#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 r24535 = 2;
        float r24536 = n;
        float r24537 = r24535 * r24536;
        float r24538 = U;
        float r24539 = r24537 * r24538;
        float r24540 = t;
        float r24541 = l;
        float r24542 = r24541 * r24541;
        float r24543 = Om;
        float r24544 = r24542 / r24543;
        float r24545 = r24535 * r24544;
        float r24546 = r24540 - r24545;
        float r24547 = r24541 / r24543;
        float r24548 = pow(r24547, r24535);
        float r24549 = r24536 * r24548;
        float r24550 = U_;
        float r24551 = r24538 - r24550;
        float r24552 = r24549 * r24551;
        float r24553 = r24546 - r24552;
        float r24554 = r24539 * r24553;
        float r24555 = sqrt(r24554);
        return r24555;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24556 = 2;
        double r24557 = n;
        double r24558 = r24556 * r24557;
        double r24559 = U;
        double r24560 = r24558 * r24559;
        double r24561 = t;
        double r24562 = l;
        double r24563 = r24562 * r24562;
        double r24564 = Om;
        double r24565 = r24563 / r24564;
        double r24566 = r24556 * r24565;
        double r24567 = r24561 - r24566;
        double r24568 = r24562 / r24564;
        double r24569 = pow(r24568, r24556);
        double r24570 = r24557 * r24569;
        double r24571 = U_;
        double r24572 = r24559 - r24571;
        double r24573 = r24570 * r24572;
        double r24574 = r24567 - r24573;
        double r24575 = r24560 * r24574;
        double r24576 = sqrt(r24575);
        return r24576;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24577 = n;
        float r24578 = 4.688956426545208e-289;
        bool r24579 = r24577 <= r24578;
        float r24580 = 2;
        float r24581 = r24580 * r24577;
        float r24582 = U;
        float r24583 = t;
        float r24584 = l;
        float r24585 = Om;
        float r24586 = r24585 / r24584;
        float r24587 = r24584 / r24586;
        float r24588 = r24580 * r24587;
        float r24589 = r24583 - r24588;
        float r24590 = r24584 / r24585;
        float r24591 = r24577 * r24590;
        float r24592 = r24591 * r24590;
        float r24593 = U_;
        float r24594 = r24582 - r24593;
        float r24595 = r24592 * r24594;
        float r24596 = r24589 - r24595;
        float r24597 = r24582 * r24596;
        float r24598 = r24581 * r24597;
        float r24599 = sqrt(r24598);
        float r24600 = sqrt(r24581);
        float r24601 = sqrt(r24597);
        float r24602 = r24600 * r24601;
        float r24603 = r24579 ? r24599 : r24602;
        return r24603;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24604 = n;
        double r24605 = 4.688956426545208e-289;
        bool r24606 = r24604 <= r24605;
        double r24607 = 2;
        double r24608 = r24607 * r24604;
        double r24609 = U;
        double r24610 = t;
        double r24611 = l;
        double r24612 = Om;
        double r24613 = r24612 / r24611;
        double r24614 = r24611 / r24613;
        double r24615 = r24607 * r24614;
        double r24616 = r24610 - r24615;
        double r24617 = r24611 / r24612;
        double r24618 = r24604 * r24617;
        double r24619 = r24618 * r24617;
        double r24620 = U_;
        double r24621 = r24609 - r24620;
        double r24622 = r24619 * r24621;
        double r24623 = r24616 - r24622;
        double r24624 = r24609 * r24623;
        double r24625 = r24608 * r24624;
        double r24626 = sqrt(r24625);
        double r24627 = sqrt(r24608);
        double r24628 = sqrt(r24624);
        double r24629 = r24627 * r24628;
        double r24630 = r24606 ? r24626 : r24629;
        return r24630;
}

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 r24631, r24632, r24633, r24634, r24635, r24636, r24637, r24638, r24639, r24640, r24641, r24642, r24643, r24644, r24645, r24646, r24647, r24648, r24649, r24650, r24651;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24631, "2", 10, MPFR_RNDN);
        mpfr_init(r24632);
        mpfr_init(r24633);
        mpfr_init(r24634);
        mpfr_init(r24635);
        mpfr_init(r24636);
        mpfr_init(r24637);
        mpfr_init(r24638);
        mpfr_init(r24639);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24632, n, MPFR_RNDN);
        mpfr_mul(r24633, r24631, r24632, MPFR_RNDN);
        mpfr_set_d(r24634, U, MPFR_RNDN);
        mpfr_mul(r24635, r24633, r24634, MPFR_RNDN);
        mpfr_set_d(r24636, t, MPFR_RNDN);
        mpfr_set_d(r24637, l, MPFR_RNDN);
        mpfr_mul(r24638, r24637, r24637, MPFR_RNDN);
        mpfr_set_d(r24639, Om, MPFR_RNDN);
        mpfr_div(r24640, r24638, r24639, MPFR_RNDN);
        mpfr_mul(r24641, r24631, r24640, MPFR_RNDN);
        mpfr_sub(r24642, r24636, r24641, MPFR_RNDN);
        mpfr_div(r24643, r24637, r24639, MPFR_RNDN);
        mpfr_pow(r24644, r24643, r24631, MPFR_RNDN);
        mpfr_mul(r24645, r24632, r24644, MPFR_RNDN);
        mpfr_set_d(r24646, U_, MPFR_RNDN);
        mpfr_sub(r24647, r24634, r24646, MPFR_RNDN);
        mpfr_mul(r24648, r24645, r24647, MPFR_RNDN);
        mpfr_sub(r24649, r24642, r24648, MPFR_RNDN);
        mpfr_mul(r24650, r24635, r24649, MPFR_RNDN);
        mpfr_sqrt(r24651, r24650, MPFR_RNDN);
        return mpfr_get_d(r24651, MPFR_RNDN);
}

