#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22084 = 1; float r22085 = 2; float r22086 = r22084 / r22085; float r22087 = l; float r22088 = r22085 * r22087; float r22089 = Om; float r22090 = r22088 / r22089; float r22091 = pow(r22090, r22085); float r22092 = kx; float r22093 = sin(r22092); float r22094 = pow(r22093, r22085); float r22095 = ky; float r22096 = sin(r22095); float r22097 = pow(r22096, r22085); float r22098 = r22094 + r22097; float r22099 = r22091 * r22098; float r22100 = r22084 + r22099; float r22101 = sqrt(r22100); float r22102 = r22084 / r22101; float r22103 = r22084 + r22102; float r22104 = r22086 * r22103; float r22105 = sqrt(r22104); return r22105; } double f_id(double l, double Om, double kx, double ky) { double r22106 = 1; double r22107 = 2; double r22108 = r22106 / r22107; double r22109 = l; double r22110 = r22107 * r22109; double r22111 = Om; double r22112 = r22110 / r22111; double r22113 = pow(r22112, r22107); double r22114 = kx; double r22115 = sin(r22114); double r22116 = pow(r22115, r22107); double r22117 = ky; double r22118 = sin(r22117); double r22119 = pow(r22118, r22107); double r22120 = r22116 + r22119; double r22121 = r22113 * r22120; double r22122 = r22106 + r22121; double r22123 = sqrt(r22122); double r22124 = r22106 / r22123; double r22125 = r22106 + r22124; double r22126 = r22108 * r22125; double r22127 = sqrt(r22126); return r22127; } double f_of(float l, float Om, float kx, float ky) { float r22128 = 1; float r22129 = 2; float r22130 = r22128 / r22129; float r22131 = l; float r22132 = r22129 * r22131; float r22133 = Om; float r22134 = r22132 / r22133; float r22135 = kx; float r22136 = sin(r22135); float r22137 = pow(r22136, r22129); float r22138 = ky; float r22139 = sin(r22138); float r22140 = pow(r22139, r22129); float r22141 = r22137 + r22140; float r22142 = r22134 * r22141; float r22143 = r22134 * r22142; float r22144 = r22128 + r22143; float r22145 = sqrt(r22144); float r22146 = r22128 / r22145; float r22147 = r22128 + r22146; float r22148 = r22130 * r22147; float r22149 = sqrt(r22148); return r22149; } double f_od(double l, double Om, double kx, double ky) { double r22150 = 1; double r22151 = 2; double r22152 = r22150 / r22151; double r22153 = l; double r22154 = r22151 * r22153; double r22155 = Om; double r22156 = r22154 / r22155; double r22157 = kx; double r22158 = sin(r22157); double r22159 = pow(r22158, r22151); double r22160 = ky; double r22161 = sin(r22160); double r22162 = pow(r22161, r22151); double r22163 = r22159 + r22162; double r22164 = r22156 * r22163; double r22165 = r22156 * r22164; double r22166 = r22150 + r22165; double r22167 = sqrt(r22166); double r22168 = r22150 / r22167; double r22169 = r22150 + r22168; double r22170 = r22152 * r22169; double r22171 = sqrt(r22170); return r22171; } 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 r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22172, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22173, "2", 10, MPFR_RNDN); 