#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r15630 = 2.0f;
        float r15631 = n;
        float r15632 = r15630 * r15631;
        float r15633 = U;
        float r15634 = r15632 * r15633;
        float r15635 = t;
        float r15636 = l;
        float r15637 = r15636 * r15636;
        float r15638 = Om;
        float r15639 = r15637 / r15638;
        float r15640 = r15630 * r15639;
        float r15641 = r15635 - r15640;
        float r15642 = r15636 / r15638;
        float r15643 = r15642 * r15642;
        float r15644 = r15631 * r15643;
        float r15645 = U_;
        float r15646 = r15633 - r15645;
        float r15647 = r15644 * r15646;
        float r15648 = r15641 - r15647;
        float r15649 = r15634 * r15648;
        float r15650 = sqrt(r15649);
        return r15650;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15651 = 2.0;
        double r15652 = n;
        double r15653 = r15651 * r15652;
        double r15654 = U;
        double r15655 = r15653 * r15654;
        double r15656 = t;
        double r15657 = l;
        double r15658 = r15657 * r15657;
        double r15659 = Om;
        double r15660 = r15658 / r15659;
        double r15661 = r15651 * r15660;
        double r15662 = r15656 - r15661;
        double r15663 = r15657 / r15659;
        double r15664 = r15663 * r15663;
        double r15665 = r15652 * r15664;
        double r15666 = U_;
        double r15667 = r15654 - r15666;
        double r15668 = r15665 * r15667;
        double r15669 = r15662 - r15668;
        double r15670 = r15655 * r15669;
        double r15671 = sqrt(r15670);
        return r15671;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15672 = 2.0f;
        float r15673 = n;
        float r15674 = r15672 * r15673;
        float r15675 = U;
        float r15676 = t;
        float r15677 = l;
        float r15678 = Om;
        float r15679 = r15678 / r15677;
        float r15680 = r15677 / r15679;
        float r15681 = r15672 * r15680;
        float r15682 = r15676 - r15681;
        float r15683 = r15677 / r15678;
        float r15684 = r15683 * r15683;
        float r15685 = r15673 * r15684;
        float r15686 = 1.0f;
        float r15687 = pow(r15685, r15686);
        float r15688 = U_;
        float r15689 = r15675 - r15688;
        float r15690 = r15687 * r15689;
        float r15691 = r15682 - r15690;
        float r15692 = r15675 * r15691;
        float r15693 = r15674 * r15692;
        float r15694 = sqrt(r15693);
        return r15694;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15695 = 2.0;
        double r15696 = n;
        double r15697 = r15695 * r15696;
        double r15698 = U;
        double r15699 = t;
        double r15700 = l;
        double r15701 = Om;
        double r15702 = r15701 / r15700;
        double r15703 = r15700 / r15702;
        double r15704 = r15695 * r15703;
        double r15705 = r15699 - r15704;
        double r15706 = r15700 / r15701;
        double r15707 = r15706 * r15706;
        double r15708 = r15696 * r15707;
        double r15709 = 1.0;
        double r15710 = pow(r15708, r15709);
        double r15711 = U_;
        double r15712 = r15698 - r15711;
        double r15713 = r15710 * r15712;
        double r15714 = r15705 - r15713;
        double r15715 = r15698 * r15714;
        double r15716 = r15697 * r15715;
        double r15717 = sqrt(r15716);
        return r15717;
}

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 r15718, r15719, r15720, r15721, r15722, r15723, r15724, r15725, r15726, r15727, r15728, r15729, r15730, r15731, r15732, r15733, r15734, r15735, r15736, r15737, r15738;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15718, "2", 10, MPFR_RNDN);
        mpfr_init(r15719);
        mpfr_init(r15720);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15719, n, MPFR_RNDN);
        mpfr_mul(r15720, r15718, r15719, MPFR_RNDN);
        mpfr_set_d(r15721, U, MPFR_RNDN);
        mpfr_mul(r15722, r15720, r15721, MPFR_RNDN);
        mpfr_set_d(r15723, t, MPFR_RNDN);
        mpfr_set_d(r15724, l, MPFR_RNDN);
        mpfr_sqr(r15725, r15724, MPFR_RNDN);
        mpfr_set_d(r15726, Om, MPFR_RNDN);
        mpfr_div(r15727, r15725, r15726, MPFR_RNDN);
        mpfr_mul(r15728, r15718, r15727, MPFR_RNDN);
        mpfr_sub(r15729, r15723, r15728, MPFR_RNDN);
        mpfr_div(r15730, r15724, r15726, MPFR_RNDN);
        mpfr_sqr(r15731, r15730, MPFR_RNDN);
        mpfr_mul(r15732, r15719, r15731, MPFR_RNDN);
        mpfr_set_d(r15733, U_, MPFR_RNDN);
        mpfr_sub(r15734, r15721, r15733, MPFR_RNDN);
        mpfr_mul(r15735, r15732, r15734, MPFR_RNDN);
        mpfr_sub(r15736, r15729, r15735, MPFR_RNDN);
        mpfr_mul(r15737, r15722, r15736, MPFR_RNDN);
        mpfr_sqrt(r15738, r15737, MPFR_RNDN);
        return mpfr_get_d(r15738, MPFR_RNDN);
}

