#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 r22414 = 2;
        float r22415 = n;
        float r22416 = r22414 * r22415;
        float r22417 = U;
        float r22418 = r22416 * r22417;
        float r22419 = t;
        float r22420 = l;
        float r22421 = r22420 * r22420;
        float r22422 = Om;
        float r22423 = r22421 / r22422;
        float r22424 = r22414 * r22423;
        float r22425 = r22419 - r22424;
        float r22426 = r22420 / r22422;
        float r22427 = pow(r22426, r22414);
        float r22428 = r22415 * r22427;
        float r22429 = U_;
        float r22430 = r22417 - r22429;
        float r22431 = r22428 * r22430;
        float r22432 = r22425 - r22431;
        float r22433 = r22418 * r22432;
        float r22434 = sqrt(r22433);
        return r22434;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22435 = 2;
        double r22436 = n;
        double r22437 = r22435 * r22436;
        double r22438 = U;
        double r22439 = r22437 * r22438;
        double r22440 = t;
        double r22441 = l;
        double r22442 = r22441 * r22441;
        double r22443 = Om;
        double r22444 = r22442 / r22443;
        double r22445 = r22435 * r22444;
        double r22446 = r22440 - r22445;
        double r22447 = r22441 / r22443;
        double r22448 = pow(r22447, r22435);
        double r22449 = r22436 * r22448;
        double r22450 = U_;
        double r22451 = r22438 - r22450;
        double r22452 = r22449 * r22451;
        double r22453 = r22446 - r22452;
        double r22454 = r22439 * r22453;
        double r22455 = sqrt(r22454);
        return r22455;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22456 = n;
        float r22457 = 2;
        float r22458 = r22456 * r22457;
        float r22459 = U;
        float r22460 = r22458 * r22459;
        float r22461 = -5.4258882105061e-318;
        bool r22462 = r22460 <= r22461;
        float r22463 = r22457 * r22456;
        float r22464 = r22463 * r22459;
        float r22465 = t;
        float r22466 = l;
        float r22467 = Om;
        float r22468 = r22467 / r22466;
        float r22469 = r22466 / r22468;
        float r22470 = r22457 * r22469;
        float r22471 = r22465 - r22470;
        float r22472 = r22466 / r22467;
        float r22473 = pow(r22472, r22457);
        float r22474 = r22456 * r22473;
        float r22475 = U_;
        float r22476 = r22459 - r22475;
        float r22477 = r22474 * r22476;
        float r22478 = r22471 - r22477;
        float r22479 = r22464 * r22478;
        float r22480 = sqrt(r22479);
        float r22481 = 8.883458468783394e-109;
        bool r22482 = r22460 <= r22481;
        float r22483 = r22459 * r22478;
        float r22484 = r22463 * r22483;
        float r22485 = sqrt(r22484);
        float r22486 = sqrt(r22464);
        float r22487 = r22466 * r22466;
        float r22488 = r22487 / r22467;
        float r22489 = r22457 * r22488;
        float r22490 = r22465 - r22489;
        float r22491 = r22490 - r22477;
        float r22492 = sqrt(r22491);
        float r22493 = r22486 * r22492;
        float r22494 = r22482 ? r22485 : r22493;
        float r22495 = r22462 ? r22480 : r22494;
        return r22495;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22496 = n;
        double r22497 = 2;
        double r22498 = r22496 * r22497;
        double r22499 = U;
        double r22500 = r22498 * r22499;
        double r22501 = -5.4258882105061e-318;