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(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); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22174, r22172, r22173, MPFR_RNDN); mpfr_set_d(r22175, l, MPFR_RNDN); mpfr_mul(r22176, r22173, r22175, MPFR_RNDN); mpfr_set_d(r22177, Om, MPFR_RNDN); mpfr_div(r22178, r22176, r22177, MPFR_RNDN); mpfr_pow(r22179, r22178, r22173, MPFR_RNDN); mpfr_set_d(r22180, kx, MPFR_RNDN); mpfr_sin(r22181, r22180, MPFR_RNDN); mpfr_pow(r22182, r22181, r22173, MPFR_RNDN); mpfr_set_d(r22183, ky, MPFR_RNDN); mpfr_sin(r22184, r22183, MPFR_RNDN); mpfr_pow(r22185, r22184, r22173, MPFR_RNDN); mpfr_add(r22186, r22182, r22185, MPFR_RNDN); mpfr_mul(r22187, r22179, r22186, MPFR_RNDN); mpfr_add(r22188, r22172, r22187, MPFR_RNDN); mpfr_sqrt(r22189, r22188, MPFR_RNDN); mpfr_div(r22190, r22172, r22189, MPFR_RNDN); mpfr_add(r22191, r22172, r22190, MPFR_RNDN); mpfr_mul(r22192, r22174, r22191, MPFR_RNDN); mpfr_sqrt(r22193, r22192, MPFR_RNDN); return mpfr_get_d(r22193, MPFR_RNDN); } static mpfr_t r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22194, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22195, "2", 10, MPFR_RNDN); mpfr_init(r22196); 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); mpfr_init(r22209); mpfr_init(r22210); mpfr_init(r22211); mpfr_init(r22212); mpfr_init(r22213); mpfr_init(r22214); mpfr_init(r22215); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22196, r22194, r22195, MPFR_RNDN); mpfr_set_d(r22197, l, MPFR_RNDN); mpfr_mul(r22198, r22195, r22197, MPFR_RNDN); mpfr_set_d(r22199, Om, MPFR_RNDN); mpfr_div(r22200, r22198, r22199, MPFR_RNDN); mpfr_set_d(r22201, kx, MPFR_RNDN); mpfr_sin(r22202, r22201, MPFR_RNDN); mpfr_pow(r22203, r22202, r22195, MPFR_RNDN); mpfr_set_d(r22204, ky, MPFR_RNDN); mpfr_sin(r22205, r22204, MPFR_RNDN); mpfr_pow(r22206, r22205, r22195, MPFR_RNDN); mpfr_add(r22207, r22203, r22206, MPFR_RNDN); mpfr_mul(r22208, r22200, r22207, MPFR_RNDN); mpfr_mul(r22209, r22200, r22208, MPFR_RNDN); mpfr_add(r22210, r22194, r22209, MPFR_RNDN); mpfr_sqrt(r22211, r22210, MPFR_RNDN); mpfr_div(r22212, r22194, r22211, MPFR_RNDN); mpfr_add(r22213, r22194, r22212, MPFR_RNDN); mpfr_mul(r22214, r22196, r22213, MPFR_RNDN); mpfr_sqrt(r22215, r22214, MPFR_RNDN); return mpfr_get_d(r22215, MPFR_RNDN); } static mpfr_t r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22216, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22217, "2", 10, MPFR_RNDN); 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); 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); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22218, r22216, r22217, MPFR_RNDN); mpfr_set_d(r22219, l, MPFR_RNDN); mpfr_mul(r22220, r22217, r22219, MPFR_RNDN); mpfr_set_d(r22221, Om, MPFR_RNDN); mpfr_div(r22222, r22220, r22221, MPFR_RNDN); mpfr_set_d(r22223, kx, MPFR_RNDN); mpfr_sin(r22224, r22223, MPFR_RNDN); mpfr_pow(r22225, r22224, r22217, MPFR_RNDN); mpfr_set_d(r22226, ky, MPFR_RNDN); mpfr_sin(r22227, r22226, MPFR_RNDN); mpfr_pow(r22228, r22227, r22217, MPFR_RNDN); mpfr_add(r22229, r22225, r22228, MPFR_RNDN); mpfr_mul(r22230, r22222, r22229, MPFR_RNDN); mpfr_mul(r22231, r22222, r22230, MPFR_RNDN); mpfr_add(r22232, r22216, r22231, MPFR_RNDN); mpfr_sqrt(r22233, r22232, MPFR_RNDN); mpfr_div(r22234, r22216, r22233, MPFR_RNDN); mpfr_add(r22235, r22216, r22234, MPFR_RNDN); mpfr_mul(r22236, r22218, r22235, MPFR_RNDN); mpfr_sqrt(r22237, r22236, MPFR_RNDN); return mpfr_get_d(r22237, MPFR_RNDN); }