#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22176 = 1; float r22177 = 2; float r22178 = r22176 / r22177; float r22179 = l; float r22180 = r22177 * r22179; float r22181 = Om; float r22182 = r22180 / r22181; float r22183 = pow(r22182, r22177); float r22184 = kx; float r22185 = sin(r22184); float r22186 = pow(r22185, r22177); float r22187 = ky; float r22188 = sin(r22187); float r22189 = pow(r22188, r22177); float r22190 = r22186 + r22189; float r22191 = r22183 * r22190; float r22192 = r22176 + r22191; float r22193 = sqrt(r22192); float r22194 = r22176 / r22193; float r22195 = r22176 + r22194; float r22196 = r22178 * r22195; float r22197 = sqrt(r22196); return r22197; } double f_id(double l, double Om, double kx, double ky) { double r22198 = 1; double r22199 = 2; double r22200 = r22198 / r22199; double r22201 = l; double r22202 = r22199 * r22201; double r22203 = Om; double r22204 = r22202 / r22203; double r22205 = pow(r22204, r22199); double r22206 = kx; double r22207 = sin(r22206); double r22208 = pow(r22207, r22199); double r22209 = ky; double r22210 = sin(r22209); double r22211 = pow(r22210, r22199); double r22212 = r22208 + r22211; double r22213 = r22205 * r22212; double r22214 = r22198 + r22213; double r22215 = sqrt(r22214); double r22216 = r22198 / r22215; double r22217 = r22198 + r22216; double r22218 = r22200 * r22217; double r22219 = sqrt(r22218); return r22219; } double f_of(float l, float Om, float kx, float ky) { float r22220 = 1; float r22221 = 2; float r22222 = r22220 / r22221; float r22223 = l; float r22224 = r22221 * r22223; float r22225 = Om; float r22226 = r22224 / r22225; float r22227 = pow(r22226, r22221); float r22228 = kx; float r22229 = sin(r22228); float r22230 = pow(r22229, r22221); float r22231 = ky; float r22232 = sin(r22231); float r22233 = pow(r22232, r22221); float r22234 = r22230 + r22233; float r22235 = r22227 * r22234; float r22236 = r22220 + r22235; float r22237 = sqrt(r22236); float r22238 = cbrt(r22237); float r22239 = r22238 * r22238; float r22240 = r22239 * r22238; float r22241 = r22220 / r22240; float r22242 = r22220 + r22241; float r22243 = r22222 * r22242; float r22244 = sqrt(r22243); return r22244; } double f_od(double l, double Om, double kx, double ky) { double r22245 = 1; double r22246 = 2; double r22247 = r22245 / r22246; double r22248 = l; double r22249 = r22246 * r22248; double r22250 = Om; double r22251 = r22249 / r22250; double r22252 = pow(r22251, r22246); double r22253 = kx; double r22254 = sin(r22253); double r22255 = pow(r22254, r22246); double r22256 = ky; double r22257 = sin(r22256); double r22258 = pow(r22257, r22246); double r22259 = r22255 + r22258; double r22260 = r22252 * r22259; double r22261 = r22245 + r22260; double r22262 = sqrt(r22261); double r22263 = cbrt(r22262); double r22264 = r22263 * r22263; double r22265 = r22264 * r22263; double r22266 = r22245 / r22265; double r22267 = r22245 + r22266; double r22268 = r22247 * r22267; double r22269 = sqrt(r22268); return r22269; } 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 r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r22270, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22271, "2", 10, MPFR_RNDN); mpfr_init(r22272); mpfr_init(r22273); mpfr_init(r22274); 