#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 r15502 = 2.0f;
        float r15503 = n;
        float r15504 = r15502 * r15503;
        float r15505 = U;
        float r15506 = r15504 * r15505;
        float r15507 = t;
        float r15508 = l;
        float r15509 = r15508 * r15508;
        float r15510 = Om;
        float r15511 = r15509 / r15510;
        float r15512 = r15502 * r15511;
        float r15513 = r15507 - r15512;
        float r15514 = r15508 / r15510;
        float r15515 = r15514 * r15514;
        float r15516 = r15503 * r15515;
        float r15517 = U_;
        float r15518 = r15505 - r15517;
        float r15519 = r15516 * r15518;
        float r15520 = r15513 - r15519;
        float r15521 = r15506 * r15520;
        float r15522 = sqrt(r15521);
        return r15522;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15523 = 2.0;
        double r15524 = n;
        double r15525 = r15523 * r15524;
        double r15526 = U;
        double r15527 = r15525 * r15526;
        double r15528 = t;
        double r15529 = l;
        double r15530 = r15529 * r15529;
        double r15531 = Om;
        double r15532 = r15530 / r15531;
        double r15533 = r15523 * r15532;
        double r15534 = r15528 - r15533;
        double r15535 = r15529 / r15531;
        double r15536 = r15535 * r15535;
        double r15537 = r15524 * r15536;
        double r15538 = U_;
        double r15539 = r15526 - r15538;
        double r15540 = r15537 * r15539;
        double r15541 = r15534 - r15540;
        double r15542 = r15527 * r15541;
        double r15543 = sqrt(r15542);
        return r15543;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15544 = 2.0f;
        float r15545 = n;
        float r15546 = r15544 * r15545;
        float r15547 = U;
        float r15548 = t;
        float r15549 = l;
        float r15550 = Om;
        float r15551 = r15550 / r15549;
        float r15552 = r15549 / r15551;
        float r15553 = r15544 * r15552;
        float r15554 = r15548 - r15553;
        float r15555 = r15549 / r15550;
        float r15556 = r15555 * r15555;
        float r15557 = r15545 * r15556;
        float r15558 = 1.0f;
        float r15559 = pow(r15557, r15558);
        float r15560 = U_;
        float r15561 = r15547 - r15560;
        float r15562 = r15559 * r15561;
        float r15563 = r15554 - r15562;
        float r15564 = r15547 * r15563;
        float r15565 = r15546 * r15564;
        float r15566 = sqrt(r15565);
        return r15566;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15567 = 2.0;
        double r15568 = n;
        double r15569 = r15567 * r15568;
        double r15570 = U;
        double r15571 = t;
        double r15572 = l;
        double r15573 = Om;
        double r15574 = r15573 / r15572;
        double r15575 = r15572 / r15574;
        double r15576 = r15567 * r15575;
        double r15577 = r15571 - r15576;
        double r15578 = r15572 / r15573;
        double r15579 = r15578 * r15578;
        double r15580 = r15568 * r15579;
        double r15581 = 1.0;
        double r15582 = pow(r15580, r15581);
        double r15583 = U_;
        double r15584 = r15570 - r15583;
        double r15585 = r15582 * r15584;
        double r15586 = r15577 - r15585;
        double r15587 = r15570 * r15586;
        double r15588 = r15569 * r15587;
        double r15589 = sqrt(r15588);
        return r15589;
}

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 r15590, r15591, r15592, r15593, r15594, r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15590, "2", 10, MPFR_RNDN);
        mpfr_init(r15591);
        mpfr_init(r15592);
        mpfr_init(r15593);
        mpfr_init(r15594);
        mpfr_init(r15595);
        mpfr_init(r15596);
        mpfr_init(r15597);
        mpfr_init(r15598);
        mpfr_init(r15599);
        mpfr_init(r15600);
        mpfr_init(r15601);
        mpfr_init(r15602);
        mpfr_init(r15603);
        mpfr_init(r15604);
        mpfr_init(r15605);
        mpfr_init(r15606);
        mpfr_init(r15607);
        mpfr_init(r15608);
        mpfr_init(r15609);
        mpfr_init(r15610);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15591, n, MPFR_RNDN);
        mpfr_mul(r15592, r15590, r15591, MPFR_RNDN);
        mpfr_set_d(r15593, U, MPFR_RNDN);
        mpfr_mul(r15594, r15592, r15593, MPFR_RNDN);
        mpfr_set_d(r15595, t, MPFR_RNDN);
        mpfr_set_d(r15596, l, MPFR_RNDN);
        mpfr_sqr(r15597, r15596, MPFR_RNDN);
        mpfr_set_d(r15598, Om, MPFR_RNDN);
        mpfr_div(r15599, r15597, r15598, MPFR_RNDN);
        mpfr_mul(r15600, r15590, r15599, MPFR_RNDN);
        mpfr_sub(r15601, r15595, r15600, MPFR_RNDN);
        mpfr_div(r15602, r15596, r15598, MPFR_RNDN);
        mpfr_sqr(r15603, r15602, MPFR_RNDN);
        mpfr_mul(r15604, r15591, r15603, MPFR_RNDN);
        mpfr_set_d(r15605, U_, MPFR_RNDN);
        mpfr_sub(r15606, r15593, r15605, MPFR_RNDN);
        mpfr_mul(r15607, r15604, r15606, MPFR_RNDN);
        mpfr_sub(r15608, r15601, r15607, MPFR_RNDN);
        mpfr_mul(r15609, r15594, r15608, MPFR_RNDN);
        mpfr_sqrt(r15610, r15609, MPFR_RNDN);
        return mpfr_get_d(r15610, MPFR_RNDN);
}

