#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 r15638 = 2.0f;
        float r15639 = n;
        float r15640 = r15638 * r15639;
        float r15641 = U;
        float r15642 = r15640 * r15641;
        float r15643 = t;
        float r15644 = l;
        float r15645 = r15644 * r15644;
        float r15646 = Om;
        float r15647 = r15645 / r15646;
        float r15648 = r15638 * r15647;
        float r15649 = r15643 - r15648;
        float r15650 = r15644 / r15646;
        float r15651 = r15650 * r15650;
        float r15652 = r15639 * r15651;
        float r15653 = U_;
        float r15654 = r15641 - r15653;
        float r15655 = r15652 * r15654;
        float r15656 = r15649 - r15655;
        float r15657 = r15642 * r15656;
        float r15658 = sqrt(r15657);
        return r15658;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15659 = 2.0;
        double r15660 = n;
        double r15661 = r15659 * r15660;
        double r15662 = U;
        double r15663 = r15661 * r15662;
        double r15664 = t;
        double r15665 = l;
        double r15666 = r15665 * r15665;
        double r15667 = Om;
        double r15668 = r15666 / r15667;
        double r15669 = r15659 * r15668;
        double r15670 = r15664 - r15669;
        double r15671 = r15665 / r15667;
        double r15672 = r15671 * r15671;
        double r15673 = r15660 * r15672;
        double r15674 = U_;
        double r15675 = r15662 - r15674;
        double r15676 = r15673 * r15675;
        double r15677 = r15670 - r15676;
        double r15678 = r15663 * r15677;
        double r15679 = sqrt(r15678);
        return r15679;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15680 = 2.0f;
        float r15681 = n;
        float r15682 = r15680 * r15681;
        float r15683 = U;
        float r15684 = t;
        float r15685 = l;
        float r15686 = Om;
        float r15687 = r15686 / r15685;
        float r15688 = r15685 / r15687;
        float r15689 = r15680 * r15688;
        float r15690 = r15684 - r15689;
        float r15691 = r15685 / r15686;
        float r15692 = r15691 * r15691;
        float r15693 = r15681 * r15692;
        float r15694 = 1.0f;
        float r15695 = pow(r15693, r15694);
        float r15696 = U_;
        float r15697 = r15683 - r15696;
        float r15698 = r15695 * r15697;
        float r15699 = r15690 - r15698;
        float r15700 = r15683 * r15699;
        float r15701 = r15682 * r15700;
        float r15702 = sqrt(r15701);
        return r15702;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15703 = 2.0;
        double r15704 = n;
        double r15705 = r15703 * r15704;
        double r15706 = U;
        double r15707 = t;
        double r15708 = l;
        double r15709 = Om;
        double r15710 = r15709 / r15708;
        double r15711 = r15708 / r15710;
        double r15712 = r15703 * r15711;
        double r15713 = r15707 - r15712;
        double r15714 = r15708 / r15709;
        double r15715 = r15714 * r15714;
        double r15716 = r15704 * r15715;
        double r15717 = 1.0;
        double r15718 = pow(r15716, r15717);
        double r15719 = U_;
        double r15720 = r15706 - r15719;
        double r15721 = r15718 * r15720;
        double r15722 = r15713 - r15721;
        double r15723 = r15706 * r15722;
        double r15724 = r15705 * r15723;
        double r15725 = sqrt(r15724);
        return r15725;
}

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 r15726, r15727, r15728, r15729, r15730, r15731, r15732, r15733, r15734, r15735, r15736, r15737, r15738, r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15726, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15741);
        mpfr_init(r15742);
        mpfr_init(r15743);
        mpfr_init(r15744);
        mpfr_init(r15745);
        mpfr_init(r15746);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15727, n, MPFR_RNDN);
        mpfr_mul(r15728, r15726, r15727, MPFR_RNDN);
        mpfr_set_d(r15729, U, MPFR_RNDN);
        mpfr_mul(r15730, r15728, r15729, MPFR_RNDN);
        mpfr_set_d(r15731, t, MPFR_RNDN);
        mpfr_set_d(r15732, l, MPFR_RNDN);
        mpfr_sqr(r15733, r15732, MPFR_RNDN);
        mpfr_set_d(r15734, Om, MPFR_RNDN);
        mpfr_div(r15735, r15733, r15734, MPFR_RNDN);
        mpfr_mul(r15736, r15726, r15735, MPFR_RNDN);
        mpfr_sub(r15737, r15731, r15736, MPFR_RNDN);
        mpfr_div(r15738, r15732, r15734, MPFR_RNDN);
        mpfr_sqr(r15739, r15738, MPFR_RNDN);
        mpfr_mul(r15740, r15727, r15739, MPFR_RNDN);
        mpfr_set_d(r15741, U_, MPFR_RNDN);
        mpfr_sub(r15742, r15729, r15741, MPFR_RNDN);
        mpfr_mul(r15743, r15740, r15742, MPFR_RNDN);
        mpfr_sub(r15744, r15737, r15743, MPFR_RNDN);
        mpfr_mul(r15745, r15730, r15744, MPFR_RNDN);
        mpfr_sqrt(r15746, r15745, MPFR_RNDN);
        return mpfr_get_d(r15746, MPFR_RNDN);
}