static mpfr_t r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746, r15747, r15748, r15749, r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15739, "2", 10, MPFR_RNDN);
        mpfr_init(r15740);
        mpfr_init(r15741);
        mpfr_init(r15742);
        mpfr_init(r15743);
        mpfr_init(r15744);
        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_set_str(r15753, "1", 10, MPFR_RNDN);
        mpfr_init(r15754);
        mpfr_init(r15755);
        mpfr_init(r15756);
        mpfr_init(r15757);
        mpfr_init(r15758);
        mpfr_init(r15759);
        mpfr_init(r15760);
        mpfr_init(r15761);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15740, n, MPFR_RNDN);
        mpfr_mul(r15741, r15739, r15740, MPFR_RNDN);
        mpfr_set_d(r15742, U, MPFR_RNDN);
        mpfr_set_d(r15743, t, MPFR_RNDN);
        mpfr_set_d(r15744, l, MPFR_RNDN);
        mpfr_set_d(r15745, Om, MPFR_RNDN);
        mpfr_div(r15746, r15745, r15744, MPFR_RNDN);
        mpfr_div(r15747, r15744, r15746, MPFR_RNDN);
        mpfr_mul(r15748, r15739, r15747, MPFR_RNDN);
        mpfr_sub(r15749, r15743, r15748, MPFR_RNDN);
        mpfr_div(r15750, r15744, r15745, MPFR_RNDN);
        mpfr_sqr(r15751, r15750, MPFR_RNDN);
        mpfr_mul(r15752, r15740, r15751, MPFR_RNDN);
        ;
        mpfr_pow(r15754, r15752, r15753, MPFR_RNDN);
        mpfr_set_d(r15755, U_, MPFR_RNDN);
        mpfr_sub(r15756, r15742, r15755, MPFR_RNDN);
        mpfr_mul(r15757, r15754, r15756, MPFR_RNDN);
        mpfr_sub(r15758, r15749, r15757, MPFR_RNDN);
        mpfr_mul(r15759, r15742, r15758, MPFR_RNDN);
        mpfr_mul(r15760, r15741, r15759, MPFR_RNDN);
        mpfr_sqrt(r15761, r15760, MPFR_RNDN);
        return mpfr_get_d(r15761, MPFR_RNDN);
}

static mpfr_t r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15762, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15773);
        mpfr_init(r15774);
        mpfr_init(r15775);
        mpfr_init_set_str(r15776, "1", 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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15763, n, MPFR_RNDN);
        mpfr_mul(r15764, r15762, r15763, MPFR_RNDN);
        mpfr_set_d(r15765, U, MPFR_RNDN);
        mpfr_set_d(r15766, t, MPFR_RNDN);
        mpfr_set_d(r15767, l, MPFR_RNDN);
        mpfr_set_d(r15768, Om, MPFR_RNDN);
        mpfr_div(r15769, r15768, r15767, MPFR_RNDN);
        mpfr_div(r15770, r15767, r15769, MPFR_RNDN);
        mpfr_mul(r15771, r15762, r15770, MPFR_RNDN);
        mpfr_sub(r15772, r15766, r15771, MPFR_RNDN);
        mpfr_div(r15773, r15767, r15768, MPFR_RNDN);
        mpfr_sqr(r15774, r15773, MPFR_RNDN);
        mpfr_mul(r15775, r15763, r15774, MPFR_RNDN);
        ;
        mpfr_pow(r15777, r15775, r15776, MPFR_RNDN);
        mpfr_set_d(r15778, U_, MPFR_RNDN);
        mpfr_sub(r15779, r15765, r15778, MPFR_RNDN);
        mpfr_mul(r15780, r15777, r15779, MPFR_RNDN);
        mpfr_sub(r15781, r15772, r15780, MPFR_RNDN);
        mpfr_mul(r15782, r15765, r15781, MPFR_RNDN);
        mpfr_mul(r15783, r15764, r15782, MPFR_RNDN);
        mpfr_sqrt(r15784, r15783, MPFR_RNDN);
        return mpfr_get_d(r15784, MPFR_RNDN);
}

