#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 r22399 = 2; float r22400 = n; float r22401 = r22399 * r22400; float r22402 = U; float r22403 = r22401 * r22402; float r22404 = t; float r22405 = l; float r22406 = r22405 * r22405; float r22407 = Om; float r22408 = r22406 / r22407; float r22409 = r22399 * r22408; float r22410 = r22404 - r22409; float r22411 = r22405 / r22407; float r22412 = pow(r22411, r22399); float r22413 = r22400 * r22412; float r22414 = U_; float r22415 = r22402 - r22414; float r22416 = r22413 * r22415; float r22417 = r22410 - r22416; float r22418 = r22403 * r22417; float r22419 = sqrt(r22418); return r22419; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22420 = 2; double r22421 = n; double r22422 = r22420 * r22421; double r22423 = U; double r22424 = r22422 * r22423; double r22425 = t; double r22426 = l; double r22427 = r22426 * r22426; double r22428 = Om; double r22429 = r22427 / r22428; double r22430 = r22420 * r22429; double r22431 = r22425 - r22430; double r22432 = r22426 / r22428; double r22433 = pow(r22432, r22420); double r22434 = r22421 * r22433; double r22435 = U_; double r22436 = r22423 - r22435; double r22437 = r22434 * r22436; double r22438 = r22431 - r22437; double r22439 = r22424 * r22438; double r22440 = sqrt(r22439); return r22440; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22441 = U; float r22442 = 2; float r22443 = r22441 * r22442; float r22444 = n; float r22445 = r22443 * r22444; float r22446 = -3.0632070042157e-322; bool r22447 = r22445 <= r22446; float r22448 = r22441 * r22444; float r22449 = r22448 * r22442; float r22450 = l; float r22451 = Om; float r22452 = r22450 / r22451; float r22453 = U_; float r22454 = r22453 - r22441; float r22455 = r22452 * r22444; float r22456 = r22454 * r22455; float r22457 = t; float r22458 = r22450 * r22442; float r22459 = r22458 * r22452; float r22460 = r22457 - r22459; float r22461 = fma(r22452, r22456, r22460); float r22462 = r22449 * r22461; float r22463 = 0; float r22464 = r22463 * r22444; float r22465 = r22464 * r22443; float r22466 = r22462 + r22465; float r22467 = 1/2; float r22468 = pow(r22466, r22467); float r22469 = 0.0; bool r22470 = r22445 <= r22469; float r22471 = r22444 / r22451; float r22472 = r22471 * r22471; float r22473 = r22453 * r22450; float r22474 = r22450 * r22441; float r22475 = r22473 * r22474; float r22476 = r22474 * r22474; float r22477 = r22475 - r22476; float r22478 = r22472 * r22477; float r22479 = r22457 * r22441; float r22480 = r22444 * r22442; float r22481 = r22479 * r22480; float r22482 = fma(r22442, r22478, r22481); float r22483 = sqrt(r22482); float r22484 = r22442 * r22444; float r22485 = r22484 * r22441; float r22486 = sqrt(r22485); float r22487 = r22450 * r22450; float r22488 = r22487 / r22451; float r22489 = r22442 * r22488; float r22490 = r22457 - r22489; float r22491 = pow(r22452, r22442); float r22492 = r22444 * r22491; float r22493 = r22441 - r22453; float r22494 = r22492 * r22493; float r22495 = r22490 - r22494; float r22496 = sqrt(r22495); float r22497 = r22486 * r22496; float r22498 = r22470 ? r22483 : r22497; float r22499 = r22447 ? r22468 : r22498; return r22499; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22500 = U; double r22501 = 2; double r22502 = r22500 * r22501; double r22503 = n; double r22504 = r22502 * r22503; double r22505 = -3.0632070042157e-322; bool r22506 = r22504 <= r22505; double r22507 = r22500 * r22503; double r22508 = r22507 * r22501; double r22509 = l; double r22510 = Om; double r22511 = r22509 / r22510; double r22512 = U_; double r22513 = r22512 - r22500; double r22514 = r22511 * r22503; double r22515 = r22513 * r22514; double r22516 = t; double r22517 = r22509 * r22501; double r22518 = r22517 * r22511; double r22519 = r22516 - r22518; double r22520 = fma(r22511, r22515, r22519); double r22521 = r22508 * r22520; double r22522 = 0; double r22523 = r22522 * r22503; double r22524 = r22523 * r22502; double r22525 = r22521 + r22524; double r22526 = 1/2; double r22527 = pow(r22525, r22526); double r22528 = 0.0; bool r22529 = r22504 <= r22528; double r22530 = r22503 / r22510; double r22531 = r22530 * r22530; double r22532 = r22512 * r22509; double r22533 = r22509 * r22500; double r22534 = r22532 * r22533; double r22535 = r22533 * r22533; double r22536 = r22534 - r22535; double r22537 = r22531 * r22536; double r22538 = r22516 * r22500; double r22539 = r22503 * r22501; double r22540 = r22538 * r22539; double r22541 = fma(r22501, r22537, r22540); double r22542 = sqrt(r22541); double r22543 = r22501 * r22503; double r22544 = r22543 * r22500; double r22545 = sqrt(r22544); double r22546 = r22509 * r22509; double r22547 = r22546 / r22510; double r22548 = r22501 * r22547; double r22549 = r22516 - r22548; double r22550 = pow(r22511, r22501); double r22551 = r22503 * r22550; double r22552 = r22500 - r22512; double r22553 = r22551 * r22552; double r22554 = r22549 - r22553; double r22555 = sqrt(r22554); double r22556 = r22545 * r22555; double r22557 = r22529 ? r22542 : r22556; double r22558 = r22506 ? r22527 : r22557; return r22558; } 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 r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22559, "2", 10, MPFR_RNDN); 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); 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); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22560, 