#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 r21496 = 2;
        float r21497 = n;
        float r21498 = r21496 * r21497;
        float r21499 = U;
        float r21500 = r21498 * r21499;
        float r21501 = t;
        float r21502 = l;
        float r21503 = r21502 * r21502;
        float r21504 = Om;
        float r21505 = r21503 / r21504;
        float r21506 = r21496 * r21505;
        float r21507 = r21501 - r21506;
        float r21508 = r21502 / r21504;
        float r21509 = pow(r21508, r21496);
        float r21510 = r21497 * r21509;
        float r21511 = U_;
        float r21512 = r21499 - r21511;
        float r21513 = r21510 * r21512;
        float r21514 = r21507 - r21513;
        float r21515 = r21500 * r21514;
        float r21516 = sqrt(r21515);
        return r21516;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21517 = 2;
        double r21518 = n;
        double r21519 = r21517 * r21518;
        double r21520 = U;
        double r21521 = r21519 * r21520;
        double r21522 = t;
        double r21523 = l;
        double r21524 = r21523 * r21523;
        double r21525 = Om;
        double r21526 = r21524 / r21525;
        double r21527 = r21517 * r21526;
        double r21528 = r21522 - r21527;
        double r21529 = r21523 / r21525;
        double r21530 = pow(r21529, r21517);
        double r21531 = r21518 * r21530;
        double r21532 = U_;
        double r21533 = r21520 - r21532;
        double r21534 = r21531 * r21533;
        double r21535 = r21528 - r21534;
        double r21536 = r21521 * r21535;
        double r21537 = sqrt(r21536);
        return r21537;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21538 = n;
        float r21539 = r21538 + r21538;
        float r21540 = U;
        float r21541 = r21539 * r21540;
        float r21542 = -5.560488294448481e-147;
        bool r21543 = r21541 <= r21542;
        float r21544 = 2;
        float r21545 = r21544 * r21538;
        float r21546 = r21545 * r21540;
        float r21547 = t;
        float r21548 = l;
        float r21549 = Om;
        float r21550 = r21549 / r21548;
        float r21551 = r21548 / r21550;
        float r21552 = r21544 * r21551;
        float r21553 = r21547 - r21552;
        float r21554 = r21548 / r21549;
        float r21555 = pow(r21554, r21544);
        float r21556 = r21538 * r21555;
        float r21557 = U_;
        float r21558 = r21540 - r21557;
        float r21559 = r21556 * r21558;
        float r21560 = r21553 - r21559;
        float r21561 = r21546 * r21560;
        float r21562 = sqrt(r21561);
        float r21563 = cbrt(r21562);
        float r21564 = r21563 * r21563;
        float r21565 = r21564 * r21563;
        float r21566 = 2.9280009995748e-317;
        bool r21567 = r21541 <= r21566;
        float r21568 = r21540 * r21560;
        float r21569 = r21545 * r21568;
        float r21570 = sqrt(r21569);
        float r21571 = sqrt(r21546);
        float r21572 = sqrt(r21560);
        float r21573 = r21571 * r21572;
        float r21574 = r21567 ? r21570 : r21573;
        float r21575 = r21543 ? r21565 : r21574;
        return r21575;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21576 = n;
        double r21577 = r21576 + r21576;
        double r21578 = U;
        double r21579 = r21577 * r21578;
        double r21580 = -5.560488294448481e-147;
        bool r21581 = r21579 <= r21580;
        double r21582 = 2;
        double r21583 = r21582 * r21576;
        double r21584 = r21583 * r21578;
        double r21585 = t;
        double r21586 = l;
        double r21587 = Om;
        double r21588 = r21587 / r21586;
        double r21589 = r21586 / r21588;
        double r21590 = r21582 * r21589;
        double r21591 = r21585 - r21590;
        double r21592 = r21586 / r21587;
        double r21593 = pow(r21592, r21582);
        double r21594 = r21576 * r21593;
        double r21595 = U_;
        double r21596 = r21578 - r21595;
        double r21597 = r21594 * r21596;
        double r21598 = r21591 - r21597;
        double r21599 = r21584 * r21598;
        double r21600 = sqrt(r21599);
        double r21601 = cbrt(r21600);
        double r21602 = r21601 * r21601;
