#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 r22427 = 2;
        float r22428 = n;
        float r22429 = r22427 * r22428;
        float r22430 = U;
        float r22431 = r22429 * r22430;
        float r22432 = t;
        float r22433 = l;
        float r22434 = r22433 * r22433;
        float r22435 = Om;
        float r22436 = r22434 / r22435;
        float r22437 = r22427 * r22436;
        float r22438 = r22432 - r22437;
        float r22439 = r22433 / r22435;
        float r22440 = pow(r22439, r22427);
        float r22441 = r22428 * r22440;
        float r22442 = U_;
        float r22443 = r22430 - r22442;
        float r22444 = r22441 * r22443;
        float r22445 = r22438 - r22444;
        float r22446 = r22431 * r22445;
        float r22447 = sqrt(r22446);
        return r22447;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22448 = 2;
        double r22449 = n;
        double r22450 = r22448 * r22449;
        double r22451 = U;
        double r22452 = r22450 * r22451;
        double r22453 = t;
        double r22454 = l;
        double r22455 = r22454 * r22454;
        double r22456 = Om;
        double r22457 = r22455 / r22456;
        double r22458 = r22448 * r22457;
        double r22459 = r22453 - r22458;
        double r22460 = r22454 / r22456;
        double r22461 = pow(r22460, r22448);
        double r22462 = r22449 * r22461;
        double r22463 = U_;
        double r22464 = r22451 - r22463;
        double r22465 = r22462 * r22464;
        double r22466 = r22459 - r22465;
        double r22467 = r22452 * r22466;
        double r22468 = sqrt(r22467);
        return r22468;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22469 = n;
        float r22470 = U;
        float r22471 = 2;
        float r22472 = r22470 * r22471;
        float r22473 = r22469 * r22472;
        float r22474 = -2.298581009858734e-103;
        bool r22475 = r22473 <= r22474;
        float r22476 = r22471 * r22469;
        float r22477 = r22476 * r22470;
        float r22478 = t;
        float r22479 = l;
        float r22480 = Om;
        float r22481 = r22480 / r22479;
        float r22482 = r22479 / r22481;
        float r22483 = r22471 * r22482;
        float r22484 = r22478 - r22483;
        float r22485 = r22479 / r22480;
        float r22486 = pow(r22485, r22471);
        float r22487 = U_;
        float r22488 = r22470 - r22487;
        float r22489 = r22486 * r22488;
        float r22490 = r22469 * r22489;
        float r22491 = r22484 - r22490;
        float r22492 = r22477 * r22491;
        float r22493 = sqrt(r22492);
        float r22494 = 1.612130599565914e-225;
        bool r22495 = r22473 <= r22494;
        float r22496 = r22480 / r22469;
        float r22497 = r22479 / r22496;
        float r22498 = cbrt(r22485);
        float r22499 = r22497 * r22498;
        float r22500 = pow(r22498, r22471);
        float r22501 = r22499 * r22500;
        float r22502 = r22501 * r22488;
        float r22503 = r22484 - r22502;
        float r22504 = r22470 * r22503;
        float r22505 = r22476 * r22504;
        float r22506 = sqrt(r22505);
        float r22507 = sqrt(r22477);
        float r22508 = r22469 * r22486;
        float r22509 = r22508 * r22488;
        float r22510 = r22484 - r22509;
        float r22511 = sqrt(r22510);
        float r22512 = r22507 * r22511;
        float r22513 = r22495 ? r22506 : r22512;
        float r22514 = r22475 ? r22493 : r22513;
        return r22514;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22515 = n;
