#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 r22477 = 2;
        float r22478 = n;
        float r22479 = r22477 * r22478;
        float r22480 = U;
        float r22481 = r22479 * r22480;
        float r22482 = t;
        float r22483 = l;
        float r22484 = r22483 * r22483;
        float r22485 = Om;
        float r22486 = r22484 / r22485;
        float r22487 = r22477 * r22486;
        float r22488 = r22482 - r22487;
        float r22489 = r22483 / r22485;
        float r22490 = pow(r22489, r22477);
        float r22491 = r22478 * r22490;
        float r22492 = U_;
        float r22493 = r22480 - r22492;
        float r22494 = r22491 * r22493;
        float r22495 = r22488 - r22494;
        float r22496 = r22481 * r22495;
        float r22497 = sqrt(r22496);
        return r22497;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22498 = 2;
        double r22499 = n;
        double r22500 = r22498 * r22499;
        double r22501 = U;
        double r22502 = r22500 * r22501;
        double r22503 = t;
        double r22504 = l;
        double r22505 = r22504 * r22504;
        double r22506 = Om;
        double r22507 = r22505 / r22506;
        double r22508 = r22498 * r22507;
        double r22509 = r22503 - r22508;
        double r22510 = r22504 / r22506;
        double r22511 = pow(r22510, r22498);
        double r22512 = r22499 * r22511;
        double r22513 = U_;
        double r22514 = r22501 - r22513;
        double r22515 = r22512 * r22514;
        double r22516 = r22509 - r22515;
        double r22517 = r22502 * r22516;
        double r22518 = sqrt(r22517);
        return r22518;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22519 = n;
        float r22520 = 2;
        float r22521 = r22519 * r22520;
        float r22522 = U;
        float r22523 = r22521 * r22522;
        float r22524 = -1.9359170839125e-316;
        bool r22525 = r22523 <= r22524;
        float r22526 = r22520 * r22519;
        float r22527 = r22526 * r22522;
        float r22528 = t;
        float r22529 = l;
        float r22530 = r22529 * r22529;
        float r22531 = Om;
        float r22532 = r22530 / r22531;
        float r22533 = r22520 * r22532;
        float r22534 = r22528 - r22533;
        float r22535 = r22529 / r22531;
        float r22536 = pow(r22535, r22520);
        float r22537 = r22519 * r22536;
        float r22538 = U_;
        float r22539 = r22522 - r22538;
        float r22540 = r22537 * r22539;
        float r22541 = r22534 - r22540;
        float r22542 = r22527 * r22541;
        float r22543 = sqrt(r22542);
        float r22544 = sqrt(r22543);
        float r22545 = r22544 * r22544;
        float r22546 = 1.3244368670575675e-301;
        bool r22547 = r22523 <= r22546;
        float r22548 = r22519 / r22531;
        float r22549 = r22548 * r22548;
        float r22550 = r22538 * r22522;
        float r22551 = r22550 * r22530;
        float r22552 = r22529 * r22522;
        float r22553 = r22552 * r22552;
        float r22554 = r22551 - r22553;
        float r22555 = r22549 * r22554;
        float r22556 = r22528 * r22519;
        float r22557 = r22522 * r22556;
        float r22558 = r22555 + r22557;
        float r22559 = r22520 * r22558;
        float r22560 = sqrt(r22559);
        float r22561 = sqrt(r22527);
        float r22562 = sqrt(r22541);
        float r22563 = r22561 * r22562;
        float r22564 = r22547 ? r22560 : r22563;
        float r22565 = r22525 ? r22545 : r22564;
        return r22565;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22566 = n;
        double r22567 = 2;
