#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 r21261 = atan2(1.0, 0.0);
        float r21262 = l;
        float r21263 = r21261 * r21262;
        float r21264 = 1;
        float r21265 = F;
        float r21266 = r21265 * r21265;
        float r21267 = r21264 / r21266;
        float r21268 = tan(r21263);
        float r21269 = r21267 * r21268;
        float r21270 = r21263 - r21269;
        return r21270;
}

double f_id(double F, double l) {
        double r21271 = atan2(1.0, 0.0);
        double r21272 = l;
        double r21273 = r21271 * r21272;
        double r21274 = 1;
        double r21275 = F;
        double r21276 = r21275 * r21275;
        double r21277 = r21274 / r21276;
        double r21278 = tan(r21273);
        double r21279 = r21277 * r21278;
        double r21280 = r21273 - r21279;
        return r21280;
}


double f_of(float F, float l) {
        float r21281 = l;
        float r21282 = atan2(1.0, 0.0);
        float r21283 = r21281 * r21282;
        float r21284 = 1;
        float r21285 = F;
        float r21286 = r21282 * r21281;
        float r21287 = r21285 / r21286;
        float r21288 = 1/3;
        float r21289 = exp(r21286);
        float r21290 = log(r21289);
        float r21291 = r21285 * r21290;
        float r21292 = r21288 * r21291;
        float r21293 = r21287 - r21292;
        float r21294 = r21284 / r21293;
        float r21295 = r21294 / r21285;
        float r21296 = r21283 - r21295;
        return r21296;
}

double f_od(double F, double l) {
        double r21297 = l;
        double r21298 = atan2(1.0, 0.0);
        double r21299 = r21297 * r21298;
        double r21300 = 1;
        double r21301 = F;
        double r21302 = r21298 * r21297;
        double r21303 = r21301 / r21302;
        double r21304 = 1/3;
        double r21305 = exp(r21302);
        double r21306 = log(r21305);
        double r21307 = r21301 * r21306;
        double r21308 = r21304 * r21307;
        double r21309 = r21303 - r21308;
        double r21310 = r21300 / r21309;
        double r21311 = r21310 / r21301;
        double r21312 = r21299 - r21311;
        return r21312;
}

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 r21313, r21314, r21315, r21316, r21317, r21318, r21319, r21320, r21321, r21322;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init(r21315);
        mpfr_init_set_str(r21316, "1", 10, MPFR_RNDN);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
        mpfr_init(r21321);
        mpfr_init(r21322);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21313, MPFR_RNDN);
        mpfr_set_d(r21314, l, MPFR_RNDN);
        mpfr_mul(r21315, r21313, r21314, MPFR_RNDN);
        ;
        mpfr_set_d(r21317, F, MPFR_RNDN);
        mpfr_mul(r21318, r21317, r21317, MPFR_RNDN);
        mpfr_div(r21319, r21316, r21318, MPFR_RNDN);
        mpfr_tan(r21320, r21315, MPFR_RNDN);
        mpfr_mul(r21321, r21319, r21320, MPFR_RNDN);
        mpfr_sub(r21322, r21315, r21321, MPFR_RNDN);
        return mpfr_get_d(r21322, MPFR_RNDN);
}

static mpfr_t r21323, r21324, r21325, r21326, r21327, r21328, r21329, r21330, r21331, r21332, r21333, r21334, r21335, r21336, r21337, r21338;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21323);
        mpfr_init(r21324);
        mpfr_init(r21325);
        mpfr_init_set_str(r21326, "1", 10, MPFR_RNDN);
        mpfr_init(r21327);
        mpfr_init(r21328);
        mpfr_init(r21329);
        mpfr_init_set_str(r21330, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init(r21334);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
        mpfr_init(r21338);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21323, l, MPFR_RNDN);
        mpfr_const_pi(r21324, MPFR_RNDN);
        mpfr_mul(r21325, r21323, r21324, MPFR_RNDN);
        ;
        mpfr_set_d(r21327, F, MPFR_RNDN);
        mpfr_mul(r21328, r21324, r21323, MPFR_RNDN);
        mpfr_div(r21329, r21327, r21328, MPFR_RNDN);
        ;
        mpfr_exp(r21331, r21328, MPFR_RNDN);
        mpfr_log(r21332, r21331, MPFR_RNDN);
        mpfr_mul(r21333, r21327, r21332, MPFR_RNDN);
        mpfr_mul(r21334, r21330, r21333, MPFR_RNDN);
        mpfr_sub(r21335, r21329, r21334, MPFR_RNDN);
        mpfr_div(r21336, r21326, r21335, MPFR_RNDN);
        mpfr_div(r21337, r21336, r21327, MPFR_RNDN);
        mpfr_sub(r21338, r21325, r21337, MPFR_RNDN);
        return mpfr_get_d(r21338, MPFR_RNDN);
}

static mpfr_t r21339, r21340, r21341, r21342, r21343, r21344, r21345, r21346, r21347, r21348, r21349, r21350, r21351, r21352, r21353, r21354;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init(r21341);
        mpfr_init_set_str(r21342, "1", 10, MPFR_RNDN);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init_set_str(r21346, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21347);
        mpfr_init(r21348);
        mpfr_init(r21349);
        mpfr_init(r21350);
        mpfr_init(r21351);
        mpfr_init(r21352);
        mpfr_init(r21353);
        mpfr_init(r21354);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21339, l, MPFR_RNDN);
        mpfr_const_pi(r21340, MPFR_RNDN);
        mpfr_mul(r21341, r21339, r21340, MPFR_RNDN);
        ;
        mpfr_set_d(r21343, F, MPFR_RNDN);
        mpfr_mul(r21344, r21340, r21339, MPFR_RNDN);
        mpfr_div(r21345, r21343, r21344, MPFR_RNDN);
        ;
        mpfr_exp(r21347, r21344, MPFR_RNDN);
        mpfr_log(r21348, r21347, MPFR_RNDN);
        mpfr_mul(r21349, r21343, r21348, MPFR_RNDN);
        mpfr_mul(r21350, r21346, r21349, MPFR_RNDN);
        mpfr_sub(r21351, r21345, r21350, MPFR_RNDN);
        mpfr_div(r21352, r21342, r21351, MPFR_RNDN);
        mpfr_div(r21353, r21352, r21343, MPFR_RNDN);
        mpfr_sub(r21354, r21341, r21353, MPFR_RNDN);
        return mpfr_get_d(r21354, MPFR_RNDN);
}