#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 r20427 = atan2(1.0, 0.0);
        float r20428 = l;
        float r20429 = r20427 * r20428;
        float r20430 = 1;
        float r20431 = F;
        float r20432 = r20431 * r20431;
        float r20433 = r20430 / r20432;
        float r20434 = tan(r20429);
        float r20435 = r20433 * r20434;
        float r20436 = r20429 - r20435;
        return r20436;
}

double f_id(double F, double l) {
        double r20437 = atan2(1.0, 0.0);
        double r20438 = l;
        double r20439 = r20437 * r20438;
        double r20440 = 1;
        double r20441 = F;
        double r20442 = r20441 * r20441;
        double r20443 = r20440 / r20442;
        double r20444 = tan(r20439);
        double r20445 = r20443 * r20444;
        double r20446 = r20439 - r20445;
        return r20446;
}


double f_of(float F, float l) {
        float r20447 = atan2(1.0, 0.0);
        float r20448 = l;
        float r20449 = r20447 * r20448;
        float r20450 = 1;
        float r20451 = F;
        float r20452 = r20450 / r20451;
        float r20453 = r20451 / r20447;
        float r20454 = r20453 / r20448;
        float r20455 = 1/3;
        float r20456 = r20455 * r20451;
        float r20457 = exp(r20449);
        float r20458 = log(r20457);
        float r20459 = r20456 * r20458;
        float r20460 = r20454 - r20459;
        float r20461 = r20452 / r20460;
        float r20462 = r20449 - r20461;
        return r20462;
}

double f_od(double F, double l) {
        double r20463 = atan2(1.0, 0.0);
        double r20464 = l;
        double r20465 = r20463 * r20464;
        double r20466 = 1;
        double r20467 = F;
        double r20468 = r20466 / r20467;
        double r20469 = r20467 / r20463;
        double r20470 = r20469 / r20464;
        double r20471 = 1/3;
        double r20472 = r20471 * r20467;
        double r20473 = exp(r20465);
        double r20474 = log(r20473);
        double r20475 = r20472 * r20474;
        double r20476 = r20470 - r20475;
        double r20477 = r20468 / r20476;
        double r20478 = r20465 - r20477;
        return r20478;
}

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 r20479, r20480, r20481, r20482, r20483, r20484, r20485, r20486, r20487, r20488;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20479);
        mpfr_init(r20480);
        mpfr_init(r20481);
        mpfr_init_set_str(r20482, "1", 10, MPFR_RNDN);
        mpfr_init(r20483);
        mpfr_init(r20484);
        mpfr_init(r20485);
        mpfr_init(r20486);
        mpfr_init(r20487);
        mpfr_init(r20488);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20479, MPFR_RNDN);
        mpfr_set_d(r20480, l, MPFR_RNDN);
        mpfr_mul(r20481, r20479, r20480, MPFR_RNDN);
        ;
        mpfr_set_d(r20483, F, MPFR_RNDN);
        mpfr_mul(r20484, r20483, r20483, MPFR_RNDN);
        mpfr_div(r20485, r20482, r20484, MPFR_RNDN);
        mpfr_tan(r20486, r20481, MPFR_RNDN);
        mpfr_mul(r20487, r20485, r20486, MPFR_RNDN);
        mpfr_sub(r20488, r20481, r20487, MPFR_RNDN);
        return mpfr_get_d(r20488, MPFR_RNDN);
}

static mpfr_t r20489, r20490, r20491, r20492, r20493, r20494, r20495, r20496, r20497, r20498, r20499, r20500, r20501, r20502, r20503, r20504;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20489);
        mpfr_init(r20490);
        mpfr_init(r20491);
        mpfr_init_set_str(r20492, "1", 10, MPFR_RNDN);
        mpfr_init(r20493);
        mpfr_init(r20494);
        mpfr_init(r20495);
        mpfr_init(r20496);
        mpfr_init_set_str(r20497, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20498);
        mpfr_init(r20499);
        mpfr_init(r20500);
        mpfr_init(r20501);
        mpfr_init(r20502);
        mpfr_init(r20503);
        mpfr_init(r20504);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20489, MPFR_RNDN);
        mpfr_set_d(r20490, l, MPFR_RNDN);
        mpfr_mul(r20491, r20489, r20490, MPFR_RNDN);
        ;
        mpfr_set_d(r20493, F, MPFR_RNDN);
        mpfr_div(r20494, r20492, r20493, MPFR_RNDN);
        mpfr_div(r20495, r20493, r20489, MPFR_RNDN);
        mpfr_div(r20496, r20495, r20490, MPFR_RNDN);
        ;
        mpfr_mul(r20498, r20497, r20493, MPFR_RNDN);
        mpfr_exp(r20499, r20491, MPFR_RNDN);
        mpfr_log(r20500, r20499, MPFR_RNDN);
        mpfr_mul(r20501, r20498, r20500, MPFR_RNDN);
        mpfr_sub(r20502, r20496, r20501, MPFR_RNDN);
        mpfr_div(r20503, r20494, r20502, MPFR_RNDN);
        mpfr_sub(r20504, r20491, r20503, MPFR_RNDN);
        return mpfr_get_d(r20504, MPFR_RNDN);
}

static mpfr_t r20505, r20506, r20507, r20508, r20509, r20510, r20511, r20512, r20513, r20514, r20515, r20516, r20517, r20518, r20519, r20520;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20505);
        mpfr_init(r20506);
        mpfr_init(r20507);
        mpfr_init_set_str(r20508, "1", 10, MPFR_RNDN);
        mpfr_init(r20509);
        mpfr_init(r20510);
        mpfr_init(r20511);
        mpfr_init(r20512);
        mpfr_init_set_str(r20513, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20514);
        mpfr_init(r20515);
        mpfr_init(r20516);
        mpfr_init(r20517);
        mpfr_init(r20518);
        mpfr_init(r20519);
        mpfr_init(r20520);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20505, MPFR_RNDN);
        mpfr_set_d(r20506, l, MPFR_RNDN);
        mpfr_mul(r20507, r20505, r20506, MPFR_RNDN);
        ;
        mpfr_set_d(r20509, F, MPFR_RNDN);
        mpfr_div(r20510, r20508, r20509, MPFR_RNDN);
        mpfr_div(r20511, r20509, r20505, MPFR_RNDN);
        mpfr_div(r20512, r20511, r20506, MPFR_RNDN);
        ;
        mpfr_mul(r20514, r20513, r20509, MPFR_RNDN);
        mpfr_exp(r20515, r20507, MPFR_RNDN);
        mpfr_log(r20516, r20515, MPFR_RNDN);
        mpfr_mul(r20517, r20514, r20516, MPFR_RNDN);
        mpfr_sub(r20518, r20512, r20517, MPFR_RNDN);
        mpfr_div(r20519, r20510, r20518, MPFR_RNDN);
        mpfr_sub(r20520, r20507, r20519, MPFR_RNDN);
        return mpfr_get_d(r20520, MPFR_RNDN);
}