#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 r21626 = 2; float r21627 = n; float r21628 = r21626 * r21627; float r21629 = U; float r21630 = r21628 * r21629; float r21631 = t; float r21632 = l; float r21633 = r21632 * r21632; float r21634 = Om; float r21635 = r21633 / r21634; float r21636 = r21626 * r21635; float r21637 = r21631 - r21636; float r21638 = r21632 / r21634; float r21639 = pow(r21638, r21626); float r21640 = r21627 * r21639; float r21641 = U_; float r21642 = r21629 - r21641; float r21643 = r21640 * r21642; float r21644 = r21637 - r21643; float r21645 = r21630 * r21644; float r21646 = sqrt(r21645); return r21646; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r21647 = 2; double r21648 = n; double r21649 = r21647 * r21648; double r21650 = U; double r21651 = r21649 * r21650; double r21652 = t; double r21653 = l; double r21654 = r21653 * r21653; double r21655 = Om; double r21656 = r21654 / r21655; double r21657 = r21647 * r21656; double r21658 = r21652 - r21657; double r21659 = r21653 / r21655; double r21660 = pow(r21659, r21647); double r21661 = r21648 * r21660; double r21662 = U_; double r21663 = r21650 - r21662; double r21664 = r21661 * r21663; double r21665 = r21658 - r21664; double r21666 = r21651 * r21665; double r21667 = sqrt(r21666); return r21667; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r21668 = n; float r21669 = r21668 + r21668; float r21670 = U; float r21671 = r21669 * r21670; float r21672 = -8.226521815438212e-147; bool r21673 = r21671 <= r21672; float r21674 = 2; float r21675 = r21674 * r21668; float r21676 = r21675 * r21670; float r21677 = t; float r21678 = l; float r21679 = Om; float r21680 = r21679 / r21678; float r21681 = r21678 / r21680; float r21682 = r21674 * r21681; float r21683 = r21677 - r21682; float r21684 = r21678 / r21679; float r21685 = pow(r21684, r21674); float r21686 = r21668 * r21685; float r21687 = U_; float r21688 = r21670 - r21687; float r21689 = r21686 * r21688; float r21690 = r21683 - r21689; float r21691 = r21676 * r21690; float r21692 = sqrt(r21691); float r21693 = cbrt(r21692); float r21694 = r21693 * r21693; float r21695 = r21694 * r21693; float r21696 = 2.9280009995748e-317; bool r21697 = r21671 <= r21696; float r21698 = r21670 * r21690; float r21699 = r21675 * r21698; float r21700 = sqrt(r21699); float r21701 = sqrt(r21676); float r21702 = sqrt(r21690); float r21703 = r21701 * r21702; float r21704 = r21697 ? r21700 : r21703; float r21705 = r21673 ? r21695 : r21704; return r21705; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r21706 = n; double r21707 = r21706 + r21706; double r21708 = U; double r21709 = r21707 * r21708; double r21710 = -8.226521815438212e-147; bool r21711 = r21709 <= r21710; double r21712 = 2; double r21713 = r21712 * r21706; double r21714 = r21713 * r21708; double r21715 = t; double r21716 = l; double r21717 = Om; double r21718 = r21717 / r21716; double r21719 = r21716 / r21718; double r21720 = r21712 * r21719; double r21721 = r21715 - r21720; double r21722 = r21716 / r21717; double r21723 = pow(r21722, r21712); double r21724 = r21706 * r21723; double r21725 = U_; double r21726 = r21708 - r21725; double r21727 = r21724 * r21726; double r21728 = r21721 - r21727; double r21729 = r21714 * r21728; double r21730 = sqrt(r21729); double r21731 = cbrt(r21730); double r21732 = r21731 * r21731; double r21733 = r21732 * r21731; double r21734 = 2.9280009995748e-317; bool r21735 = r21709 <= r21734; double r21736 = r21708 * r21728; double r21737 = r21713 * r21736; double r21738 = sqrt(r21737); double r21739 = sqrt(r21714); double r21740 = sqrt(r21728); double r21741 = r21739 * r21740; double r21742 = r21735 ? r21738 : r21741; double r21743 = r21711 ? r21733 : r21742; return r21743; } 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 r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760, r21761, r21762, r21763, r21764; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21744, "2", 10, MPFR_RNDN); mpfr_init(r21745); mpfr_init(r21746); 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); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r21745, n, MPFR_RNDN); mpfr_mul(r21746, r21744, r21745, MPFR_RNDN); mpfr_set_d(r21747, U, MPFR_RNDN); mpfr_mul(r21748, r21746, r21747, MPFR_RNDN); mpfr_set_d(r21749, t, MPFR_RNDN); mpfr_set_d(r21750, l, MPFR_RNDN); mpfr_mul(r21751, r21750, r21750, MPFR_RNDN); mpfr_set_d(r21752, Om, MPFR_RNDN); mpfr_div(r21753, r21751, r21752, MPFR_RNDN); mpfr_mul(r21754, r21744, r21753, MPFR_RNDN); mpfr_sub(r21755, r21749, r21754, MPFR_RNDN); mpfr_div(r21756, r21750, r21752, MPFR_RNDN); mpfr_pow(r21757, r21756, r21744, MPFR_RNDN); mpfr_mul(r21758, r21745, r21757, MPFR_RNDN); mpfr_set_d(r21759, U_, MPFR_RNDN); mpfr_sub(r21760, r21747, r21759, MPFR_RNDN); mpfr_mul(r21761, r21758, r21760, MPFR_RNDN); mpfr_sub(r21762, r21755, r21761, MPFR_RNDN); mpfr_mul(r21763, r21748, r21762, MPFR_RNDN); mpfr_sqrt(r21764, r21763, MPFR_RNDN); return mpfr_get_d(r21764, MPFR_RNDN); } static mpfr_t r21765, r21766, r21767, r21768, r21769, r21770, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r21765); mpfr_init(r21766); mpfr_init(r21767); mpfr_init(r21768); mpfr_init_set_str(r21769, "-8.226521815438212e-147", 10, MPFR_RNDN); mpfr_init(r21770); mpfr_init_set_str(r21771, "2", 10, MPFR_RNDN); 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); 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_set_str(r21793, "2.9280009995748e-317", 10, MPFR_RNDN); mpfr_init(r21794); mpfr_init(r21795); mpfr_init(r21796); mpfr_init(r21797); mpfr_init(r21798); mpfr_init(r21799); mpfr_init(r21800); mpfr_init(r21801); mpfr_init(r21802); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21765, n, MPFR_RNDN); mpfr_add(r21766, r21765, r21765, MPFR_RNDN); mpfr_set_d(r21767, U, MPFR_RNDN); mpfr_mul(r21768, r21766, r21767, MPFR_RNDN); ; mpfr_set_si(r21770, mpfr_cmp(r21768, r21769) <= 0, MPFR_RNDN); ; mpfr_mul(r21772, r21771, r21765, MPFR_RNDN); mpfr_mul(r21773, r21772, r21767, MPFR_RNDN); mpfr_set_d(r21774, t, MPFR_RNDN); mpfr_set_d(r21775, l, MPFR_RNDN); mpfr_set_d(r21776, Om, MPFR_RNDN); mpfr_div(r21777, r21776, r21775, MPFR_RNDN); mpfr_div(r21778, r21775, r21777, MPFR_RNDN); mpfr_mul(r21779, r21771, r21778, MPFR_RNDN); mpfr_sub(r21780, r21774, r21779, MPFR_RNDN); mpfr_div(r21781, r21775, r21776, MPFR_RNDN); mpfr_pow(r21782, r21781, r21771, MPFR_RNDN); mpfr_mul(r21783, r21765, r21782, MPFR_RNDN); mpfr_set_d(r21784, U_, MPFR_RNDN); mpfr_sub(r21785, r21767, r21784, MPFR_RNDN); mpfr_mul(r21786, r21783, r21785, MPFR_RNDN); mpfr_sub(r21787, r21780, r21786, MPFR_RNDN); mpfr_mul(r21788, r21773, r21787, MPFR_RNDN); mpfr_sqrt(r21789, r21788, MPFR_RNDN); mpfr_cbrt(r21790, r21789, MPFR_RNDN); mpfr_mul(r21791, r21790, r21790, MPFR_RNDN); mpfr_mul(r21792, r21791, r21790, MPFR_RNDN); ; mpfr_set_si(r21794, mpfr_cmp(r21768, r21793) <= 