#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r22340 = 1; float r22341 = 2; float r22342 = r22340 / r22341; float r22343 = l; float r22344 = r22341 * r22343; float r22345 = Om; float r22346 = r22344 / r22345; float r22347 = pow(r22346, r22341); float r22348 = kx; float r22349 = sin(r22348); float r22350 = pow(r22349, r22341); float r22351 = ky; float r22352 = sin(r22351); float r22353 = pow(r22352, r22341); float r22354 = r22350 + r22353; float r22355 = r22347 * r22354; float r22356 = r22340 + r22355; float r22357 = sqrt(r22356); float r22358 = r22340 / r22357; float r22359 = r22340 + r22358; float r22360 = r22342 * r22359; float r22361 = sqrt(r22360); return r22361; } double f_id(double l, double Om, double kx, double ky) { double r22362 = 1; double r22363 = 2; double r22364 = r22362 / r22363; double r22365 = l; double r22366 = r22363 * r22365; double r22367 = Om; double r22368 = r22366 / r22367; double r22369 = pow(r22368, r22363); double r22370 = kx; double r22371 = sin(r22370); double r22372 = pow(r22371, r22363); double r22373 = ky; double r22374 = sin(r22373); double r22375 = pow(r22374, r22363); double r22376 = r22372 + r22375; double r22377 = r22369 * r22376; double r22378 = r22362 + r22377; double r22379 = sqrt(r22378); double r22380 = r22362 / r22379; double r22381 = r22362 + r22380; double r22382 = r22364 * r22381; double r22383 = sqrt(r22382); return r22383; } double f_of(float l, float Om, float kx, float ky) { float r22384 = 1; float r22385 = 2; float r22386 = l; float r22387 = r22385 * r22386; float r22388 = Om; float r22389 = r22387 / r22388; float r22390 = pow(r22389, r22385); float r22391 = kx; float r22392 = sin(r22391); float r22393 = pow(r22392, r22385); float r22394 = ky; float r22395 = sin(r22394); float r22396 = pow(r22395, r22385); float r22397 = r22393 + r22396; float r22398 = r22390 * r22397; float r22399 = r22384 + r22398; float r22400 = sqrt(r22399); float r22401 = 2953730668573465.0; bool r22402 = r22400 <= r22401; float r22403 = r22384 / r22385; float r22404 = sqrt(r22400); float r22405 = r22404 * r22404; float r22406 = r22384 / r22405; float r22407 = r22384 + r22406; float r22408 = r22403 * r22407; float r22409 = sqrt(r22408); float r22410 = sqrt(r22403); float r22411 = r22402 ? r22409 : r22410; return r22411; } double f_od(double l, double Om, double kx, double ky) { double r22412 = 1; double r22413 = 2; double r22414 = l; double r22415 = r22413 * r22414; double r22416 = Om; double r22417 = r22415 / r22416; double r22418 = pow(r22417, r22413); double r22419 = kx; double r22420 = sin(r22419); double r22421 = pow(r22420, r22413); double r22422 = ky; double r22423 = sin(r22422); double r22424 = pow(r22423, r22413); double r22425 = r22421 + r22424; double r22426 = r22418 * r22425; double r22427 = r22412 + r22426; double r22428 = sqrt(r22427); double r22429 = 2953730668573465.0; bool r22430 = r22428 <= r22429; double r22431 = r22412 / r22413; double r22432 = sqrt(r22428); double r22433 = r22432 * r22432; double r22434 = r22412 / r22433; double r22435 = r22412 + r22434; double r22436 = r22431 * r22435; double r22437 = sqrt(r22436); double r22438 = sqrt(r22431); double r22439 = r22430 ? r22437 : r22438; return r22439; } 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 r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r22440, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22441, "2", 10, MPFR_RNDN); mpfr_init(r22442); mpfr_init(r22443); mpfr_init(r22444); mpfr_init(r22445); mpfr_init(r22446); mpfr_init(r22447); mpfr_init(r22448); mpfr_init(r22449); mpfr_init(r22450); mpfr_init(r22451); mpfr_init(r22452); mpfr_init(r22453); mpfr_init(r22454); mpfr_init(r22455); mpfr_init(r22456); mpfr_init(r22457); mpfr_init(r22458); mpfr_init(r22459); mpfr_init(r22460); mpfr_init(r22461); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r22442, r22440, r22441, MPFR_RNDN); mpfr_set_d(r22443, l, MPFR_RNDN); mpfr_mul(r22444, r22441, r22443, MPFR_RNDN); mpfr_set_d(r22445, Om, MPFR_RNDN); mpfr_div(r22446, r22444, r22445, MPFR_RNDN); mpfr_pow(r22447, r22446, r22441, MPFR_RNDN); mpfr_set_d(r22448, kx, MPFR_RNDN); mpfr_sin(r22449, r22448, MPFR_RNDN); mpfr_pow(r22450, r22449, r22441, MPFR_RNDN); mpfr_set_d(r22451, ky, MPFR_RNDN); mpfr_sin(r22452, r22451, MPFR_RNDN); mpfr_pow(r22453, r22452, r22441, MPFR_RNDN); mpfr_add(r22454, r22450, r22453, MPFR_RNDN); mpfr_mul(r22455, r22447, r22454, MPFR_RNDN); mpfr_add(r22456, r22440, r22455, MPFR_RNDN); mpfr_sqrt(r22457, r22456, MPFR_RNDN); mpfr_div(r22458, r22440, r22457, MPFR_RNDN); mpfr_add(r22459, r22440, r22458, MPFR_RNDN); mpfr_mul(r22460, r22442, r22459, MPFR_RNDN); mpfr_sqrt(r22461, r22460, MPFR_RNDN); return