#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22141 = 1; float r22142 = 2; float r22143 = r22141 / r22142; float r22144 = l; float r22145 = r22142 * r22144; float r22146 = Om; float r22147 = r22145 / r22146; float r22148 = pow(r22147, r22142); float r22149 = kx; float r22150 = sin(r22149); float r22151 = pow(r22150, r22142); float r22152 = ky; float r22153 = sin(r22152); float r22154 = pow(r22153, r22142); float r22155 = r22151 + r22154; float r22156 = r22148 * r22155; float r22157 = r22141 + r22156; float r22158 = sqrt(r22157); float r22159 = r22141 / r22158; float r22160 = r22141 + r22159; float r22161 = r22143 * r22160; float r22162 = sqrt(r22161); return r22162; } double f_id(double l, double Om, double kx, double ky) { double r22163 = 1; double r22164 = 2; double r22165 = r22163 / r22164; double r22166 = l; double r22167 = r22164 * r22166; double r22168 = Om; double r22169 = r22167 / r22168; double r22170 = pow(r22169, r22164); double r22171 = kx; double r22172 = sin(r22171); double r22173 = pow(r22172, r22164); double r22174 = ky; double r22175 = sin(r22174); double r22176 = pow(r22175, r22164); double r22177 = r22173 + r22176; double r22178 = r22170 * r22177; double r22179 = r22163 + r22178; double r22180 = sqrt(r22179); double r22181 = r22163 / r22180; double r22182 = r22163 + r22181; double r22183 = r22165 * r22182; double r22184 = sqrt(r22183); return r22184; } double f_of(float l, float Om, float kx, float ky) { float r22185 = 1; float r22186 = 2; float r22187 = r22185 / r22186; float r22188 = l; float r22189 = r22186 * r22188; float r22190 = Om; float r22191 = r22189 / r22190; float r22192 = kx; float r22193 = sin(r22192); float r22194 = pow(r22193, r22186); float r22195 = ky; float r22196 = sin(r22195); float r22197 = pow(r22196, r22186); float r22198 = r22194 + r22197; float r22199 = r22191 * r22198; float r22200 = r22191 * r22199; float r22201 = r22185 + r22200; float r22202 = sqrt(r22201); float r22203 = r22185 / r22202; float r22204 = r22185 + r22203; float r22205 = r22187 * r22204; float r22206 = sqrt(r22205); return r22206; } double f_od(double l, double Om, double kx, double ky) { double r22207 = 1; double r22208 = 2; double r22209 = r22207 / r22208; double r22210 = l; double r22211 = r22208 * r22210; double r22212 = Om; double r22213 = r22211 / r22212; double r22214 = kx; double r22215 = sin(r22214); double r22216 = pow(r22215, r22208); double r22217 = ky; double r22218 = sin(r22217); double r22219 = pow(r22218, r22208); double r22220 = r22216 + r22219; double r22221 = r22213 * r22220; double r22222 = r22213 * r22221; double r22223 = r22207 + r22222; double r22224 = sqrt(r22223); double r22225 = r22207 / r22224; double r22226 = r22207 + r22225; double r22227 = r22209 * r22226; double r22228 = sqrt(r22227); return r22228; } 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 r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22229, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22230, "2", 10, MPFR_RNDN); mpfr_init(r22231); mpfr_init(r22232); mpfr_init(r22233); mpfr_init(r22234); 