#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 r15506 = 2.0f;
        float r15507 = n;
        float r15508 = r15506 * r15507;
        float r15509 = U;
        float r15510 = r15508 * r15509;
        float r15511 = t;
        float r15512 = l;
        float r15513 = r15512 * r15512;
        float r15514 = Om;
        float r15515 = r15513 / r15514;
        float r15516 = r15506 * r15515;
        float r15517 = r15511 - r15516;
        float r15518 = r15512 / r15514;
        float r15519 = r15518 * r15518;
        float r15520 = r15507 * r15519;
        float r15521 = U_;
        float r15522 = r15509 - r15521;
        float r15523 = r15520 * r15522;
        float r15524 = r15517 - r15523;
        float r15525 = r15510 * r15524;
        float r15526 = sqrt(r15525);
        return r15526;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15527 = 2.0;
        double r15528 = n;
        double r15529 = r15527 * r15528;
        double r15530 = U;
        double r15531 = r15529 * r15530;
        double r15532 = t;
        double r15533 = l;
        double r15534 = r15533 * r15533;
        double r15535 = Om;
        double r15536 = r15534 / r15535;
        double r15537 = r15527 * r15536;
        double r15538 = r15532 - r15537;
        double r15539 = r15533 / r15535;
        double r15540 = r15539 * r15539;
        double r15541 = r15528 * r15540;
        double r15542 = U_;
        double r15543 = r15530 - r15542;
        double r15544 = r15541 * r15543;
        double r15545 = r15538 - r15544;
        double r15546 = r15531 * r15545;
        double r15547 = sqrt(r15546);
        return r15547;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15548 = t;
        float r15549 = 2.0f;
        float r15550 = l;
        float r15551 = r15549 * r15550;
        float r15552 = Om;
        float r15553 = r15552 / r15550;
        float r15554 = r15551 / r15553;
        float r15555 = r15548 - r15554;
        float r15556 = r15550 / r15552;
        float r15557 = n;
        float r15558 = r15556 * r15557;
        float r15559 = U;
        float r15560 = U_;
        float r15561 = r15559 - r15560;
        float r15562 = r15561 * r15556;
        float r15563 = r15558 * r15562;
        float r15564 = r15555 - r15563;
        float r15565 = r15559 * r15557;
        float r15566 = r15565 * r15549;
        float r15567 = r15564 * r15566;
        float r15568 = sqrt(r15567);
        return r15568;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15569 = t;
        double r15570 = 2.0;
        double r15571 = l;
        double r15572 = r15570 * r15571;
        double r15573 = Om;
        double r15574 = r15573 / r15571;
        double r15575 = r15572 / r15574;
        double r15576 = r15569 - r15575;
        double r15577 = r15571 / r15573;
        double r15578 = n;
        double r15579 = r15577 * r15578;
        double r15580 = U;
        double r15581 = U_;
        double r15582 = r15580 - r15581;
        double r15583 = r15582 * r15577;
        double r15584 = r15579 * r15583;
        double r15585 = r15576 - r15584;
        double r15586 = r15580 * r15578;
        double r15587 = r15586 * r15570;
        double r15588 = r15585 * r15587;
        double r15589 = sqrt(r15588);
        return r15589;
}

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 r15590, r15591, r15592, r15593, r15594, r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15590, "2", 10, MPFR_RNDN);
        mpfr_init(r15591);
        mpfr_init(r15592);
        mpfr_init(r15593);
        mpfr_init(r15594);
        mpfr_init(r15595);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15591, n, MPFR_RNDN);
        mpfr_mul(r15592, r15590, r15591, MPFR_RNDN);
        mpfr_set_d(r15593, U, MPFR_RNDN);
        mpfr_mul(r15594, r15592, r15593, MPFR_RNDN);
        mpfr_set_d(r15595, t, MPFR_RNDN);
        mpfr_set_d(r15596, l, MPFR_RNDN);
        mpfr_sqr(r15597, r15596, MPFR_RNDN);
        mpfr_set_d(r15598, Om, MPFR_RNDN);
        mpfr_div(r15599, r15597, r15598, MPFR_RNDN);
        mpfr_mul(r15600, r15590, r15599, MPFR_RNDN);
        mpfr_sub(r15601, r15595, r15600, MPFR_RNDN);
        mpfr_div(r15602, r15596, r15598, MPFR_RNDN);
        mpfr_sqr(r15603, r15602, MPFR_RNDN);
        mpfr_mul(r15604, r15591, r15603, MPFR_RNDN);
        mpfr_set_d(r15605, U_, MPFR_RNDN);
        mpfr_sub(r15606, r15593, r15605, MPFR_RNDN);
        mpfr_mul(r15607, r15604, r15606, MPFR_RNDN);
        mpfr_sub(r15608, r15601, r15607, MPFR_RNDN);
        mpfr_mul(r15609, r15594, r15608, MPFR_RNDN);
        mpfr_sqrt(r15610, r15609, MPFR_RNDN);
        return mpfr_get_d(r15610, MPFR_RNDN);
}

