#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 r15498 = 2.0f;
        float r15499 = n;
        float r15500 = r15498 * r15499;
        float r15501 = U;
        float r15502 = r15500 * r15501;
        float r15503 = t;
        float r15504 = l;
        float r15505 = r15504 * r15504;
        float r15506 = Om;
        float r15507 = r15505 / r15506;
        float r15508 = r15498 * r15507;
        float r15509 = r15503 - r15508;
        float r15510 = r15504 / r15506;
        float r15511 = r15510 * r15510;
        float r15512 = r15499 * r15511;
        float r15513 = U_;
        float r15514 = r15501 - r15513;
        float r15515 = r15512 * r15514;
        float r15516 = r15509 - r15515;
        float r15517 = r15502 * r15516;
        float r15518 = sqrt(r15517);
        return r15518;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15519 = 2.0;
        double r15520 = n;
        double r15521 = r15519 * r15520;
        double r15522 = U;
        double r15523 = r15521 * r15522;
        double r15524 = t;
        double r15525 = l;
        double r15526 = r15525 * r15525;
        double r15527 = Om;
        double r15528 = r15526 / r15527;
        double r15529 = r15519 * r15528;
        double r15530 = r15524 - r15529;
        double r15531 = r15525 / r15527;
        double r15532 = r15531 * r15531;
        double r15533 = r15520 * r15532;
        double r15534 = U_;
        double r15535 = r15522 - r15534;
        double r15536 = r15533 * r15535;
        double r15537 = r15530 - r15536;
        double r15538 = r15523 * r15537;
        double r15539 = sqrt(r15538);
        return r15539;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15540 = 2.0f;
        float r15541 = n;
        float r15542 = r15540 * r15541;
        float r15543 = U;
        float r15544 = t;
        float r15545 = l;
        float r15546 = Om;
        float r15547 = r15546 / r15545;
        float r15548 = r15545 / r15547;
        float r15549 = r15540 * r15548;
        float r15550 = r15544 - r15549;
        float r15551 = r15545 / r15546;
        float r15552 = r15551 * r15551;
        float r15553 = r15541 * r15552;
        float r15554 = U_;
        float r15555 = r15543 - r15554;
        float r15556 = r15553 * r15555;
        float r15557 = r15550 - r15556;
        float r15558 = r15543 * r15557;
        float r15559 = r15542 * r15558;
        float r15560 = sqrt(r15559);
        return r15560;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15561 = 2.0;
        double r15562 = n;
        double r15563 = r15561 * r15562;
        double r15564 = U;
        double r15565 = t;
        double r15566 = l;
        double r15567 = Om;
        double r15568 = r15567 / r15566;
        double r15569 = r15566 / r15568;
        double r15570 = r15561 * r15569;
        double r15571 = r15565 - r15570;
        double r15572 = r15566 / r15567;
        double r15573 = r15572 * r15572;
        double r15574 = r15562 * r15573;
        double r15575 = U_;
        double r15576 = r15564 - r15575;
        double r15577 = r15574 * r15576;
        double r15578 = r15571 - r15577;
        double r15579 = r15564 * r15578;
        double r15580 = r15563 * r15579;
        double r15581 = sqrt(r15580);
        return r15581;
}

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 r15582, r15583, r15584, r15585, r15586, r15587, r15588, r15589, r15590, r15591, r15592, r15593, r15594, r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15582, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15595);
        mpfr_init(r15596);
        mpfr_init(r15597);
        mpfr_init(r15598);
        mpfr_init(r15599);
        mpfr_init(r15600);
        mpfr_init(r15601);
        mpfr_init(r15602);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15583, n, MPFR_RNDN);
        mpfr_mul(r15584, r15582, r15583, MPFR_RNDN);
        mpfr_set_d(r15585, U, MPFR_RNDN);
        mpfr_mul(r15586, r15584, r15585, MPFR_RNDN);
        mpfr_set_d(r15587, t, MPFR_RNDN);
        mpfr_set_d(r15588, l, MPFR_RNDN);
        mpfr_sqr(r15589, r15588, MPFR_RNDN);
        mpfr_set_d(r15590, Om, MPFR_RNDN);
        mpfr_div(r15591, r15589, r15590, MPFR_RNDN);
        mpfr_mul(r15592, r15582, r15591, MPFR_RNDN);
        mpfr_sub(r15593, r15587, r15592, MPFR_RNDN);
        mpfr_div(r15594, r15588, r15590, MPFR_RNDN);
        mpfr_sqr(r15595, r15594, MPFR_RNDN);
        mpfr_mul(r15596, r15583, r15595, MPFR_RNDN);
        mpfr_set_d(r15597, U_, MPFR_RNDN);
        mpfr_sub(r15598, r15585, r15597, MPFR_RNDN);
        mpfr_mul(r15599, r15596, r15598, MPFR_RNDN);
        mpfr_sub(r15600, r15593, r15599, MPFR_RNDN);
        mpfr_mul(r15601, r15586, r15600, MPFR_RNDN);
        mpfr_sqrt(r15602, r15601, MPFR_RNDN);
        return mpfr_get_d(r15602, MPFR_RNDN);
}

