#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 r15542 = 2.0f;
        float r15543 = n;
        float r15544 = r15542 * r15543;
        float r15545 = U;
        float r15546 = r15544 * r15545;
        float r15547 = t;
        float r15548 = l;
        float r15549 = r15548 * r15548;
        float r15550 = Om;
        float r15551 = r15549 / r15550;
        float r15552 = r15542 * r15551;
        float r15553 = r15547 - r15552;
        float r15554 = r15548 / r15550;
        float r15555 = r15554 * r15554;
        float r15556 = r15543 * r15555;
        float r15557 = U_;
        float r15558 = r15545 - r15557;
        float r15559 = r15556 * r15558;
        float r15560 = r15553 - r15559;
        float r15561 = r15546 * r15560;
        float r15562 = sqrt(r15561);
        return r15562;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15563 = 2.0;
        double r15564 = n;
        double r15565 = r15563 * r15564;
        double r15566 = U;
        double r15567 = r15565 * r15566;
        double r15568 = t;
        double r15569 = l;
        double r15570 = r15569 * r15569;
        double r15571 = Om;
        double r15572 = r15570 / r15571;
        double r15573 = r15563 * r15572;
        double r15574 = r15568 - r15573;
        double r15575 = r15569 / r15571;
        double r15576 = r15575 * r15575;
        double r15577 = r15564 * r15576;
        double r15578 = U_;
        double r15579 = r15566 - r15578;
        double r15580 = r15577 * r15579;
        double r15581 = r15574 - r15580;
        double r15582 = r15567 * r15581;
        double r15583 = sqrt(r15582);
        return r15583;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15584 = 2.0f;
        float r15585 = n;
        float r15586 = r15584 * r15585;
        float r15587 = U;
        float r15588 = t;
        float r15589 = l;
        float r15590 = Om;
        float r15591 = r15590 / r15589;
        float r15592 = r15589 / r15591;
        float r15593 = r15584 * r15592;
        float r15594 = r15588 - r15593;
        float r15595 = r15589 / r15590;
        float r15596 = r15595 * r15595;
        float r15597 = r15585 * r15596;
        float r15598 = 1.0f;
        float r15599 = pow(r15597, r15598);
        float r15600 = U_;
        float r15601 = r15587 - r15600;
        float r15602 = r15599 * r15601;
        float r15603 = r15594 - r15602;
        float r15604 = r15587 * r15603;
        float r15605 = r15586 * r15604;
        float r15606 = sqrt(r15605);
        return r15606;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15607 = 2.0;
        double r15608 = n;
        double r15609 = r15607 * r15608;
        double r15610 = U;
        double r15611 = t;
        double r15612 = l;
        double r15613 = Om;
        double r15614 = r15613 / r15612;
        double r15615 = r15612 / r15614;
        double r15616 = r15607 * r15615;
        double r15617 = r15611 - r15616;
        double r15618 = r15612 / r15613;
        double r15619 = r15618 * r15618;
        double r15620 = r15608 * r15619;
        double r15621 = 1.0;
        double r15622 = pow(r15620, r15621);
        double r15623 = U_;
        double r15624 = r15610 - r15623;
        double r15625 = r15622 * r15624;
        double r15626 = r15617 - r15625;
        double r15627 = r15610 * r15626;
        double r15628 = r15609 * r15627;
        double r15629 = sqrt(r15628);
        return r15629;
}

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 r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15630, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15647);
        mpfr_init(r15648);
        mpfr_init(r15649);
        mpfr_init(r15650);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15631, n, MPFR_RNDN);
        mpfr_mul(r15632, r15630, r15631, MPFR_RNDN);
        mpfr_set_d(r15633, U, MPFR_RNDN);
        mpfr_mul(r15634, r15632, r15633, MPFR_RNDN);
        mpfr_set_d(r15635, t, MPFR_RNDN);
        mpfr_set_d(r15636, l, MPFR_RNDN);
        mpfr_sqr(r15637, r15636, MPFR_RNDN);
        mpfr_set_d(r15638, Om, MPFR_RNDN);
        mpfr_div(r15639, r15637, r15638, MPFR_RNDN);
        mpfr_mul(r15640, r15630, r15639, MPFR_RNDN);
        mpfr_sub(r15641, r15635, r15640, MPFR_RNDN);
        mpfr_div(r15642, r15636, r15638, MPFR_RNDN);
        mpfr_sqr(r15643, r15642, MPFR_RNDN);
        mpfr_mul(r15644, r15631, r15643, MPFR_RNDN);
        mpfr_set_d(r15645, U_, MPFR_RNDN);
        mpfr_sub(r15646, r15633, r15645, MPFR_RNDN);
        mpfr_mul(r15647, r15644, r15646, MPFR_RNDN);
        mpfr_sub(r15648, r15641, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15634, r15648, MPFR_RNDN);
        mpfr_sqrt(r15650, r15649, MPFR_RNDN);
        return mpfr_get_d(r15650, MPFR_RNDN);
}