        double r22516 = U;
        double r22517 = 2;
        double r22518 = r22516 * r22517;
        double r22519 = r22515 * r22518;
        double r22520 = -2.298581009858734e-103;
        bool r22521 = r22519 <= r22520;
        double r22522 = r22517 * r22515;
        double r22523 = r22522 * r22516;
        double r22524 = t;
        double r22525 = l;
        double r22526 = Om;
        double r22527 = r22526 / r22525;
        double r22528 = r22525 / r22527;
        double r22529 = r22517 * r22528;
        double r22530 = r22524 - r22529;
        double r22531 = r22525 / r22526;
        double r22532 = pow(r22531, r22517);
        double r22533 = U_;
        double r22534 = r22516 - r22533;
        double r22535 = r22532 * r22534;
        double r22536 = r22515 * r22535;
        double r22537 = r22530 - r22536;
        double r22538 = r22523 * r22537;
        double r22539 = sqrt(r22538);
        double r22540 = 1.612130599565914e-225;
        bool r22541 = r22519 <= r22540;
        double r22542 = r22526 / r22515;
        double r22543 = r22525 / r22542;
        double r22544 = cbrt(r22531);
        double r22545 = r22543 * r22544;
        double r22546 = pow(r22544, r22517);
        double r22547 = r22545 * r22546;
        double r22548 = r22547 * r22534;
        double r22549 = r22530 - r22548;
        double r22550 = r22516 * r22549;
        double r22551 = r22522 * r22550;
        double r22552 = sqrt(r22551);
        double r22553 = sqrt(r22523);
        double r22554 = r22515 * r22532;
        double r22555 = r22554 * r22534;
        double r22556 = r22530 - r22555;
        double r22557 = sqrt(r22556);
        double r22558 = r22553 * r22557;
        double r22559 = r22541 ? r22552 : r22558;
        double r22560 = r22521 ? r22539 : r22559;
        return r22560;
}

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 r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22561, "2", 10, MPFR_RNDN);
        mpfr_init(r22562);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22562, n, MPFR_RNDN);
        mpfr_mul(r22563, r22561, r22562, MPFR_RNDN);
        mpfr_set_d(r22564, U, MPFR_RNDN);
        mpfr_mul(r22565, r22563, r22564, MPFR_RNDN);
        mpfr_set_d(r22566, t, MPFR_RNDN);
        mpfr_set_d(r22567, l, MPFR_RNDN);
        mpfr_mul(r22568, r22567, r22567, MPFR_RNDN);
        mpfr_set_d(r22569, Om, MPFR_RNDN);
        mpfr_div(r22570, r22568, r22569, MPFR_RNDN);
        mpfr_mul(r22571, r22561, r22570, MPFR_RNDN);
        mpfr_sub(r22572, r22566, r22571, MPFR_RNDN);
        mpfr_div(r22573, r22567, r22569, MPFR_RNDN);
        mpfr_pow(r22574, r22573, r22561, MPFR_RNDN);
        mpfr_mul(r22575, r22562, r22574, MPFR_RNDN);
        mpfr_set_d(r22576, U_, MPFR_RNDN);
        mpfr_sub(r22577, r22564, 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);
        return mpfr_get_d(r22581, MPFR_RNDN);
}

static mpfr_t r22582, r22583, r22584, r22585, r22586, r22587, r22588, r22589, r22590, r22591, r22592, r22593, r22594, r22595, r22596, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22582);
        mpfr_init(r22583);
        mpfr_init_set_str(r22584, "2", 10, MPFR_RNDN);
        mpfr_init(r22585);
        mpfr_init(r22586);
        mpfr_init_set_str(r22587, "-2.298581009858734e-103", 10, MPFR_RNDN);
        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);
        mpfr_init(r22597);
        mpfr_init(r22598);
        mpfr_init(r22599);
        mpfr_init(r22600);
        mpfr_init(r22601);
        mpfr_init(r22602);
        mpfr_init(r22603);
