#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 r22461 = 2; float r22462 = n; float r22463 = r22461 * r22462; float r22464 = U; float r22465 = r22463 * r22464; float r22466 = t; float r22467 = l; float r22468 = r22467 * r22467; float r22469 = Om; float r22470 = r22468 / r22469; float r22471 = r22461 * r22470; float r22472 = r22466 - r22471; float r22473 = r22467 / r22469; float r22474 = pow(r22473, r22461); float r22475 = r22462 * r22474; float r22476 = U_; float r22477 = r22464 - r22476; float r22478 = r22475 * r22477; float r22479 = r22472 - r22478; float r22480 = r22465 * r22479; float r22481 = sqrt(r22480); return r22481; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22482 = 2; double r22483 = n; double r22484 = r22482 * r22483; double r22485 = U; double r22486 = r22484 * r22485; double r22487 = t; double r22488 = l; double r22489 = r22488 * r22488; double r22490 = Om; double r22491 = r22489 / r22490; double r22492 = r22482 * r22491; double r22493 = r22487 - r22492; double r22494 = r22488 / r22490; double r22495 = pow(r22494, r22482); double r22496 = r22483 * r22495; double r22497 = U_; double r22498 = r22485 - r22497; double r22499 = r22496 * r22498; double r22500 = r22493 - r22499; double r22501 = r22486 * r22500; double r22502 = sqrt(r22501); return r22502; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22503 = U; float r22504 = 2; float r22505 = r22503 * r22504; float r22506 = n; float r22507 = r22505 * r22506; float r22508 = -3.5100745589098e-318; bool r22509 = r22507 <= r22508; float r22510 = r22503 * r22506; float r22511 = r22510 * r22504; float r22512 = l; float r22513 = Om; float r22514 = r22512 / r22513; float r22515 = U_; float r22516 = r22515 - r22503; float r22517 = r22514 * r22506; float r22518 = r22516 * r22517; float r22519 = t; float r22520 = r22512 * r22504; float r22521 = r22520 * r22514; float r22522 = r22519 - r22521; float r22523 = fma(r22514, r22518, r22522); float r22524 = r22511 * r22523; float r22525 = 0; float r22526 = r22525 * r22506; float r22527 = r22526 * r22505; float r22528 = r22524 + r22527; float r22529 = 1/2; float r22530 = pow(r22528, r22529); float r22531 = 3.8760438047537e-319; bool r22532 = r22507 <= r22531; float r22533 = r22506 / r22513; float r22534 = r22533 * r22533; float r22535 = r22515 * r22503; float r22536 = r22512 * r22512; float r22537 = r22535 * r22536; float r22538 = r22512 * r22503; float r22539 = r22538 * r22538; float r22540 = r22537 - r22539; float r22541 = r22534 * r22540; float r22542 = r22519 * r22506; float r22543 = r22505 * r22542; float r22544 = fma(r22504, r22541, r22543); float r22545 = sqrt(r22544); float r22546 = r22504 * r22506; float r22547 = r22546 * r22503; float r22548 = sqrt(r22547); float r22549 = r22536 / r22513; float r22550 = r22504 * r22549; float r22551 = r22519 - r22550; float r22552 = pow(r22514, r22504); float r22553 = r22506 * r22552; float r22554 = r22503 - r22515; float r22555 = r22553 * r22554; float r22556 = r22551 - r22555; float r22557 = sqrt(r22556); float r22558 = r22548 * r22557; float r22559 = r22532 ? r22545 : r22558; float r22560 = r22509 ? r22530 : r22559; return r22560; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22561 = U; double r22562 = 2; double r22563 = r22561 * r22562; double r22564 = n; double