#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 r15530 = 2.0f;
        float r15531 = n;
        float r15532 = r15530 * r15531;
        float r15533 = U;
        float r15534 = r15532 * r15533;
        float r15535 = t;
        float r15536 = l;
        float r15537 = r15536 * r15536;
        float r15538 = Om;
        float r15539 = r15537 / r15538;
        float r15540 = r15530 * r15539;
        float r15541 = r15535 - r15540;
        float r15542 = r15536 / r15538;
        float r15543 = r15542 * r15542;
        float r15544 = r15531 * r15543;
        float r15545 = U_;
        float r15546 = r15533 - r15545;
        float r15547 = r15544 * r15546;
        float r15548 = r15541 - r15547;
        float r15549 = r15534 * r15548;
        float r15550 = sqrt(r15549);
        return r15550;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15551 = 2.0;
        double r15552 = n;
        double r15553 = r15551 * r15552;
        double r15554 = U;
        double r15555 = r15553 * r15554;
        double r15556 = t;
        double r15557 = l;
        double r15558 = r15557 * r15557;
        double r15559 = Om;
        double r15560 = r15558 / r15559;
        double r15561 = r15551 * r15560;
        double r15562 = r15556 - r15561;
        double r15563 = r15557 / r15559;
        double r15564 = r15563 * r15563;
        double r15565 = r15552 * r15564;
        double r15566 = U_;
        double r15567 = r15554 - r15566;
        double r15568 = r15565 * r15567;
        double r15569 = r15562 - r15568;
        double r15570 = r15555 * r15569;
        double r15571 = sqrt(r15570);
        return r15571;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15572 = 2.0f;
        float r15573 = n;
        float r15574 = r15572 * r15573;
        float r15575 = U;
        float r15576 = t;
        float r15577 = l;
        float r15578 = Om;
        float r15579 = r15578 / r15577;
        float r15580 = r15577 / r15579;
        float r15581 = r15572 * r15580;
        float r15582 = r15576 - r15581;
        float r15583 = r15577 / r15578;
        float r15584 = r15583 * r15583;
        float r15585 = r15573 * r15584;
        float r15586 = 1.0f;
        float r15587 = pow(r15585, r15586);
        float r15588 = U_;
        float r15589 = r15575 - r15588;
        float r15590 = r15587 * r15589;
        float r15591 = r15582 - r15590;
        float r15592 = r15575 * r15591;
        float r15593 = r15574 * r15592;
        float r15594 = sqrt(r15593);
        return r15594;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15595 = 2.0;
        double r15596 = n;
        double r15597 = r15595 * r15596;
        double r15598 = U;
        double r15599 = t;
        double r15600 = l;
        double r15601 = Om;
        double r15602 = r15601 / r15600;
        double r15603 = r15600 / r15602;
        double r15604 = r15595 * r15603;
        double r15605 = r15599 - r15604;
        double r15606 = r15600 / r15601;
        double r15607 = r15606 * r15606;
        double r15608 = r15596 * r15607;
        double r15609 = 1.0;
        double r15610 = pow(r15608, r15609);
        double r15611 = U_;
        double r15612 = r15598 - r15611;
        double r15613 = r15610 * r15612;
        double r15614 = r15605 - r15613;
        double r15615 = r15598 * r15614;
        double r15616 = r15597 * r15615;
        double r15617 = sqrt(r15616);
        return r15617;
}

