#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 r21482 = 2;
        float r21483 = n;
        float r21484 = r21482 * r21483;
        float r21485 = U;
        float r21486 = r21484 * r21485;
        float r21487 = t;
        float r21488 = l;
        float r21489 = r21488 * r21488;
        float r21490 = Om;
        float r21491 = r21489 / r21490;
        float r21492 = r21482 * r21491;
        float r21493 = r21487 - r21492;
        float r21494 = r21488 / r21490;
        float r21495 = pow(r21494, r21482);
        float r21496 = r21483 * r21495;
        float r21497 = U_;
        float r21498 = r21485 - r21497;
        float r21499 = r21496 * r21498;
        float r21500 = r21493 - r21499;
        float r21501 = r21486 * r21500;
        float r21502 = sqrt(r21501);
        return r21502;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21503 = 2;
        double r21504 = n;
        double r21505 = r21503 * r21504;
        double r21506 = U;
        double r21507 = r21505 * r21506;
        double r21508 = t;
        double r21509 = l;
        double r21510 = r21509 * r21509;
        double r21511 = Om;
        double r21512 = r21510 / r21511;
        double r21513 = r21503 * r21512;
        double r21514 = r21508 - r21513;
        double r21515 = r21509 / r21511;
        double r21516 = pow(r21515, r21503);
        double r21517 = r21504 * r21516;
        double r21518 = U_;
        double r21519 = r21506 - r21518;
        double r21520 = r21517 * r21519;
        double r21521 = r21514 - r21520;
        double r21522 = r21507 * r21521;
        double r21523 = sqrt(r21522);
        return r21523;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21524 = n;
        float r21525 = r21524 + r21524;
        float r21526 = U;
        float r21527 = r21525 * r21526;
        float r21528 = -2.669612630324069e-119;
        bool r21529 = r21527 <= r21528;
        float r21530 = 2;
        float r21531 = r21530 * r21524;
        float r21532 = r21531 * r21526;
        float r21533 = t;
        float r21534 = l;
        float r21535 = Om;
        float r21536 = r21535 / r21534;
        float r21537 = r21534 / r21536;
        float r21538 = r21530 * r21537;
        float r21539 = r21533 - r21538;
        float r21540 = r21534 / r21535;
        float r21541 = pow(r21540, r21530);
        float r21542 = r21524 * r21541;
        float r21543 = U_;
        float r21544 = r21526 - r21543;
        float r21545 = r21542 * r21544;
        float r21546 = r21539 - r21545;
        float r21547 = r21532 * r21546;
        float r21548 = sqrt(r21547);
        float r21549 = sqrt(r21548);
        float r21550 = r21549 * r21549;
        float r21551 = 1.5263147023119e-312;
        bool r21552 = r21527 <= r21551;
        float r21553 = cbrt(r21540);
        float r21554 = r21524 * r21534;
        float r21555 = r21554 / r21535;
        float r21556 = r21553 * r21555;
        float r21557 = pow(r21553, r21530);
        float r21558 = r21556 * r21557;
        float r21559 = r21558 * r21544;
        float r21560 = r21539 - r21559;
        float r21561 = r21526 * r21560;
        float r21562 = r21531 * r21561;
        float r21563 = sqrt(r21562);
        float r21564 = sqrt(r21532);
        float r21565 = sqrt(r21546);
        float r21566 = r21564 * r21565;
        float r21567 = r21552 ? r21563 : r21566;
        float r21568 = r21529 ? r21550 : r21567;
        return r21568;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21569 = n;
