#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 r15526 = 2.0f;
        float r15527 = n;
        float r15528 = r15526 * r15527;
        float r15529 = U;
        float r15530 = r15528 * r15529;
        float r15531 = t;
        float r15532 = l;
        float r15533 = r15532 * r15532;
        float r15534 = Om;
        float r15535 = r15533 / r15534;
        float r15536 = r15526 * r15535;
        float r15537 = r15531 - r15536;
        float r15538 = r15532 / r15534;
        float r15539 = r15538 * r15538;
        float r15540 = r15527 * r15539;
        float r15541 = U_;
        float r15542 = r15529 - r15541;
        float r15543 = r15540 * r15542;
        float r15544 = r15537 - r15543;
        float r15545 = r15530 * r15544;
        float r15546 = sqrt(r15545);
        return r15546;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15547 = 2.0;
        double r15548 = n;
        double r15549 = r15547 * r15548;
        double r15550 = U;
        double r15551 = r15549 * r15550;
        double r15552 = t;
        double r15553 = l;
        double r15554 = r15553 * r15553;
        double r15555 = Om;
        double r15556 = r15554 / r15555;
        double r15557 = r15547 * r15556;
        double r15558 = r15552 - r15557;
        double r15559 = r15553 / r15555;
        double r15560 = r15559 * r15559;
        double r15561 = r15548 * r15560;
        double r15562 = U_;
        double r15563 = r15550 - r15562;
        double r15564 = r15561 * r15563;
        double r15565 = r15558 - r15564;
        double r15566 = r15551 * r15565;
        double r15567 = sqrt(r15566);
        return r15567;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15568 = 2.0f;
        float r15569 = n;
        float r15570 = r15568 * r15569;
        float r15571 = U;
        float r15572 = r15570 * r15571;
        float r15573 = t;
        float r15574 = l;
        float r15575 = Om;
        float r15576 = r15575 / r15574;
        float r15577 = r15574 / r15576;
        float r15578 = r15568 * r15577;
        float r15579 = r15573 - r15578;
        float r15580 = r15574 / r15575;
        float r15581 = r15580 * r15580;
        float r15582 = r15569 * r15581;
        float r15583 = 1.0f;
        float r15584 = pow(r15582, r15583);
        float r15585 = U_;
        float r15586 = r15571 - r15585;
        float r15587 = r15584 * r15586;
        float r15588 = r15579 - r15587;
        float r15589 = r15572 * r15588;
        float r15590 = sqrt(r15589);
        return r15590;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15591 = 2.0;
        double r15592 = n;
        double r15593 = r15591 * r15592;
        double r15594 = U;
        double r15595 = r15593 * r15594;
        double r15596 = t;
        double r15597 = l;
        double r15598 = Om;
        double r15599 = r15598 / r15597;
        double r15600 = r15597 / r15599;
        double r15601 = r15591 * r15600;
        double r15602 = r15596 - r15601;
        double r15603 = r15597 / r15598;
        double r15604 = r15603 * r15603;
        double r15605 = r15592 * r15604;
        double r15606 = 1.0;
        double r15607 = pow(r15605, r15606);
        double r15608 = U_;
        double r15609 = r15594 - r15608;
        double r15610 = r15607 * r15609;
        double r15611 = r15602 - r15610;
        double r15612 = r15595 * r15611;
        double r15613 = sqrt(r15612);
        return r15613;
}

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 r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15614, "2", 10, MPFR_RNDN);
        mpfr_init(r15615);
        mpfr_init(r15616);
        mpfr_init(r15617);
        mpfr_init(r15618);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15615, n, MPFR_RNDN);
        mpfr_mul(r15616, r15614, r15615, MPFR_RNDN);
        mpfr_set_d(r15617, U, MPFR_RNDN);
        mpfr_mul(r15618, r15616, r15617, MPFR_RNDN);
        mpfr_set_d(r15619, t, MPFR_RNDN);
        mpfr_set_d(r15620, l, MPFR_RNDN);
        mpfr_sqr(r15621, r15620, MPFR_RNDN);
        mpfr_set_d(r15622, Om, MPFR_RNDN);
        mpfr_div(r15623, r15621, r15622, MPFR_RNDN);
        mpfr_mul(r15624, r15614, r15623, MPFR_RNDN);
        mpfr_sub(r15625, r15619, r15624, MPFR_RNDN);
        mpfr_div(r15626, r15620, r15622, MPFR_RNDN);
        mpfr_sqr(r15627, r15626, MPFR_RNDN);
        mpfr_mul(r15628, r15615, r15627, MPFR_RNDN);
        mpfr_set_d(r15629, U_, MPFR_RNDN);
        mpfr_sub(r15630, r15617, r15629, MPFR_RNDN);
        mpfr_mul(r15631, r15628, r15630, MPFR_RNDN);
        mpfr_sub(r15632, r15625, r15631, MPFR_RNDN);
        mpfr_mul(r15633, r15618, r15632, MPFR_RNDN);
        mpfr_sqrt(r15634, r15633, MPFR_RNDN);
        return mpfr_get_d(r15634, MPFR_RNDN);
}

