#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 r15482 = 2.0f;
        float r15483 = n;
        float r15484 = r15482 * r15483;
        float r15485 = U;
        float r15486 = r15484 * r15485;
        float r15487 = t;
        float r15488 = l;
        float r15489 = r15488 * r15488;
        float r15490 = Om;
        float r15491 = r15489 / r15490;
        float r15492 = r15482 * r15491;
        float r15493 = r15487 - r15492;
        float r15494 = r15488 / r15490;
        float r15495 = r15494 * r15494;
        float r15496 = r15483 * r15495;
        float r15497 = U_;
        float r15498 = r15485 - r15497;
        float r15499 = r15496 * r15498;
        float r15500 = r15493 - r15499;
        float r15501 = r15486 * r15500;
        float r15502 = sqrt(r15501);
        return r15502;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15503 = 2.0;
        double r15504 = n;
        double r15505 = r15503 * r15504;
        double r15506 = U;
        double r15507 = r15505 * r15506;
        double r15508 = t;
        double r15509 = l;
        double r15510 = r15509 * r15509;
        double r15511 = Om;
        double r15512 = r15510 / r15511;
        double r15513 = r15503 * r15512;
        double r15514 = r15508 - r15513;
        double r15515 = r15509 / r15511;
        double r15516 = r15515 * r15515;
        double r15517 = r15504 * r15516;
        double r15518 = U_;
        double r15519 = r15506 - r15518;
        double r15520 = r15517 * r15519;
        double r15521 = r15514 - r15520;
        double r15522 = r15507 * r15521;
        double r15523 = sqrt(r15522);
        return r15523;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15524 = 2.0f;
        float r15525 = n;
        float r15526 = r15524 * r15525;
        float r15527 = U;
        float r15528 = t;
        float r15529 = l;
        float r15530 = Om;
        float r15531 = r15530 / r15529;
        float r15532 = r15529 / r15531;
        float r15533 = r15524 * r15532;
        float r15534 = r15528 - r15533;
        float r15535 = r15529 / r15530;
        float r15536 = r15535 * r15535;
        float r15537 = r15525 * r15536;
        float r15538 = U_;
        float r15539 = r15527 - r15538;
        float r15540 = r15537 * r15539;
        float r15541 = r15534 - r15540;
        float r15542 = r15527 * r15541;
        float r15543 = r15526 * r15542;
        float r15544 = sqrt(r15543);
        return r15544;
}

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

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 r15566, r15567, r15568, r15569, r15570, r15571, r15572, r15573, r15574, r15575, r15576, r15577, r15578, r15579, r15580, r15581, r15582, r15583, r15584, r15585, r15586;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15566, "2", 10, MPFR_RNDN);
        mpfr_init(r15567);
        mpfr_init(r15568);
        mpfr_init(r15569);
        mpfr_init(r15570);
        mpfr_init(r15571);
        mpfr_init(r15572);
        mpfr_init(r15573);
        mpfr_init(r15574);
        mpfr_init(r15575);
        mpfr_init(r15576);
        mpfr_init(r15577);
        mpfr_init(r15578);
        mpfr_init(r15579);
        mpfr_init(r15580);
        mpfr_init(r15581);
        mpfr_init(r15582);
        mpfr_init(r15583);
        mpfr_init(r15584);
        mpfr_init(r15585);
        mpfr_init(r15586);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15567, n, MPFR_RNDN);
        mpfr_mul(r15568, r15566, r15567, MPFR_RNDN);
        mpfr_set_d(r15569, U, MPFR_RNDN);
        mpfr_mul(r15570, r15568, r15569, MPFR_RNDN);
        mpfr_set_d(r15571, t, MPFR_RNDN);
        mpfr_set_d(r15572, l, MPFR_RNDN);
        mpfr_sqr(r15573, r15572, MPFR_RNDN);
        mpfr_set_d(r15574, Om, MPFR_RNDN);
        mpfr_div(r15575, r15573, r15574, MPFR_RNDN);
        mpfr_mul(r15576, r15566, r15575, MPFR_RNDN);
        mpfr_sub(r15577, r15571, r15576, MPFR_RNDN);
        mpfr_div(r15578, r15572, r15574, MPFR_RNDN);
        mpfr_sqr(r15579, r15578, MPFR_RNDN);
        mpfr_mul(r15580, r15567, r15579, MPFR_RNDN);
        mpfr_set_d(r15581, U_, MPFR_RNDN);
        mpfr_sub(r15582, r15569, r15581, MPFR_RNDN);
        mpfr_mul(r15583, r15580, r15582, MPFR_RNDN);
        mpfr_sub(r15584, r15577, r15583, MPFR_RNDN);
        mpfr_mul(r15585, r15570, r15584, MPFR_RNDN);
        mpfr_sqrt(r15586, r15585, MPFR_RNDN);
        return mpfr_get_d(r15586, MPFR_RNDN);
}

