#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 r15494 = 2.0f;
        float r15495 = n;
        float r15496 = r15494 * r15495;
        float r15497 = U;
        float r15498 = r15496 * r15497;
        float r15499 = t;
        float r15500 = l;
        float r15501 = r15500 * r15500;
        float r15502 = Om;
        float r15503 = r15501 / r15502;
        float r15504 = r15494 * r15503;
        float r15505 = r15499 - r15504;
        float r15506 = r15500 / r15502;
        float r15507 = r15506 * r15506;
        float r15508 = r15495 * r15507;
        float r15509 = U_;
        float r15510 = r15497 - r15509;
        float r15511 = r15508 * r15510;
        float r15512 = r15505 - r15511;
        float r15513 = r15498 * r15512;
        float r15514 = sqrt(r15513);
        return r15514;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15515 = 2.0;
        double r15516 = n;
        double r15517 = r15515 * r15516;
        double r15518 = U;
        double r15519 = r15517 * r15518;
        double r15520 = t;
        double r15521 = l;
        double r15522 = r15521 * r15521;
        double r15523 = Om;
        double r15524 = r15522 / r15523;
        double r15525 = r15515 * r15524;
        double r15526 = r15520 - r15525;
        double r15527 = r15521 / r15523;
        double r15528 = r15527 * r15527;
        double r15529 = r15516 * r15528;
        double r15530 = U_;
        double r15531 = r15518 - r15530;
        double r15532 = r15529 * r15531;
        double r15533 = r15526 - r15532;
        double r15534 = r15519 * r15533;
        double r15535 = sqrt(r15534);
        return r15535;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15536 = 2.0f;
        float r15537 = n;
        float r15538 = r15536 * r15537;
        float r15539 = U;
        float r15540 = t;
        float r15541 = l;
        float r15542 = Om;
        float r15543 = r15542 / r15541;
        float r15544 = r15541 / r15543;
        float r15545 = r15536 * r15544;
        float r15546 = r15540 - r15545;
        float r15547 = r15541 / r15542;
        float r15548 = r15547 * r15547;
        float r15549 = r15537 * r15548;
        float r15550 = U_;
        float r15551 = r15539 - r15550;
        float r15552 = r15549 * r15551;
        float r15553 = r15546 - r15552;
        float r15554 = r15539 * r15553;
        float r15555 = r15538 * r15554;
        float r15556 = sqrt(r15555);
        return r15556;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15557 = 2.0;
        double r15558 = n;
        double r15559 = r15557 * r15558;
        double r15560 = U;
        double r15561 = t;
        double r15562 = l;
        double r15563 = Om;
        double r15564 = r15563 / r15562;
        double r15565 = r15562 / r15564;
        double r15566 = r15557 * r15565;
        double r15567 = r15561 - r15566;
        double r15568 = r15562 / r15563;
        double r15569 = r15568 * r15568;
        double r15570 = r15558 * r15569;
        double r15571 = U_;
        double r15572 = r15560 - r15571;
        double r15573 = r15570 * r15572;
        double r15574 = r15567 - r15573;
        double r15575 = r15560 * r15574;
        double r15576 = r15559 * r15575;
        double r15577 = sqrt(r15576);
        return r15577;
}

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 r15578, r15579, r15580, r15581, r15582, r15583, r15584, r15585, r15586, r15587, r15588, r15589, r15590, r15591, r15592, r15593, r15594, r15595, r15596, r15597, r15598;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15578, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15595);
        mpfr_init(r15596);
        mpfr_init(r15597);
        mpfr_init(r15598);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15579, n, MPFR_RNDN);
        mpfr_mul(r15580, r15578, r15579, MPFR_RNDN);
        mpfr_set_d(r15581, U, MPFR_RNDN);
        mpfr_mul(r15582, r15580, r15581, MPFR_RNDN);
        mpfr_set_d(r15583, t, MPFR_RNDN);
        mpfr_set_d(r15584, l, MPFR_RNDN);
        mpfr_sqr(r15585, r15584, MPFR_RNDN);
        mpfr_set_d(r15586, Om, MPFR_RNDN);
        mpfr_div(r15587, r15585, r15586, MPFR_RNDN);
        mpfr_mul(r15588, r15578, r15587, MPFR_RNDN);
        mpfr_sub(r15589, r15583, r15588, MPFR_RNDN);
        mpfr_div(r15590, r15584, r15586, MPFR_RNDN);
        mpfr_sqr(r15591, r15590, MPFR_RNDN);
        mpfr_mul(r15592, r15579, r15591, MPFR_RNDN);
        mpfr_set_d(r15593, U_, MPFR_RNDN);
        mpfr_sub(r15594, r15581, r15593, MPFR_RNDN);
        mpfr_mul(r15595, r15592, r15594, MPFR_RNDN);
        mpfr_sub(r15596, r15589, r15595, MPFR_RNDN);
        mpfr_mul(r15597, r15582, r15596, MPFR_RNDN);
        mpfr_sqrt(r15598, r15597, MPFR_RNDN);
        return mpfr_get_d(r15598, MPFR_RNDN);
}

