#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 r15518 = 2.0f;
        float r15519 = n;
        float r15520 = r15518 * r15519;
        float r15521 = U;
        float r15522 = r15520 * r15521;
        float r15523 = t;
        float r15524 = l;
        float r15525 = r15524 * r15524;
        float r15526 = Om;
        float r15527 = r15525 / r15526;
        float r15528 = r15518 * r15527;
        float r15529 = r15523 - r15528;
        float r15530 = r15524 / r15526;
        float r15531 = r15530 * r15530;
        float r15532 = r15519 * r15531;
        float r15533 = U_;
        float r15534 = r15521 - r15533;
        float r15535 = r15532 * r15534;
        float r15536 = r15529 - r15535;
        float r15537 = r15522 * r15536;
        float r15538 = sqrt(r15537);
        return r15538;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15539 = 2.0;
        double r15540 = n;
        double r15541 = r15539 * r15540;
        double r15542 = U;
        double r15543 = r15541 * r15542;
        double r15544 = t;
        double r15545 = l;
        double r15546 = r15545 * r15545;
        double r15547 = Om;
        double r15548 = r15546 / r15547;
        double r15549 = r15539 * r15548;
        double r15550 = r15544 - r15549;
        double r15551 = r15545 / r15547;
        double r15552 = r15551 * r15551;
        double r15553 = r15540 * r15552;
        double r15554 = U_;
        double r15555 = r15542 - r15554;
        double r15556 = r15553 * r15555;
        double r15557 = r15550 - r15556;
        double r15558 = r15543 * r15557;
        double r15559 = sqrt(r15558);
        return r15559;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15560 = 2.0f;
        float r15561 = n;
        float r15562 = r15560 * r15561;
        float r15563 = U;
        float r15564 = t;
        float r15565 = l;
        float r15566 = Om;
        float r15567 = r15566 / r15565;
        float r15568 = r15565 / r15567;
        float r15569 = r15560 * r15568;
        float r15570 = r15564 - r15569;
        float r15571 = r15565 / r15566;
        float r15572 = r15571 * r15571;
        float r15573 = r15561 * r15572;
        float r15574 = U_;
        float r15575 = r15563 - r15574;
        float r15576 = r15573 * r15575;
        float r15577 = r15570 - r15576;
        float r15578 = r15563 * r15577;
        float r15579 = r15562 * 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 = t;
        double r15586 = l;
        double r15587 = Om;
        double r15588 = r15587 / r15586;
        double r15589 = r15586 / r15588;
        double r15590 = r15581 * r15589;
        double r15591 = r15585 - r15590;
        double r15592 = r15586 / r15587;
        double r15593 = r15592 * r15592;
        double r15594 = r15582 * r15593;
        double r15595 = U_;
        double r15596 = r15584 - r15595;
        double r15597 = r15594 * r15596;
        double r15598 = r15591 - r15597;
        double r15599 = r15584 * r15598;
        double r15600 = r15583 * r15599;
        double r15601 = sqrt(r15600);
        return r15601;
}

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 r15602, r15603, r15604, r15605, r15606, r15607, r15608, r15609, r15610, r15611, r15612, r15613, r15614, r15615, r15616, r15617, r15618, r15619, r15620, r15621, r15622;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15602, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15619);
        mpfr_init(r15620);
        mpfr_init(r15621);
        mpfr_init(r15622);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15603, n, MPFR_RNDN);
        mpfr_mul(r15604, r15602, r15603, MPFR_RNDN);
        mpfr_set_d(r15605, U, MPFR_RNDN);
        mpfr_mul(r15606, r15604, r15605, MPFR_RNDN);
        mpfr_set_d(r15607, t, MPFR_RNDN);
        mpfr_set_d(r15608, l, MPFR_RNDN);
        mpfr_sqr(r15609, r15608, MPFR_RNDN);
        mpfr_set_d(r15610, Om, MPFR_RNDN);
        mpfr_div(r15611, r15609, r15610, MPFR_RNDN);
        mpfr_mul(r15612, r15602, r15611, MPFR_RNDN);
        mpfr_sub(r15613, r15607, r15612, MPFR_RNDN);
        mpfr_div(r15614, r15608, r15610, MPFR_RNDN);
        mpfr_sqr(r15615, r15614, MPFR_RNDN);
        mpfr_mul(r15616, r15603, r15615, MPFR_RNDN);
        mpfr_set_d(r15617, U_, MPFR_RNDN);
        mpfr_sub(r15618, r15605, r15617, MPFR_RNDN);
        mpfr_mul(r15619, r15616, r15618, MPFR_RNDN);
        mpfr_sub(r15620, r15613, r15619, MPFR_RNDN);
        mpfr_mul(r15621, r15606, r15620, MPFR_RNDN);
        mpfr_sqrt(r15622, r15621, MPFR_RNDN);
        return mpfr_get_d(r15622, MPFR_RNDN);
}

