#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 r22448 = 2; float r22449 = n; float r22450 = r22448 * r22449; float r22451 = U; float r22452 = r22450 * r22451; float r22453 = t; float r22454 = l; float r22455 = r22454 * r22454; float r22456 = Om; float r22457 = r22455 / r22456; float r22458 = r22448 * r22457; float r22459 = r22453 - r22458; float r22460 = r22454 / r22456; float r22461 = pow(r22460, r22448); float r22462 = r22449 * r22461; float r22463 = U_; float r22464 = r22451 - r22463; float r22465 = r22462 * r22464; float r22466 = r22459 - r22465; float r22467 = r22452 * r22466; float r22468 = sqrt(r22467); return r22468; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22469 = 2; double r22470 = n; double r22471 = r22469 * r22470; double r22472 = U; double r22473 = r22471 * r22472; double r22474 = t; double r22475 = l; double r22476 = r22475 * r22475; double r22477 = Om; double r22478 = r22476 / r22477; double r22479 = r22469 * r22478; double r22480 = r22474 - r22479; double r22481 = r22475 / r22477; double r22482 = pow(r22481, r22469); double r22483 = r22470 * r22482; double r22484 = U_; double r22485 = r22472 - r22484; double r22486 = r22483 * r22485; double r22487 = r22480 - r22486; double r22488 = r22473 * r22487; double r22489 = sqrt(r22488); return r22489; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22490 = 2; float r22491 = n; float r22492 = r22490 * r22491; float r22493 = U; float r22494 = r22492 * r22493; float r22495 = -2.6507172288512e-316; bool r22496 = r22494 <= r22495; float r22497 = r22493 * r22491; float r22498 = r22497 * r22490; float r22499 = l; float r22500 = Om; float r22501 = r22499 / r22500; float r22502 = U_; float r22503 = r22502 - r22493; float r22504 = r22501 * r22491; float r22505 = r22503 * r22504; float r22506 = t; float r22507 = r22499 * r22490; float r22508 = r22507 * r22501; float r22509 = r22506 - r22508; float r22510 = fma(r22501, r22505, r22509); float r22511 = r22498 * r22510; float r22512 = 0; float r22513 = r22512 * r22491; float r22514 = r22493 * r22490; float r22515 = r22513 * r22514; float r22516 = r22511 + r22515; float r22517 = sqrt(r22516); float r22518 = 8.983795389529307e-307; bool r22519 = r22494 <= r22518; float r22520 = r22491 / r22500; float r22521 = r22520 * r22520; float r22522 = r22502 * r22493; float r22523 = r22499 * r22499; float r22524 = r22522 * r22523; float r22525 = r22499 * r22493; float r22526 = r22525 * r22525; float r22527 = r22524 - r22526; float r22528 = r22521 * r22527; float r22529 = r22506 * r22491; float r22530 = r22514 * r22529; float r22531 = fma(r22490, r22528, r22530); float r22532 = sqrt(r22531); float r22533 = sqrt(r22494); float r22534 = r22523 / r22500; float r22535 = r22490 * r22534; float r22536 = r22506 - r22535; float r22537 = pow(r22501, r22490); float r22538 = r22491 * r22537; float r22539 = r22493 - r22502; float r22540 = r22538 * r22539; float r22541 = r22536 - r22540; float r22542 = sqrt(r22541); float r22543 = r22533 * r22542; float r22544 = r22519 ? r22532 : r22543; float r22545 = r22496 ? r22517 : r22544; return r22545; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22546 = 2; double r22547 = n; double r22548 = r22546 * r22547; double r22549 = U; double r22550 = r22548 * r22549; double r22551 = -2.6507172288512e-316; bool r22552 = r22550 <= r22551; double r22553 = r22549 * r22547; double r22554 = r22553 * r22546; double r22555 = l; double r22556 = Om; double r22557 = r22555 / r22556; double r22558 = U_; double r22559 = r22558 - r22549; double r22560 = r22557 * r22547; double r22561 = r22559 * r22560; double r22562 = t; double r22563 = r22555 * r22546; double r22564 = r22563 * r22557; double r22565 = r22562 - r22564; double r22566 = fma(r22557, r22561, r22565); double r22567 = r22554 * r22566; double r22568 = 0; double r22569 = r22568 * r22547; double r22570 = r22549 * r22546; double r22571 = r22569 * r22570; double r22572 = r22567 + r22571; double r22573 = sqrt(r22572); double r22574 = 8.983795389529307e-307; bool r22575 = r22550 <= r22574; double r22576 = r22547 / r22556; double r22577 = r22576 * r22576; double r22578 = r22558 * r22549; double r22579 = r22555 * r22555; double r22580 = r22578 * r22579; double r22581 = r22555 * r22549; double r22582 = r22581 * r22581; double r22583 = r22580 - r22582; double r22584 = r22577 * r22583; double r22585 = r22562 * r22547; double r22586 = r22570 * r22585; double r22587 = fma(r22546, r22584, r22586); double r22588 = sqrt(r22587); double r22589 = sqrt(r22550); double r22590 = r22579 / r22556; double r22591 = r22546 * r22590; double r22592 = r22562 - r22591; double r22593 = pow(r22557, r22546); double r22594 = r22547 * r22593; double r22595 = r22549 - r22558; double r22596 = r22594 * r22595; double r22597 = r22592 - r22596; double r22598 = sqrt(r22597); double r22599 = r22589 * r22598; double r22600 = r22575 ? r22588 : r22599; double r22601 = r22552 ? r22573 : r22600; return r22601; } 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 r22602, r22603, r22604, r22605, r22606, r22607, r22608, r22609, r22610, r22611, r22612, r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r22602, "2", 10, MPFR_RNDN); mpfr_init(r22603); mpfr_init(r22604); mpfr_init(r22605); mpfr_init(r22606); mpfr_init(r22607); mpfr_init(r22608); 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); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22603, n, MPFR_RNDN); mpfr_mul(r22604, r22602, r22603, MPFR_RNDN); mpfr_set_d(r22605, U, MPFR_RNDN); mpfr_mul(r22606, r22604, r22605, MPFR_RNDN); mpfr_set_d(r22607, t, MPFR_RNDN); mpfr_set_d(r22608, l, MPFR_RNDN); mpfr_mul(r22609, r22608, r22608, MPFR_RNDN); mpfr_set_d(r22610, Om, MPFR_RNDN); mpfr_div(r22611, r22609, r22610, MPFR_RNDN); mpfr_mul(r22612, r22602, r22611, MPFR_RNDN); mpfr_sub(r22613, r22607, r22612, MPFR_RNDN); mpfr_div(r22614, r22608, r22610, MPFR_RNDN); mpfr_pow(r22615, r22614, r22602, MPFR_RNDN); mpfr_mul(r22616, r22603, r22615, MPFR_RNDN); mpfr_set_d(r22617, U_, MPFR_RNDN); mpfr_sub(r22618, r22605, r22617, MPFR_RNDN); mpfr_mul(r22619, r22616, r22618, MPFR_RNDN); mpfr_sub(r22620, r22613, r22619, MPFR_RNDN); mpfr_mul(r22621, r22606, r22620, MPFR_RNDN); mpfr_sqrt(r22622, r22621, MPFR_RNDN); return mpfr_get_d(r22622, MPFR_RNDN); } static mpfr_t r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22623, "2", 10, MPFR_RNDN); mpfr_init(r22624); mpfr_init(r22625); mpfr_init(r22626); mpfr_init(r22627); mpfr_init_set_str(r22628, "-2.6507172288512e-316", 10, MPFR_RNDN); 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); mpfr_init(r22639); mpfr_init(r22640); mpfr_init(r22641); mpfr_init(r22642); mpfr_init(r22643); mpfr_init(r22644); mpfr_init_set_str(r22645, "0", 