#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 r21237 = atan2(1.0, 0.0);
        float r21238 = l;
        float r21239 = r21237 * r21238;
        float r21240 = 1;
        float r21241 = F;
        float r21242 = r21241 * r21241;
        float r21243 = r21240 / r21242;
        float r21244 = tan(r21239);
        float r21245 = r21243 * r21244;
        float r21246 = r21239 - r21245;
        return r21246;
}

double f_id(double F, double l) {
        double r21247 = atan2(1.0, 0.0);
        double r21248 = l;
        double r21249 = r21247 * r21248;
        double r21250 = 1;
        double r21251 = F;
        double r21252 = r21251 * r21251;
        double r21253 = r21250 / r21252;
        double r21254 = tan(r21249);
        double r21255 = r21253 * r21254;
        double r21256 = r21249 - r21255;
        return r21256;
}


double f_of(float F, float l) {
        float r21257 = l;
        float r21258 = atan2(1.0, 0.0);
        float r21259 = r21257 * r21258;
        float r21260 = tan(r21259);
        float r21261 = F;
        float r21262 = r21260 / r21261;
        float r21263 = r21262 / r21261;
        float r21264 = r21259 - r21263;
        return r21264;
}

double f_od(double F, double l) {
        double r21265 = l;
        double r21266 = atan2(1.0, 0.0);
        double r21267 = r21265 * r21266;
        double r21268 = tan(r21267);
        double r21269 = F;
        double r21270 = r21268 / r21269;
        double r21271 = r21270 / r21269;
        double r21272 = r21267 - r21271;
        return r21272;
}

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 r21273, r21274, r21275, r21276, r21277, r21278, r21279, r21280, r21281, r21282;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(8208);
        mpfr_init(r21273);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init_set_str(r21276, "1", 10, MPFR_RNDN);
        mpfr_init(r21277);
        mpfr_init(r21278);
        mpfr_init(r21279);
        mpfr_init(r21280);
        mpfr_init(r21281);
        mpfr_init(r21282);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21273, MPFR_RNDN);
        mpfr_set_d(r21274, l, MPFR_RNDN);
        mpfr_mul(r21275, r21273, r21274, MPFR_RNDN);
        ;
        mpfr_set_d(r21277, F, MPFR_RNDN);
        mpfr_mul(r21278, r21277, r21277, MPFR_RNDN);
        mpfr_div(r21279, r21276, r21278, MPFR_RNDN);
        mpfr_tan(r21280, r21275, MPFR_RNDN);
        mpfr_mul(r21281, r21279, r21280, MPFR_RNDN);
        mpfr_sub(r21282, r21275, r21281, MPFR_RNDN);
        return mpfr_get_d(r21282, MPFR_RNDN);
}

static mpfr_t r21283, r21284, r21285, r21286, r21287, r21288, r21289, r21290;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(8208);
        mpfr_init(r21283);
        mpfr_init(r21284);
        mpfr_init(r21285);
        mpfr_init(r21286);
        mpfr_init(r21287);
        mpfr_init(r21288);
        mpfr_init(r21289);
        mpfr_init(r21290);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21283, l, MPFR_RNDN);
        mpfr_const_pi(r21284, MPFR_RNDN);
        mpfr_mul(r21285, r21283, r21284, MPFR_RNDN);
        mpfr_tan(r21286, r21285, MPFR_RNDN);
        mpfr_set_d(r21287, F, MPFR_RNDN);
        mpfr_div(r21288, r21286, r21287, MPFR_RNDN);
        mpfr_div(r21289, r21288, r21287, MPFR_RNDN);
        mpfr_sub(r21290, r21285, r21289, MPFR_RNDN);
        return mpfr_get_d(r21290, MPFR_RNDN);
}

static mpfr_t r21291, r21292, r21293, r21294, r21295, r21296, r21297, r21298;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(8208);
        mpfr_init(r21291);
        mpfr_init(r21292);
        mpfr_init(r21293);
        mpfr_init(r21294);
        mpfr_init(r21295);
        mpfr_init(r21296);
        mpfr_init(r21297);
        mpfr_init(r21298);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21291, l, MPFR_RNDN);
        mpfr_const_pi(r21292, MPFR_RNDN);
        mpfr_mul(r21293, r21291, r21292, MPFR_RNDN);
        mpfr_tan(r21294, r21293, MPFR_RNDN);
        mpfr_set_d(r21295, F, MPFR_RNDN);
        mpfr_div(r21296, r21294, r21295, MPFR_RNDN);
        mpfr_div(r21297, r21296, r21295, MPFR_RNDN);
        mpfr_sub(r21298, r21293, r21297, MPFR_RNDN);
        return mpfr_get_d(r21298, MPFR_RNDN);
}