#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 r22445 = 2;
        float r22446 = n;
        float r22447 = r22445 * r22446;
        float r22448 = U;
        float r22449 = r22447 * r22448;
        float r22450 = t;
        float r22451 = l;
        float r22452 = r22451 * r22451;
        float r22453 = Om;
        float r22454 = r22452 / r22453;
        float r22455 = r22445 * r22454;
        float r22456 = r22450 - r22455;
        float r22457 = r22451 / r22453;
        float r22458 = pow(r22457, r22445);
        float r22459 = r22446 * r22458;
        float r22460 = U_;
        float r22461 = r22448 - r22460;
        float r22462 = r22459 * r22461;
        float r22463 = r22456 - r22462;
        float r22464 = r22449 * r22463;
        float r22465 = sqrt(r22464);
        return r22465;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22466 = 2;
        double r22467 = n;
        double r22468 = r22466 * r22467;
        double r22469 = U;
        double r22470 = r22468 * r22469;
        double r22471 = t;
        double r22472 = l;
        double r22473 = r22472 * r22472;
        double r22474 = Om;
        double r22475 = r22473 / r22474;
        double r22476 = r22466 * r22475;
        double r22477 = r22471 - r22476;
        double r22478 = r22472 / r22474;
        double r22479 = pow(r22478, r22466);
        double r22480 = r22467 * r22479;
        double r22481 = U_;
        double r22482 = r22469 - r22481;
        double r22483 = r22480 * r22482;
        double r22484 = r22477 - r22483;
        double r22485 = r22470 * r22484;
        double r22486 = sqrt(r22485);
        return r22486;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22487 = n;
        float r22488 = U;
        float r22489 = 2;
        float r22490 = r22488 * r22489;
        float r22491 = r22487 * r22490;
        float r22492 = -5.338105831608202e-104;
        bool r22493 = r22491 <= r22492;
        float r22494 = r22489 * r22487;
        float r22495 = r22494 * r22488;
        float r22496 = t;
        float r22497 = l;
        float r22498 = Om;
        float r22499 = r22498 / r22497;
        float r22500 = r22497 / r22499;
        float r22501 = r22489 * r22500;
        float r22502 = r22496 - r22501;
        float r22503 = r22497 / r22498;
        float r22504 = pow(r22503, r22489);
        float r22505 = U_;
        float r22506 = r22488 - r22505;
        float r22507 = r22504 * r22506;
        float r22508 = r22487 * r22507;
        float r22509 = r22502 - r22508;
        float r22510 = r22495 * r22509;
        float r22511 = sqrt(r22510);
        float r22512 = 1.6378770940113875e-225;
        bool r22513 = r22491 <= r22512;
        float r22514 = r22498 / r22487;
        float r22515 = r22497 / r22514;
        float r22516 = cbrt(r22503);
        float r22517 = r22515 * r22516;
        float r22518 = pow(r22516, r22489);
        float r22519 = r22517 * r22518;
        float r22520 = r22519 * r22506;
        float r22521 = r22502 - r22520;
        float r22522 = r22488 * r22521;
        float r22523 = r22494 * r22522;
        float r22524 = sqrt(r22523);
        float r22525 = sqrt(r22495);
        float r22526 = r22487 * r22504;
        float r22527 = r22526 * r22506;
        float r22528 = r22502 - r22527;
        float r22529 = sqrt(r22528);
        float r22530 = r22525 * r22529;
        float r22531 = r22513 ? r22524 : r22530;
        float r22532 = r22493 ? r22511 : r22531;
