#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22164 = 1; float r22165 = 2; float r22166 = r22164 / r22165; float r22167 = l; float r22168 = r22165 * r22167; float r22169 = Om; float r22170 = r22168 / r22169; float r22171 = pow(r22170, r22165); float r22172 = kx; float r22173 = sin(r22172); float r22174 = pow(r22173, r22165); float r22175 = ky; float r22176 = sin(r22175); float r22177 = pow(r22176, r22165); float r22178 = r22174 + r22177; float r22179 = r22171 * r22178; float r22180 = r22164 + r22179; float r22181 = sqrt(r22180); float r22182 = r22164 / r22181; float r22183 = r22164 + r22182; float r22184 = r22166 * r22183; float r22185 = sqrt(r22184); return r22185; } double f_id(double l, double Om, double kx, double ky) { double r22186 = 1; double r22187 = 2; double r22188 = r22186 / r22187; double r22189 = l; double r22190 = r22187 * r22189; double r22191 = Om; double r22192 = r22190 / r22191; double r22193 = pow(r22192, r22187); double r22194 = kx; double r22195 = sin(r22194); double r22196 = pow(r22195, r22187); double r22197 = ky; double r22198 = sin(r22197); double r22199 = pow(r22198, r22187); double r22200 = r22196 + r22199; double r22201 = r22193 * r22200; double r22202 = r22186 + r22201; double r22203 = sqrt(r22202); double r22204 = r22186 / r22203; double r22205 = r22186 + r22204; double r22206 = r22188 * r22205; double r22207 = sqrt(r22206); return r22207; } double f_of(float l, float Om, float kx, float ky) { float r22208 = 1; float r22209 = 2; float r22210 = r22208 / r22209; float r22211 = ky; float r22212 = sin(r22211); float r22213 = r22212 * r22212; float r22214 = kx; float r22215 = sin(r22214); float r22216 = r22215 * r22215; float r22217 = r22213 + r22216; float r22218 = l; float r22219 = Om; float r22220 = r22219 / r22209; float r22221 = r22218 / r22220; float r22222 = r22221 * r22221; float r22223 = r22217 * r22222; float r22224 = r22223 + r22208; float r22225 = sqrt(r22224); float r22226 = r22225 * r22224; float r22227 = cbrt(r22226); float r22228 = r22208 / r22227; float r22229 = r22208 + r22228; float r22230 = r22210 * r22229; float r22231 = sqrt(r22230); return r22231; } double f_od(double l, double Om, double kx, double ky) { double r22232 = 1; double r22233 = 2; double r22234 = r22232 / r22233; double r22235 = ky; double r22236 = sin(r22235); double r22237 = r22236 * r22236; double r22238 = kx; double r22239 = sin(r22238); double r22240 = r22239 * r22239; double r22241 = r22237 + r22240; double r22242 = l; double r22243 = Om; double r22244 = r22243 / r22233; double r22245 = r22242 / r22244; double r22246 = r22245 * r22245; double r22247 = r22241 * r22246; double r22248 = r22247 + r22232; double r22249 = sqrt(r22248); double r22250 = r22249 * r22248; double r22251 = cbrt(r22250); double r22252 = r22232 / r22251; double r22253 = r22232 + r22252; double r22254 = r22234 * r22253; double r22255 = sqrt(r22254); return r22255; } 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 r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22256, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22257, "2", 10, MPFR_RNDN); 