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

double f_id(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 = r15577 * r15577;
        double r15579 = Om;
        double r15580 = r15578 / r15579;
        double r15581 = r15571 * r15580;
        double r15582 = r15576 - r15581;
        double r15583 = r15577 / r15579;
        double r15584 = r15583 * r15583;
        double r15585 = r15572 * r15584;
        double r15586 = U_;
        double r15587 = r15574 - r15586;
        double r15588 = r15585 * r15587;
        double r15589 = r15582 - r15588;
        double r15590 = r15575 * r15589;
        double r15591 = sqrt(r15590);
        return r15591;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15592 = 2.0f;
        float r15593 = n;
        float r15594 = r15592 * r15593;
        float r15595 = U;
        float r15596 = r15594 * r15595;
        float r15597 = t;
        float r15598 = l;
        float r15599 = Om;
        float r15600 = r15599 / r15598;
        float r15601 = r15598 / r15600;
        float r15602 = r15592 * r15601;
        float r15603 = r15597 - r15602;
        float r15604 = r15598 / r15599;
        float r15605 = r15593 * r15604;
        float r15606 = cbrt(r15605);
        float r15607 = cbrt(r15604);
        float r15608 = r15606 * r15607;
        float r15609 = U_;
        float r15610 = r15595 - r15609;
        float r15611 = cbrt(r15610);
        float r15612 = r15608 * r15611;
        float r15613 = r15612 * (r15612 * r15612);
        float r15614 = r15603 - r15613;
        float r15615 = r15596 * r15614;
        float r15616 = sqrt(r15615);
        return r15616;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15617 = 2.0;
        double r15618 = n;
        double r15619 = r15617 * r15618;
        double r15620 = U;
        double r15621 = r15619 * r15620;
        double r15622 = t;
        double r15623 = l;
        double r15624 = Om;
        double r15625 = r15624 / r15623;
        double r15626 = r15623 / r15625;
        double r15627 = r15617 * r15626;
        double r15628 = r15622 - r15627;
        double r15629 = r15623 / r15624;
        double r15630 = r15618 * r15629;
        double r15631 = cbrt(r15630);
        double r15632 = cbrt(r15629);
        double r15633 = r15631 * r15632;
        double r15634 = U_;
        double r15635 = r15620 - r15634;
        double r15636 = cbrt(r15635);
        double r15637 = r15633 * r15636;
        double r15638 = r15637 * (r15637 * r15637);
        double r15639 = r15628 - r15638;
        double r15640 = r15621 * r15639;
        double r15641 = sqrt(r15640);
        return r15641;
}

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 r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15642, "2", 10, MPFR_RNDN);
        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(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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15643, n, MPFR_RNDN);
        mpfr_mul(r15644, r15642, r15643, MPFR_RNDN);
        mpfr_set_d(r15645, U, MPFR_RNDN);
        mpfr_mul(r15646, r15644, r15645, MPFR_RNDN);
        mpfr_set_d(r15647, t, MPFR_RNDN);
        mpfr_set_d(r15648, l, MPFR_RNDN);
        mpfr_sqr(r15649, r15648, MPFR_RNDN);
        mpfr_set_d(r15650, Om, MPFR_RNDN);
        mpfr_div(r15651, r15649, r15650, MPFR_RNDN);
        mpfr_mul(r15652, r15642, r15651, MPFR_RNDN);
        mpfr_sub(r15653, r15647, r15652, MPFR_RNDN);
        mpfr_div(r15654, r15648, r15650, MPFR_RNDN);
        mpfr_sqr(r15655, r15654, MPFR_RNDN);
        mpfr_mul(r15656, r15643, r15655, MPFR_RNDN);
        mpfr_set_d(r15657, U_, MPFR_RNDN);
        mpfr_sub(r15658, r15645, r15657, MPFR_RNDN);
        mpfr_mul(r15659, r15656, r15658, MPFR_RNDN);
        mpfr_sub(r15660, r15653, r15659, MPFR_RNDN);
        mpfr_mul(r15661, r15646, r15660, MPFR_RNDN);
        mpfr_sqrt(r15662, r15661, MPFR_RNDN);
        return mpfr_get_d(r15662, MPFR_RNDN);
}

