#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 r15562 = 2.0f;
        float r15563 = n;
        float r15564 = r15562 * r15563;
        float r15565 = U;
        float r15566 = r15564 * r15565;
        float r15567 = t;
        float r15568 = l;
        float r15569 = r15568 * r15568;
        float r15570 = Om;
        float r15571 = r15569 / r15570;
        float r15572 = r15562 * r15571;
        float r15573 = r15567 - r15572;
        float r15574 = r15568 / r15570;
        float r15575 = r15574 * r15574;
        float r15576 = r15563 * r15575;
        float r15577 = U_;
        float r15578 = r15565 - r15577;
        float r15579 = r15576 * r15578;
        float r15580 = r15573 - r15579;
        float r15581 = r15566 * r15580;
        float r15582 = sqrt(r15581);
        return r15582;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15583 = 2.0;
        double r15584 = n;
        double r15585 = r15583 * r15584;
        double r15586 = U;
        double r15587 = r15585 * r15586;
        double r15588 = t;
        double r15589 = l;
        double r15590 = r15589 * r15589;
        double r15591 = Om;
        double r15592 = r15590 / r15591;
        double r15593 = r15583 * r15592;
        double r15594 = r15588 - r15593;
        double r15595 = r15589 / r15591;
        double r15596 = r15595 * r15595;
        double r15597 = r15584 * r15596;
        double r15598 = U_;
        double r15599 = r15586 - r15598;
        double r15600 = r15597 * r15599;
        double r15601 = r15594 - r15600;
        double r15602 = r15587 * r15601;
        double r15603 = sqrt(r15602);
        return r15603;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15604 = 2.0f;
        float r15605 = n;
        float r15606 = r15604 * r15605;
        float r15607 = U;
        float r15608 = t;
        float r15609 = l;
        float r15610 = Om;
        float r15611 = r15610 / r15609;
        float r15612 = r15609 / r15611;
        float r15613 = r15604 * r15612;
        float r15614 = r15608 - r15613;
        float r15615 = r15609 / r15610;
        float r15616 = r15615 * r15615;
        float r15617 = r15605 * r15616;
        float r15618 = 1.0f;
        float r15619 = pow(r15617, r15618);
        float r15620 = U_;
        float r15621 = r15607 - r15620;
        float r15622 = r15619 * r15621;
        float r15623 = r15614 - r15622;
        float r15624 = r15607 * r15623;
        float r15625 = r15606 * r15624;
        float r15626 = sqrt(r15625);
        return r15626;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15627 = 2.0;
        double r15628 = n;
        double r15629 = r15627 * r15628;
        double r15630 = U;
        double r15631 = t;
        double r15632 = l;
        double r15633 = Om;
        double r15634 = r15633 / r15632;
        double r15635 = r15632 / r15634;
        double r15636 = r15627 * r15635;
        double r15637 = r15631 - r15636;
        double r15638 = r15632 / r15633;
        double r15639 = r15638 * r15638;
        double r15640 = r15628 * r15639;
        double r15641 = 1.0;
        double r15642 = pow(r15640, r15641);
        double r15643 = U_;
        double r15644 = r15630 - r15643;
        double r15645 = r15642 * r15644;
        double r15646 = r15637 - r15645;
        double r15647 = r15630 * r15646;
        double r15648 = r15629 * r15647;
        double r15649 = sqrt(r15648);
        return r15649;
}

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 r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15650, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15663);
        mpfr_init(r15664);
        mpfr_init(r15665);
        mpfr_init(r15666);
        mpfr_init(r15667);
        mpfr_init(r15668);
        mpfr_init(r15669);
        mpfr_init(r15670);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15651, n, MPFR_RNDN);
        mpfr_mul(r15652, r15650, r15651, MPFR_RNDN);
        mpfr_set_d(r15653, U, MPFR_RNDN);
        mpfr_mul(r15654, r15652, r15653, MPFR_RNDN);
        mpfr_set_d(r15655, t, MPFR_RNDN);
        mpfr_set_d(r15656, l, MPFR_RNDN);
        mpfr_sqr(r15657, r15656, MPFR_RNDN);
        mpfr_set_d(r15658, Om, MPFR_RNDN);
        mpfr_div(r15659, r15657, r15658, MPFR_RNDN);
        mpfr_mul(r15660, r15650, r15659, MPFR_RNDN);
        mpfr_sub(r15661, r15655, r15660, MPFR_RNDN);
        mpfr_div(r15662, r15656, r15658, MPFR_RNDN);
        mpfr_sqr(r15663, r15662, MPFR_RNDN);
        mpfr_mul(r15664, r15651, r15663, MPFR_RNDN);
        mpfr_set_d(r15665, U_, MPFR_RNDN);
        mpfr_sub(r15666, r15653, r15665, MPFR_RNDN);
        mpfr_mul(r15667, r15664, r15666, MPFR_RNDN);
        mpfr_sub(r15668, r15661, r15667, MPFR_RNDN);
        mpfr_mul(r15669, r15654, r15668, MPFR_RNDN);
        mpfr_sqrt(r15670, r15669, MPFR_RNDN);
        return mpfr_get_d(r15670, MPFR_RNDN);
}

