#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 r21616 = 2; float r21617 = n; float r21618 = r21616 * r21617; float r21619 = U; float r21620 = r21618 * r21619; float r21621 = t; float r21622 = l; float r21623 = r21622 * r21622; float r21624 = Om; float r21625 = r21623 / r21624; float r21626 = r21616 * r21625; float r21627 = r21621 - r21626; float r21628 = r21622 / r21624; float r21629 = pow(r21628, r21616); float r21630 = r21617 * r21629; float r21631 = U_; float r21632 = r21619 - r21631; float r21633 = r21630 * r21632; float r21634 = r21627 - r21633; float r21635 = r21620 * r21634; float r21636 = sqrt(r21635); return r21636; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21637 = 2; double r21638 = n; double r21639 = r21637 * r21638; double r21640 = U; double r21641 = r21639 * r21640; double r21642 = t; double r21643 = l; double r21644 = r21643 * r21643; double r21645 = Om; double r21646 = r21644 / r21645; double r21647 = r21637 * r21646; double r21648 = r21642 - r21647; double r21649 = r21643 / r21645; double r21650 = pow(r21649, r21637); double r21651 = r21638 * r21650; double r21652 = U_; double r21653 = r21640 - r21652; double r21654 = r21651 * r21653; double r21655 = r21648 - r21654; double r21656 = r21641 * r21655; double r21657 = sqrt(r21656); return r21657; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21658 = n; float r21659 = U; float r21660 = r21659 + r21659; float r21661 = r21658 * r21660; float r21662 = -5.544886607659936e-176; bool r21663 = r21661 <= r21662; float r21664 = 2; float r21665 = r21664 * r21658; float r21666 = r21665 * r21659; float r21667 = t; float r21668 = l; float r21669 = r21668 * r21668; float r21670 = Om; float r21671 = r21669 / r21670; float r21672 = r21664 * r21671; float r21673 = r21667 - r21672; float r21674 = r21668 / r21670; float r21675 = pow(r21674, r21664); float r21676 = r21658 * r21675; float r21677 = U_; float r21678 = r21659 - r21677; float r21679 = r21676 * r21678; float r21680 = r21673 - r21679; float r21681 = r21666 * r21680; float r21682 = cbrt(r21681); float r21683 = r21682 * r21682; float r21684 = r21683 * r21682; float r21685 = sqrt(r21684); float r21686 = 1.2904174104942012e-289; bool r21687 = r21661 <= r21686; float r21688 = r21659 * r21667; float r21689 = r21674 * r21659; float r21690 = -r21664; float r21691 = r21670 / r21658; float r21692 = r21678 / r21691; float r21693 = r21690 - r21692; float r21694 = r21668 * r21693; float r21695 = r21689 * r21694; float r21696 = r21688 + r21695; float r21697 = r21665 * r21696; float r21698 = sqrt(r21697); float r21699 = sqrt(r21666); float r21700 = sqrt(r21680); float r21701 = r21699 * r21700; float r21702 = r21687 ? r21698 : r21701; float r21703 = r21663 ? r21685 : r21702; return r21703; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21704 = n; double r21705 = U; double r21706 = r21705 + r21705; double r21707 = r21704 * r21706; double r21708 = -5.544886607659936e-176; bool r21709 = r21707 <= r21708; double r21710 = 2; double r21711 = r21710 * r21704; double r21712 = r21711 * r21705; double r21713 = t; double r21714 = l; double r21715 = r21714 * r21714; double r21716 = Om; double r21717 = r21715 / r21716; double r21718 = r21710 * r21717; double r21719 = r21713 - r21718; double r21720 = r21714 / r21716; double r21721 = pow(r21720, r21710); double r21722 = r21704 * r21721; double r21723 = U_; double r21724 = r21705 - r21723; double r21725 = r21722 * r21724; double r21726 = r21719 - r21725; double r21727 = r21712 * r21726; double r21728 = cbrt(r21727); double r21729 = r21728 * r21728; double r21730 = r21729 * r21728; double r21731 = sqrt(r21730); double r21732 = 1.2904174104942012e-289; bool r21733 = r21707 <= r21732; double r21734 = r21705 * r21713; double r21735 = r21720 * r21705; double r21736 = -r21710; double r21737 = r21716 / r21704; double r21738 = r21724 / r21737; double r21739 = r21736 - r21738; double r21740 = r21714 * r21739; double r21741 = r21735 * r21740; double r21742 = r21734 + r21741; double r21743 = r21711 * r21742; double r21744 = sqrt(r21743); double r21745 = sqrt(r21712); double r21746 = sqrt(r21726); double r21747 = r21745 * r21746; double r21748 = r21733 ? r21744 : r21747; double r21749 = r21709 ? r21731 : r21748; return r21749; } 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 r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760, r21761, r21762, r21763, r21764, r21765, r21766, r21767, r21768, r21769, r21770; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21750, "2", 10, MPFR_RNDN); 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(r21765); mpfr_init(r21766); mpfr_init(r21767); mpfr_init(r21768); mpfr_init(r21769); mpfr_init(r21770); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21751, n, MPFR_RNDN); mpfr_mul(r21752, r21750, r21751, MPFR_RNDN); mpfr_set_d(r21753, U, MPFR_RNDN); mpfr_mul(r21754, r21752, r21753, MPFR_RNDN); mpfr_set_d(r21755, t, MPFR_RNDN); mpfr_set_d(r21756, l, MPFR_RNDN); mpfr_mul(r21757, r21756, r21756, MPFR_RNDN); mpfr_set_d(r21758, Om, MPFR_RNDN); mpfr_div(r21759, r21757, r21758, MPFR_RNDN); mpfr_mul(r21760, r21750, r21759, MPFR_RNDN); mpfr_sub(r21761, r21755, r21760, MPFR_RNDN); mpfr_div(r21762, r21756, r21758, MPFR_RNDN); mpfr_pow(r21763, r21762, r21750, MPFR_RNDN); mpfr_mul(r21764, r21751, r21763, MPFR_RNDN); mpfr_set_d(r21765, U_, MPFR_RNDN); mpfr_sub(r21766, r21753, r21765, MPFR_RNDN); mpfr_mul(r21767, r21764, r21766, MPFR_RNDN); mpfr_sub(r21768, r21761, r21767, MPFR_RNDN); mpfr_mul(r21769, r21754, r21768, MPFR_RNDN); mpfr_sqrt(r21770, r21769, MPFR_RNDN); return mpfr_get_d(r21770, MPFR_RNDN); } static mpfr_t r21771, r21772, r21773, r21774, r21775, r21776, r21777, r21778, r21779, r21780, r21781, r21782, r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21771); mpfr_init(r21772); mpfr_init(r21773); mpfr_init(r21774); mpfr_init_set_str(r21775, "-5.544886607659936e-176", 10, MPFR_RNDN); mpfr_init(r21776); mpfr_init_set_str(r21777, "2", 