#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 r15538 = 2.0f;
        float r15539 = n;
        float r15540 = r15538 * r15539;
        float r15541 = U;
        float r15542 = r15540 * r15541;
        float r15543 = t;
        float r15544 = l;
        float r15545 = r15544 * r15544;
        float r15546 = Om;
        float r15547 = r15545 / r15546;
        float r15548 = r15538 * r15547;
        float r15549 = r15543 - r15548;
        float r15550 = r15544 / r15546;
        float r15551 = r15550 * r15550;
        float r15552 = r15539 * r15551;
        float r15553 = U_;
        float r15554 = r15541 - r15553;
        float r15555 = r15552 * r15554;
        float r15556 = r15549 - r15555;
        float r15557 = r15542 * r15556;
        float r15558 = sqrt(r15557);
        return r15558;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15559 = 2.0;
        double r15560 = n;
        double r15561 = r15559 * r15560;
        double r15562 = U;
        double r15563 = r15561 * r15562;
        double r15564 = t;
        double r15565 = l;
        double r15566 = r15565 * r15565;
        double r15567 = Om;
        double r15568 = r15566 / r15567;
        double r15569 = r15559 * r15568;
        double r15570 = r15564 - r15569;
        double r15571 = r15565 / r15567;
        double r15572 = r15571 * r15571;
        double r15573 = r15560 * r15572;
        double r15574 = U_;
        double r15575 = r15562 - r15574;
        double r15576 = r15573 * r15575;
        double r15577 = r15570 - r15576;
        double r15578 = r15563 * r15577;
        double r15579 = sqrt(r15578);
        return r15579;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15580 = 2.0f;
        float r15581 = n;
        float r15582 = r15580 * r15581;
        float r15583 = U;
        float r15584 = t;
        float r15585 = l;
        float r15586 = Om;
        float r15587 = r15586 / r15585;
        float r15588 = r15585 / r15587;
        float r15589 = r15580 * r15588;
        float r15590 = r15584 - r15589;
        float r15591 = r15585 / r15586;
        float r15592 = r15591 * r15591;
        float r15593 = r15581 * r15592;
        float r15594 = 1.0f;
        float r15595 = pow(r15593, r15594);
        float r15596 = U_;
        float r15597 = r15583 - r15596;
        float r15598 = r15595 * r15597;
        float r15599 = r15590 - r15598;
        float r15600 = r15583 * r15599;
        float r15601 = r15582 * r15600;
        float r15602 = sqrt(r15601);
        return r15602;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15603 = 2.0;
        double r15604 = n;
        double r15605 = r15603 * r15604;
        double r15606 = U;
        double r15607 = t;
        double r15608 = l;
        double r15609 = Om;
        double r15610 = r15609 / r15608;
        double r15611 = r15608 / r15610;
        double r15612 = r15603 * r15611;
        double r15613 = r15607 - r15612;
        double r15614 = r15608 / r15609;
        double r15615 = r15614 * r15614;
        double r15616 = r15604 * r15615;
        double r15617 = 1.0;
        double r15618 = pow(r15616, r15617);
        double r15619 = U_;
        double r15620 = r15606 - r15619;
        double r15621 = r15618 * r15620;
        double r15622 = r15613 - r15621;
        double r15623 = r15606 * r15622;
        double r15624 = r15605 * r15623;
        double r15625 = sqrt(r15624);
        return r15625;
}

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 r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15626, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15645);
        mpfr_init(r15646);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15627, n, MPFR_RNDN);
        mpfr_mul(r15628, r15626, r15627, MPFR_RNDN);
        mpfr_set_d(r15629, U, MPFR_RNDN);
        mpfr_mul(r15630, r15628, r15629, MPFR_RNDN);
        mpfr_set_d(r15631, t, MPFR_RNDN);
        mpfr_set_d(r15632, l, MPFR_RNDN);
        mpfr_sqr(r15633, r15632, MPFR_RNDN);
        mpfr_set_d(r15634, Om, MPFR_RNDN);
        mpfr_div(r15635, r15633, r15634, MPFR_RNDN);
        mpfr_mul(r15636, r15626, r15635, MPFR_RNDN);
        mpfr_sub(r15637, r15631, r15636, MPFR_RNDN);
        mpfr_div(r15638, r15632, r15634, MPFR_RNDN);
        mpfr_sqr(r15639, r15638, MPFR_RNDN);
        mpfr_mul(r15640, r15627, r15639, MPFR_RNDN);
        mpfr_set_d(r15641, U_, MPFR_RNDN);
        mpfr_sub(r15642, r15629, r15641, MPFR_RNDN);
        mpfr_mul(r15643, r15640, r15642, MPFR_RNDN);
        mpfr_sub(r15644, r15637, r15643, MPFR_RNDN);
        mpfr_mul(r15645, r15630, r15644, MPFR_RNDN);
        mpfr_sqrt(r15646, r15645, MPFR_RNDN);
        return mpfr_get_d(r15646, MPFR_RNDN);
}