        return r22532;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22533 = n;
        double r22534 = U;
        double r22535 = 2;
        double r22536 = r22534 * r22535;
        double r22537 = r22533 * r22536;
        double r22538 = -5.338105831608202e-104;
        bool r22539 = r22537 <= r22538;
        double r22540 = r22535 * r22533;
        double r22541 = r22540 * r22534;
        double r22542 = t;
        double r22543 = l;
        double r22544 = Om;
        double r22545 = r22544 / r22543;
        double r22546 = r22543 / r22545;
        double r22547 = r22535 * r22546;
        double r22548 = r22542 - r22547;
        double r22549 = r22543 / r22544;
        double r22550 = pow(r22549, r22535);
        double r22551 = U_;
        double r22552 = r22534 - r22551;
        double r22553 = r22550 * r22552;
        double r22554 = r22533 * r22553;
        double r22555 = r22548 - r22554;
        double r22556 = r22541 * r22555;
        double r22557 = sqrt(r22556);
        double r22558 = 1.6378770940113875e-225;
        bool r22559 = r22537 <= r22558;
        double r22560 = r22544 / r22533;
        double r22561 = r22543 / r22560;
        double r22562 = cbrt(r22549);
        double r22563 = r22561 * r22562;
        double r22564 = pow(r22562, r22535);
        double r22565 = r22563 * r22564;
        double r22566 = r22565 * r22552;
        double r22567 = r22548 - r22566;
        double r22568 = r22534 * r22567;
        double r22569 = r22540 * r22568;
        double r22570 = sqrt(r22569);
        double r22571 = sqrt(r22541);
        double r22572 = r22533 * r22550;
        double r22573 = r22572 * r22552;
        double r22574 = r22548 - r22573;
        double r22575 = sqrt(r22574);
        double r22576 = r22571 * r22575;
        double r22577 = r22559 ? r22570 : r22576;
        double r22578 = r22539 ? r22557 : r22577;
        return r22578;
}

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 r22579, r22580, r22581, r22582, r22583, r22584, r22585, r22586, r22587, r22588, r22589, r22590, r22591, r22592, r22593, r22594, r22595, r22596, r22597, r22598, r22599;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22579, "2", 10, MPFR_RNDN);
        mpfr_init(r22580);
        mpfr_init(r22581);
        mpfr_init(r22582);
        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);
        mpfr_init(r22597);
        mpfr_init(r22598);
        mpfr_init(r22599);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22580, n, MPFR_RNDN);
        mpfr_mul(r22581, r22579, r22580, MPFR_RNDN);
        mpfr_set_d(r22582, U, MPFR_RNDN);
        mpfr_mul(r22583, r22581, r22582, MPFR_RNDN);
        mpfr_set_d(r22584, t, MPFR_RNDN);
        mpfr_set_d(r22585, l, MPFR_RNDN);
        mpfr_mul(r22586, r22585, r22585, MPFR_RNDN);
        mpfr_set_d(r22587, Om, MPFR_RNDN);
        mpfr_div(r22588, r22586, r22587, MPFR_RNDN);
        mpfr_mul(r22589, r22579, r22588, MPFR_RNDN);
        mpfr_sub(r22590, r22584, r22589, MPFR_RNDN);
        mpfr_div(r22591, r22585, r22587, MPFR_RNDN);
        mpfr_pow(r22592, r22591, r22579, MPFR_RNDN);
        mpfr_mul(r22593, r22580, r22592, MPFR_RNDN);
        mpfr_set_d(r22594, U_, MPFR_RNDN);
        mpfr_sub(r22595, r22582, r22594, MPFR_RNDN);
        mpfr_mul(r22596, r22593, r22595, MPFR_RNDN);
        mpfr_sub(r22597, r22590, r22596, MPFR_RNDN);
        mpfr_mul(r22598, r22583, r22597, MPFR_RNDN);
