#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22212 = 1; float r22213 = 2; float r22214 = r22212 / r22213; float r22215 = l; float r22216 = r22213 * r22215; float r22217 = Om; float r22218 = r22216 / r22217; float r22219 = pow(r22218, r22213); float r22220 = kx; float r22221 = sin(r22220); float r22222 = pow(r22221, r22213); float r22223 = ky; float r22224 = sin(r22223); float r22225 = pow(r22224, r22213); float r22226 = r22222 + r22225; float r22227 = r22219 * r22226; float r22228 = r22212 + r22227; float r22229 = sqrt(r22228); float r22230 = r22212 / r22229; float r22231 = r22212 + r22230; float r22232 = r22214 * r22231; float r22233 = sqrt(r22232); return r22233; } double f_id(double l, double Om, double kx, double ky) { double r22234 = 1; double r22235 = 2; double r22236 = r22234 / r22235; double r22237 = l; double r22238 = r22235 * r22237; double r22239 = Om; double r22240 = r22238 / r22239; double r22241 = pow(r22240, r22235); double r22242 = kx; double r22243 = sin(r22242); double r22244 = pow(r22243, r22235); double r22245 = ky; double r22246 = sin(r22245); double r22247 = pow(r22246, r22235); double r22248 = r22244 + r22247; double r22249 = r22241 * r22248; double r22250 = r22234 + r22249; double r22251 = sqrt(r22250); double r22252 = r22234 / r22251; double r22253 = r22234 + r22252; double r22254 = r22236 * r22253; double r22255 = sqrt(r22254); return r22255; } double f_of(float l, float Om, float kx, float ky) { float r22256 = 1; float r22257 = 2; float r22258 = r22256 / r22257; float r22259 = l; float r22260 = r22257 * r22259; float r22261 = Om; float r22262 = r22260 / r22261; float r22263 = kx; float r22264 = sin(r22263); float r22265 = pow(r22264, r22257); float r22266 = ky; float r22267 = sin(r22266); float r22268 = pow(r22267, r22257); float r22269 = r22265 + r22268; float r22270 = r22262 * r22269; float r22271 = r22262 * r22270; float r22272 = r22256 + r22271; float r22273 = sqrt(r22272); float r22274 = r22256 / r22273; float r22275 = r22256 + r22274; float r22276 = r22258 * r22275; float r22277 = sqrt(r22276); return r22277; } double f_od(double l, double Om, double kx, double ky) { double r22278 = 1; double r22279 = 2; double r22280 = r22278 / r22279; double r22281 = l; double r22282 = r22279 * r22281; double r22283 = Om; double r22284 = r22282 / r22283; double r22285 = kx; double r22286 = sin(r22285); double r22287 = pow(r22286, r22279); double r22288 = ky; double r22289 = sin(r22288); double r22290 = pow(r22289, r22279); double r22291 = r22287 + r22290; double r22292 = r22284 * r22291; double r22293 = r22284 * r22292; double r22294 = r22278 + r22293; double r22295 = sqrt(r22294); double r22296 = r22278 / r22295; double r22297 = r22278 + r22296; double r22298 = r22280 * r22297; double r22299 = sqrt(r22298); return r22299; } 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 r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22300, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22301, "2", 10, MPFR_RNDN); 