#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 r20521 = 2;
        float r20522 = n;
        float r20523 = r20521 * r20522;
        float r20524 = U;
        float r20525 = r20523 * r20524;
        float r20526 = t;
        float r20527 = l;
        float r20528 = r20527 * r20527;
        float r20529 = Om;
        float r20530 = r20528 / r20529;
        float r20531 = r20521 * r20530;
        float r20532 = r20526 - r20531;
        float r20533 = r20527 / r20529;
        float r20534 = pow(r20533, r20521);
        float r20535 = r20522 * r20534;
        float r20536 = U_;
        float r20537 = r20524 - r20536;
        float r20538 = r20535 * r20537;
        float r20539 = r20532 - r20538;
        float r20540 = r20525 * r20539;
        float r20541 = sqrt(r20540);
        return r20541;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r20542 = 2;
        double r20543 = n;
        double r20544 = r20542 * r20543;
        double r20545 = U;
        double r20546 = r20544 * r20545;
        double r20547 = t;
        double r20548 = l;
        double r20549 = r20548 * r20548;
        double r20550 = Om;
        double r20551 = r20549 / r20550;
        double r20552 = r20542 * r20551;
        double r20553 = r20547 - r20552;
        double r20554 = r20548 / r20550;
        double r20555 = pow(r20554, r20542);
        double r20556 = r20543 * r20555;
        double r20557 = U_;
        double r20558 = r20545 - r20557;
        double r20559 = r20556 * r20558;
        double r20560 = r20553 - r20559;
        double r20561 = r20546 * r20560;
        double r20562 = sqrt(r20561);
        return r20562;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r20563 = U;
        float r20564 = -9.6558610117101e+96;
        bool r20565 = r20563 <= r20564;
        float r20566 = 2;
        float r20567 = n;
        float r20568 = r20566 * r20567;
        float r20569 = r20568 * r20563;
        float r20570 = t;
        float r20571 = l;
        float r20572 = Om;
        float r20573 = r20572 / r20571;
        float r20574 = r20571 / r20573;
        float r20575 = r20566 * r20574;
        float r20576 = r20570 - r20575;
        float r20577 = r20571 / r20572;
        float r20578 = pow(r20577, r20566);
        float r20579 = r20567 * r20578;
        float r20580 = U_;
        float r20581 = r20563 - r20580;
        float r20582 = r20579 * r20581;
        float r20583 = r20576 - r20582;
        float r20584 = r20569 * r20583;
        float r20585 = sqrt(r20584);
        float r20586 = cbrt(r20585);
        float r20587 = r20586 * r20586;
        float r20588 = r20587 * r20586;
        float r20589 = 3.742916867472194e+65;
        bool r20590 = r20563 <= r20589;
        float r20591 = r20567 * r20577;
        float r20592 = r20577 * r20581;
        float r20593 = r20591 * r20592;
        float r20594 = r20576 - r20593;
        float r20595 = r20563 * r20594;
        float r20596 = r20568 * r20595;
        float r20597 = sqrt(r20596);
        float r20598 = r20590 ? r20597 : r20588;
        float r20599 = r20565 ? r20588 : r20598;
        return r20599;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r20600 = U;
        double r20601 = -9.6558610117101e+96;
        bool r20602 = r20600 <= r20601;
        double r20603 = 2;
        double r20604 = n;
        double r20605 = r20603 * r20604;
        double r20606 = r20605 * r20600;