static mpfr_t r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15599, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15616);
        mpfr_init(r15617);
        mpfr_init(r15618);
        mpfr_init(r15619);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15600, n, MPFR_RNDN);
        mpfr_mul(r15601, r15599, r15600, MPFR_RNDN);
        mpfr_set_d(r15602, U, MPFR_RNDN);
        mpfr_set_d(r15603, t, MPFR_RNDN);
        mpfr_set_d(r15604, l, MPFR_RNDN);
        mpfr_set_d(r15605, Om, MPFR_RNDN);
        mpfr_div(r15606, r15605, r15604, MPFR_RNDN);
        mpfr_div(r15607, r15604, r15606, MPFR_RNDN);
        mpfr_mul(r15608, r15599, r15607, MPFR_RNDN);
        mpfr_sub(r15609, r15603, r15608, MPFR_RNDN);
        mpfr_div(r15610, r15604, r15605, MPFR_RNDN);
        mpfr_sqr(r15611, r15610, MPFR_RNDN);
        mpfr_mul(r15612, r15600, r15611, MPFR_RNDN);
        mpfr_set_d(r15613, U_, MPFR_RNDN);
        mpfr_sub(r15614, r15602, r15613, MPFR_RNDN);
        mpfr_mul(r15615, r15612, r15614, MPFR_RNDN);
        mpfr_sub(r15616, r15609, r15615, MPFR_RNDN);
        mpfr_mul(r15617, r15602, r15616, MPFR_RNDN);
        mpfr_mul(r15618, r15601, r15617, MPFR_RNDN);
        mpfr_sqrt(r15619, r15618, MPFR_RNDN);
        return mpfr_get_d(r15619, MPFR_RNDN);
}

static mpfr_t r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15620, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15637);
        mpfr_init(r15638);
        mpfr_init(r15639);
        mpfr_init(r15640);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15621, n, MPFR_RNDN);
        mpfr_mul(r15622, r15620, r15621, MPFR_RNDN);
        mpfr_set_d(r15623, U, MPFR_RNDN);
        mpfr_set_d(r15624, t, MPFR_RNDN);
        mpfr_set_d(r15625, l, MPFR_RNDN);
        mpfr_set_d(r15626, Om, MPFR_RNDN);
        mpfr_div(r15627, r15626, r15625, MPFR_RNDN);
        mpfr_div(r15628, r15625, r15627, MPFR_RNDN);
        mpfr_mul(r15629, r15620, r15628, MPFR_RNDN);
        mpfr_sub(r15630, r15624, r15629, MPFR_RNDN);
        mpfr_div(r15631, r15625, r15626, MPFR_RNDN);
        mpfr_sqr(r15632, r15631, MPFR_RNDN);
        mpfr_mul(r15633, r15621, r15632, MPFR_RNDN);
        mpfr_set_d(r15634, U_, MPFR_RNDN);
        mpfr_sub(r15635, r15623, r15634, MPFR_RNDN);
        mpfr_mul(r15636, r15633, r15635, MPFR_RNDN);
        mpfr_sub(r15637, r15630, r15636, MPFR_RNDN);
        mpfr_mul(r15638, r15623, r15637, MPFR_RNDN);
        mpfr_mul(r15639, r15622, r15638, MPFR_RNDN);
        mpfr_sqrt(r15640, r15639, MPFR_RNDN);
        return mpfr_get_d(r15640, MPFR_RNDN);
}