        double r21603 = r21602 * r21601;
        double r21604 = 2.9280009995748e-317;
        bool r21605 = r21579 <= r21604;
        double r21606 = r21578 * r21598;
        double r21607 = r21583 * r21606;
        double r21608 = sqrt(r21607);
        double r21609 = sqrt(r21584);
        double r21610 = sqrt(r21598);
        double r21611 = r21609 * r21610;
        double r21612 = r21605 ? r21608 : r21611;
        double r21613 = r21581 ? r21603 : r21612;
        return r21613;
}

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 r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21614, "2", 10, MPFR_RNDN);
        mpfr_init(r21615);
        mpfr_init(r21616);
        mpfr_init(r21617);
        mpfr_init(r21618);
        mpfr_init(r21619);
        mpfr_init(r21620);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init(r21625);
        mpfr_init(r21626);
        mpfr_init(r21627);
        mpfr_init(r21628);
        mpfr_init(r21629);
        mpfr_init(r21630);
        mpfr_init(r21631);
        mpfr_init(r21632);
        mpfr_init(r21633);
        mpfr_init(r21634);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21615, n, MPFR_RNDN);
        mpfr_mul(r21616, r21614, r21615, MPFR_RNDN);
        mpfr_set_d(r21617, U, MPFR_RNDN);
        mpfr_mul(r21618, r21616, r21617, MPFR_RNDN);
        mpfr_set_d(r21619, t, MPFR_RNDN);
        mpfr_set_d(r21620, l, MPFR_RNDN);
        mpfr_mul(r21621, r21620, r21620, MPFR_RNDN);
        mpfr_set_d(r21622, Om, MPFR_RNDN);
        mpfr_div(r21623, r21621, r21622, MPFR_RNDN);
        mpfr_mul(r21624, r21614, r21623, MPFR_RNDN);
        mpfr_sub(r21625, r21619, r21624, MPFR_RNDN);
        mpfr_div(r21626, r21620, r21622, MPFR_RNDN);
        mpfr_pow(r21627, r21626, r21614, MPFR_RNDN);
        mpfr_mul(r21628, r21615, r21627, MPFR_RNDN);
        mpfr_set_d(r21629, U_, MPFR_RNDN);
        mpfr_sub(r21630, r21617, r21629, MPFR_RNDN);
        mpfr_mul(r21631, r21628, r21630, MPFR_RNDN);
        mpfr_sub(r21632, r21625, r21631, MPFR_RNDN);
        mpfr_mul(r21633, r21618, r21632, MPFR_RNDN);
        mpfr_sqrt(r21634, r21633, MPFR_RNDN);
        return mpfr_get_d(r21634, MPFR_RNDN);
}

static mpfr_t r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21635);
        mpfr_init(r21636);
        mpfr_init(r21637);
        mpfr_init(r21638);
        mpfr_init_set_str(r21639, "-5.560488294448481e-147", 10, MPFR_RNDN);
        mpfr_init(r21640);
        mpfr_init_set_str(r21641, "2", 10, MPFR_RNDN);
        mpfr_init(r21642);
        mpfr_init(r21643);
        mpfr_init(r21644);
        mpfr_init(r21645);
        mpfr_init(r21646);
        mpfr_init(r21647);
        mpfr_init(r21648);
        mpfr_init(r21649);
        mpfr_init(r21650);
        mpfr_init(r21651);
        mpfr_init(r21652);
        mpfr_init(r21653);
        mpfr_init(r21654);
        mpfr_init(r21655);
        mpfr_init(r21656);
        mpfr_init(r21657);
        mpfr_init(r21658);
        mpfr_init(r21659);
        mpfr_init(r21660);
        mpfr_init(r21661);
        mpfr_init(r21662);
        mpfr_init_set_str(r21663, "2.9280009995748e-317", 10, MPFR_RNDN);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21635, n, MPFR_RNDN);
        mpfr_add(r21636, r21635, r21635, MPFR_RNDN);
        mpfr_set_d(r21637, U, MPFR_RNDN);
        mpfr_mul(r21638, r21636, r21637, MPFR_RNDN);
        ;
        mpfr_set_si(r21640, mpfr_cmp(r21638, r21639) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21642, r21641, r21635, MPFR_RNDN);
        mpfr_mul(r21643, r21642, r21637, MPFR_RNDN);
        mpfr_set_d(r21644, t, MPFR_RNDN);
        mpfr_set_d(r21645, l, MPFR_RNDN);
        mpfr_set_d(r21646, Om, MPFR_RNDN);
        mpfr_div(r21647, r21646, r21645, MPFR_RNDN);
        mpfr_div(r21648, r21645, r21647, MPFR_RNDN);
        mpfr_mul(r21649, r21641, r21648, MPFR_RNDN);
        mpfr_sub(r21650, r21644, r21649, MPFR_RNDN);
        mpfr_div(r21651, r21645, r21646, MPFR_RNDN);
        mpfr_pow(r21652, r21651, r21641, MPFR_RNDN);
        mpfr_mul(r21653, r21635, r21652, MPFR_RNDN);
        mpfr_set_d(r21654, U_, MPFR_RNDN);
        mpfr_sub(r21655, r21637, r21654, MPFR_RNDN);
        mpfr_mul(r21656, r21653, r21655, MPFR_RNDN);
