#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 r21471 = 2; float r21472 = n; float r21473 = r21471 * r21472; float r21474 = U; float r21475 = r21473 * r21474; float r21476 = t; float r21477 = l; float r21478 = r21477 * r21477; float r21479 = Om; float r21480 = r21478 / r21479; float r21481 = r21471 * r21480; float r21482 = r21476 - r21481; float r21483 = r21477 / r21479; float r21484 = pow(r21483, r21471); float r21485 = r21472 * r21484; float r21486 = U_; float r21487 = r21474 - r21486; float r21488 = r21485 * r21487; float r21489 = r21482 - r21488; float r21490 = r21475 * r21489; float r21491 = sqrt(r21490); return r21491; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21492 = 2; double r21493 = n; double r21494 = r21492 * r21493; double r21495 = U; double r21496 = r21494 * r21495; double r21497 = t; double r21498 = l; double r21499 = r21498 * r21498; double r21500 = Om; double r21501 = r21499 / r21500; double r21502 = r21492 * r21501; double r21503 = r21497 - r21502; double r21504 = r21498 / r21500; double r21505 = pow(r21504, r21492); double r21506 = r21493 * r21505; double r21507 = U_; double r21508 = r21495 - r21507; double r21509 = r21506 * r21508; double r21510 = r21503 - r21509; double r21511 = r21496 * r21510; double r21512 = sqrt(r21511); return r21512; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21513 = n; float r21514 = U; float r21515 = r21513 * r21514; float r21516 = 2; float r21517 = r21515 * r21516; float r21518 = -4.04674894421819e-309; bool r21519 = r21517 <= r21518; float r21520 = r21514 * r21516; float r21521 = 0; float r21522 = r21513 * r21521; float r21523 = r21520 * r21522; float r21524 = l; float r21525 = Om; float r21526 = r21524 / r21525; float r21527 = r21513 * r21526; float r21528 = U_; float r21529 = r21528 - r21514; float r21530 = r21527 * r21529; float r21531 = t; float r21532 = r21516 * r21524; float r21533 = r21526 * r21532; float r21534 = r21531 - r21533; float r21535 = fma(r21526, r21530, r21534); float r21536 = r21517 * r21535; float r21537 = r21523 + r21536; float r21538 = sqrt(r21537); float r21539 = 1.3383398379117262e-303; bool r21540 = r21517 <= r21539; float r21541 = r21516 * r21513; float r21542 = r21514 - r21528; float r21543 = r21513 * r21542; float r21544 = r21526 * r21526; float r21545 = fma(r21543, r21544, r21533); float r21546 = r21531 - r21545; float r21547 = r21546 * r21514; float r21548 = r21541 * r21547; float r21549 = r21541 * r21514; float r21550 = -r21542; float r21551 = pow(r21526, r21516); float r21552 = r21513 * r21551; float r21553 = r21552 * r21542; float r21554 = fma(r21550, r21552, r21553); float r21555 = r21549 * r21554; float r21556 = r21548 + r21555; float r21557 = sqrt(r21556); float r21558 = 6.6591248961963185e-146; bool r21559 = r21517 <= r21558; float r21560 = 3.9166031812794964e+71; bool r21561 = r21517 <= r21560; float r21562 = !r21561; bool r21563 = r21559 || r21562; float r21564 = sqrt(r21549); float r21565 = r21524 * r21524; float r21566 = r21565 / r21525; float r21567 = r21566 * r21516; float r21568 = r21531 - r21567; float r21569 = r21568 - r21553; float r21570 = sqrt(r21569); float r21571 = r21564 * r21570; float r21572 = r21563 ? r21571 : r21538; float r21573 = r21540 ? r21557 : r21572; float r21574 = r21519 ? r21538 : r21573; return r21574; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21575 = n; double r21576 = U; double r21577 = r21575 * r21576; double r21578 = 2; double r21579 = r21577 * r21578; double r21580 = -4.04674894421819e-309; bool r21581 = r21579 <= r21580; double r21582 = r21576 * r21578; double r21583 = 0; double r21584 = r21575 * r21583; double r21585 = r21582 * r21584; double r21586 = l; double r21587 = Om; double r21588 = r21586 / r21587; double r21589 = r21575 * r21588; double r21590 = U_; double r21591 = r21590 - r21576; double r21592 = r21589 * r21591; double r21593 = t; double r21594 = r21578 * r21586; double r21595 = r21588 * r21594; double r21596 = r21593 - r21595; double r21597 = fma(r21588, r21592, r21596); double r21598 = r21579 * r21597; double r21599 = r21585 + r21598; double r21600 = sqrt(r21599); double r21601 = 1.3383398379117262e-303; bool r21602 = r21579 <= r21601; double r21603 = r21578 * r21575; double r21604 = r21576 - r21590; double r21605 = r21575 * r21604; double r21606 = r21588 * r21588; double r21607 = fma(r21605, r21606, r21595); double r21608 = r21593 - r21607; double r21609 = r21608 * r21576; double r21610 = r21603 * r21609; double r21611 = r21603 * r21576; double r21612 = -r21604; double r21613 = pow(r21588, r21578); double r21614 = r21575 * r21613; double r21615 = r21614 * r21604; double r21616 = fma(r21612, r21614, r21615); double r21617 = r21611 * r21616; double r21618 = r21610 + r21617; double r21619 = sqrt(r21618); double r21620 = 6.6591248961963185e-146; bool r21621 = r21579 <= r21620; double r21622 = 3.9166031812794964e+71; bool r21623 = r21579 <= r21622; double r21624 = !r21623; bool r21625 = r21621 || r21624; double r21626 = sqrt(r21611); double r21627 = r21586 * r21586; double r21628 = r21627 / r21587; double r21629 = r21628 * r21578; double r21630 = r21593 - r21629; double r21631 = r21630 - r21615; double r21632 = sqrt(r21631); double r21633 = r21626 * r21632; double r21634 = r21625 ? r21633 : r21600; double r21635 = r21602 ? r21619 : r21634; double r21636 = r21581 ? r21600 : r21635; return r21636; } 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 r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r21637, "2", 10, MPFR_RNDN); mpfr_init(r21638); mpfr_init(r21639); mpfr_init(r21640); mpfr_init(r21641); mpfr_init(r21642); mpfr_init(r21643); mpfr_init(r21644); mpfr_init(r21645); mpfr_init(r21646); mpfr_init(r21647); mpfr_init(r21648); mpfr_init(r21649); mpfr_init(r21650); mpfr_init(r21651); mpfr_init(r21652); mpfr_init(r21653); mpfr_init(r21654); mpfr_init(r21655); mpfr_init(r21656); mpfr_init(r21657); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21638, n, MPFR_RNDN); mpfr_mul(r21639, r21637, r21638, MPFR_RNDN); mpfr_set_d(r21640, U, MPFR_RNDN); mpfr_mul(r21641, r21639, r21640, MPFR_RNDN); mpfr_set_d(r21642, t, MPFR_RNDN); mpfr_set_d(r21643, l, MPFR_RNDN); mpfr_mul(r21644, r21643, r21643, MPFR_RNDN); mpfr_set_d(r21645, Om, MPFR_RNDN); mpfr_div(r21646, r21644, r21645, MPFR_RNDN); mpfr_mul(r21647, r21637, r21646, MPFR_RNDN); mpfr_sub(r21648, r21642, r21647, MPFR_RNDN); mpfr_div(r21649, r21643, r21645, MPFR_RNDN); mpfr_pow(r21650, r21649, r21637, MPFR_RNDN); mpfr_mul(r21651, r21638, r21650, MPFR_RNDN); mpfr_set_d(r21652, U_, MPFR_RNDN); mpfr_sub(r21653, r21640, r21652, MPFR_RNDN); mpfr_mul(r21654, r21651, r21653, MPFR_RNDN); mpfr_sub(r21655, r21648, r21654, MPFR_RNDN); mpfr_mul(r21656, r21641, r21655, MPFR_RNDN); mpfr_sqrt(r21657, r21656, MPFR_RNDN); return