r22565 = r22563 * r22564; double r22566 = -3.5100745589098e-318; bool r22567 = r22565 <= r22566; double r22568 = r22561 * r22564; double r22569 = r22568 * r22562; double r22570 = l; double r22571 = Om; double r22572 = r22570 / r22571; double r22573 = U_; double r22574 = r22573 - r22561; double r22575 = r22572 * r22564; double r22576 = r22574 * r22575; double r22577 = t; double r22578 = r22570 * r22562; double r22579 = r22578 * r22572; double r22580 = r22577 - r22579; double r22581 = fma(r22572, r22576, r22580); double r22582 = r22569 * r22581; double r22583 = 0; double r22584 = r22583 * r22564; double r22585 = r22584 * r22563; double r22586 = r22582 + r22585; double r22587 = 1/2; double r22588 = pow(r22586, r22587); double r22589 = 3.8760438047537e-319; bool r22590 = r22565 <= r22589; double r22591 = r22564 / r22571; double r22592 = r22591 * r22591; double r22593 = r22573 * r22561; double r22594 = r22570 * r22570; double r22595 = r22593 * r22594; double r22596 = r22570 * r22561; double r22597 = r22596 * r22596; double r22598 = r22595 - r22597; double r22599 = r22592 * r22598; double r22600 = r22577 * r22564; double r22601 = r22563 * r22600; double r22602 = fma(r22562, r22599, r22601); double r22603 = sqrt(r22602); double r22604 = r22562 * r22564; double r22605 = r22604 * r22561; double r22606 = sqrt(r22605); double r22607 = r22594 / r22571; double r22608 = r22562 * r22607; double r22609 = r22577 - r22608; double r22610 = pow(r22572, r22562); double r22611 = r22564 * r22610; double r22612 = r22561 - r22573; double r22613 = r22611 * r22612; double r22614 = r22609 - r22613; double r22615 = sqrt(r22614); double r22616 = r22606 * r22615; double r22617 = r22590 ? r22603 : r22616; double r22618 = r22567 ? r22588 : r22617; return r22618; } 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 r22619, r22620, r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22619, "2", 10, MPFR_RNDN); 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); mpfr_init(r22639); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22620, n, MPFR_RNDN); mpfr_mul(r22621, r22619, r22620, MPFR_RNDN); mpfr_set_d(r22622, U, MPFR_RNDN); mpfr_mul(r22623, r22621, r22622, MPFR_RNDN); mpfr_set_d(r22624, t, MPFR_RNDN); mpfr_set_d(r22625, l, MPFR_RNDN); mpfr_mul(r22626, r22625, r22625, MPFR_RNDN); mpfr_set_d(r22627, Om, MPFR_RNDN); mpfr_div(r22628, r22626, r22627, MPFR_RNDN); mpfr_mul(r22629, r22619, r22628, MPFR_RNDN); mpfr_sub(r22630, r22624, r22629, MPFR_RNDN); mpfr_div(r22631, r22625, r22627, MPFR_RNDN); mpfr_pow(r22632, r22631, r22619, MPFR_RNDN); mpfr_mul(r22633, r22620, r22632, MPFR_RNDN); mpfr_set_d(r22634, U_, MPFR_RNDN); mpfr_sub(r22635, r22622, r22634, MPFR_RNDN); mpfr_mul(r22636, r22633, r22635, MPFR_RNDN); mpfr_sub(r22637, r22630, r22636, MPFR_RNDN); mpfr_mul(r22638, r22623, r22637, MPFR_RNDN); mpfr_sqrt(r22639, r22638, MPFR_RNDN); return mpfr_get_d(r22639, MPFR_RNDN); } static mpfr_t 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_fm() { mpfr_set_default_prec(400); mpfr_init(r22640); mpfr_init_set_str(r22641, "2", 10, MPFR_RNDN); mpfr_init(r22642); mpfr_init(r22643); mpfr_init(r22644); mpfr_init_set_str(r22645, "-3.5100745589098e-318", 10, MPFR_RNDN); 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(r22661); mpfr_init_set_str(r22662, "0", 