#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 r24527 = 2;
        float r24528 = n;
        float r24529 = r24527 * r24528;
        float r24530 = U;
        float r24531 = r24529 * r24530;
        float r24532 = t;
        float r24533 = l;
        float r24534 = r24533 * r24533;
        float r24535 = Om;
        float r24536 = r24534 / r24535;
        float r24537 = r24527 * r24536;
        float r24538 = r24532 - r24537;
        float r24539 = r24533 / r24535;
        float r24540 = pow(r24539, r24527);
        float r24541 = r24528 * r24540;
        float r24542 = U_;
        float r24543 = r24530 - r24542;
        float r24544 = r24541 * r24543;
        float r24545 = r24538 - r24544;
        float r24546 = r24531 * r24545;
        float r24547 = sqrt(r24546);
        return r24547;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r24548 = 2;
        double r24549 = n;
        double r24550 = r24548 * r24549;
        double r24551 = U;
        double r24552 = r24550 * r24551;
        double r24553 = t;
        double r24554 = l;
        double r24555 = r24554 * r24554;
        double r24556 = Om;
        double r24557 = r24555 / r24556;
        double r24558 = r24548 * r24557;
        double r24559 = r24553 - r24558;
        double r24560 = r24554 / r24556;
        double r24561 = pow(r24560, r24548);
        double r24562 = r24549 * r24561;
        double r24563 = U_;
        double r24564 = r24551 - r24563;
        double r24565 = r24562 * r24564;
        double r24566 = r24559 - r24565;
        double r24567 = r24552 * r24566;
        double r24568 = sqrt(r24567);
        return r24568;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r24569 = n;
        float r24570 = 1.0336185503231454e-290;
        bool r24571 = r24569 <= r24570;
        float r24572 = 2;
        float r24573 = r24572 * r24569;
        float r24574 = U;
        float r24575 = t;
        float r24576 = l;
        float r24577 = Om;
        float r24578 = r24577 / r24576;
        float r24579 = r24576 / r24578;
        float r24580 = r24572 * r24579;
        float r24581 = r24575 - r24580;
        float r24582 = r24576 / r24577;
        float r24583 = r24569 * r24582;
        float r24584 = r24583 * r24582;
        float r24585 = U_;
        float r24586 = r24574 - r24585;
        float r24587 = r24584 * r24586;
        float r24588 = r24581 - r24587;
        float r24589 = r24574 * r24588;
        float r24590 = r24573 * r24589;
        float r24591 = sqrt(r24590);
        float r24592 = sqrt(r24573);
        float r24593 = r24576 * r24576;
        float r24594 = r24593 / r24577;
        float r24595 = r24572 * r24594;
        float r24596 = r24575 - r24595;
        float r24597 = r24596 - r24587;
        float r24598 = r24574 * r24597;
        float r24599 = sqrt(r24598);
        float r24600 = r24592 * r24599;
        float r24601 = r24571 ? r24591 : r24600;
        return r24601;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r24602 = n;
        double r24603 = 1.0336185503231454e-290;
        bool r24604 = r24602 <= r24603;
        double r24605 = 2;
        double r24606 = r24605 * r24602;
        double r24607 = U;
        double r24608 = t;
        double r24609 = l;
        double r24610 = Om;
        double r24611 = r24610 / r24609;
        double r24612 = r24609 / r24611;
        double r24613 = r24605 * r24612;
        double r24614 = r24608 - r24613;
        double r24615 = r24609 / r24610;
        double r24616 = r24602 * r24615;