static mpfr_t r15623, r15624, r15625, r15626, r15627, r15628, r15629, r15630, r15631, r15632, r15633, r15634, r15635, r15636, r15637, r15638, r15639, r15640, r15641, r15642, r15643;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15623, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15640);
        mpfr_init(r15641);
        mpfr_init(r15642);
        mpfr_init(r15643);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15624, n, MPFR_RNDN);
        mpfr_mul(r15625, r15623, r15624, MPFR_RNDN);
        mpfr_set_d(r15626, U, MPFR_RNDN);
        mpfr_set_d(r15627, t, MPFR_RNDN);
        mpfr_set_d(r15628, l, MPFR_RNDN);
        mpfr_set_d(r15629, Om, MPFR_RNDN);
        mpfr_div(r15630, r15629, r15628, MPFR_RNDN);
        mpfr_div(r15631, r15628, r15630, MPFR_RNDN);
        mpfr_mul(r15632, r15623, r15631, MPFR_RNDN);
        mpfr_sub(r15633, r15627, r15632, MPFR_RNDN);
        mpfr_div(r15634, r15628, r15629, MPFR_RNDN);
        mpfr_sqr(r15635, r15634, MPFR_RNDN);
        mpfr_mul(r15636, r15624, r15635, MPFR_RNDN);
        mpfr_set_d(r15637, U_, MPFR_RNDN);
        mpfr_sub(r15638, r15626, r15637, MPFR_RNDN);
        mpfr_mul(r15639, r15636, r15638, MPFR_RNDN);
        mpfr_sub(r15640, r15633, r15639, MPFR_RNDN);
        mpfr_mul(r15641, r15626, r15640, MPFR_RNDN);
        mpfr_mul(r15642, r15625, r15641, MPFR_RNDN);
        mpfr_sqrt(r15643, r15642, MPFR_RNDN);
        return mpfr_get_d(r15643, MPFR_RNDN);
}

static mpfr_t r15644, r15645, r15646, r15647, r15648, r15649, r15650, r15651, r15652, r15653, r15654, r15655, r15656, r15657, r15658, r15659, r15660, r15661, r15662, r15663, r15664;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15644, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15661);
        mpfr_init(r15662);
        mpfr_init(r15663);
        mpfr_init(r15664);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15645, n, MPFR_RNDN);
        mpfr_mul(r15646, r15644, r15645, MPFR_RNDN);
        mpfr_set_d(r15647, U, MPFR_RNDN);
        mpfr_set_d(r15648, t, MPFR_RNDN);
        mpfr_set_d(r15649, l, MPFR_RNDN);
        mpfr_set_d(r15650, Om, MPFR_RNDN);
        mpfr_div(r15651, r15650, r15649, MPFR_RNDN);
        mpfr_div(r15652, r15649, r15651, MPFR_RNDN);
        mpfr_mul(r15653, r15644, r15652, MPFR_RNDN);
        mpfr_sub(r15654, r15648, r15653, MPFR_RNDN);
        mpfr_div(r15655, r15649, r15650, MPFR_RNDN);
        mpfr_sqr(r15656, r15655, MPFR_RNDN);
        mpfr_mul(r15657, r15645, r15656, MPFR_RNDN);
        mpfr_set_d(r15658, U_, MPFR_RNDN);
        mpfr_sub(r15659, r15647, r15658, MPFR_RNDN);
        mpfr_mul(r15660, r15657, r15659, MPFR_RNDN);
        mpfr_sub(r15661, r15654, r15660, MPFR_RNDN);
        mpfr_mul(r15662, r15647, r15661, MPFR_RNDN);
        mpfr_mul(r15663, r15646, r15662, MPFR_RNDN);
        mpfr_sqrt(r15664, r15663, MPFR_RNDN);
        return mpfr_get_d(r15664, MPFR_RNDN);
}