        bool r22502 = r22500 <= r22501;
        double r22503 = r22497 * r22496;
        double r22504 = r22503 * r22499;
        double r22505 = t;
        double r22506 = l;
        double r22507 = Om;
        double r22508 = r22507 / r22506;
        double r22509 = r22506 / r22508;
        double r22510 = r22497 * r22509;
        double r22511 = r22505 - r22510;
        double r22512 = r22506 / r22507;
        double r22513 = pow(r22512, r22497);
        double r22514 = r22496 * r22513;
        double r22515 = U_;
        double r22516 = r22499 - r22515;
        double r22517 = r22514 * r22516;
        double r22518 = r22511 - r22517;
        double r22519 = r22504 * r22518;
        double r22520 = sqrt(r22519);
        double r22521 = 8.883458468783394e-109;
        bool r22522 = r22500 <= r22521;
        double r22523 = r22499 * r22518;
        double r22524 = r22503 * r22523;
        double r22525 = sqrt(r22524);
        double r22526 = sqrt(r22504);
        double r22527 = r22506 * r22506;
        double r22528 = r22527 / r22507;
        double r22529 = r22497 * r22528;
        double r22530 = r22505 - r22529;
        double r22531 = r22530 - r22517;
        double r22532 = sqrt(r22531);
        double r22533 = r22526 * r22532;
        double r22534 = r22522 ? r22525 : r22533;
        double r22535 = r22502 ? r22520 : r22534;
        return r22535;
}

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 r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553, r22554, r22555, r22556;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22536, "2", 10, MPFR_RNDN);
        mpfr_init(r22537);
        mpfr_init(r22538);
        mpfr_init(r22539);
        mpfr_init(r22540);
        mpfr_init(r22541);
        mpfr_init(r22542);
        mpfr_init(r22543);
        mpfr_init(r22544);
        mpfr_init(r22545);
        mpfr_init(r22546);
        mpfr_init(r22547);
        mpfr_init(r22548);
        mpfr_init(r22549);
        mpfr_init(r22550);
        mpfr_init(r22551);
        mpfr_init(r22552);
        mpfr_init(r22553);
        mpfr_init(r22554);
        mpfr_init(r22555);
        mpfr_init(r22556);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22537, n, MPFR_RNDN);
        mpfr_mul(r22538, r22536, r22537, MPFR_RNDN);
        mpfr_set_d(r22539, U, MPFR_RNDN);
        mpfr_mul(r22540, r22538, r22539, MPFR_RNDN);
        mpfr_set_d(r22541, t, MPFR_RNDN);
        mpfr_set_d(r22542, l, MPFR_RNDN);
        mpfr_mul(r22543, r22542, r22542, MPFR_RNDN);
        mpfr_set_d(r22544, Om, MPFR_RNDN);
        mpfr_div(r22545, r22543, r22544, MPFR_RNDN);
        mpfr_mul(r22546, r22536, r22545, MPFR_RNDN);
        mpfr_sub(r22547, r22541, r22546, MPFR_RNDN);
        mpfr_div(r22548, r22542, r22544, MPFR_RNDN);
        mpfr_pow(r22549, r22548, r22536, MPFR_RNDN);
        mpfr_mul(r22550, r22537, r22549, MPFR_RNDN);
        mpfr_set_d(r22551, U_, MPFR_RNDN);
        mpfr_sub(r22552, r22539, r22551, MPFR_RNDN);
        mpfr_mul(r22553, r22550, r22552, MPFR_RNDN);
        mpfr_sub(r22554, r22547, r22553, MPFR_RNDN);
        mpfr_mul(r22555, r22540, r22554, MPFR_RNDN);
        mpfr_sqrt(r22556, r22555, MPFR_RNDN);
        return mpfr_get_d(r22556, MPFR_RNDN);
}

static mpfr_t r22557, r22558, r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581, r22582, r22583, r22584, r22585, r22586, r22587, r22588, r22589, r22590, r22591, r22592, r22593, r22594, r22595, r22596;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22557);
