#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 r15514 = 2.0f;
        float r15515 = n;
        float r15516 = r15514 * r15515;
        float r15517 = U;
        float r15518 = r15516 * r15517;
        float r15519 = t;
        float r15520 = l;
        float r15521 = r15520 * r15520;
        float r15522 = Om;
        float r15523 = r15521 / r15522;
        float r15524 = r15514 * r15523;
        float r15525 = r15519 - r15524;
        float r15526 = r15520 / r15522;
        float r15527 = r15526 * r15526;
        float r15528 = r15515 * r15527;
        float r15529 = U_;
        float r15530 = r15517 - r15529;
        float r15531 = r15528 * r15530;
        float r15532 = r15525 - r15531;
        float r15533 = r15518 * r15532;
        float r15534 = sqrt(r15533);
        return r15534;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15535 = 2.0;
        double r15536 = n;
        double r15537 = r15535 * r15536;
        double r15538 = U;
        double r15539 = r15537 * r15538;
        double r15540 = t;
        double r15541 = l;
        double r15542 = r15541 * r15541;
        double r15543 = Om;
        double r15544 = r15542 / r15543;
        double r15545 = r15535 * r15544;
        double r15546 = r15540 - r15545;
        double r15547 = r15541 / r15543;
        double r15548 = r15547 * r15547;
        double r15549 = r15536 * r15548;
        double r15550 = U_;
        double r15551 = r15538 - r15550;
        double r15552 = r15549 * r15551;
        double r15553 = r15546 - r15552;
        double r15554 = r15539 * r15553;
        double r15555 = sqrt(r15554);
        return r15555;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15556 = 2.0f;
        float r15557 = n;
        float r15558 = r15556 * r15557;
        float r15559 = U;
        float r15560 = r15558 * r15559;
        float r15561 = t;
        float r15562 = l;
        float r15563 = Om;
        float r15564 = r15563 / r15562;
        float r15565 = r15562 / r15564;
        float r15566 = r15556 * r15565;
        float r15567 = r15561 - r15566;
        float r15568 = r15562 / r15563;
        float r15569 = r15557 * r15568;
        float r15570 = cbrt(r15569);
        float r15571 = cbrt(r15568);
        float r15572 = r15570 * r15571;
        float r15573 = U_;
        float r15574 = r15559 - r15573;
        float r15575 = cbrt(r15574);
        float r15576 = r15572 * r15575;
        float r15577 = r15576 * (r15576 * r15576);
        float r15578 = r15567 - r15577;
        float r15579 = r15560 * r15578;
        float r15580 = sqrt(r15579);
        return r15580;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15581 = 2.0;
        double r15582 = n;
        double r15583 = r15581 * r15582;
        double r15584 = U;
        double r15585 = r15583 * r15584;
        double r15586 = t;
        double r15587 = l;
        double r15588 = Om;
        double r15589 = r15588 / r15587;
        double r15590 = r15587 / r15589;
        double r15591 = r15581 * r15590;
        double r15592 = r15586 - r15591;
        double r15593 = r15587 / r15588;
        double r15594 = r15582 * r15593;
        double r15595 = cbrt(r15594);
        double r15596 = cbrt(r15593);
        double r15597 = r15595 * r15596;
        double r15598 = U_;
        double r15599 = r15584 - r15598;
        double r15600 = cbrt(r15599);
        double r15601 = r15597 * r15600;
        double r15602 = r15601 * (r15601 * r15601);
        double r15603 = r15592 - r15602;
        double r15604 = r15585 * r15603;
        double r15605 = sqrt(r15604);
        return r15605;
}

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 r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15606, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15625);
        mpfr_init(r15626);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15607, n, MPFR_RNDN);
        mpfr_mul(r15608, r15606, r15607, MPFR_RNDN);
        mpfr_set_d(r15609, U, MPFR_RNDN);
        mpfr_mul(r15610, r15608, r15609, MPFR_RNDN);
        mpfr_set_d(r15611, t, MPFR_RNDN);
        mpfr_set_d(r15612, l, MPFR_RNDN);
        mpfr_sqr(r15613, r15612, MPFR_RNDN);
        mpfr_set_d(r15614, Om, MPFR_RNDN);
        mpfr_div(r15615, r15613, r15614, MPFR_RNDN);
        mpfr_mul(r15616, r15606, r15615, MPFR_RNDN);
        mpfr_sub(r15617, r15611, r15616, MPFR_RNDN);
        mpfr_div(r15618, r15612, r15614, MPFR_RNDN);
        mpfr_sqr(r15619, r15618, MPFR_RNDN);
        mpfr_mul(r15620, r15607, r15619, MPFR_RNDN);
        mpfr_set_d(r15621, U_, MPFR_RNDN);
        mpfr_sub(r15622, r15609, r15621, MPFR_RNDN);
        mpfr_mul(r15623, r15620, r15622, MPFR_RNDN);
        mpfr_sub(r15624, r15617, r15623, MPFR_RNDN);
        mpfr_mul(r15625, r15610, r15624, MPFR_RNDN);
        mpfr_sqrt(r15626, r15625, MPFR_RNDN);
        return mpfr_get_d(r15626, MPFR_RNDN);
}