        mpfr_sub(r21657, r21650, r21656, MPFR_RNDN);
        mpfr_mul(r21658, r21643, r21657, MPFR_RNDN);
        mpfr_sqrt(r21659, r21658, MPFR_RNDN);
        mpfr_cbrt(r21660, r21659, MPFR_RNDN);
        mpfr_mul(r21661, r21660, r21660, MPFR_RNDN);
        mpfr_mul(r21662, r21661, r21660, MPFR_RNDN);
        ;
        mpfr_set_si(r21664, mpfr_cmp(r21638, r21663) <= 0, MPFR_RNDN);
        mpfr_mul(r21665, r21637, r21657, MPFR_RNDN);
        mpfr_mul(r21666, r21642, r21665, MPFR_RNDN);
        mpfr_sqrt(r21667, r21666, MPFR_RNDN);
        mpfr_sqrt(r21668, r21643, MPFR_RNDN);
        mpfr_sqrt(r21669, r21657, MPFR_RNDN);
        mpfr_mul(r21670, r21668, r21669, MPFR_RNDN);
        if (mpfr_get_si(r21664, MPFR_RNDN)) { mpfr_set(r21671, r21667, MPFR_RNDN); } else { mpfr_set(r21671, r21670, MPFR_RNDN); };
        if (mpfr_get_si(r21640, MPFR_RNDN)) { mpfr_set(r21672, r21662, MPFR_RNDN); } else { mpfr_set(r21672, r21671, MPFR_RNDN); };
        return mpfr_get_d(r21672, MPFR_RNDN);
}

static mpfr_t r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693, r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702, r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21673);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init_set_str(r21677, "-5.560488294448481e-147", 10, MPFR_RNDN);
        mpfr_init(r21678);
        mpfr_init_set_str(r21679, "2", 10, MPFR_RNDN);
        mpfr_init(r21680);
        mpfr_init(r21681);
        mpfr_init(r21682);
        mpfr_init(r21683);
        mpfr_init(r21684);
        mpfr_init(r21685);
        mpfr_init(r21686);
        mpfr_init(r21687);
        mpfr_init(r21688);
        mpfr_init(r21689);
        mpfr_init(r21690);
        mpfr_init(r21691);
        mpfr_init(r21692);
        mpfr_init(r21693);
        mpfr_init(r21694);
        mpfr_init(r21695);
        mpfr_init(r21696);
        mpfr_init(r21697);
        mpfr_init(r21698);
        mpfr_init(r21699);
        mpfr_init(r21700);
        mpfr_init_set_str(r21701, "2.9280009995748e-317", 10, MPFR_RNDN);
        mpfr_init(r21702);
        mpfr_init(r21703);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init(r21706);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21673, n, MPFR_RNDN);
        mpfr_add(r21674, r21673, r21673, MPFR_RNDN);
        mpfr_set_d(r21675, U, MPFR_RNDN);
        mpfr_mul(r21676, r21674, r21675, MPFR_RNDN);
        ;
        mpfr_set_si(r21678, mpfr_cmp(r21676, r21677) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21680, r21679, r21673, MPFR_RNDN);
        mpfr_mul(r21681, r21680, r21675, MPFR_RNDN);
        mpfr_set_d(r21682, t, MPFR_RNDN);
        mpfr_set_d(r21683, l, MPFR_RNDN);
        mpfr_set_d(r21684, Om, MPFR_RNDN);
        mpfr_div(r21685, r21684, r21683, MPFR_RNDN);
        mpfr_div(r21686, r21683, r21685, MPFR_RNDN);
        mpfr_mul(r21687, r21679, r21686, MPFR_RNDN);
        mpfr_sub(r21688, r21682, r21687, MPFR_RNDN);
        mpfr_div(r21689, r21683, r21684, MPFR_RNDN);
        mpfr_pow(r21690, r21689, r21679, MPFR_RNDN);
        mpfr_mul(r21691, r21673, r21690, MPFR_RNDN);
        mpfr_set_d(r21692, U_, MPFR_RNDN);
        mpfr_sub(r21693, r21675, r21692, MPFR_RNDN);
        mpfr_mul(r21694, r21691, r21693, MPFR_RNDN);
        mpfr_sub(r21695, r21688, r21694, MPFR_RNDN);
        mpfr_mul(r21696, r21681, r21695, MPFR_RNDN);
        mpfr_sqrt(r21697, r21696, MPFR_RNDN);
        mpfr_cbrt(r21698, r21697, MPFR_RNDN);
        mpfr_mul(r21699, r21698, r21698, MPFR_RNDN);
        mpfr_mul(r21700, r21699, r21698, MPFR_RNDN);
        ;
        mpfr_set_si(r21702, mpfr_cmp(r21676, r21701) <= 0, MPFR_RNDN);
        mpfr_mul(r21703, r21675, r21695, MPFR_RNDN);
        mpfr_mul(r21704, r21680, r21703, MPFR_RNDN);
        mpfr_sqrt(r21705, r21704, MPFR_RNDN);
        mpfr_sqrt(r21706, r21681, MPFR_RNDN);
        mpfr_sqrt(r21707, r21695, MPFR_RNDN);
        mpfr_mul(r21708, r21706, r21707, MPFR_RNDN);
        if (mpfr_get_si(r21702, MPFR_RNDN)) { mpfr_set(r21709, r21705, MPFR_RNDN); } else { mpfr_set(r21709, r21708, MPFR_RNDN); };
        if (mpfr_get_si(r21678, MPFR_RNDN)) { mpfr_set(r21710, r21700, MPFR_RNDN); } else { mpfr_set(r21710, r21709, MPFR_RNDN); };
        return mpfr_get_d(r21710, MPFR_RNDN);
}