#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 r15490 = 2.0f;
        float r15491 = n;
        float r15492 = r15490 * r15491;
        float r15493 = U;
        float r15494 = r15492 * r15493;
        float r15495 = t;
        float r15496 = l;
        float r15497 = r15496 * r15496;
        float r15498 = Om;
        float r15499 = r15497 / r15498;
        float r15500 = r15490 * r15499;
        float r15501 = r15495 - r15500;
        float r15502 = r15496 / r15498;
        float r15503 = r15502 * r15502;
        float r15504 = r15491 * r15503;
        float r15505 = U_;
        float r15506 = r15493 - r15505;
        float r15507 = r15504 * r15506;
        float r15508 = r15501 - r15507;
        float r15509 = r15494 * r15508;
        float r15510 = sqrt(r15509);
        return r15510;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15511 = 2.0;
        double r15512 = n;
        double r15513 = r15511 * r15512;
        double r15514 = U;
        double r15515 = r15513 * r15514;
        double r15516 = t;
        double r15517 = l;
        double r15518 = r15517 * r15517;
        double r15519 = Om;
        double r15520 = r15518 / r15519;
        double r15521 = r15511 * r15520;
        double r15522 = r15516 - r15521;
        double r15523 = r15517 / r15519;
        double r15524 = r15523 * r15523;
        double r15525 = r15512 * r15524;
        double r15526 = U_;
        double r15527 = r15514 - r15526;
        double r15528 = r15525 * r15527;
        double r15529 = r15522 - r15528;
        double r15530 = r15515 * r15529;
        double r15531 = sqrt(r15530);
        return r15531;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15532 = 2.0f;
        float r15533 = n;
        float r15534 = r15532 * r15533;
        float r15535 = U;
        float r15536 = r15534 * r15535;
        float r15537 = t;
        float r15538 = l;
        float r15539 = Om;
        float r15540 = r15539 / r15538;
        float r15541 = r15538 / r15540;
        float r15542 = r15532 * r15541;
        float r15543 = r15537 - r15542;
        float r15544 = r15538 / r15539;
        float r15545 = r15544 * r15544;
        float r15546 = r15533 * r15545;
        float r15547 = U_;
        float r15548 = r15535 - r15547;
        float r15549 = r15546 * r15548;
        float r15550 = r15543 - r15549;
        float r15551 = r15536 * r15550;
        float r15552 = sqrt(r15551);
        return r15552;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15553 = 2.0;
        double r15554 = n;
        double r15555 = r15553 * r15554;
        double r15556 = U;
        double r15557 = r15555 * r15556;
        double r15558 = t;
        double r15559 = l;
        double r15560 = Om;
        double r15561 = r15560 / r15559;
        double r15562 = r15559 / r15561;
        double r15563 = r15553 * r15562;
        double r15564 = r15558 - r15563;
        double r15565 = r15559 / r15560;
        double r15566 = r15565 * r15565;
        double r15567 = r15554 * r15566;
        double r15568 = U_;
        double r15569 = r15556 - r15568;
        double r15570 = r15567 * r15569;
        double r15571 = r15564 - r15570;
        double r15572 = r15557 * r15571;
        double r15573 = sqrt(r15572);
        return r15573;
}

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 r15574, r15575, r15576, r15577, r15578, r15579, r15580, r15581, r15582, r15583, r15584, r15585, r15586, r15587, r15588, r15589, r15590, r15591, r15592, r15593, r15594;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15574, "2", 10, MPFR_RNDN);
        mpfr_init(r15575);
        mpfr_init(r15576);
        mpfr_init(r15577);
        mpfr_init(r15578);
        mpfr_init(r15579);
        mpfr_init(r15580);
        mpfr_init(r15581);
        mpfr_init(r15582);
        mpfr_init(r15583);
        mpfr_init(r15584);
        mpfr_init(r15585);
        mpfr_init(r15586);
        mpfr_init(r15587);
        mpfr_init(r15588);
        mpfr_init(r15589);
        mpfr_init(r15590);
        mpfr_init(r15591);
        mpfr_init(r15592);
        mpfr_init(r15593);
        mpfr_init(r15594);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15575, n, MPFR_RNDN);
        mpfr_mul(r15576, r15574, r15575, MPFR_RNDN);
        mpfr_set_d(r15577, U, MPFR_RNDN);
        mpfr_mul(r15578, r15576, r15577, MPFR_RNDN);
        mpfr_set_d(r15579, t, MPFR_RNDN);
        mpfr_set_d(r15580, l, MPFR_RNDN);
        mpfr_sqr(r15581, r15580, MPFR_RNDN);
        mpfr_set_d(r15582, Om, MPFR_RNDN);
        mpfr_div(r15583, r15581, r15582, MPFR_RNDN);
        mpfr_mul(r15584, r15574, r15583, MPFR_RNDN);
        mpfr_sub(r15585, r15579, r15584, MPFR_RNDN);
        mpfr_div(r15586, r15580, r15582, MPFR_RNDN);
        mpfr_sqr(r15587, r15586, MPFR_RNDN);
        mpfr_mul(r15588, r15575, r15587, MPFR_RNDN);
        mpfr_set_d(r15589, U_, MPFR_RNDN);
        mpfr_sub(r15590, r15577, r15589, MPFR_RNDN);
        mpfr_mul(r15591, r15588, r15590, MPFR_RNDN);
        mpfr_sub(r15592, r15585, r15591, MPFR_RNDN);
        mpfr_mul(r15593, r15578, r15592, MPFR_RNDN);
        mpfr_sqrt(r15594, r15593, MPFR_RNDN);
        return mpfr_get_d(r15594, MPFR_RNDN);
}

