#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 r21450 = 2; float r21451 = n; float r21452 = r21450 * r21451; float r21453 = U; float r21454 = r21452 * r21453; float r21455 = t; float r21456 = l; float r21457 = r21456 * r21456; float r21458 = Om; float r21459 = r21457 / r21458; float r21460 = r21450 * r21459; float r21461 = r21455 - r21460; float r21462 = r21456 / r21458; float r21463 = pow(r21462, r21450); float r21464 = r21451 * r21463; float r21465 = U_; float r21466 = r21453 - r21465; float r21467 = r21464 * r21466; float r21468 = r21461 - r21467; float r21469 = r21454 * r21468; float r21470 = sqrt(r21469); return r21470; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21471 = 2; double r21472 = n; double r21473 = r21471 * r21472; double r21474 = U; double r21475 = r21473 * r21474; double r21476 = t; double r21477 = l; double r21478 = r21477 * r21477; double r21479 = Om; double r21480 = r21478 / r21479; double r21481 = r21471 * r21480; double r21482 = r21476 - r21481; double r21483 = r21477 / r21479; double r21484 = pow(r21483, r21471); double r21485 = r21472 * r21484; double r21486 = U_; double r21487 = r21474 - r21486; double r21488 = r21485 * r21487; double r21489 = r21482 - r21488; double r21490 = r21475 * r21489; double r21491 = sqrt(r21490); return r21491; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21492 = n; float r21493 = 2.676717885821386e-306; bool r21494 = r21492 <= r21493; float r21495 = 2; float r21496 = r21495 * r21492; float r21497 = U; float r21498 = t; float r21499 = l; float r21500 = r21499 * r21499; float r21501 = Om; float r21502 = r21500 / r21501; float r21503 = r21495 * r21502; float r21504 = r21498 - r21503; float r21505 = r21499 / r21501; float r21506 = r21492 * r21505; float r21507 = r21506 * r21505; float r21508 = U_; float r21509 = r21497 - r21508; float r21510 = r21507 * r21509; float r21511 = r21504 - r21510; float r21512 = r21497 * r21511; float r21513 = r21496 * r21512; float r21514 = sqrt(r21513); float r21515 = sqrt(r21496); float r21516 = r21505 * r21492; float r21517 = r21505 * r21509; float r21518 = r21499 + r21499; float r21519 = r21505 * r21518; float r21520 = fma(r21516, r21517, r21519); float r21521 = r21498 - r21520; float r21522 = r21521 * r21497; float r21523 = sqrt(r21522); float r21524 = r21515 * r21523; float r21525 = r21494 ? r21514 : r21524; return r21525; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21526 = n; double r21527 = 2.676717885821386e-306; bool r21528 = r21526 <= r21527; double r21529 = 2; double r21530 = r21529 * r21526; double r21531 = U; double r21532 = t; double r21533 = l; double r21534 = r21533 * r21533; double r21535 = Om; double r21536 = r21534 / r21535; double r21537 = r21529 * r21536; double r21538 = r21532 - r21537; double r21539 = r21533 / r21535; double r21540 = r21526 * r21539; double r21541 = r21540 * r21539; double r21542 = U_; double r21543 = r21531 - r21542; double r21544 = r21541 * r21543; double r21545 = r21538 - r21544; double r21546 = r21531 * r21545; double r21547 = r21530 * r21546; double r21548 = sqrt(r21547); double r21549 = sqrt(r21530); double