        double r22568 = r22566 * r22567;
        double r22569 = U;
        double r22570 = r22568 * r22569;
        double r22571 = -1.9359170839125e-316;
        bool r22572 = r22570 <= r22571;
        double r22573 = r22567 * r22566;
        double r22574 = r22573 * r22569;
        double r22575 = t;
        double r22576 = l;
        double r22577 = r22576 * r22576;
        double r22578 = Om;
        double r22579 = r22577 / r22578;
        double r22580 = r22567 * r22579;
        double r22581 = r22575 - r22580;
        double r22582 = r22576 / r22578;
        double r22583 = pow(r22582, r22567);
        double r22584 = r22566 * r22583;
        double r22585 = U_;
        double r22586 = r22569 - r22585;
        double r22587 = r22584 * r22586;
        double r22588 = r22581 - r22587;
        double r22589 = r22574 * r22588;
        double r22590 = sqrt(r22589);
        double r22591 = sqrt(r22590);
        double r22592 = r22591 * r22591;
        double r22593 = 1.3244368670575675e-301;
        bool r22594 = r22570 <= r22593;
        double r22595 = r22566 / r22578;
        double r22596 = r22595 * r22595;
        double r22597 = r22585 * r22569;
        double r22598 = r22597 * r22577;
        double r22599 = r22576 * r22569;
        double r22600 = r22599 * r22599;
        double r22601 = r22598 - r22600;
        double r22602 = r22596 * r22601;
        double r22603 = r22575 * r22566;
        double r22604 = r22569 * r22603;
        double r22605 = r22602 + r22604;
        double r22606 = r22567 * r22605;
        double r22607 = sqrt(r22606);
        double r22608 = sqrt(r22574);
        double r22609 = sqrt(r22588);
        double r22610 = r22608 * r22609;
        double r22611 = r22594 ? r22607 : r22610;
        double r22612 = r22572 ? r22592 : r22611;
        return r22612;
}

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 r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22613, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22628);
        mpfr_init(r22629);
        mpfr_init(r22630);
        mpfr_init(r22631);
        mpfr_init(r22632);
        mpfr_init(r22633);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22614, n, MPFR_RNDN);
        mpfr_mul(r22615, r22613, r22614, MPFR_RNDN);
        mpfr_set_d(r22616, U, MPFR_RNDN);
        mpfr_mul(r22617, r22615, r22616, MPFR_RNDN);
        mpfr_set_d(r22618, t, MPFR_RNDN);
        mpfr_set_d(r22619, l, MPFR_RNDN);
        mpfr_mul(r22620, r22619, r22619, MPFR_RNDN);
        mpfr_set_d(r22621, Om, MPFR_RNDN);
        mpfr_div(r22622, r22620, r22621, MPFR_RNDN);
        mpfr_mul(r22623, r22613, r22622, MPFR_RNDN);
        mpfr_sub(r22624, r22618, r22623, MPFR_RNDN);
        mpfr_div(r22625, r22619, r22621, MPFR_RNDN);
        mpfr_pow(r22626, r22625, r22613, MPFR_RNDN);
        mpfr_mul(r22627, r22614, r22626, MPFR_RNDN);
        mpfr_set_d(r22628, U_, MPFR_RNDN);
        mpfr_sub(r22629, r22616, r22628, MPFR_RNDN);
        mpfr_mul(r22630, r22627, r22629, MPFR_RNDN);
        mpfr_sub(r22631, r22624, r22630, MPFR_RNDN);
        mpfr_mul(r22632, r22617, r22631, MPFR_RNDN);
        mpfr_sqrt(r22633, r22632, MPFR_RNDN);
        return mpfr_get_d(r22633, MPFR_RNDN);
}

static mpfr_t 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, r22674, r22675, r22676, r22677, r22678, r22679, r22680;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22634);
        mpfr_init_set_str(r22635, "2", 10, MPFR_RNDN);
        mpfr_init(r22636);
        mpfr_init(r22637);
        mpfr_init(r22638);
        mpfr_init_set_str(r22639, "-1.9359170839125e-316", 10, MPFR_RNDN);
