#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "VandenBroeck and Keller, Equation (6)";

double f_if(float F, float l) {
        float r21471 = atan2(1.0, 0.0);
        float r21472 = l;
        float r21473 = r21471 * r21472;
        float r21474 = 1;
        float r21475 = F;
        float r21476 = r21475 * r21475;
        float r21477 = r21474 / r21476;
        float r21478 = tan(r21473);
        float r21479 = r21477 * r21478;
        float r21480 = r21473 - r21479;
        return r21480;
}

double f_id(double F, double l) {
        double r21481 = atan2(1.0, 0.0);
        double r21482 = l;
        double r21483 = r21481 * r21482;
        double r21484 = 1;
        double r21485 = F;
        double r21486 = r21485 * r21485;
        double r21487 = r21484 / r21486;
        double r21488 = tan(r21483);
        double r21489 = r21487 * r21488;
        double r21490 = r21483 - r21489;
        return r21490;
}


double f_of(float F, float l) {
        float r21491 = atan2(1.0, 0.0);
        float r21492 = l;
        float r21493 = r21491 * r21492;
        float r21494 = sqrt(r21493);
        float r21495 = r21494 * r21494;
        float r21496 = 1;
        float r21497 = F;
        float r21498 = r21497 * r21497;
        float r21499 = r21496 / r21498;
        float r21500 = tan(r21493);
        float r21501 = r21499 * r21500;
        float r21502 = r21495 - r21501;
        float r21503 = -inf.0;
        bool r21504 = r21502 <= r21503;
        float r21505 = r21492 * r21491;
        float r21506 = tan(r21505);
        float r21507 = cbrt(r21506);
        float r21508 = r21507 / r21497;
        float r21509 = -r21508;
        float r21510 = 1/3;
        float r21511 = pow(r21492, r21510);
        float r21512 = pow(r21491, r21510);
        float r21513 = r21511 * r21512;
        float r21514 = r21505 * r21492;
        float r21515 = 1/9;
        float r21516 = r21491 * r21515;
        float r21517 = r21514 * r21516;
        float r21518 = 13/405;
        float r21519 = 4;
        float r21520 = pow(r21491, r21519);
        float r21521 = pow(r21492, r21519);
        float r21522 = r21520 * r21521;
        float r21523 = r21518 * r21522;
        float r21524 = r21517 + r21523;
        float r21525 = r21513 * r21524;
        float r21526 = r21513 * r21508;
        float r21527 = fma(r21508, r21525, r21526);
        float r21528 = fma(r21509, r21527, r21505);
        float r21529 = 1.443050228694697e+163;
        bool r21530 = r21502 <= r21529;
        float r21531 = log1p(r21493);
        float r21532 = expm1(r21531);
        float r21533 = tan(r21532);
        float r21534 = r21499 * r21533;
        float r21535 = r21493 - r21534;
        float r21536 = r21508 * r21508;
        float r21537 = cbrt(r21500);
        float r21538 = r21536 * r21537;
        float r21539 = r21493 - r21538;
        float r21540 = r21530 ? r21535 : r21539;
        float r21541 = r21504 ? r21528 : r21540;
        return r21541;
}