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); mpfr_init(r22273); mpfr_init(r22274); mpfr_init(r22275); mpfr_init(r22276); mpfr_init(r22277); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22258, r22256, r22257, MPFR_RNDN); mpfr_set_d(r22259, l, MPFR_RNDN); mpfr_mul(r22260, r22257, r22259, MPFR_RNDN); mpfr_set_d(r22261, Om, MPFR_RNDN); mpfr_div(r22262, r22260, r22261, MPFR_RNDN); mpfr_pow(r22263, r22262, r22257, MPFR_RNDN); mpfr_set_d(r22264, kx, MPFR_RNDN); mpfr_sin(r22265, r22264, MPFR_RNDN); mpfr_pow(r22266, r22265, r22257, MPFR_RNDN); mpfr_set_d(r22267, ky, MPFR_RNDN); mpfr_sin(r22268, r22267, MPFR_RNDN); mpfr_pow(r22269, r22268, r22257, MPFR_RNDN); mpfr_add(r22270, r22266, r22269, MPFR_RNDN); mpfr_mul(r22271, r22263, r22270, MPFR_RNDN); mpfr_add(r22272, r22256, r22271, MPFR_RNDN); mpfr_sqrt(r22273, r22272, MPFR_RNDN); mpfr_div(r22274, r22256, r22273, MPFR_RNDN); mpfr_add(r22275, r22256, r22274, MPFR_RNDN); mpfr_mul(r22276, r22258, r22275, MPFR_RNDN); mpfr_sqrt(r22277, r22276, MPFR_RNDN); return mpfr_get_d(r22277, MPFR_RNDN); } static mpfr_t r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22278, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22279, "2", 10, MPFR_RNDN); 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); mpfr_init(r22295); mpfr_init(r22296); mpfr_init(r22297); mpfr_init(r22298); mpfr_init(r22299); mpfr_init(r22300); mpfr_init(r22301); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22280, r22278, r22279, MPFR_RNDN); mpfr_set_d(r22281, ky, MPFR_RNDN); mpfr_sin(r22282, r22281, MPFR_RNDN); mpfr_mul(r22283, r22282, r22282, MPFR_RNDN); mpfr_set_d(r22284, kx, MPFR_RNDN); mpfr_sin(r22285, r22284, MPFR_RNDN); mpfr_mul(r22286, r22285, r22285, MPFR_RNDN); mpfr_add(r22287, r22283, r22286, MPFR_RNDN); mpfr_set_d(r22288, l, MPFR_RNDN); mpfr_set_d(r22289, Om, MPFR_RNDN); mpfr_div(r22290, r22289, r22279, MPFR_RNDN); mpfr_div(r22291, r22288, r22290, MPFR_RNDN); mpfr_mul(r22292, r22291, r22291, MPFR_RNDN); mpfr_mul(r22293, r22287, r22292, MPFR_RNDN); mpfr_add(r22294, r22293, r22278, MPFR_RNDN); mpfr_sqrt(r22295, r22294, MPFR_RNDN); mpfr_mul(r22296, r22295, r22294, MPFR_RNDN); mpfr_cbrt(r22297, r22296, MPFR_RNDN); mpfr_div(r22298, r22278, r22297, MPFR_RNDN); mpfr_add(r22299, r22278, r22298, MPFR_RNDN); mpfr_mul(r22300, r22280, r22299, MPFR_RNDN); mpfr_sqrt(r22301, r22300, MPFR_RNDN); return mpfr_get_d(r22301, MPFR_RNDN); } static mpfr_t r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22302, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22303, "2", 10, MPFR_RNDN); mpfr_init(r22304); mpfr_init(r22305); mpfr_init(r22306); mpfr_init(r22307); mpfr_init(r22308); mpfr_init(r22309); mpfr_init(r22310); mpfr_init(r22311); mpfr_init(r22312); mpfr_init(r22313); mpfr_init(r22314); mpfr_init(r22315); mpfr_init(r22316); mpfr_init(r22317); mpfr_init(r22318); mpfr_init(r22319); mpfr_init(r22320); mpfr_init(r22321); mpfr_init(r22322); mpfr_init(r22323); mpfr_init(r22324); mpfr_init(r22325); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22304, r22302, r22303, MPFR_RNDN); mpfr_set_d(r22305, ky, MPFR_RNDN); mpfr_sin(r22306, r22305, MPFR_RNDN); mpfr_mul(r22307, r22306, r22306, MPFR_RNDN); mpfr_set_d(r22308, kx, MPFR_RNDN); mpfr_sin(r22309, r22308, MPFR_RNDN); mpfr_mul(r22310, r22309, r22309, MPFR_RNDN); mpfr_add(r22311, r22307, r22310, MPFR_RNDN); mpfr_set_d(r22312, l, MPFR_RNDN); mpfr_set_d(r22313, Om, MPFR_RNDN); mpfr_div(r22314, r22313, r22303, MPFR_RNDN); mpfr_div(r22315, r22312, r22314, MPFR_RNDN); mpfr_mul(r22316, r22315, r22315, MPFR_RNDN); mpfr_mul(r22317, r22311, r22316, MPFR_RNDN); mpfr_add(r22318, r22317, r22302, MPFR_RNDN); mpfr_sqrt(r22319, r22318, MPFR_RNDN); mpfr_mul(r22320, r22319, r22318, MPFR_RNDN); mpfr_cbrt(r22321, r22320, MPFR_RNDN); mpfr_div(r22322, r22302, r22321, MPFR_RNDN); mpfr_add(r22323, r22302, r22322, MPFR_RNDN); mpfr_mul(r22324, r22304, r22323, MPFR_RNDN); mpfr_sqrt(r22325, r22324, MPFR_RNDN); return mpfr_get_d(r22325, MPFR_RNDN); }