#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 r15614 = 2.0f; float r15615 = n; float r15616 = r15614 * r15615; float r15617 = U; float r15618 = r15616 * r15617; float r15619 = t; float r15620 = l; float r15621 = r15620 * r15620; float r15622 = Om; float r15623 = r15621 / r15622; float r15624 = r15614 * r15623; float r15625 = r15619 - r15624; float r15626 = r15620 / r15622; float r15627 = r15626 * r15626; float r15628 = r15615 * r15627; float r15629 = U_; float r15630 = r15617 - r15629; float r15631 = r15628 * r15630; float r15632 = r15625 - r15631; float r15633 = r15618 * r15632; float r15634 = sqrt(r15633); return r15634; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r15635 = 2.0; double r15636 = n; double r15637 = r15635 * r15636; double r15638 = U; double r15639 = r15637 * r15638; double r15640 = t; double r15641 = l; double r15642 = r15641 * r15641; double r15643 = Om; double r15644 = r15642 / r15643; double r15645 = r15635 * r15644; double r15646 = r15640 - r15645; double r15647 = r15641 / r15643; double r15648 = r15647 * r15647; double r15649 = r15636 * r15648; double r15650 = U_; double r15651 = r15638 - r15650; double r15652 = r15649 * r15651; double r15653 = r15646 - r15652; double r15654 = r15639 * r15653; double r15655 = sqrt(r15654); return r15655; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r15656 = n; float r15657 = 2.1475859036128024e-308f; bool r15658 = r15656 <= r15657; float r15659 = 2.0f; float r15660 = r15659 * r15656; float r15661 = U; float r15662 = t; float r15663 = l; float r15664 = Om; float r15665 = r15664 / r15663; float r15666 = r15663 / r15665; float r15667 = r15659 * r15666; float r15668 = r15662 - r15667; float r15669 = r15663 / r15664; float r15670 = r15656 * r15669; float r15671 = r15670 * r15669; float r15672 = U_; float r15673 = r15661 - r15672; float r15674 = r15671 * r15673; float r15675 = r15668 - r15674; float r15676 = r15661 * r15675; float r15677 = r15660 * r15676; float r15678 = sqrt(r15677); float r15679 = sqrt(r15660); float r15680 = r15669 * r15669; float r15681 = r15656 * r15680; float r15682 = r15681 * r15673; float r15683 = r15668 - r15682; float r15684 = r15661 * r15683; float r15685 = sqrt(r15684); float r15686 = r15679 * r15685; float r15687 = r15658 ? r15678 : r15686; return r15687; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r15688 = n; double r15689 = 2.1475859036128024e-308; bool r15690 = r15688 <= r15689; double r15691 = 2.0; double r15692 = r15691 * r15688; double r15693 = U; double r15694 = t; double r15695 = l; double r15696 = Om; double r15697 = r15696 / r15695; double r15698 = r15695 / r15697; double r15699 = r15691 * r15698; double r15700 = r15694 - r15699; double r15701 = r15695 / r15696; double r15702 = r15688 * r15701; double r15703 = r15702 * r15701; double r15704 = U_; double r15705 = r15693 - r15704; double r15706 = r15703 * r15705; double r15707 = r15700 - r15706; double r15708 = r15693 * r15707; double r15709 = r15692 * r15708; double r15710 = sqrt(r15709); double r15711 = sqrt(r15692); double r15712 = r15701 * r15701; double r15713 = r15688 * r15712; double r15714 = r15713 * r15705; double