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); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22231, r22229, r22230, MPFR_RNDN); mpfr_set_d(r22232, l, MPFR_RNDN); mpfr_mul(r22233, r22230, r22232, MPFR_RNDN); mpfr_set_d(r22234, Om, MPFR_RNDN); mpfr_div(r22235, r22233, r22234, MPFR_RNDN); mpfr_pow(r22236, r22235, r22230, MPFR_RNDN); mpfr_set_d(r22237, kx, MPFR_RNDN); mpfr_sin(r22238, r22237, MPFR_RNDN); mpfr_pow(r22239, r22238, r22230, MPFR_RNDN); mpfr_set_d(r22240, ky, MPFR_RNDN); mpfr_sin(r22241, r22240, MPFR_RNDN); mpfr_pow(r22242, r22241, r22230, MPFR_RNDN); mpfr_add(r22243, r22239, r22242, MPFR_RNDN); mpfr_mul(r22244, r22236, r22243, MPFR_RNDN); mpfr_add(r22245, r22229, r22244, MPFR_RNDN); mpfr_sqrt(r22246, r22245, MPFR_RNDN); mpfr_div(r22247, r22229, r22246, MPFR_RNDN); mpfr_add(r22248, r22229, r22247, MPFR_RNDN); mpfr_mul(r22249, r22231, r22248, MPFR_RNDN); mpfr_sqrt(r22250, r22249, MPFR_RNDN); return mpfr_get_d(r22250, MPFR_RNDN); } static mpfr_t r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22251, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22252, "2", 10, MPFR_RNDN); mpfr_init(r22253); mpfr_init(r22254); mpfr_init(r22255); mpfr_init(r22256); mpfr_init(r22257); mpfr_init(r22258); mpfr_init(r22259); mpfr_init(r22260); mpfr_init(r22261); mpfr_init(r22262); mpfr_init(r22263); mpfr_init(r22264); mpfr_init(r22265); mpfr_init(r22266); mpfr_init(r22267); mpfr_init(r22268); mpfr_init(r22269); mpfr_init(r22270); mpfr_init(r22271); mpfr_init(r22272); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22253, r22251, r22252, MPFR_RNDN); mpfr_set_d(r22254, l, MPFR_RNDN); mpfr_mul(r22255, r22252, r22254, MPFR_RNDN); mpfr_set_d(r22256, Om, MPFR_RNDN); mpfr_div(r22257, r22255, r22256, MPFR_RNDN); mpfr_set_d(r22258, kx, MPFR_RNDN); mpfr_sin(r22259, r22258, MPFR_RNDN); mpfr_pow(r22260, r22259, r22252, MPFR_RNDN); mpfr_set_d(r22261, ky, MPFR_RNDN); mpfr_sin(r22262, r22261, MPFR_RNDN); mpfr_pow(r22263, r22262, r22252, MPFR_RNDN); mpfr_add(r22264, r22260, r22263, MPFR_RNDN); mpfr_mul(r22265, r22257, r22264, MPFR_RNDN); mpfr_mul(r22266, r22257, r22265, MPFR_RNDN); mpfr_add(r22267, r22251, r22266, MPFR_RNDN); mpfr_sqrt(r22268, r22267, MPFR_RNDN); mpfr_div(r22269, r22251, r22268, MPFR_RNDN); mpfr_add(r22270, r22251, r22269, MPFR_RNDN); mpfr_mul(r22271, r22253, r22270, MPFR_RNDN); mpfr_sqrt(r22272, r22271, MPFR_RNDN); return mpfr_get_d(r22272, MPFR_RNDN); } static mpfr_t r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22273, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22274, "2", 10, MPFR_RNDN); mpfr_init(r22275); mpfr_init(r22276); mpfr_init(r22277); mpfr_init(r22278); mpfr_init(r22279); mpfr_init(r22280); mpfr_init(r22281); mpfr_init(r22282); mpfr_init(r22283); mpfr_init(r22284); mpfr_init(r22285); mpfr_init(r22286); mpfr_init(r22287); mpfr_init(r22288); mpfr_init(r22289); mpfr_init(r22290); mpfr_init(r22291); mpfr_init(r22292); mpfr_init(r22293); mpfr_init(r22294); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22275, r22273, r22274, MPFR_RNDN); mpfr_set_d(r22276, l, MPFR_RNDN); mpfr_mul(r22277, r22274, r22276, MPFR_RNDN); mpfr_set_d(r22278, Om, MPFR_RNDN); mpfr_div(r22279, r22277, r22278, MPFR_RNDN); mpfr_set_d(r22280, kx, MPFR_RNDN); mpfr_sin(r22281, r22280, MPFR_RNDN); mpfr_pow(r22282, r22281, r22274, MPFR_RNDN); mpfr_set_d(r22283, ky, MPFR_RNDN); mpfr_sin(r22284, r22283, MPFR_RNDN); mpfr_pow(r22285, r22284, r22274, MPFR_RNDN); mpfr_add(r22286, r22282, r22285, MPFR_RNDN); mpfr_mul(r22287, r22279, r22286, MPFR_RNDN); mpfr_mul(r22288, r22279, r22287, MPFR_RNDN); mpfr_add(r22289, r22273, r22288, MPFR_RNDN); mpfr_sqrt(r22290, r22289, MPFR_RNDN); mpfr_div(r22291, r22273, r22290, MPFR_RNDN); mpfr_add(r22292, r22273, r22291, MPFR_RNDN); mpfr_mul(r22293, r22275, r22292, MPFR_RNDN); mpfr_sqrt(r22294, r22293, MPFR_RNDN); return mpfr_get_d(r22294, MPFR_RNDN); }