10, MPFR_RNDN); mpfr_init(r22646); mpfr_init(r22647); mpfr_init(r22648); mpfr_init(r22649); mpfr_init(r22650); mpfr_init_set_str(r22651, "8.983795389529307e-307", 10, MPFR_RNDN); 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(r22661); mpfr_init(r22662); mpfr_init(r22663); mpfr_init(r22664); mpfr_init(r22665); mpfr_init(r22666); mpfr_init(r22667); 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); } double f_fm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22624, n, MPFR_RNDN); mpfr_mul(r22625, r22623, r22624, MPFR_RNDN); mpfr_set_d(r22626, U, MPFR_RNDN); mpfr_mul(r22627, r22625, r22626, MPFR_RNDN); ; mpfr_set_si(r22629, mpfr_cmp(r22627, r22628) <= 0, MPFR_RNDN); mpfr_mul(r22630, r22626, r22624, MPFR_RNDN); mpfr_mul(r22631, r22630, r22623, MPFR_RNDN); mpfr_set_d(r22632, l, MPFR_RNDN); mpfr_set_d(r22633, Om, MPFR_RNDN); mpfr_div(r22634, r22632, r22633, MPFR_RNDN); mpfr_set_d(r22635, U_, MPFR_RNDN); mpfr_sub(r22636, r22635, r22626, MPFR_RNDN); mpfr_mul(r22637, r22634, r22624, MPFR_RNDN); mpfr_mul(r22638, r22636, r22637, MPFR_RNDN); mpfr_set_d(r22639, t, MPFR_RNDN); mpfr_mul(r22640, r22632, r22623, MPFR_RNDN); mpfr_mul(r22641, r22640, r22634, MPFR_RNDN); mpfr_sub(r22642, r22639, r22641, MPFR_RNDN); mpfr_fma(r22643, r22634, r22638, r22642, MPFR_RNDN); mpfr_mul(r22644, r22631, r22643, MPFR_RNDN); ; mpfr_mul(r22646, r22645, r22624, MPFR_RNDN); mpfr_mul(r22647, r22626, r22623, MPFR_RNDN); mpfr_mul(r22648, r22646, r22647, MPFR_RNDN); mpfr_add(r22649, r22644, r22648, MPFR_RNDN); mpfr_sqrt(r22650, r22649, MPFR_RNDN); ; mpfr_set_si(r22652, mpfr_cmp(r22627, r22651) <= 0, MPFR_RNDN); mpfr_div(r22653, r22624, r22633, MPFR_RNDN); mpfr_mul(r22654, r22653, r22653, MPFR_RNDN); mpfr_mul(r22655, r22635, r22626, MPFR_RNDN); mpfr_mul(r22656, r22632, r22632, MPFR_RNDN); mpfr_mul(r22657, r22655, r22656, MPFR_RNDN); mpfr_mul(r22658, r22632, r22626, MPFR_RNDN); mpfr_mul(r22659, r22658, r22658, MPFR_RNDN); mpfr_sub(r22660, r22657, r22659, MPFR_RNDN); mpfr_mul(r22661, r22654, r22660, MPFR_RNDN); mpfr_mul(r22662, r22639, r22624, MPFR_RNDN); mpfr_mul(r22663, r22647, r22662, MPFR_RNDN); mpfr_fma(r22664, r22623, r22661, r22663, MPFR_RNDN); mpfr_sqrt(r22665, r22664, MPFR_RNDN); mpfr_sqrt(r22666, r22627, MPFR_RNDN); mpfr_div(r22667, r22656, r22633, MPFR_RNDN); mpfr_mul(r22668, r22623, r22667, MPFR_RNDN); mpfr_sub(r22669, r22639, r22668, MPFR_RNDN); mpfr_pow(r22670, r22634, r22623, MPFR_RNDN); mpfr_mul(r22671, r22624, r22670, MPFR_RNDN); mpfr_sub(r22672, r22626, r22635, MPFR_RNDN); mpfr_mul(r22673, r22671, r22672, MPFR_RNDN); mpfr_sub(r22674, r22669, r22673, MPFR_RNDN); mpfr_sqrt(r22675, r22674, MPFR_RNDN); mpfr_mul(r22676, r22666, r22675, MPFR_RNDN); if (mpfr_get_si(r22652, MPFR_RNDN)) { mpfr_set(r22677, r22665, MPFR_RNDN); } else { mpfr_set(r22677, r22676, MPFR_RNDN); }; if (mpfr_get_si(r22629, MPFR_RNDN)) { mpfr_set(r22678, r22650, MPFR_RNDN); } else { mpfr_set(r22678, r22677, MPFR_RNDN); }; return mpfr_get_d(r22678, MPFR_RNDN); } static mpfr_t r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init_set_str(r22679, "2", 10, MPFR_RNDN); mpfr_init(r22680); mpfr_init(r22681); mpfr_init(r22682); mpfr_init(r22683); mpfr_init_set_str(r22684, "-2.6507172288512e-316", 10, MPFR_RNDN); 