static mpfr_t r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15627, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15645);
        mpfr_init(r15646);
        mpfr_init(r15647);
        mpfr_init(r15648);
        mpfr_init(r15649);
        mpfr_init(r15650);
        mpfr_init(r15651);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15628, n, MPFR_RNDN);
        mpfr_mul(r15629, r15627, r15628, MPFR_RNDN);
        mpfr_set_d(r15630, U, MPFR_RNDN);
        mpfr_mul(r15631, r15629, r15630, MPFR_RNDN);
        mpfr_set_d(r15632, t, MPFR_RNDN);
        mpfr_set_d(r15633, l, MPFR_RNDN);
        mpfr_set_d(r15634, Om, MPFR_RNDN);
        mpfr_div(r15635, r15634, r15633, MPFR_RNDN);
        mpfr_div(r15636, r15633, r15635, MPFR_RNDN);
        mpfr_mul(r15637, r15627, r15636, MPFR_RNDN);
        mpfr_sub(r15638, r15632, r15637, MPFR_RNDN);
        mpfr_div(r15639, r15633, r15634, MPFR_RNDN);
        mpfr_mul(r15640, r15628, r15639, MPFR_RNDN);
        mpfr_cbrt(r15641, r15640, MPFR_RNDN);
        mpfr_cbrt(r15642, r15639, MPFR_RNDN);
        mpfr_mul(r15643, r15641, r15642, MPFR_RNDN);
        mpfr_set_d(r15644, U_, MPFR_RNDN);
        mpfr_sub(r15645, r15630, r15644, MPFR_RNDN);
        mpfr_cbrt(r15646, r15645, MPFR_RNDN);
        mpfr_mul(r15647, r15643, r15646, MPFR_RNDN);
        mpfr_mul(r15648, r15647, r15647, MPFR_RNDN); mpfr_mul(r15648, r15648, r15647, MPFR_RNDN);
        mpfr_sub(r15649, r15638, r15648, MPFR_RNDN);
        mpfr_mul(r15650, r15631, r15649, MPFR_RNDN);
        mpfr_sqrt(r15651, r15650, MPFR_RNDN);
        return mpfr_get_d(r15651, MPFR_RNDN);
}

static mpfr_t r15652, r15653, r15654, r15655, r15656, r15657, 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(r15652, "2", 10, MPFR_RNDN);
        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);
        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(r15653, n, MPFR_RNDN);
        mpfr_mul(r15654, r15652, r15653, MPFR_RNDN);
        mpfr_set_d(r15655, U, MPFR_RNDN);
        mpfr_mul(r15656, r15654, r15655, MPFR_RNDN);
        mpfr_set_d(r15657, t, MPFR_RNDN);
        mpfr_set_d(r15658, l, MPFR_RNDN);
        mpfr_set_d(r15659, Om, MPFR_RNDN);
        mpfr_div(r15660, r15659, r15658, MPFR_RNDN);
        mpfr_div(r15661, r15658, r15660, MPFR_RNDN);
        mpfr_mul(r15662, r15652, r15661, MPFR_RNDN);
        mpfr_sub(r15663, r15657, r15662, MPFR_RNDN);
        mpfr_div(r15664, r15658, r15659, MPFR_RNDN);
        mpfr_mul(r15665, r15653, r15664, MPFR_RNDN);
        mpfr_cbrt(r15666, r15665, MPFR_RNDN);
        mpfr_cbrt(r15667, r15664, MPFR_RNDN);
        mpfr_mul(r15668, r15666, r15667, MPFR_RNDN);
        mpfr_set_d(r15669, U_, MPFR_RNDN);
        mpfr_sub(r15670, r15655, r15669, MPFR_RNDN);
        mpfr_cbrt(r15671, r15670, MPFR_RNDN);
        mpfr_mul(r15672, r15668, r15671, MPFR_RNDN);
        mpfr_mul(r15673, r15672, r15672, MPFR_RNDN); mpfr_mul(r15673, r15673, r15672, MPFR_RNDN);
        mpfr_sub(r15674, r15663, r15673, MPFR_RNDN);
        mpfr_mul(r15675, r15656, r15674, MPFR_RNDN);
        mpfr_sqrt(r15676, r15675, MPFR_RNDN);
        return mpfr_get_d(r15676, MPFR_RNDN);
}