        mpfr_init_set_str(r22558, "2", 10, MPFR_RNDN);
        mpfr_init(r22559);
        mpfr_init(r22560);
        mpfr_init(r22561);
        mpfr_init_set_str(r22562, "-5.4258882105061e-318", 10, MPFR_RNDN);
        mpfr_init(r22563);
        mpfr_init(r22564);
        mpfr_init(r22565);
        mpfr_init(r22566);
        mpfr_init(r22567);
        mpfr_init(r22568);
        mpfr_init(r22569);
        mpfr_init(r22570);
        mpfr_init(r22571);
        mpfr_init(r22572);
        mpfr_init(r22573);
        mpfr_init(r22574);
        mpfr_init(r22575);
        mpfr_init(r22576);
        mpfr_init(r22577);
        mpfr_init(r22578);
        mpfr_init(r22579);
        mpfr_init(r22580);
        mpfr_init(r22581);
        mpfr_init_set_str(r22582, "8.883458468783394e-109", 10, MPFR_RNDN);
        mpfr_init(r22583);
        mpfr_init(r22584);
        mpfr_init(r22585);
        mpfr_init(r22586);
        mpfr_init(r22587);
        mpfr_init(r22588);
        mpfr_init(r22589);
        mpfr_init(r22590);
        mpfr_init(r22591);
        mpfr_init(r22592);
        mpfr_init(r22593);
        mpfr_init(r22594);
        mpfr_init(r22595);
        mpfr_init(r22596);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22557, n, MPFR_RNDN);
        ;
        mpfr_mul(r22559, r22557, r22558, MPFR_RNDN);
        mpfr_set_d(r22560, U, MPFR_RNDN);
        mpfr_mul(r22561, r22559, r22560, MPFR_RNDN);
        ;
        mpfr_set_si(r22563, mpfr_cmp(r22561, r22562) <= 0, MPFR_RNDN);
        mpfr_mul(r22564, r22558, r22557, MPFR_RNDN);
        mpfr_mul(r22565, r22564, r22560, MPFR_RNDN);
        mpfr_set_d(r22566, t, MPFR_RNDN);
        mpfr_set_d(r22567, l, MPFR_RNDN);
        mpfr_set_d(r22568, Om, MPFR_RNDN);
        mpfr_div(r22569, r22568, r22567, MPFR_RNDN);
        mpfr_div(r22570, r22567, r22569, MPFR_RNDN);
        mpfr_mul(r22571, r22558, r22570, MPFR_RNDN);
        mpfr_sub(r22572, r22566, r22571, MPFR_RNDN);
        mpfr_div(r22573, r22567, r22568, MPFR_RNDN);
        mpfr_pow(r22574, r22573, r22558, MPFR_RNDN);
        mpfr_mul(r22575, r22557, r22574, MPFR_RNDN);
        mpfr_set_d(r22576, U_, MPFR_RNDN);
        mpfr_sub(r22577, r22560, r22576, MPFR_RNDN);
        mpfr_mul(r22578, r22575, r22577, MPFR_RNDN);
        mpfr_sub(r22579, r22572, r22578, MPFR_RNDN);
        mpfr_mul(r22580, r22565, r22579, MPFR_RNDN);
        mpfr_sqrt(r22581, r22580, MPFR_RNDN);
        ;
        mpfr_set_si(r22583, mpfr_cmp(r22561, r22582) <= 0, MPFR_RNDN);
        mpfr_mul(r22584, r22560, r22579, MPFR_RNDN);
        mpfr_mul(r22585, r22564, r22584, MPFR_RNDN);
        mpfr_sqrt(r22586, r22585, MPFR_RNDN);
        mpfr_sqrt(r22587, r22565, MPFR_RNDN);
        mpfr_mul(r22588, r22567, r22567, MPFR_RNDN);
        mpfr_div(r22589, r22588, r22568, MPFR_RNDN);
        mpfr_mul(r22590, r22558, r22589, MPFR_RNDN);
        mpfr_sub(r22591, r22566, r22590, MPFR_RNDN);
        mpfr_sub(r22592, r22591, r22578, MPFR_RNDN);
        mpfr_sqrt(r22593, r22592, MPFR_RNDN);
        mpfr_mul(r22594, r22587, r22593, MPFR_RNDN);
        if (mpfr_get_si(r22583, MPFR_RNDN)) { mpfr_set(r22595, r22586, MPFR_RNDN); } else { mpfr_set(r22595, r22594, MPFR_RNDN); };
        if (mpfr_get_si(r22563, MPFR_RNDN)) { mpfr_set(r22596, r22581, MPFR_RNDN); } else { mpfr_set(r22596, r22595, MPFR_RNDN); };
        return mpfr_get_d(r22596, MPFR_RNDN);
}

