#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 = t;
        float r15561 = l;
        float r15562 = Om;
        float r15563 = r15562 / r15561;
        float r15564 = r15561 / r15563;
        float r15565 = r15556 * r15564;
        float r15566 = r15560 - r15565;
        float r15567 = r15561 / r15562;
        float r15568 = r15567 * r15567;
        float r15569 = r15557 * r15568;
        float r15570 = U_;
        float r15571 = r15559 - r15570;
        float r15572 = r15569 * r15571;
        float r15573 = r15566 - r15572;
        float r15574 = r15559 * r15573;
        float r15575 = r15558 * r15574;
        float r15576 = sqrt(r15575);
        return r15576;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15577 = 2.0;
        double r15578 = n;
        double r15579 = r15577 * r15578;
        double r15580 = U;
        double r15581 = t;
        double r15582 = l;
        double r15583 = Om;
        double r15584 = r15583 / r15582;
        double r15585 = r15582 / r15584;
        double r15586 = r15577 * r15585;
        double r15587 = r15581 - r15586;
        double r15588 = r15582 / r15583;
        double r15589 = r15588 * r15588;
        double r15590 = r15578 * r15589;
        double r15591 = U_;
        double r15592 = r15580 - r15591;
        double r15593 = r15590 * r15592;
        double r15594 = r15587 - r15593;
        double r15595 = r15580 * r15594;
        double r15596 = r15579 * r15595;
        double r15597 = sqrt(r15596);
        return r15597;
}

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 r15598, r15599, r15600, r15601, r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15598, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15611);
        mpfr_init(r15612);
        mpfr_init(r15613);
        mpfr_init(r15614);
        mpfr_init(r15615);
        mpfr_init(r15616);
        mpfr_init(r15617);
        mpfr_init(r15618);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15599, n, MPFR_RNDN);
        mpfr_mul(r15600, r15598, r15599, MPFR_RNDN);
        mpfr_set_d(r15601, U, MPFR_RNDN);
        mpfr_mul(r15602, r15600, r15601, MPFR_RNDN);
        mpfr_set_d(r15603, t, MPFR_RNDN);
        mpfr_set_d(r15604, l, MPFR_RNDN);
        mpfr_sqr(r15605, r15604, MPFR_RNDN);
        mpfr_set_d(r15606, Om, MPFR_RNDN);
        mpfr_div(r15607, r15605, r15606, MPFR_RNDN);
        mpfr_mul(r15608, r15598, r15607, MPFR_RNDN);
        mpfr_sub(r15609, r15603, r15608, MPFR_RNDN);
        mpfr_div(r15610, r15604, r15606, MPFR_RNDN);
        mpfr_sqr(r15611, r15610, MPFR_RNDN);
        mpfr_mul(r15612, r15599, r15611, MPFR_RNDN);
        mpfr_set_d(r15613, U_, MPFR_RNDN);
        mpfr_sub(r15614, r15601, r15613, MPFR_RNDN);
        mpfr_mul(r15615, r15612, r15614, MPFR_RNDN);
        mpfr_sub(r15616, r15609, r15615, MPFR_RNDN);
        mpfr_mul(r15617, r15602, r15616, MPFR_RNDN);
        mpfr_sqrt(r15618, r15617, MPFR_RNDN);
        return mpfr_get_d(r15618, MPFR_RNDN);
}

static mpfr_t r15619, r15620, r15621, r15622, r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15619, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15620, n, MPFR_RNDN);
        mpfr_mul(r15621, r15619, r15620, MPFR_RNDN);
        mpfr_set_d(r15622, U, MPFR_RNDN);
        mpfr_set_d(r15623, t, MPFR_RNDN);
        mpfr_set_d(r15624, l, MPFR_RNDN);
        mpfr_set_d(r15625, Om, MPFR_RNDN);
        mpfr_div(r15626, r15625, r15624, MPFR_RNDN);
        mpfr_div(r15627, r15624, r15626, MPFR_RNDN);
        mpfr_mul(r15628, r15619, r15627, MPFR_RNDN);
        mpfr_sub(r15629, r15623, r15628, MPFR_RNDN);
        mpfr_div(r15630, r15624, r15625, MPFR_RNDN);
        mpfr_sqr(r15631, r15630, MPFR_RNDN);
        mpfr_mul(r15632, r15620, r15631, MPFR_RNDN);
        mpfr_set_d(r15633, U_, MPFR_RNDN);
        mpfr_sub(r15634, r15622, r15633, MPFR_RNDN);
        mpfr_mul(r15635, r15632, r15634, MPFR_RNDN);
        mpfr_sub(r15636, r15629, r15635, MPFR_RNDN);
        mpfr_mul(r15637, r15622, r15636, MPFR_RNDN);
        mpfr_mul(r15638, r15621, r15637, MPFR_RNDN);
        mpfr_sqrt(r15639, r15638, MPFR_RNDN);
        return mpfr_get_d(r15639, MPFR_RNDN);
}

static mpfr_t r15640, r15641, r15642, r15643, r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15640, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15641, n, MPFR_RNDN);
        mpfr_mul(r15642, r15640, r15641, MPFR_RNDN);
        mpfr_set_d(r15643, U, MPFR_RNDN);
        mpfr_set_d(r15644, t, MPFR_RNDN);
        mpfr_set_d(r15645, l, MPFR_RNDN);
        mpfr_set_d(r15646, Om, MPFR_RNDN);
        mpfr_div(r15647, r15646, r15645, MPFR_RNDN);
        mpfr_div(r15648, r15645, r15647, MPFR_RNDN);
        mpfr_mul(r15649, r15640, r15648, MPFR_RNDN);
        mpfr_sub(r15650, r15644, r15649, MPFR_RNDN);
        mpfr_div(r15651, r15645, r15646, MPFR_RNDN);
        mpfr_sqr(r15652, r15651, MPFR_RNDN);
        mpfr_mul(r15653, r15641, r15652, MPFR_RNDN);
        mpfr_set_d(r15654, U_, MPFR_RNDN);
        mpfr_sub(r15655, r15643, r15654, MPFR_RNDN);
        mpfr_mul(r15656, r15653, r15655, MPFR_RNDN);
        mpfr_sub(r15657, r15650, r15656, MPFR_RNDN);
        mpfr_mul(r15658, r15643, r15657, MPFR_RNDN);
        mpfr_mul(r15659, r15642, r15658, MPFR_RNDN);
        mpfr_sqrt(r15660, r15659, MPFR_RNDN);
        return mpfr_get_d(r15660, MPFR_RNDN);
}