        double r21570 = r21569 + r21569;
        double r21571 = U;
        double r21572 = r21570 * r21571;
        double r21573 = -2.669612630324069e-119;
        bool r21574 = r21572 <= r21573;
        double r21575 = 2;
        double r21576 = r21575 * r21569;
        double r21577 = r21576 * r21571;
        double r21578 = t;
        double r21579 = l;
        double r21580 = Om;
        double r21581 = r21580 / r21579;
        double r21582 = r21579 / r21581;
        double r21583 = r21575 * r21582;
        double r21584 = r21578 - r21583;
        double r21585 = r21579 / r21580;
        double r21586 = pow(r21585, r21575);
        double r21587 = r21569 * r21586;
        double r21588 = U_;
        double r21589 = r21571 - r21588;
        double r21590 = r21587 * r21589;
        double r21591 = r21584 - r21590;
        double r21592 = r21577 * r21591;
        double r21593 = sqrt(r21592);
        double r21594 = sqrt(r21593);
        double r21595 = r21594 * r21594;
        double r21596 = 1.5263147023119e-312;
        bool r21597 = r21572 <= r21596;
        double r21598 = cbrt(r21585);
        double r21599 = r21569 * r21579;
        double r21600 = r21599 / r21580;
        double r21601 = r21598 * r21600;
        double r21602 = pow(r21598, r21575);
        double r21603 = r21601 * r21602;
        double r21604 = r21603 * r21589;
        double r21605 = r21584 - r21604;
        double r21606 = r21571 * r21605;
        double r21607 = r21576 * r21606;
        double r21608 = sqrt(r21607);
        double r21609 = sqrt(r21577);
        double r21610 = sqrt(r21591);
        double r21611 = r21609 * r21610;
        double r21612 = r21597 ? r21608 : r21611;
        double r21613 = r21574 ? r21595 : 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, r21673, r21674, r21675, r21676, r21677, r21678, r21679;

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, "-2.669612630324069e-119", 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_set_str(r21662, "1.5263147023119e-312", 10, MPFR_RNDN);
        mpfr_init(r21663);
        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);
        mpfr_init(r21673);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init(r21677);
        mpfr_init(r21678);
        mpfr_init(r21679);
}

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_sqrt(r21660, r21659, MPFR_RNDN);
        mpfr_mul(r21661, r21660, r21660, MPFR_RNDN);
        ;
        mpfr_set_si(r21663, mpfr_cmp(r21638, r21662) <= 0, MPFR_RNDN);
        mpfr_cbrt(r21664, r21651, MPFR_RNDN);
        mpfr_mul(r21665, r21635, r21645, MPFR_RNDN);
        mpfr_div(r21666, r21665, r21646, MPFR_RNDN);
        mpfr_mul(r21667, r21664, r21666, MPFR_RNDN);
        mpfr_pow(r21668, r21664, r21641, MPFR_RNDN);
        mpfr_mul(r21669, r21667, r21668, MPFR_RNDN);
        mpfr_mul(r21670, r21669, r21655, MPFR_RNDN);
        mpfr_sub(r21671, r21650, r21670, MPFR_RNDN);
        mpfr_mul(r21672, r21637, r21671, MPFR_RNDN);
        mpfr_mul(r21673, r21642, r21672, MPFR_RNDN);
        mpfr_sqrt(r21674, r21673, MPFR_RNDN);
        mpfr_sqrt(r21675, r21643, MPFR_RNDN);
        mpfr_sqrt(r21676, r21657, MPFR_RNDN);
        mpfr_mul(r21677, r21675, r21676, MPFR_RNDN);
        if (mpfr_get_si(r21663, MPFR_RNDN)) { mpfr_set(r21678, r21674, MPFR_RNDN); } else { mpfr_set(r21678, r21677, MPFR_RNDN); };
        if (mpfr_get_si(r21640, MPFR_RNDN)) { mpfr_set(r21679, r21661, MPFR_RNDN); } else { mpfr_set(r21679, r21678, MPFR_RNDN); };
