#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 r21228 = atan2(1.0, 0.0);
        float r21229 = l;
        float r21230 = r21228 * r21229;
        float r21231 = 1;
        float r21232 = F;
        float r21233 = r21232 * r21232;
        float r21234 = r21231 / r21233;
        float r21235 = tan(r21230);
        float r21236 = r21234 * r21235;
        float r21237 = r21230 - r21236;
        return r21237;
}

double f_id(double F, double l) {
        double r21238 = atan2(1.0, 0.0);
        double r21239 = l;
        double r21240 = r21238 * r21239;
        double r21241 = 1;
        double r21242 = F;
        double r21243 = r21242 * r21242;
        double r21244 = r21241 / r21243;
        double r21245 = tan(r21240);
        double r21246 = r21244 * r21245;
        double r21247 = r21240 - r21246;
        return r21247;
}


double f_of(float F, float l) {
        float r21248 = l;
        float r21249 = atan2(1.0, 0.0);
        float r21250 = r21248 * r21249;
        float r21251 = tan(r21250);
        float r21252 = F;
        float r21253 = r21251 / r21252;
        float r21254 = r21253 / r21252;
        float r21255 = r21250 - r21254;
        return r21255;
}

double f_od(double F, double l) {
        double r21256 = l;
        double r21257 = atan2(1.0, 0.0);
        double r21258 = r21256 * r21257;
        double r21259 = tan(r21258);
        double r21260 = F;
        double r21261 = r21259 / r21260;
        double r21262 = r21261 / r21260;
        double r21263 = r21258 - r21262;
        return r21263;
}

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 r21264, r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272, r21273;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21264);
        mpfr_init(r21265);
        mpfr_init(r21266);
        mpfr_init_set_str(r21267, "1", 10, MPFR_RNDN);
        mpfr_init(r21268);
        mpfr_init(r21269);
        mpfr_init(r21270);
        mpfr_init(r21271);
        mpfr_init(r21272);
        mpfr_init(r21273);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21264, MPFR_RNDN);
        mpfr_set_d(r21265, l, MPFR_RNDN);
        mpfr_mul(r21266, r21264, r21265, MPFR_RNDN);
        ;
        mpfr_set_d(r21268, F, MPFR_RNDN);
        mpfr_mul(r21269, r21268, r21268, MPFR_RNDN);
        mpfr_div(r21270, r21267, r21269, MPFR_RNDN);
        mpfr_tan(r21271, r21266, MPFR_RNDN);
        mpfr_mul(r21272, r21270, r21271, MPFR_RNDN);
        mpfr_sub(r21273, r21266, r21272, MPFR_RNDN);
        return mpfr_get_d(r21273, MPFR_RNDN);
}

static mpfr_t r21274, r21275, r21276, r21277, r21278, r21279, r21280, r21281;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init(r21276);
        mpfr_init(r21277);
        mpfr_init(r21278);
        mpfr_init(r21279);
        mpfr_init(r21280);
        mpfr_init(r21281);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21274, l, MPFR_RNDN);
        mpfr_const_pi(r21275, MPFR_RNDN);
        mpfr_mul(r21276, r21274, r21275, MPFR_RNDN);
        mpfr_tan(r21277, r21276, MPFR_RNDN);
        mpfr_set_d(r21278, F, MPFR_RNDN);
        mpfr_div(r21279, r21277, r21278, MPFR_RNDN);
        mpfr_div(r21280, r21279, r21278, MPFR_RNDN);
        mpfr_sub(r21281, r21276, r21280, MPFR_RNDN);
        return mpfr_get_d(r21281, MPFR_RNDN);
}

static mpfr_t r21282, r21283, r21284, r21285, r21286, r21287, r21288, r21289;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21282);
        mpfr_init(r21283);
        mpfr_init(r21284);
        mpfr_init(r21285);
        mpfr_init(r21286);
        mpfr_init(r21287);
        mpfr_init(r21288);
        mpfr_init(r21289);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21282, l, MPFR_RNDN);
        mpfr_const_pi(r21283, MPFR_RNDN);
        mpfr_mul(r21284, r21282, r21283, MPFR_RNDN);
        mpfr_tan(r21285, r21284, MPFR_RNDN);
        mpfr_set_d(r21286, F, MPFR_RNDN);
        mpfr_div(r21287, r21285, r21286, MPFR_RNDN);
        mpfr_div(r21288, r21287, r21286, MPFR_RNDN);
        mpfr_sub(r21289, r21284, r21288, MPFR_RNDN);
        return mpfr_get_d(r21289, MPFR_RNDN);
}