        mpfr_init(r22604);
        mpfr_init(r22605);
        mpfr_init(r22606);
        mpfr_init_set_str(r22607, "1.612130599565914e-225", 10, MPFR_RNDN);
        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(r22622);
        mpfr_init(r22623);
        mpfr_init(r22624);
        mpfr_init(r22625);
        mpfr_init(r22626);
        mpfr_init(r22627);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22582, n, MPFR_RNDN);
        mpfr_set_d(r22583, U, MPFR_RNDN);
        ;
        mpfr_mul(r22585, r22583, r22584, MPFR_RNDN);
        mpfr_mul(r22586, r22582, r22585, MPFR_RNDN);
        ;
        mpfr_set_si(r22588, mpfr_cmp(r22586, r22587) <= 0, MPFR_RNDN);
        mpfr_mul(r22589, r22584, r22582, MPFR_RNDN);
        mpfr_mul(r22590, r22589, r22583, MPFR_RNDN);
        mpfr_set_d(r22591, t, MPFR_RNDN);
        mpfr_set_d(r22592, l, MPFR_RNDN);
        mpfr_set_d(r22593, Om, MPFR_RNDN);
        mpfr_div(r22594, r22593, r22592, MPFR_RNDN);
        mpfr_div(r22595, r22592, r22594, MPFR_RNDN);
        mpfr_mul(r22596, r22584, r22595, MPFR_RNDN);
        mpfr_sub(r22597, r22591, r22596, MPFR_RNDN);
        mpfr_div(r22598, r22592, r22593, MPFR_RNDN);
        mpfr_pow(r22599, r22598, r22584, MPFR_RNDN);
        mpfr_set_d(r22600, U_, MPFR_RNDN);
        mpfr_sub(r22601, r22583, r22600, MPFR_RNDN);
        mpfr_mul(r22602, r22599, r22601, MPFR_RNDN);
        mpfr_mul(r22603, r22582, r22602, MPFR_RNDN);
        mpfr_sub(r22604, r22597, r22603, MPFR_RNDN);
        mpfr_mul(r22605, r22590, r22604, MPFR_RNDN);
        mpfr_sqrt(r22606, r22605, MPFR_RNDN);
        ;
        mpfr_set_si(r22608, mpfr_cmp(r22586, r22607) <= 0, MPFR_RNDN);
        mpfr_div(r22609, r22593, r22582, MPFR_RNDN);
        mpfr_div(r22610, r22592, r22609, MPFR_RNDN);
        mpfr_cbrt(r22611, r22598, MPFR_RNDN);
        mpfr_mul(r22612, r22610, r22611, MPFR_RNDN);
        mpfr_pow(r22613, r22611, r22584, MPFR_RNDN);
        mpfr_mul(r22614, r22612, r22613, MPFR_RNDN);
        mpfr_mul(r22615, r22614, r22601, MPFR_RNDN);
        mpfr_sub(r22616, r22597, r22615, MPFR_RNDN);
        mpfr_mul(r22617, r22583, r22616, MPFR_RNDN);
        mpfr_mul(r22618, r22589, r22617, MPFR_RNDN);
        mpfr_sqrt(r22619, r22618, MPFR_RNDN);
        mpfr_sqrt(r22620, r22590, MPFR_RNDN);
        mpfr_mul(r22621, r22582, r22599, MPFR_RNDN);
        mpfr_mul(r22622, r22621, r22601, MPFR_RNDN);
        mpfr_sub(r22623, r22597, r22622, MPFR_RNDN);
        mpfr_sqrt(r22624, r22623, MPFR_RNDN);
        mpfr_mul(r22625, r22620, r22624, MPFR_RNDN);
        if (mpfr_get_si(r22608, MPFR_RNDN)) { mpfr_set(r22626, r22619, MPFR_RNDN); } else { mpfr_set(r22626, r22625, MPFR_RNDN); };
        if (mpfr_get_si(r22588, MPFR_RNDN)) { mpfr_set(r22627, r22606, MPFR_RNDN); } else { mpfr_set(r22627, r22626, MPFR_RNDN); };
        return mpfr_get_d(r22627, MPFR_RNDN);
}

static mpfr_t r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639, r22640, r22641, r22642, r22643, r22644, r22645, r22646, r22647, r22648, r22649, r22650, r22651, r22652, r22653, r22654, r22655, r22656, r22657, r22658, r22659, r22660, r22661, r22662, r22663, r22664, r22665, r22666, r22667, r22668, r22669, r22670, r22671, r22672, r22673;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22628);
        mpfr_init(r22629);
        mpfr_init_set_str(r22630, "2", 10, MPFR_RNDN);
        mpfr_init(r22631);
        mpfr_init(r22632);
        mpfr_init_set_str(r22633, "-2.298581009858734e-103", 10, MPFR_RNDN);
        mpfr_init(r22634);
        mpfr_init(r22635);
        mpfr_init(r22636);
