#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 = -1;
        float r21272 = cbrt(r21271);
        float r21273 = r21270 * r21272;
        float r21274 = sin(r21273);
        float r21275 = F;
        float r21276 = r21274 / r21275;
        float r21277 = cos(r21273);
        float r21278 = r21275 * r21277;
        float r21279 = r21276 / r21278;
        float r21280 = r21279 + r21270;
        return r21280;
}

double f_od(double F, double l) {
        double r21281 = l;
        double r21282 = atan2(1.0, 0.0);
        double r21283 = r21281 * r21282;
        double r21284 = -1;
        double r21285 = cbrt(r21284);
        double r21286 = r21283 * r21285;
        double r21287 = sin(r21286);
        double r21288 = F;
        double r21289 = r21287 / r21288;
        double r21290 = cos(r21286);
        double r21291 = r21288 * r21290;
        double r21292 = r21289 / r21291;
        double r21293 = r21292 + r21283;
        return r21293;
}

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 r21294, r21295, r21296, r21297, r21298, r21299, r21300, r21301, r21302, r21303;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21294);
        mpfr_init(r21295);
        mpfr_init(r21296);
        mpfr_init_set_str(r21297, "1", 10, MPFR_RNDN);
        mpfr_init(r21298);
        mpfr_init(r21299);
        mpfr_init(r21300);
        mpfr_init(r21301);
        mpfr_init(r21302);
        mpfr_init(r21303);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21294, MPFR_RNDN);
        mpfr_set_d(r21295, l, MPFR_RNDN);
        mpfr_mul(r21296, r21294, r21295, MPFR_RNDN);
        ;
        mpfr_set_d(r21298, F, MPFR_RNDN);
        mpfr_mul(r21299, r21298, r21298, MPFR_RNDN);
        mpfr_div(r21300, r21297, r21299, MPFR_RNDN);
        mpfr_tan(r21301, r21296, MPFR_RNDN);
        mpfr_mul(r21302, r21300, r21301, MPFR_RNDN);
        mpfr_sub(r21303, r21296, r21302, MPFR_RNDN);
        return mpfr_get_d(r21303, MPFR_RNDN);
}

static mpfr_t r21304, r21305, r21306, r21307, r21308, r21309, r21310, r21311, r21312, r21313, r21314, r21315, r21316;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21304);
        mpfr_init(r21305);
        mpfr_init(r21306);
        mpfr_init_set_str(r21307, "-1", 10, MPFR_RNDN);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init(r21310);
        mpfr_init(r21311);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init(r21315);
        mpfr_init(r21316);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21304, l, MPFR_RNDN);
        mpfr_const_pi(r21305, MPFR_RNDN);
        mpfr_mul(r21306, r21304, r21305, MPFR_RNDN);
        ;
        mpfr_cbrt(r21308, r21307, MPFR_RNDN);
        mpfr_mul(r21309, r21306, r21308, MPFR_RNDN);
        mpfr_sin(r21310, r21309, MPFR_RNDN);
        mpfr_set_d(r21311, F, MPFR_RNDN);
        mpfr_div(r21312, r21310, r21311, MPFR_RNDN);
        mpfr_cos(r21313, r21309, MPFR_RNDN);
        mpfr_mul(r21314, r21311, r21313, MPFR_RNDN);
        mpfr_div(r21315, r21312, r21314, MPFR_RNDN);
        mpfr_add(r21316, r21315, r21306, MPFR_RNDN);
        return mpfr_get_d(r21316, MPFR_RNDN);
}

static mpfr_t r21317, r21318, r21319, r21320, r21321, r21322, r21323, r21324, r21325, r21326, r21327, r21328, r21329;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init_set_str(r21320, "-1", 10, MPFR_RNDN);
        mpfr_init(r21321);
        mpfr_init(r21322);
        mpfr_init(r21323);
        mpfr_init(r21324);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init(r21327);
        mpfr_init(r21328);
        mpfr_init(r21329);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21317, l, MPFR_RNDN);
        mpfr_const_pi(r21318, MPFR_RNDN);
        mpfr_mul(r21319, r21317, r21318, MPFR_RNDN);
        ;
        mpfr_cbrt(r21321, r21320, MPFR_RNDN);
        mpfr_mul(r21322, r21319, r21321, MPFR_RNDN);
        mpfr_sin(r21323, r21322, MPFR_RNDN);
        mpfr_set_d(r21324, F, MPFR_RNDN);
        mpfr_div(r21325, r21323, r21324, MPFR_RNDN);
        mpfr_cos(r21326, r21322, MPFR_RNDN);
        mpfr_mul(r21327, r21324, r21326, MPFR_RNDN);
        mpfr_div(r21328, r21325, r21327, MPFR_RNDN);
        mpfr_add(r21329, r21328, r21319, MPFR_RNDN);
        return mpfr_get_d(r21329, MPFR_RNDN);
}