static mpfr_t r15587, r15588, r15589, r15590, r15591, r15592, r15593, r15594, r15595, r15596, r15597, r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15587, "2", 10, MPFR_RNDN);
        mpfr_init(r15588);
        mpfr_init(r15589);
        mpfr_init(r15590);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15588, n, MPFR_RNDN);
        mpfr_mul(r15589, r15587, r15588, MPFR_RNDN);
        mpfr_set_d(r15590, U, MPFR_RNDN);
        mpfr_set_d(r15591, t, MPFR_RNDN);
        mpfr_set_d(r15592, l, MPFR_RNDN);
        mpfr_set_d(r15593, Om, MPFR_RNDN);
        mpfr_div(r15594, r15593, r15592, MPFR_RNDN);
        mpfr_div(r15595, r15592, r15594, MPFR_RNDN);
        mpfr_mul(r15596, r15587, r15595, MPFR_RNDN);
        mpfr_sub(r15597, r15591, r15596, MPFR_RNDN);
        mpfr_div(r15598, r15592, r15593, MPFR_RNDN);
        mpfr_sqr(r15599, r15598, MPFR_RNDN);
        mpfr_mul(r15600, r15588, r15599, MPFR_RNDN);
        mpfr_set_d(r15601, U_, MPFR_RNDN);
        mpfr_sub(r15602, r15590, r15601, MPFR_RNDN);
        mpfr_mul(r15603, r15600, r15602, MPFR_RNDN);
        mpfr_sub(r15604, r15597, r15603, MPFR_RNDN);
        mpfr_mul(r15605, r15590, r15604, MPFR_RNDN);
        mpfr_mul(r15606, r15589, r15605, MPFR_RNDN);
        mpfr_sqrt(r15607, r15606, MPFR_RNDN);
        return mpfr_get_d(r15607, MPFR_RNDN);
}

static mpfr_t r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15608, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15627);
        mpfr_init(r15628);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15609, n, MPFR_RNDN);
        mpfr_mul(r15610, r15608, r15609, MPFR_RNDN);
        mpfr_set_d(r15611, U, MPFR_RNDN);
        mpfr_set_d(r15612, t, MPFR_RNDN);
        mpfr_set_d(r15613, l, MPFR_RNDN);
        mpfr_set_d(r15614, Om, MPFR_RNDN);
        mpfr_div(r15615, r15614, r15613, MPFR_RNDN);
        mpfr_div(r15616, r15613, r15615, MPFR_RNDN);
        mpfr_mul(r15617, r15608, r15616, MPFR_RNDN);
        mpfr_sub(r15618, r15612, r15617, MPFR_RNDN);
        mpfr_div(r15619, r15613, r15614, MPFR_RNDN);
        mpfr_sqr(r15620, r15619, MPFR_RNDN);
        mpfr_mul(r15621, r15609, r15620, MPFR_RNDN);
        mpfr_set_d(r15622, U_, MPFR_RNDN);
        mpfr_sub(r15623, r15611, r15622, MPFR_RNDN);
        mpfr_mul(r15624, r15621, r15623, MPFR_RNDN);
        mpfr_sub(r15625, r15618, r15624, MPFR_RNDN);
        mpfr_mul(r15626, r15611, r15625, MPFR_RNDN);
        mpfr_mul(r15627, r15610, r15626, MPFR_RNDN);
        mpfr_sqrt(r15628, r15627, MPFR_RNDN);
        return mpfr_get_d(r15628, MPFR_RNDN);
}