        mpfr_sqrt(r22599, r22598, MPFR_RNDN);
        return mpfr_get_d(r22599, MPFR_RNDN);
}

static mpfr_t 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, r22637, r22638, r22639, r22640, r22641, r22642, r22643, r22644, r22645;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22600);
        mpfr_init(r22601);
        mpfr_init_set_str(r22602, "2", 10, MPFR_RNDN);
        mpfr_init(r22603);
        mpfr_init(r22604);
        mpfr_init_set_str(r22605, "-5.338105831608202e-104", 10, MPFR_RNDN);
        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(r22622);
        mpfr_init(r22623);
        mpfr_init(r22624);
        mpfr_init_set_str(r22625, "1.6378770940113875e-225", 10, MPFR_RNDN);
        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);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22600, n, MPFR_RNDN);
        mpfr_set_d(r22601, U, MPFR_RNDN);
        ;
        mpfr_mul(r22603, r22601, r22602, MPFR_RNDN);
        mpfr_mul(r22604, r22600, r22603, MPFR_RNDN);
        ;
        mpfr_set_si(r22606, mpfr_cmp(r22604, r22605) <= 0, MPFR_RNDN);
        mpfr_mul(r22607, r22602, r22600, MPFR_RNDN);
        mpfr_mul(r22608, r22607, r22601, MPFR_RNDN);
        mpfr_set_d(r22609, t, MPFR_RNDN);
        mpfr_set_d(r22610, l, MPFR_RNDN);
        mpfr_set_d(r22611, Om, MPFR_RNDN);
        mpfr_div(r22612, r22611, r22610, MPFR_RNDN);
        mpfr_div(r22613, r22610, r22612, MPFR_RNDN);
        mpfr_mul(r22614, r22602, r22613, MPFR_RNDN);
        mpfr_sub(r22615, r22609, r22614, MPFR_RNDN);
        mpfr_div(r22616, r22610, r22611, MPFR_RNDN);
        mpfr_pow(r22617, r22616, r22602, MPFR_RNDN);
        mpfr_set_d(r22618, U_, MPFR_RNDN);
        mpfr_sub(r22619, r22601, r22618, MPFR_RNDN);
        mpfr_mul(r22620, r22617, r22619, MPFR_RNDN);
        mpfr_mul(r22621, r22600, r22620, MPFR_RNDN);
        mpfr_sub(r22622, r22615, r22621, MPFR_RNDN);
        mpfr_mul(r22623, r22608, r22622, MPFR_RNDN);
        mpfr_sqrt(r22624, r22623, MPFR_RNDN);
        ;
        mpfr_set_si(r22626, mpfr_cmp(r22604, r22625) <= 0, MPFR_RNDN);
        mpfr_div(r22627, r22611, r22600, MPFR_RNDN);
        mpfr_div(r22628, r22610, r22627, MPFR_RNDN);
        mpfr_cbrt(r22629, r22616, MPFR_RNDN);
        mpfr_mul(r22630, r22628, r22629, MPFR_RNDN);
        mpfr_pow(r22631, r22629, r22602, MPFR_RNDN);
        mpfr_mul(r22632, r22630, r22631, MPFR_RNDN);
        mpfr_mul(r22633, r22632, r22619, MPFR_RNDN);
        mpfr_sub(r22634, r22615, r22633, MPFR_RNDN);
        mpfr_mul(r22635, r22601, r22634, MPFR_RNDN);
        mpfr_mul(r22636, r22607, r22635, MPFR_RNDN);
        mpfr_sqrt(r22637, r22636, MPFR_RNDN);
        mpfr_sqrt(r22638, r22608, MPFR_RNDN);
        mpfr_mul(r22639, r22600, r22617, MPFR_RNDN);
        mpfr_mul(r22640, r22639, r22619, MPFR_RNDN);
        mpfr_sub(r22641, r22615, r22640, MPFR_RNDN);
        mpfr_sqrt(r22642, r22641, MPFR_RNDN);
        mpfr_mul(r22643, r22638, r22642, MPFR_RNDN);
        if (mpfr_get_si(r22626, MPFR_RNDN)) { mpfr_set(r22644, r22637, MPFR_RNDN); } else { mpfr_set(r22644, r22643, MPFR_RNDN); };
        if (mpfr_get_si(r22606, MPFR_RNDN)) { mpfr_set(r22645, r22624, MPFR_RNDN); } else { mpfr_set(r22645, r22644, MPFR_RNDN); };
        return mpfr_get_d(r22645, MPFR_RNDN);
}

static mpfr_t 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, r22674, r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690, r22691;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22646);