static mpfr_t r15635, r15636, r15637, r15638, 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(r15635, "2", 10, MPFR_RNDN);
        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_set_str(r15650, "1", 10, MPFR_RNDN);
        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(r15636, n, MPFR_RNDN);
        mpfr_mul(r15637, r15635, r15636, MPFR_RNDN);
        mpfr_set_d(r15638, U, MPFR_RNDN);
        mpfr_mul(r15639, r15637, r15638, MPFR_RNDN);
        mpfr_set_d(r15640, t, MPFR_RNDN);
        mpfr_set_d(r15641, l, MPFR_RNDN);
        mpfr_set_d(r15642, Om, MPFR_RNDN);
        mpfr_div(r15643, r15642, r15641, MPFR_RNDN);
        mpfr_div(r15644, r15641, r15643, MPFR_RNDN);
        mpfr_mul(r15645, r15635, r15644, MPFR_RNDN);
        mpfr_sub(r15646, r15640, r15645, MPFR_RNDN);
        mpfr_div(r15647, r15641, r15642, MPFR_RNDN);
        mpfr_sqr(r15648, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15636, r15648, MPFR_RNDN);
        ;
        mpfr_pow(r15651, r15649, r15650, MPFR_RNDN);
        mpfr_set_d(r15652, U_, MPFR_RNDN);
        mpfr_sub(r15653, r15638, r15652, MPFR_RNDN);
        mpfr_mul(r15654, r15651, r15653, MPFR_RNDN);
        mpfr_sub(r15655, r15646, r15654, MPFR_RNDN);
        mpfr_mul(r15656, r15639, 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, r15677, r15678, r15679, r15680;

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_set_str(r15673, "1", 10, MPFR_RNDN);
        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(r15659, n, MPFR_RNDN);
        mpfr_mul(r15660, r15658, r15659, MPFR_RNDN);
        mpfr_set_d(r15661, U, MPFR_RNDN);
        mpfr_mul(r15662, r15660, r15661, MPFR_RNDN);
        mpfr_set_d(r15663, t, MPFR_RNDN);
        mpfr_set_d(r15664, l, MPFR_RNDN);
        mpfr_set_d(r15665, Om, MPFR_RNDN);
        mpfr_div(r15666, r15665, r15664, MPFR_RNDN);
        mpfr_div(r15667, r15664, r15666, MPFR_RNDN);
        mpfr_mul(r15668, r15658, r15667, MPFR_RNDN);
        mpfr_sub(r15669, r15663, r15668, MPFR_RNDN);
        mpfr_div(r15670, r15664, r15665, MPFR_RNDN);
        mpfr_sqr(r15671, r15670, MPFR_RNDN);
        mpfr_mul(r15672, r15659, r15671, MPFR_RNDN);
        ;
        mpfr_pow(r15674, r15672, r15673, MPFR_RNDN);
        mpfr_set_d(r15675, U_, MPFR_RNDN);
        mpfr_sub(r15676, r15661, r15675, MPFR_RNDN);
        mpfr_mul(r15677, r15674, r15676, MPFR_RNDN);
        mpfr_sub(r15678, r15669, r15677, MPFR_RNDN);
        mpfr_mul(r15679, r15662, r15678, MPFR_RNDN);
        mpfr_sqrt(r15680, r15679, MPFR_RNDN);
        return mpfr_get_d(r15680, MPFR_RNDN);
}