        double r20607 = t;
        double r20608 = l;
        double r20609 = Om;
        double r20610 = r20609 / r20608;
        double r20611 = r20608 / r20610;
        double r20612 = r20603 * r20611;
        double r20613 = r20607 - r20612;
        double r20614 = r20608 / r20609;
        double r20615 = pow(r20614, r20603);
        double r20616 = r20604 * r20615;
        double r20617 = U_;
        double r20618 = r20600 - r20617;
        double r20619 = r20616 * r20618;
        double r20620 = r20613 - r20619;
        double r20621 = r20606 * r20620;
        double r20622 = sqrt(r20621);
        double r20623 = cbrt(r20622);
        double r20624 = r20623 * r20623;
        double r20625 = r20624 * r20623;
        double r20626 = 3.742916867472194e+65;
        bool r20627 = r20600 <= r20626;
        double r20628 = r20604 * r20614;
        double r20629 = r20614 * r20618;
        double r20630 = r20628 * r20629;
        double r20631 = r20613 - r20630;
        double r20632 = r20600 * r20631;
        double r20633 = r20605 * r20632;
        double r20634 = sqrt(r20633);
        double r20635 = r20627 ? r20634 : r20625;
        double r20636 = r20602 ? r20625 : r20635;
        return r20636;
}

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 r20637, r20638, r20639, r20640, r20641, r20642, r20643, r20644, r20645, r20646, r20647, r20648, r20649, r20650, r20651, r20652, r20653, r20654, r20655, r20656, r20657;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r20637, "2", 10, MPFR_RNDN);
        mpfr_init(r20638);
        mpfr_init(r20639);
        mpfr_init(r20640);
        mpfr_init(r20641);
        mpfr_init(r20642);
        mpfr_init(r20643);
        mpfr_init(r20644);
        mpfr_init(r20645);
        mpfr_init(r20646);
        mpfr_init(r20647);
        mpfr_init(r20648);
        mpfr_init(r20649);
        mpfr_init(r20650);
        mpfr_init(r20651);
        mpfr_init(r20652);
        mpfr_init(r20653);
        mpfr_init(r20654);
        mpfr_init(r20655);
        mpfr_init(r20656);
        mpfr_init(r20657);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r20638, n, MPFR_RNDN);
        mpfr_mul(r20639, r20637, r20638, MPFR_RNDN);
        mpfr_set_d(r20640, U, MPFR_RNDN);
        mpfr_mul(r20641, r20639, r20640, MPFR_RNDN);
        mpfr_set_d(r20642, t, MPFR_RNDN);
        mpfr_set_d(r20643, l, MPFR_RNDN);
        mpfr_mul(r20644, r20643, r20643, MPFR_RNDN);
        mpfr_set_d(r20645, Om, MPFR_RNDN);
        mpfr_div(r20646, r20644, r20645, MPFR_RNDN);
        mpfr_mul(r20647, r20637, r20646, MPFR_RNDN);
        mpfr_sub(r20648, r20642, r20647, MPFR_RNDN);
        mpfr_div(r20649, r20643, r20645, MPFR_RNDN);
        mpfr_pow(r20650, r20649, r20637, MPFR_RNDN);
        mpfr_mul(r20651, r20638, r20650, MPFR_RNDN);
        mpfr_set_d(r20652, U_, MPFR_RNDN);
        mpfr_sub(r20653, r20640, r20652, MPFR_RNDN);
        mpfr_mul(r20654, r20651, r20653, MPFR_RNDN);
        mpfr_sub(r20655, r20648, r20654, MPFR_RNDN);
        mpfr_mul(r20656, r20641, r20655, MPFR_RNDN);
        mpfr_sqrt(r20657, r20656, MPFR_RNDN);
        return mpfr_get_d(r20657, MPFR_RNDN);
}

static mpfr_t r20658, r20659, r20660, r20661, r20662, r20663, r20664, r20665, r20666, r20667, r20668, r20669, r20670, r20671, r20672, r20673, r20674, r20675, r20676, r20677, r20678, r20679, r20680, r20681, r20682, r20683, r20684, r20685, r20686, r20687, r20688, r20689, r20690, r20691, r20692, r20693, r20694;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20658);
