#include #include #include #include #include char *name = "Toniolo and Linder, Equation (2)"; double f_if(float t, float l, float Om, float Omc) { float r22511 = 1; float r22512 = Om; float r22513 = Omc; float r22514 = r22512 / r22513; float r22515 = 2; float r22516 = pow(r22514, r22515); float r22517 = r22511 - r22516; float r22518 = t; float r22519 = l; float r22520 = r22518 / r22519; float r22521 = pow(r22520, r22515); float r22522 = r22515 * r22521; float r22523 = r22511 + r22522; float r22524 = r22517 / r22523; float r22525 = sqrt(r22524); float r22526 = asin(r22525); return r22526; } double f_id(double t, double l, double Om, double Omc) { double r22527 = 1; double r22528 = Om; double r22529 = Omc; double r22530 = r22528 / r22529; double r22531 = 2; double r22532 = pow(r22530, r22531); double r22533 = r22527 - r22532; double r22534 = t; double r22535 = l; double r22536 = r22534 / r22535; double r22537 = pow(r22536, r22531); double r22538 = r22531 * r22537; double r22539 = r22527 + r22538; double r22540 = r22533 / r22539; double r22541 = sqrt(r22540); double r22542 = asin(r22541); return r22542; } double f_of(float t, float l, float Om, float Omc) { float r22543 = 1/6; float r22544 = 1/3; float r22545 = r22543 + r22544; float r22546 = 1/2; float r22547 = log(r22546); float r22548 = 2; float r22549 = t; float r22550 = log(r22549); float r22551 = r22548 * r22550; float r22552 = l; float r22553 = log(r22552); float r22554 = r22548 * r22553; float r22555 = r22551 - r22554; float r22556 = r22547 - r22555; float r22557 = r22545 * r22556; float r22558 = exp(r22557); float r22559 = 1; float r22560 = Om; float r22561 = Omc; float r22562 = r22559 / r22561; float r22563 = r22560 * r22562; float r22564 = r22563 * r22563; float r22565 = r22559 - r22564; float r22566 = sqrt(r22565); float r22567 = r22558 * r22566; float r22568 = asin(r22567); float r22569 = 2.068721797526652e-207; bool r22570 = r22568 <= r22569; float r22571 = r22560 / r22561; float r22572 = pow(r22571, r22548); float r22573 = r22559 - r22572; float r22574 = r22549 / r22552; float r22575 = pow(r22574, r22548); float r22576 = r22548 * r22575; float r22577 = r22559 + r22576; float r22578 = r22573 / r22577; float r22579 = sqrt(r22578); float r22580 = asin(r22579); float r22581 = r22570 ? r22568 : r22580; return r22581; } double f_od(double t, double l, double Om, double Omc) { double r22582 = 1/6; double r22583 = 1/3; double r22584 = r22582 + r22583; double r22585 = 1/2; double r22586 = log(r22585); double r22587 = 2; double r22588 = t; double r22589 = log(r22588); double r22590 = r22587 * r22589; double r22591 = l; double r22592 = log(r22591); double r22593 = r22587 * r22592; double r22594 = r22590 - r22593; double r22595 = r22586 - r22594; double r22596 = r22584 * r22595; double r22597 = exp(r22596); double r22598 = 1; double r22599 = Om; double r22600 = Omc; double r22601 = r22598 / r22600; double r22602 = r22599 * r22601; double r22603 = r22602 * r22602; double r22604 = r22598 - r22603; double r22605 = sqrt(r22604); double r22606 = r22597 * r22605; double r22607 = asin(r22606); double r22608 = 2.068721797526652e-207; bool r22609 = r22607 <= r22608; double r22610 = r22599 / r22600; double r22611 = pow(r22610, r22587); double r22612 = r22598 - r22611; double r22613 = r22588 / r22591; double r22614 = pow(r22613, r22587); double r22615 = r22587 * r22614; double r22616 = r22598 + r22615; double r22617 = r22612 / r22616; double r22618 = sqrt(r22617); double r22619 = asin(r22618); double r22620 = r22609 ? r22607 : r22619; return r22620; } 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 r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22621, "1", 10, MPFR_RNDN); mpfr_init(r22622); mpfr_init(r22623); mpfr_init(r22624); mpfr_init_set_str(r22625, "2", 10, MPFR_RNDN); 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); } double f_im(double t, double l, double Om, double Omc) { ; mpfr_set_d(r22622, Om, MPFR_RNDN); mpfr_set_d(r22623, Omc, MPFR_RNDN); mpfr_div(r22624, r22622, r22623, MPFR_RNDN); ; mpfr_pow(r22626, r22624, r22625, MPFR_RNDN); mpfr_sub(r22627, r22621, r22626, MPFR_RNDN); mpfr_set_d(r22628, t, MPFR_RNDN); mpfr_set_d(r22629, l, MPFR_RNDN); mpfr_div(r22630, r22628, r22629, MPFR_RNDN); mpfr_pow(r22631, r22630, r22625, MPFR_RNDN); mpfr_mul(r22632, r22625, r22631, MPFR_RNDN); mpfr_add(r22633, r22621, r22632, MPFR_RNDN); mpfr_div(r22634, r22627, r22633, MPFR_RNDN); mpfr_sqrt(r22635, r22634, MPFR_RNDN); mpfr_asin(r22636, r22635, MPFR_RNDN); return mpfr_get_d(r22636, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22637, "1/6", 10, MPFR_RNDN); mpfr_init_set_str(r22638, "1/3", 10, MPFR_RNDN); mpfr_init(r22639); mpfr_init_set_str(r22640, "1/2", 10, MPFR_RNDN); mpfr_init(r22641); mpfr_init_set_str(r22642, "2", 10, MPFR_RNDN); mpfr_init(r22643); mpfr_init(r22644); mpfr_init(r22645); mpfr_init(r22646); mpfr_init(r22647); mpfr_init(r22648); mpfr_init(r22649); mpfr_init(r22650); mpfr_init(r22651); mpfr_init(r22652); mpfr_init_set_str(r22653, "1", 10, MPFR_RNDN); 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_set_str(r22663, "2.068721797526652e-207", 10, MPFR_RNDN); 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); } double f_fm(double t, double l, double Om, double Omc) { ; ; mpfr_add(r22639, r22637, r22638, MPFR_RNDN); ; mpfr_log(r22641, r22640, MPFR_RNDN); ; mpfr_set_d(r22643, t, MPFR_RNDN); mpfr_log(r22644, r22643, MPFR_RNDN); mpfr_mul(r22645, r22642, r22644, MPFR_RNDN); mpfr_set_d(r22646, l, MPFR_RNDN); mpfr_log(r22647, r22646, MPFR_RNDN); mpfr_mul(r22648, r22642, r22647, MPFR_RNDN); mpfr_sub(r22649, r22645, r22648, MPFR_RNDN); mpfr_sub(r22650, r22641, r22649, MPFR_RNDN); mpfr_mul(r22651, r22639, r22650, MPFR_RNDN); mpfr_exp(r22652, r22651, MPFR_RNDN); ; mpfr_set_d(r22654, Om, MPFR_RNDN); mpfr_set_d(r22655, Omc, MPFR_RNDN); mpfr_div(r22656, r22653, r22655, MPFR_RNDN); mpfr_mul(r22657, r22654, r22656, MPFR_RNDN); mpfr_mul(r22658, r22657, r22657, MPFR_RNDN); mpfr_sub(r22659, r22653, r22658, MPFR_RNDN); mpfr_sqrt(r22660, r22659, MPFR_RNDN); mpfr_mul(r22661, r22652, r22660, MPFR_RNDN); mpfr_asin(r22662, r22661, MPFR_RNDN); ; mpfr_set_si(r22664, mpfr_cmp(r22662, r22663) <= 