static mpfr_t r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15611, "2", 10, MPFR_RNDN);
        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_set_str(r15625, "1", 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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15612, n, MPFR_RNDN);
        mpfr_mul(r15613, r15611, r15612, MPFR_RNDN);
        mpfr_set_d(r15614, U, MPFR_RNDN);
        mpfr_set_d(r15615, t, MPFR_RNDN);
        mpfr_set_d(r15616, l, MPFR_RNDN);
        mpfr_set_d(r15617, Om, MPFR_RNDN);
        mpfr_div(r15618, r15617, r15616, MPFR_RNDN);
        mpfr_div(r15619, r15616, r15618, MPFR_RNDN);
        mpfr_mul(r15620, r15611, r15619, MPFR_RNDN);
        mpfr_sub(r15621, r15615, r15620, MPFR_RNDN);
        mpfr_div(r15622, r15616, r15617, MPFR_RNDN);
        mpfr_sqr(r15623, r15622, MPFR_RNDN);
        mpfr_mul(r15624, r15612, r15623, MPFR_RNDN);
        ;
        mpfr_pow(r15626, r15624, r15625, MPFR_RNDN);
        mpfr_set_d(r15627, U_, MPFR_RNDN);
        mpfr_sub(r15628, r15614, r15627, MPFR_RNDN);
        mpfr_mul(r15629, r15626, r15628, MPFR_RNDN);
        mpfr_sub(r15630, r15621, r15629, MPFR_RNDN);
        mpfr_mul(r15631, r15614, r15630, MPFR_RNDN);
        mpfr_mul(r15632, r15613, r15631, MPFR_RNDN);
        mpfr_sqrt(r15633, r15632, MPFR_RNDN);
        return mpfr_get_d(r15633, MPFR_RNDN);
}

static mpfr_t r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15634, "2", 10, MPFR_RNDN);
        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_set_str(r15648, "1", 10, MPFR_RNDN);
        mpfr_init(r15649);
        mpfr_init(r15650);
        mpfr_init(r15651);
        mpfr_init(r15652);
        mpfr_init(r15653);
        mpfr_init(r15654);
        mpfr_init(r15655);
        mpfr_init(r15656);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15635, n, MPFR_RNDN);
        mpfr_mul(r15636, r15634, r15635, MPFR_RNDN);
        mpfr_set_d(r15637, U, MPFR_RNDN);
        mpfr_set_d(r15638, t, MPFR_RNDN);
        mpfr_set_d(r15639, l, MPFR_RNDN);
        mpfr_set_d(r15640, Om, MPFR_RNDN);
        mpfr_div(r15641, r15640, r15639, MPFR_RNDN);
        mpfr_div(r15642, r15639, r15641, MPFR_RNDN);
        mpfr_mul(r15643, r15634, r15642, MPFR_RNDN);
        mpfr_sub(r15644, r15638, r15643, MPFR_RNDN);
        mpfr_div(r15645, r15639, r15640, MPFR_RNDN);
        mpfr_sqr(r15646, r15645, MPFR_RNDN);
        mpfr_mul(r15647, r15635, r15646, MPFR_RNDN);
        ;
        mpfr_pow(r15649, r15647, r15648, MPFR_RNDN);
        mpfr_set_d(r15650, U_, MPFR_RNDN);
        mpfr_sub(r15651, r15637, r15650, MPFR_RNDN);
        mpfr_mul(r15652, r15649, r15651, MPFR_RNDN);
        mpfr_sub(r15653, r15644, r15652, MPFR_RNDN);
        mpfr_mul(r15654, r15637, r15653, MPFR_RNDN);
        mpfr_mul(r15655, r15636, r15654, MPFR_RNDN);
        mpfr_sqrt(r15656, r15655, MPFR_RNDN);
        return mpfr_get_d(r15656, MPFR_RNDN);
}