static mpfr_t r22597, r22598, r22599, r22600, r22601, r22602, r22603, r22604, r22605, r22606, r22607, r22608, r22609, r22610, r22611, r22612, r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22597);
        mpfr_init_set_str(r22598, "2", 10, MPFR_RNDN);
        mpfr_init(r22599);
        mpfr_init(r22600);
        mpfr_init(r22601);
        mpfr_init_set_str(r22602, "-5.4258882105061e-318", 10, MPFR_RNDN);
        mpfr_init(r22603);
        mpfr_init(r22604);
        mpfr_init(r22605);
        mpfr_init(r22606);
        mpfr_init(r22607);
        mpfr_init(r22608);
        mpfr_init(r22609);
        mpfr_init(r22610);
        mpfr_init(r22611);
        mpfr_init(r22612);
        mpfr_init(r22613);
        mpfr_init(r22614);
        mpfr_init(r22615);
        mpfr_init(r22616);
        mpfr_init(r22617);
        mpfr_init(r22618);
        mpfr_init(r22619);
        mpfr_init(r22620);
        mpfr_init(r22621);
        mpfr_init_set_str(r22622, "8.883458468783394e-109", 10, MPFR_RNDN);
        mpfr_init(r22623);
        mpfr_init(r22624);
        mpfr_init(r22625);
        mpfr_init(r22626);
        mpfr_init(r22627);
        mpfr_init(r22628);
        mpfr_init(r22629);
        mpfr_init(r22630);
        mpfr_init(r22631);
        mpfr_init(r22632);
        mpfr_init(r22633);
        mpfr_init(r22634);
        mpfr_init(r22635);
        mpfr_init(r22636);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22597, n, MPFR_RNDN);
        ;
        mpfr_mul(r22599, r22597, r22598, MPFR_RNDN);
        mpfr_set_d(r22600, U, MPFR_RNDN);
        mpfr_mul(r22601, r22599, r22600, MPFR_RNDN);
        ;
        mpfr_set_si(r22603, mpfr_cmp(r22601, r22602) <= 0, MPFR_RNDN);
        mpfr_mul(r22604, r22598, r22597, MPFR_RNDN);
        mpfr_mul(r22605, r22604, r22600, MPFR_RNDN);
        mpfr_set_d(r22606, t, MPFR_RNDN);
        mpfr_set_d(r22607, l, MPFR_RNDN);
        mpfr_set_d(r22608, Om, MPFR_RNDN);
        mpfr_div(r22609, r22608, r22607, MPFR_RNDN);
        mpfr_div(r22610, r22607, r22609, MPFR_RNDN);
        mpfr_mul(r22611, r22598, r22610, MPFR_RNDN);
        mpfr_sub(r22612, r22606, r22611, MPFR_RNDN);
        mpfr_div(r22613, r22607, r22608, MPFR_RNDN);
        mpfr_pow(r22614, r22613, r22598, MPFR_RNDN);
        mpfr_mul(r22615, r22597, r22614, MPFR_RNDN);
        mpfr_set_d(r22616, U_, MPFR_RNDN);
        mpfr_sub(r22617, r22600, r22616, MPFR_RNDN);
        mpfr_mul(r22618, r22615, r22617, MPFR_RNDN);
        mpfr_sub(r22619, r22612, r22618, MPFR_RNDN);
        mpfr_mul(r22620, r22605, r22619, MPFR_RNDN);
        mpfr_sqrt(r22621, r22620, MPFR_RNDN);
        ;
        mpfr_set_si(r22623, mpfr_cmp(r22601, r22622) <= 0, MPFR_RNDN);
        mpfr_mul(r22624, r22600, r22619, MPFR_RNDN);
        mpfr_mul(r22625, r22604, r22624, MPFR_RNDN);
        mpfr_sqrt(r22626, r22625, MPFR_RNDN);
        mpfr_sqrt(r22627, r22605, MPFR_RNDN);
        mpfr_mul(r22628, r22607, r22607, MPFR_RNDN);
        mpfr_div(r22629, r22628, r22608, MPFR_RNDN);
        mpfr_mul(r22630, r22598, r22629, MPFR_RNDN);
        mpfr_sub(r22631, r22606, r22630, MPFR_RNDN);
        mpfr_sub(r22632, r22631, r22618, MPFR_RNDN);
        mpfr_sqrt(r22633, r22632, MPFR_RNDN);
        mpfr_mul(r22634, r22627, r22633, MPFR_RNDN);
        if (mpfr_get_si(r22623, MPFR_RNDN)) { mpfr_set(r22635, r22626, MPFR_RNDN); } else { mpfr_set(r22635, r22634, MPFR_RNDN); };
        if (mpfr_get_si(r22603, MPFR_RNDN)) { mpfr_set(r22636, r22621, MPFR_RNDN); } else { mpfr_set(r22636, r22635, MPFR_RNDN); };
        return mpfr_get_d(r22636, MPFR_RNDN);
}