#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 r21519 = 2; float r21520 = n; float r21521 = r21519 * r21520; float r21522 = U; float r21523 = r21521 * r21522; float r21524 = t; float r21525 = l; float r21526 = r21525 * r21525; float r21527 = Om; float r21528 = r21526 / r21527; float r21529 = r21519 * r21528; float r21530 = r21524 - r21529; float r21531 = r21525 / r21527; float r21532 = pow(r21531, r21519); float r21533 = r21520 * r21532; float r21534 = U_; float r21535 = r21522 - r21534; float r21536 = r21533 * r21535; float r21537 = r21530 - r21536; float r21538 = r21523 * r21537; float r21539 = sqrt(r21538); return r21539; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21540 = 2; double r21541 = n; double r21542 = r21540 * r21541; double r21543 = U; double r21544 = r21542 * r21543; double r21545 = t; double r21546 = l; double r21547 = r21546 * r21546; double r21548 = Om; double r21549 = r21547 / r21548; double r21550 = r21540 * r21549; double r21551 = r21545 - r21550; double r21552 = r21546 / r21548; double r21553 = pow(r21552, r21540); double r21554 = r21541 * r21553; double r21555 = U_; double r21556 = r21543 - r21555; double r21557 = r21554 * r21556; double r21558 = r21551 - r21557; double r21559 = r21544 * r21558; double r21560 = sqrt(r21559); return r21560; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21561 = n; float r21562 = 2.676717885821386e-306; bool r21563 = r21561 <= r21562; float r21564 = 2; float r21565 = r21564 * r21561; float r21566 = U; float r21567 = t; float r21568 = l; float r21569 = r21568 * r21568; float r21570 = Om; float r21571 = r21569 / r21570; float r21572 = r21564 * r21571; float r21573 = r21567 - r21572; float r21574 = r21568 / r21570; float r21575 = r21561 * r21574; float r21576 = r21575 * r21574; float r21577 = U_; float r21578 = r21566 - r21577; float r21579 = r21576 * r21578; float r21580 = r21573 - r21579; float r21581 = r21566 * r21580; float r21582 = r21565 * r21581; float r21583 = sqrt(r21582); float r21584 = sqrt(r21565); float r21585 = r21574 * r21561; float r21586 = r21574 * r21578; float r21587 = r21568 + r21568; float r21588 = r21574 * r21587; float r21589 = fma(r21585, r21586, r21588); float r21590 = r21567 - r21589; float r21591 = r21590 * r21566; float r21592 = sqrt(r21591); float r21593 = r21584 * r21592; float r21594 = r21563 ? r21583 : r21593; return r21594; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21595 = n; double r21596 = 2.676717885821386e-306; bool r21597 = r21595 <= r21596; double r21598 = 2; double r21599 = r21598 * r21595; double r21600 = U; double r21601 = t; double r21602 = l; double r21603 = r21602 * r21602; double r21604 = Om; double r21605 = r21603 / r21604; double r21606 = r21598 * r21605; double r21607 = r21601 - r21606; double r21608 = r21602 / r21604; double r21609 = r21595 * r21608; double r21610 = r21609 * r21608; double r21611 = U_; double r21612 = r21600 - r21611; double r21613 = r21610 * r21612; double r21614 = r21607 - r21613; double r21615 = r21600 * r21614; double r21616 = r21599 * r21615; double r21617 = sqrt(r21616); double r21618 = sqrt(r21599); double r21619 = r21608 * r21595; double r21620 = r21608 * r21612; double r21621 = r21602 + r21602; double r21622 = r21608 * r21621; double r21623 = fma(r21619, r21620, r21622); double r21624 = r21601 - r21623; double r21625 = r21624 * r21600; double r21626 = sqrt(r21625); double r21627 = r21618 * r21626; double r21628 = r21597 ? r21617 : r21627; return r21628; } 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 r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21629, "2", 10, MPFR_RNDN); mpfr_init(r21630); mpfr_init(r21631); mpfr_init(r21632); mpfr_init(r21633); mpfr_init(r21634); mpfr_init(r21635); mpfr_init(r21636); mpfr_init(r21637); 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); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21630, n, MPFR_RNDN); mpfr_mul(r21631, r21629, r21630, MPFR_RNDN); mpfr_set_d(r21632, U, MPFR_RNDN); mpfr_mul(r21633, r21631, r21632, MPFR_RNDN); mpfr_set_d(r21634, t, MPFR_RNDN); mpfr_set_d(r21635, l, MPFR_RNDN); mpfr_mul(r21636, r21635, r21635, MPFR_RNDN); mpfr_set_d(r21637, Om, MPFR_RNDN); mpfr_div(r21638, r21636, r21637, MPFR_RNDN); mpfr_mul(r21639, r21629, r21638, MPFR_RNDN); mpfr_sub(r21640, r21634, r21639, MPFR_RNDN); mpfr_div(r21641, r21635, r21637, MPFR_RNDN); mpfr_pow(r21642, r21641, r21629, MPFR_RNDN); mpfr_mul(r21643, r21630, r21642, MPFR_RNDN); mpfr_set_d(r21644, U_, MPFR_RNDN); mpfr_sub(r21645, r21632, r21644, MPFR_RNDN); mpfr_mul(r21646, r21643, r21645, MPFR_RNDN); mpfr_sub(r21647, r21640, r21646, MPFR_RNDN); mpfr_mul(r21648, r21633, r21647, MPFR_RNDN); mpfr_sqrt(r21649, r21648, MPFR_RNDN); return