        mpfr_init_set_str(r20659, "-9.6558610117101e+96", 10, MPFR_RNDN);
        mpfr_init(r20660);
        mpfr_init_set_str(r20661, "2", 10, MPFR_RNDN);
        mpfr_init(r20662);
        mpfr_init(r20663);
        mpfr_init(r20664);
        mpfr_init(r20665);
        mpfr_init(r20666);
        mpfr_init(r20667);
        mpfr_init(r20668);
        mpfr_init(r20669);
        mpfr_init(r20670);
        mpfr_init(r20671);
        mpfr_init(r20672);
        mpfr_init(r20673);
        mpfr_init(r20674);
        mpfr_init(r20675);
        mpfr_init(r20676);
        mpfr_init(r20677);
        mpfr_init(r20678);
        mpfr_init(r20679);
        mpfr_init(r20680);
        mpfr_init(r20681);
        mpfr_init(r20682);
        mpfr_init(r20683);
        mpfr_init_set_str(r20684, "3.742916867472194e+65", 10, MPFR_RNDN);
        mpfr_init(r20685);
        mpfr_init(r20686);
        mpfr_init(r20687);
        mpfr_init(r20688);
        mpfr_init(r20689);
        mpfr_init(r20690);
        mpfr_init(r20691);
        mpfr_init(r20692);
        mpfr_init(r20693);
        mpfr_init(r20694);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20658, U, MPFR_RNDN);
        ;
        mpfr_set_si(r20660, mpfr_cmp(r20658, r20659) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20662, n, MPFR_RNDN);
        mpfr_mul(r20663, r20661, r20662, MPFR_RNDN);
        mpfr_mul(r20664, r20663, r20658, MPFR_RNDN);
        mpfr_set_d(r20665, t, MPFR_RNDN);
        mpfr_set_d(r20666, l, MPFR_RNDN);
        mpfr_set_d(r20667, Om, MPFR_RNDN);
        mpfr_div(r20668, r20667, r20666, MPFR_RNDN);
        mpfr_div(r20669, r20666, r20668, MPFR_RNDN);
        mpfr_mul(r20670, r20661, r20669, MPFR_RNDN);
        mpfr_sub(r20671, r20665, r20670, MPFR_RNDN);
        mpfr_div(r20672, r20666, r20667, MPFR_RNDN);
        mpfr_pow(r20673, r20672, r20661, MPFR_RNDN);
        mpfr_mul(r20674, r20662, r20673, MPFR_RNDN);
        mpfr_set_d(r20675, U_, MPFR_RNDN);
        mpfr_sub(r20676, r20658, r20675, MPFR_RNDN);
        mpfr_mul(r20677, r20674, r20676, MPFR_RNDN);
        mpfr_sub(r20678, r20671, r20677, MPFR_RNDN);
        mpfr_mul(r20679, r20664, r20678, MPFR_RNDN);
        mpfr_sqrt(r20680, r20679, MPFR_RNDN);
        mpfr_cbrt(r20681, r20680, MPFR_RNDN);
        mpfr_mul(r20682, r20681, r20681, MPFR_RNDN);
        mpfr_mul(r20683, r20682, r20681, MPFR_RNDN);
        ;
        mpfr_set_si(r20685, mpfr_cmp(r20658, r20684) <= 0, MPFR_RNDN);
        mpfr_mul(r20686, r20662, r20672, MPFR_RNDN);
        mpfr_mul(r20687, r20672, r20676, MPFR_RNDN);
        mpfr_mul(r20688, r20686, r20687, MPFR_RNDN);
        mpfr_sub(r20689, r20671, r20688, MPFR_RNDN);
        mpfr_mul(r20690, r20658, r20689, MPFR_RNDN);
        mpfr_mul(r20691, r20663, r20690, MPFR_RNDN);
        mpfr_sqrt(r20692, r20691, MPFR_RNDN);
        if (mpfr_get_si(r20685, MPFR_RNDN)) { mpfr_set(r20693, r20692, MPFR_RNDN); } else { mpfr_set(r20693, r20683, MPFR_RNDN); };
        if (mpfr_get_si(r20660, MPFR_RNDN)) { mpfr_set(r20694, r20683, MPFR_RNDN); } else { mpfr_set(r20694, r20693, MPFR_RNDN); };
        return mpfr_get_d(r20694, MPFR_RNDN);
}

