#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 r15650 = 2.0f;
        float r15651 = n;
        float r15652 = r15650 * r15651;
        float r15653 = U;
        float r15654 = r15652 * r15653;
        float r15655 = t;
        float r15656 = l;
        float r15657 = r15656 * r15656;
        float r15658 = Om;
        float r15659 = r15657 / r15658;
        float r15660 = r15650 * r15659;
        float r15661 = r15655 - r15660;
        float r15662 = r15656 / r15658;
        float r15663 = r15662 * r15662;
        float r15664 = r15651 * r15663;
        float r15665 = U_;
        float r15666 = r15653 - r15665;
        float r15667 = r15664 * r15666;
        float r15668 = r15661 - r15667;
        float r15669 = r15654 * r15668;
        float r15670 = sqrt(r15669);
        return r15670;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15671 = 2.0;
        double r15672 = n;
        double r15673 = r15671 * r15672;
        double r15674 = U;
        double r15675 = r15673 * r15674;
        double r15676 = t;
        double r15677 = l;
        double r15678 = r15677 * r15677;
        double r15679 = Om;
        double r15680 = r15678 / r15679;
        double r15681 = r15671 * r15680;
        double r15682 = r15676 - r15681;
        double r15683 = r15677 / r15679;
        double r15684 = r15683 * r15683;
        double r15685 = r15672 * r15684;
        double r15686 = U_;
        double r15687 = r15674 - r15686;
        double r15688 = r15685 * r15687;
        double r15689 = r15682 - r15688;
        double r15690 = r15675 * r15689;
        double r15691 = sqrt(r15690);
        return r15691;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15692 = 2.0f;
        float r15693 = n;
        float r15694 = r15692 * r15693;
        float r15695 = U;
        float r15696 = t;
        float r15697 = l;
        float r15698 = Om;
        float r15699 = r15698 / r15697;
        float r15700 = r15697 / r15699;
        float r15701 = r15692 * r15700;
        float r15702 = r15696 - r15701;
        float r15703 = r15697 / r15698;
        float r15704 = r15703 * r15703;
        float r15705 = r15693 * r15704;
        float r15706 = 1.0f;
        float r15707 = pow(r15705, r15706);
        float r15708 = U_;
        float r15709 = r15695 - r15708;
        float r15710 = r15707 * r15709;
        float r15711 = r15702 - r15710;
        float r15712 = r15695 * r15711;
        float r15713 = r15694 * r15712;
        float r15714 = sqrt(r15713);
        return r15714;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15715 = 2.0;
        double r15716 = n;
        double r15717 = r15715 * r15716;
        double r15718 = U;
        double r15719 = t;
        double r15720 = l;
        double r15721 = Om;
        double r15722 = r15721 / r15720;
        double r15723 = r15720 / r15722;
        double r15724 = r15715 * r15723;
        double r15725 = r15719 - r15724;
        double r15726 = r15720 / r15721;
        double r15727 = r15726 * r15726;
        double r15728 = r15716 * r15727;
        double r15729 = 1.0;
        double r15730 = pow(r15728, r15729);
        double r15731 = U_;
        double r15732 = r15718 - r15731;
        double r15733 = r15730 * r15732;
        double r15734 = r15725 - r15733;
        double r15735 = r15718 * r15734;
        double r15736 = r15717 * r15735;
        double r15737 = sqrt(r15736);
        return r15737;
}

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 r15738, r15739, r15740, r15741, r15742, r15743, r15744, r15745, r15746, r15747, r15748, r15749, r15750, r15751, r15752, r15753, r15754, r15755, r15756, r15757, r15758;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15738, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15751);
        mpfr_init(r15752);
        mpfr_init(r15753);
        mpfr_init(r15754);
        mpfr_init(r15755);
        mpfr_init(r15756);
        mpfr_init(r15757);
        mpfr_init(r15758);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15739, n, MPFR_RNDN);
        mpfr_mul(r15740, r15738, r15739, MPFR_RNDN);
        mpfr_set_d(r15741, U, MPFR_RNDN);
        mpfr_mul(r15742, r15740, r15741, MPFR_RNDN);
        mpfr_set_d(r15743, t, MPFR_RNDN);
        mpfr_set_d(r15744, l, MPFR_RNDN);
        mpfr_sqr(r15745, r15744, MPFR_RNDN);
        mpfr_set_d(r15746, Om, MPFR_RNDN);
        mpfr_div(r15747, r15745, r15746, MPFR_RNDN);
        mpfr_mul(r15748, r15738, r15747, MPFR_RNDN);
        mpfr_sub(r15749, r15743, r15748, MPFR_RNDN);
        mpfr_div(r15750, r15744, r15746, MPFR_RNDN);
        mpfr_sqr(r15751, r15750, MPFR_RNDN);
        mpfr_mul(r15752, r15739, r15751, MPFR_RNDN);
        mpfr_set_d(r15753, U_, MPFR_RNDN);
        mpfr_sub(r15754, r15741, r15753, MPFR_RNDN);
        mpfr_mul(r15755, r15752, r15754, MPFR_RNDN);
        mpfr_sub(r15756, r15749, r15755, MPFR_RNDN);
        mpfr_mul(r15757, r15742, r15756, MPFR_RNDN);
        mpfr_sqrt(r15758, r15757, MPFR_RNDN);
        return mpfr_get_d(r15758, MPFR_RNDN);
}