static mpfr_t r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670, r15671, r15672, r15673;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15651, "2", 10, MPFR_RNDN);
        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(r15661);
        mpfr_init(r15662);
        mpfr_init(r15663);
        mpfr_init(r15664);
        mpfr_init_set_str(r15665, "1", 10, MPFR_RNDN);
        mpfr_init(r15666);
        mpfr_init(r15667);
        mpfr_init(r15668);
        mpfr_init(r15669);
        mpfr_init(r15670);
        mpfr_init(r15671);
        mpfr_init(r15672);
        mpfr_init(r15673);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15652, n, MPFR_RNDN);
        mpfr_mul(r15653, r15651, r15652, MPFR_RNDN);
        mpfr_set_d(r15654, U, MPFR_RNDN);
        mpfr_set_d(r15655, t, MPFR_RNDN);
        mpfr_set_d(r15656, l, MPFR_RNDN);
        mpfr_set_d(r15657, Om, MPFR_RNDN);
        mpfr_div(r15658, r15657, r15656, MPFR_RNDN);
        mpfr_div(r15659, r15656, r15658, MPFR_RNDN);
        mpfr_mul(r15660, r15651, r15659, MPFR_RNDN);
        mpfr_sub(r15661, r15655, r15660, MPFR_RNDN);
        mpfr_div(r15662, r15656, r15657, MPFR_RNDN);
        mpfr_sqr(r15663, r15662, MPFR_RNDN);
        mpfr_mul(r15664, r15652, r15663, MPFR_RNDN);
        ;
        mpfr_pow(r15666, r15664, r15665, MPFR_RNDN);
        mpfr_set_d(r15667, U_, MPFR_RNDN);
        mpfr_sub(r15668, r15654, r15667, MPFR_RNDN);
        mpfr_mul(r15669, r15666, r15668, MPFR_RNDN);
        mpfr_sub(r15670, r15661, r15669, MPFR_RNDN);
        mpfr_mul(r15671, r15654, r15670, MPFR_RNDN);
        mpfr_mul(r15672, r15653, r15671, MPFR_RNDN);
        mpfr_sqrt(r15673, r15672, MPFR_RNDN);
        return mpfr_get_d(r15673, MPFR_RNDN);
}

static mpfr_t r15674, r15675, r15676, r15677, r15678, r15679, r15680, r15681, r15682, r15683, r15684, r15685, r15686, r15687, r15688, r15689, r15690, r15691, r15692, r15693, r15694, r15695, r15696;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15674, "2", 10, MPFR_RNDN);
        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(r15684);
        mpfr_init(r15685);
        mpfr_init(r15686);
        mpfr_init(r15687);
        mpfr_init_set_str(r15688, "1", 10, MPFR_RNDN);
        mpfr_init(r15689);
        mpfr_init(r15690);
        mpfr_init(r15691);
        mpfr_init(r15692);
        mpfr_init(r15693);
        mpfr_init(r15694);
        mpfr_init(r15695);
        mpfr_init(r15696);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15675, n, MPFR_RNDN);
        mpfr_mul(r15676, r15674, r15675, MPFR_RNDN);
        mpfr_set_d(r15677, U, MPFR_RNDN);
        mpfr_set_d(r15678, t, MPFR_RNDN);
        mpfr_set_d(r15679, l, MPFR_RNDN);
        mpfr_set_d(r15680, Om, MPFR_RNDN);
        mpfr_div(r15681, r15680, r15679, MPFR_RNDN);
        mpfr_div(r15682, r15679, r15681, MPFR_RNDN);
        mpfr_mul(r15683, r15674, r15682, MPFR_RNDN);
        mpfr_sub(r15684, r15678, r15683, MPFR_RNDN);
        mpfr_div(r15685, r15679, r15680, MPFR_RNDN);
        mpfr_sqr(r15686, r15685, MPFR_RNDN);
        mpfr_mul(r15687, r15675, r15686, MPFR_RNDN);
        ;
        mpfr_pow(r15689, r15687, r15688, MPFR_RNDN);
        mpfr_set_d(r15690, U_, MPFR_RNDN);
        mpfr_sub(r15691, r15677, r15690, MPFR_RNDN);
        mpfr_mul(r15692, r15689, r15691, MPFR_RNDN);
        mpfr_sub(r15693, r15684, r15692, MPFR_RNDN);
        mpfr_mul(r15694, r15677, r15693, MPFR_RNDN);
        mpfr_mul(r15695, r15676, r15694, MPFR_RNDN);
        mpfr_sqrt(r15696, r15695, MPFR_RNDN);
        return mpfr_get_d(r15696, MPFR_RNDN);
}

