#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 r24543 = 2;
        float r24544 = n;
        float r24545 = r24543 * r24544;
        float r24546 = U;
        float r24547 = r24545 * r24546;
        float r24548 = t;
        float r24549 = l;
        float r24550 = r24549 * r24549;
        float r24551 = Om;
        float r24552 = r24550 / r24551;
        float r24553 = r24543 * r24552;
        float r24554 = r24548 - r24553;
        float r24555 = r24549 / r24551;
        float r24556 = pow(r24555, r24543);
        float r24557 = r24544 * r24556;
        float r24558 = U_;
        float r24559 = r24546 - r24558;
        float r24560 = r24557 * r24559;
        float r24561 = r24554 - r24560;
        float r24562 = r24547 * r24561;
        float r24563 = sqrt(r24562);
        return r24563;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24564 = 2;
        double r24565 = n;
        double r24566 = r24564 * r24565;
        double r24567 = U;
        double r24568 = r24566 * r24567;
        double r24569 = t;
        double r24570 = l;
        double r24571 = r24570 * r24570;
        double r24572 = Om;
        double r24573 = r24571 / r24572;
        double r24574 = r24564 * r24573;
        double r24575 = r24569 - r24574;
        double r24576 = r24570 / r24572;
        double r24577 = pow(r24576, r24564);
        double r24578 = r24565 * r24577;
        double r24579 = U_;
        double r24580 = r24567 - r24579;
        double r24581 = r24578 * r24580;
        double r24582 = r24575 - r24581;
        double r24583 = r24568 * r24582;
        double r24584 = sqrt(r24583);
        return r24584;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24585 = n;
        float r24586 = 1.0112170135790667e-290;
        bool r24587 = r24585 <= r24586;
        float r24588 = 2;
        float r24589 = r24588 * r24585;
        float r24590 = U;
        float r24591 = t;
        float r24592 = l;
        float r24593 = Om;
        float r24594 = r24593 / r24592;
        float r24595 = r24592 / r24594;
        float r24596 = r24588 * r24595;
        float r24597 = r24591 - r24596;
        float r24598 = r24592 / r24593;
        float r24599 = r24585 * r24598;
        float r24600 = r24599 * r24598;
        float r24601 = U_;
        float r24602 = r24590 - r24601;
        float r24603 = r24600 * r24602;
        float r24604 = r24597 - r24603;
        float r24605 = r24590 * r24604;
        float r24606 = r24589 * r24605;
        float r24607 = sqrt(r24606);
        float r24608 = sqrt(r24589);
        float r24609 = sqrt(r24605);
        float r24610 = r24608 * r24609;
        float r24611 = r24587 ? r24607 : r24610;
        return r24611;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24612 = n;
        double r24613 = 1.0112170135790667e-290;
        bool r24614 = r24612 <= r24613;
        double r24615 = 2;
        double r24616 = r24615 * r24612;
        double r24617 = U;
        double r24618 = t;
        double r24619 = l;
        double r24620 = Om;
        double r24621 = r24620 / r24619;
        double r24622 = r24619 / r24621;
        double r24623 = r24615 * r24622;
        double r24624 = r24618 - r24623;
        double r24625 = r24619 / r24620;
        double r24626 = r24612 * r24625;
        double r24627 = r24626 * r24625;
        double r24628 = U_;
        double r24629 = r24617 - r24628;
        double r24630 = r24627 * r24629;
        double r24631 = r24624 - r24630;
        double r24632 = r24617 * r24631;
        double r24633 = r24616 * r24632;
        double r24634 = sqrt(r24633);
