#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r22406 = 2; float r22407 = n; float r22408 = r22406 * r22407; float r22409 = U; float r22410 = r22408 * r22409; float r22411 = t; float r22412 = l; float r22413 = r22412 * r22412; float r22414 = Om; float r22415 = r22413 / r22414; float r22416 = r22406 * r22415; float r22417 = r22411 - r22416; float r22418 = r22412 / r22414; float r22419 = pow(r22418, r22406); float r22420 = r22407 * r22419; float r22421 = U_; float r22422 = r22409 - r22421; float r22423 = r22420 * r22422; float r22424 = r22417 - r22423; float r22425 = r22410 * r22424; float r22426 = sqrt(r22425); return r22426; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22427 = 2; double r22428 = n; double r22429 = r22427 * r22428; double r22430 = U; double r22431 = r22429 * r22430; double r22432 = t; double r22433 = l; double r22434 = r22433 * r22433; double r22435 = Om; double r22436 = r22434 / r22435; double r22437 = r22427 * r22436; double r22438 = r22432 - r22437; double r22439 = r22433 / r22435; double r22440 = pow(r22439, r22427); double r22441 = r22428 * r22440; double r22442 = U_; double r22443 = r22430 - r22442; double r22444 = r22441 * r22443; double r22445 = r22438 - r22444; double r22446 = r22431 * r22445; double r22447 = sqrt(r22446); return r22447; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22448 = n; float r22449 = 2; float r22450 = r22448 * r22449; float r22451 = U; float r22452 = r22450 * r22451; float r22453 = 3.793479269681481e-294; bool r22454 = r22452 <= r22453; float r22455 = r22449 * r22448; float r22456 = t; float r22457 = l; float r22458 = Om; float r22459 = r22458 / r22457; float r22460 = r22457 / r22459; float r22461 = r22449 * r22460; float r22462 = r22456 - r22461; float r22463 = r22457 / r22458; float r22464 = pow(r22463, r22449); float r22465 = r22448 * r22464; float r22466 = U_; float r22467 = r22451 - r22466; float r22468 = r22465 * r22467; float r22469 = r22462 - r22468; float r22470 = r22451 * r22469; float r22471 = r22455 * r22470; float r22472 = sqrt(r22471); float r22473 = r22455 * r22451; float r22474 = sqrt(r22473); float r22475 = sqrt(r22469); float r22476 = r22474 * r22475; float r22477 = r22454 ? r22472 : r22476; return r22477; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22478 = n; double r22479 = 2; double r22480 = r22478 * r22479; double r22481 = U; double r22482 = r22480 * r22481; double r22483 = 3.793479269681481e-294; bool r22484 = r22482 <= r22483; double r22485 = r22479 * r22478; double r22486 = t; double r22487 = l; double r22488 = Om; double r22489 = r22488 / r22487; double r22490 = r22487 / r22489; double r22491 = r22479 * r22490; double r22492 = r22486 - r22491; double r22493 = r22487 / r22488; double r22494 = pow(r22493, r22479); double r22495 = r22478 * r22494; double r22496 = U_; double r22497 = r22481 - r22496; double r22498 = r22495 * r22497; double r22499 = r22492 - r22498; double r22500 = r22481 * r22499; double r22501 = r22485 * r22500; double r22502 = sqrt(r22501); double r22503 = r22485 * r22481; double r22504 = sqrt(r22503); double r22505 = sqrt(r22499); double r22506 = r22504 * r22505; double r22507 = r22484 ? r22502 : r22506; return r22507; } 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 r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r22508, "2", 10, MPFR_RNDN); 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); mpfr_init(r22518); mpfr_init(r22519); mpfr_init(r22520); mpfr_init(r22521); mpfr_init(r22522); mpfr_init(r22523); mpfr_init(r22524); mpfr_init(r22525); mpfr_init(r22526); mpfr_init(r22527); mpfr_init(r22528); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22509, n, MPFR_RNDN); mpfr_mul(r22510, r22508, r22509, MPFR_RNDN); mpfr_set_d(r22511, U, MPFR_RNDN); mpfr_mul(r22512, r22510, r22511, MPFR_RNDN); mpfr_set_d(r22513, t, MPFR_RNDN); mpfr_set_d(r22514, l, MPFR_RNDN); mpfr_mul(r22515, r22514, r22514, MPFR_RNDN); mpfr_set_d(r22516, Om, MPFR_RNDN); mpfr_div(r22517, r22515, r22516, MPFR_RNDN); mpfr_mul(r22518, r22508, r22517, MPFR_RNDN); mpfr_sub(r22519, r22513, r22518, MPFR_RNDN); mpfr_div(r22520, r22514, r22516, MPFR_RNDN); mpfr_pow(r22521, r22520, r22508, MPFR_RNDN); mpfr_mul(r22522, r22509, r22521, MPFR_RNDN); mpfr_set_d(r22523, U_, MPFR_RNDN); mpfr_sub(r22524, r22511, r22523, MPFR_RNDN); mpfr_mul(r22525, r22522, r22524, MPFR_RNDN); mpfr_sub(r22526, r22519, r22525, MPFR_RNDN); mpfr_mul(r22527, r22512, r22526, MPFR_RNDN); mpfr_sqrt(r22528, r22527, MPFR_RNDN); return mpfr_get_d(r22528, MPFR_RNDN); } static mpfr_t r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553, r22554, r22555, r22556, r22557, r22558; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r22529); mpfr_init_set_str(r22530, "2", 10, MPFR_RNDN); mpfr_init(r22531); mpfr_init(r22532); mpfr_init(r22533); mpfr_init_set_str(r22534, "3.793479269681481e-294", 10, MPFR_RNDN); mpfr_init(r22535); mpfr_init(r22536); mpfr_init(r22537); mpfr_init(r22538); mpfr_init(r22539); mpfr_init(r22540); mpfr_init(r22541); mpfr_init(r22542); mpfr_init(r22543); mpfr_init(r22544); mpfr_init(r22545); mpfr_init(r22546); mpfr_init(r22547); mpfr_init(r22548); mpfr_init(r22549); mpfr_init(r22550); mpfr_init(r22551); mpfr_init(r22552); mpfr_init(r22553); mpfr_init(r22554); mpfr_init(r22555); mpfr_init(r22556); mpfr_init(r22557); mpfr_init(r22558); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22529, n, MPFR_RNDN); ; mpfr_mul(r22531, r22529, r22530, MPFR_RNDN); mpfr_set_d(r22532, U, MPFR_RNDN); mpfr_mul(r22533, r22531, r22532, MPFR_RNDN); ; mpfr_set_si(r22535, mpfr_cmp(r22533, r22534) <= 