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_d(r22564, t, MPFR_RNDN); mpfr_set_d(r22565, l, MPFR_RNDN); mpfr_mul(r22566, r22565, r22565, MPFR_RNDN); mpfr_set_d(r22567, Om, MPFR_RNDN); mpfr_div(r22568, r22566, r22567, MPFR_RNDN); mpfr_mul(r22569, r22559, r22568, MPFR_RNDN); mpfr_sub(r22570, r22564, r22569, MPFR_RNDN); mpfr_div(r22571, r22565, r22567, MPFR_RNDN); mpfr_pow(r22572, r22571, r22559, MPFR_RNDN); mpfr_mul(r22573, r22560, r22572, MPFR_RNDN); mpfr_set_d(r22574, U_, MPFR_RNDN); mpfr_sub(r22575, r22562, r22574, MPFR_RNDN); mpfr_mul(r22576, r22573, r22575, MPFR_RNDN); mpfr_sub(r22577, r22570, r22576, MPFR_RNDN); mpfr_mul(r22578, r22563, r22577, MPFR_RNDN); mpfr_sqrt(r22579, r22578, MPFR_RNDN); return mpfr_get_d(r22579, MPFR_RNDN); } static mpfr_t 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, r22611, r22612, r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r22580); mpfr_init_set_str(r22581, "2", 10, MPFR_RNDN); mpfr_init(r22582); mpfr_init(r22583); mpfr_init(r22584); mpfr_init_set_str(r22585, "-3.0632070042157e-322", 10, MPFR_RNDN); 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(r22598); mpfr_init(r22599); mpfr_init(r22600); mpfr_init(r22601); mpfr_init_set_str(r22602, "0", 10, MPFR_RNDN); mpfr_init(r22603); mpfr_init(r22604); mpfr_init(r22605); mpfr_init_set_str(r22606, "1/2", 10, MPFR_RNDN); mpfr_init(r22607); mpfr_init_set_str(r22608, "0.0", 10, MPFR_RNDN); mpfr_init(r22609); mpfr_init(r22610); mpfr_init(r22611); mpfr_init(r22612); mpfr_init(r22613); mpfr_init(r22614); mpfr_init(r22615); mpfr_init(r22616); mpfr_init(r22617); mpfr_init(r22618); mpfr_init(r22619); mpfr_init(r22620); mpfr_init(r22621); mpfr_init(r22622); mpfr_init(r22623); mpfr_init(r22624); mpfr_init(r22625); mpfr_init(r22626); mpfr_init(r22627); mpfr_init(r22628); mpfr_init(r22629); mpfr_init(r22630); mpfr_init(r22631); mpfr_init(r22632); mpfr_init(r22633); mpfr_init(r22634); mpfr_init(r22635); mpfr_init(r22636); mpfr_init(r22637); mpfr_init(r22638); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22580, U, MPFR_RNDN); ; mpfr_mul(r22582, r22580, r22581, MPFR_RNDN); mpfr_set_d(r22583, n, MPFR_RNDN); mpfr_mul(r22584, r22582, r22583, MPFR_RNDN); ; mpfr_set_si(r22586, mpfr_cmp(r22584, r22585) <= 0, MPFR_RNDN); mpfr_mul(r22587, r22580, r22583, MPFR_RNDN); mpfr_mul(r22588, r22587, r22581, MPFR_RNDN); mpfr_set_d(r22589, l, MPFR_RNDN); mpfr_set_d(r22590, Om, MPFR_RNDN); mpfr_div(r22591, r22589, r22590, MPFR_RNDN); mpfr_set_d(r22592, U_, MPFR_RNDN); mpfr_sub(r22593, r22592, r22580, MPFR_RNDN); mpfr_mul(r22594, r22591, r22583, MPFR_RNDN); mpfr_mul(r22595, r22593, r22594, MPFR_RNDN); mpfr_set_d(r22596, t, MPFR_RNDN); mpfr_mul(r22597, r22589, r22581, MPFR_RNDN); mpfr_mul(r22598, r22597, r22591, MPFR_RNDN); mpfr_sub(r22599, r22596, r22598, MPFR_RNDN); mpfr_fma(r22600, r22591, r22595, r22599, MPFR_RNDN); mpfr_mul(r22601, r22588, r22600, MPFR_RNDN); ; mpfr_mul(r22603, r22602, r22583, MPFR_RNDN); mpfr_mul(r22604, r22603, r22582, MPFR_RNDN); mpfr_add(r22605, r22601, r22604, MPFR_RNDN); ; mpfr_pow(r22607, r22605, r22606, MPFR_RNDN); ; mpfr_set_si(r22609, mpfr_cmp(r22584, r22608) <= 