mpfr_get_d(r21649, MPFR_RNDN); } static mpfr_t r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21650); mpfr_init_set_str(r21651, "2.676717885821386e-306", 10, MPFR_RNDN); mpfr_init(r21652); mpfr_init_set_str(r21653, "2", 10, MPFR_RNDN); mpfr_init(r21654); mpfr_init(r21655); mpfr_init(r21656); mpfr_init(r21657); mpfr_init(r21658); mpfr_init(r21659); mpfr_init(r21660); mpfr_init(r21661); mpfr_init(r21662); mpfr_init(r21663); mpfr_init(r21664); mpfr_init(r21665); mpfr_init(r21666); 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); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21650, n, MPFR_RNDN); ; mpfr_set_si(r21652, mpfr_cmp(r21650, r21651) <= 0, MPFR_RNDN); ; mpfr_mul(r21654, r21653, r21650, MPFR_RNDN); mpfr_set_d(r21655, U, MPFR_RNDN); mpfr_set_d(r21656, t, MPFR_RNDN); mpfr_set_d(r21657, l, MPFR_RNDN); mpfr_mul(r21658, r21657, r21657, MPFR_RNDN); mpfr_set_d(r21659, Om, MPFR_RNDN); mpfr_div(r21660, r21658, r21659, MPFR_RNDN); mpfr_mul(r21661, r21653, r21660, MPFR_RNDN); mpfr_sub(r21662, r21656, r21661, MPFR_RNDN); mpfr_div(r21663, r21657, r21659, MPFR_RNDN); mpfr_mul(r21664, r21650, r21663, MPFR_RNDN); mpfr_mul(r21665, r21664, r21663, MPFR_RNDN); mpfr_set_d(r21666, U_, MPFR_RNDN); mpfr_sub(r21667, r21655, r21666, MPFR_RNDN); mpfr_mul(r21668, r21665, r21667, MPFR_RNDN); mpfr_sub(r21669, r21662, r21668, MPFR_RNDN); mpfr_mul(r21670, r21655, r21669, MPFR_RNDN); mpfr_mul(r21671, r21654, r21670, MPFR_RNDN); mpfr_sqrt(r21672, r21671, MPFR_RNDN); mpfr_sqrt(r21673, r21654, MPFR_RNDN); mpfr_mul(r21674, r21663, r21650, MPFR_RNDN); mpfr_mul(r21675, r21663, r21667, MPFR_RNDN); mpfr_add(r21676, r21657, r21657, MPFR_RNDN); mpfr_mul(r21677, r21663, r21676, MPFR_RNDN); mpfr_fma(r21678, r21674, r21675, r21677, MPFR_RNDN); mpfr_sub(r21679, r21656, r21678, MPFR_RNDN); mpfr_mul(r21680, r21679, r21655, MPFR_RNDN); mpfr_sqrt(r21681, r21680, MPFR_RNDN); mpfr_mul(r21682, r21673, r21681, MPFR_RNDN); if (mpfr_get_si(r21652, MPFR_RNDN)) { mpfr_set(r21683, r21672, MPFR_RNDN); } else { mpfr_set(r21683, r21682, MPFR_RNDN); }; return mpfr_get_d(r21683, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21684); mpfr_init_set_str(r21685, "2.676717885821386e-306", 10, MPFR_RNDN); mpfr_init(r21686); mpfr_init_set_str(r21687, "2", 10, MPFR_RNDN); 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(r21703); mpfr_init(r21704); mpfr_init(r21705); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21684, n, MPFR_RNDN); ; mpfr_set_si(r21686, mpfr_cmp(r21684, r21685) <= 0, MPFR_RNDN); ; mpfr_mul(r21688, r21687, r21684, MPFR_RNDN); mpfr_set_d(r21689, U, MPFR_RNDN); mpfr_set_d(r21690, t, MPFR_RNDN); mpfr_set_d(r21691, l, MPFR_RNDN); mpfr_mul(r21692, r21691, r21691, MPFR_RNDN); mpfr_set_d(r21693, Om, MPFR_RNDN); mpfr_div(r21694, r21692, r21693, MPFR_RNDN); mpfr_mul(r21695, r21687, r21694, MPFR_RNDN); mpfr_sub(r21696, r21690, r21695, MPFR_RNDN); mpfr_div(r21697, r21691, r21693, MPFR_RNDN); mpfr_mul(r21698, r21684, r21697, MPFR_RNDN); mpfr_mul(r21699, r21698, r21697, MPFR_RNDN); mpfr_set_d(r21700, U_, MPFR_RNDN); mpfr_sub(r21701, r21689, r21700, MPFR_RNDN); mpfr_mul(r21702, r21699, r21701, MPFR_RNDN); mpfr_sub(r21703, r21696, r21702, MPFR_RNDN); mpfr_mul(r21704, r21689, r21703, MPFR_RNDN); mpfr_mul(r21705, r21688, r21704, MPFR_RNDN); mpfr_sqrt(r21706, r21705, MPFR_RNDN); mpfr_sqrt(r21707, r21688, MPFR_RNDN); mpfr_mul(r21708, r21697, r21684, MPFR_RNDN); mpfr_mul(r21709, r21697, r21701, MPFR_RNDN); mpfr_add(r21710, r21691, r21691, MPFR_RNDN); mpfr_mul(r21711, r21697, r21710, MPFR_RNDN); mpfr_fma(r21712, r21708, r21709, r21711, MPFR_RNDN); mpfr_sub(r21713, r21690, r21712, MPFR_RNDN); mpfr_mul(r21714, r21713, r21689, MPFR_RNDN); mpfr_sqrt(r21715, r21714, MPFR_RNDN); mpfr_mul(r21716, r21707, r21715, MPFR_RNDN); if (mpfr_get_si(r21686, MPFR_RNDN)) { mpfr_set(r21717, r21706, MPFR_RNDN); } else { mpfr_set(r21717, r21716, MPFR_RNDN); }; return mpfr_get_d(r21717, MPFR_RNDN); }