#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 r20413 = atan2(1.0, 0.0);
        float r20414 = l;
        float r20415 = r20413 * r20414;
        float r20416 = 1;
        float r20417 = F;
        float r20418 = r20417 * r20417;
        float r20419 = r20416 / r20418;
        float r20420 = tan(r20415);
        float r20421 = r20419 * r20420;
        float r20422 = r20415 - r20421;
        return r20422;
}

double f_id(double F, double l) {
        double r20423 = atan2(1.0, 0.0);
        double r20424 = l;
        double r20425 = r20423 * r20424;
        double r20426 = 1;
        double r20427 = F;
        double r20428 = r20427 * r20427;
        double r20429 = r20426 / r20428;
        double r20430 = tan(r20425);
        double r20431 = r20429 * r20430;
        double r20432 = r20425 - r20431;
        return r20432;
}


double f_of(float F, float l) {
        float r20433 = atan2(1.0, 0.0);
        float r20434 = l;
        float r20435 = r20433 * r20434;
        float r20436 = 1;
        float r20437 = F;
        float r20438 = r20436 / r20437;
        float r20439 = r20437 / r20433;
        float r20440 = r20439 / r20434;
        float r20441 = r20434 * r20437;
        float r20442 = 1/3;
        float r20443 = r20442 * r20433;
        float r20444 = r20441 * r20443;
        float r20445 = r20440 - r20444;
        float r20446 = r20438 / r20445;
        float r20447 = r20435 - r20446;
        return r20447;
}

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

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 r20463, r20464, r20465, r20466, r20467, r20468, r20469, r20470, r20471, r20472;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20463);
        mpfr_init(r20464);
        mpfr_init(r20465);
        mpfr_init_set_str(r20466, "1", 10, MPFR_RNDN);
        mpfr_init(r20467);
        mpfr_init(r20468);
        mpfr_init(r20469);
        mpfr_init(r20470);
        mpfr_init(r20471);
        mpfr_init(r20472);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20463, MPFR_RNDN);
        mpfr_set_d(r20464, l, MPFR_RNDN);
        mpfr_mul(r20465, r20463, r20464, MPFR_RNDN);
        ;
        mpfr_set_d(r20467, F, MPFR_RNDN);
        mpfr_mul(r20468, r20467, r20467, MPFR_RNDN);
        mpfr_div(r20469, r20466, r20468, MPFR_RNDN);
        mpfr_tan(r20470, r20465, MPFR_RNDN);
        mpfr_mul(r20471, r20469, r20470, MPFR_RNDN);
        mpfr_sub(r20472, r20465, r20471, MPFR_RNDN);
        return mpfr_get_d(r20472, MPFR_RNDN);
}

static mpfr_t r20473, r20474, r20475, r20476, r20477, r20478, r20479, r20480, r20481, r20482, r20483, r20484, r20485, r20486, r20487;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20473);
        mpfr_init(r20474);
        mpfr_init(r20475);
        mpfr_init_set_str(r20476, "1", 10, MPFR_RNDN);
        mpfr_init(r20477);
        mpfr_init(r20478);
        mpfr_init(r20479);
        mpfr_init(r20480);
        mpfr_init(r20481);
        mpfr_init_set_str(r20482, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20483);
        mpfr_init(r20484);
        mpfr_init(r20485);
        mpfr_init(r20486);
        mpfr_init(r20487);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20473, MPFR_RNDN);
        mpfr_set_d(r20474, l, MPFR_RNDN);
        mpfr_mul(r20475, r20473, r20474, MPFR_RNDN);
        ;
        mpfr_set_d(r20477, F, MPFR_RNDN);
        mpfr_div(r20478, r20476, r20477, MPFR_RNDN);
        mpfr_div(r20479, r20477, r20473, MPFR_RNDN);
        mpfr_div(r20480, r20479, r20474, MPFR_RNDN);
        mpfr_mul(r20481, r20474, r20477, MPFR_RNDN);
        ;
        mpfr_mul(r20483, r20482, r20473, MPFR_RNDN);
        mpfr_mul(r20484, r20481, r20483, MPFR_RNDN);
        mpfr_sub(r20485, r20480, r20484, MPFR_RNDN);
        mpfr_div(r20486, r20478, r20485, MPFR_RNDN);
        mpfr_sub(r20487, r20475, r20486, MPFR_RNDN);
        return mpfr_get_d(r20487, MPFR_RNDN);
}

static mpfr_t r20488, r20489, r20490, r20491, r20492, r20493, r20494, r20495, r20496, r20497, r20498, r20499, r20500, r20501, r20502;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20488);
        mpfr_init(r20489);
        mpfr_init(r20490);
        mpfr_init_set_str(r20491, "1", 10, MPFR_RNDN);
        mpfr_init(r20492);
        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);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20488, MPFR_RNDN);
        mpfr_set_d(r20489, l, MPFR_RNDN);
        mpfr_mul(r20490, r20488, r20489, MPFR_RNDN);
        ;
        mpfr_set_d(r20492, F, MPFR_RNDN);
        mpfr_div(r20493, r20491, r20492, MPFR_RNDN);
        mpfr_div(r20494, r20492, r20488, MPFR_RNDN);
        mpfr_div(r20495, r20494, r20489, MPFR_RNDN);
        mpfr_mul(r20496, r20489, r20492, MPFR_RNDN);
        ;
        mpfr_mul(r20498, r20497, r20488, MPFR_RNDN);
        mpfr_mul(r20499, r20496, r20498, MPFR_RNDN);
        mpfr_sub(r20500, r20495, r20499, MPFR_RNDN);
        mpfr_div(r20501, r20493, r20500, MPFR_RNDN);
        mpfr_sub(r20502, r20490, r20501, MPFR_RNDN);
        return mpfr_get_d(r20502, MPFR_RNDN);
}