0, MPFR_RNDN); mpfr_mul(r21795, r21767, r21787, MPFR_RNDN); mpfr_mul(r21796, r21772, r21795, MPFR_RNDN); mpfr_sqrt(r21797, r21796, MPFR_RNDN); mpfr_sqrt(r21798, r21773, MPFR_RNDN); mpfr_sqrt(r21799, r21787, MPFR_RNDN); mpfr_mul(r21800, r21798, r21799, MPFR_RNDN); if (mpfr_get_si(r21794, MPFR_RNDN)) { mpfr_set(r21801, r21797, MPFR_RNDN); } else { mpfr_set(r21801, r21800, MPFR_RNDN); }; if (mpfr_get_si(r21770, MPFR_RNDN)) { mpfr_set(r21802, r21792, MPFR_RNDN); } else { mpfr_set(r21802, r21801, MPFR_RNDN); }; return mpfr_get_d(r21802, MPFR_RNDN); } static mpfr_t r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r21803); mpfr_init(r21804); mpfr_init(r21805); mpfr_init(r21806); mpfr_init_set_str(r21807, "-8.226521815438212e-147", 10, MPFR_RNDN); mpfr_init(r21808); mpfr_init_set_str(r21809, "2", 10, MPFR_RNDN); mpfr_init(r21810); mpfr_init(r21811); mpfr_init(r21812); mpfr_init(r21813); mpfr_init(r21814); mpfr_init(r21815); mpfr_init(r21816); mpfr_init(r21817); mpfr_init(r21818); mpfr_init(r21819); mpfr_init(r21820); mpfr_init(r21821); mpfr_init(r21822); mpfr_init(r21823); mpfr_init(r21824); mpfr_init(r21825); mpfr_init(r21826); mpfr_init(r21827); mpfr_init(r21828); mpfr_init(r21829); mpfr_init(r21830); mpfr_init_set_str(r21831, "2.9280009995748e-317", 10, MPFR_RNDN); 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); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r21803, n, MPFR_RNDN); mpfr_add(r21804, r21803, r21803, MPFR_RNDN); mpfr_set_d(r21805, U, MPFR_RNDN); mpfr_mul(r21806, r21804, r21805, MPFR_RNDN); ; mpfr_set_si(r21808, mpfr_cmp(r21806, r21807) <= 0, MPFR_RNDN); ; mpfr_mul(r21810, r21809, r21803, MPFR_RNDN); mpfr_mul(r21811, r21810, r21805, MPFR_RNDN); mpfr_set_d(r21812, t, MPFR_RNDN); mpfr_set_d(r21813, l, MPFR_RNDN); mpfr_set_d(r21814, Om, MPFR_RNDN); mpfr_div(r21815, r21814, r21813, MPFR_RNDN); mpfr_div(r21816, r21813, r21815, MPFR_RNDN); mpfr_mul(r21817, r21809, r21816, MPFR_RNDN); mpfr_sub(r21818, r21812, r21817, MPFR_RNDN); mpfr_div(r21819, r21813, r21814, MPFR_RNDN); mpfr_pow(r21820, r21819, r21809, MPFR_RNDN); mpfr_mul(r21821, r21803, r21820, MPFR_RNDN); mpfr_set_d(r21822, U_, MPFR_RNDN); mpfr_sub(r21823, r21805, r21822, MPFR_RNDN); mpfr_mul(r21824, r21821, r21823, MPFR_RNDN); mpfr_sub(r21825, r21818, r21824, MPFR_RNDN); mpfr_mul(r21826, r21811, r21825, MPFR_RNDN); mpfr_sqrt(r21827, r21826, MPFR_RNDN); mpfr_cbrt(r21828, r21827, MPFR_RNDN); mpfr_mul(r21829, r21828, r21828, MPFR_RNDN); mpfr_mul(r21830, r21829, r21828, MPFR_RNDN); ; mpfr_set_si(r21832, mpfr_cmp(r21806, r21831) <= 0, MPFR_RNDN); mpfr_mul(r21833, r21805, r21825, MPFR_RNDN); mpfr_mul(r21834, r21810, r21833, MPFR_RNDN); mpfr_sqrt(r21835, r21834, MPFR_RNDN); mpfr_sqrt(r21836, r21811, MPFR_RNDN); mpfr_sqrt(r21837, r21825, MPFR_RNDN); mpfr_mul(r21838, r21836, r21837, MPFR_RNDN); if (mpfr_get_si(r21832, MPFR_RNDN)) { mpfr_set(r21839, r21835, MPFR_RNDN); } else { mpfr_set(r21839, r21838, MPFR_RNDN); }; if (mpfr_get_si(r21808, MPFR_RNDN)) { mpfr_set(r21840, r21830, MPFR_RNDN); } else { mpfr_set(r21840, r21839, MPFR_RNDN); }; return mpfr_get_d(r21840, MPFR_RNDN); }