        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(r22653);
        mpfr_init(r22654);
        mpfr_init(r22655);
        mpfr_init(r22656);
        mpfr_init(r22657);
        mpfr_init(r22658);
        mpfr_init(r22659);
        mpfr_init(r22660);
        mpfr_init_set_str(r22661, "1.3244368670575675e-301", 10, MPFR_RNDN);
        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);
        mpfr_init(r22674);
        mpfr_init(r22675);
        mpfr_init(r22676);
        mpfr_init(r22677);
        mpfr_init(r22678);
        mpfr_init(r22679);
        mpfr_init(r22680);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22634, n, MPFR_RNDN);
        ;
        mpfr_mul(r22636, r22634, r22635, MPFR_RNDN);
        mpfr_set_d(r22637, U, MPFR_RNDN);
        mpfr_mul(r22638, r22636, r22637, MPFR_RNDN);
        ;
        mpfr_set_si(r22640, mpfr_cmp(r22638, r22639) <= 0, MPFR_RNDN);
        mpfr_mul(r22641, r22635, r22634, MPFR_RNDN);
        mpfr_mul(r22642, r22641, r22637, MPFR_RNDN);
        mpfr_set_d(r22643, t, MPFR_RNDN);
        mpfr_set_d(r22644, l, MPFR_RNDN);
        mpfr_mul(r22645, r22644, r22644, MPFR_RNDN);
        mpfr_set_d(r22646, Om, MPFR_RNDN);
        mpfr_div(r22647, r22645, r22646, MPFR_RNDN);
        mpfr_mul(r22648, r22635, r22647, MPFR_RNDN);
        mpfr_sub(r22649, r22643, r22648, MPFR_RNDN);
        mpfr_div(r22650, r22644, r22646, MPFR_RNDN);
        mpfr_pow(r22651, r22650, r22635, MPFR_RNDN);
        mpfr_mul(r22652, r22634, r22651, MPFR_RNDN);
        mpfr_set_d(r22653, U_, MPFR_RNDN);
        mpfr_sub(r22654, r22637, r22653, MPFR_RNDN);
        mpfr_mul(r22655, r22652, r22654, MPFR_RNDN);
        mpfr_sub(r22656, r22649, r22655, MPFR_RNDN);
        mpfr_mul(r22657, r22642, r22656, MPFR_RNDN);
        mpfr_sqrt(r22658, r22657, MPFR_RNDN);
        mpfr_sqrt(r22659, r22658, MPFR_RNDN);
        mpfr_mul(r22660, r22659, r22659, MPFR_RNDN);
        ;
        mpfr_set_si(r22662, mpfr_cmp(r22638, r22661) <= 0, MPFR_RNDN);
        mpfr_div(r22663, r22634, r22646, MPFR_RNDN);
        mpfr_mul(r22664, r22663, r22663, MPFR_RNDN);
        mpfr_mul(r22665, r22653, r22637, MPFR_RNDN);
        mpfr_mul(r22666, r22665, r22645, MPFR_RNDN);
        mpfr_mul(r22667, r22644, r22637, MPFR_RNDN);
        mpfr_mul(r22668, r22667, r22667, MPFR_RNDN);
        mpfr_sub(r22669, r22666, r22668, MPFR_RNDN);
        mpfr_mul(r22670, r22664, r22669, MPFR_RNDN);
        mpfr_mul(r22671, r22643, r22634, MPFR_RNDN);
        mpfr_mul(r22672, r22637, r22671, MPFR_RNDN);
        mpfr_add(r22673, r22670, r22672, MPFR_RNDN);
        mpfr_mul(r22674, r22635, r22673, MPFR_RNDN);
        mpfr_sqrt(r22675, r22674, MPFR_RNDN);
        mpfr_sqrt(r22676, r22642, MPFR_RNDN);
        mpfr_sqrt(r22677, r22656, MPFR_RNDN);
        mpfr_mul(r22678, r22676, r22677, MPFR_RNDN);
        if (mpfr_get_si(r22662, MPFR_RNDN)) { mpfr_set(r22679, r22675, MPFR_RNDN); } else { mpfr_set(r22679, r22678, MPFR_RNDN); };
        if (mpfr_get_si(r22640, MPFR_RNDN)) { mpfr_set(r22680, r22660, MPFR_RNDN); } else { mpfr_set(r22680, r22679, MPFR_RNDN); };
        return mpfr_get_d(r22680, MPFR_RNDN);
}

static mpfr_t r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688, r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22681);
        mpfr_init_set_str(r22682, "2", 10, MPFR_RNDN);
        mpfr_init(r22683);
        mpfr_init(r22684);
        mpfr_init(r22685);
        mpfr_init_set_str(r22686, "-1.9359170839125e-316", 10, MPFR_RNDN);
        mpfr_init(r22687);
        mpfr_init(r22688);
        mpfr_init(r22689);