static mpfr_t r15671, r15672, r15673, r15674, r15675, r15676, r15677, r15678, r15679, r15680, r15681, r15682, r15683, r15684, r15685, r15686, r15687, r15688, r15689, r15690, r15691, r15692, r15693;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15671, "2", 10, MPFR_RNDN);
        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_set_str(r15685, "1", 10, MPFR_RNDN);
        mpfr_init(r15686);
        mpfr_init(r15687);
        mpfr_init(r15688);
        mpfr_init(r15689);
        mpfr_init(r15690);
        mpfr_init(r15691);
        mpfr_init(r15692);
        mpfr_init(r15693);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15672, n, MPFR_RNDN);
        mpfr_mul(r15673, r15671, r15672, MPFR_RNDN);
        mpfr_set_d(r15674, U, MPFR_RNDN);
        mpfr_set_d(r15675, t, MPFR_RNDN);
        mpfr_set_d(r15676, l, MPFR_RNDN);
        mpfr_set_d(r15677, Om, MPFR_RNDN);
        mpfr_div(r15678, r15677, r15676, MPFR_RNDN);
        mpfr_div(r15679, r15676, r15678, MPFR_RNDN);
        mpfr_mul(r15680, r15671, r15679, MPFR_RNDN);
        mpfr_sub(r15681, r15675, r15680, MPFR_RNDN);
        mpfr_div(r15682, r15676, r15677, MPFR_RNDN);
        mpfr_sqr(r15683, r15682, MPFR_RNDN);
        mpfr_mul(r15684, r15672, r15683, MPFR_RNDN);
        ;
        mpfr_pow(r15686, r15684, r15685, MPFR_RNDN);
        mpfr_set_d(r15687, U_, MPFR_RNDN);
        mpfr_sub(r15688, r15674, r15687, MPFR_RNDN);
        mpfr_mul(r15689, r15686, r15688, MPFR_RNDN);
        mpfr_sub(r15690, r15681, r15689, MPFR_RNDN);
        mpfr_mul(r15691, r15674, r15690, MPFR_RNDN);
        mpfr_mul(r15692, r15673, r15691, MPFR_RNDN);
        mpfr_sqrt(r15693, r15692, MPFR_RNDN);
        return mpfr_get_d(r15693, MPFR_RNDN);
}

static mpfr_t r15694, r15695, r15696, r15697, r15698, r15699, r15700, r15701, r15702, r15703, r15704, r15705, r15706, r15707, r15708, r15709, r15710, r15711, r15712, r15713, r15714, r15715, r15716;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15694, "2", 10, MPFR_RNDN);
        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_set_str(r15708, "1", 10, MPFR_RNDN);
        mpfr_init(r15709);
        mpfr_init(r15710);
        mpfr_init(r15711);
        mpfr_init(r15712);
        mpfr_init(r15713);
        mpfr_init(r15714);
        mpfr_init(r15715);
        mpfr_init(r15716);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15695, n, MPFR_RNDN);
        mpfr_mul(r15696, r15694, r15695, MPFR_RNDN);
        mpfr_set_d(r15697, U, MPFR_RNDN);
        mpfr_set_d(r15698, t, MPFR_RNDN);
        mpfr_set_d(r15699, l, MPFR_RNDN);
        mpfr_set_d(r15700, Om, MPFR_RNDN);
        mpfr_div(r15701, r15700, r15699, MPFR_RNDN);
        mpfr_div(r15702, r15699, r15701, MPFR_RNDN);
        mpfr_mul(r15703, r15694, r15702, MPFR_RNDN);
        mpfr_sub(r15704, r15698, r15703, MPFR_RNDN);
        mpfr_div(r15705, r15699, r15700, MPFR_RNDN);
        mpfr_sqr(r15706, r15705, MPFR_RNDN);
        mpfr_mul(r15707, r15695, r15706, MPFR_RNDN);
        ;
        mpfr_pow(r15709, r15707, r15708, MPFR_RNDN);
        mpfr_set_d(r15710, U_, MPFR_RNDN);
        mpfr_sub(r15711, r15697, r15710, MPFR_RNDN);
        mpfr_mul(r15712, r15709, r15711, MPFR_RNDN);
        mpfr_sub(r15713, r15704, r15712, MPFR_RNDN);
        mpfr_mul(r15714, r15697, r15713, MPFR_RNDN);
        mpfr_mul(r15715, r15696, r15714, MPFR_RNDN);
        mpfr_sqrt(r15716, r15715, MPFR_RNDN);
        return mpfr_get_d(r15716, MPFR_RNDN);
}

