#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 r21295 = atan2(1.0, 0.0);
        float r21296 = l;
        float r21297 = r21295 * r21296;
        float r21298 = 1;
        float r21299 = F;
        float r21300 = r21299 * r21299;
        float r21301 = r21298 / r21300;
        float r21302 = tan(r21297);
        float r21303 = r21301 * r21302;
        float r21304 = r21297 - r21303;
        return r21304;
}

double f_id(double F, double l) {
        double r21305 = atan2(1.0, 0.0);
        double r21306 = l;
        double r21307 = r21305 * r21306;
        double r21308 = 1;
        double r21309 = F;
        double r21310 = r21309 * r21309;
        double r21311 = r21308 / r21310;
        double r21312 = tan(r21307);
        double r21313 = r21311 * r21312;
        double r21314 = r21307 - r21313;
        return r21314;
}


double f_of(float F, float l) {
        float r21315 = l;
        float r21316 = atan2(1.0, 0.0);
        float r21317 = r21315 * r21316;
        float r21318 = tan(r21317);
        float r21319 = F;
        float r21320 = r21318 / r21319;
        float r21321 = r21320 / r21319;
        float r21322 = r21317 - r21321;
        return r21322;
}

double f_od(double F, double l) {
        double r21323 = l;
        double r21324 = atan2(1.0, 0.0);
        double r21325 = r21323 * r21324;
        double r21326 = tan(r21325);
        double r21327 = F;
        double r21328 = r21326 / r21327;
        double r21329 = r21328 / r21327;
        double r21330 = r21325 - r21329;
        return r21330;
}

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 r21331, r21332, r21333, r21334, r21335, r21336, r21337, r21338, r21339, r21340;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init_set_str(r21334, "1", 10, MPFR_RNDN);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
        mpfr_init(r21338);
        mpfr_init(r21339);
        mpfr_init(r21340);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21331, MPFR_RNDN);
        mpfr_set_d(r21332, l, MPFR_RNDN);
        mpfr_mul(r21333, r21331, r21332, MPFR_RNDN);
        ;
        mpfr_set_d(r21335, F, MPFR_RNDN);
        mpfr_mul(r21336, r21335, r21335, MPFR_RNDN);
        mpfr_div(r21337, r21334, r21336, MPFR_RNDN);
        mpfr_tan(r21338, r21333, MPFR_RNDN);
        mpfr_mul(r21339, r21337, r21338, MPFR_RNDN);
        mpfr_sub(r21340, r21333, r21339, MPFR_RNDN);
        return mpfr_get_d(r21340, MPFR_RNDN);
}

static mpfr_t r21341, r21342, r21343, r21344, r21345, r21346, r21347, r21348;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21341);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
        mpfr_init(r21348);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21341, l, MPFR_RNDN);
        mpfr_const_pi(r21342, MPFR_RNDN);
        mpfr_mul(r21343, r21341, r21342, MPFR_RNDN);
        mpfr_tan(r21344, r21343, MPFR_RNDN);
        mpfr_set_d(r21345, F, MPFR_RNDN);
        mpfr_div(r21346, r21344, r21345, MPFR_RNDN);
        mpfr_div(r21347, r21346, r21345, MPFR_RNDN);
        mpfr_sub(r21348, r21343, r21347, MPFR_RNDN);
        return mpfr_get_d(r21348, MPFR_RNDN);
}

static mpfr_t r21349, r21350, r21351, r21352, r21353, r21354, r21355, r21356;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21349);
        mpfr_init(r21350);
        mpfr_init(r21351);
        mpfr_init(r21352);
        mpfr_init(r21353);
        mpfr_init(r21354);
        mpfr_init(r21355);
        mpfr_init(r21356);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21349, l, MPFR_RNDN);
        mpfr_const_pi(r21350, MPFR_RNDN);
        mpfr_mul(r21351, r21349, r21350, MPFR_RNDN);
        mpfr_tan(r21352, r21351, MPFR_RNDN);
        mpfr_set_d(r21353, F, MPFR_RNDN);
        mpfr_div(r21354, r21352, r21353, MPFR_RNDN);
        mpfr_div(r21355, r21354, r21353, MPFR_RNDN);
        mpfr_sub(r21356, r21351, r21355, MPFR_RNDN);
        return mpfr_get_d(r21356, MPFR_RNDN);
}