static mpfr_t r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15595, "2", 10, MPFR_RNDN);
        mpfr_init(r15596);
        mpfr_init(r15597);
        mpfr_init(r15598);
        mpfr_init(r15599);
        mpfr_init(r15600);
        mpfr_init(r15601);
        mpfr_init(r15602);
        mpfr_init(r15603);
        mpfr_init(r15604);
        mpfr_init(r15605);
        mpfr_init(r15606);
        mpfr_init(r15607);
        mpfr_init(r15608);
        mpfr_init(r15609);
        mpfr_init(r15610);
        mpfr_init(r15611);
        mpfr_init(r15612);
        mpfr_init(r15613);
        mpfr_init(r15614);
        mpfr_init(r15615);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15596, n, MPFR_RNDN);
        mpfr_mul(r15597, r15595, r15596, MPFR_RNDN);
        mpfr_set_d(r15598, U, MPFR_RNDN);
        mpfr_mul(r15599, r15597, r15598, MPFR_RNDN);
        mpfr_set_d(r15600, t, MPFR_RNDN);
        mpfr_set_d(r15601, l, MPFR_RNDN);
        mpfr_set_d(r15602, Om, MPFR_RNDN);
        mpfr_div(r15603, r15602, r15601, MPFR_RNDN);
        mpfr_div(r15604, r15601, r15603, MPFR_RNDN);
        mpfr_mul(r15605, r15595, r15604, MPFR_RNDN);
        mpfr_sub(r15606, r15600, r15605, MPFR_RNDN);
        mpfr_div(r15607, r15601, r15602, MPFR_RNDN);
        mpfr_sqr(r15608, r15607, MPFR_RNDN);
        mpfr_mul(r15609, r15596, r15608, MPFR_RNDN);
        mpfr_set_d(r15610, U_, MPFR_RNDN);
        mpfr_sub(r15611, r15598, r15610, MPFR_RNDN);
        mpfr_mul(r15612, r15609, r15611, MPFR_RNDN);
        mpfr_sub(r15613, r15606, r15612, MPFR_RNDN);
        mpfr_mul(r15614, r15599, r15613, MPFR_RNDN);
        mpfr_sqrt(r15615, r15614, MPFR_RNDN);
        return mpfr_get_d(r15615, MPFR_RNDN);
}

static mpfr_t r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15616, "2", 10, MPFR_RNDN);
        mpfr_init(r15617);
        mpfr_init(r15618);
        mpfr_init(r15619);
        mpfr_init(r15620);
        mpfr_init(r15621);
        mpfr_init(r15622);
        mpfr_init(r15623);
        mpfr_init(r15624);
        mpfr_init(r15625);
        mpfr_init(r15626);
        mpfr_init(r15627);
        mpfr_init(r15628);
        mpfr_init(r15629);
        mpfr_init(r15630);
        mpfr_init(r15631);
        mpfr_init(r15632);
        mpfr_init(r15633);
        mpfr_init(r15634);
        mpfr_init(r15635);
        mpfr_init(r15636);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15617, n, MPFR_RNDN);
        mpfr_mul(r15618, r15616, r15617, MPFR_RNDN);
        mpfr_set_d(r15619, U, MPFR_RNDN);
        mpfr_mul(r15620, r15618, r15619, MPFR_RNDN);
        mpfr_set_d(r15621, t, MPFR_RNDN);
        mpfr_set_d(r15622, l, MPFR_RNDN);
        mpfr_set_d(r15623, Om, MPFR_RNDN);
        mpfr_div(r15624, r15623, r15622, MPFR_RNDN);
        mpfr_div(r15625, r15622, r15624, MPFR_RNDN);
        mpfr_mul(r15626, r15616, r15625, MPFR_RNDN);
        mpfr_sub(r15627, r15621, r15626, MPFR_RNDN);
        mpfr_div(r15628, r15622, r15623, MPFR_RNDN);
        mpfr_sqr(r15629, r15628, MPFR_RNDN);
        mpfr_mul(r15630, r15617, r15629, MPFR_RNDN);
        mpfr_set_d(r15631, U_, MPFR_RNDN);
        mpfr_sub(r15632, r15619, r15631, MPFR_RNDN);
        mpfr_mul(r15633, r15630, r15632, MPFR_RNDN);
        mpfr_sub(r15634, r15627, r15633, MPFR_RNDN);
        mpfr_mul(r15635, r15620, r15634, MPFR_RNDN);
        mpfr_sqrt(r15636, r15635, MPFR_RNDN);
        return mpfr_get_d(r15636, MPFR_RNDN);
}