mpfr_get_d(r22461, MPFR_RNDN); } static mpfr_t r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22462, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22463, "2", 10, MPFR_RNDN); mpfr_init(r22464); mpfr_init(r22465); mpfr_init(r22466); mpfr_init(r22467); mpfr_init(r22468); mpfr_init(r22469); mpfr_init(r22470); mpfr_init(r22471); mpfr_init(r22472); mpfr_init(r22473); mpfr_init(r22474); mpfr_init(r22475); mpfr_init(r22476); mpfr_init(r22477); mpfr_init(r22478); mpfr_init_set_str(r22479, "2953730668573465.0", 10, MPFR_RNDN); mpfr_init(r22480); mpfr_init(r22481); mpfr_init(r22482); mpfr_init(r22483); mpfr_init(r22484); mpfr_init(r22485); mpfr_init(r22486); mpfr_init(r22487); mpfr_init(r22488); mpfr_init(r22489); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22464, l, MPFR_RNDN); mpfr_mul(r22465, r22463, r22464, MPFR_RNDN); mpfr_set_d(r22466, Om, MPFR_RNDN); mpfr_div(r22467, r22465, r22466, MPFR_RNDN); mpfr_pow(r22468, r22467, r22463, MPFR_RNDN); mpfr_set_d(r22469, kx, MPFR_RNDN); mpfr_sin(r22470, r22469, MPFR_RNDN); mpfr_pow(r22471, r22470, r22463, MPFR_RNDN); mpfr_set_d(r22472, ky, MPFR_RNDN); mpfr_sin(r22473, r22472, MPFR_RNDN); mpfr_pow(r22474, r22473, r22463, MPFR_RNDN); mpfr_add(r22475, r22471, r22474, MPFR_RNDN); mpfr_mul(r22476, r22468, r22475, MPFR_RNDN); mpfr_add(r22477, r22462, r22476, MPFR_RNDN); mpfr_sqrt(r22478, r22477, MPFR_RNDN); ; mpfr_set_si(r22480, mpfr_cmp(r22478, r22479) <= 0, MPFR_RNDN); mpfr_div(r22481, r22462, r22463, MPFR_RNDN); mpfr_sqrt(r22482, r22478, MPFR_RNDN); mpfr_mul(r22483, r22482, r22482, MPFR_RNDN); mpfr_div(r22484, r22462, r22483, MPFR_RNDN); mpfr_add(r22485, r22462, r22484, MPFR_RNDN); mpfr_mul(r22486, r22481, r22485, MPFR_RNDN); mpfr_sqrt(r22487, r22486, MPFR_RNDN); mpfr_sqrt(r22488, r22481, MPFR_RNDN); if (mpfr_get_si(r22480, MPFR_RNDN)) { mpfr_set(r22489, r22487, MPFR_RNDN); } else { mpfr_set(r22489, r22488, MPFR_RNDN); }; return mpfr_get_d(r22489, MPFR_RNDN); } static mpfr_t r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22490, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22491, "2", 10, MPFR_RNDN); mpfr_init(r22492); mpfr_init(r22493); mpfr_init(r22494); mpfr_init(r22495); mpfr_init(r22496); mpfr_init(r22497); mpfr_init(r22498); mpfr_init(r22499); mpfr_init(r22500); mpfr_init(r22501); mpfr_init(r22502); mpfr_init(r22503); mpfr_init(r22504); mpfr_init(r22505); mpfr_init(r22506); mpfr_init_set_str(r22507, "2953730668573465.0", 10, MPFR_RNDN); mpfr_init(r22508); mpfr_init(r22509); mpfr_init(r22510); mpfr_init(r22511); mpfr_init(r22512); mpfr_init(r22513); mpfr_init(r22514); mpfr_init(r22515); mpfr_init(r22516); mpfr_init(r22517); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r22492, l, MPFR_RNDN); mpfr_mul(r22493, r22491, r22492, MPFR_RNDN); mpfr_set_d(r22494, Om, MPFR_RNDN); mpfr_div(r22495, r22493, r22494, MPFR_RNDN); mpfr_pow(r22496, r22495, r22491, MPFR_RNDN); mpfr_set_d(r22497, kx, MPFR_RNDN); mpfr_sin(r22498, r22497, MPFR_RNDN); mpfr_pow(r22499, r22498, r22491, MPFR_RNDN); mpfr_set_d(r22500, ky, MPFR_RNDN); mpfr_sin(r22501, r22500, MPFR_RNDN); mpfr_pow(r22502, r22501, r22491, MPFR_RNDN); mpfr_add(r22503, r22499, r22502, MPFR_RNDN); mpfr_mul(r22504, r22496, r22503, MPFR_RNDN); mpfr_add(r22505, r22490, r22504, MPFR_RNDN); mpfr_sqrt(r22506, r22505, MPFR_RNDN); ; mpfr_set_si(r22508, mpfr_cmp(r22506, r22507) <= 0, MPFR_RNDN); mpfr_div(r22509, r22490, r22491, MPFR_RNDN); mpfr_sqrt(r22510, r22506, MPFR_RNDN); mpfr_mul(r22511, r22510, r22510, MPFR_RNDN); mpfr_div(r22512, r22490, r22511, MPFR_RNDN); mpfr_add(r22513, r22490, r22512, MPFR_RNDN); mpfr_mul(r22514, r22509, r22513, MPFR_RNDN); mpfr_sqrt(r22515, r22514, MPFR_RNDN); mpfr_sqrt(r22516, r22509, MPFR_RNDN); if (mpfr_get_si(r22508, MPFR_RNDN)) { mpfr_set(r22517, r22515, MPFR_RNDN); } else { mpfr_set(r22517, r22516, MPFR_RNDN); }; return mpfr_get_d(r22517, MPFR_RNDN); }