#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22101 = 1; float r22102 = 2; float r22103 = r22101 / r22102; float r22104 = l; float r22105 = r22102 * r22104; float r22106 = Om; float r22107 = r22105 / r22106; float r22108 = pow(r22107, r22102); float r22109 = kx; float r22110 = sin(r22109); float r22111 = pow(r22110, r22102); float r22112 = ky; float r22113 = sin(r22112); float r22114 = pow(r22113, r22102); float r22115 = r22111 + r22114; float r22116 = r22108 * r22115; float r22117 = r22101 + r22116; float r22118 = sqrt(r22117); float r22119 = r22101 / r22118; float r22120 = r22101 + r22119; float r22121 = r22103 * r22120; float r22122 = sqrt(r22121); return r22122; } double f_id(double l, double Om, double kx, double ky) { double r22123 = 1; double r22124 = 2; double r22125 = r22123 / r22124; double r22126 = l; double r22127 = r22124 * r22126; double r22128 = Om; double r22129 = r22127 / r22128; double r22130 = pow(r22129, r22124); double r22131 = kx; double r22132 = sin(r22131); double r22133 = pow(r22132, r22124); double r22134 = ky; double r22135 = sin(r22134); double r22136 = pow(r22135, r22124); double r22137 = r22133 + r22136; double r22138 = r22130 * r22137; double r22139 = r22123 + r22138; double r22140 = sqrt(r22139); double r22141 = r22123 / r22140; double r22142 = r22123 + r22141; double r22143 = r22125 * r22142; double r22144 = sqrt(r22143); return r22144; } double f_of(float l, float Om, float kx, float ky) { float r22145 = 1; float r22146 = 2; float r22147 = r22145 / r22146; float r22148 = l; float r22149 = r22146 * r22148; float r22150 = Om; float r22151 = r22149 / r22150; float r22152 = pow(r22151, r22146); float r22153 = kx; float r22154 = sin(r22153); float r22155 = pow(r22154, r22146); float r22156 = ky; float r22157 = sin(r22156); float r22158 = pow(r22157, r22146); float r22159 = r22155 + r22158; float r22160 = r22152 * r22159; float r22161 = r22145 + r22160; float r22162 = sqrt(r22161); float r22163 = r22145 / r22162; float r22164 = r22145 + r22163; float r22165 = r22147 * r22164; float r22166 = sqrt(r22165); return r22166; } double f_od(double l, double Om, double kx, double ky) { double r22167 = 1; double r22168 = 2; double r22169 = r22167 / r22168; double r22170 = l; double r22171 = r22168 * r22170; double r22172 = Om; double r22173 = r22171 / r22172; double r22174 = pow(r22173, r22168); double r22175 = kx; double r22176 = sin(r22175); double r22177 = pow(r22176, r22168); double r22178 = ky; double r22179 = sin(r22178); double r22180 = pow(r22179, r22168); double r22181 = r22177 + r22180; double r22182 = r22174 * r22181; double r22183 = r22167 + r22182; double r22184 = sqrt(r22183); double r22185 = r22167 / r22184; double r22186 = r22167 + r22185; double r22187 = r22169 * r22186; double r22188 = sqrt(r22187); return r22188; } 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 r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22189, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22190, "2", 10, MPFR_RNDN); mpfr_init(r22191); mpfr_init(r22192); mpfr_init(r22193); mpfr_init(r22194); mpfr_init(r22195); 