r15715 = r15700 - r15714; double r15716 = r15693 * r15715; double r15717 = sqrt(r15716); double r15718 = r15711 * r15717; double r15719 = r15690 ? r15710 : r15718; return r15719; } 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 r15720, r15721, r15722, r15723, r15724, r15725, r15726, r15727, r15728, r15729, r15730, r15731, r15732, r15733, r15734, r15735, r15736, r15737, r15738, r15739, r15740; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init_set_str(r15720, "2", 10, MPFR_RNDN); mpfr_init(r15721); mpfr_init(r15722); mpfr_init(r15723); mpfr_init(r15724); mpfr_init(r15725); mpfr_init(r15726); mpfr_init(r15727); mpfr_init(r15728); mpfr_init(r15729); mpfr_init(r15730); mpfr_init(r15731); mpfr_init(r15732); mpfr_init(r15733); mpfr_init(r15734); mpfr_init(r15735); mpfr_init(r15736); mpfr_init(r15737); mpfr_init(r15738); mpfr_init(r15739); mpfr_init(r15740); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r15721, n, MPFR_RNDN); mpfr_mul(r15722, r15720, r15721, MPFR_RNDN); mpfr_set_d(r15723, U, MPFR_RNDN); mpfr_mul(r15724, r15722, r15723, MPFR_RNDN); mpfr_set_d(r15725, t, MPFR_RNDN); mpfr_set_d(r15726, l, MPFR_RNDN); mpfr_sqr(r15727, r15726, MPFR_RNDN); mpfr_set_d(r15728, Om, MPFR_RNDN); mpfr_div(r15729, r15727, r15728, MPFR_RNDN); mpfr_mul(r15730, r15720, r15729, MPFR_RNDN); mpfr_sub(r15731, r15725, r15730, MPFR_RNDN); mpfr_div(r15732, r15726, r15728, MPFR_RNDN); mpfr_sqr(r15733, r15732, MPFR_RNDN); mpfr_mul(r15734, r15721, r15733, MPFR_RNDN); mpfr_set_d(r15735, U_, MPFR_RNDN); mpfr_sub(r15736, r15723, r15735, MPFR_RNDN); mpfr_mul(r15737, r15734, r15736, MPFR_RNDN); mpfr_sub(r15738, r15731, r15737, MPFR_RNDN); mpfr_mul(r15739, r15724, r15738, MPFR_RNDN); mpfr_sqrt(r15740, r15739, MPFR_RNDN); return mpfr_get_d(r15740, MPFR_RNDN); } static mpfr_t r15741, r15742, r15743, r15744, r15745, r15746, r15747, r15748, r15749, r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15741); mpfr_init_set_str(r15742, "2.1475859036128024e-308", 10, MPFR_RNDN); mpfr_init(r15743); mpfr_init_set_str(r15744, "2", 10, MPFR_RNDN); mpfr_init(r15745); mpfr_init(r15746); mpfr_init(r15747); mpfr_init(r15748); mpfr_init(r15749); mpfr_init(r15750); mpfr_init(r15751); mpfr_init(r15752); mpfr_init(r15753); mpfr_init(r15754); mpfr_init(r15755); mpfr_init(r15756); mpfr_init(r15757); mpfr_init(r15758); mpfr_init(r15759); mpfr_init(r15760); mpfr_init(r15761); mpfr_init(r15762); mpfr_init(r15763); mpfr_init(r15764); mpfr_init(r15765); mpfr_init(r15766); mpfr_init(r15767); mpfr_init(r15768); mpfr_init(r15769); mpfr_init(r15770); mpfr_init(r15771); mpfr_init(r15772); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r15741, n, MPFR_RNDN); ; mpfr_set_si(r15743, mpfr_cmp(r15741, r15742) <= 