        return mpfr_get_d(r21679, MPFR_RNDN);
}

static mpfr_t 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, r21711, r21712, r21713, r21714, r21715, r21716, r21717, r21718, r21719, r21720, r21721, r21722, r21723, r21724;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21680);
        mpfr_init(r21681);
        mpfr_init(r21682);
        mpfr_init(r21683);
        mpfr_init_set_str(r21684, "-2.669612630324069e-119", 10, MPFR_RNDN);
        mpfr_init(r21685);
        mpfr_init_set_str(r21686, "2", 10, MPFR_RNDN);
        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(r21701);
        mpfr_init(r21702);
        mpfr_init(r21703);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init(r21706);
        mpfr_init_set_str(r21707, "1.5263147023119e-312", 10, MPFR_RNDN);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
        mpfr_init(r21711);
        mpfr_init(r21712);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
        mpfr_init(r21717);
        mpfr_init(r21718);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init(r21724);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21680, n, MPFR_RNDN);
        mpfr_add(r21681, r21680, r21680, MPFR_RNDN);
        mpfr_set_d(r21682, U, MPFR_RNDN);
        mpfr_mul(r21683, r21681, r21682, MPFR_RNDN);
        ;
        mpfr_set_si(r21685, mpfr_cmp(r21683, r21684) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21687, r21686, r21680, MPFR_RNDN);
        mpfr_mul(r21688, r21687, r21682, MPFR_RNDN);
        mpfr_set_d(r21689, t, MPFR_RNDN);
        mpfr_set_d(r21690, l, MPFR_RNDN);
        mpfr_set_d(r21691, Om, MPFR_RNDN);
        mpfr_div(r21692, r21691, r21690, MPFR_RNDN);
        mpfr_div(r21693, r21690, r21692, MPFR_RNDN);
        mpfr_mul(r21694, r21686, r21693, MPFR_RNDN);
        mpfr_sub(r21695, r21689, r21694, MPFR_RNDN);
        mpfr_div(r21696, r21690, r21691, MPFR_RNDN);
        mpfr_pow(r21697, r21696, r21686, MPFR_RNDN);
        mpfr_mul(r21698, r21680, r21697, MPFR_RNDN);
        mpfr_set_d(r21699, U_, MPFR_RNDN);
        mpfr_sub(r21700, r21682, r21699, MPFR_RNDN);
        mpfr_mul(r21701, r21698, r21700, MPFR_RNDN);
        mpfr_sub(r21702, r21695, r21701, MPFR_RNDN);
        mpfr_mul(r21703, r21688, r21702, MPFR_RNDN);
        mpfr_sqrt(r21704, r21703, MPFR_RNDN);
        mpfr_sqrt(r21705, r21704, MPFR_RNDN);
        mpfr_mul(r21706, r21705, r21705, MPFR_RNDN);
        ;
        mpfr_set_si(r21708, mpfr_cmp(r21683, r21707) <= 0, MPFR_RNDN);
        mpfr_cbrt(r21709, r21696, MPFR_RNDN);
        mpfr_mul(r21710, r21680, r21690, MPFR_RNDN);
        mpfr_div(r21711, r21710, r21691, MPFR_RNDN);
        mpfr_mul(r21712, r21709, r21711, MPFR_RNDN);
        mpfr_pow(r21713, r21709, r21686, MPFR_RNDN);
        mpfr_mul(r21714, r21712, r21713, MPFR_RNDN);
        mpfr_mul(r21715, r21714, r21700, MPFR_RNDN);
        mpfr_sub(r21716, r21695, r21715, MPFR_RNDN);
        mpfr_mul(r21717, r21682, r21716, MPFR_RNDN);
        mpfr_mul(r21718, r21687, r21717, MPFR_RNDN);
        mpfr_sqrt(r21719, r21718, MPFR_RNDN);
        mpfr_sqrt(r21720, r21688, MPFR_RNDN);
        mpfr_sqrt(r21721, r21702, MPFR_RNDN);
        mpfr_mul(r21722, r21720, r21721, MPFR_RNDN);
        if (mpfr_get_si(r21708, MPFR_RNDN)) { mpfr_set(r21723, r21719, MPFR_RNDN); } else { mpfr_set(r21723, r21722, MPFR_RNDN); };
        if (mpfr_get_si(r21685, MPFR_RNDN)) { mpfr_set(r21724, r21706, MPFR_RNDN); } else { mpfr_set(r21724, r21723, MPFR_RNDN); };
        return mpfr_get_d(r21724, MPFR_RNDN);
}