0, MPFR_RNDN); mpfr_mul(r22536, r22530, r22529, MPFR_RNDN); mpfr_set_d(r22537, t, MPFR_RNDN); mpfr_set_d(r22538, l, MPFR_RNDN); mpfr_set_d(r22539, Om, MPFR_RNDN); mpfr_div(r22540, r22539, r22538, MPFR_RNDN); mpfr_div(r22541, r22538, r22540, MPFR_RNDN); mpfr_mul(r22542, r22530, r22541, MPFR_RNDN); mpfr_sub(r22543, r22537, r22542, MPFR_RNDN); mpfr_div(r22544, r22538, r22539, MPFR_RNDN); mpfr_pow(r22545, r22544, r22530, MPFR_RNDN); mpfr_mul(r22546, r22529, r22545, MPFR_RNDN); mpfr_set_d(r22547, U_, MPFR_RNDN); mpfr_sub(r22548, r22532, r22547, MPFR_RNDN); mpfr_mul(r22549, r22546, r22548, MPFR_RNDN); mpfr_sub(r22550, r22543, r22549, MPFR_RNDN); mpfr_mul(r22551, r22532, r22550, MPFR_RNDN); mpfr_mul(r22552, r22536, r22551, MPFR_RNDN); mpfr_sqrt(r22553, r22552, MPFR_RNDN); mpfr_mul(r22554, r22536, r22532, MPFR_RNDN); mpfr_sqrt(r22555, r22554, MPFR_RNDN); mpfr_sqrt(r22556, r22550, MPFR_RNDN); mpfr_mul(r22557, r22555, r22556, MPFR_RNDN); if (mpfr_get_si(r22535, MPFR_RNDN)) { mpfr_set(r22558, r22553, MPFR_RNDN); } else { mpfr_set(r22558, r22557, MPFR_RNDN); }; return mpfr_get_d(r22558, MPFR_RNDN); } static mpfr_t r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581, r22582, r22583, r22584, r22585, r22586, r22587, r22588; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r22559); mpfr_init_set_str(r22560, "2", 10, MPFR_RNDN); mpfr_init(r22561); mpfr_init(r22562); mpfr_init(r22563); mpfr_init_set_str(r22564, "3.793479269681481e-294", 10, MPFR_RNDN); mpfr_init(r22565); mpfr_init(r22566); mpfr_init(r22567); mpfr_init(r22568); mpfr_init(r22569); mpfr_init(r22570); mpfr_init(r22571); mpfr_init(r22572); mpfr_init(r22573); mpfr_init(r22574); mpfr_init(r22575); mpfr_init(r22576); mpfr_init(r22577); mpfr_init(r22578); mpfr_init(r22579); mpfr_init(r22580); mpfr_init(r22581); mpfr_init(r22582); mpfr_init(r22583); mpfr_init(r22584); mpfr_init(r22585); mpfr_init(r22586); mpfr_init(r22587); mpfr_init(r22588); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22559, n, MPFR_RNDN); ; mpfr_mul(r22561, r22559, r22560, MPFR_RNDN); mpfr_set_d(r22562, U, MPFR_RNDN); mpfr_mul(r22563, r22561, r22562, MPFR_RNDN); ; mpfr_set_si(r22565, mpfr_cmp(r22563, r22564) <= 0, MPFR_RNDN); mpfr_mul(r22566, r22560, r22559, MPFR_RNDN); mpfr_set_d(r22567, t, MPFR_RNDN); mpfr_set_d(r22568, l, MPFR_RNDN); mpfr_set_d(r22569, Om, MPFR_RNDN); mpfr_div(r22570, r22569, r22568, MPFR_RNDN); mpfr_div(r22571, r22568, r22570, MPFR_RNDN); mpfr_mul(r22572, r22560, r22571, MPFR_RNDN); mpfr_sub(r22573, r22567, r22572, MPFR_RNDN); mpfr_div(r22574, r22568, r22569, MPFR_RNDN); mpfr_pow(r22575, r22574, r22560, MPFR_RNDN); mpfr_mul(r22576, r22559, r22575, MPFR_RNDN); mpfr_set_d(r22577, U_, MPFR_RNDN); mpfr_sub(r22578, r22562, r22577, MPFR_RNDN); mpfr_mul(r22579, r22576, r22578, MPFR_RNDN); mpfr_sub(r22580, r22573, r22579, MPFR_RNDN); mpfr_mul(r22581, r22562, r22580, MPFR_RNDN); mpfr_mul(r22582, r22566, r22581, MPFR_RNDN); mpfr_sqrt(r22583, r22582, MPFR_RNDN); mpfr_mul(r22584, r22566, r22562, MPFR_RNDN); mpfr_sqrt(r22585, r22584, MPFR_RNDN); mpfr_sqrt(r22586, r22580, MPFR_RNDN); mpfr_mul(r22587, r22585, r22586, MPFR_RNDN); if (mpfr_get_si(r22565, MPFR_RNDN)) { mpfr_set(r22588, r22583, MPFR_RNDN); } else { mpfr_set(r22588, r22587, MPFR_RNDN); }; return mpfr_get_d(r22588, MPFR_RNDN); }