double f_od(double F, double l) {
        double r21542 = atan2(1.0, 0.0);
        double r21543 = l;
        double r21544 = r21542 * r21543;
        double r21545 = sqrt(r21544);
        double r21546 = r21545 * r21545;
        double r21547 = 1;
        double r21548 = F;
        double r21549 = r21548 * r21548;
        double r21550 = r21547 / r21549;
        double r21551 = tan(r21544);
        double r21552 = r21550 * r21551;
        double r21553 = r21546 - r21552;
        double r21554 = -inf.0;
        bool r21555 = r21553 <= r21554;
        double r21556 = r21543 * r21542;
        double r21557 = tan(r21556);
        double r21558 = cbrt(r21557);
        double r21559 = r21558 / r21548;
        double r21560 = -r21559;
        double r21561 = 1/3;
        double r21562 = pow(r21543, r21561);
        double r21563 = pow(r21542, r21561);
        double r21564 = r21562 * r21563;
        double r21565 = r21556 * r21543;
        double r21566 = 1/9;
        double r21567 = r21542 * r21566;
        double r21568 = r21565 * r21567;
        double r21569 = 13/405;
        double r21570 = 4;
        double r21571 = pow(r21542, r21570);
        double r21572 = pow(r21543, r21570);
        double r21573 = r21571 * r21572;
        double r21574 = r21569 * r21573;
        double r21575 = r21568 + r21574;
        double r21576 = r21564 * r21575;
        double r21577 = r21564 * r21559;
        double r21578 = fma(r21559, r21576, r21577);
        double r21579 = fma(r21560, r21578, r21556);
        double r21580 = 1.443050228694697e+163;
        bool r21581 = r21553 <= r21580;
        double r21582 = log1p(r21544);
        double r21583 = expm1(r21582);
        double r21584 = tan(r21583);
        double r21585 = r21550 * r21584;
        double r21586 = r21544 - r21585;
        double r21587 = r21559 * r21559;
        double r21588 = cbrt(r21551);
        double r21589 = r21587 * r21588;
        double r21590 = r21544 - r21589;
        double r21591 = r21581 ? r21586 : r21590;
        double r21592 = r21555 ? r21579 : r21591;
        return r21592;
}

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 r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21593);
        mpfr_init(r21594);
        mpfr_init(r21595);
        mpfr_init_set_str(r21596, "1", 10, MPFR_RNDN);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init(r21599);
        mpfr_init(r21600);
        mpfr_init(r21601);
        mpfr_init(r21602);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21593, MPFR_RNDN);
        mpfr_set_d(r21594, l, MPFR_RNDN);
        mpfr_mul(r21595, r21593, r21594, MPFR_RNDN);
        ;
        mpfr_set_d(r21597, F, MPFR_RNDN);
        mpfr_mul(r21598, r21597, r21597, MPFR_RNDN);
        mpfr_div(r21599, r21596, r21598, MPFR_RNDN);
        mpfr_tan(r21600, r21595, MPFR_RNDN);
        mpfr_mul(r21601, r21599, r21600, MPFR_RNDN);
        mpfr_sub(r21602, r21595, r21601, MPFR_RNDN);
        return mpfr_get_d(r21602, MPFR_RNDN);
}