        double r24617 = r24616 * r24615;
        double r24618 = U_;
        double r24619 = r24607 - r24618;
        double r24620 = r24617 * r24619;
        double r24621 = r24614 - r24620;
        double r24622 = r24607 * r24621;
        double r24623 = r24606 * r24622;
        double r24624 = sqrt(r24623);
        double r24625 = sqrt(r24606);
        double r24626 = r24609 * r24609;
        double r24627 = r24626 / r24610;
        double r24628 = r24605 * r24627;
        double r24629 = r24608 - r24628;
        double r24630 = r24629 - r24620;
        double r24631 = r24607 * r24630;
        double r24632 = sqrt(r24631);
        double r24633 = r24625 * r24632;
        double r24634 = r24604 ? r24624 : r24633;
        return r24634;
}

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 r24635, r24636, r24637, r24638, r24639, r24640, r24641, r24642, r24643, r24644, r24645, r24646, r24647, r24648, r24649, r24650, r24651, r24652, r24653, r24654, r24655;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r24635, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24652);
        mpfr_init(r24653);
        mpfr_init(r24654);
        mpfr_init(r24655);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r24636, n, MPFR_RNDN);
        mpfr_mul(r24637, r24635, r24636, MPFR_RNDN);
        mpfr_set_d(r24638, U, MPFR_RNDN);
        mpfr_mul(r24639, r24637, r24638, MPFR_RNDN);
        mpfr_set_d(r24640, t, MPFR_RNDN);
        mpfr_set_d(r24641, l, MPFR_RNDN);
        mpfr_mul(r24642, r24641, r24641, MPFR_RNDN);
        mpfr_set_d(r24643, Om, MPFR_RNDN);
        mpfr_div(r24644, r24642, r24643, MPFR_RNDN);
        mpfr_mul(r24645, r24635, r24644, MPFR_RNDN);
        mpfr_sub(r24646, r24640, r24645, MPFR_RNDN);
        mpfr_div(r24647, r24641, r24643, MPFR_RNDN);
        mpfr_pow(r24648, r24647, r24635, MPFR_RNDN);
        mpfr_mul(r24649, r24636, r24648, MPFR_RNDN);
        mpfr_set_d(r24650, U_, MPFR_RNDN);
        mpfr_sub(r24651, r24638, r24650, MPFR_RNDN);
        mpfr_mul(r24652, r24649, r24651, MPFR_RNDN);
        mpfr_sub(r24653, r24646, r24652, MPFR_RNDN);
        mpfr_mul(r24654, r24639, r24653, MPFR_RNDN);
        mpfr_sqrt(r24655, r24654, MPFR_RNDN);
        return mpfr_get_d(r24655, MPFR_RNDN);
}

static mpfr_t r24656, r24657, r24658, r24659, 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, r24687, r24688;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24656);
        mpfr_init_set_str(r24657, "1.0336185503231454e-290", 10, MPFR_RNDN);
        mpfr_init(r24658);
        mpfr_init_set_str(r24659, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24679);
        mpfr_init(r24680);
        mpfr_init(r24681);
        mpfr_init(r24682);
        mpfr_init(r24683);
        mpfr_init(r24684);
        mpfr_init(r24685);
        mpfr_init(r24686);
        mpfr_init(r24687);
        mpfr_init(r24688);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24656, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24658, mpfr_cmp(r24656, r24657) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24660, r24659, r24656, MPFR_RNDN);
        mpfr_set_d(r24661, U, MPFR_RNDN);
        mpfr_set_d(r24662, t, MPFR_RNDN);
        mpfr_set_d(r24663, l, MPFR_RNDN);
        mpfr_set_d(r24664, Om, MPFR_RNDN);
        mpfr_div(r24665, r24664, r24663, MPFR_RNDN);
        mpfr_div(r24666, r24663, r24665, MPFR_RNDN);
        mpfr_mul(r24667, r24659, r24666, MPFR_RNDN);
        mpfr_sub(r24668, r24662, r24667, MPFR_RNDN);