static mpfr_t r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670, r15671, r15672, r15673, r15674, r15675, r15676, r15677, r15678, r15679, r15680, r15681, r15682, r15683, r15684, r15685, r15686, r15687;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15663, "2", 10, MPFR_RNDN);
        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(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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15664, n, MPFR_RNDN);
        mpfr_mul(r15665, r15663, r15664, MPFR_RNDN);
        mpfr_set_d(r15666, U, MPFR_RNDN);
        mpfr_mul(r15667, r15665, r15666, MPFR_RNDN);
        mpfr_set_d(r15668, t, MPFR_RNDN);
        mpfr_set_d(r15669, l, MPFR_RNDN);
        mpfr_set_d(r15670, Om, MPFR_RNDN);
        mpfr_div(r15671, r15670, r15669, MPFR_RNDN);
        mpfr_div(r15672, r15669, r15671, MPFR_RNDN);
        mpfr_mul(r15673, r15663, r15672, MPFR_RNDN);
        mpfr_sub(r15674, r15668, r15673, MPFR_RNDN);
        mpfr_div(r15675, r15669, r15670, MPFR_RNDN);
        mpfr_mul(r15676, r15664, r15675, MPFR_RNDN);
        mpfr_cbrt(r15677, r15676, MPFR_RNDN);
        mpfr_cbrt(r15678, r15675, MPFR_RNDN);
        mpfr_mul(r15679, r15677, r15678, MPFR_RNDN);
        mpfr_set_d(r15680, U_, MPFR_RNDN);
        mpfr_sub(r15681, r15666, r15680, MPFR_RNDN);
        mpfr_cbrt(r15682, r15681, MPFR_RNDN);
        mpfr_mul(r15683, r15679, r15682, MPFR_RNDN);
        mpfr_mul(r15684, r15683, r15683, MPFR_RNDN); mpfr_mul(r15684, r15684, r15683, MPFR_RNDN);
        mpfr_sub(r15685, r15674, r15684, MPFR_RNDN);
        mpfr_mul(r15686, r15667, r15685, MPFR_RNDN);
        mpfr_sqrt(r15687, r15686, MPFR_RNDN);
        return mpfr_get_d(r15687, MPFR_RNDN);
}

static mpfr_t r15688, r15689, r15690, r15691, r15692, r15693, r15694, r15695, r15696, r15697, r15698, r15699, r15700, r15701, r15702, r15703, r15704, r15705, r15706, r15707, r15708, r15709, r15710, r15711, r15712;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15688, "2", 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);
        mpfr_init(r15697);
        mpfr_init(r15698);
        mpfr_init(r15699);
        mpfr_init(r15700);
        mpfr_init(r15701);
        mpfr_init(r15702);
        mpfr_init(r15703);
        mpfr_init(r15704);
        mpfr_init(r15705);
        mpfr_init(r15706);
        mpfr_init(r15707);
        mpfr_init(r15708);
        mpfr_init(r15709);
        mpfr_init(r15710);
        mpfr_init(r15711);
        mpfr_init(r15712);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15689, n, MPFR_RNDN);
        mpfr_mul(r15690, r15688, r15689, MPFR_RNDN);
        mpfr_set_d(r15691, U, MPFR_RNDN);
        mpfr_mul(r15692, r15690, r15691, MPFR_RNDN);
        mpfr_set_d(r15693, t, MPFR_RNDN);
        mpfr_set_d(r15694, l, MPFR_RNDN);
        mpfr_set_d(r15695, Om, MPFR_RNDN);
        mpfr_div(r15696, r15695, r15694, MPFR_RNDN);
        mpfr_div(r15697, r15694, r15696, MPFR_RNDN);
        mpfr_mul(r15698, r15688, r15697, MPFR_RNDN);
        mpfr_sub(r15699, r15693, r15698, MPFR_RNDN);
        mpfr_div(r15700, r15694, r15695, MPFR_RNDN);
        mpfr_mul(r15701, r15689, r15700, MPFR_RNDN);
        mpfr_cbrt(r15702, r15701, MPFR_RNDN);
        mpfr_cbrt(r15703, r15700, MPFR_RNDN);
        mpfr_mul(r15704, r15702, r15703, MPFR_RNDN);
        mpfr_set_d(r15705, U_, MPFR_RNDN);
        mpfr_sub(r15706, r15691, r15705, MPFR_RNDN);
        mpfr_cbrt(r15707, r15706, MPFR_RNDN);
        mpfr_mul(r15708, r15704, r15707, MPFR_RNDN);
        mpfr_mul(r15709, r15708, r15708, MPFR_RNDN); mpfr_mul(r15709, r15709, r15708, MPFR_RNDN);
        mpfr_sub(r15710, r15699, r15709, MPFR_RNDN);
        mpfr_mul(r15711, r15692, r15710, MPFR_RNDN);
        mpfr_sqrt(r15712, r15711, MPFR_RNDN);
        return mpfr_get_d(r15712, MPFR_RNDN);
}

