#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 r22388 = 2; float r22389 = n; float r22390 = r22388 * r22389; float r22391 = U; float r22392 = r22390 * r22391; float r22393 = t; float r22394 = l; float r22395 = r22394 * r22394; float r22396 = Om; float r22397 = r22395 / r22396; float r22398 = r22388 * r22397; float r22399 = r22393 - r22398; float r22400 = r22394 / r22396; float r22401 = pow(r22400, r22388); float r22402 = r22389 * r22401; float r22403 = U_; float r22404 = r22391 - r22403; float r22405 = r22402 * r22404; float r22406 = r22399 - r22405; float r22407 = r22392 * r22406; float r22408 = sqrt(r22407); return r22408; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22409 = 2; double r22410 = n; double r22411 = r22409 * r22410; double r22412 = U; double r22413 = r22411 * r22412; double r22414 = t; double r22415 = l; double r22416 = r22415 * r22415; double r22417 = Om; double r22418 = r22416 / r22417; double r22419 = r22409 * r22418; double r22420 = r22414 - r22419; double r22421 = r22415 / r22417; double r22422 = pow(r22421, r22409); double r22423 = r22410 * r22422; double r22424 = U_; double r22425 = r22412 - r22424; double r22426 = r22423 * r22425; double r22427 = r22420 - r22426; double r22428 = r22413 * r22427; double r22429 = sqrt(r22428); return r22429; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22430 = n; float r22431 = 2; float r22432 = r22430 * r22431; float r22433 = U; float r22434 = r22432 * r22433; float r22435 = -4.447176116150656e-299; bool r22436 = r22434 <= r22435; float r22437 = r22431 * r22430; float r22438 = r22437 * r22433; float r22439 = t; float r22440 = l; float r22441 = Om; float r22442 = r22441 / r22440; float r22443 = r22440 / r22442; float r22444 = r22431 * r22443; float r22445 = r22439 - r22444; float r22446 = r22440 / r22441; float r22447 = r22430 * r22446; float r22448 = r22447 * r22446; float r22449 = U_; float r22450 = r22433 - r22449; float r22451 = r22448 * r22450; float r22452 = r22445 - r22451; float r22453 = r22438 * r22452; float r22454 = sqrt(r22453); float r22455 = sqrt(r22454); float r22456 = r22455 * r22455; float r22457 = 4.8656048730087e-316; bool r22458 = r22434 <= r22457; float r22459 = r22433 * r22452; float r22460 = r22437 * r22459; float r22461 = cbrt(r22460); float r22462 = r22461 * r22461; float r22463 = r22462 * r22461; float r22464 = sqrt(r22463); float r22465 = sqrt(r22438); float r22466 = sqrt(r22452); float r22467 = r22465 * r22466; float r22468 = r22458 ? r22464 : r22467; float r22469 = r22436 ? r22456 : r22468; return r22469; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22470 = n; double r22471 = 2; double r22472 = r22470 * r22471; double r22473 = U; double r22474 = r22472 * r22473; double r22475 = -4.447176116150656e-299; bool r22476 = r22474 <= r22475; double r22477 = r22471 * r22470; double r22478 = r22477 * r22473; double r22479 = t; double r22480 = l; double r22481 = Om; double r22482 = r22481 / r22480; double r22483 = r22480 / r22482; double r22484 = r22471 * r22483; double r22485 = r22479 - r22484; double r22486 = r22480 / r22481; double r22487 = r22470 * r22486; double r22488 = r22487 * r22486; double r22489 = U_; double r22490 = r22473 - r22489; double r22491 = r22488 * r22490; double r22492 = r22485 - r22491; double r22493 = r22478 * r22492; double r22494 = sqrt(r22493); double r22495 = sqrt(r22494); double r22496 = r22495 * r22495; double r22497 = 4.8656048730087e-316; bool r22498 = r22474 <= r22497; double r22499 = r22473 * r22492; double r22500 = r22477 * r22499; double r22501 = cbrt(r22500); double r22502 = r22501 * r22501; double r22503 = r22502 * r22501; double r22504 = sqrt(r22503); double r22505 = sqrt(r22478); double r22506 = sqrt(r22492); double r22507 = r22505 * r22506; double r22508 = r22498 ? r22504 : r22507; double r22509 = r22476 ? r22496 : r22508; return r22509; } 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 r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22510, "2", 10, MPFR_RNDN); 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); mpfr_init(r22529); mpfr_init(r22530); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22511, n, MPFR_RNDN); mpfr_mul(r22512, r22510, r22511, MPFR_RNDN); mpfr_set_d(r22513, U, MPFR_RNDN); mpfr_mul(r22514, r22512, r22513, MPFR_RNDN); mpfr_set_d(r22515, t, MPFR_RNDN); mpfr_set_d(r22516, l, MPFR_RNDN); mpfr_mul(r22517, r22516, r22516, MPFR_RNDN); mpfr_set_d(r22518, Om, MPFR_RNDN); mpfr_div(r22519, r22517, r22518, MPFR_RNDN); mpfr_mul(r22520, r22510, r22519, MPFR_RNDN); mpfr_sub(r22521, r22515, r22520, MPFR_RNDN); mpfr_div(r22522, r22516, r22518, MPFR_RNDN); mpfr_pow(r22523, r22522, r22510, MPFR_RNDN); mpfr_mul(r22524, r22511, r22523, MPFR_RNDN); mpfr_set_d(r22525, U_, MPFR_RNDN); mpfr_sub(r22526, r22513, r22525, MPFR_RNDN); mpfr_mul(r22527, r22524, r22526, MPFR_RNDN); mpfr_sub(r22528, r22521, r22527, MPFR_RNDN); mpfr_mul(r22529, r22514, r22528, MPFR_RNDN); mpfr_sqrt(r22530, r22529, MPFR_RNDN); return mpfr_get_d(r22530, MPFR_RNDN); } static mpfr_t 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, r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r22531); mpfr_init_set_str(r22532, "2", 10, MPFR_RNDN); mpfr_init(r22533); mpfr_init(r22534); mpfr_init(r22535); mpfr_init_set_str(r22536, "-4.447176116150656e-299", 10, MPFR_RNDN); 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_set_str(r22558, "4.8656048730087e-316", 10, MPFR_RNDN); mpfr_init(r22559); mpfr_init(r22560); mpfr_init(r22561); mpfr_init(r22562); mpfr_init(r22563); mpfr_init(r22564); mpfr_init(r22565); mpfr_init(r22566); mpfr_init(r22567); mpfr_init(r22568); mpfr_init(r22569); mpfr_init(r22570); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22531, n, MPFR_RNDN); ; mpfr_mul(r22533, r22531, r22532, MPFR_RNDN); mpfr_set_d(r22534, U, MPFR_RNDN); mpfr_mul(r22535, r22533, r22534, MPFR_RNDN); ; mpfr_set_si(r22537, mpfr_cmp(r22535, r22536) <= 0, MPFR_RNDN); mpfr_mul(r22538, r22532, r22531, MPFR_RNDN); mpfr_mul(r22539, r22538, r22534, MPFR_RNDN); mpfr_set_d(r22540, t, MPFR_RNDN); mpfr_set_d(r22541, l, MPFR_RNDN); mpfr_set_d(r22542, Om, MPFR_RNDN); mpfr_div(r22543, r22542, r22541, MPFR_RNDN); mpfr_div(r22544, r22541, r22543, MPFR_RNDN); mpfr_mul(r22545, r22532, r22544, MPFR_RNDN); mpfr_sub(r22546, r22540, r22545, MPFR_RNDN); mpfr_div(r22547, r22541, r22542, MPFR_RNDN); mpfr_mul(r22548, r22531, r22547, MPFR_RNDN); mpfr_mul(r22549, r22548, r22547, MPFR_RNDN); mpfr_set_d(r22550, U_, MPFR_RNDN); mpfr_sub(r22551, r22534, r22550, MPFR_RNDN); mpfr_mul(r22552, r22549, r22551, MPFR_RNDN); mpfr_sub(r22553, r22546, r22552, MPFR_RNDN); mpfr_mul(r22554, r22539, r22553, MPFR_RNDN); mpfr_sqrt(r22555, r22554, MPFR_RNDN); mpfr_sqrt(r22556, r22555, MPFR_RNDN); mpfr_mul(r22557, r22556, r22556, MPFR_RNDN); ; mpfr_set_si(r22559, mpfr_cmp(r22535, r22558) <= 