#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 r21249 = atan2(1.0, 0.0);
        float r21250 = l;
        float r21251 = r21249 * r21250;
        float r21252 = 1;
        float r21253 = F;
        float r21254 = r21253 * r21253;
        float r21255 = r21252 / r21254;
        float r21256 = tan(r21251);
        float r21257 = r21255 * r21256;
        float r21258 = r21251 - r21257;
        return r21258;
}

double f_id(double F, double l) {
        double r21259 = atan2(1.0, 0.0);
        double r21260 = l;
        double r21261 = r21259 * r21260;
        double r21262 = 1;
        double r21263 = F;
        double r21264 = r21263 * r21263;
        double r21265 = r21262 / r21264;
        double r21266 = tan(r21261);
        double r21267 = r21265 * r21266;
        double r21268 = r21261 - r21267;
        return r21268;
}


double f_of(float F, float l) {
        float r21269 = atan2(1.0, 0.0);
        float r21270 = l;
        float r21271 = r21269 * r21270;
        float r21272 = 1;
        float r21273 = F;
        float r21274 = r21272 / r21273;
        float r21275 = r21273 / r21271;
        float r21276 = r21269 * r21273;
        float r21277 = 1/3;
        float r21278 = r21277 * r21270;
        float r21279 = r21276 * r21278;
        float r21280 = r21275 - r21279;
        float r21281 = r21274 / r21280;
        float r21282 = r21271 - r21281;
        return r21282;
}

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

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 r21297, r21298, r21299, r21300, r21301, r21302, r21303, r21304, r21305, r21306;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3152);
        mpfr_init(r21297);
        mpfr_init(r21298);
        mpfr_init(r21299);
        mpfr_init_set_str(r21300, "1", 10, MPFR_RNDN);
        mpfr_init(r21301);
        mpfr_init(r21302);
        mpfr_init(r21303);
        mpfr_init(r21304);
        mpfr_init(r21305);
        mpfr_init(r21306);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21297, MPFR_RNDN);
        mpfr_set_d(r21298, l, MPFR_RNDN);
        mpfr_mul(r21299, r21297, r21298, MPFR_RNDN);
        ;
        mpfr_set_d(r21301, F, MPFR_RNDN);
        mpfr_mul(r21302, r21301, r21301, MPFR_RNDN);
        mpfr_div(r21303, r21300, r21302, MPFR_RNDN);
        mpfr_tan(r21304, r21299, MPFR_RNDN);
        mpfr_mul(r21305, r21303, r21304, MPFR_RNDN);
        mpfr_sub(r21306, r21299, r21305, MPFR_RNDN);
        return mpfr_get_d(r21306, MPFR_RNDN);
}

static mpfr_t r21307, r21308, r21309, r21310, r21311, r21312, r21313, r21314, r21315, r21316, r21317, r21318, r21319, r21320;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r21307);
        mpfr_init(r21308);
        mpfr_init(r21309);
        mpfr_init_set_str(r21310, "1", 10, MPFR_RNDN);
        mpfr_init(r21311);
        mpfr_init(r21312);
        mpfr_init(r21313);
        mpfr_init(r21314);
        mpfr_init_set_str(r21315, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21316);
        mpfr_init(r21317);
        mpfr_init(r21318);
        mpfr_init(r21319);
        mpfr_init(r21320);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21307, MPFR_RNDN);
        mpfr_set_d(r21308, l, MPFR_RNDN);
        mpfr_mul(r21309, r21307, r21308, MPFR_RNDN);
        ;
        mpfr_set_d(r21311, F, MPFR_RNDN);
        mpfr_div(r21312, r21310, r21311, MPFR_RNDN);
        mpfr_div(r21313, r21311, r21309, MPFR_RNDN);
        mpfr_mul(r21314, r21307, r21311, MPFR_RNDN);
        ;
        mpfr_mul(r21316, r21315, r21308, MPFR_RNDN);
        mpfr_mul(r21317, r21314, r21316, MPFR_RNDN);
        mpfr_sub(r21318, r21313, r21317, MPFR_RNDN);
        mpfr_div(r21319, r21312, r21318, MPFR_RNDN);
        mpfr_sub(r21320, r21309, r21319, MPFR_RNDN);
        return mpfr_get_d(r21320, MPFR_RNDN);
}

static mpfr_t r21321, r21322, r21323, r21324, r21325, r21326, r21327, r21328, r21329, r21330, r21331, r21332, r21333, r21334;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r21321);
        mpfr_init(r21322);
        mpfr_init(r21323);
        mpfr_init_set_str(r21324, "1", 10, MPFR_RNDN);
        mpfr_init(r21325);
        mpfr_init(r21326);
        mpfr_init(r21327);
        mpfr_init(r21328);
        mpfr_init_set_str(r21329, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21330);
        mpfr_init(r21331);
        mpfr_init(r21332);
        mpfr_init(r21333);
        mpfr_init(r21334);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21321, MPFR_RNDN);
        mpfr_set_d(r21322, l, MPFR_RNDN);
        mpfr_mul(r21323, r21321, r21322, MPFR_RNDN);
        ;
        mpfr_set_d(r21325, F, MPFR_RNDN);
        mpfr_div(r21326, r21324, r21325, MPFR_RNDN);
        mpfr_div(r21327, r21325, r21323, MPFR_RNDN);
        mpfr_mul(r21328, r21321, r21325, MPFR_RNDN);
        ;
        mpfr_mul(r21330, r21329, r21322, MPFR_RNDN);
        mpfr_mul(r21331, r21328, r21330, MPFR_RNDN);
        mpfr_sub(r21332, r21327, r21331, MPFR_RNDN);
        mpfr_div(r21333, r21326, r21332, MPFR_RNDN);
        mpfr_sub(r21334, r21323, r21333, MPFR_RNDN);
        return mpfr_get_d(r21334, MPFR_RNDN);
}