#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 = 2.0f;
        float r15549 = n;
        float r15550 = r15548 * r15549;
        float r15551 = U;
        float r15552 = r15550 * r15551;
        float r15553 = t;
        float r15554 = l;
        float r15555 = Om;
        float r15556 = r15555 / r15554;
        float r15557 = r15554 / r15556;
        float r15558 = r15548 * r15557;
        float r15559 = r15553 - r15558;
        float r15560 = r15554 / r15555;
        float r15561 = r15560 * r15560;
        float r15562 = r15549 * r15561;
        float r15563 = 1.0f;
        float r15564 = pow(r15562, r15563);
        float r15565 = U_;
        float r15566 = r15551 - r15565;
        float r15567 = r15564 * r15566;
        float r15568 = r15559 - r15567;
        float r15569 = r15552 * r15568;
        float r15570 = sqrt(r15569);
        return r15570;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15571 = 2.0;
        double r15572 = n;
        double r15573 = r15571 * r15572;
        double r15574 = U;
        double r15575 = r15573 * r15574;
        double r15576 = t;
        double r15577 = l;
        double r15578 = Om;
        double r15579 = r15578 / r15577;
        double r15580 = r15577 / r15579;
        double r15581 = r15571 * r15580;
        double r15582 = r15576 - r15581;
        double r15583 = r15577 / r15578;
        double r15584 = r15583 * r15583;
        double r15585 = r15572 * r15584;
        double r15586 = 1.0;
        double r15587 = pow(r15585, r15586);
        double r15588 = U_;
        double r15589 = r15574 - r15588;
        double r15590 = r15587 * r15589;
        double r15591 = r15582 - r15590;
        double r15592 = r15575 * r15591;
        double r15593 = sqrt(r15592);
        return r15593;
}

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 r15594, r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15594, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15611);
        mpfr_init(r15612);
        mpfr_init(r15613);
        mpfr_init(r15614);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15595, n, MPFR_RNDN);
        mpfr_mul(r15596, r15594, r15595, MPFR_RNDN);
        mpfr_set_d(r15597, U, MPFR_RNDN);
        mpfr_mul(r15598, r15596, r15597, MPFR_RNDN);
        mpfr_set_d(r15599, t, MPFR_RNDN);
        mpfr_set_d(r15600, l, MPFR_RNDN);
        mpfr_sqr(r15601, r15600, MPFR_RNDN);
        mpfr_set_d(r15602, Om, MPFR_RNDN);
        mpfr_div(r15603, r15601, r15602, MPFR_RNDN);
        mpfr_mul(r15604, r15594, r15603, MPFR_RNDN);
        mpfr_sub(r15605, r15599, r15604, MPFR_RNDN);
        mpfr_div(r15606, r15600, r15602, MPFR_RNDN);
        mpfr_sqr(r15607, r15606, MPFR_RNDN);
        mpfr_mul(r15608, r15595, r15607, MPFR_RNDN);
        mpfr_set_d(r15609, U_, MPFR_RNDN);
        mpfr_sub(r15610, r15597, r15609, MPFR_RNDN);
        mpfr_mul(r15611, r15608, r15610, MPFR_RNDN);
        mpfr_sub(r15612, r15605, r15611, MPFR_RNDN);
        mpfr_mul(r15613, r15598, r15612, MPFR_RNDN);
        mpfr_sqrt(r15614, r15613, MPFR_RNDN);
        return mpfr_get_d(r15614, MPFR_RNDN);
}

static mpfr_t r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15615, "2", 10, MPFR_RNDN);
        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_set_str(r15630, "1", 10, MPFR_RNDN);
        mpfr_init(r15631);
        mpfr_init(r15632);
        mpfr_init(r15633);
        mpfr_init(r15634);
        mpfr_init(r15635);
        mpfr_init(r15636);
        mpfr_init(r15637);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15616, n, MPFR_RNDN);
        mpfr_mul(r15617, r15615, r15616, MPFR_RNDN);
        mpfr_set_d(r15618, U, MPFR_RNDN);
        mpfr_mul(r15619, r15617, r15618, MPFR_RNDN);
        mpfr_set_d(r15620, t, MPFR_RNDN);
        mpfr_set_d(r15621, l, MPFR_RNDN);
        mpfr_set_d(r15622, Om, MPFR_RNDN);
        mpfr_div(r15623, r15622, r15621, MPFR_RNDN);
        mpfr_div(r15624, r15621, r15623, MPFR_RNDN);
        mpfr_mul(r15625, r15615, r15624, MPFR_RNDN);
        mpfr_sub(r15626, r15620, r15625, MPFR_RNDN);
        mpfr_div(r15627, r15621, r15622, MPFR_RNDN);
        mpfr_sqr(r15628, r15627, MPFR_RNDN);
        mpfr_mul(r15629, r15616, r15628, MPFR_RNDN);
        ;
        mpfr_pow(r15631, r15629, r15630, MPFR_RNDN);
        mpfr_set_d(r15632, U_, MPFR_RNDN);
        mpfr_sub(r15633, r15618, r15632, MPFR_RNDN);
        mpfr_mul(r15634, r15631, r15633, MPFR_RNDN);
        mpfr_sub(r15635, r15626, r15634, MPFR_RNDN);
        mpfr_mul(r15636, r15619, r15635, MPFR_RNDN);
        mpfr_sqrt(r15637, r15636, MPFR_RNDN);
        return mpfr_get_d(r15637, MPFR_RNDN);
}

static mpfr_t r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15638, "2", 10, MPFR_RNDN);
        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);
        mpfr_init_set_str(r15653, "1", 10, MPFR_RNDN);
        mpfr_init(r15654);
        mpfr_init(r15655);
        mpfr_init(r15656);
        mpfr_init(r15657);
        mpfr_init(r15658);
        mpfr_init(r15659);
        mpfr_init(r15660);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15639, n, MPFR_RNDN);
        mpfr_mul(r15640, r15638, r15639, MPFR_RNDN);
        mpfr_set_d(r15641, U, MPFR_RNDN);
        mpfr_mul(r15642, r15640, r15641, MPFR_RNDN);
        mpfr_set_d(r15643, t, MPFR_RNDN);
        mpfr_set_d(r15644, l, MPFR_RNDN);
        mpfr_set_d(r15645, Om, MPFR_RNDN);
        mpfr_div(r15646, r15645, r15644, MPFR_RNDN);
        mpfr_div(r15647, r15644, r15646, MPFR_RNDN);
        mpfr_mul(r15648, r15638, r15647, MPFR_RNDN);
        mpfr_sub(r15649, r15643, r15648, MPFR_RNDN);
        mpfr_div(r15650, r15644, r15645, MPFR_RNDN);
        mpfr_sqr(r15651, r15650, MPFR_RNDN);
        mpfr_mul(r15652, r15639, r15651, MPFR_RNDN);
        ;
        mpfr_pow(r15654, r15652, r15653, MPFR_RNDN);
        mpfr_set_d(r15655, U_, MPFR_RNDN);
        mpfr_sub(r15656, r15641, r15655, MPFR_RNDN);
        mpfr_mul(r15657, r15654, r15656, MPFR_RNDN);
        mpfr_sub(r15658, r15649, r15657, MPFR_RNDN);
        mpfr_mul(r15659, r15642, r15658, MPFR_RNDN);
        mpfr_sqrt(r15660, r15659, MPFR_RNDN);
        return mpfr_get_d(r15660, MPFR_RNDN);
}