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 r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15618, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15637);
        mpfr_init(r15638);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15619, n, MPFR_RNDN);
        mpfr_mul(r15620, r15618, r15619, MPFR_RNDN);
        mpfr_set_d(r15621, U, MPFR_RNDN);
        mpfr_mul(r15622, r15620, r15621, MPFR_RNDN);
        mpfr_set_d(r15623, t, MPFR_RNDN);
        mpfr_set_d(r15624, l, MPFR_RNDN);
        mpfr_sqr(r15625, r15624, MPFR_RNDN);
        mpfr_set_d(r15626, Om, MPFR_RNDN);
        mpfr_div(r15627, r15625, r15626, MPFR_RNDN);
        mpfr_mul(r15628, r15618, r15627, MPFR_RNDN);
        mpfr_sub(r15629, r15623, r15628, MPFR_RNDN);
        mpfr_div(r15630, r15624, r15626, MPFR_RNDN);
        mpfr_sqr(r15631, r15630, MPFR_RNDN);
        mpfr_mul(r15632, r15619, r15631, MPFR_RNDN);
        mpfr_set_d(r15633, U_, MPFR_RNDN);
        mpfr_sub(r15634, r15621, r15633, MPFR_RNDN);
        mpfr_mul(r15635, r15632, r15634, MPFR_RNDN);
        mpfr_sub(r15636, r15629, r15635, MPFR_RNDN);
        mpfr_mul(r15637, r15622, r15636, MPFR_RNDN);
        mpfr_sqrt(r15638, r15637, MPFR_RNDN);
        return mpfr_get_d(r15638, MPFR_RNDN);
}

static mpfr_t r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15639, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15661);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15640, n, MPFR_RNDN);
        mpfr_mul(r15641, r15639, r15640, MPFR_RNDN);
        mpfr_set_d(r15642, U, 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, r15639, 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, r15640, r15651, MPFR_RNDN);
        ;
        mpfr_pow(r15654, r15652, r15653, MPFR_RNDN);
        mpfr_set_d(r15655, U_, MPFR_RNDN);
        mpfr_sub(r15656, r15642, 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_mul(r15660, r15641, r15659, MPFR_RNDN);
        mpfr_sqrt(r15661, r15660, MPFR_RNDN);
        return mpfr_get_d(r15661, MPFR_RNDN);
}

static mpfr_t r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670, r15671, r15672, r15673, r15674, r15675, r15676, r15677, r15678, r15679, r15680, r15681, r15682, r15683, r15684;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15662, "2", 10, MPFR_RNDN);
        mpfr_init(r15663);
        mpfr_init(r15664);
        mpfr_init(r15665);
        mpfr_init(r15666);
        mpfr_init(r15667);
        mpfr_init(r15668);
        mpfr_init(r15669);
        mpfr_init(r15670);
        mpfr_init(r15671);
        mpfr_init(r15672);
        mpfr_init(r15673);
        mpfr_init(r15674);
        mpfr_init(r15675);
        mpfr_init_set_str(r15676, "1", 10, MPFR_RNDN);
        mpfr_init(r15677);
        mpfr_init(r15678);
        mpfr_init(r15679);
        mpfr_init(r15680);
        mpfr_init(r15681);
        mpfr_init(r15682);
        mpfr_init(r15683);
        mpfr_init(r15684);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15663, n, MPFR_RNDN);
        mpfr_mul(r15664, r15662, r15663, MPFR_RNDN);
        mpfr_set_d(r15665, U, MPFR_RNDN);
        mpfr_set_d(r15666, t, MPFR_RNDN);
        mpfr_set_d(r15667, l, MPFR_RNDN);
        mpfr_set_d(r15668, Om, MPFR_RNDN);
        mpfr_div(r15669, r15668, r15667, MPFR_RNDN);
        mpfr_div(r15670, r15667, r15669, MPFR_RNDN);
        mpfr_mul(r15671, r15662, r15670, MPFR_RNDN);
        mpfr_sub(r15672, r15666, r15671, MPFR_RNDN);
        mpfr_div(r15673, r15667, r15668, MPFR_RNDN);
        mpfr_sqr(r15674, r15673, MPFR_RNDN);
        mpfr_mul(r15675, r15663, r15674, MPFR_RNDN);
        ;
        mpfr_pow(r15677, r15675, r15676, MPFR_RNDN);
        mpfr_set_d(r15678, U_, MPFR_RNDN);
        mpfr_sub(r15679, r15665, r15678, MPFR_RNDN);
        mpfr_mul(r15680, r15677, r15679, MPFR_RNDN);
        mpfr_sub(r15681, r15672, r15680, MPFR_RNDN);
        mpfr_mul(r15682, r15665, r15681, MPFR_RNDN);
        mpfr_mul(r15683, r15664, r15682, MPFR_RNDN);
        mpfr_sqrt(r15684, r15683, MPFR_RNDN);
        return mpfr_get_d(r15684, MPFR_RNDN);
}