        mpfr_init(r22690);
        mpfr_init(r22691);
        mpfr_init(r22692);
        mpfr_init(r22693);
        mpfr_init(r22694);
        mpfr_init(r22695);
        mpfr_init(r22696);
        mpfr_init(r22697);
        mpfr_init(r22698);
        mpfr_init(r22699);
        mpfr_init(r22700);
        mpfr_init(r22701);
        mpfr_init(r22702);
        mpfr_init(r22703);
        mpfr_init(r22704);
        mpfr_init(r22705);
        mpfr_init(r22706);
        mpfr_init(r22707);
        mpfr_init_set_str(r22708, "1.3244368670575675e-301", 10, MPFR_RNDN);
        mpfr_init(r22709);
        mpfr_init(r22710);
        mpfr_init(r22711);
        mpfr_init(r22712);
        mpfr_init(r22713);
        mpfr_init(r22714);
        mpfr_init(r22715);
        mpfr_init(r22716);
        mpfr_init(r22717);
        mpfr_init(r22718);
        mpfr_init(r22719);
        mpfr_init(r22720);
        mpfr_init(r22721);
        mpfr_init(r22722);
        mpfr_init(r22723);
        mpfr_init(r22724);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init(r22727);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22681, n, MPFR_RNDN);
        ;
        mpfr_mul(r22683, r22681, r22682, MPFR_RNDN);
        mpfr_set_d(r22684, U, MPFR_RNDN);
        mpfr_mul(r22685, r22683, r22684, MPFR_RNDN);
        ;
        mpfr_set_si(r22687, mpfr_cmp(r22685, r22686) <= 0, MPFR_RNDN);
        mpfr_mul(r22688, r22682, r22681, MPFR_RNDN);
        mpfr_mul(r22689, r22688, r22684, MPFR_RNDN);
        mpfr_set_d(r22690, t, MPFR_RNDN);
        mpfr_set_d(r22691, l, MPFR_RNDN);
        mpfr_mul(r22692, r22691, r22691, MPFR_RNDN);
        mpfr_set_d(r22693, Om, MPFR_RNDN);
        mpfr_div(r22694, r22692, r22693, MPFR_RNDN);
        mpfr_mul(r22695, r22682, r22694, MPFR_RNDN);
        mpfr_sub(r22696, r22690, r22695, MPFR_RNDN);
        mpfr_div(r22697, r22691, r22693, MPFR_RNDN);
        mpfr_pow(r22698, r22697, r22682, MPFR_RNDN);
        mpfr_mul(r22699, r22681, r22698, MPFR_RNDN);
        mpfr_set_d(r22700, U_, MPFR_RNDN);
        mpfr_sub(r22701, r22684, r22700, MPFR_RNDN);
        mpfr_mul(r22702, r22699, r22701, MPFR_RNDN);
        mpfr_sub(r22703, r22696, r22702, MPFR_RNDN);
        mpfr_mul(r22704, r22689, r22703, MPFR_RNDN);
        mpfr_sqrt(r22705, r22704, MPFR_RNDN);
        mpfr_sqrt(r22706, r22705, MPFR_RNDN);
        mpfr_mul(r22707, r22706, r22706, MPFR_RNDN);
        ;
        mpfr_set_si(r22709, mpfr_cmp(r22685, r22708) <= 0, MPFR_RNDN);
        mpfr_div(r22710, r22681, r22693, MPFR_RNDN);
        mpfr_mul(r22711, r22710, r22710, MPFR_RNDN);
        mpfr_mul(r22712, r22700, r22684, MPFR_RNDN);
        mpfr_mul(r22713, r22712, r22692, MPFR_RNDN);
        mpfr_mul(r22714, r22691, r22684, MPFR_RNDN);
        mpfr_mul(r22715, r22714, r22714, MPFR_RNDN);
        mpfr_sub(r22716, r22713, r22715, MPFR_RNDN);
        mpfr_mul(r22717, r22711, r22716, MPFR_RNDN);
        mpfr_mul(r22718, r22690, r22681, MPFR_RNDN);
        mpfr_mul(r22719, r22684, r22718, MPFR_RNDN);
        mpfr_add(r22720, r22717, r22719, MPFR_RNDN);
        mpfr_mul(r22721, r22682, r22720, MPFR_RNDN);
        mpfr_sqrt(r22722, r22721, MPFR_RNDN);
        mpfr_sqrt(r22723, r22689, MPFR_RNDN);
        mpfr_sqrt(r22724, r22703, MPFR_RNDN);
        mpfr_mul(r22725, r22723, r22724, MPFR_RNDN);
        if (mpfr_get_si(r22709, MPFR_RNDN)) { mpfr_set(r22726, r22722, MPFR_RNDN); } else { mpfr_set(r22726, r22725, MPFR_RNDN); };
        if (mpfr_get_si(r22687, MPFR_RNDN)) { mpfr_set(r22727, r22707, MPFR_RNDN); } else { mpfr_set(r22727, r22726, MPFR_RNDN); };
        return mpfr_get_d(r22727, MPFR_RNDN);
}