#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 r21243 = atan2(1.0, 0.0);
        float r21244 = l;
        float r21245 = r21243 * r21244;
        float r21246 = 1;
        float r21247 = F;
        float r21248 = r21247 * r21247;
        float r21249 = r21246 / r21248;
        float r21250 = tan(r21245);
        float r21251 = r21249 * r21250;
        float r21252 = r21245 - r21251;
        return r21252;
}

double f_id(double F, double l) {
        double r21253 = atan2(1.0, 0.0);
        double r21254 = l;
        double r21255 = r21253 * r21254;
        double r21256 = 1;
        double r21257 = F;
        double r21258 = r21257 * r21257;
        double r21259 = r21256 / r21258;
        double r21260 = tan(r21255);
        double r21261 = r21259 * r21260;
        double r21262 = r21255 - r21261;
        return r21262;
}


double f_of(float F, float l) {
        float r21263 = atan2(1.0, 0.0);
        float r21264 = l;
        float r21265 = r21263 * r21264;
        float r21266 = r21264 * r21263;
        float r21267 = tan(r21266);
        float r21268 = cbrt(r21267);
        float r21269 = F;
        float r21270 = r21268 / r21269;
        float r21271 = r21270 * r21270;
        float r21272 = tan(r21265);
        float r21273 = cbrt(r21272);
        float r21274 = r21271 * r21273;
        float r21275 = r21265 - r21274;
        return r21275;
}

double f_od(double F, double l) {
        double r21276 = atan2(1.0, 0.0);
        double r21277 = l;
        double r21278 = r21276 * r21277;
        double r21279 = r21277 * r21276;
        double r21280 = tan(r21279);
        double r21281 = cbrt(r21280);
        double r21282 = F;
        double r21283 = r21281 / r21282;
        double r21284 = r21283 * r21283;
        double r21285 = tan(r21278);
        double r21286 = cbrt(r21285);
        double r21287 = r21284 * r21286;
        double r21288 = r21278 - r21287;
        return r21288;
}

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 r21289, r21290, r21291, r21292, r21293, r21294, r21295, r21296, r21297, r21298;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21289);
        mpfr_init(r21290);
        mpfr_init(r21291);
        mpfr_init_set_str(r21292, "1", 10, MPFR_RNDN);
        mpfr_init(r21293);
        mpfr_init(r21294);
        mpfr_init(r21295);
        mpfr_init(r21296);
        mpfr_init(r21297);
        mpfr_init(r21298);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21289, MPFR_RNDN);
        mpfr_set_d(r21290, l, MPFR_RNDN);
        mpfr_mul(r21291, r21289, r21290, MPFR_RNDN);
        ;
        mpfr_set_d(r21293, F, MPFR_RNDN);
        mpfr_mul(r21294, r21293, r21293, MPFR_RNDN);
        mpfr_div(r21295, r21292, r21294, MPFR_RNDN);
        mpfr_tan(r21296, r21291, MPFR_RNDN);
        mpfr_mul(r21297, r21295, r21296, MPFR_RNDN);
        mpfr_sub(r21298, r21291, r21297, MPFR_RNDN);
        return mpfr_get_d(r21298, MPFR_RNDN);
}

static mpfr_t r21299, r21300, r21301, r21302, r21303, r21304, r21305, r21306, r21307, r21308, r21309, r21310, r21311;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21299);
        mpfr_init(r21300);
        mpfr_init(r21301);
        mpfr_init(r21302);
        mpfr_init(r21303);
        mpfr_init(r21304);
        mpfr_init(r21305);
        mpfr_init(r21306);
        mpfr_init(r21307);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init(r21310);
        mpfr_init(r21311);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21299, MPFR_RNDN);
        mpfr_set_d(r21300, l, MPFR_RNDN);
        mpfr_mul(r21301, r21299, r21300, MPFR_RNDN);
        mpfr_mul(r21302, r21300, r21299, MPFR_RNDN);
        mpfr_tan(r21303, r21302, MPFR_RNDN);
        mpfr_cbrt(r21304, r21303, MPFR_RNDN);
        mpfr_set_d(r21305, F, MPFR_RNDN);
        mpfr_div(r21306, r21304, r21305, MPFR_RNDN);
        mpfr_mul(r21307, r21306, r21306, MPFR_RNDN);
        mpfr_tan(r21308, r21301, MPFR_RNDN);
        mpfr_cbrt(r21309, r21308, MPFR_RNDN);
        mpfr_mul(r21310, r21307, r21309, MPFR_RNDN);
        mpfr_sub(r21311, r21301, r21310, MPFR_RNDN);
        return mpfr_get_d(r21311, MPFR_RNDN);
}

static mpfr_t r21312, r21313, r21314, r21315, r21316, r21317, r21318, r21319, r21320, r21321, r21322, r21323, r21324;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init(r21315);
        mpfr_init(r21316);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
        mpfr_init(r21321);
        mpfr_init(r21322);
        mpfr_init(r21323);
        mpfr_init(r21324);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21312, MPFR_RNDN);
        mpfr_set_d(r21313, l, MPFR_RNDN);
        mpfr_mul(r21314, r21312, r21313, MPFR_RNDN);
        mpfr_mul(r21315, r21313, r21312, MPFR_RNDN);
        mpfr_tan(r21316, r21315, MPFR_RNDN);
        mpfr_cbrt(r21317, r21316, MPFR_RNDN);
        mpfr_set_d(r21318, F, MPFR_RNDN);
        mpfr_div(r21319, r21317, r21318, MPFR_RNDN);
        mpfr_mul(r21320, r21319, r21319, MPFR_RNDN);
        mpfr_tan(r21321, r21314, MPFR_RNDN);
        mpfr_cbrt(r21322, r21321, MPFR_RNDN);
        mpfr_mul(r21323, r21320, r21322, MPFR_RNDN);
        mpfr_sub(r21324, r21314, r21323, MPFR_RNDN);
        return mpfr_get_d(r21324, MPFR_RNDN);
}