r21550 = r21539 * r21526; double r21551 = r21539 * r21543; double r21552 = r21533 + r21533; double r21553 = r21539 * r21552; double r21554 = fma(r21550, r21551, r21553); double r21555 = r21532 - r21554; double r21556 = r21555 * r21531; double r21557 = sqrt(r21556); double r21558 = r21549 * r21557; double r21559 = r21528 ? r21548 : r21558; return r21559; } 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 r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568, r21569, r21570, r21571, r21572, r21573, r21574, r21575, r21576, r21577, r21578, r21579, r21580; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21560, "2", 10, MPFR_RNDN); mpfr_init(r21561); mpfr_init(r21562); mpfr_init(r21563); mpfr_init(r21564); mpfr_init(r21565); mpfr_init(r21566); mpfr_init(r21567); mpfr_init(r21568); mpfr_init(r21569); mpfr_init(r21570); mpfr_init(r21571); mpfr_init(r21572); mpfr_init(r21573); mpfr_init(r21574); mpfr_init(r21575); mpfr_init(r21576); mpfr_init(r21577); mpfr_init(r21578); mpfr_init(r21579); mpfr_init(r21580); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21561, n, MPFR_RNDN); mpfr_mul(r21562, r21560, r21561, MPFR_RNDN); mpfr_set_d(r21563, U, MPFR_RNDN); mpfr_mul(r21564, r21562, r21563, MPFR_RNDN); mpfr_set_d(r21565, t, MPFR_RNDN); mpfr_set_d(r21566, l, MPFR_RNDN); mpfr_mul(r21567, r21566, r21566, MPFR_RNDN); mpfr_set_d(r21568, Om, MPFR_RNDN); mpfr_div(r21569, r21567, r21568, MPFR_RNDN); mpfr_mul(r21570, r21560, r21569, MPFR_RNDN); mpfr_sub(r21571, r21565, r21570, MPFR_RNDN); mpfr_div(r21572, r21566, r21568, MPFR_RNDN); mpfr_pow(r21573, r21572, r21560, MPFR_RNDN); mpfr_mul(r21574, r21561, r21573, MPFR_RNDN); mpfr_set_d(r21575, U_, MPFR_RNDN); mpfr_sub(r21576, r21563, r21575, MPFR_RNDN); mpfr_mul(r21577, r21574, r21576, MPFR_RNDN); mpfr_sub(r21578, r21571, r21577, MPFR_RNDN); mpfr_mul(r21579, r21564, r21578, MPFR_RNDN); mpfr_sqrt(r21580, r21579, MPFR_RNDN); return mpfr_get_d(r21580, MPFR_RNDN); } static mpfr_t r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21581); mpfr_init_set_str(r21582, "2.676717885821386e-306", 10, MPFR_RNDN); mpfr_init(r21583); mpfr_init_set_str(r21584, "2", 10, MPFR_RNDN); mpfr_init(r21585); mpfr_init(r21586); mpfr_init(r21587); mpfr_init(r21588); mpfr_init(r21589); mpfr_init(r21590); mpfr_init(r21591); mpfr_init(r21592); mpfr_init(r21593); mpfr_init(r21594); mpfr_init(r21595); mpfr_init(r21596); mpfr_init(r21597); mpfr_init(r21598); mpfr_init(r21599); mpfr_init(r21600); mpfr_init(r21601); mpfr_init(r21602); mpfr_init(r21603); mpfr_init(r21604); mpfr_init(r21605); mpfr_init(r21606); mpfr_init(r21607); mpfr_init(r21608); mpfr_init(r21609); mpfr_init(r21610); mpfr_init(r21611); mpfr_init(r21612); mpfr_init(r21613); mpfr_init(r21614); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21581, n, MPFR_RNDN); ; mpfr_set_si(r21583, mpfr_cmp(r21581, r21582) <= 