        double r24635 = sqrt(r24616);
        double r24636 = sqrt(r24632);
        double r24637 = r24635 * r24636;
        double r24638 = r24614 ? r24634 : r24637;
        return r24638;
}

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 r24639, r24640, r24641, r24642, r24643, r24644, r24645, r24646, r24647, r24648, r24649, r24650, r24651, r24652, r24653, r24654, r24655, r24656, r24657, r24658, r24659;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24639, "2", 10, MPFR_RNDN);
        mpfr_init(r24640);
        mpfr_init(r24641);
        mpfr_init(r24642);
        mpfr_init(r24643);
        mpfr_init(r24644);
        mpfr_init(r24645);
        mpfr_init(r24646);
        mpfr_init(r24647);
        mpfr_init(r24648);
        mpfr_init(r24649);
        mpfr_init(r24650);
        mpfr_init(r24651);
        mpfr_init(r24652);
        mpfr_init(r24653);
        mpfr_init(r24654);
        mpfr_init(r24655);
        mpfr_init(r24656);
        mpfr_init(r24657);
        mpfr_init(r24658);
        mpfr_init(r24659);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24640, n, MPFR_RNDN);
        mpfr_mul(r24641, r24639, r24640, MPFR_RNDN);
        mpfr_set_d(r24642, U, MPFR_RNDN);
        mpfr_mul(r24643, r24641, r24642, MPFR_RNDN);
        mpfr_set_d(r24644, t, MPFR_RNDN);
        mpfr_set_d(r24645, l, MPFR_RNDN);
        mpfr_mul(r24646, r24645, r24645, MPFR_RNDN);
        mpfr_set_d(r24647, Om, MPFR_RNDN);
        mpfr_div(r24648, r24646, r24647, MPFR_RNDN);
        mpfr_mul(r24649, r24639, r24648, MPFR_RNDN);
        mpfr_sub(r24650, r24644, r24649, MPFR_RNDN);
        mpfr_div(r24651, r24645, r24647, MPFR_RNDN);
        mpfr_pow(r24652, r24651, r24639, MPFR_RNDN);
        mpfr_mul(r24653, r24640, r24652, MPFR_RNDN);
        mpfr_set_d(r24654, U_, MPFR_RNDN);
        mpfr_sub(r24655, r24642, r24654, MPFR_RNDN);
        mpfr_mul(r24656, r24653, r24655, MPFR_RNDN);
        mpfr_sub(r24657, r24650, r24656, MPFR_RNDN);
        mpfr_mul(r24658, r24643, r24657, MPFR_RNDN);
        mpfr_sqrt(r24659, r24658, MPFR_RNDN);
        return mpfr_get_d(r24659, MPFR_RNDN);
}

static mpfr_t r24660, r24661, r24662, r24663, r24664, r24665, r24666, r24667, r24668, r24669, r24670, r24671, r24672, r24673, r24674, r24675, r24676, r24677, r24678, r24679, r24680, r24681, r24682, r24683, r24684, r24685, r24686;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24660);
        mpfr_init_set_str(r24661, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24662);
        mpfr_init_set_str(r24663, "2", 10, MPFR_RNDN);
        mpfr_init(r24664);
        mpfr_init(r24665);
        mpfr_init(r24666);
        mpfr_init(r24667);
        mpfr_init(r24668);
        mpfr_init(r24669);
        mpfr_init(r24670);
        mpfr_init(r24671);
        mpfr_init(r24672);
        mpfr_init(r24673);
        mpfr_init(r24674);
        mpfr_init(r24675);
        mpfr_init(r24676);
        mpfr_init(r24677);
        mpfr_init(r24678);
        mpfr_init(r24679);
        mpfr_init(r24680);
        mpfr_init(r24681);
        mpfr_init(r24682);
        mpfr_init(r24683);
        mpfr_init(r24684);
        mpfr_init(r24685);
        mpfr_init(r24686);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24660, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24662, mpfr_cmp(r24660, r24661) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24664, r24663, r24660, MPFR_RNDN);
        mpfr_set_d(r24665, U, MPFR_RNDN);
        mpfr_set_d(r24666, t, MPFR_RNDN);
        mpfr_set_d(r24667, l, MPFR_RNDN);
        mpfr_set_d(r24668, Om, MPFR_RNDN);