        mpfr_init(r22647);
        mpfr_init_set_str(r22648, "2", 10, MPFR_RNDN);
        mpfr_init(r22649);
        mpfr_init(r22650);
        mpfr_init_set_str(r22651, "-5.338105831608202e-104", 10, MPFR_RNDN);
        mpfr_init(r22652);
        mpfr_init(r22653);
        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_set_str(r22671, "1.6378770940113875e-225", 10, MPFR_RNDN);
        mpfr_init(r22672);
        mpfr_init(r22673);
        mpfr_init(r22674);
        mpfr_init(r22675);
        mpfr_init(r22676);
        mpfr_init(r22677);
        mpfr_init(r22678);
        mpfr_init(r22679);
        mpfr_init(r22680);
        mpfr_init(r22681);
        mpfr_init(r22682);
        mpfr_init(r22683);
        mpfr_init(r22684);
        mpfr_init(r22685);
        mpfr_init(r22686);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init(r22689);
        mpfr_init(r22690);
        mpfr_init(r22691);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22646, n, MPFR_RNDN);
        mpfr_set_d(r22647, U, MPFR_RNDN);
        ;
        mpfr_mul(r22649, r22647, r22648, MPFR_RNDN);
        mpfr_mul(r22650, r22646, r22649, MPFR_RNDN);
        ;
        mpfr_set_si(r22652, mpfr_cmp(r22650, r22651) <= 0, MPFR_RNDN);
        mpfr_mul(r22653, r22648, r22646, MPFR_RNDN);
        mpfr_mul(r22654, r22653, r22647, MPFR_RNDN);
        mpfr_set_d(r22655, t, MPFR_RNDN);
        mpfr_set_d(r22656, l, MPFR_RNDN);
        mpfr_set_d(r22657, Om, MPFR_RNDN);
        mpfr_div(r22658, r22657, r22656, MPFR_RNDN);
        mpfr_div(r22659, r22656, r22658, MPFR_RNDN);
        mpfr_mul(r22660, r22648, r22659, MPFR_RNDN);
        mpfr_sub(r22661, r22655, r22660, MPFR_RNDN);
        mpfr_div(r22662, r22656, r22657, MPFR_RNDN);
        mpfr_pow(r22663, r22662, r22648, MPFR_RNDN);
        mpfr_set_d(r22664, U_, MPFR_RNDN);
        mpfr_sub(r22665, r22647, r22664, MPFR_RNDN);
        mpfr_mul(r22666, r22663, r22665, MPFR_RNDN);
        mpfr_mul(r22667, r22646, r22666, MPFR_RNDN);
        mpfr_sub(r22668, r22661, r22667, MPFR_RNDN);
        mpfr_mul(r22669, r22654, r22668, MPFR_RNDN);
        mpfr_sqrt(r22670, r22669, MPFR_RNDN);
        ;
        mpfr_set_si(r22672, mpfr_cmp(r22650, r22671) <= 0, MPFR_RNDN);
        mpfr_div(r22673, r22657, r22646, MPFR_RNDN);
        mpfr_div(r22674, r22656, r22673, MPFR_RNDN);
        mpfr_cbrt(r22675, r22662, MPFR_RNDN);
        mpfr_mul(r22676, r22674, r22675, MPFR_RNDN);
        mpfr_pow(r22677, r22675, r22648, MPFR_RNDN);
        mpfr_mul(r22678, r22676, r22677, MPFR_RNDN);
        mpfr_mul(r22679, r22678, r22665, MPFR_RNDN);
        mpfr_sub(r22680, r22661, r22679, MPFR_RNDN);
        mpfr_mul(r22681, r22647, r22680, MPFR_RNDN);
        mpfr_mul(r22682, r22653, r22681, MPFR_RNDN);
        mpfr_sqrt(r22683, r22682, MPFR_RNDN);
        mpfr_sqrt(r22684, r22654, MPFR_RNDN);
        mpfr_mul(r22685, r22646, r22663, MPFR_RNDN);
        mpfr_mul(r22686, r22685, r22665, MPFR_RNDN);
        mpfr_sub(r22687, r22661, r22686, MPFR_RNDN);
        mpfr_sqrt(r22688, r22687, MPFR_RNDN);
        mpfr_mul(r22689, r22684, r22688, MPFR_RNDN);
        if (mpfr_get_si(r22672, MPFR_RNDN)) { mpfr_set(r22690, r22683, MPFR_RNDN); } else { mpfr_set(r22690, r22689, MPFR_RNDN); };
        if (mpfr_get_si(r22652, MPFR_RNDN)) { mpfr_set(r22691, r22670, MPFR_RNDN); } else { mpfr_set(r22691, r22690, MPFR_RNDN); };
        return mpfr_get_d(r22691, MPFR_RNDN);
}