#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "VandenBroeck and Keller, Equation (6)";

double f_if(float F, float l) {
        float r21471 = atan2(1.0, 0.0);
        float r21472 = l;
        float r21473 = r21471 * r21472;
        float r21474 = 1;
        float r21475 = F;
        float r21476 = r21475 * r21475;
        float r21477 = r21474 / r21476;
        float r21478 = tan(r21473);
        float r21479 = r21477 * r21478;
        float r21480 = r21473 - r21479;
        return r21480;
}

double f_id(double F, double l) {
        double r21481 = atan2(1.0, 0.0);
        double r21482 = l;
        double r21483 = r21481 * r21482;
        double r21484 = 1;
        double r21485 = F;
        double r21486 = r21485 * r21485;
        double r21487 = r21484 / r21486;
        double r21488 = tan(r21483);
        double r21489 = r21487 * r21488;
        double r21490 = r21483 - r21489;
        return r21490;
}


double f_of(float F, float l) {
        float r21491 = l;
        float r21492 = atan2(1.0, 0.0);
        float r21493 = r21491 * r21492;
        float r21494 = tan(r21493);
        float r21495 = cbrt(r21494);
        float r21496 = r21495 * r21495;
        float r21497 = sin(r21493);
        float r21498 = cos(r21493);
        float r21499 = r21497 / r21498;
        float r21500 = cbrt(r21499);
        float r21501 = r21496 * r21500;
        float r21502 = cbrt(r21501);
        float r21503 = F;
        float r21504 = r21503 / r21495;
        float r21505 = r21504 * r21504;
        float r21506 = r21502 / r21505;
        float r21507 = r21493 - r21506;
        return r21507;
}

double f_od(double F, double l) {
        double r21508 = l;
        double r21509 = atan2(1.0, 0.0);
        double r21510 = r21508 * r21509;
        double r21511 = tan(r21510);
        double r21512 = cbrt(r21511);
        double r21513 = r21512 * r21512;
        double r21514 = sin(r21510);
        double r21515 = cos(r21510);
        double r21516 = r21514 / r21515;
        double r21517 = cbrt(r21516);
        double r21518 = r21513 * r21517;
        double r21519 = cbrt(r21518);
        double r21520 = F;
        double r21521 = r21520 / r21512;
        double r21522 = r21521 * r21521;
        double r21523 = r21519 / r21522;
        double r21524 = r21510 - r21523;
        return r21524;
}

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 r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init_set_str(r21528, "1", 10, MPFR_RNDN);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21525, MPFR_RNDN);
        mpfr_set_d(r21526, l, MPFR_RNDN);
        mpfr_mul(r21527, r21525, r21526, MPFR_RNDN);
        ;
        mpfr_set_d(r21529, F, MPFR_RNDN);
        mpfr_mul(r21530, r21529, r21529, MPFR_RNDN);
        mpfr_div(r21531, r21528, r21530, MPFR_RNDN);
        mpfr_tan(r21532, r21527, MPFR_RNDN);
        mpfr_mul(r21533, r21531, r21532, MPFR_RNDN);
        mpfr_sub(r21534, r21527, r21533, MPFR_RNDN);
        return mpfr_get_d(r21534, MPFR_RNDN);
}

static mpfr_t r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545, r21546, r21547, r21548, r21549, r21550, r21551;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21535);
        mpfr_init(r21536);
        mpfr_init(r21537);
        mpfr_init(r21538);
        mpfr_init(r21539);
        mpfr_init(r21540);
        mpfr_init(r21541);
        mpfr_init(r21542);
        mpfr_init(r21543);
        mpfr_init(r21544);
        mpfr_init(r21545);
        mpfr_init(r21546);
        mpfr_init(r21547);
        mpfr_init(r21548);
        mpfr_init(r21549);
        mpfr_init(r21550);
        mpfr_init(r21551);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21535, l, MPFR_RNDN);
        mpfr_const_pi(r21536, MPFR_RNDN);
        mpfr_mul(r21537, r21535, r21536, MPFR_RNDN);
        mpfr_tan(r21538, r21537, MPFR_RNDN);
        mpfr_cbrt(r21539, r21538, MPFR_RNDN);
        mpfr_mul(r21540, r21539, r21539, MPFR_RNDN);
        mpfr_sin(r21541, r21537, MPFR_RNDN);
        mpfr_cos(r21542, r21537, MPFR_RNDN);
        mpfr_div(r21543, r21541, r21542, MPFR_RNDN);
        mpfr_cbrt(r21544, r21543, MPFR_RNDN);
        mpfr_mul(r21545, r21540, r21544, MPFR_RNDN);
        mpfr_cbrt(r21546, r21545, MPFR_RNDN);
        mpfr_set_d(r21547, F, MPFR_RNDN);
        mpfr_div(r21548, r21547, r21539, MPFR_RNDN);
        mpfr_mul(r21549, r21548, r21548, MPFR_RNDN);
        mpfr_div(r21550, r21546, r21549, MPFR_RNDN);
        mpfr_sub(r21551, r21537, r21550, MPFR_RNDN);
        return mpfr_get_d(r21551, MPFR_RNDN);
}

static mpfr_t r21552, r21553, r21554, r21555, r21556, r21557, r21558, r21559, r21560, r21561, r21562, r21563, r21564, r21565, r21566, r21567, r21568;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21552);
        mpfr_init(r21553);
        mpfr_init(r21554);
        mpfr_init(r21555);
        mpfr_init(r21556);
        mpfr_init(r21557);
        mpfr_init(r21558);
        mpfr_init(r21559);
        mpfr_init(r21560);
        mpfr_init(r21561);
        mpfr_init(r21562);
        mpfr_init(r21563);
        mpfr_init(r21564);
        mpfr_init(r21565);
        mpfr_init(r21566);
        mpfr_init(r21567);
        mpfr_init(r21568);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21552, l, MPFR_RNDN);
        mpfr_const_pi(r21553, MPFR_RNDN);
        mpfr_mul(r21554, r21552, r21553, MPFR_RNDN);
        mpfr_tan(r21555, r21554, MPFR_RNDN);
        mpfr_cbrt(r21556, r21555, MPFR_RNDN);
        mpfr_mul(r21557, r21556, r21556, MPFR_RNDN);
        mpfr_sin(r21558, r21554, MPFR_RNDN);
        mpfr_cos(r21559, r21554, MPFR_RNDN);
        mpfr_div(r21560, r21558, r21559, MPFR_RNDN);
        mpfr_cbrt(r21561, r21560, MPFR_RNDN);
        mpfr_mul(r21562, r21557, r21561, MPFR_RNDN);
        mpfr_cbrt(r21563, r21562, MPFR_RNDN);
        mpfr_set_d(r21564, F, MPFR_RNDN);
        mpfr_div(r21565, r21564, r21556, MPFR_RNDN);
        mpfr_mul(r21566, r21565, r21565, MPFR_RNDN);
        mpfr_div(r21567, r21563, r21566, MPFR_RNDN);
        mpfr_sub(r21568, r21554, r21567, MPFR_RNDN);
        return mpfr_get_d(r21568, MPFR_RNDN);
}