0, MPFR_RNDN); ; mpfr_mul(r21585, r21584, r21581, MPFR_RNDN); mpfr_set_d(r21586, U, MPFR_RNDN); mpfr_set_d(r21587, t, MPFR_RNDN); mpfr_set_d(r21588, l, MPFR_RNDN); mpfr_mul(r21589, r21588, r21588, MPFR_RNDN); mpfr_set_d(r21590, Om, MPFR_RNDN); mpfr_div(r21591, r21589, r21590, MPFR_RNDN); mpfr_mul(r21592, r21584, r21591, MPFR_RNDN); mpfr_sub(r21593, r21587, r21592, MPFR_RNDN); mpfr_div(r21594, r21588, r21590, MPFR_RNDN); mpfr_mul(r21595, r21581, r21594, MPFR_RNDN); mpfr_mul(r21596, r21595, r21594, MPFR_RNDN); mpfr_set_d(r21597, U_, MPFR_RNDN); mpfr_sub(r21598, r21586, r21597, MPFR_RNDN); mpfr_mul(r21599, r21596, r21598, MPFR_RNDN); mpfr_sub(r21600, r21593, r21599, MPFR_RNDN); mpfr_mul(r21601, r21586, r21600, MPFR_RNDN); mpfr_mul(r21602, r21585, r21601, MPFR_RNDN); mpfr_sqrt(r21603, r21602, MPFR_RNDN); mpfr_sqrt(r21604, r21585, MPFR_RNDN); mpfr_mul(r21605, r21594, r21581, MPFR_RNDN); mpfr_mul(r21606, r21594, r21598, MPFR_RNDN); mpfr_add(r21607, r21588, r21588, MPFR_RNDN); mpfr_mul(r21608, r21594, r21607, MPFR_RNDN); mpfr_fma(r21609, r21605, r21606, r21608, MPFR_RNDN); mpfr_sub(r21610, r21587, r21609, MPFR_RNDN); mpfr_mul(r21611, r21610, r21586, MPFR_RNDN); mpfr_sqrt(r21612, r21611, MPFR_RNDN); mpfr_mul(r21613, r21604, r21612, MPFR_RNDN); if (mpfr_get_si(r21583, MPFR_RNDN)) { mpfr_set(r21614, r21603, MPFR_RNDN); } else { mpfr_set(r21614, r21613, MPFR_RNDN); }; return mpfr_get_d(r21614, MPFR_RNDN); } static mpfr_t r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21615); mpfr_init_set_str(r21616, "2.676717885821386e-306", 10, MPFR_RNDN); mpfr_init(r21617); mpfr_init_set_str(r21618, "2", 10, MPFR_RNDN); mpfr_init(r21619); mpfr_init(r21620); mpfr_init(r21621); mpfr_init(r21622); mpfr_init(r21623); mpfr_init(r21624); mpfr_init(r21625); mpfr_init(r21626); mpfr_init(r21627); mpfr_init(r21628); mpfr_init(r21629); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21615, n, MPFR_RNDN); ; mpfr_set_si(r21617, mpfr_cmp(r21615, r21616) <= 0, MPFR_RNDN); ; mpfr_mul(r21619, r21618, r21615, MPFR_RNDN); mpfr_set_d(r21620, U, MPFR_RNDN); mpfr_set_d(r21621, t, MPFR_RNDN); mpfr_set_d(r21622, l, MPFR_RNDN); mpfr_mul(r21623, r21622, r21622, MPFR_RNDN); mpfr_set_d(r21624, Om, MPFR_RNDN); mpfr_div(r21625, r21623, r21624, MPFR_RNDN); mpfr_mul(r21626, r21618, r21625, MPFR_RNDN); mpfr_sub(r21627, r21621, r21626, MPFR_RNDN); mpfr_div(r21628, r21622, r21624, MPFR_RNDN); mpfr_mul(r21629, r21615, r21628, MPFR_RNDN); mpfr_mul(r21630, r21629, r21628, MPFR_RNDN); mpfr_set_d(r21631, U_, MPFR_RNDN); mpfr_sub(r21632, r21620, r21631, MPFR_RNDN); mpfr_mul(r21633, r21630, r21632, MPFR_RNDN); mpfr_sub(r21634, r21627, r21633, MPFR_RNDN); mpfr_mul(r21635, r21620, r21634, MPFR_RNDN); mpfr_mul(r21636, r21619, r21635, MPFR_RNDN); mpfr_sqrt(r21637, r21636, MPFR_RNDN); mpfr_sqrt(r21638, r21619, MPFR_RNDN); mpfr_mul(r21639, r21628, r21615, MPFR_RNDN); mpfr_mul(r21640, r21628, r21632, MPFR_RNDN); mpfr_add(r21641, r21622, r21622, MPFR_RNDN); mpfr_mul(r21642, r21628, r21641, MPFR_RNDN); mpfr_fma(r21643, r21639, r21640, r21642, MPFR_RNDN); mpfr_sub(r21644, r21621, r21643, MPFR_RNDN); mpfr_mul(r21645, r21644, r21620, MPFR_RNDN); mpfr_sqrt(r21646, r21645, MPFR_RNDN); mpfr_mul(r21647, r21638, r21646, MPFR_RNDN); if (mpfr_get_si(r21617, MPFR_RNDN)) { mpfr_set(r21648, r21637, MPFR_RNDN); } else { mpfr_set(r21648, r21647, MPFR_RNDN); }; return mpfr_get_d(r21648, MPFR_RNDN); }