0, MPFR_RNDN); mpfr_mul(r22560, r22534, r22553, MPFR_RNDN); mpfr_mul(r22561, r22538, r22560, MPFR_RNDN); mpfr_cbrt(r22562, r22561, MPFR_RNDN); mpfr_mul(r22563, r22562, r22562, MPFR_RNDN); mpfr_mul(r22564, r22563, r22562, MPFR_RNDN); mpfr_sqrt(r22565, r22564, MPFR_RNDN); mpfr_sqrt(r22566, r22539, MPFR_RNDN); mpfr_sqrt(r22567, r22553, MPFR_RNDN); mpfr_mul(r22568, r22566, r22567, MPFR_RNDN); if (mpfr_get_si(r22559, MPFR_RNDN)) { mpfr_set(r22569, r22565, MPFR_RNDN); } else { mpfr_set(r22569, r22568, MPFR_RNDN); }; if (mpfr_get_si(r22537, MPFR_RNDN)) { mpfr_set(r22570, r22557, MPFR_RNDN); } else { mpfr_set(r22570, r22569, MPFR_RNDN); }; return mpfr_get_d(r22570, MPFR_RNDN); } static mpfr_t r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581, r22582, r22583, r22584, r22585, r22586, r22587, r22588, r22589, r22590, r22591, r22592, r22593, r22594, r22595, r22596, r22597, r22598, r22599, r22600, r22601, r22602, r22603, r22604, r22605, r22606, r22607, r22608, r22609, r22610; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r22571); mpfr_init_set_str(r22572, "2", 10, MPFR_RNDN); mpfr_init(r22573); mpfr_init(r22574); mpfr_init(r22575); mpfr_init_set_str(r22576, "-4.447176116150656e-299", 10, MPFR_RNDN); 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); mpfr_init(r22589); mpfr_init(r22590); mpfr_init(r22591); mpfr_init(r22592); mpfr_init(r22593); mpfr_init(r22594); mpfr_init(r22595); mpfr_init(r22596); mpfr_init(r22597); mpfr_init_set_str(r22598, "4.8656048730087e-316", 10, MPFR_RNDN); mpfr_init(r22599); mpfr_init(r22600); mpfr_init(r22601); mpfr_init(r22602); mpfr_init(r22603); mpfr_init(r22604); mpfr_init(r22605); mpfr_init(r22606); mpfr_init(r22607); mpfr_init(r22608); mpfr_init(r22609); mpfr_init(r22610); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22571, n, MPFR_RNDN); ; mpfr_mul(r22573, r22571, r22572, MPFR_RNDN); mpfr_set_d(r22574, U, MPFR_RNDN); mpfr_mul(r22575, r22573, r22574, MPFR_RNDN); ; mpfr_set_si(r22577, mpfr_cmp(r22575, r22576) <= 0, MPFR_RNDN); mpfr_mul(r22578, r22572, r22571, MPFR_RNDN); mpfr_mul(r22579, r22578, r22574, MPFR_RNDN); mpfr_set_d(r22580, t, MPFR_RNDN); mpfr_set_d(r22581, l, MPFR_RNDN); mpfr_set_d(r22582, Om, MPFR_RNDN); mpfr_div(r22583, r22582, r22581, MPFR_RNDN); mpfr_div(r22584, r22581, r22583, MPFR_RNDN); mpfr_mul(r22585, r22572, r22584, MPFR_RNDN); mpfr_sub(r22586, r22580, r22585, MPFR_RNDN); mpfr_div(r22587, r22581, r22582, MPFR_RNDN); mpfr_mul(r22588, r22571, r22587, MPFR_RNDN); mpfr_mul(r22589, r22588, r22587, MPFR_RNDN); mpfr_set_d(r22590, U_, MPFR_RNDN); mpfr_sub(r22591, r22574, r22590, MPFR_RNDN); mpfr_mul(r22592, r22589, r22591, MPFR_RNDN); mpfr_sub(r22593, r22586, r22592, MPFR_RNDN); mpfr_mul(r22594, r22579, r22593, MPFR_RNDN); mpfr_sqrt(r22595, r22594, MPFR_RNDN); mpfr_sqrt(r22596, r22595, MPFR_RNDN); mpfr_mul(r22597, r22596, r22596, MPFR_RNDN); ; mpfr_set_si(r22599, mpfr_cmp(r22575, r22598) <= 0, MPFR_RNDN); mpfr_mul(r22600, r22574, r22593, MPFR_RNDN); mpfr_mul(r22601, r22578, r22600, MPFR_RNDN); mpfr_cbrt(r22602, r22601, MPFR_RNDN); mpfr_mul(r22603, r22602, r22602, MPFR_RNDN); mpfr_mul(r22604, r22603, r22602, MPFR_RNDN); mpfr_sqrt(r22605, r22604, MPFR_RNDN); mpfr_sqrt(r22606, r22579, MPFR_RNDN); mpfr_sqrt(r22607, r22593, MPFR_RNDN); mpfr_mul(r22608, r22606, r22607, MPFR_RNDN); if (mpfr_get_si(r22599, MPFR_RNDN)) { mpfr_set(r22609, r22605, MPFR_RNDN); } else { mpfr_set(r22609, r22608, MPFR_RNDN); }; if (mpfr_get_si(r22577, MPFR_RNDN)) { mpfr_set(r22610, r22597, MPFR_RNDN); } else { mpfr_set(r22610, r22609, MPFR_RNDN); }; return mpfr_get_d(r22610, MPFR_RNDN); }