10, MPFR_RNDN); mpfr_init(r22663); mpfr_init(r22664); mpfr_init(r22665); mpfr_init_set_str(r22666, "1/2", 10, MPFR_RNDN); mpfr_init(r22667); mpfr_init_set_str(r22668, "3.8760438047537e-319", 10, MPFR_RNDN); 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_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22640, U, MPFR_RNDN); ; mpfr_mul(r22642, r22640, r22641, MPFR_RNDN); mpfr_set_d(r22643, n, MPFR_RNDN); mpfr_mul(r22644, r22642, r22643, MPFR_RNDN); ; mpfr_set_si(r22646, mpfr_cmp(r22644, r22645) <= 0, MPFR_RNDN); mpfr_mul(r22647, r22640, r22643, MPFR_RNDN); mpfr_mul(r22648, r22647, r22641, MPFR_RNDN); mpfr_set_d(r22649, l, MPFR_RNDN); mpfr_set_d(r22650, Om, MPFR_RNDN); mpfr_div(r22651, r22649, r22650, MPFR_RNDN); mpfr_set_d(r22652, U_, MPFR_RNDN); mpfr_sub(r22653, r22652, r22640, MPFR_RNDN); mpfr_mul(r22654, r22651, r22643, MPFR_RNDN); mpfr_mul(r22655, r22653, r22654, MPFR_RNDN); mpfr_set_d(r22656, t, MPFR_RNDN); mpfr_mul(r22657, r22649, r22641, MPFR_RNDN); mpfr_mul(r22658, r22657, r22651, MPFR_RNDN); mpfr_sub(r22659, r22656, r22658, MPFR_RNDN); mpfr_fma(r22660, r22651, r22655, r22659, MPFR_RNDN); mpfr_mul(r22661, r22648, r22660, MPFR_RNDN); ; mpfr_mul(r22663, r22662, r22643, MPFR_RNDN); mpfr_mul(r22664, r22663, r22642, MPFR_RNDN); mpfr_add(r22665, r22661, r22664, MPFR_RNDN); ; mpfr_pow(r22667, r22665, r22666, MPFR_RNDN); ; mpfr_set_si(r22669, mpfr_cmp(r22644, r22668) <= 0, MPFR_RNDN); mpfr_div(r22670, r22643, r22650, MPFR_RNDN); mpfr_mul(r22671, r22670, r22670, MPFR_RNDN); mpfr_mul(r22672, r22652, r22640, MPFR_RNDN); mpfr_mul(r22673, r22649, r22649, MPFR_RNDN); mpfr_mul(r22674, r22672, r22673, MPFR_RNDN); mpfr_mul(r22675, r22649, r22640, MPFR_RNDN); mpfr_mul(r22676, r22675, r22675, MPFR_RNDN); mpfr_sub(r22677, r22674, r22676, MPFR_RNDN); mpfr_mul(r22678, r22671, r22677, MPFR_RNDN); mpfr_mul(r22679, r22656, r22643, MPFR_RNDN); mpfr_mul(r22680, r22642, r22679, MPFR_RNDN); mpfr_fma(r22681, r22641, r22678, r22680, MPFR_RNDN); mpfr_sqrt(r22682, r22681, MPFR_RNDN); mpfr_mul(r22683, r22641, r22643, MPFR_RNDN); mpfr_mul(r22684, r22683, r22640, MPFR_RNDN); mpfr_sqrt(r22685, r22684, MPFR_RNDN); mpfr_div(r22686, r22673, r22650, MPFR_RNDN); mpfr_mul(r22687, r22641, r22686, MPFR_RNDN); mpfr_sub(r22688, r22656, r22687, MPFR_RNDN); mpfr_pow(r22689, r22651, r22641, MPFR_RNDN); mpfr_mul(r22690, r22643, r22689, MPFR_RNDN); mpfr_sub(r22691, r22640, r22652, 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, r22685, r22694, MPFR_RNDN); if (mpfr_get_si(r22669, MPFR_RNDN)) { mpfr_set(r22696, r22682, MPFR_RNDN); } else { mpfr_set(r22696, r22695, MPFR_RNDN); }; if (mpfr_get_si(r22646, MPFR_RNDN)) { mpfr_set(r22697, r22667, MPFR_RNDN); } else { mpfr_set(r22697, r22696, MPFR_RNDN); }; return mpfr_get_d(r22697, MPFR_RNDN); } static mpfr_t 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, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r22698); mpfr_init_set_str(r22699, "2", 10, MPFR_RNDN); mpfr_init(r22700); mpfr_init(r22701); mpfr_init(r22702); mpfr_init_set_str(r22703, "-3.5100745589098e-318", 10, MPFR_RNDN); mpfr_init(r22704); mpfr_init(r22705); mpfr_init(r22706); mpfr_init(r22707); 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_set_str(r22720, "0", 10, MPFR_RNDN); mpfr_init(r22721); mpfr_init(r22722); mpfr_init(r22723); mpfr_init_set_str(r22724, "1/2", 