static mpfr_t r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15611);
        mpfr_init_set_str(r15612, "2", 10, MPFR_RNDN);
        mpfr_init(r15613);
        mpfr_init(r15614);
        mpfr_init(r15615);
        mpfr_init(r15616);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15611, t, MPFR_RNDN);
        ;
        mpfr_set_d(r15613, l, MPFR_RNDN);
        mpfr_mul(r15614, r15612, r15613, MPFR_RNDN);
        mpfr_set_d(r15615, Om, MPFR_RNDN);
        mpfr_div(r15616, r15615, r15613, MPFR_RNDN);
        mpfr_div(r15617, r15614, r15616, MPFR_RNDN);
        mpfr_sub(r15618, r15611, r15617, MPFR_RNDN);
        mpfr_div(r15619, r15613, r15615, MPFR_RNDN);
        mpfr_set_d(r15620, n, MPFR_RNDN);
        mpfr_mul(r15621, r15619, r15620, MPFR_RNDN);
        mpfr_set_d(r15622, U, MPFR_RNDN);
        mpfr_set_d(r15623, U_, MPFR_RNDN);
        mpfr_sub(r15624, r15622, r15623, MPFR_RNDN);
        mpfr_mul(r15625, r15624, r15619, MPFR_RNDN);
        mpfr_mul(r15626, r15621, r15625, MPFR_RNDN);
        mpfr_sub(r15627, r15618, r15626, MPFR_RNDN);
        mpfr_mul(r15628, r15622, r15620, MPFR_RNDN);
        mpfr_mul(r15629, r15628, r15612, MPFR_RNDN);
        mpfr_mul(r15630, r15627, r15629, MPFR_RNDN);
        mpfr_sqrt(r15631, r15630, MPFR_RNDN);
        return mpfr_get_d(r15631, MPFR_RNDN);
}

static mpfr_t r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15632);
        mpfr_init_set_str(r15633, "2", 10, MPFR_RNDN);
        mpfr_init(r15634);
        mpfr_init(r15635);
        mpfr_init(r15636);
        mpfr_init(r15637);
        mpfr_init(r15638);
        mpfr_init(r15639);
        mpfr_init(r15640);
        mpfr_init(r15641);
        mpfr_init(r15642);
        mpfr_init(r15643);
        mpfr_init(r15644);
        mpfr_init(r15645);
        mpfr_init(r15646);
        mpfr_init(r15647);
        mpfr_init(r15648);
        mpfr_init(r15649);
        mpfr_init(r15650);
        mpfr_init(r15651);
        mpfr_init(r15652);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15632, t, MPFR_RNDN);
        ;
        mpfr_set_d(r15634, l, MPFR_RNDN);
        mpfr_mul(r15635, r15633, r15634, MPFR_RNDN);
        mpfr_set_d(r15636, Om, MPFR_RNDN);
        mpfr_div(r15637, r15636, r15634, MPFR_RNDN);
        mpfr_div(r15638, r15635, r15637, MPFR_RNDN);
        mpfr_sub(r15639, r15632, r15638, MPFR_RNDN);
        mpfr_div(r15640, r15634, r15636, MPFR_RNDN);
        mpfr_set_d(r15641, n, MPFR_RNDN);
        mpfr_mul(r15642, r15640, r15641, MPFR_RNDN);
        mpfr_set_d(r15643, U, MPFR_RNDN);
        mpfr_set_d(r15644, U_, MPFR_RNDN);
        mpfr_sub(r15645, r15643, r15644, MPFR_RNDN);
        mpfr_mul(r15646, r15645, r15640, MPFR_RNDN);
        mpfr_mul(r15647, r15642, r15646, MPFR_RNDN);
        mpfr_sub(r15648, r15639, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15643, r15641, MPFR_RNDN);
        mpfr_mul(r15650, r15649, r15633, MPFR_RNDN);
        mpfr_mul(r15651, r15648, r15650, MPFR_RNDN);
        mpfr_sqrt(r15652, r15651, MPFR_RNDN);
        return mpfr_get_d(r15652, MPFR_RNDN);
}

