#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 = t;
        float r15584 = l;
        float r15585 = Om;
        float r15586 = r15584 / r15585;
        float r15587 = U;
        float r15588 = U_;
        float r15589 = r15587 - r15588;
        float r15590 = r15586 * r15589;
        float r15591 = r15581 * r15586;
        float r15592 = r15580 * r15584;
        float r15593 = r15586 * r15592;
        float r15594 = fma(r15590, r15591, r15593);
        float r15595 = r15583 - r15594;
        float r15596 = r15595 * r15587;
        float r15597 = r15582 * r15596;
        float r15598 = sqrt(r15597);
        return r15598;
}

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

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);
}

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

static mpfr_t r15658, r15659, r15660, r15661, r15662, r15663, r15664, r15665, r15666, r15667, r15668, r15669, r15670, r15671, r15672, r15673, r15674, r15675, r15676;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15658, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15671);
        mpfr_init(r15672);
        mpfr_init(r15673);
        mpfr_init(r15674);
        mpfr_init(r15675);
        mpfr_init(r15676);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15659, n, MPFR_RNDN);
        mpfr_mul(r15660, r15658, r15659, MPFR_RNDN);
        mpfr_set_d(r15661, t, MPFR_RNDN);
        mpfr_set_d(r15662, l, MPFR_RNDN);
        mpfr_set_d(r15663, Om, MPFR_RNDN);
        mpfr_div(r15664, r15662, r15663, MPFR_RNDN);
        mpfr_set_d(r15665, U, MPFR_RNDN);
        mpfr_set_d(r15666, U_, MPFR_RNDN);
        mpfr_sub(r15667, r15665, r15666, MPFR_RNDN);
        mpfr_mul(r15668, r15664, r15667, MPFR_RNDN);
        mpfr_mul(r15669, r15659, r15664, MPFR_RNDN);
        mpfr_mul(r15670, r15658, r15662, MPFR_RNDN);
        mpfr_mul(r15671, r15664, r15670, MPFR_RNDN);
        mpfr_fma(r15672, r15668, r15669, r15671, MPFR_RNDN);
        mpfr_sub(r15673, r15661, r15672, MPFR_RNDN);
        mpfr_mul(r15674, r15673, r15665, MPFR_RNDN);
        mpfr_mul(r15675, r15660, r15674, MPFR_RNDN);
        mpfr_sqrt(r15676, r15675, MPFR_RNDN);
        return mpfr_get_d(r15676, MPFR_RNDN);
}

