#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 r21311 = atan2(1.0, 0.0);
        float r21312 = l;
        float r21313 = r21311 * r21312;
        float r21314 = 1;
        float r21315 = F;
        float r21316 = r21315 * r21315;
        float r21317 = r21314 / r21316;
        float r21318 = tan(r21313);
        float r21319 = r21317 * r21318;
        float r21320 = r21313 - r21319;
        return r21320;
}

double f_id(double F, double l) {
        double r21321 = atan2(1.0, 0.0);
        double r21322 = l;
        double r21323 = r21321 * r21322;
        double r21324 = 1;
        double r21325 = F;
        double r21326 = r21325 * r21325;
        double r21327 = r21324 / r21326;
        double r21328 = tan(r21323);
        double r21329 = r21327 * r21328;
        double r21330 = r21323 - r21329;
        return r21330;
}


double f_of(float F, float l) {
        float r21331 = l;
        float r21332 = atan2(1.0, 0.0);
        float r21333 = r21331 * r21332;
        float r21334 = tan(r21333);
        float r21335 = cbrt(r21334);
        float r21336 = r21335 * r21335;
        float r21337 = sin(r21333);
        float r21338 = cos(r21333);
        float r21339 = r21337 / r21338;
        float r21340 = cbrt(r21339);
        float r21341 = r21336 * r21340;
        float r21342 = cbrt(r21341);
        float r21343 = F;
        float r21344 = r21343 / r21335;
        float r21345 = r21344 * r21344;
        float r21346 = r21342 / r21345;
        float r21347 = r21333 - r21346;
        return r21347;
}

double f_od(double F, double l) {
        double r21348 = l;
        double r21349 = atan2(1.0, 0.0);
        double r21350 = r21348 * r21349;
        double r21351 = tan(r21350);
        double r21352 = cbrt(r21351);
        double r21353 = r21352 * r21352;
        double r21354 = sin(r21350);
        double r21355 = cos(r21350);
        double r21356 = r21354 / r21355;
        double r21357 = cbrt(r21356);
        double r21358 = r21353 * r21357;
        double r21359 = cbrt(r21358);
        double r21360 = F;
        double r21361 = r21360 / r21352;
        double r21362 = r21361 * r21361;
        double r21363 = r21359 / r21362;
        double r21364 = r21350 - r21363;
        return r21364;
}

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 r21365, r21366, r21367, r21368, r21369, r21370, r21371, r21372, r21373, r21374;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21365);
        mpfr_init(r21366);
        mpfr_init(r21367);
        mpfr_init_set_str(r21368, "1", 10, MPFR_RNDN);
        mpfr_init(r21369);
        mpfr_init(r21370);
        mpfr_init(r21371);
        mpfr_init(r21372);
        mpfr_init(r21373);
        mpfr_init(r21374);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21365, MPFR_RNDN);
        mpfr_set_d(r21366, l, MPFR_RNDN);
        mpfr_mul(r21367, r21365, r21366, MPFR_RNDN);
        ;
        mpfr_set_d(r21369, F, MPFR_RNDN);
        mpfr_mul(r21370, r21369, r21369, MPFR_RNDN);
        mpfr_div(r21371, r21368, r21370, MPFR_RNDN);
        mpfr_tan(r21372, r21367, MPFR_RNDN);
        mpfr_mul(r21373, r21371, r21372, MPFR_RNDN);
        mpfr_sub(r21374, r21367, r21373, MPFR_RNDN);
        return mpfr_get_d(r21374, MPFR_RNDN);
}

static mpfr_t r21375, r21376, r21377, r21378, r21379, r21380, r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21375);
        mpfr_init(r21376);
        mpfr_init(r21377);
        mpfr_init(r21378);
        mpfr_init(r21379);
        mpfr_init(r21380);
        mpfr_init(r21381);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21375, l, MPFR_RNDN);
        mpfr_const_pi(r21376, MPFR_RNDN);
        mpfr_mul(r21377, r21375, r21376, MPFR_RNDN);
        mpfr_tan(r21378, r21377, MPFR_RNDN);
        mpfr_cbrt(r21379, r21378, MPFR_RNDN);
        mpfr_mul(r21380, r21379, r21379, MPFR_RNDN);
        mpfr_sin(r21381, r21377, MPFR_RNDN);
        mpfr_cos(r21382, r21377, MPFR_RNDN);
        mpfr_div(r21383, r21381, r21382, MPFR_RNDN);
        mpfr_cbrt(r21384, r21383, MPFR_RNDN);
        mpfr_mul(r21385, r21380, r21384, MPFR_RNDN);
        mpfr_cbrt(r21386, r21385, MPFR_RNDN);
        mpfr_set_d(r21387, F, MPFR_RNDN);
        mpfr_div(r21388, r21387, r21379, MPFR_RNDN);
        mpfr_mul(r21389, r21388, r21388, MPFR_RNDN);
        mpfr_div(r21390, r21386, r21389, MPFR_RNDN);
        mpfr_sub(r21391, r21377, r21390, MPFR_RNDN);
        return mpfr_get_d(r21391, MPFR_RNDN);
}

static mpfr_t r21392, r21393, r21394, r21395, r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404, r21405, r21406, r21407, r21408;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init(r21395);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init(r21400);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21392, l, MPFR_RNDN);
        mpfr_const_pi(r21393, MPFR_RNDN);
        mpfr_mul(r21394, r21392, r21393, MPFR_RNDN);
        mpfr_tan(r21395, r21394, MPFR_RNDN);
        mpfr_cbrt(r21396, r21395, MPFR_RNDN);
        mpfr_mul(r21397, r21396, r21396, MPFR_RNDN);
        mpfr_sin(r21398, r21394, MPFR_RNDN);
        mpfr_cos(r21399, r21394, MPFR_RNDN);
        mpfr_div(r21400, r21398, r21399, MPFR_RNDN);
        mpfr_cbrt(r21401, r21400, MPFR_RNDN);
        mpfr_mul(r21402, r21397, r21401, MPFR_RNDN);
        mpfr_cbrt(r21403, r21402, MPFR_RNDN);
        mpfr_set_d(r21404, F, MPFR_RNDN);
        mpfr_div(r21405, r21404, r21396, MPFR_RNDN);
        mpfr_mul(r21406, r21405, r21405, MPFR_RNDN);
        mpfr_div(r21407, r21403, r21406, MPFR_RNDN);
        mpfr_sub(r21408, r21394, r21407, MPFR_RNDN);
        return mpfr_get_d(r21408, MPFR_RNDN);
}