#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 r15642 = 2.0f;
        float r15643 = n;
        float r15644 = r15642 * r15643;
        float r15645 = U;
        float r15646 = r15644 * r15645;
        float r15647 = t;
        float r15648 = l;
        float r15649 = r15648 * r15648;
        float r15650 = Om;
        float r15651 = r15649 / r15650;
        float r15652 = r15642 * r15651;
        float r15653 = r15647 - r15652;
        float r15654 = r15648 / r15650;
        float r15655 = r15654 * r15654;
        float r15656 = r15643 * r15655;
        float r15657 = U_;
        float r15658 = r15645 - r15657;
        float r15659 = r15656 * r15658;
        float r15660 = r15653 - r15659;
        float r15661 = r15646 * r15660;
        float r15662 = sqrt(r15661);
        return r15662;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15663 = 2.0;
        double r15664 = n;
        double r15665 = r15663 * r15664;
        double r15666 = U;
        double r15667 = r15665 * r15666;
        double r15668 = t;
        double r15669 = l;
        double r15670 = r15669 * r15669;
        double r15671 = Om;
        double r15672 = r15670 / r15671;
        double r15673 = r15663 * r15672;
        double r15674 = r15668 - r15673;
        double r15675 = r15669 / r15671;
        double r15676 = r15675 * r15675;
        double r15677 = r15664 * r15676;
        double r15678 = U_;
        double r15679 = r15666 - r15678;
        double r15680 = r15677 * r15679;
        double r15681 = r15674 - r15680;
        double r15682 = r15667 * r15681;
        double r15683 = sqrt(r15682);
        return r15683;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15684 = 2.0f;
        float r15685 = n;
        float r15686 = r15684 * r15685;
        float r15687 = U;
        float r15688 = t;
        float r15689 = l;
        float r15690 = Om;
        float r15691 = r15690 / r15689;
        float r15692 = r15689 / r15691;
        float r15693 = r15684 * r15692;
        float r15694 = r15688 - r15693;
        float r15695 = r15689 / r15690;
        float r15696 = r15695 * r15695;
        float r15697 = r15685 * r15696;
        float r15698 = 1.0f;
        float r15699 = pow(r15697, r15698);
        float r15700 = U_;
        float r15701 = r15687 - r15700;
        float r15702 = r15699 * r15701;
        float r15703 = r15694 - r15702;
        float r15704 = r15687 * r15703;
        float r15705 = r15686 * r15704;
        float r15706 = sqrt(r15705);
        return r15706;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15707 = 2.0;
        double r15708 = n;
        double r15709 = r15707 * r15708;
        double r15710 = U;
        double r15711 = t;
        double r15712 = l;
        double r15713 = Om;
        double r15714 = r15713 / r15712;
        double r15715 = r15712 / r15714;
        double r15716 = r15707 * r15715;
        double r15717 = r15711 - r15716;
        double r15718 = r15712 / r15713;
        double r15719 = r15718 * r15718;
        double r15720 = r15708 * r15719;
        double r15721 = 1.0;
        double r15722 = pow(r15720, r15721);
        double r15723 = U_;
        double r15724 = r15710 - r15723;
        double r15725 = r15722 * r15724;
        double r15726 = r15717 - r15725;
        double r15727 = r15710 * r15726;
        double r15728 = r15709 * r15727;
        double r15729 = sqrt(r15728);
        return r15729;
}

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 r15730, r15731, r15732, r15733, r15734, r15735, r15736, r15737, r15738, r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746, r15747, r15748, r15749, r15750;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15730, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15731, n, MPFR_RNDN);
        mpfr_mul(r15732, r15730, r15731, MPFR_RNDN);
        mpfr_set_d(r15733, U, MPFR_RNDN);
        mpfr_mul(r15734, r15732, r15733, MPFR_RNDN);
        mpfr_set_d(r15735, t, MPFR_RNDN);
        mpfr_set_d(r15736, l, MPFR_RNDN);
        mpfr_sqr(r15737, r15736, MPFR_RNDN);
        mpfr_set_d(r15738, Om, MPFR_RNDN);
        mpfr_div(r15739, r15737, r15738, MPFR_RNDN);
        mpfr_mul(r15740, r15730, r15739, MPFR_RNDN);
        mpfr_sub(r15741, r15735, r15740, MPFR_RNDN);
        mpfr_div(r15742, r15736, r15738, MPFR_RNDN);
        mpfr_sqr(r15743, r15742, MPFR_RNDN);
        mpfr_mul(r15744, r15731, r15743, MPFR_RNDN);
        mpfr_set_d(r15745, U_, MPFR_RNDN);
        mpfr_sub(r15746, r15733, r15745, MPFR_RNDN);
        mpfr_mul(r15747, r15744, r15746, MPFR_RNDN);
        mpfr_sub(r15748, r15741, r15747, MPFR_RNDN);
        mpfr_mul(r15749, r15734, r15748, MPFR_RNDN);
        mpfr_sqrt(r15750, r15749, MPFR_RNDN);
        return mpfr_get_d(r15750, MPFR_RNDN);
}