10, MPFR_RNDN); mpfr_init(r21778); mpfr_init(r21779); mpfr_init(r21780); mpfr_init(r21781); mpfr_init(r21782); mpfr_init(r21783); mpfr_init(r21784); mpfr_init(r21785); mpfr_init(r21786); mpfr_init(r21787); mpfr_init(r21788); mpfr_init(r21789); mpfr_init(r21790); mpfr_init(r21791); mpfr_init(r21792); mpfr_init(r21793); mpfr_init(r21794); mpfr_init(r21795); mpfr_init(r21796); mpfr_init(r21797); mpfr_init(r21798); mpfr_init_set_str(r21799, "1.2904174104942012e-289", 10, MPFR_RNDN); mpfr_init(r21800); mpfr_init(r21801); mpfr_init(r21802); mpfr_init(r21803); mpfr_init(r21804); mpfr_init(r21805); mpfr_init(r21806); mpfr_init(r21807); mpfr_init(r21808); mpfr_init(r21809); mpfr_init(r21810); mpfr_init(r21811); mpfr_init(r21812); mpfr_init(r21813); mpfr_init(r21814); mpfr_init(r21815); mpfr_init(r21816); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21771, n, MPFR_RNDN); mpfr_set_d(r21772, U, MPFR_RNDN); mpfr_add(r21773, r21772, r21772, MPFR_RNDN); mpfr_mul(r21774, r21771, r21773, MPFR_RNDN); ; mpfr_set_si(r21776, mpfr_cmp(r21774, r21775) <= 0, MPFR_RNDN); ; mpfr_mul(r21778, r21777, r21771, MPFR_RNDN); mpfr_mul(r21779, r21778, r21772, MPFR_RNDN); mpfr_set_d(r21780, t, MPFR_RNDN); mpfr_set_d(r21781, l, MPFR_RNDN); mpfr_mul(r21782, r21781, r21781, MPFR_RNDN); mpfr_set_d(r21783, Om, MPFR_RNDN); mpfr_div(r21784, r21782, r21783, MPFR_RNDN); mpfr_mul(r21785, r21777, r21784, MPFR_RNDN); mpfr_sub(r21786, r21780, r21785, MPFR_RNDN); mpfr_div(r21787, r21781, r21783, MPFR_RNDN); mpfr_pow(r21788, r21787, r21777, MPFR_RNDN); mpfr_mul(r21789, r21771, r21788, MPFR_RNDN); mpfr_set_d(r21790, U_, MPFR_RNDN); mpfr_sub(r21791, r21772, r21790, MPFR_RNDN); mpfr_mul(r21792, r21789, r21791, MPFR_RNDN); mpfr_sub(r21793, r21786, r21792, MPFR_RNDN); mpfr_mul(r21794, r21779, r21793, MPFR_RNDN); mpfr_cbrt(r21795, r21794, MPFR_RNDN); mpfr_mul(r21796, r21795, r21795, MPFR_RNDN); mpfr_mul(r21797, r21796, r21795, MPFR_RNDN); mpfr_sqrt(r21798, r21797, MPFR_RNDN); ; mpfr_set_si(r21800, mpfr_cmp(r21774, r21799) <= 0, MPFR_RNDN); mpfr_mul(r21801, r21772, r21780, MPFR_RNDN); mpfr_mul(r21802, r21787, r21772, MPFR_RNDN); mpfr_neg(r21803, r21777, MPFR_RNDN); mpfr_div(r21804, r21783, r21771, MPFR_RNDN); mpfr_div(r21805, r21791, r21804, MPFR_RNDN); mpfr_sub(r21806, r21803, r21805, MPFR_RNDN); mpfr_mul(r21807, r21781, r21806, MPFR_RNDN); mpfr_mul(r21808, r21802, r21807, MPFR_RNDN); mpfr_add(r21809, r21801, r21808, MPFR_RNDN); mpfr_mul(r21810, r21778, r21809, MPFR_RNDN); mpfr_sqrt(r21811, r21810, MPFR_RNDN); mpfr_sqrt(r21812, r21779, MPFR_RNDN); mpfr_sqrt(r21813, r21793, MPFR_RNDN); mpfr_mul(r21814, r21812, r21813, MPFR_RNDN); if (mpfr_get_si(r21800, MPFR_RNDN)) { mpfr_set(r21815, r21811, MPFR_RNDN); } else { mpfr_set(r21815, r21814, MPFR_RNDN); }; if (mpfr_get_si(r21776, MPFR_RNDN)) { mpfr_set(r21816, r21798, MPFR_RNDN); } else { mpfr_set(r21816, r21815, MPFR_RNDN); }; return mpfr_get_d(r21816, MPFR_RNDN); } static mpfr_t r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21817); mpfr_init(r21818); mpfr_init(r21819); mpfr_init(r21820); mpfr_init_set_str(r21821, "-5.544886607659936e-176", 