mpfr_get_d(r21657, MPFR_RNDN); } static mpfr_t r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693, r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702, r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716, r21717, r21718, r21719; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r21658); mpfr_init(r21659); mpfr_init(r21660); mpfr_init_set_str(r21661, "2", 10, MPFR_RNDN); mpfr_init(r21662); mpfr_init_set_str(r21663, "-4.04674894421819e-309", 10, MPFR_RNDN); mpfr_init(r21664); mpfr_init(r21665); mpfr_init_set_str(r21666, "0", 10, MPFR_RNDN); mpfr_init(r21667); mpfr_init(r21668); mpfr_init(r21669); mpfr_init(r21670); mpfr_init(r21671); mpfr_init(r21672); mpfr_init(r21673); mpfr_init(r21674); mpfr_init(r21675); mpfr_init(r21676); mpfr_init(r21677); mpfr_init(r21678); mpfr_init(r21679); mpfr_init(r21680); mpfr_init(r21681); mpfr_init(r21682); mpfr_init(r21683); mpfr_init_set_str(r21684, "1.3383398379117262e-303", 10, MPFR_RNDN); mpfr_init(r21685); mpfr_init(r21686); mpfr_init(r21687); mpfr_init(r21688); mpfr_init(r21689); mpfr_init(r21690); mpfr_init(r21691); mpfr_init(r21692); mpfr_init(r21693); mpfr_init(r21694); mpfr_init(r21695); mpfr_init(r21696); mpfr_init(r21697); mpfr_init(r21698); mpfr_init(r21699); mpfr_init(r21700); mpfr_init(r21701); mpfr_init(r21702); mpfr_init_set_str(r21703, "6.6591248961963185e-146", 10, MPFR_RNDN); mpfr_init(r21704); mpfr_init_set_str(r21705, "3.9166031812794964e+71", 10, MPFR_RNDN); mpfr_init(r21706); mpfr_init(r21707); mpfr_init(r21708); mpfr_init(r21709); mpfr_init(r21710); mpfr_init(r21711); mpfr_init(r21712); mpfr_init(r21713); mpfr_init(r21714); mpfr_init(r21715); mpfr_init(r21716); mpfr_init(r21717); mpfr_init(r21718); mpfr_init(r21719); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21658, n, MPFR_RNDN); mpfr_set_d(r21659, U, MPFR_RNDN); mpfr_mul(r21660, r21658, r21659, MPFR_RNDN); ; mpfr_mul(r21662, r21660, r21661, MPFR_RNDN); ; mpfr_set_si(r21664, mpfr_cmp(r21662, r21663) <= 0, MPFR_RNDN); mpfr_mul(r21665, r21659, r21661, MPFR_RNDN); ; mpfr_mul(r21667, r21658, r21666, MPFR_RNDN); mpfr_mul(r21668, r21665, r21667, MPFR_RNDN); mpfr_set_d(r21669, l, MPFR_RNDN); mpfr_set_d(r21670, Om, MPFR_RNDN); mpfr_div(r21671, r21669, r21670, MPFR_RNDN); mpfr_mul(r21672, r21658, r21671, MPFR_RNDN); mpfr_set_d(r21673, U_, MPFR_RNDN); mpfr_sub(r21674, r21673, r21659, MPFR_RNDN); mpfr_mul(r21675, r21672, r21674, MPFR_RNDN); mpfr_set_d(r21676, t, MPFR_RNDN); mpfr_mul(r21677, r21661, r21669, MPFR_RNDN); mpfr_mul(r21678, r21671, r21677, MPFR_RNDN); mpfr_sub(r21679, r21676, r21678, MPFR_RNDN); mpfr_fma(r21680, r21671, r21675, r21679, MPFR_RNDN); mpfr_mul(r21681, r21662, r21680, MPFR_RNDN); mpfr_add(r21682, r21668, r21681, MPFR_RNDN); mpfr_sqrt(r21683, r21682, MPFR_RNDN); ; mpfr_set_si(r21685, mpfr_cmp(r21662, r21684) <= 