#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 r21471 = atan2(1.0, 0.0);
        float r21472 = l;
        float r21473 = r21471 * r21472;
        float r21474 = 1;
        float r21475 = F;
        float r21476 = r21475 * r21475;
        float r21477 = r21474 / r21476;
        float r21478 = tan(r21473);
        float r21479 = r21477 * r21478;
        float r21480 = r21473 - r21479;
        return r21480;
}

double f_id(double F, double l) {
        double r21481 = atan2(1.0, 0.0);
        double r21482 = l;
        double r21483 = r21481 * r21482;
        double r21484 = 1;
        double r21485 = F;
        double r21486 = r21485 * r21485;
        double r21487 = r21484 / r21486;
        double r21488 = tan(r21483);
        double r21489 = r21487 * r21488;
        double r21490 = r21483 - r21489;
        return r21490;
}


double f_of(float F, float l) {
        float r21491 = l;
        float r21492 = atan2(1.0, 0.0);
        float r21493 = r21491 * r21492;
        float r21494 = tan(r21493);
        float r21495 = F;
        float r21496 = r21494 / r21495;
        float r21497 = r21496 / r21495;
        float r21498 = r21493 - r21497;
        return r21498;
}

double f_od(double F, double l) {
        double r21499 = l;
        double r21500 = atan2(1.0, 0.0);
        double r21501 = r21499 * r21500;
        double r21502 = tan(r21501);
        double r21503 = F;
        double r21504 = r21502 / r21503;
        double r21505 = r21504 / r21503;
        double r21506 = r21501 - r21505;
        return r21506;
}

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 r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init(r21509);
        mpfr_init_set_str(r21510, "1", 10, MPFR_RNDN);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21507, MPFR_RNDN);
        mpfr_set_d(r21508, l, MPFR_RNDN);
        mpfr_mul(r21509, r21507, r21508, MPFR_RNDN);
        ;
        mpfr_set_d(r21511, F, MPFR_RNDN);
        mpfr_mul(r21512, r21511, r21511, MPFR_RNDN);
        mpfr_div(r21513, r21510, r21512, MPFR_RNDN);
        mpfr_tan(r21514, r21509, MPFR_RNDN);
        mpfr_mul(r21515, r21513, r21514, MPFR_RNDN);
        mpfr_sub(r21516, r21509, r21515, MPFR_RNDN);
        return mpfr_get_d(r21516, MPFR_RNDN);
}

static mpfr_t r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21517);
        mpfr_init(r21518);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21517, l, MPFR_RNDN);
        mpfr_const_pi(r21518, MPFR_RNDN);
        mpfr_mul(r21519, r21517, r21518, MPFR_RNDN);
        mpfr_tan(r21520, r21519, MPFR_RNDN);
        mpfr_set_d(r21521, F, MPFR_RNDN);
        mpfr_div(r21522, r21520, r21521, MPFR_RNDN);
        mpfr_div(r21523, r21522, r21521, MPFR_RNDN);
        mpfr_sub(r21524, r21519, r21523, MPFR_RNDN);
        return mpfr_get_d(r21524, MPFR_RNDN);
}

static mpfr_t r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21525, l, MPFR_RNDN);
        mpfr_const_pi(r21526, MPFR_RNDN);
        mpfr_mul(r21527, r21525, r21526, MPFR_RNDN);
        mpfr_tan(r21528, r21527, MPFR_RNDN);
        mpfr_set_d(r21529, F, MPFR_RNDN);
        mpfr_div(r21530, r21528, r21529, MPFR_RNDN);
        mpfr_div(r21531, r21530, r21529, MPFR_RNDN);
        mpfr_sub(r21532, r21527, r21531, MPFR_RNDN);
        return mpfr_get_d(r21532, MPFR_RNDN);
}