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); mpfr_init(r22317); mpfr_init(r22318); mpfr_init(r22319); mpfr_init(r22320); mpfr_init(r22321); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22302, r22300, r22301, MPFR_RNDN); mpfr_set_d(r22303, l, MPFR_RNDN); mpfr_mul(r22304, r22301, r22303, MPFR_RNDN); mpfr_set_d(r22305, Om, MPFR_RNDN); mpfr_div(r22306, r22304, r22305, MPFR_RNDN); mpfr_pow(r22307, r22306, r22301, MPFR_RNDN); mpfr_set_d(r22308, kx, MPFR_RNDN); mpfr_sin(r22309, r22308, MPFR_RNDN); mpfr_pow(r22310, r22309, r22301, MPFR_RNDN); mpfr_set_d(r22311, ky, MPFR_RNDN); mpfr_sin(r22312, r22311, MPFR_RNDN); mpfr_pow(r22313, r22312, r22301, MPFR_RNDN); mpfr_add(r22314, r22310, r22313, MPFR_RNDN); mpfr_mul(r22315, r22307, r22314, MPFR_RNDN); mpfr_add(r22316, r22300, r22315, MPFR_RNDN); mpfr_sqrt(r22317, r22316, MPFR_RNDN); mpfr_div(r22318, r22300, r22317, MPFR_RNDN); mpfr_add(r22319, r22300, r22318, MPFR_RNDN); mpfr_mul(r22320, r22302, r22319, MPFR_RNDN); mpfr_sqrt(r22321, r22320, MPFR_RNDN); return mpfr_get_d(r22321, MPFR_RNDN); } static mpfr_t r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22322, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22323, "2", 10, MPFR_RNDN); 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); mpfr_init(r22342); mpfr_init(r22343); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22324, r22322, r22323, MPFR_RNDN); mpfr_set_d(r22325, l, MPFR_RNDN); mpfr_mul(r22326, r22323, r22325, MPFR_RNDN); mpfr_set_d(r22327, Om, MPFR_RNDN); mpfr_div(r22328, r22326, r22327, MPFR_RNDN); mpfr_set_d(r22329, kx, MPFR_RNDN); mpfr_sin(r22330, r22329, MPFR_RNDN); mpfr_pow(r22331, r22330, r22323, MPFR_RNDN); mpfr_set_d(r22332, ky, MPFR_RNDN); mpfr_sin(r22333, r22332, MPFR_RNDN); mpfr_pow(r22334, r22333, r22323, MPFR_RNDN); mpfr_add(r22335, r22331, r22334, MPFR_RNDN); mpfr_mul(r22336, r22328, r22335, MPFR_RNDN); mpfr_mul(r22337, r22328, r22336, MPFR_RNDN); mpfr_add(r22338, r22322, r22337, MPFR_RNDN); mpfr_sqrt(r22339, r22338, MPFR_RNDN); mpfr_div(r22340, r22322, r22339, MPFR_RNDN); mpfr_add(r22341, r22322, r22340, MPFR_RNDN); mpfr_mul(r22342, r22324, r22341, MPFR_RNDN); mpfr_sqrt(r22343, r22342, MPFR_RNDN); return mpfr_get_d(r22343, MPFR_RNDN); } static mpfr_t r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363, r22364, r22365; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22344, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22345, "2", 10, MPFR_RNDN); mpfr_init(r22346); mpfr_init(r22347); mpfr_init(r22348); mpfr_init(r22349); mpfr_init(r22350); mpfr_init(r22351); mpfr_init(r22352); mpfr_init(r22353); mpfr_init(r22354); mpfr_init(r22355); mpfr_init(r22356); mpfr_init(r22357); mpfr_init(r22358); mpfr_init(r22359); mpfr_init(r22360); mpfr_init(r22361); mpfr_init(r22362); mpfr_init(r22363); mpfr_init(r22364); mpfr_init(r22365); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22346, r22344, r22345, MPFR_RNDN); mpfr_set_d(r22347, l, MPFR_RNDN); mpfr_mul(r22348, r22345, r22347, MPFR_RNDN); mpfr_set_d(r22349, Om, MPFR_RNDN); mpfr_div(r22350, r22348, r22349, MPFR_RNDN); mpfr_set_d(r22351, kx, MPFR_RNDN); mpfr_sin(r22352, r22351, MPFR_RNDN); mpfr_pow(r22353, r22352, r22345, MPFR_RNDN); mpfr_set_d(r22354, ky, MPFR_RNDN); mpfr_sin(r22355, r22354, MPFR_RNDN); mpfr_pow(r22356, r22355, r22345, MPFR_RNDN); mpfr_add(r22357, r22353, r22356, MPFR_RNDN); mpfr_mul(r22358, r22350, r22357, MPFR_RNDN); mpfr_mul(r22359, r22350, r22358, MPFR_RNDN); mpfr_add(r22360, r22344, r22359, MPFR_RNDN); mpfr_sqrt(r22361, r22360, MPFR_RNDN); mpfr_div(r22362, r22344, r22361, MPFR_RNDN); mpfr_add(r22363, r22344, r22362, MPFR_RNDN); mpfr_mul(r22364, r22346, r22363, MPFR_RNDN); mpfr_sqrt(r22365, r22364, MPFR_RNDN); return mpfr_get_d(r22365, MPFR_RNDN); }