0, MPFR_RNDN); mpfr_mul(r21686, r21661, r21658, MPFR_RNDN); mpfr_sub(r21687, r21659, r21673, MPFR_RNDN); mpfr_mul(r21688, r21658, r21687, MPFR_RNDN); mpfr_mul(r21689, r21671, r21671, MPFR_RNDN); mpfr_fma(r21690, r21688, r21689, r21678, MPFR_RNDN); mpfr_sub(r21691, r21676, r21690, MPFR_RNDN); mpfr_mul(r21692, r21691, r21659, MPFR_RNDN); mpfr_mul(r21693, r21686, r21692, MPFR_RNDN); mpfr_mul(r21694, r21686, r21659, MPFR_RNDN); mpfr_neg(r21695, r21687, MPFR_RNDN); mpfr_pow(r21696, r21671, r21661, MPFR_RNDN); mpfr_mul(r21697, r21658, r21696, MPFR_RNDN); mpfr_mul(r21698, r21697, r21687, MPFR_RNDN); mpfr_fma(r21699, r21695, r21697, r21698, MPFR_RNDN); mpfr_mul(r21700, r21694, r21699, MPFR_RNDN); mpfr_add(r21701, r21693, r21700, MPFR_RNDN); mpfr_sqrt(r21702, r21701, MPFR_RNDN); ; mpfr_set_si(r21704, mpfr_cmp(r21662, r21703) <= 0, MPFR_RNDN); ; mpfr_set_si(r21706, mpfr_cmp(r21662, r21705) <= 0, MPFR_RNDN); mpfr_set_si(r21707, !mpfr_get_si(r21706, MPFR_RNDN), MPFR_RNDN); mpfr_set_si(r21708, mpfr_get_si(r21704, MPFR_RNDN) || mpfr_get_si(r21707, MPFR_RNDN), MPFR_RNDN); mpfr_sqrt(r21709, r21694, MPFR_RNDN); mpfr_mul(r21710, r21669, r21669, MPFR_RNDN); mpfr_div(r21711, r21710, r21670, MPFR_RNDN); mpfr_mul(r21712, r21711, r21661, MPFR_RNDN); mpfr_sub(r21713, r21676, r21712, MPFR_RNDN); mpfr_sub(r21714, r21713, r21698, MPFR_RNDN); mpfr_sqrt(r21715, r21714, MPFR_RNDN); mpfr_mul(r21716, r21709, r21715, MPFR_RNDN); if (mpfr_get_si(r21708, MPFR_RNDN)) { mpfr_set(r21717, r21716, MPFR_RNDN); } else { mpfr_set(r21717, r21683, MPFR_RNDN); }; if (mpfr_get_si(r21685, MPFR_RNDN)) { mpfr_set(r21718, r21702, MPFR_RNDN); } else { mpfr_set(r21718, r21717, MPFR_RNDN); }; if (mpfr_get_si(r21664, MPFR_RNDN)) { mpfr_set(r21719, r21683, MPFR_RNDN); } else { mpfr_set(r21719, r21718, MPFR_RNDN); }; return mpfr_get_d(r21719, MPFR_RNDN); } static mpfr_t r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729, r21730, r21731, r21732, r21733, r21734, r21735, r21736, r21737, r21738, r21739, r21740, r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760, r21761, r21762, r21763, r21764, r21765, r21766, r21767, r21768, r21769, r21770, r21771, r21772, r21773, r21774, r21775, r21776, r21777, r21778, r21779, r21780, r21781; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r21720); mpfr_init(r21721); mpfr_init(r21722); mpfr_init_set_str(r21723, "2", 10, MPFR_RNDN); mpfr_init(r21724); mpfr_init_set_str(r21725, "-4.04674894421819e-309", 10, MPFR_RNDN); mpfr_init(r21726); mpfr_init(r21727); mpfr_init_set_str(r21728, "0", 10, MPFR_RNDN); mpfr_init(r21729); mpfr_init(r21730); mpfr_init(r21731); mpfr_init(r21732); mpfr_init(r21733); mpfr_init(r21734); mpfr_init(r21735); mpfr_init(r21736); mpfr_init(r21737); mpfr_init(r21738); mpfr_init(r21739); mpfr_init(r21740); mpfr_init(r21741); mpfr_init(r21742); mpfr_init(r21743); mpfr_init(r21744); mpfr_init(r21745); mpfr_init_set_str(r21746, "1.3383398379117262e-303", 10, MPFR_RNDN); mpfr_init(r21747); mpfr_init(r21748); mpfr_init(r21749); mpfr_init(r21750); mpfr_init(r21751); mpfr_init(r21752); mpfr_init(r21753); mpfr_init(r21754); mpfr_init(r21755); mpfr_init(r21756); mpfr_init(r21757); mpfr_init(r21758); mpfr_init(r21759); mpfr_init(r21760); mpfr_init(r21761); mpfr_init(r21762); mpfr_init(r21763); mpfr_init(r21764); mpfr_init_set_str(r21765, "6.6591248961963185e-146", 10, MPFR_RNDN); mpfr_init(r21766); mpfr_init_set_str(r21767, "3.9166031812794964e+71", 