#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 r21288 = atan2(1.0, 0.0);
        float r21289 = l;
        float r21290 = r21288 * r21289;
        float r21291 = 1;
        float r21292 = F;
        float r21293 = r21292 * r21292;
        float r21294 = r21291 / r21293;
        float r21295 = tan(r21290);
        float r21296 = r21294 * r21295;
        float r21297 = r21290 - r21296;
        return r21297;
}

double f_id(double F, double l) {
        double r21298 = atan2(1.0, 0.0);
        double r21299 = l;
        double r21300 = r21298 * r21299;
        double r21301 = 1;
        double r21302 = F;
        double r21303 = r21302 * r21302;
        double r21304 = r21301 / r21303;
        double r21305 = tan(r21300);
        double r21306 = r21304 * r21305;
        double r21307 = r21300 - r21306;
        return r21307;
}


double f_of(float F, float l) {
        float r21308 = l;
        float r21309 = atan2(1.0, 0.0);
        float r21310 = r21308 * r21309;
        float r21311 = tan(r21310);
        float r21312 = F;
        float r21313 = r21311 / r21312;
        float r21314 = r21313 / r21312;
        float r21315 = r21310 - r21314;
        return r21315;
}

double f_od(double F, double l) {
        double r21316 = l;
        double r21317 = atan2(1.0, 0.0);
        double r21318 = r21316 * r21317;
        double r21319 = tan(r21318);
        double r21320 = F;
        double r21321 = r21319 / r21320;
        double r21322 = r21321 / r21320;
        double r21323 = r21318 - r21322;
        return r21323;
}

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 r21324, r21325, r21326, r21327, r21328, r21329, r21330, r21331, r21332, r21333;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21324);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init_set_str(r21327, "1", 10, MPFR_RNDN);
        mpfr_init(r21328);
        mpfr_init(r21329);
        mpfr_init(r21330);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21324, MPFR_RNDN);
        mpfr_set_d(r21325, l, MPFR_RNDN);
        mpfr_mul(r21326, r21324, r21325, MPFR_RNDN);
        ;
        mpfr_set_d(r21328, F, MPFR_RNDN);
        mpfr_mul(r21329, r21328, r21328, MPFR_RNDN);
        mpfr_div(r21330, r21327, r21329, MPFR_RNDN);
        mpfr_tan(r21331, r21326, MPFR_RNDN);
        mpfr_mul(r21332, r21330, r21331, MPFR_RNDN);
        mpfr_sub(r21333, r21326, r21332, MPFR_RNDN);
        return mpfr_get_d(r21333, MPFR_RNDN);
}

static mpfr_t r21334, r21335, r21336, r21337, r21338, r21339, r21340, r21341;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21334);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
        mpfr_init(r21338);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init(r21341);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21334, l, MPFR_RNDN);
        mpfr_const_pi(r21335, MPFR_RNDN);
        mpfr_mul(r21336, r21334, r21335, MPFR_RNDN);
        mpfr_tan(r21337, r21336, MPFR_RNDN);
        mpfr_set_d(r21338, F, MPFR_RNDN);
        mpfr_div(r21339, r21337, r21338, MPFR_RNDN);
        mpfr_div(r21340, r21339, r21338, MPFR_RNDN);
        mpfr_sub(r21341, r21336, r21340, MPFR_RNDN);
        return mpfr_get_d(r21341, MPFR_RNDN);
}

static mpfr_t r21342, r21343, r21344, r21345, r21346, r21347, r21348, r21349;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
        mpfr_init(r21348);
        mpfr_init(r21349);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21342, l, MPFR_RNDN);
        mpfr_const_pi(r21343, MPFR_RNDN);
        mpfr_mul(r21344, r21342, r21343, MPFR_RNDN);
        mpfr_tan(r21345, r21344, MPFR_RNDN);
        mpfr_set_d(r21346, F, MPFR_RNDN);
        mpfr_div(r21347, r21345, r21346, MPFR_RNDN);
        mpfr_div(r21348, r21347, r21346, MPFR_RNDN);
        mpfr_sub(r21349, r21344, r21348, MPFR_RNDN);
        return mpfr_get_d(r21349, MPFR_RNDN);
}