174); mpfr_init(r22175); mpfr_init(r22176); mpfr_init(r22177); mpfr_init(r22178); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22159, r22157, r22158, MPFR_RNDN); mpfr_set_d(r22160, l, MPFR_RNDN); mpfr_mul(r22161, r22158, r22160, MPFR_RNDN); mpfr_set_d(r22162, Om, MPFR_RNDN); mpfr_div(r22163, r22161, r22162, MPFR_RNDN); mpfr_pow(r22164, r22163, r22158, MPFR_RNDN); mpfr_set_d(r22165, kx, MPFR_RNDN); mpfr_sin(r22166, r22165, MPFR_RNDN); mpfr_pow(r22167, r22166, r22158, MPFR_RNDN); mpfr_set_d(r22168, ky, MPFR_RNDN); mpfr_sin(r22169, r22168, MPFR_RNDN); mpfr_pow(r22170, r22169, r22158, MPFR_RNDN); mpfr_add(r22171, r22167, r22170, MPFR_RNDN); mpfr_mul(r22172, r22164, r22171, MPFR_RNDN); mpfr_add(r22173, r22157, r22172, MPFR_RNDN); mpfr_sqrt(r22174, r22173, MPFR_RNDN); mpfr_div(r22175, r22157, r22174, MPFR_RNDN); mpfr_add(r22176, r22157, r22175, MPFR_RNDN); mpfr_mul(r22177, r22159, r22176, MPFR_RNDN); mpfr_sqrt(r22178, r22177, MPFR_RNDN); return mpfr_get_d(r22178, MPFR_RNDN); } static mpfr_t r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22179, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22180, "2", 10, MPFR_RNDN); mpfr_init(r22181); mpfr_init(r22182); mpfr_init(r22183); mpfr_init(r22184); mpfr_init(r22185); 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_set_str(r22196, "1307616741319393.0", 10, MPFR_RNDN); mpfr_init(r22197); mpfr_init(r22198); mpfr_init(r22199); 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); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22181, l, MPFR_RNDN); mpfr_mul(r22182, r22180, r22181, MPFR_RNDN); mpfr_set_d(r22183, Om, MPFR_RNDN); mpfr_div(r22184, r22182, r22183, MPFR_RNDN); mpfr_pow(r22185, r22184, r22180, MPFR_RNDN); mpfr_set_d(r22186, kx, MPFR_RNDN); mpfr_sin(r22187, r22186, MPFR_RNDN); mpfr_pow(r22188, r22187, r22180, MPFR_RNDN); mpfr_set_d(r22189, ky, MPFR_RNDN); mpfr_sin(r22190, r22189, MPFR_RNDN); mpfr_pow(r22191, r22190, r22180, MPFR_RNDN); mpfr_add(r22192, r22188, r22191, MPFR_RNDN); mpfr_mul(r22193, r22185, r22192, MPFR_RNDN); mpfr_add(r22194, r22179, r22193, MPFR_RNDN); mpfr_sqrt(r22195, r22194, MPFR_RNDN); ; mpfr_set_si(r22197, mpfr_cmp(r22195, r22196) <= 0, MPFR_RNDN); mpfr_div(r22198, r22179, r22180, MPFR_RNDN); mpfr_mul(r22199, r22184, r22192, MPFR_RNDN); mpfr_mul(r22200, r22184, r22199, MPFR_RNDN); mpfr_add(r22201, r22179, r22200, MPFR_RNDN); mpfr_sqrt(r22202, r22201, MPFR_RNDN); mpfr_div(r22203, r22179, r22202, MPFR_RNDN); mpfr_add(r22204, r22179, r22203, MPFR_RNDN); mpfr_mul(r22205, r22198, r22204, MPFR_RNDN); mpfr_sqrt(r22206, r22205, MPFR_RNDN); mpfr_sqrt(r22207, r22198, MPFR_RNDN); if (mpfr_get_si(r22197, MPFR_RNDN)) { mpfr_set(r22208, r22206, MPFR_RNDN); } else { mpfr_set(r22208, r22207, MPFR_RNDN); }; return mpfr_get_d(r22208, MPFR_RNDN); } static mpfr_t r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22209, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22210, "2", 10, MPFR_RNDN); mpfr_init(r22211); mpfr_init(r22212); mpfr_init(r22213); mpfr_init(r22214); mpfr_init(r22215); 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_set_str(r22226, "1307616741319393.0", 10, MPFR_RNDN); mpfr_init(r22227); mpfr_init(r22228); mpfr_init(r22229); mpfr_init(r22230); mpfr_init(r22231); mpfr_init(r22232); mpfr_init(r22233); mpfr_init(r22234); mpfr_init(r22235); mpfr_init(r22236); mpfr_init(r22237); mpfr_init(r22238); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22211, l, MPFR_RNDN); mpfr_mul(r22212, r22210, r22211, MPFR_RNDN); mpfr_set_d(r22213, Om, MPFR_RNDN); mpfr_div(r22214, r22212, r22213, MPFR_RNDN); mpfr_pow(r22215, r22214, r22210, MPFR_RNDN); mpfr_set_d(r22216, kx, MPFR_RNDN); mpfr_sin(r22217, r22216, MPFR_RNDN); mpfr_pow(r22218, r22217, r22210, MPFR_RNDN); mpfr_set_d(r22219, ky, MPFR_RNDN); mpfr_sin(r22220, r22219, MPFR_RNDN); mpfr_pow(r22221, r22220, r22210, MPFR_RNDN); mpfr_add(r22222, r22218, r22221, MPFR_RNDN); mpfr_mul(r22223, r22215, r22222, MPFR_RNDN); mpfr_add(r22224, r22209, r22223, MPFR_RNDN); mpfr_sqrt(r22225, r22224, MPFR_RNDN); ; mpfr_set_si(r22227, mpfr_cmp(r22225, r22226) <= 0, MPFR_RNDN); mpfr_div(r22228, r22209, r22210, MPFR_RNDN); mpfr_mul(r22229, r22214, r22222, MPFR_RNDN); mpfr_mul(r22230, r22214, r22229, MPFR_RNDN); mpfr_add(r22231, r22209, r22230, MPFR_RNDN); mpfr_sqrt(r22232, r22231, MPFR_RNDN); mpfr_div(r22233, r22209, r22232, MPFR_RNDN); mpfr_add(r22234, r22209, r22233, MPFR_RNDN); mpfr_mul(r22235, r22228, r22234, MPFR_RNDN); mpfr_sqrt(r22236, r22235, MPFR_RNDN); mpfr_sqrt(r22237, r22228, MPFR_RNDN); if (mpfr_get_si(r22227, MPFR_RNDN)) { mpfr_set(r22238, r22236, MPFR_RNDN); } else { mpfr_set(r22238, r22237, MPFR_RNDN); }; return mpfr_get_d(r22238, MPFR_RNDN); }