        mpfr_div(r24669, r24663, r24664, MPFR_RNDN);
        mpfr_mul(r24670, r24656, r24669, MPFR_RNDN);
        mpfr_mul(r24671, r24670, r24669, MPFR_RNDN);
        mpfr_set_d(r24672, U_, MPFR_RNDN);
        mpfr_sub(r24673, r24661, r24672, MPFR_RNDN);
        mpfr_mul(r24674, r24671, r24673, MPFR_RNDN);
        mpfr_sub(r24675, r24668, r24674, MPFR_RNDN);
        mpfr_mul(r24676, r24661, r24675, MPFR_RNDN);
        mpfr_mul(r24677, r24660, r24676, MPFR_RNDN);
        mpfr_sqrt(r24678, r24677, MPFR_RNDN);
        mpfr_sqrt(r24679, r24660, MPFR_RNDN);
        mpfr_mul(r24680, r24663, r24663, MPFR_RNDN);
        mpfr_div(r24681, r24680, r24664, MPFR_RNDN);
        mpfr_mul(r24682, r24659, r24681, MPFR_RNDN);
        mpfr_sub(r24683, r24662, r24682, MPFR_RNDN);
        mpfr_sub(r24684, r24683, r24674, MPFR_RNDN);
        mpfr_mul(r24685, r24661, r24684, MPFR_RNDN);
        mpfr_sqrt(r24686, r24685, MPFR_RNDN);
        mpfr_mul(r24687, r24679, r24686, MPFR_RNDN);
        if (mpfr_get_si(r24658, MPFR_RNDN)) { mpfr_set(r24688, r24678, MPFR_RNDN); } else { mpfr_set(r24688, r24687, MPFR_RNDN); };
        return mpfr_get_d(r24688, MPFR_RNDN);
}

static mpfr_t 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, r24714, r24715, r24716, r24717, r24718, r24719, r24720, r24721;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r24689);
        mpfr_init_set_str(r24690, "1.0336185503231454e-290", 10, MPFR_RNDN);
        mpfr_init(r24691);
        mpfr_init_set_str(r24692, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24714);
        mpfr_init(r24715);
        mpfr_init(r24716);
        mpfr_init(r24717);
        mpfr_init(r24718);
        mpfr_init(r24719);
        mpfr_init(r24720);
        mpfr_init(r24721);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r24689, n, MPFR_RNDN);
        ;
        mpfr_set_si(r24691, mpfr_cmp(r24689, r24690) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r24693, r24692, r24689, MPFR_RNDN);
        mpfr_set_d(r24694, U, MPFR_RNDN);
        mpfr_set_d(r24695, t, MPFR_RNDN);
        mpfr_set_d(r24696, l, MPFR_RNDN);
        mpfr_set_d(r24697, Om, MPFR_RNDN);
        mpfr_div(r24698, r24697, r24696, MPFR_RNDN);
        mpfr_div(r24699, r24696, r24698, MPFR_RNDN);
        mpfr_mul(r24700, r24692, r24699, MPFR_RNDN);
        mpfr_sub(r24701, r24695, r24700, MPFR_RNDN);
        mpfr_div(r24702, r24696, r24697, MPFR_RNDN);
        mpfr_mul(r24703, r24689, r24702, MPFR_RNDN);
        mpfr_mul(r24704, r24703, r24702, MPFR_RNDN);
        mpfr_set_d(r24705, U_, MPFR_RNDN);
        mpfr_sub(r24706, r24694, r24705, MPFR_RNDN);
        mpfr_mul(r24707, r24704, r24706, MPFR_RNDN);
        mpfr_sub(r24708, r24701, r24707, MPFR_RNDN);
        mpfr_mul(r24709, r24694, r24708, MPFR_RNDN);
        mpfr_mul(r24710, r24693, r24709, MPFR_RNDN);
        mpfr_sqrt(r24711, r24710, MPFR_RNDN);
        mpfr_sqrt(r24712, r24693, MPFR_RNDN);
        mpfr_mul(r24713, r24696, r24696, MPFR_RNDN);
        mpfr_div(r24714, r24713, r24697, MPFR_RNDN);
        mpfr_mul(r24715, r24692, r24714, MPFR_RNDN);
        mpfr_sub(r24716, r24695, r24715, MPFR_RNDN);
        mpfr_sub(r24717, r24716, r24707, MPFR_RNDN);
        mpfr_mul(r24718, r24694, r24717, MPFR_RNDN);
        mpfr_sqrt(r24719, r24718, MPFR_RNDN);
        mpfr_mul(r24720, r24712, r24719, MPFR_RNDN);
        if (mpfr_get_si(r24691, MPFR_RNDN)) { mpfr_set(r24721, r24711, MPFR_RNDN); } else { mpfr_set(r24721, r24720, MPFR_RNDN); };
        return mpfr_get_d(r24721, MPFR_RNDN);
}