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); mpfr_init(r22698); mpfr_init(r22699); mpfr_init(r22700); mpfr_init_set_str(r22701, "0", 10, MPFR_RNDN); mpfr_init(r22702); mpfr_init(r22703); mpfr_init(r22704); mpfr_init(r22705); mpfr_init(r22706); mpfr_init_set_str(r22707, "8.983795389529307e-307", 10, MPFR_RNDN); mpfr_init(r22708); mpfr_init(r22709); mpfr_init(r22710); mpfr_init(r22711); mpfr_init(r22712); mpfr_init(r22713); mpfr_init(r22714); mpfr_init(r22715); mpfr_init(r22716); mpfr_init(r22717); mpfr_init(r22718); mpfr_init(r22719); mpfr_init(r22720); mpfr_init(r22721); mpfr_init(r22722); mpfr_init(r22723); mpfr_init(r22724); mpfr_init(r22725); mpfr_init(r22726); mpfr_init(r22727); mpfr_init(r22728); mpfr_init(r22729); mpfr_init(r22730); mpfr_init(r22731); mpfr_init(r22732); mpfr_init(r22733); mpfr_init(r22734); } double f_dm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22680, n, MPFR_RNDN); mpfr_mul(r22681, r22679, r22680, MPFR_RNDN); mpfr_set_d(r22682, U, MPFR_RNDN); mpfr_mul(r22683, r22681, r22682, MPFR_RNDN); ; mpfr_set_si(r22685, mpfr_cmp(r22683, r22684) <= 0, MPFR_RNDN); mpfr_mul(r22686, r22682, r22680, MPFR_RNDN); mpfr_mul(r22687, r22686, r22679, MPFR_RNDN); mpfr_set_d(r22688, l, MPFR_RNDN); mpfr_set_d(r22689, Om, MPFR_RNDN); mpfr_div(r22690, r22688, r22689, MPFR_RNDN); mpfr_set_d(r22691, U_, MPFR_RNDN); mpfr_sub(r22692, r22691, r22682, MPFR_RNDN); mpfr_mul(r22693, r22690, r22680, MPFR_RNDN); mpfr_mul(r22694, r22692, r22693, MPFR_RNDN); mpfr_set_d(r22695, t, MPFR_RNDN); mpfr_mul(r22696, r22688, r22679, MPFR_RNDN); mpfr_mul(r22697, r22696, r22690, MPFR_RNDN); mpfr_sub(r22698, r22695, r22697, MPFR_RNDN); mpfr_fma(r22699, r22690, r22694, r22698, MPFR_RNDN); mpfr_mul(r22700, r22687, r22699, MPFR_RNDN); ; mpfr_mul(r22702, r22701, r22680, MPFR_RNDN); mpfr_mul(r22703, r22682, r22679, MPFR_RNDN); mpfr_mul(r22704, r22702, r22703, MPFR_RNDN); mpfr_add(r22705, r22700, r22704, MPFR_RNDN); mpfr_sqrt(r22706, r22705, MPFR_RNDN); ; mpfr_set_si(r22708, mpfr_cmp(r22683, r22707) <= 0, MPFR_RNDN); mpfr_div(r22709, r22680, r22689, MPFR_RNDN); mpfr_mul(r22710, r22709, r22709, MPFR_RNDN); mpfr_mul(r22711, r22691, r22682, MPFR_RNDN); mpfr_mul(r22712, r22688, r22688, MPFR_RNDN); mpfr_mul(r22713, r22711, r22712, MPFR_RNDN); mpfr_mul(r22714, r22688, r22682, MPFR_RNDN); mpfr_mul(r22715, r22714, r22714, MPFR_RNDN); mpfr_sub(r22716, r22713, r22715, MPFR_RNDN); mpfr_mul(r22717, r22710, r22716, MPFR_RNDN); mpfr_mul(r22718, r22695, r22680, MPFR_RNDN); mpfr_mul(r22719, r22703, r22718, MPFR_RNDN); mpfr_fma(r22720, r22679, r22717, r22719, MPFR_RNDN); mpfr_sqrt(r22721, r22720, MPFR_RNDN); mpfr_sqrt(r22722, r22683, MPFR_RNDN); mpfr_div(r22723, r22712, r22689, MPFR_RNDN); mpfr_mul(r22724, r22679, r22723, MPFR_RNDN); mpfr_sub(r22725, r22695, r22724, MPFR_RNDN); mpfr_pow(r22726, r22690, r22679, MPFR_RNDN); mpfr_mul(r22727, r22680, r22726, MPFR_RNDN); mpfr_sub(r22728, r22682, r22691, MPFR_RNDN); mpfr_mul(r22729, r22727, r22728, MPFR_RNDN); mpfr_sub(r22730, r22725, r22729, MPFR_RNDN); mpfr_sqrt(r22731, r22730, MPFR_RNDN); mpfr_mul(r22732, r22722, r22731, MPFR_RNDN); if (mpfr_get_si(r22708, MPFR_RNDN)) { mpfr_set(r22733, r22721, MPFR_RNDN); } else { mpfr_set(r22733, r22732, MPFR_RNDN); }; if (mpfr_get_si(r22685, MPFR_RNDN)) { mpfr_set(r22734, r22706, MPFR_RNDN); } else { mpfr_set(r22734, r22733, MPFR_RNDN); }; return mpfr_get_d(r22734, MPFR_RNDN); }