0, MPFR_RNDN); mpfr_div(r22610, r22583, r22590, MPFR_RNDN); mpfr_mul(r22611, r22610, r22610, MPFR_RNDN); mpfr_mul(r22612, r22592, r22589, MPFR_RNDN); mpfr_mul(r22613, r22589, r22580, MPFR_RNDN); mpfr_mul(r22614, r22612, r22613, MPFR_RNDN); mpfr_mul(r22615, r22613, r22613, MPFR_RNDN); mpfr_sub(r22616, r22614, r22615, MPFR_RNDN); mpfr_mul(r22617, r22611, r22616, MPFR_RNDN); mpfr_mul(r22618, r22596, r22580, MPFR_RNDN); mpfr_mul(r22619, r22583, r22581, MPFR_RNDN); mpfr_mul(r22620, r22618, r22619, MPFR_RNDN); mpfr_fma(r22621, r22581, r22617, r22620, MPFR_RNDN); mpfr_sqrt(r22622, r22621, MPFR_RNDN); mpfr_mul(r22623, r22581, r22583, MPFR_RNDN); mpfr_mul(r22624, r22623, r22580, MPFR_RNDN); mpfr_sqrt(r22625, r22624, MPFR_RNDN); mpfr_mul(r22626, r22589, r22589, MPFR_RNDN); mpfr_div(r22627, r22626, r22590, MPFR_RNDN); mpfr_mul(r22628, r22581, r22627, MPFR_RNDN); mpfr_sub(r22629, r22596, r22628, MPFR_RNDN); mpfr_pow(r22630, r22591, r22581, MPFR_RNDN); mpfr_mul(r22631, r22583, r22630, MPFR_RNDN); mpfr_sub(r22632, r22580, r22592, MPFR_RNDN); mpfr_mul(r22633, r22631, r22632, MPFR_RNDN); mpfr_sub(r22634, r22629, r22633, MPFR_RNDN); mpfr_sqrt(r22635, r22634, MPFR_RNDN); mpfr_mul(r22636, r22625, r22635, MPFR_RNDN); if (mpfr_get_si(r22609, MPFR_RNDN)) { mpfr_set(r22637, r22622, MPFR_RNDN); } else { mpfr_set(r22637, r22636, MPFR_RNDN); }; if (mpfr_get_si(r22586, MPFR_RNDN)) { mpfr_set(r22638, r22607, MPFR_RNDN); } else { mpfr_set(r22638, r22637, MPFR_RNDN); }; return mpfr_get_d(r22638, MPFR_RNDN); } static mpfr_t r22639, r22640, r22641, r22642, r22643, r22644, r22645, r22646, r22647, r22648, r22649, r22650, r22651, r22652, r22653, r22654, r22655, r22656, r22657, r22658, r22659, r22660, r22661, r22662, r22663, r22664, r22665, r22666, r22667, r22668, r22669, r22670, r22671, r22672, r22673, r22674, r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r22639); mpfr_init_set_str(r22640, "2", 10, MPFR_RNDN); mpfr_init(r22641); mpfr_init(r22642); mpfr_init(r22643); mpfr_init_set_str(r22644, "-3.0632070042157e-322", 10, MPFR_RNDN); mpfr_init(r22645); mpfr_init(r22646); mpfr_init(r22647); mpfr_init(r22648); mpfr_init(r22649); mpfr_init(r22650); mpfr_init(r22651); mpfr_init(r22652); mpfr_init(r22653); mpfr_init(r22654); mpfr_init(r22655); mpfr_init(r22656); mpfr_init(r22657); mpfr_init(r22658); mpfr_init(r22659); mpfr_init(r22660); mpfr_init_set_str(r22661, "0", 10, MPFR_RNDN); mpfr_init(r22662); mpfr_init(r22663); mpfr_init(r22664); mpfr_init_set_str(r22665, "1/2", 10, MPFR_RNDN); mpfr_init(r22666); mpfr_init_set_str(r22667, "0.0", 