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); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22191, r22189, r22190, MPFR_RNDN); mpfr_set_d(r22192, l, MPFR_RNDN); mpfr_mul(r22193, r22190, r22192, MPFR_RNDN); mpfr_set_d(r22194, Om, MPFR_RNDN); mpfr_div(r22195, r22193, r22194, MPFR_RNDN); mpfr_pow(r22196, r22195, r22190, MPFR_RNDN); mpfr_set_d(r22197, kx, MPFR_RNDN); mpfr_sin(r22198, r22197, MPFR_RNDN); mpfr_pow(r22199, r22198, r22190, MPFR_RNDN); mpfr_set_d(r22200, ky, MPFR_RNDN); mpfr_sin(r22201, r22200, MPFR_RNDN); mpfr_pow(r22202, r22201, r22190, MPFR_RNDN); mpfr_add(r22203, r22199, r22202, MPFR_RNDN); mpfr_mul(r22204, r22196, r22203, MPFR_RNDN); mpfr_add(r22205, r22189, r22204, MPFR_RNDN); mpfr_sqrt(r22206, r22205, MPFR_RNDN); mpfr_div(r22207, r22189, r22206, MPFR_RNDN); mpfr_add(r22208, r22189, r22207, MPFR_RNDN); mpfr_mul(r22209, r22191, r22208, MPFR_RNDN); mpfr_sqrt(r22210, r22209, MPFR_RNDN); return mpfr_get_d(r22210, MPFR_RNDN); } static mpfr_t r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22211, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22212, "2", 10, MPFR_RNDN); 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(r22226); mpfr_init(r22227); mpfr_init(r22228); mpfr_init(r22229); mpfr_init(r22230); mpfr_init(r22231); mpfr_init(r22232); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22213, r22211, r22212, MPFR_RNDN); mpfr_set_d(r22214, l, MPFR_RNDN); mpfr_mul(r22215, r22212, r22214, MPFR_RNDN); mpfr_set_d(r22216, Om, MPFR_RNDN); mpfr_div(r22217, r22215, r22216, MPFR_RNDN); mpfr_pow(r22218, r22217, r22212, MPFR_RNDN); mpfr_set_d(r22219, kx, MPFR_RNDN); mpfr_sin(r22220, r22219, MPFR_RNDN); mpfr_pow(r22221, r22220, r22212, MPFR_RNDN); mpfr_set_d(r22222, ky, MPFR_RNDN); mpfr_sin(r22223, r22222, MPFR_RNDN); mpfr_pow(r22224, r22223, r22212, MPFR_RNDN); mpfr_add(r22225, r22221, r22224, MPFR_RNDN); mpfr_mul(r22226, r22218, r22225, MPFR_RNDN); mpfr_add(r22227, r22211, r22226, MPFR_RNDN); mpfr_sqrt(r22228, r22227, MPFR_RNDN); mpfr_div(r22229, r22211, r22228, MPFR_RNDN); mpfr_add(r22230, r22211, r22229, MPFR_RNDN); mpfr_mul(r22231, r22213, r22230, MPFR_RNDN); mpfr_sqrt(r22232, r22231, MPFR_RNDN); return mpfr_get_d(r22232, MPFR_RNDN); } static mpfr_t r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22233, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22234, "2", 10, MPFR_RNDN); mpfr_init(r22235); mpfr_init(r22236); mpfr_init(r22237); mpfr_init(r22238); mpfr_init(r22239); mpfr_init(r22240); mpfr_init(r22241); mpfr_init(r22242); mpfr_init(r22243); mpfr_init(r22244); mpfr_init(r22245); mpfr_init(r22246); mpfr_init(r22247); mpfr_init(r22248); mpfr_init(r22249); mpfr_init(r22250); mpfr_init(r22251); mpfr_init(r22252); mpfr_init(r22253); mpfr_init(r22254); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22235, r22233, r22234, MPFR_RNDN); mpfr_set_d(r22236, l, MPFR_RNDN); mpfr_mul(r22237, r22234, r22236, MPFR_RNDN); mpfr_set_d(r22238, Om, MPFR_RNDN); mpfr_div(r22239, r22237, r22238, MPFR_RNDN); mpfr_pow(r22240, r22239, r22234, MPFR_RNDN); mpfr_set_d(r22241, kx, MPFR_RNDN); mpfr_sin(r22242, r22241, MPFR_RNDN); mpfr_pow(r22243, r22242, r22234, MPFR_RNDN); mpfr_set_d(r22244, ky, MPFR_RNDN); mpfr_sin(r22245, r22244, MPFR_RNDN); mpfr_pow(r22246, r22245, r22234, MPFR_RNDN); mpfr_add(r22247, r22243, r22246, MPFR_RNDN); mpfr_mul(r22248, r22240, r22247, MPFR_RNDN); mpfr_add(r22249, r22233, r22248, MPFR_RNDN); mpfr_sqrt(r22250, r22249, MPFR_RNDN); mpfr_div(r22251, r22233, r22250, MPFR_RNDN); mpfr_add(r22252, r22233, r22251, MPFR_RNDN); mpfr_mul(r22253, r22235, r22252, MPFR_RNDN); mpfr_sqrt(r22254, r22253, MPFR_RNDN); return mpfr_get_d(r22254, MPFR_RNDN); }