static mpfr_t r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21603);
        mpfr_init(r21604);
        mpfr_init(r21605);
        mpfr_init(r21606);
        mpfr_init(r21607);
        mpfr_init_set_str(r21608, "1", 10, MPFR_RNDN);
        mpfr_init(r21609);
        mpfr_init(r21610);
        mpfr_init(r21611);
        mpfr_init(r21612);
        mpfr_init(r21613);
        mpfr_init(r21614);
        mpfr_init_set_str(r21615, "-inf.0", 10, MPFR_RNDN);
        mpfr_init(r21616);
        mpfr_init(r21617);
        mpfr_init(r21618);
        mpfr_init(r21619);
        mpfr_init(r21620);
        mpfr_init(r21621);
        mpfr_init_set_str(r21622, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init(r21625);
        mpfr_init(r21626);
        mpfr_init_set_str(r21627, "1/9", 10, MPFR_RNDN);
        mpfr_init(r21628);
        mpfr_init(r21629);
        mpfr_init_set_str(r21630, "13/405", 10, MPFR_RNDN);
        mpfr_init_set_str(r21631, "4", 10, MPFR_RNDN);
        mpfr_init(r21632);
        mpfr_init(r21633);
        mpfr_init(r21634);
        mpfr_init(r21635);
        mpfr_init(r21636);
        mpfr_init(r21637);
        mpfr_init(r21638);
        mpfr_init(r21639);
        mpfr_init(r21640);
        mpfr_init_set_str(r21641, "1.443050228694697e+163", 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);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21603, MPFR_RNDN);
        mpfr_set_d(r21604, l, MPFR_RNDN);
        mpfr_mul(r21605, r21603, r21604, MPFR_RNDN);
        mpfr_sqrt(r21606, r21605, MPFR_RNDN);
        mpfr_mul(r21607, r21606, r21606, MPFR_RNDN);
        ;
        mpfr_set_d(r21609, F, MPFR_RNDN);
        mpfr_mul(r21610, r21609, r21609, MPFR_RNDN);
        mpfr_div(r21611, r21608, r21610, MPFR_RNDN);
        mpfr_tan(r21612, r21605, MPFR_RNDN);
        mpfr_mul(r21613, r21611, r21612, MPFR_RNDN);
        mpfr_sub(r21614, r21607, r21613, MPFR_RNDN);
        ;
        mpfr_set_si(r21616, mpfr_cmp(r21614, r21615) <= 0, MPFR_RNDN);
        mpfr_mul(r21617, r21604, r21603, MPFR_RNDN);
        mpfr_tan(r21618, r21617, MPFR_RNDN);
        mpfr_cbrt(r21619, r21618, MPFR_RNDN);
        mpfr_div(r21620, r21619, r21609, MPFR_RNDN);
        mpfr_neg(r21621, r21620, MPFR_RNDN);
        ;
        mpfr_pow(r21623, r21604, r21622, MPFR_RNDN);
        mpfr_pow(r21624, r21603, r21622, MPFR_RNDN);
        mpfr_mul(r21625, r21623, r21624, MPFR_RNDN);
        mpfr_mul(r21626, r21617, r21604, MPFR_RNDN);
        ;
        mpfr_mul(r21628, r21603, r21627, MPFR_RNDN);
        mpfr_mul(r21629, r21626, r21628, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21632, r21603, r21631, MPFR_RNDN);
        mpfr_pow(r21633, r21604, r21631, MPFR_RNDN);
        mpfr_mul(r21634, r21632, r21633, MPFR_RNDN);
        mpfr_mul(r21635, r21630, r21634, MPFR_RNDN);
        mpfr_add(r21636, r21629, r21635, MPFR_RNDN);
        mpfr_mul(r21637, r21625, r21636, MPFR_RNDN);
        mpfr_mul(r21638, r21625, r21620, MPFR_RNDN);
        mpfr_fma(r21639, r21620, r21637, r21638, MPFR_RNDN);
        mpfr_fma(r21640, r21621, r21639, r21617, MPFR_RNDN);
        ;
        mpfr_set_si(r21642, mpfr_cmp(r21614, r21641) <= 0, MPFR_RNDN);
        mpfr_log1p(r21643, r21605, MPFR_RNDN);
        mpfr_expm1(r21644, r21643, MPFR_RNDN);
        mpfr_tan(r21645, r21644, MPFR_RNDN);
        mpfr_mul(r21646, r21611, r21645, MPFR_RNDN);
        mpfr_sub(r21647, r21605, r21646, MPFR_RNDN);
        mpfr_mul(r21648, r21620, r21620, MPFR_RNDN);
        mpfr_cbrt(r21649, r21612, MPFR_RNDN);
        mpfr_mul(r21650, r21648, r21649, MPFR_RNDN);
        mpfr_sub(r21651, r21605, r21650, MPFR_RNDN);
        if (mpfr_get_si(r21642, MPFR_RNDN)) { mpfr_set(r21652, r21647, MPFR_RNDN); } else { mpfr_set(r21652, r21651, MPFR_RNDN); };
        if (mpfr_get_si(r21616, MPFR_RNDN)) { mpfr_set(r21653, r21640, MPFR_RNDN); } else { mpfr_set(r21653, r21652, MPFR_RNDN); };
        return mpfr_get_d(r21653, MPFR_RNDN);
}