10, MPFR_RNDN); mpfr_init(r21768); mpfr_init(r21769); mpfr_init(r21770); mpfr_init(r21771); mpfr_init(r21772); mpfr_init(r21773); mpfr_init(r21774); mpfr_init(r21775); mpfr_init(r21776); mpfr_init(r21777); mpfr_init(r21778); mpfr_init(r21779); mpfr_init(r21780); mpfr_init(r21781); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21720, n, MPFR_RNDN); mpfr_set_d(r21721, U, MPFR_RNDN); mpfr_mul(r21722, r21720, r21721, MPFR_RNDN); ; mpfr_mul(r21724, r21722, r21723, MPFR_RNDN); ; mpfr_set_si(r21726, mpfr_cmp(r21724, r21725) <= 0, MPFR_RNDN); mpfr_mul(r21727, r21721, r21723, MPFR_RNDN); ; mpfr_mul(r21729, r21720, r21728, MPFR_RNDN); mpfr_mul(r21730, r21727, r21729, MPFR_RNDN); mpfr_set_d(r21731, l, MPFR_RNDN); mpfr_set_d(r21732, Om, MPFR_RNDN); mpfr_div(r21733, r21731, r21732, MPFR_RNDN); mpfr_mul(r21734, r21720, r21733, MPFR_RNDN); mpfr_set_d(r21735, U_, MPFR_RNDN); mpfr_sub(r21736, r21735, r21721, MPFR_RNDN); mpfr_mul(r21737, r21734, r21736, MPFR_RNDN); mpfr_set_d(r21738, t, MPFR_RNDN); mpfr_mul(r21739, r21723, r21731, MPFR_RNDN); mpfr_mul(r21740, r21733, r21739, MPFR_RNDN); mpfr_sub(r21741, r21738, r21740, MPFR_RNDN); mpfr_fma(r21742, r21733, r21737, r21741, MPFR_RNDN); mpfr_mul(r21743, r21724, r21742, MPFR_RNDN); mpfr_add(r21744, r21730, r21743, MPFR_RNDN); mpfr_sqrt(r21745, r21744, MPFR_RNDN); ; mpfr_set_si(r21747, mpfr_cmp(r21724, r21746) <= 0, MPFR_RNDN); mpfr_mul(r21748, r21723, r21720, MPFR_RNDN); mpfr_sub(r21749, r21721, r21735, MPFR_RNDN); mpfr_mul(r21750, r21720, r21749, MPFR_RNDN); mpfr_mul(r21751, r21733, r21733, MPFR_RNDN); mpfr_fma(r21752, r21750, r21751, r21740, MPFR_RNDN); mpfr_sub(r21753, r21738, r21752, MPFR_RNDN); mpfr_mul(r21754, r21753, r21721, MPFR_RNDN); mpfr_mul(r21755, r21748, r21754, MPFR_RNDN); mpfr_mul(r21756, r21748, r21721, MPFR_RNDN); mpfr_neg(r21757, r21749, MPFR_RNDN); mpfr_pow(r21758, r21733, r21723, MPFR_RNDN); mpfr_mul(r21759, r21720, r21758, MPFR_RNDN); mpfr_mul(r21760, r21759, r21749, MPFR_RNDN); mpfr_fma(r21761, r21757, r21759, r21760, MPFR_RNDN); mpfr_mul(r21762, r21756, r21761, MPFR_RNDN); mpfr_add(r21763, r21755, r21762, MPFR_RNDN); mpfr_sqrt(r21764, r21763, MPFR_RNDN); ; mpfr_set_si(r21766, mpfr_cmp(r21724, r21765) <= 0, MPFR_RNDN); ; mpfr_set_si(r21768, mpfr_cmp(r21724, r21767) <= 0, MPFR_RNDN); mpfr_set_si(r21769, !mpfr_get_si(r21768, MPFR_RNDN), MPFR_RNDN); mpfr_set_si(r21770, mpfr_get_si(r21766, MPFR_RNDN) || mpfr_get_si(r21769, MPFR_RNDN), MPFR_RNDN); mpfr_sqrt(r21771, r21756, MPFR_RNDN); mpfr_mul(r21772, r21731, r21731, MPFR_RNDN); mpfr_div(r21773, r21772, r21732, MPFR_RNDN); mpfr_mul(r21774, r21773, r21723, MPFR_RNDN); mpfr_sub(r21775, r21738, r21774, MPFR_RNDN); mpfr_sub(r21776, r21775, r21760, MPFR_RNDN); mpfr_sqrt(r21777, r21776, MPFR_RNDN); mpfr_mul(r21778, r21771, r21777, MPFR_RNDN); if (mpfr_get_si(r21770, MPFR_RNDN)) { mpfr_set(r21779, r21778, MPFR_RNDN); } else { mpfr_set(r21779, r21745, MPFR_RNDN); }; if (mpfr_get_si(r21747, MPFR_RNDN)) { mpfr_set(r21780, r21764, MPFR_RNDN); } else { mpfr_set(r21780, r21779, MPFR_RNDN); }; if (mpfr_get_si(r21726, MPFR_RNDN)) { mpfr_set(r21781, r21745, MPFR_RNDN); } else { mpfr_set(r21781, r21780, MPFR_RNDN); }; return mpfr_get_d(r21781, MPFR_RNDN); }