10, MPFR_RNDN); mpfr_init(r22668); mpfr_init(r22669); mpfr_init(r22670); mpfr_init(r22671); mpfr_init(r22672); mpfr_init(r22673); mpfr_init(r22674); mpfr_init(r22675); mpfr_init(r22676); mpfr_init(r22677); mpfr_init(r22678); mpfr_init(r22679); mpfr_init(r22680); mpfr_init(r22681); mpfr_init(r22682); mpfr_init(r22683); mpfr_init(r22684); mpfr_init(r22685); mpfr_init(r22686); mpfr_init(r22687); mpfr_init(r22688); mpfr_init(r22689); mpfr_init(r22690); mpfr_init(r22691); mpfr_init(r22692); mpfr_init(r22693); mpfr_init(r22694); mpfr_init(r22695); mpfr_init(r22696); mpfr_init(r22697); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22639, U, MPFR_RNDN); ; mpfr_mul(r22641, r22639, r22640, MPFR_RNDN); mpfr_set_d(r22642, n, MPFR_RNDN); mpfr_mul(r22643, r22641, r22642, MPFR_RNDN); ; mpfr_set_si(r22645, mpfr_cmp(r22643, r22644) <= 0, MPFR_RNDN); mpfr_mul(r22646, r22639, r22642, MPFR_RNDN); mpfr_mul(r22647, r22646, r22640, MPFR_RNDN); mpfr_set_d(r22648, l, MPFR_RNDN); mpfr_set_d(r22649, Om, MPFR_RNDN); mpfr_div(r22650, r22648, r22649, MPFR_RNDN); mpfr_set_d(r22651, U_, MPFR_RNDN); mpfr_sub(r22652, r22651, r22639, MPFR_RNDN); mpfr_mul(r22653, r22650, r22642, MPFR_RNDN); mpfr_mul(r22654, r22652, r22653, MPFR_RNDN); mpfr_set_d(r22655, t, MPFR_RNDN); mpfr_mul(r22656, r22648, r22640, MPFR_RNDN); mpfr_mul(r22657, r22656, r22650, MPFR_RNDN); mpfr_sub(r22658, r22655, r22657, MPFR_RNDN); mpfr_fma(r22659, r22650, r22654, r22658, MPFR_RNDN); mpfr_mul(r22660, r22647, r22659, MPFR_RNDN); ; mpfr_mul(r22662, r22661, r22642, MPFR_RNDN); mpfr_mul(r22663, r22662, r22641, MPFR_RNDN); mpfr_add(r22664, r22660, r22663, MPFR_RNDN); ; mpfr_pow(r22666, r22664, r22665, MPFR_RNDN); ; mpfr_set_si(r22668, mpfr_cmp(r22643, r22667) <= 0, MPFR_RNDN); mpfr_div(r22669, r22642, r22649, MPFR_RNDN); mpfr_mul(r22670, r22669, r22669, MPFR_RNDN); mpfr_mul(r22671, r22651, r22648, MPFR_RNDN); mpfr_mul(r22672, r22648, r22639, MPFR_RNDN); mpfr_mul(r22673, r22671, r22672, MPFR_RNDN); mpfr_mul(r22674, r22672, r22672, MPFR_RNDN); mpfr_sub(r22675, r22673, r22674, MPFR_RNDN); mpfr_mul(r22676, r22670, r22675, MPFR_RNDN); mpfr_mul(r22677, r22655, r22639, MPFR_RNDN); mpfr_mul(r22678, r22642, r22640, MPFR_RNDN); mpfr_mul(r22679, r22677, r22678, MPFR_RNDN); mpfr_fma(r22680, r22640, r22676, r22679, MPFR_RNDN); mpfr_sqrt(r22681, r22680, MPFR_RNDN); mpfr_mul(r22682, r22640, r22642, MPFR_RNDN); mpfr_mul(r22683, r22682, r22639, MPFR_RNDN); mpfr_sqrt(r22684, r22683, MPFR_RNDN); mpfr_mul(r22685, r22648, r22648, MPFR_RNDN); mpfr_div(r22686, r22685, r22649, MPFR_RNDN); mpfr_mul(r22687, r22640, r22686, MPFR_RNDN); mpfr_sub(r22688, r22655, r22687, MPFR_RNDN); mpfr_pow(r22689, r22650, r22640, MPFR_RNDN); mpfr_mul(r22690, r22642, r22689, MPFR_RNDN); mpfr_sub(r22691, r22639, r22651, MPFR_RNDN); mpfr_mul(r22692, r22690, r22691, MPFR_RNDN); mpfr_sub(r22693, r22688, r22692, MPFR_RNDN); mpfr_sqrt(r22694, r22693, MPFR_RNDN); mpfr_mul(r22695, r22684, r22694, MPFR_RNDN); if (mpfr_get_si(r22668, MPFR_RNDN)) { mpfr_set(r22696, r22681, MPFR_RNDN); } else { mpfr_set(r22696, r22695, MPFR_RNDN); }; if (mpfr_get_si(r22645, MPFR_RNDN)) { mpfr_set(r22697, r22666, MPFR_RNDN); } else { mpfr_set(r22697, r22696, MPFR_RNDN); }; return mpfr_get_d(r22697, MPFR_RNDN); }