10, MPFR_RNDN); mpfr_init(r21822); mpfr_init_set_str(r21823, "2", 10, MPFR_RNDN); mpfr_init(r21824); mpfr_init(r21825); mpfr_init(r21826); mpfr_init(r21827); mpfr_init(r21828); mpfr_init(r21829); mpfr_init(r21830); mpfr_init(r21831); mpfr_init(r21832); mpfr_init(r21833); mpfr_init(r21834); mpfr_init(r21835); mpfr_init(r21836); mpfr_init(r21837); mpfr_init(r21838); mpfr_init(r21839); mpfr_init(r21840); mpfr_init(r21841); mpfr_init(r21842); mpfr_init(r21843); mpfr_init(r21844); mpfr_init_set_str(r21845, "1.2904174104942012e-289", 10, MPFR_RNDN); mpfr_init(r21846); mpfr_init(r21847); mpfr_init(r21848); mpfr_init(r21849); mpfr_init(r21850); mpfr_init(r21851); mpfr_init(r21852); mpfr_init(r21853); mpfr_init(r21854); mpfr_init(r21855); mpfr_init(r21856); mpfr_init(r21857); mpfr_init(r21858); mpfr_init(r21859); mpfr_init(r21860); mpfr_init(r21861); mpfr_init(r21862); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21817, n, MPFR_RNDN); mpfr_set_d(r21818, U, MPFR_RNDN); mpfr_add(r21819, r21818, r21818, MPFR_RNDN); mpfr_mul(r21820, r21817, r21819, MPFR_RNDN); ; mpfr_set_si(r21822, mpfr_cmp(r21820, r21821) <= 0, MPFR_RNDN); ; mpfr_mul(r21824, r21823, r21817, MPFR_RNDN); mpfr_mul(r21825, r21824, r21818, MPFR_RNDN); mpfr_set_d(r21826, t, MPFR_RNDN); mpfr_set_d(r21827, l, MPFR_RNDN); mpfr_mul(r21828, r21827, r21827, MPFR_RNDN); mpfr_set_d(r21829, Om, MPFR_RNDN); mpfr_div(r21830, r21828, r21829, MPFR_RNDN); mpfr_mul(r21831, r21823, r21830, MPFR_RNDN); mpfr_sub(r21832, r21826, r21831, MPFR_RNDN); mpfr_div(r21833, r21827, r21829, MPFR_RNDN); mpfr_pow(r21834, r21833, r21823, MPFR_RNDN); mpfr_mul(r21835, r21817, r21834, MPFR_RNDN); mpfr_set_d(r21836, U_, MPFR_RNDN); mpfr_sub(r21837, r21818, r21836, MPFR_RNDN); mpfr_mul(r21838, r21835, r21837, MPFR_RNDN); mpfr_sub(r21839, r21832, r21838, MPFR_RNDN); mpfr_mul(r21840, r21825, r21839, MPFR_RNDN); mpfr_cbrt(r21841, r21840, MPFR_RNDN); mpfr_mul(r21842, r21841, r21841, MPFR_RNDN); mpfr_mul(r21843, r21842, r21841, MPFR_RNDN); mpfr_sqrt(r21844, r21843, MPFR_RNDN); ; mpfr_set_si(r21846, mpfr_cmp(r21820, r21845) <= 0, MPFR_RNDN); mpfr_mul(r21847, r21818, r21826, MPFR_RNDN); mpfr_mul(r21848, r21833, r21818, MPFR_RNDN); mpfr_neg(r21849, r21823, MPFR_RNDN); mpfr_div(r21850, r21829, r21817, MPFR_RNDN); mpfr_div(r21851, r21837, r21850, MPFR_RNDN); mpfr_sub(r21852, r21849, r21851, MPFR_RNDN); mpfr_mul(r21853, r21827, r21852, MPFR_RNDN); mpfr_mul(r21854, r21848, r21853, MPFR_RNDN); mpfr_add(r21855, r21847, r21854, MPFR_RNDN); mpfr_mul(r21856, r21824, r21855, MPFR_RNDN); mpfr_sqrt(r21857, r21856, MPFR_RNDN); mpfr_sqrt(r21858, r21825, MPFR_RNDN); mpfr_sqrt(r21859, r21839, MPFR_RNDN); mpfr_mul(r21860, r21858, r21859, MPFR_RNDN); if (mpfr_get_si(r21846, MPFR_RNDN)) { mpfr_set(r21861, r21857, MPFR_RNDN); } else { mpfr_set(r21861, r21860, MPFR_RNDN); }; if (mpfr_get_si(r21822, MPFR_RNDN)) { mpfr_set(r21862, r21844, MPFR_RNDN); } else { mpfr_set(r21862, r21861, MPFR_RNDN); }; return mpfr_get_d(r21862, MPFR_RNDN); }