static mpfr_t 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, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21654);
        mpfr_init(r21655);
        mpfr_init(r21656);
        mpfr_init(r21657);
        mpfr_init(r21658);
        mpfr_init_set_str(r21659, "1", 10, MPFR_RNDN);
        mpfr_init(r21660);
        mpfr_init(r21661);
        mpfr_init(r21662);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init_set_str(r21666, "-inf.0", 10, MPFR_RNDN);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
        mpfr_init_set_str(r21673, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init(r21677);
        mpfr_init_set_str(r21678, "1/9", 10, MPFR_RNDN);
        mpfr_init(r21679);
        mpfr_init(r21680);
        mpfr_init_set_str(r21681, "13/405", 10, MPFR_RNDN);
        mpfr_init_set_str(r21682, "4", 10, MPFR_RNDN);
        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_set_str(r21692, "1.443050228694697e+163", 10, MPFR_RNDN);
        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);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21654, MPFR_RNDN);
        mpfr_set_d(r21655, l, MPFR_RNDN);
        mpfr_mul(r21656, r21654, r21655, MPFR_RNDN);
        mpfr_sqrt(r21657, r21656, MPFR_RNDN);
        mpfr_mul(r21658, r21657, r21657, MPFR_RNDN);
        ;
        mpfr_set_d(r21660, F, MPFR_RNDN);
        mpfr_mul(r21661, r21660, r21660, MPFR_RNDN);
        mpfr_div(r21662, r21659, r21661, MPFR_RNDN);
        mpfr_tan(r21663, r21656, MPFR_RNDN);
        mpfr_mul(r21664, r21662, r21663, MPFR_RNDN);
        mpfr_sub(r21665, r21658, r21664, MPFR_RNDN);
        ;
        mpfr_set_si(r21667, mpfr_cmp(r21665, r21666) <= 0, MPFR_RNDN);
        mpfr_mul(r21668, r21655, r21654, MPFR_RNDN);
        mpfr_tan(r21669, r21668, MPFR_RNDN);
        mpfr_cbrt(r21670, r21669, MPFR_RNDN);
        mpfr_div(r21671, r21670, r21660, MPFR_RNDN);
        mpfr_neg(r21672, r21671, MPFR_RNDN);
        ;
        mpfr_pow(r21674, r21655, r21673, MPFR_RNDN);
        mpfr_pow(r21675, r21654, r21673, MPFR_RNDN);
        mpfr_mul(r21676, r21674, r21675, MPFR_RNDN);
        mpfr_mul(r21677, r21668, r21655, MPFR_RNDN);
        ;
        mpfr_mul(r21679, r21654, r21678, MPFR_RNDN);
        mpfr_mul(r21680, r21677, r21679, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r21683, r21654, r21682, MPFR_RNDN);
        mpfr_pow(r21684, r21655, r21682, MPFR_RNDN);
        mpfr_mul(r21685, r21683, r21684, MPFR_RNDN);
        mpfr_mul(r21686, r21681, r21685, MPFR_RNDN);
        mpfr_add(r21687, r21680, r21686, MPFR_RNDN);
        mpfr_mul(r21688, r21676, r21687, MPFR_RNDN);
        mpfr_mul(r21689, r21676, r21671, MPFR_RNDN);
        mpfr_fma(r21690, r21671, r21688, r21689, MPFR_RNDN);
        mpfr_fma(r21691, r21672, r21690, r21668, MPFR_RNDN);
        ;
        mpfr_set_si(r21693, mpfr_cmp(r21665, r21692) <= 0, MPFR_RNDN);
        mpfr_log1p(r21694, r21656, MPFR_RNDN);
        mpfr_expm1(r21695, r21694, MPFR_RNDN);
        mpfr_tan(r21696, r21695, MPFR_RNDN);
        mpfr_mul(r21697, r21662, r21696, MPFR_RNDN);
        mpfr_sub(r21698, r21656, r21697, MPFR_RNDN);
        mpfr_mul(r21699, r21671, r21671, MPFR_RNDN);
        mpfr_cbrt(r21700, r21663, MPFR_RNDN);
        mpfr_mul(r21701, r21699, r21700, MPFR_RNDN);
        mpfr_sub(r21702, r21656, r21701, MPFR_RNDN);
        if (mpfr_get_si(r21693, MPFR_RNDN)) { mpfr_set(r21703, r21698, MPFR_RNDN); } else { mpfr_set(r21703, r21702, MPFR_RNDN); };
        if (mpfr_get_si(r21667, MPFR_RNDN)) { mpfr_set(r21704, r21691, MPFR_RNDN); } else { mpfr_set(r21704, r21703, MPFR_RNDN); };
        return mpfr_get_d(r21704, MPFR_RNDN);
}