        mpfr_init(r22637);
        mpfr_init(r22638);
        mpfr_init(r22639);
        mpfr_init(r22640);
        mpfr_init(r22641);
        mpfr_init(r22642);
        mpfr_init(r22643);
        mpfr_init(r22644);
        mpfr_init(r22645);
        mpfr_init(r22646);
        mpfr_init(r22647);
        mpfr_init(r22648);
        mpfr_init(r22649);
        mpfr_init(r22650);
        mpfr_init(r22651);
        mpfr_init(r22652);
        mpfr_init_set_str(r22653, "1.612130599565914e-225", 10, MPFR_RNDN);
        mpfr_init(r22654);
        mpfr_init(r22655);
        mpfr_init(r22656);
        mpfr_init(r22657);
        mpfr_init(r22658);
        mpfr_init(r22659);
        mpfr_init(r22660);
        mpfr_init(r22661);
        mpfr_init(r22662);
        mpfr_init(r22663);
        mpfr_init(r22664);
        mpfr_init(r22665);
        mpfr_init(r22666);
        mpfr_init(r22667);
        mpfr_init(r22668);
        mpfr_init(r22669);
        mpfr_init(r22670);
        mpfr_init(r22671);
        mpfr_init(r22672);
        mpfr_init(r22673);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22628, n, MPFR_RNDN);
        mpfr_set_d(r22629, U, MPFR_RNDN);
        ;
        mpfr_mul(r22631, r22629, r22630, MPFR_RNDN);
        mpfr_mul(r22632, r22628, r22631, MPFR_RNDN);
        ;
        mpfr_set_si(r22634, mpfr_cmp(r22632, r22633) <= 0, MPFR_RNDN);
        mpfr_mul(r22635, r22630, r22628, MPFR_RNDN);
        mpfr_mul(r22636, r22635, r22629, MPFR_RNDN);
        mpfr_set_d(r22637, t, MPFR_RNDN);
        mpfr_set_d(r22638, l, MPFR_RNDN);
        mpfr_set_d(r22639, Om, MPFR_RNDN);
        mpfr_div(r22640, r22639, r22638, MPFR_RNDN);
        mpfr_div(r22641, r22638, r22640, MPFR_RNDN);
        mpfr_mul(r22642, r22630, r22641, MPFR_RNDN);
        mpfr_sub(r22643, r22637, r22642, MPFR_RNDN);
        mpfr_div(r22644, r22638, r22639, MPFR_RNDN);
        mpfr_pow(r22645, r22644, r22630, MPFR_RNDN);
        mpfr_set_d(r22646, U_, MPFR_RNDN);
        mpfr_sub(r22647, r22629, r22646, MPFR_RNDN);
        mpfr_mul(r22648, r22645, r22647, MPFR_RNDN);
        mpfr_mul(r22649, r22628, r22648, MPFR_RNDN);
        mpfr_sub(r22650, r22643, r22649, MPFR_RNDN);
        mpfr_mul(r22651, r22636, r22650, MPFR_RNDN);
        mpfr_sqrt(r22652, r22651, MPFR_RNDN);
        ;
        mpfr_set_si(r22654, mpfr_cmp(r22632, r22653) <= 0, MPFR_RNDN);
        mpfr_div(r22655, r22639, r22628, MPFR_RNDN);
        mpfr_div(r22656, r22638, r22655, MPFR_RNDN);
        mpfr_cbrt(r22657, r22644, MPFR_RNDN);
        mpfr_mul(r22658, r22656, r22657, MPFR_RNDN);
        mpfr_pow(r22659, r22657, r22630, MPFR_RNDN);
        mpfr_mul(r22660, r22658, r22659, MPFR_RNDN);
        mpfr_mul(r22661, r22660, r22647, MPFR_RNDN);
        mpfr_sub(r22662, r22643, r22661, MPFR_RNDN);
        mpfr_mul(r22663, r22629, r22662, MPFR_RNDN);
        mpfr_mul(r22664, r22635, r22663, MPFR_RNDN);
        mpfr_sqrt(r22665, r22664, MPFR_RNDN);
        mpfr_sqrt(r22666, r22636, MPFR_RNDN);
        mpfr_mul(r22667, r22628, r22645, MPFR_RNDN);
        mpfr_mul(r22668, r22667, r22647, MPFR_RNDN);
        mpfr_sub(r22669, r22643, r22668, MPFR_RNDN);
        mpfr_sqrt(r22670, r22669, MPFR_RNDN);
        mpfr_mul(r22671, r22666, r22670, MPFR_RNDN);
        if (mpfr_get_si(r22654, MPFR_RNDN)) { mpfr_set(r22672, r22665, MPFR_RNDN); } else { mpfr_set(r22672, r22671, MPFR_RNDN); };
        if (mpfr_get_si(r22634, MPFR_RNDN)) { mpfr_set(r22673, r22652, MPFR_RNDN); } else { mpfr_set(r22673, r22672, MPFR_RNDN); };
        return mpfr_get_d(r22673, MPFR_RNDN);
}