static mpfr_t r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15647, "2", 10, MPFR_RNDN);
        mpfr_init(r15648);
        mpfr_init(r15649);
        mpfr_init(r15650);
        mpfr_init(r15651);
        mpfr_init(r15652);
        mpfr_init(r15653);
        mpfr_init(r15654);
        mpfr_init(r15655);
        mpfr_init(r15656);
        mpfr_init(r15657);
        mpfr_init(r15658);
        mpfr_init(r15659);
        mpfr_init(r15660);
        mpfr_init_set_str(r15661, "1", 10, MPFR_RNDN);
        mpfr_init(r15662);
        mpfr_init(r15663);
        mpfr_init(r15664);
        mpfr_init(r15665);
        mpfr_init(r15666);
        mpfr_init(r15667);
        mpfr_init(r15668);
        mpfr_init(r15669);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15648, n, MPFR_RNDN);
        mpfr_mul(r15649, r15647, r15648, MPFR_RNDN);
        mpfr_set_d(r15650, U, MPFR_RNDN);
        mpfr_set_d(r15651, t, MPFR_RNDN);
        mpfr_set_d(r15652, l, MPFR_RNDN);
        mpfr_set_d(r15653, Om, MPFR_RNDN);
        mpfr_div(r15654, r15653, r15652, MPFR_RNDN);
        mpfr_div(r15655, r15652, r15654, MPFR_RNDN);
        mpfr_mul(r15656, r15647, r15655, MPFR_RNDN);
        mpfr_sub(r15657, r15651, r15656, MPFR_RNDN);
        mpfr_div(r15658, r15652, r15653, MPFR_RNDN);
        mpfr_sqr(r15659, r15658, MPFR_RNDN);
        mpfr_mul(r15660, r15648, r15659, MPFR_RNDN);
        ;
        mpfr_pow(r15662, r15660, r15661, MPFR_RNDN);
        mpfr_set_d(r15663, U_, MPFR_RNDN);
        mpfr_sub(r15664, r15650, r15663, MPFR_RNDN);
        mpfr_mul(r15665, r15662, r15664, MPFR_RNDN);
        mpfr_sub(r15666, r15657, r15665, MPFR_RNDN);
        mpfr_mul(r15667, r15650, r15666, MPFR_RNDN);
        mpfr_mul(r15668, r15649, r15667, MPFR_RNDN);
        mpfr_sqrt(r15669, r15668, MPFR_RNDN);
        return mpfr_get_d(r15669, MPFR_RNDN);
}

static mpfr_t r15670, r15671, r15672, r15673, r15674, r15675, r15676, r15677, r15678, r15679, r15680, r15681, r15682, r15683, r15684, r15685, r15686, r15687, r15688, r15689, r15690, r15691, r15692;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15670, "2", 10, MPFR_RNDN);
        mpfr_init(r15671);
        mpfr_init(r15672);
        mpfr_init(r15673);
        mpfr_init(r15674);
        mpfr_init(r15675);
        mpfr_init(r15676);
        mpfr_init(r15677);
        mpfr_init(r15678);
        mpfr_init(r15679);
        mpfr_init(r15680);
        mpfr_init(r15681);
        mpfr_init(r15682);
        mpfr_init(r15683);
        mpfr_init_set_str(r15684, "1", 10, MPFR_RNDN);
        mpfr_init(r15685);
        mpfr_init(r15686);
        mpfr_init(r15687);
        mpfr_init(r15688);
        mpfr_init(r15689);
        mpfr_init(r15690);
        mpfr_init(r15691);
        mpfr_init(r15692);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15671, n, MPFR_RNDN);
        mpfr_mul(r15672, r15670, r15671, MPFR_RNDN);
        mpfr_set_d(r15673, U, MPFR_RNDN);
        mpfr_set_d(r15674, t, MPFR_RNDN);
        mpfr_set_d(r15675, l, MPFR_RNDN);
        mpfr_set_d(r15676, Om, MPFR_RNDN);
        mpfr_div(r15677, r15676, r15675, MPFR_RNDN);
        mpfr_div(r15678, r15675, r15677, MPFR_RNDN);
        mpfr_mul(r15679, r15670, r15678, MPFR_RNDN);
        mpfr_sub(r15680, r15674, r15679, MPFR_RNDN);
        mpfr_div(r15681, r15675, r15676, MPFR_RNDN);
        mpfr_sqr(r15682, r15681, MPFR_RNDN);
        mpfr_mul(r15683, r15671, r15682, MPFR_RNDN);
        ;
        mpfr_pow(r15685, r15683, r15684, MPFR_RNDN);
        mpfr_set_d(r15686, U_, MPFR_RNDN);
        mpfr_sub(r15687, r15673, r15686, MPFR_RNDN);
        mpfr_mul(r15688, r15685, r15687, MPFR_RNDN);
        mpfr_sub(r15689, r15680, r15688, MPFR_RNDN);
        mpfr_mul(r15690, r15673, r15689, MPFR_RNDN);
        mpfr_mul(r15691, r15672, r15690, MPFR_RNDN);
        mpfr_sqrt(r15692, r15691, MPFR_RNDN);
        return mpfr_get_d(r15692, MPFR_RNDN);
}

