#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 r15522 = 2.0f;
        float r15523 = n;
        float r15524 = r15522 * r15523;
        float r15525 = U;
        float r15526 = r15524 * r15525;
        float r15527 = t;
        float r15528 = l;
        float r15529 = r15528 * r15528;
        float r15530 = Om;
        float r15531 = r15529 / r15530;
        float r15532 = r15522 * r15531;
        float r15533 = r15527 - r15532;
        float r15534 = r15528 / r15530;
        float r15535 = r15534 * r15534;
        float r15536 = r15523 * r15535;
        float r15537 = U_;
        float r15538 = r15525 - r15537;
        float r15539 = r15536 * r15538;
        float r15540 = r15533 - r15539;
        float r15541 = r15526 * r15540;
        float r15542 = sqrt(r15541);
        return r15542;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15543 = 2.0;
        double r15544 = n;
        double r15545 = r15543 * r15544;
        double r15546 = U;
        double r15547 = r15545 * r15546;
        double r15548 = t;
        double r15549 = l;
        double r15550 = r15549 * r15549;
        double r15551 = Om;
        double r15552 = r15550 / r15551;
        double r15553 = r15543 * r15552;
        double r15554 = r15548 - r15553;
        double r15555 = r15549 / r15551;
        double r15556 = r15555 * r15555;
        double r15557 = r15544 * r15556;
        double r15558 = U_;
        double r15559 = r15546 - r15558;
        double r15560 = r15557 * r15559;
        double r15561 = r15554 - r15560;
        double r15562 = r15547 * r15561;
        double r15563 = sqrt(r15562);
        return r15563;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15564 = 2.0f;
        float r15565 = U;
        float r15566 = n;
        float r15567 = r15565 * r15566;
        float r15568 = r15564 * r15567;
        float r15569 = t;
        float r15570 = l;
        float r15571 = r15564 * r15570;
        float r15572 = Om;
        float r15573 = r15572 / r15570;
        float r15574 = r15571 / r15573;
        float r15575 = r15569 - r15574;
        float r15576 = U_;
        float r15577 = r15565 - r15576;
        float r15578 = r15577 / r15573;
        float r15579 = r15566 / r15573;
        float r15580 = r15578 * r15579;
        float r15581 = r15575 - r15580;
        float r15582 = r15568 * r15581;
        float r15583 = sqrt(r15582);
        return r15583;
}

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

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 r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15604, "2", 10, MPFR_RNDN);
        mpfr_init(r15605);
        mpfr_init(r15606);
        mpfr_init(r15607);
        mpfr_init(r15608);
        mpfr_init(r15609);
        mpfr_init(r15610);
        mpfr_init(r15611);
        mpfr_init(r15612);
        mpfr_init(r15613);
        mpfr_init(r15614);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15605, n, MPFR_RNDN);
        mpfr_mul(r15606, r15604, r15605, MPFR_RNDN);
        mpfr_set_d(r15607, U, MPFR_RNDN);
        mpfr_mul(r15608, r15606, r15607, MPFR_RNDN);
        mpfr_set_d(r15609, t, MPFR_RNDN);
        mpfr_set_d(r15610, l, MPFR_RNDN);
        mpfr_sqr(r15611, r15610, MPFR_RNDN);
        mpfr_set_d(r15612, Om, MPFR_RNDN);
        mpfr_div(r15613, r15611, r15612, MPFR_RNDN);
        mpfr_mul(r15614, r15604, r15613, MPFR_RNDN);
        mpfr_sub(r15615, r15609, r15614, MPFR_RNDN);
        mpfr_div(r15616, r15610, r15612, MPFR_RNDN);
        mpfr_sqr(r15617, r15616, MPFR_RNDN);
        mpfr_mul(r15618, r15605, r15617, MPFR_RNDN);
        mpfr_set_d(r15619, U_, MPFR_RNDN);
        mpfr_sub(r15620, r15607, r15619, MPFR_RNDN);
        mpfr_mul(r15621, r15618, r15620, MPFR_RNDN);
        mpfr_sub(r15622, r15615, r15621, MPFR_RNDN);
        mpfr_mul(r15623, r15608, r15622, MPFR_RNDN);
        mpfr_sqrt(r15624, r15623, MPFR_RNDN);
        return mpfr_get_d(r15624, MPFR_RNDN);
}

static mpfr_t r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15625, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15639);
        mpfr_init(r15640);
        mpfr_init(r15641);
        mpfr_init(r15642);
        mpfr_init(r15643);
        mpfr_init(r15644);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15626, U, MPFR_RNDN);
        mpfr_set_d(r15627, n, MPFR_RNDN);
        mpfr_mul(r15628, r15626, r15627, MPFR_RNDN);
        mpfr_mul(r15629, r15625, r15628, MPFR_RNDN);
        mpfr_set_d(r15630, t, MPFR_RNDN);
        mpfr_set_d(r15631, l, MPFR_RNDN);
        mpfr_mul(r15632, r15625, r15631, MPFR_RNDN);
        mpfr_set_d(r15633, Om, MPFR_RNDN);
        mpfr_div(r15634, r15633, r15631, MPFR_RNDN);
        mpfr_div(r15635, r15632, r15634, MPFR_RNDN);
        mpfr_sub(r15636, r15630, r15635, MPFR_RNDN);
        mpfr_set_d(r15637, U_, MPFR_RNDN);
        mpfr_sub(r15638, r15626, r15637, MPFR_RNDN);
        mpfr_div(r15639, r15638, r15634, MPFR_RNDN);
        mpfr_div(r15640, r15627, r15634, MPFR_RNDN);
        mpfr_mul(r15641, r15639, r15640, MPFR_RNDN);
        mpfr_sub(r15642, r15636, r15641, MPFR_RNDN);
        mpfr_mul(r15643, r15629, r15642, MPFR_RNDN);
        mpfr_sqrt(r15644, r15643, MPFR_RNDN);
        return mpfr_get_d(r15644, MPFR_RNDN);
}

static mpfr_t r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662, r15663, r15664;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15645, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15663);
        mpfr_init(r15664);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15646, U, MPFR_RNDN);
        mpfr_set_d(r15647, n, MPFR_RNDN);
        mpfr_mul(r15648, r15646, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15645, r15648, MPFR_RNDN);
        mpfr_set_d(r15650, t, MPFR_RNDN);
        mpfr_set_d(r15651, l, MPFR_RNDN);
        mpfr_mul(r15652, r15645, r15651, MPFR_RNDN);
        mpfr_set_d(r15653, Om, MPFR_RNDN);
        mpfr_div(r15654, r15653, r15651, MPFR_RNDN);
        mpfr_div(r15655, r15652, r15654, MPFR_RNDN);
        mpfr_sub(r15656, r15650, r15655, MPFR_RNDN);
        mpfr_set_d(r15657, U_, MPFR_RNDN);
        mpfr_sub(r15658, r15646, r15657, MPFR_RNDN);
        mpfr_div(r15659, r15658, r15654, MPFR_RNDN);
        mpfr_div(r15660, r15647, r15654, MPFR_RNDN);
        mpfr_mul(r15661, r15659, r15660, MPFR_RNDN);
        mpfr_sub(r15662, r15656, r15661, MPFR_RNDN);
        mpfr_mul(r15663, r15649, r15662, MPFR_RNDN);
        mpfr_sqrt(r15664, r15663, MPFR_RNDN);
        return mpfr_get_d(r15664, MPFR_RNDN);
}