static mpfr_t r15759, r15760, r15761, r15762, r15763, r15764, r15765, r15766, r15767, r15768, r15769, r15770, r15771, r15772, r15773, r15774, r15775, r15776, r15777, r15778, r15779, r15780, r15781;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15759, "2", 10, MPFR_RNDN);
        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);
        mpfr_init_set_str(r15773, "1", 10, MPFR_RNDN);
        mpfr_init(r15774);
        mpfr_init(r15775);
        mpfr_init(r15776);
        mpfr_init(r15777);
        mpfr_init(r15778);
        mpfr_init(r15779);
        mpfr_init(r15780);
        mpfr_init(r15781);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15760, n, MPFR_RNDN);
        mpfr_mul(r15761, r15759, r15760, MPFR_RNDN);
        mpfr_set_d(r15762, U, MPFR_RNDN);
        mpfr_set_d(r15763, t, MPFR_RNDN);
        mpfr_set_d(r15764, l, MPFR_RNDN);
        mpfr_set_d(r15765, Om, MPFR_RNDN);
        mpfr_div(r15766, r15765, r15764, MPFR_RNDN);
        mpfr_div(r15767, r15764, r15766, MPFR_RNDN);
        mpfr_mul(r15768, r15759, r15767, MPFR_RNDN);
        mpfr_sub(r15769, r15763, r15768, MPFR_RNDN);
        mpfr_div(r15770, r15764, r15765, MPFR_RNDN);
        mpfr_sqr(r15771, r15770, MPFR_RNDN);
        mpfr_mul(r15772, r15760, r15771, MPFR_RNDN);
        ;
        mpfr_pow(r15774, r15772, r15773, MPFR_RNDN);
        mpfr_set_d(r15775, U_, MPFR_RNDN);
        mpfr_sub(r15776, r15762, r15775, MPFR_RNDN);
        mpfr_mul(r15777, r15774, r15776, MPFR_RNDN);
        mpfr_sub(r15778, r15769, r15777, MPFR_RNDN);
        mpfr_mul(r15779, r15762, r15778, MPFR_RNDN);
        mpfr_mul(r15780, r15761, r15779, MPFR_RNDN);
        mpfr_sqrt(r15781, r15780, MPFR_RNDN);
        return mpfr_get_d(r15781, MPFR_RNDN);
}

static mpfr_t 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_set_str(r15782, "2", 10, MPFR_RNDN);
        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_set_str(r15796, "1", 10, MPFR_RNDN);
        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(r15783, n, MPFR_RNDN);
        mpfr_mul(r15784, r15782, r15783, MPFR_RNDN);
        mpfr_set_d(r15785, U, MPFR_RNDN);
        mpfr_set_d(r15786, t, MPFR_RNDN);
        mpfr_set_d(r15787, l, MPFR_RNDN);
        mpfr_set_d(r15788, Om, MPFR_RNDN);
        mpfr_div(r15789, r15788, r15787, MPFR_RNDN);
        mpfr_div(r15790, r15787, r15789, MPFR_RNDN);
        mpfr_mul(r15791, r15782, r15790, MPFR_RNDN);
        mpfr_sub(r15792, r15786, r15791, MPFR_RNDN);
        mpfr_div(r15793, r15787, r15788, MPFR_RNDN);
        mpfr_sqr(r15794, r15793, MPFR_RNDN);
        mpfr_mul(r15795, r15783, r15794, MPFR_RNDN);
        ;
        mpfr_pow(r15797, r15795, r15796, MPFR_RNDN);
        mpfr_set_d(r15798, U_, MPFR_RNDN);
        mpfr_sub(r15799, r15785, r15798, MPFR_RNDN);
        mpfr_mul(r15800, r15797, r15799, MPFR_RNDN);
        mpfr_sub(r15801, r15792, r15800, MPFR_RNDN);
        mpfr_mul(r15802, r15785, r15801, MPFR_RNDN);
        mpfr_mul(r15803, r15784, r15802, MPFR_RNDN);
        mpfr_sqrt(r15804, r15803, MPFR_RNDN);
        return mpfr_get_d(r15804, MPFR_RNDN);
}