static mpfr_t r20695, r20696, r20697, r20698, r20699, r20700, r20701, r20702, r20703, r20704, r20705, r20706, r20707, r20708, r20709, r20710, r20711, r20712, r20713, r20714, r20715, r20716, r20717, r20718, r20719, r20720, r20721, r20722, r20723, r20724, r20725, r20726, r20727, r20728, r20729, r20730, r20731;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20695);
        mpfr_init_set_str(r20696, "-9.6558610117101e+96", 10, MPFR_RNDN);
        mpfr_init(r20697);
        mpfr_init_set_str(r20698, "2", 10, MPFR_RNDN);
        mpfr_init(r20699);
        mpfr_init(r20700);
        mpfr_init(r20701);
        mpfr_init(r20702);
        mpfr_init(r20703);
        mpfr_init(r20704);
        mpfr_init(r20705);
        mpfr_init(r20706);
        mpfr_init(r20707);
        mpfr_init(r20708);
        mpfr_init(r20709);
        mpfr_init(r20710);
        mpfr_init(r20711);
        mpfr_init(r20712);
        mpfr_init(r20713);
        mpfr_init(r20714);
        mpfr_init(r20715);
        mpfr_init(r20716);
        mpfr_init(r20717);
        mpfr_init(r20718);
        mpfr_init(r20719);
        mpfr_init(r20720);
        mpfr_init_set_str(r20721, "3.742916867472194e+65", 10, MPFR_RNDN);
        mpfr_init(r20722);
        mpfr_init(r20723);
        mpfr_init(r20724);
        mpfr_init(r20725);
        mpfr_init(r20726);
        mpfr_init(r20727);
        mpfr_init(r20728);
        mpfr_init(r20729);
        mpfr_init(r20730);
        mpfr_init(r20731);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r20695, U, MPFR_RNDN);
        ;
        mpfr_set_si(r20697, mpfr_cmp(r20695, r20696) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r20699, n, MPFR_RNDN);
        mpfr_mul(r20700, r20698, r20699, MPFR_RNDN);
        mpfr_mul(r20701, r20700, r20695, MPFR_RNDN);
        mpfr_set_d(r20702, t, MPFR_RNDN);
        mpfr_set_d(r20703, l, MPFR_RNDN);
        mpfr_set_d(r20704, Om, MPFR_RNDN);
        mpfr_div(r20705, r20704, r20703, MPFR_RNDN);
        mpfr_div(r20706, r20703, r20705, MPFR_RNDN);
        mpfr_mul(r20707, r20698, r20706, MPFR_RNDN);
        mpfr_sub(r20708, r20702, r20707, MPFR_RNDN);
        mpfr_div(r20709, r20703, r20704, MPFR_RNDN);
        mpfr_pow(r20710, r20709, r20698, MPFR_RNDN);
        mpfr_mul(r20711, r20699, r20710, MPFR_RNDN);
        mpfr_set_d(r20712, U_, MPFR_RNDN);
        mpfr_sub(r20713, r20695, r20712, MPFR_RNDN);
        mpfr_mul(r20714, r20711, r20713, MPFR_RNDN);
        mpfr_sub(r20715, r20708, r20714, MPFR_RNDN);
        mpfr_mul(r20716, r20701, r20715, MPFR_RNDN);
        mpfr_sqrt(r20717, r20716, MPFR_RNDN);
        mpfr_cbrt(r20718, r20717, MPFR_RNDN);
        mpfr_mul(r20719, r20718, r20718, MPFR_RNDN);
        mpfr_mul(r20720, r20719, r20718, MPFR_RNDN);
        ;
        mpfr_set_si(r20722, mpfr_cmp(r20695, r20721) <= 0, MPFR_RNDN);
        mpfr_mul(r20723, r20699, r20709, MPFR_RNDN);
        mpfr_mul(r20724, r20709, r20713, MPFR_RNDN);
        mpfr_mul(r20725, r20723, r20724, MPFR_RNDN);
        mpfr_sub(r20726, r20708, r20725, MPFR_RNDN);
        mpfr_mul(r20727, r20695, r20726, MPFR_RNDN);
        mpfr_mul(r20728, r20700, r20727, MPFR_RNDN);
        mpfr_sqrt(r20729, r20728, MPFR_RNDN);
        if (mpfr_get_si(r20722, MPFR_RNDN)) { mpfr_set(r20730, r20729, MPFR_RNDN); } else { mpfr_set(r20730, r20720, MPFR_RNDN); };
        if (mpfr_get_si(r20697, MPFR_RNDN)) { mpfr_set(r20731, r20720, MPFR_RNDN); } else { mpfr_set(r20731, r20730, MPFR_RNDN); };
        return mpfr_get_d(r20731, MPFR_RNDN);
}