static mpfr_t r24652, r24653, r24654, r24655, r24656, r24657, r24658, r24659, r24660, r24661, r24662, r24663, r24664, r24665, r24666, r24667, r24668, r24669, r24670, r24671, r24672, r24673, r24674, r24675, r24676, r24677, r24678;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24652);
        mpfr_init_set_str(r24653, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24654);
        mpfr_init_set_str(r24655, "2", 10, MPFR_RNDN);
        mpfr_init(r24656);
        mpfr_init(r24657);
        mpfr_init(r24658);
        mpfr_init(r24659);
        mpfr_init(r24660);
        mpfr_init(r24661);
        mpfr_init(r24662);
        mpfr_init(r24663);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24652, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24654, mpfr_cmp(r24652, r24653) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24656, r24655, r24652, MPFR_RNDN);
        mpfr_set_d(r24657, U, MPFR_RNDN);
        mpfr_set_d(r24658, t, MPFR_RNDN);
        mpfr_set_d(r24659, l, MPFR_RNDN);
        mpfr_set_d(r24660, Om, MPFR_RNDN);
        mpfr_div(r24661, r24660, r24659, MPFR_RNDN);
        mpfr_div(r24662, r24659, r24661, MPFR_RNDN);
        mpfr_mul(r24663, r24655, r24662, MPFR_RNDN);
        mpfr_sub(r24664, r24658, r24663, MPFR_RNDN);
        mpfr_div(r24665, r24659, r24660, MPFR_RNDN);
        mpfr_mul(r24666, r24652, r24665, MPFR_RNDN);
        mpfr_mul(r24667, r24666, r24665, MPFR_RNDN);
        mpfr_set_d(r24668, U_, MPFR_RNDN);
        mpfr_sub(r24669, r24657, r24668, MPFR_RNDN);
        mpfr_mul(r24670, r24667, r24669, MPFR_RNDN);
        mpfr_sub(r24671, r24664, r24670, MPFR_RNDN);
        mpfr_mul(r24672, r24657, r24671, MPFR_RNDN);
        mpfr_mul(r24673, r24656, r24672, MPFR_RNDN);
        mpfr_sqrt(r24674, r24673, MPFR_RNDN);
        mpfr_sqrt(r24675, r24656, MPFR_RNDN);
        mpfr_sqrt(r24676, r24672, MPFR_RNDN);
        mpfr_mul(r24677, r24675, r24676, MPFR_RNDN);
        if (mpfr_get_si(r24654, MPFR_RNDN)) { mpfr_set(r24678, r24674, MPFR_RNDN); } else { mpfr_set(r24678, r24677, MPFR_RNDN); };
        return mpfr_get_d(r24678, MPFR_RNDN);
}

static mpfr_t r24679, r24680, r24681, r24682, r24683, r24684, r24685, r24686, r24687, r24688, r24689, r24690, r24691, r24692, r24693, r24694, r24695, r24696, r24697, r24698, r24699, r24700, r24701, r24702, r24703, r24704, r24705;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24679);
        mpfr_init_set_str(r24680, "4.688956426545208e-289", 10, MPFR_RNDN);
        mpfr_init(r24681);
        mpfr_init_set_str(r24682, "2", 10, MPFR_RNDN);
        mpfr_init(r24683);
        mpfr_init(r24684);
        mpfr_init(r24685);
        mpfr_init(r24686);
        mpfr_init(r24687);
        mpfr_init(r24688);
        mpfr_init(r24689);
        mpfr_init(r24690);
        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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24679, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24681, mpfr_cmp(r24679, r24680) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24683, r24682, r24679, MPFR_RNDN);
        mpfr_set_d(r24684, U, MPFR_RNDN);
        mpfr_set_d(r24685, t, MPFR_RNDN);
        mpfr_set_d(r24686, l, MPFR_RNDN);
        mpfr_set_d(r24687, Om, MPFR_RNDN);
        mpfr_div(r24688, r24687, r24686, MPFR_RNDN);
        mpfr_div(r24689, r24686, r24688, MPFR_RNDN);
        mpfr_mul(r24690, r24682, r24689, MPFR_RNDN);
        mpfr_sub(r24691, r24685, r24690, MPFR_RNDN);
        mpfr_div(r24692, r24686, r24687, MPFR_RNDN);
        mpfr_mul(r24693, r24679, r24692, MPFR_RNDN);
        mpfr_mul(r24694, r24693, r24692, MPFR_RNDN);
        mpfr_set_d(r24695, U_, MPFR_RNDN);
        mpfr_sub(r24696, r24684, r24695, MPFR_RNDN);
        mpfr_mul(r24697, r24694, r24696, MPFR_RNDN);
        mpfr_sub(r24698, r24691, r24697, MPFR_RNDN);
        mpfr_mul(r24699, r24684, r24698, MPFR_RNDN);
        mpfr_mul(r24700, r24683, r24699, MPFR_RNDN);
        mpfr_sqrt(r24701, r24700, MPFR_RNDN);
        mpfr_sqrt(r24702, r24683, MPFR_RNDN);
        mpfr_sqrt(r24703, r24699, MPFR_RNDN);
        mpfr_mul(r24704, r24702, r24703, MPFR_RNDN);
        if (mpfr_get_si(r24681, MPFR_RNDN)) { mpfr_set(r24705, r24701, MPFR_RNDN); } else { mpfr_set(r24705, r24704, MPFR_RNDN); };
        return mpfr_get_d(r24705, MPFR_RNDN);
}