static mpfr_t r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15751, "2", 10, MPFR_RNDN);
        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_set_str(r15765, "1", 10, MPFR_RNDN);
        mpfr_init(r15766);
        mpfr_init(r15767);
        mpfr_init(r15768);
        mpfr_init(r15769);
        mpfr_init(r15770);
        mpfr_init(r15771);
        mpfr_init(r15772);
        mpfr_init(r15773);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15752, n, MPFR_RNDN);
        mpfr_mul(r15753, r15751, r15752, MPFR_RNDN);
        mpfr_set_d(r15754, U, MPFR_RNDN);
        mpfr_set_d(r15755, t, MPFR_RNDN);
        mpfr_set_d(r15756, l, MPFR_RNDN);
        mpfr_set_d(r15757, Om, MPFR_RNDN);
        mpfr_div(r15758, r15757, r15756, MPFR_RNDN);
        mpfr_div(r15759, r15756, r15758, MPFR_RNDN);
        mpfr_mul(r15760, r15751, r15759, MPFR_RNDN);
        mpfr_sub(r15761, r15755, r15760, MPFR_RNDN);
        mpfr_div(r15762, r15756, r15757, MPFR_RNDN);
        mpfr_sqr(r15763, r15762, MPFR_RNDN);
        mpfr_mul(r15764, r15752, r15763, MPFR_RNDN);
        ;
        mpfr_pow(r15766, r15764, r15765, MPFR_RNDN);
        mpfr_set_d(r15767, U_, MPFR_RNDN);
        mpfr_sub(r15768, r15754, r15767, MPFR_RNDN);
        mpfr_mul(r15769, r15766, r15768, MPFR_RNDN);
        mpfr_sub(r15770, r15761, r15769, MPFR_RNDN);
        mpfr_mul(r15771, r15754, r15770, MPFR_RNDN);
        mpfr_mul(r15772, r15753, r15771, MPFR_RNDN);
        mpfr_sqrt(r15773, r15772, MPFR_RNDN);
        return mpfr_get_d(r15773, MPFR_RNDN);
}

static mpfr_t r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15774, "2", 10, MPFR_RNDN);
        mpfr_init(r15775);
        mpfr_init(r15776);
        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_set_str(r15788, "1", 10, MPFR_RNDN);
        mpfr_init(r15789);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
        mpfr_init(r15793);
        mpfr_init(r15794);
        mpfr_init(r15795);
        mpfr_init(r15796);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15775, n, MPFR_RNDN);
        mpfr_mul(r15776, r15774, r15775, MPFR_RNDN);
        mpfr_set_d(r15777, U, MPFR_RNDN);
        mpfr_set_d(r15778, t, MPFR_RNDN);
        mpfr_set_d(r15779, l, MPFR_RNDN);
        mpfr_set_d(r15780, Om, MPFR_RNDN);
        mpfr_div(r15781, r15780, r15779, MPFR_RNDN);
        mpfr_div(r15782, r15779, r15781, MPFR_RNDN);
        mpfr_mul(r15783, r15774, r15782, MPFR_RNDN);
        mpfr_sub(r15784, r15778, r15783, MPFR_RNDN);
        mpfr_div(r15785, r15779, r15780, MPFR_RNDN);
        mpfr_sqr(r15786, r15785, MPFR_RNDN);
        mpfr_mul(r15787, r15775, r15786, MPFR_RNDN);
        ;
        mpfr_pow(r15789, r15787, r15788, MPFR_RNDN);
        mpfr_set_d(r15790, U_, MPFR_RNDN);
        mpfr_sub(r15791, r15777, r15790, MPFR_RNDN);
        mpfr_mul(r15792, r15789, r15791, MPFR_RNDN);
        mpfr_sub(r15793, r15784, r15792, MPFR_RNDN);
        mpfr_mul(r15794, r15777, r15793, MPFR_RNDN);
        mpfr_mul(r15795, r15776, r15794, MPFR_RNDN);
        mpfr_sqrt(r15796, r15795, MPFR_RNDN);
        return mpfr_get_d(r15796, MPFR_RNDN);
}

