#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 = n;
        float r15566 = r15564 * r15565;
        float r15567 = U;
        float r15568 = r15566 * r15567;
        float r15569 = t;
        float r15570 = l;
        float r15571 = Om;
        float r15572 = r15571 / r15570;
        float r15573 = r15570 / r15572;
        float r15574 = r15564 * r15573;
        float r15575 = r15569 - r15574;
        float r15576 = r15570 / r15571;
        float r15577 = r15576 * r15576;
        float r15578 = r15565 * r15577;
        float r15579 = 1.0f;
        float r15580 = pow(r15578, r15579);
        float r15581 = U_;
        float r15582 = r15567 - r15581;
        float r15583 = r15580 * r15582;
        float r15584 = r15575 - r15583;
        float r15585 = r15568 * r15584;
        float r15586 = sqrt(r15585);
        return r15586;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15587 = 2.0;
        double r15588 = n;
        double r15589 = r15587 * r15588;
        double r15590 = U;
        double r15591 = r15589 * r15590;
        double r15592 = t;
        double r15593 = l;
        double r15594 = Om;
        double r15595 = r15594 / r15593;
        double r15596 = r15593 / r15595;
        double r15597 = r15587 * r15596;
        double r15598 = r15592 - r15597;
        double r15599 = r15593 / r15594;
        double r15600 = r15599 * r15599;
        double r15601 = r15588 * r15600;
        double r15602 = 1.0;
        double r15603 = pow(r15601, r15602);
        double r15604 = U_;
        double r15605 = r15590 - r15604;
        double r15606 = r15603 * r15605;
        double r15607 = r15598 - r15606;
        double r15608 = r15591 * r15607;
        double r15609 = sqrt(r15608);
        return r15609;
}

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 r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15610, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15627);
        mpfr_init(r15628);
        mpfr_init(r15629);
        mpfr_init(r15630);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15611, n, MPFR_RNDN);
        mpfr_mul(r15612, r15610, r15611, MPFR_RNDN);
        mpfr_set_d(r15613, U, MPFR_RNDN);
        mpfr_mul(r15614, r15612, r15613, MPFR_RNDN);
        mpfr_set_d(r15615, t, MPFR_RNDN);
        mpfr_set_d(r15616, l, MPFR_RNDN);
        mpfr_sqr(r15617, r15616, MPFR_RNDN);
        mpfr_set_d(r15618, Om, MPFR_RNDN);
        mpfr_div(r15619, r15617, r15618, MPFR_RNDN);
        mpfr_mul(r15620, r15610, r15619, MPFR_RNDN);
        mpfr_sub(r15621, r15615, r15620, MPFR_RNDN);
        mpfr_div(r15622, r15616, r15618, MPFR_RNDN);
        mpfr_sqr(r15623, r15622, MPFR_RNDN);
        mpfr_mul(r15624, r15611, r15623, MPFR_RNDN);
        mpfr_set_d(r15625, U_, MPFR_RNDN);
        mpfr_sub(r15626, r15613, r15625, MPFR_RNDN);
        mpfr_mul(r15627, r15624, r15626, MPFR_RNDN);
        mpfr_sub(r15628, r15621, r15627, MPFR_RNDN);
        mpfr_mul(r15629, r15614, r15628, MPFR_RNDN);
        mpfr_sqrt(r15630, r15629, MPFR_RNDN);
        return mpfr_get_d(r15630, MPFR_RNDN);
}

static mpfr_t r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15631, "2", 10, MPFR_RNDN);
        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_set_str(r15646, "1", 10, MPFR_RNDN);
        mpfr_init(r15647);
        mpfr_init(r15648);
        mpfr_init(r15649);
        mpfr_init(r15650);
        mpfr_init(r15651);
        mpfr_init(r15652);
        mpfr_init(r15653);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15632, n, MPFR_RNDN);
        mpfr_mul(r15633, r15631, r15632, MPFR_RNDN);
        mpfr_set_d(r15634, U, MPFR_RNDN);
        mpfr_mul(r15635, r15633, r15634, MPFR_RNDN);
        mpfr_set_d(r15636, t, MPFR_RNDN);
        mpfr_set_d(r15637, l, MPFR_RNDN);
        mpfr_set_d(r15638, Om, MPFR_RNDN);
        mpfr_div(r15639, r15638, r15637, MPFR_RNDN);
        mpfr_div(r15640, r15637, r15639, MPFR_RNDN);
        mpfr_mul(r15641, r15631, r15640, MPFR_RNDN);
        mpfr_sub(r15642, r15636, r15641, MPFR_RNDN);
        mpfr_div(r15643, r15637, r15638, MPFR_RNDN);
        mpfr_sqr(r15644, r15643, MPFR_RNDN);
        mpfr_mul(r15645, r15632, r15644, MPFR_RNDN);
        ;
        mpfr_pow(r15647, r15645, r15646, MPFR_RNDN);
        mpfr_set_d(r15648, U_, MPFR_RNDN);
        mpfr_sub(r15649, r15634, r15648, MPFR_RNDN);
        mpfr_mul(r15650, r15647, r15649, MPFR_RNDN);
        mpfr_sub(r15651, r15642, r15650, MPFR_RNDN);
        mpfr_mul(r15652, r15635, r15651, MPFR_RNDN);
        mpfr_sqrt(r15653, r15652, MPFR_RNDN);
        return mpfr_get_d(r15653, MPFR_RNDN);
}

static mpfr_t 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(r15654, "2", 10, MPFR_RNDN);
        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_set_str(r15669, "1", 10, MPFR_RNDN);
        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(r15655, n, MPFR_RNDN);
        mpfr_mul(r15656, r15654, r15655, MPFR_RNDN);
        mpfr_set_d(r15657, U, MPFR_RNDN);
        mpfr_mul(r15658, r15656, r15657, MPFR_RNDN);
        mpfr_set_d(r15659, t, MPFR_RNDN);
        mpfr_set_d(r15660, l, MPFR_RNDN);
        mpfr_set_d(r15661, Om, MPFR_RNDN);
        mpfr_div(r15662, r15661, r15660, MPFR_RNDN);
        mpfr_div(r15663, r15660, r15662, MPFR_RNDN);
        mpfr_mul(r15664, r15654, r15663, MPFR_RNDN);
        mpfr_sub(r15665, r15659, r15664, MPFR_RNDN);
        mpfr_div(r15666, r15660, r15661, MPFR_RNDN);
        mpfr_sqr(r15667, r15666, MPFR_RNDN);
        mpfr_mul(r15668, r15655, r15667, MPFR_RNDN);
        ;
        mpfr_pow(r15670, r15668, r15669, MPFR_RNDN);
        mpfr_set_d(r15671, U_, MPFR_RNDN);
        mpfr_sub(r15672, r15657, r15671, MPFR_RNDN);
        mpfr_mul(r15673, r15670, r15672, MPFR_RNDN);
        mpfr_sub(r15674, r15665, r15673, MPFR_RNDN);
        mpfr_mul(r15675, r15658, r15674, MPFR_RNDN);
        mpfr_sqrt(r15676, r15675, MPFR_RNDN);
        return mpfr_get_d(r15676, MPFR_RNDN);
}