static mpfr_t r15747, r15748, r15749, r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758, r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15747, "2", 10, MPFR_RNDN);
        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_set_str(r15761, "1", 10, MPFR_RNDN);
        mpfr_init(r15762);
        mpfr_init(r15763);
        mpfr_init(r15764);
        mpfr_init(r15765);
        mpfr_init(r15766);
        mpfr_init(r15767);
        mpfr_init(r15768);
        mpfr_init(r15769);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15748, n, MPFR_RNDN);
        mpfr_mul(r15749, r15747, r15748, MPFR_RNDN);
        mpfr_set_d(r15750, U, MPFR_RNDN);
        mpfr_set_d(r15751, t, MPFR_RNDN);
        mpfr_set_d(r15752, l, MPFR_RNDN);
        mpfr_set_d(r15753, Om, MPFR_RNDN);
        mpfr_div(r15754, r15753, r15752, MPFR_RNDN);
        mpfr_div(r15755, r15752, r15754, MPFR_RNDN);
        mpfr_mul(r15756, r15747, r15755, MPFR_RNDN);
        mpfr_sub(r15757, r15751, r15756, MPFR_RNDN);
        mpfr_div(r15758, r15752, r15753, MPFR_RNDN);
        mpfr_sqr(r15759, r15758, MPFR_RNDN);
        mpfr_mul(r15760, r15748, r15759, MPFR_RNDN);
        ;
        mpfr_pow(r15762, r15760, r15761, MPFR_RNDN);
        mpfr_set_d(r15763, U_, MPFR_RNDN);
        mpfr_sub(r15764, r15750, r15763, MPFR_RNDN);
        mpfr_mul(r15765, r15762, r15764, MPFR_RNDN);
        mpfr_sub(r15766, r15757, r15765, MPFR_RNDN);
        mpfr_mul(r15767, r15750, r15766, MPFR_RNDN);
        mpfr_mul(r15768, r15749, r15767, MPFR_RNDN);
        mpfr_sqrt(r15769, r15768, MPFR_RNDN);
        return mpfr_get_d(r15769, MPFR_RNDN);
}

static mpfr_t r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781, r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15770, "2", 10, MPFR_RNDN);
        mpfr_init(r15771);
        mpfr_init(r15772);
        mpfr_init(r15773);
        mpfr_init(r15774);
        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_set_str(r15784, "1", 10, MPFR_RNDN);
        mpfr_init(r15785);
        mpfr_init(r15786);
        mpfr_init(r15787);
        mpfr_init(r15788);
        mpfr_init(r15789);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15771, n, MPFR_RNDN);
        mpfr_mul(r15772, r15770, r15771, MPFR_RNDN);
        mpfr_set_d(r15773, U, MPFR_RNDN);
        mpfr_set_d(r15774, t, MPFR_RNDN);
        mpfr_set_d(r15775, l, MPFR_RNDN);
        mpfr_set_d(r15776, Om, MPFR_RNDN);
        mpfr_div(r15777, r15776, r15775, MPFR_RNDN);
        mpfr_div(r15778, r15775, r15777, MPFR_RNDN);
        mpfr_mul(r15779, r15770, r15778, MPFR_RNDN);
        mpfr_sub(r15780, r15774, r15779, MPFR_RNDN);
        mpfr_div(r15781, r15775, r15776, MPFR_RNDN);
        mpfr_sqr(r15782, r15781, MPFR_RNDN);
        mpfr_mul(r15783, r15771, r15782, MPFR_RNDN);
        ;
        mpfr_pow(r15785, r15783, r15784, MPFR_RNDN);
        mpfr_set_d(r15786, U_, MPFR_RNDN);
        mpfr_sub(r15787, r15773, r15786, MPFR_RNDN);
        mpfr_mul(r15788, r15785, r15787, MPFR_RNDN);
        mpfr_sub(r15789, r15780, r15788, MPFR_RNDN);
        mpfr_mul(r15790, r15773, r15789, MPFR_RNDN);
        mpfr_mul(r15791, r15772, r15790, MPFR_RNDN);
        mpfr_sqrt(r15792, r15791, MPFR_RNDN);
        return mpfr_get_d(r15792, MPFR_RNDN);
}