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); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22272, r22270, r22271, MPFR_RNDN); mpfr_set_d(r22273, l, MPFR_RNDN); mpfr_mul(r22274, r22271, r22273, MPFR_RNDN); mpfr_set_d(r22275, Om, MPFR_RNDN); mpfr_div(r22276, r22274, r22275, MPFR_RNDN); mpfr_pow(r22277, r22276, r22271, MPFR_RNDN); mpfr_set_d(r22278, kx, MPFR_RNDN); mpfr_sin(r22279, r22278, MPFR_RNDN); mpfr_pow(r22280, r22279, r22271, MPFR_RNDN); mpfr_set_d(r22281, ky, MPFR_RNDN); mpfr_sin(r22282, r22281, MPFR_RNDN); mpfr_pow(r22283, r22282, r22271, MPFR_RNDN); mpfr_add(r22284, r22280, r22283, MPFR_RNDN); mpfr_mul(r22285, r22277, r22284, MPFR_RNDN); mpfr_add(r22286, r22270, r22285, MPFR_RNDN); mpfr_sqrt(r22287, r22286, MPFR_RNDN); mpfr_div(r22288, r22270, r22287, MPFR_RNDN); mpfr_add(r22289, r22270, r22288, MPFR_RNDN); mpfr_mul(r22290, r22272, r22289, MPFR_RNDN); mpfr_sqrt(r22291, r22290, MPFR_RNDN); return mpfr_get_d(r22291, MPFR_RNDN); } static mpfr_t r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22292, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22293, "2", 10, MPFR_RNDN); mpfr_init(r22294); mpfr_init(r22295); mpfr_init(r22296); mpfr_init(r22297); mpfr_init(r22298); mpfr_init(r22299); mpfr_init(r22300); mpfr_init(r22301); mpfr_init(r22302); mpfr_init(r22303); 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); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22294, r22292, r22293, MPFR_RNDN); mpfr_set_d(r22295, l, MPFR_RNDN); mpfr_mul(r22296, r22293, r22295, MPFR_RNDN); mpfr_set_d(r22297, Om, MPFR_RNDN); mpfr_div(r22298, r22296, r22297, MPFR_RNDN); mpfr_pow(r22299, r22298, r22293, MPFR_RNDN); mpfr_set_d(r22300, kx, MPFR_RNDN); mpfr_sin(r22301, r22300, MPFR_RNDN); mpfr_pow(r22302, r22301, r22293, MPFR_RNDN); mpfr_set_d(r22303, ky, MPFR_RNDN); mpfr_sin(r22304, r22303, MPFR_RNDN); mpfr_pow(r22305, r22304, r22293, MPFR_RNDN); mpfr_add(r22306, r22302, r22305, MPFR_RNDN); mpfr_mul(r22307, r22299, r22306, MPFR_RNDN); mpfr_add(r22308, r22292, r22307, MPFR_RNDN); mpfr_sqrt(r22309, r22308, MPFR_RNDN); mpfr_cbrt(r22310, r22309, MPFR_RNDN); mpfr_mul(r22311, r22310, r22310, MPFR_RNDN); mpfr_mul(r22312, r22311, r22310, MPFR_RNDN); mpfr_div(r22313, r22292, r22312, MPFR_RNDN); mpfr_add(r22314, r22292, r22313, MPFR_RNDN); mpfr_mul(r22315, r22294, r22314, MPFR_RNDN); mpfr_sqrt(r22316, r22315, MPFR_RNDN); return mpfr_get_d(r22316, MPFR_RNDN); } static mpfr_t r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r22317, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22318, "2", 10, MPFR_RNDN); mpfr_init(r22319); mpfr_init(r22320); mpfr_init(r22321); mpfr_init(r22322); mpfr_init(r22323); mpfr_init(r22324); mpfr_init(r22325); mpfr_init(r22326); mpfr_init(r22327); mpfr_init(r22328); mpfr_init(r22329); mpfr_init(r22330); mpfr_init(r22331); mpfr_init(r22332); mpfr_init(r22333); mpfr_init(r22334); mpfr_init(r22335); mpfr_init(r22336); mpfr_init(r22337); mpfr_init(r22338); mpfr_init(r22339); mpfr_init(r22340); mpfr_init(r22341); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22319, r22317, r22318, MPFR_RNDN); mpfr_set_d(r22320, l, MPFR_RNDN); mpfr_mul(r22321, r22318, r22320, MPFR_RNDN); mpfr_set_d(r22322, Om, MPFR_RNDN); mpfr_div(r22323, r22321, r22322, MPFR_RNDN); mpfr_pow(r22324, r22323, r22318, MPFR_RNDN); mpfr_set_d(r22325, kx, MPFR_RNDN); mpfr_sin(r22326, r22325, MPFR_RNDN); mpfr_pow(r22327, r22326, r22318, MPFR_RNDN); mpfr_set_d(r22328, ky, MPFR_RNDN); mpfr_sin(r22329, r22328, MPFR_RNDN); mpfr_pow(r22330, r22329, r22318, MPFR_RNDN); mpfr_add(r22331, r22327, r22330, MPFR_RNDN); mpfr_mul(r22332, r22324, r22331, MPFR_RNDN); mpfr_add(r22333, r22317, r22332, MPFR_RNDN); mpfr_sqrt(r22334, r22333, MPFR_RNDN); mpfr_cbrt(r22335, r22334, MPFR_RNDN); mpfr_mul(r22336, r22335, r22335, MPFR_RNDN); mpfr_mul(r22337, r22336, r22335, MPFR_RNDN); mpfr_div(r22338, r22317, r22337, MPFR_RNDN); mpfr_add(r22339, r22317, r22338, MPFR_RNDN); mpfr_mul(r22340, r22319, r22339, MPFR_RNDN); mpfr_sqrt(r22341, r22340, MPFR_RNDN); return mpfr_get_d(r22341, MPFR_RNDN); }