        mpfr_div(r24669, r24668, r24667, MPFR_RNDN);
        mpfr_div(r24670, r24667, r24669, MPFR_RNDN);
        mpfr_mul(r24671, r24663, r24670, MPFR_RNDN);
        mpfr_sub(r24672, r24666, r24671, MPFR_RNDN);
        mpfr_div(r24673, r24667, r24668, MPFR_RNDN);
        mpfr_mul(r24674, r24660, r24673, MPFR_RNDN);
        mpfr_mul(r24675, r24674, r24673, MPFR_RNDN);
        mpfr_set_d(r24676, U_, MPFR_RNDN);
        mpfr_sub(r24677, r24665, r24676, MPFR_RNDN);
        mpfr_mul(r24678, r24675, r24677, MPFR_RNDN);
        mpfr_sub(r24679, r24672, r24678, MPFR_RNDN);
        mpfr_mul(r24680, r24665, r24679, MPFR_RNDN);
        mpfr_mul(r24681, r24664, r24680, MPFR_RNDN);
        mpfr_sqrt(r24682, r24681, MPFR_RNDN);
        mpfr_sqrt(r24683, r24664, MPFR_RNDN);
        mpfr_sqrt(r24684, r24680, MPFR_RNDN);
        mpfr_mul(r24685, r24683, r24684, MPFR_RNDN);
        if (mpfr_get_si(r24662, MPFR_RNDN)) { mpfr_set(r24686, r24682, MPFR_RNDN); } else { mpfr_set(r24686, r24685, MPFR_RNDN); };
        return mpfr_get_d(r24686, MPFR_RNDN);
}

static mpfr_t r24687, r24688, r24689, r24690, r24691, r24692, r24693, r24694, r24695, r24696, r24697, r24698, r24699, r24700, r24701, r24702, r24703, r24704, r24705, r24706, r24707, r24708, r24709, r24710, r24711, r24712, r24713;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24687);
        mpfr_init_set_str(r24688, "1.0112170135790667e-290", 10, MPFR_RNDN);
        mpfr_init(r24689);
        mpfr_init_set_str(r24690, "2", 10, MPFR_RNDN);
        mpfr_init(r24691);
        mpfr_init(r24692);
        mpfr_init(r24693);
        mpfr_init(r24694);
        mpfr_init(r24695);
        mpfr_init(r24696);
        mpfr_init(r24697);
        mpfr_init(r24698);
        mpfr_init(r24699);
        mpfr_init(r24700);
        mpfr_init(r24701);
        mpfr_init(r24702);
        mpfr_init(r24703);
        mpfr_init(r24704);
        mpfr_init(r24705);
        mpfr_init(r24706);
        mpfr_init(r24707);
        mpfr_init(r24708);
        mpfr_init(r24709);
        mpfr_init(r24710);
        mpfr_init(r24711);
        mpfr_init(r24712);
        mpfr_init(r24713);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24687, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24689, mpfr_cmp(r24687, r24688) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24691, r24690, r24687, MPFR_RNDN);
        mpfr_set_d(r24692, U, MPFR_RNDN);
        mpfr_set_d(r24693, t, MPFR_RNDN);
        mpfr_set_d(r24694, l, MPFR_RNDN);
        mpfr_set_d(r24695, Om, MPFR_RNDN);
        mpfr_div(r24696, r24695, r24694, MPFR_RNDN);
        mpfr_div(r24697, r24694, r24696, MPFR_RNDN);
        mpfr_mul(r24698, r24690, r24697, MPFR_RNDN);
        mpfr_sub(r24699, r24693, r24698, MPFR_RNDN);
        mpfr_div(r24700, r24694, r24695, MPFR_RNDN);
        mpfr_mul(r24701, r24687, r24700, MPFR_RNDN);
        mpfr_mul(r24702, r24701, r24700, MPFR_RNDN);
        mpfr_set_d(r24703, U_, MPFR_RNDN);
        mpfr_sub(r24704, r24692, r24703, MPFR_RNDN);
        mpfr_mul(r24705, r24702, r24704, MPFR_RNDN);
        mpfr_sub(r24706, r24699, r24705, MPFR_RNDN);
        mpfr_mul(r24707, r24692, r24706, MPFR_RNDN);
        mpfr_mul(r24708, r24691, r24707, MPFR_RNDN);
        mpfr_sqrt(r24709, r24708, MPFR_RNDN);
        mpfr_sqrt(r24710, r24691, MPFR_RNDN);
        mpfr_sqrt(r24711, r24707, MPFR_RNDN);
        mpfr_mul(r24712, r24710, r24711, MPFR_RNDN);
        if (mpfr_get_si(r24689, MPFR_RNDN)) { mpfr_set(r24713, r24709, MPFR_RNDN); } else { mpfr_set(r24713, r24712, MPFR_RNDN); };
        return mpfr_get_d(r24713, MPFR_RNDN);
}