#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 r20482 = atan2(1.0, 0.0);
        float r20483 = l;
        float r20484 = r20482 * r20483;
        float r20485 = 1;
        float r20486 = F;
        float r20487 = r20486 * r20486;
        float r20488 = r20485 / r20487;
        float r20489 = tan(r20484);
        float r20490 = r20488 * r20489;
        float r20491 = r20484 - r20490;
        return r20491;
}

double f_id(double F, double l) {
        double r20492 = atan2(1.0, 0.0);
        double r20493 = l;
        double r20494 = r20492 * r20493;
        double r20495 = 1;
        double r20496 = F;
        double r20497 = r20496 * r20496;
        double r20498 = r20495 / r20497;
        double r20499 = tan(r20494);
        double r20500 = r20498 * r20499;
        double r20501 = r20494 - r20500;
        return r20501;
}


double f_of(float F, float l) {
        float r20502 = atan2(1.0, 0.0);
        float r20503 = l;
        float r20504 = r20502 * r20503;
        float r20505 = 1;
        float r20506 = F;
        float r20507 = r20505 / r20506;
        float r20508 = r20506 / r20504;
        float r20509 = 1/3;
        float r20510 = r20509 * r20506;
        float r20511 = r20504 * r20510;
        float r20512 = r20508 - r20511;
        float r20513 = r20507 / r20512;
        float r20514 = r20504 - r20513;
        return r20514;
}

double f_od(double F, double l) {
        double r20515 = atan2(1.0, 0.0);
        double r20516 = l;
        double r20517 = r20515 * r20516;
        double r20518 = 1;
        double r20519 = F;
        double r20520 = r20518 / r20519;
        double r20521 = r20519 / r20517;
        double r20522 = 1/3;
        double r20523 = r20522 * r20519;
        double r20524 = r20517 * r20523;
        double r20525 = r20521 - r20524;
        double r20526 = r20520 / r20525;
        double r20527 = r20517 - r20526;
        return r20527;
}

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 r20528, r20529, r20530, r20531, r20532, r20533, r20534, r20535, r20536, r20537;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20528);
        mpfr_init(r20529);
        mpfr_init(r20530);
        mpfr_init_set_str(r20531, "1", 10, MPFR_RNDN);
        mpfr_init(r20532);
        mpfr_init(r20533);
        mpfr_init(r20534);
        mpfr_init(r20535);
        mpfr_init(r20536);
        mpfr_init(r20537);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20528, MPFR_RNDN);
        mpfr_set_d(r20529, l, MPFR_RNDN);
        mpfr_mul(r20530, r20528, r20529, MPFR_RNDN);
        ;
        mpfr_set_d(r20532, F, MPFR_RNDN);
        mpfr_mul(r20533, r20532, r20532, MPFR_RNDN);
        mpfr_div(r20534, r20531, r20533, MPFR_RNDN);
        mpfr_tan(r20535, r20530, MPFR_RNDN);
        mpfr_mul(r20536, r20534, r20535, MPFR_RNDN);
        mpfr_sub(r20537, r20530, r20536, MPFR_RNDN);
        return mpfr_get_d(r20537, MPFR_RNDN);
}

static mpfr_t r20538, r20539, r20540, r20541, r20542, r20543, r20544, r20545, r20546, r20547, r20548, r20549, r20550;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20538);
        mpfr_init(r20539);
        mpfr_init(r20540);
        mpfr_init_set_str(r20541, "1", 10, MPFR_RNDN);
        mpfr_init(r20542);
        mpfr_init(r20543);
        mpfr_init(r20544);
        mpfr_init_set_str(r20545, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20546);
        mpfr_init(r20547);
        mpfr_init(r20548);
        mpfr_init(r20549);
        mpfr_init(r20550);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20538, MPFR_RNDN);
        mpfr_set_d(r20539, l, MPFR_RNDN);
        mpfr_mul(r20540, r20538, r20539, MPFR_RNDN);
        ;
        mpfr_set_d(r20542, F, MPFR_RNDN);
        mpfr_div(r20543, r20541, r20542, MPFR_RNDN);
        mpfr_div(r20544, r20542, r20540, MPFR_RNDN);
        ;
        mpfr_mul(r20546, r20545, r20542, MPFR_RNDN);
        mpfr_mul(r20547, r20540, r20546, MPFR_RNDN);
        mpfr_sub(r20548, r20544, r20547, MPFR_RNDN);
        mpfr_div(r20549, r20543, r20548, MPFR_RNDN);
        mpfr_sub(r20550, r20540, r20549, MPFR_RNDN);
        return mpfr_get_d(r20550, MPFR_RNDN);
}

static mpfr_t r20551, r20552, r20553, r20554, r20555, r20556, r20557, r20558, r20559, r20560, r20561, r20562, r20563;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r20551);
        mpfr_init(r20552);
        mpfr_init(r20553);
        mpfr_init_set_str(r20554, "1", 10, MPFR_RNDN);
        mpfr_init(r20555);
        mpfr_init(r20556);
        mpfr_init(r20557);
        mpfr_init_set_str(r20558, "1/3", 10, MPFR_RNDN);
        mpfr_init(r20559);
        mpfr_init(r20560);
        mpfr_init(r20561);
        mpfr_init(r20562);
        mpfr_init(r20563);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20551, MPFR_RNDN);
        mpfr_set_d(r20552, l, MPFR_RNDN);
        mpfr_mul(r20553, r20551, r20552, MPFR_RNDN);
        ;
        mpfr_set_d(r20555, F, MPFR_RNDN);
        mpfr_div(r20556, r20554, r20555, MPFR_RNDN);
        mpfr_div(r20557, r20555, r20553, MPFR_RNDN);
        ;
        mpfr_mul(r20559, r20558, r20555, MPFR_RNDN);
        mpfr_mul(r20560, r20553, r20559, MPFR_RNDN);
        mpfr_sub(r20561, r20557, r20560, MPFR_RNDN);
        mpfr_div(r20562, r20556, r20561, MPFR_RNDN);
        mpfr_sub(r20563, r20553, r20562, MPFR_RNDN);
        return mpfr_get_d(r20563, MPFR_RNDN);
}