10, MPFR_RNDN); mpfr_init(r22725); mpfr_init_set_str(r22726, "3.8760438047537e-319", 10, MPFR_RNDN); mpfr_init(r22727); mpfr_init(r22728); mpfr_init(r22729); mpfr_init(r22730); mpfr_init(r22731); mpfr_init(r22732); mpfr_init(r22733); mpfr_init(r22734); mpfr_init(r22735); mpfr_init(r22736); mpfr_init(r22737); mpfr_init(r22738); mpfr_init(r22739); mpfr_init(r22740); mpfr_init(r22741); mpfr_init(r22742); mpfr_init(r22743); mpfr_init(r22744); mpfr_init(r22745); mpfr_init(r22746); mpfr_init(r22747); mpfr_init(r22748); mpfr_init(r22749); mpfr_init(r22750); mpfr_init(r22751); mpfr_init(r22752); mpfr_init(r22753); mpfr_init(r22754); mpfr_init(r22755); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22698, U, MPFR_RNDN); ; mpfr_mul(r22700, r22698, r22699, MPFR_RNDN); mpfr_set_d(r22701, n, MPFR_RNDN); mpfr_mul(r22702, r22700, r22701, MPFR_RNDN); ; mpfr_set_si(r22704, mpfr_cmp(r22702, r22703) <= 0, MPFR_RNDN); mpfr_mul(r22705, r22698, r22701, MPFR_RNDN); mpfr_mul(r22706, r22705, r22699, MPFR_RNDN); mpfr_set_d(r22707, l, MPFR_RNDN); mpfr_set_d(r22708, Om, MPFR_RNDN); mpfr_div(r22709, r22707, r22708, MPFR_RNDN); mpfr_set_d(r22710, U_, MPFR_RNDN); mpfr_sub(r22711, r22710, r22698, MPFR_RNDN); mpfr_mul(r22712, r22709, r22701, MPFR_RNDN); mpfr_mul(r22713, r22711, r22712, MPFR_RNDN); mpfr_set_d(r22714, t, MPFR_RNDN); mpfr_mul(r22715, r22707, r22699, MPFR_RNDN); mpfr_mul(r22716, r22715, r22709, MPFR_RNDN); mpfr_sub(r22717, r22714, r22716, MPFR_RNDN); mpfr_fma(r22718, r22709, r22713, r22717, MPFR_RNDN); mpfr_mul(r22719, r22706, r22718, MPFR_RNDN); ; mpfr_mul(r22721, r22720, r22701, MPFR_RNDN); mpfr_mul(r22722, r22721, r22700, MPFR_RNDN); mpfr_add(r22723, r22719, r22722, MPFR_RNDN); ; mpfr_pow(r22725, r22723, r22724, MPFR_RNDN); ; mpfr_set_si(r22727, mpfr_cmp(r22702, r22726) <= 0, MPFR_RNDN); mpfr_div(r22728, r22701, r22708, MPFR_RNDN); mpfr_mul(r22729, r22728, r22728, MPFR_RNDN); mpfr_mul(r22730, r22710, r22698, MPFR_RNDN); mpfr_mul(r22731, r22707, r22707, MPFR_RNDN); mpfr_mul(r22732, r22730, r22731, MPFR_RNDN); mpfr_mul(r22733, r22707, r22698, MPFR_RNDN); mpfr_mul(r22734, r22733, r22733, MPFR_RNDN); mpfr_sub(r22735, r22732, r22734, MPFR_RNDN); mpfr_mul(r22736, r22729, r22735, MPFR_RNDN); mpfr_mul(r22737, r22714, r22701, MPFR_RNDN); mpfr_mul(r22738, r22700, r22737, MPFR_RNDN); mpfr_fma(r22739, r22699, r22736, r22738, MPFR_RNDN); mpfr_sqrt(r22740, r22739, MPFR_RNDN); mpfr_mul(r22741, r22699, r22701, MPFR_RNDN); mpfr_mul(r22742, r22741, r22698, MPFR_RNDN); mpfr_sqrt(r22743, r22742, MPFR_RNDN); mpfr_div(r22744, r22731, r22708, MPFR_RNDN); mpfr_mul(r22745, r22699, r22744, MPFR_RNDN); mpfr_sub(r22746, r22714, r22745, MPFR_RNDN); mpfr_pow(r22747, r22709, r22699, MPFR_RNDN); mpfr_mul(r22748, r22701, r22747, MPFR_RNDN); mpfr_sub(r22749, r22698, r22710, MPFR_RNDN); mpfr_mul(r22750, r22748, r22749, MPFR_RNDN); mpfr_sub(r22751, r22746, r22750, MPFR_RNDN); mpfr_sqrt(r22752, r22751, MPFR_RNDN); mpfr_mul(r22753, r22743, r22752, MPFR_RNDN); if (mpfr_get_si(r22727, MPFR_RNDN)) { mpfr_set(r22754, r22740, MPFR_RNDN); } else { mpfr_set(r22754, r22753, MPFR_RNDN); }; if (mpfr_get_si(r22704, MPFR_RNDN)) { mpfr_set(r22755, r22725, MPFR_RNDN); } else { mpfr_set(r22755, r22754, MPFR_RNDN); }; return mpfr_get_d(r22755, MPFR_RNDN); }