#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 r21248 = atan2(1.0, 0.0);
        float r21249 = l;
        float r21250 = r21248 * r21249;
        float r21251 = 1;
        float r21252 = F;
        float r21253 = r21252 * r21252;
        float r21254 = r21251 / r21253;
        float r21255 = tan(r21250);
        float r21256 = r21254 * r21255;
        float r21257 = r21250 - r21256;
        return r21257;
}

double f_id(double F, double l) {
        double r21258 = atan2(1.0, 0.0);
        double r21259 = l;
        double r21260 = r21258 * r21259;
        double r21261 = 1;
        double r21262 = F;
        double r21263 = r21262 * r21262;
        double r21264 = r21261 / r21263;
        double r21265 = tan(r21260);
        double r21266 = r21264 * r21265;
        double r21267 = r21260 - r21266;
        return r21267;
}


double f_of(float F, float l) {
        float r21268 = l;
        float r21269 = atan2(1.0, 0.0);
        float r21270 = r21268 * r21269;
        float r21271 = tan(r21270);
        float r21272 = cbrt(r21271);
        float r21273 = cbrt(r21272);
        float r21274 = F;
        float r21275 = r21272 / r21274;
        float r21276 = r21273 * r21275;
        float r21277 = sin(r21270);
        float r21278 = cos(r21270);
        float r21279 = r21277 / r21278;
        float r21280 = cbrt(r21279);
        float r21281 = cbrt(r21280);
        float r21282 = r21276 * r21281;
        float r21283 = r21282 * r21276;
        float r21284 = r21270 - r21283;
        return r21284;
}

double f_od(double F, double l) {
        double r21285 = l;
        double r21286 = atan2(1.0, 0.0);
        double r21287 = r21285 * r21286;
        double r21288 = tan(r21287);
        double r21289 = cbrt(r21288);
        double r21290 = cbrt(r21289);
        double r21291 = F;
        double r21292 = r21289 / r21291;
        double r21293 = r21290 * r21292;
        double r21294 = sin(r21287);
        double r21295 = cos(r21287);
        double r21296 = r21294 / r21295;
        double r21297 = cbrt(r21296);
        double r21298 = cbrt(r21297);
        double r21299 = r21293 * r21298;
        double r21300 = r21299 * r21293;
        double r21301 = r21287 - r21300;
        return r21301;
}

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 r21302, r21303, r21304, r21305, r21306, r21307, r21308, r21309, r21310, r21311;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21302);
        mpfr_init(r21303);
        mpfr_init(r21304);
        mpfr_init_set_str(r21305, "1", 10, MPFR_RNDN);
        mpfr_init(r21306);
        mpfr_init(r21307);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init(r21310);
        mpfr_init(r21311);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21302, MPFR_RNDN);
        mpfr_set_d(r21303, l, MPFR_RNDN);
        mpfr_mul(r21304, r21302, r21303, MPFR_RNDN);
        ;
        mpfr_set_d(r21306, F, MPFR_RNDN);
        mpfr_mul(r21307, r21306, r21306, MPFR_RNDN);
        mpfr_div(r21308, r21305, r21307, MPFR_RNDN);
        mpfr_tan(r21309, r21304, MPFR_RNDN);
        mpfr_mul(r21310, r21308, r21309, MPFR_RNDN);
        mpfr_sub(r21311, r21304, 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, r21325, r21326, r21327, r21328;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        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);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init(r21327);
        mpfr_init(r21328);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21312, l, MPFR_RNDN);
        mpfr_const_pi(r21313, MPFR_RNDN);
        mpfr_mul(r21314, r21312, r21313, MPFR_RNDN);
        mpfr_tan(r21315, r21314, MPFR_RNDN);
        mpfr_cbrt(r21316, r21315, MPFR_RNDN);
        mpfr_cbrt(r21317, r21316, MPFR_RNDN);
        mpfr_set_d(r21318, F, MPFR_RNDN);
        mpfr_div(r21319, r21316, r21318, MPFR_RNDN);
        mpfr_mul(r21320, r21317, r21319, MPFR_RNDN);
        mpfr_sin(r21321, r21314, MPFR_RNDN);
        mpfr_cos(r21322, r21314, MPFR_RNDN);
        mpfr_div(r21323, r21321, r21322, MPFR_RNDN);
        mpfr_cbrt(r21324, r21323, MPFR_RNDN);
        mpfr_cbrt(r21325, r21324, MPFR_RNDN);
        mpfr_mul(r21326, r21320, r21325, MPFR_RNDN);
        mpfr_mul(r21327, r21326, r21320, MPFR_RNDN);
        mpfr_sub(r21328, r21314, r21327, MPFR_RNDN);
        return mpfr_get_d(r21328, MPFR_RNDN);
}

static mpfr_t r21329, r21330, r21331, r21332, r21333, r21334, r21335, r21336, r21337, r21338, r21339, r21340, r21341, r21342, r21343, r21344, r21345;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21329);
        mpfr_init(r21330);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init(r21334);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
        mpfr_init(r21338);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init(r21341);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21329, l, MPFR_RNDN);
        mpfr_const_pi(r21330, MPFR_RNDN);
        mpfr_mul(r21331, r21329, r21330, MPFR_RNDN);
        mpfr_tan(r21332, r21331, MPFR_RNDN);
        mpfr_cbrt(r21333, r21332, MPFR_RNDN);
        mpfr_cbrt(r21334, r21333, MPFR_RNDN);
        mpfr_set_d(r21335, F, MPFR_RNDN);
        mpfr_div(r21336, r21333, r21335, MPFR_RNDN);
        mpfr_mul(r21337, r21334, r21336, MPFR_RNDN);
        mpfr_sin(r21338, r21331, MPFR_RNDN);
        mpfr_cos(r21339, r21331, MPFR_RNDN);
        mpfr_div(r21340, r21338, r21339, MPFR_RNDN);
        mpfr_cbrt(r21341, r21340, MPFR_RNDN);
        mpfr_cbrt(r21342, r21341, MPFR_RNDN);
        mpfr_mul(r21343, r21337, r21342, MPFR_RNDN);
        mpfr_mul(r21344, r21343, r21337, MPFR_RNDN);
        mpfr_sub(r21345, r21331, r21344, MPFR_RNDN);
        return mpfr_get_d(r21345, MPFR_RNDN);
}