0, MPFR_RNDN); mpfr_div(r22665, r22654, r22655, MPFR_RNDN); mpfr_pow(r22666, r22665, r22642, MPFR_RNDN); mpfr_sub(r22667, r22653, r22666, MPFR_RNDN); mpfr_div(r22668, r22643, r22646, MPFR_RNDN); mpfr_pow(r22669, r22668, r22642, MPFR_RNDN); mpfr_mul(r22670, r22642, r22669, MPFR_RNDN); mpfr_add(r22671, r22653, r22670, MPFR_RNDN); mpfr_div(r22672, r22667, r22671, MPFR_RNDN); mpfr_sqrt(r22673, r22672, MPFR_RNDN); mpfr_asin(r22674, r22673, MPFR_RNDN); if (mpfr_get_si(r22664, MPFR_RNDN)) { mpfr_set(r22675, r22662, MPFR_RNDN); } else { mpfr_set(r22675, r22674, MPFR_RNDN); }; return mpfr_get_d(r22675, MPFR_RNDN); } static mpfr_t r22676, r22677, r22678, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22676, "1/6", 10, MPFR_RNDN); mpfr_init_set_str(r22677, "1/3", 10, MPFR_RNDN); mpfr_init(r22678); mpfr_init_set_str(r22679, "1/2", 10, MPFR_RNDN); mpfr_init(r22680); mpfr_init_set_str(r22681, "2", 10, MPFR_RNDN); 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_set_str(r22692, "1", 10, MPFR_RNDN); 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(r22701); mpfr_init_set_str(r22702, "2.068721797526652e-207", 10, MPFR_RNDN); mpfr_init(r22703); 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); } double f_dm(double t, double l, double Om, double Omc) { ; ; mpfr_add(r22678, r22676, r22677, MPFR_RNDN); ; mpfr_log(r22680, r22679, MPFR_RNDN); ; mpfr_set_d(r22682, t, MPFR_RNDN); mpfr_log(r22683, r22682, MPFR_RNDN); mpfr_mul(r22684, r22681, r22683, MPFR_RNDN); mpfr_set_d(r22685, l, MPFR_RNDN); mpfr_log(r22686, r22685, MPFR_RNDN); mpfr_mul(r22687, r22681, r22686, MPFR_RNDN); mpfr_sub(r22688, r22684, r22687, MPFR_RNDN); mpfr_sub(r22689, r22680, r22688, MPFR_RNDN); mpfr_mul(r22690, r22678, r22689, MPFR_RNDN); mpfr_exp(r22691, r22690, MPFR_RNDN); ; mpfr_set_d(r22693, Om, MPFR_RNDN); mpfr_set_d(r22694, Omc, MPFR_RNDN); mpfr_div(r22695, r22692, r22694, MPFR_RNDN); mpfr_mul(r22696, r22693, r22695, MPFR_RNDN); mpfr_mul(r22697, r22696, r22696, MPFR_RNDN); mpfr_sub(r22698, r22692, r22697, MPFR_RNDN); mpfr_sqrt(r22699, r22698, MPFR_RNDN); mpfr_mul(r22700, r22691, r22699, MPFR_RNDN); mpfr_asin(r22701, r22700, MPFR_RNDN); ; mpfr_set_si(r22703, mpfr_cmp(r22701, r22702) <= 0, MPFR_RNDN); mpfr_div(r22704, r22693, r22694, MPFR_RNDN); mpfr_pow(r22705, r22704, r22681, MPFR_RNDN); mpfr_sub(r22706, r22692, r22705, MPFR_RNDN); mpfr_div(r22707, r22682, r22685, MPFR_RNDN); mpfr_pow(r22708, r22707, r22681, MPFR_RNDN); mpfr_mul(r22709, r22681, r22708, MPFR_RNDN); mpfr_add(r22710, r22692, r22709, MPFR_RNDN); mpfr_div(r22711, r22706, r22710, MPFR_RNDN); mpfr_sqrt(r22712, r22711, MPFR_RNDN); mpfr_asin(r22713, r22712, MPFR_RNDN); if (mpfr_get_si(r22703, MPFR_RNDN)) { mpfr_set(r22714, r22701, MPFR_RNDN); } else { mpfr_set(r22714, r22713, MPFR_RNDN); }; return mpfr_get_d(r22714, MPFR_RNDN); }