static mpfr_t r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15603, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15616);
        mpfr_init(r15617);
        mpfr_init(r15618);
        mpfr_init(r15619);
        mpfr_init(r15620);
        mpfr_init(r15621);
        mpfr_init(r15622);
        mpfr_init(r15623);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15604, n, MPFR_RNDN);
        mpfr_mul(r15605, r15603, r15604, MPFR_RNDN);
        mpfr_set_d(r15606, U, MPFR_RNDN);
        mpfr_set_d(r15607, t, MPFR_RNDN);
        mpfr_set_d(r15608, l, MPFR_RNDN);
        mpfr_set_d(r15609, Om, MPFR_RNDN);
        mpfr_div(r15610, r15609, r15608, MPFR_RNDN);
        mpfr_div(r15611, r15608, r15610, MPFR_RNDN);
        mpfr_mul(r15612, r15603, r15611, MPFR_RNDN);
        mpfr_sub(r15613, r15607, r15612, MPFR_RNDN);
        mpfr_div(r15614, r15608, r15609, MPFR_RNDN);
        mpfr_sqr(r15615, r15614, MPFR_RNDN);
        mpfr_mul(r15616, r15604, r15615, MPFR_RNDN);
        mpfr_set_d(r15617, U_, MPFR_RNDN);
        mpfr_sub(r15618, r15606, r15617, MPFR_RNDN);
        mpfr_mul(r15619, r15616, r15618, MPFR_RNDN);
        mpfr_sub(r15620, r15613, r15619, MPFR_RNDN);
        mpfr_mul(r15621, r15606, r15620, MPFR_RNDN);
        mpfr_mul(r15622, r15605, r15621, MPFR_RNDN);
        mpfr_sqrt(r15623, r15622, MPFR_RNDN);
        return mpfr_get_d(r15623, MPFR_RNDN);
}

static mpfr_t r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15624, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15637);
        mpfr_init(r15638);
        mpfr_init(r15639);
        mpfr_init(r15640);
        mpfr_init(r15641);
        mpfr_init(r15642);
        mpfr_init(r15643);
        mpfr_init(r15644);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15625, n, MPFR_RNDN);
        mpfr_mul(r15626, r15624, r15625, MPFR_RNDN);
        mpfr_set_d(r15627, U, MPFR_RNDN);
        mpfr_set_d(r15628, t, MPFR_RNDN);
        mpfr_set_d(r15629, l, MPFR_RNDN);
        mpfr_set_d(r15630, Om, MPFR_RNDN);
        mpfr_div(r15631, r15630, r15629, MPFR_RNDN);
        mpfr_div(r15632, r15629, r15631, MPFR_RNDN);
        mpfr_mul(r15633, r15624, r15632, MPFR_RNDN);
        mpfr_sub(r15634, r15628, r15633, MPFR_RNDN);
        mpfr_div(r15635, r15629, r15630, MPFR_RNDN);
        mpfr_sqr(r15636, r15635, MPFR_RNDN);
        mpfr_mul(r15637, r15625, r15636, MPFR_RNDN);
        mpfr_set_d(r15638, U_, MPFR_RNDN);
        mpfr_sub(r15639, r15627, r15638, MPFR_RNDN);
        mpfr_mul(r15640, r15637, r15639, MPFR_RNDN);
        mpfr_sub(r15641, r15634, r15640, MPFR_RNDN);
        mpfr_mul(r15642, r15627, r15641, MPFR_RNDN);
        mpfr_mul(r15643, r15626, r15642, MPFR_RNDN);
        mpfr_sqrt(r15644, r15643, MPFR_RNDN);
        return mpfr_get_d(r15644, MPFR_RNDN);
}

