#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 r15534 = 2.0f;
        float r15535 = n;
        float r15536 = r15534 * r15535;
        float r15537 = U;
        float r15538 = r15536 * r15537;
        float r15539 = t;
        float r15540 = l;
        float r15541 = r15540 * r15540;
        float r15542 = Om;
        float r15543 = r15541 / r15542;
        float r15544 = r15534 * r15543;
        float r15545 = r15539 - r15544;
        float r15546 = r15540 / r15542;
        float r15547 = r15546 * r15546;
        float r15548 = r15535 * r15547;
        float r15549 = U_;
        float r15550 = r15537 - r15549;
        float r15551 = r15548 * r15550;
        float r15552 = r15545 - r15551;
        float r15553 = r15538 * r15552;
        float r15554 = sqrt(r15553);
        return r15554;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15555 = 2.0;
        double r15556 = n;
        double r15557 = r15555 * r15556;
        double r15558 = U;
        double r15559 = r15557 * r15558;
        double r15560 = t;
        double r15561 = l;
        double r15562 = r15561 * r15561;
        double r15563 = Om;
        double r15564 = r15562 / r15563;
        double r15565 = r15555 * r15564;
        double r15566 = r15560 - r15565;
        double r15567 = r15561 / r15563;
        double r15568 = r15567 * r15567;
        double r15569 = r15556 * r15568;
        double r15570 = U_;
        double r15571 = r15558 - r15570;
        double r15572 = r15569 * r15571;
        double r15573 = r15566 - r15572;
        double r15574 = r15559 * r15573;
        double r15575 = sqrt(r15574);
        return r15575;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15576 = 2.0f;
        float r15577 = n;
        float r15578 = r15576 * r15577;
        float r15579 = U;
        float r15580 = r15578 * r15579;
        float r15581 = t;
        float r15582 = l;
        float r15583 = Om;
        float r15584 = r15583 / r15582;
        float r15585 = r15582 / r15584;
        float r15586 = r15576 * r15585;
        float r15587 = r15581 - r15586;
        float r15588 = r15582 / r15583;
        float r15589 = r15577 * r15588;
        float r15590 = r15589 * r15588;
        float r15591 = U_;
        float r15592 = r15579 - r15591;
        float r15593 = r15590 * r15592;
        float r15594 = r15587 - r15593;
        float r15595 = r15580 * r15594;
        float r15596 = sqrt(r15595);
        return r15596;
}

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

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(r15653);
        mpfr_init(r15654);
        mpfr_init(r15655);
        mpfr_init(r15656);
        mpfr_init(r15657);
        mpfr_init(r15658);
        mpfr_init(r15659);
}

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_mul(r15643, r15641, r15642, MPFR_RNDN);
        mpfr_set_d(r15644, t, MPFR_RNDN);
        mpfr_set_d(r15645, l, MPFR_RNDN);
        mpfr_set_d(r15646, Om, MPFR_RNDN);
        mpfr_div(r15647, r15646, r15645, MPFR_RNDN);
        mpfr_div(r15648, r15645, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15639, r15648, MPFR_RNDN);
        mpfr_sub(r15650, r15644, r15649, MPFR_RNDN);
        mpfr_div(r15651, r15645, r15646, MPFR_RNDN);
        mpfr_mul(r15652, r15640, r15651, MPFR_RNDN);
        mpfr_mul(r15653, r15652, r15651, MPFR_RNDN);
        mpfr_set_d(r15654, U_, MPFR_RNDN);
        mpfr_sub(r15655, r15642, r15654, MPFR_RNDN);
        mpfr_mul(r15656, r15653, r15655, MPFR_RNDN);
        mpfr_sub(r15657, r15650, r15656, MPFR_RNDN);
        mpfr_mul(r15658, r15643, r15657, MPFR_RNDN);
        mpfr_sqrt(r15659, r15658, MPFR_RNDN);
        return mpfr_get_d(r15659, MPFR_RNDN);
}

static mpfr_t r15660, r15661, r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670, r15671, r15672, r15673, r15674, r15675, r15676, r15677, r15678, r15679, r15680;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15660, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15661, n, MPFR_RNDN);
        mpfr_mul(r15662, r15660, r15661, MPFR_RNDN);
        mpfr_set_d(r15663, U, MPFR_RNDN);
        mpfr_mul(r15664, r15662, r15663, MPFR_RNDN);
        mpfr_set_d(r15665, t, MPFR_RNDN);
        mpfr_set_d(r15666, l, MPFR_RNDN);
        mpfr_set_d(r15667, Om, MPFR_RNDN);
        mpfr_div(r15668, r15667, r15666, MPFR_RNDN);
        mpfr_div(r15669, r15666, r15668, MPFR_RNDN);
        mpfr_mul(r15670, r15660, r15669, MPFR_RNDN);
        mpfr_sub(r15671, r15665, r15670, MPFR_RNDN);
        mpfr_div(r15672, r15666, r15667, MPFR_RNDN);
        mpfr_mul(r15673, r15661, r15672, MPFR_RNDN);
        mpfr_mul(r15674, r15673, r15672, MPFR_RNDN);
        mpfr_set_d(r15675, U_, MPFR_RNDN);
        mpfr_sub(r15676, r15663, r15675, MPFR_RNDN);
        mpfr_mul(r15677, r15674, r15676, MPFR_RNDN);
        mpfr_sub(r15678, r15671, r15677, MPFR_RNDN);
        mpfr_mul(r15679, r15664, r15678, MPFR_RNDN);
        mpfr_sqrt(r15680, r15679, MPFR_RNDN);
        return mpfr_get_d(r15680, MPFR_RNDN);
}

