#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 r20496 = atan2(1.0, 0.0);
        float r20497 = l;
        float r20498 = r20496 * r20497;
        float r20499 = 1;
        float r20500 = F;
        float r20501 = r20500 * r20500;
        float r20502 = r20499 / r20501;
        float r20503 = tan(r20498);
        float r20504 = r20502 * r20503;
        float r20505 = r20498 - r20504;
        return r20505;
}

double f_id(double F, double l) {
        double r20506 = atan2(1.0, 0.0);
        double r20507 = l;
        double r20508 = r20506 * r20507;
        double r20509 = 1;
        double r20510 = F;
        double r20511 = r20510 * r20510;
        double r20512 = r20509 / r20511;
        double r20513 = tan(r20508);
        double r20514 = r20512 * r20513;
        double r20515 = r20508 - r20514;
        return r20515;
}


double f_of(float F, float l) {
        float r20516 = atan2(1.0, 0.0);
        float r20517 = l;
        float r20518 = r20516 * r20517;
        float r20519 = 1;
        float r20520 = F;
        float r20521 = r20519 / r20520;
        float r20522 = r20520 / r20518;
        float r20523 = 1/3;
        float r20524 = r20523 * r20520;
        float r20525 = r20518 * r20524;
        float r20526 = r20522 - r20525;
        float r20527 = r20521 / r20526;
        float r20528 = r20518 - r20527;
        return r20528;
}

double f_od(double F, double l) {
        double r20529 = atan2(1.0, 0.0);
        double r20530 = l;
        double r20531 = r20529 * r20530;
        double r20532 = 1;
        double r20533 = F;
        double r20534 = r20532 / r20533;
        double r20535 = r20533 / r20531;
        double r20536 = 1/3;
        double r20537 = r20536 * r20533;
        double r20538 = r20531 * r20537;
        double r20539 = r20535 - r20538;
        double r20540 = r20534 / r20539;
        double r20541 = r20531 - r20540;
        return r20541;
}

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 r20542, r20543, r20544, r20545, r20546, r20547, r20548, r20549, r20550, r20551;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20542);
        mpfr_init(r20543);
        mpfr_init(r20544);
        mpfr_init_set_str(r20545, "1", 10, MPFR_RNDN);
        mpfr_init(r20546);
        mpfr_init(r20547);
        mpfr_init(r20548);
        mpfr_init(r20549);
        mpfr_init(r20550);
        mpfr_init(r20551);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20542, MPFR_RNDN);
        mpfr_set_d(r20543, l, MPFR_RNDN);
        mpfr_mul(r20544, r20542, r20543, MPFR_RNDN);
        ;
        mpfr_set_d(r20546, F, MPFR_RNDN);
        mpfr_mul(r20547, r20546, r20546, MPFR_RNDN);
        mpfr_div(r20548, r20545, r20547, MPFR_RNDN);
        mpfr_tan(r20549, r20544, MPFR_RNDN);
        mpfr_mul(r20550, r20548, r20549, MPFR_RNDN);
        mpfr_sub(r20551, r20544, r20550, MPFR_RNDN);
        return mpfr_get_d(r20551, MPFR_RNDN);
}

static mpfr_t r20552, r20553, r20554, r20555, r20556, r20557, r20558, r20559, r20560, r20561, r20562, r20563, r20564;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20552);
        mpfr_init(r20553);
        mpfr_init(r20554);
        mpfr_init_set_str(r20555, "1", 10, MPFR_RNDN);
        mpfr_init(r20556);
        mpfr_init(r20557);
        mpfr_init(r20558);
        mpfr_init_set_str(r20559, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20560);
        mpfr_init(r20561);
        mpfr_init(r20562);
        mpfr_init(r20563);
        mpfr_init(r20564);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20552, MPFR_RNDN);
        mpfr_set_d(r20553, l, MPFR_RNDN);
        mpfr_mul(r20554, r20552, r20553, MPFR_RNDN);
        ;
        mpfr_set_d(r20556, F, MPFR_RNDN);
        mpfr_div(r20557, r20555, r20556, MPFR_RNDN);
        mpfr_div(r20558, r20556, r20554, MPFR_RNDN);
        ;
        mpfr_mul(r20560, r20559, r20556, MPFR_RNDN);
        mpfr_mul(r20561, r20554, r20560, MPFR_RNDN);
        mpfr_sub(r20562, r20558, r20561, MPFR_RNDN);
        mpfr_div(r20563, r20557, r20562, MPFR_RNDN);
        mpfr_sub(r20564, r20554, r20563, MPFR_RNDN);
        return mpfr_get_d(r20564, MPFR_RNDN);
}

static mpfr_t r20565, r20566, r20567, r20568, r20569, r20570, r20571, r20572, r20573, r20574, r20575, r20576, r20577;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20565);
        mpfr_init(r20566);
        mpfr_init(r20567);
        mpfr_init_set_str(r20568, "1", 10, MPFR_RNDN);
        mpfr_init(r20569);
        mpfr_init(r20570);
        mpfr_init(r20571);
        mpfr_init_set_str(r20572, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20573);
        mpfr_init(r20574);
        mpfr_init(r20575);
        mpfr_init(r20576);
        mpfr_init(r20577);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20565, MPFR_RNDN);
        mpfr_set_d(r20566, l, MPFR_RNDN);
        mpfr_mul(r20567, r20565, r20566, MPFR_RNDN);
        ;
        mpfr_set_d(r20569, F, MPFR_RNDN);
        mpfr_div(r20570, r20568, r20569, MPFR_RNDN);
        mpfr_div(r20571, r20569, r20567, MPFR_RNDN);
        ;
        mpfr_mul(r20573, r20572, r20569, MPFR_RNDN);
        mpfr_mul(r20574, r20567, r20573, MPFR_RNDN);
        mpfr_sub(r20575, r20571, r20574, MPFR_RNDN);
        mpfr_div(r20576, r20570, r20575, MPFR_RNDN);
        mpfr_sub(r20577, r20567, r20576, MPFR_RNDN);
        return mpfr_get_d(r20577, MPFR_RNDN);
}