0, MPFR_RNDN); ; mpfr_mul(r15745, r15744, r15741, MPFR_RNDN); mpfr_set_d(r15746, U, MPFR_RNDN); mpfr_set_d(r15747, t, MPFR_RNDN); mpfr_set_d(r15748, l, MPFR_RNDN); mpfr_set_d(r15749, Om, MPFR_RNDN); mpfr_div(r15750, r15749, r15748, MPFR_RNDN); mpfr_div(r15751, r15748, r15750, MPFR_RNDN); mpfr_mul(r15752, r15744, r15751, MPFR_RNDN); mpfr_sub(r15753, r15747, r15752, MPFR_RNDN); mpfr_div(r15754, r15748, r15749, MPFR_RNDN); mpfr_mul(r15755, r15741, r15754, MPFR_RNDN); mpfr_mul(r15756, r15755, r15754, MPFR_RNDN); mpfr_set_d(r15757, U_, MPFR_RNDN); mpfr_sub(r15758, r15746, r15757, MPFR_RNDN); mpfr_mul(r15759, r15756, r15758, MPFR_RNDN); mpfr_sub(r15760, r15753, r15759, MPFR_RNDN); mpfr_mul(r15761, r15746, r15760, MPFR_RNDN); mpfr_mul(r15762, r15745, r15761, MPFR_RNDN); mpfr_sqrt(r15763, r15762, MPFR_RNDN); mpfr_sqrt(r15764, r15745, MPFR_RNDN); mpfr_sqr(r15765, r15754, MPFR_RNDN); mpfr_mul(r15766, r15741, r15765, MPFR_RNDN); mpfr_mul(r15767, r15766, r15758, MPFR_RNDN); mpfr_sub(r15768, r15753, r15767, MPFR_RNDN); mpfr_mul(r15769, r15746, r15768, MPFR_RNDN); mpfr_sqrt(r15770, r15769, MPFR_RNDN); mpfr_mul(r15771, r15764, r15770, MPFR_RNDN); if (mpfr_get_si(r15743, MPFR_RNDN)) { mpfr_set(r15772, r15763, MPFR_RNDN); } else { mpfr_set(r15772, r15771, MPFR_RNDN); }; return mpfr_get_d(r15772, MPFR_RNDN); } static mpfr_t r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802, r15803, r15804; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15773); mpfr_init_set_str(r15774, "2.1475859036128024e-308", 10, MPFR_RNDN); mpfr_init(r15775); mpfr_init_set_str(r15776, "2", 10, MPFR_RNDN); mpfr_init(r15777); mpfr_init(r15778); mpfr_init(r15779); mpfr_init(r15780); mpfr_init(r15781); mpfr_init(r15782); mpfr_init(r15783); mpfr_init(r15784); mpfr_init(r15785); mpfr_init(r15786); mpfr_init(r15787); mpfr_init(r15788); mpfr_init(r15789); mpfr_init(r15790); mpfr_init(r15791); mpfr_init(r15792); mpfr_init(r15793); mpfr_init(r15794); mpfr_init(r15795); mpfr_init(r15796); mpfr_init(r15797); mpfr_init(r15798); mpfr_init(r15799); mpfr_init(r15800); mpfr_init(r15801); mpfr_init(r15802); mpfr_init(r15803); mpfr_init(r15804); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r15773, n, MPFR_RNDN); ; mpfr_set_si(r15775, mpfr_cmp(r15773, r15774) <= 0, MPFR_RNDN); ; mpfr_mul(r15777, r15776, r15773, MPFR_RNDN); mpfr_set_d(r15778, U, MPFR_RNDN); mpfr_set_d(r15779, t, MPFR_RNDN); mpfr_set_d(r15780, l, MPFR_RNDN); mpfr_set_d(r15781, Om, MPFR_RNDN); mpfr_div(r15782, r15781, r15780, MPFR_RNDN); mpfr_div(r15783, r15780, r15782, MPFR_RNDN); mpfr_mul(r15784, r15776, r15783, MPFR_RNDN); mpfr_sub(r15785, r15779, r15784, MPFR_RNDN); mpfr_div(r15786, r15780, r15781, MPFR_RNDN); mpfr_mul(r15787, r15773, r15786, MPFR_RNDN); mpfr_mul(r15788, r15787, r15786, MPFR_RNDN); mpfr_set_d(r15789, U_, MPFR_RNDN); mpfr_sub(r15790, r15778, r15789, MPFR_RNDN); mpfr_mul(r15791, r15788, r15790, MPFR_RNDN); mpfr_sub(r15792, r15785, r15791, MPFR_RNDN); mpfr_mul(r15793, r15778, r15792, MPFR_RNDN); mpfr_mul(r15794, r15777, r15793, MPFR_RNDN); mpfr_sqrt(r15795, r15794, MPFR_RNDN); mpfr_sqrt(r15796, r15777, MPFR_RNDN); mpfr_sqr(r15797, r15786, MPFR_RNDN); mpfr_mul(r15798, r15773, r15797, MPFR_RNDN); mpfr_mul(r15799, r15798, r15790, MPFR_RNDN); mpfr_sub(r15800, r15785, r15799, MPFR_RNDN); mpfr_mul(r15801, r15778, r15800, MPFR_RNDN); mpfr_sqrt(r15802, r15801, MPFR_RNDN); mpfr_mul(r15803, r15796, r15802, MPFR_RNDN); if (mpfr_get_si(r15775, MPFR_RNDN)) { mpfr_set(r15804, r15795, MPFR_RNDN); } else { mpfr_set(r15804, r15803, MPFR_RNDN); }; return mpfr_get_d(r15804, MPFR_RNDN); }