#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 r21288 = atan2(1.0, 0.0);
        float r21289 = l;
        float r21290 = r21288 * r21289;
        float r21291 = 1;
        float r21292 = F;
        float r21293 = r21292 * r21292;
        float r21294 = r21291 / r21293;
        float r21295 = tan(r21290);
        float r21296 = r21294 * r21295;
        float r21297 = r21290 - r21296;
        return r21297;
}

double f_id(double F, double l) {
        double r21298 = atan2(1.0, 0.0);
        double r21299 = l;
        double r21300 = r21298 * r21299;
        double r21301 = 1;
        double r21302 = F;
        double r21303 = r21302 * r21302;
        double r21304 = r21301 / r21303;
        double r21305 = tan(r21300);
        double r21306 = r21304 * r21305;
        double r21307 = r21300 - r21306;
        return r21307;
}


double f_of(float F, float l) {
        float r21308 = l;
        float r21309 = atan2(1.0, 0.0);
        float r21310 = r21308 * r21309;
        float r21311 = tan(r21310);
        float r21312 = cbrt(r21311);
        float r21313 = -r21312;
        float r21314 = F;
        float r21315 = r21313 / r21314;
        float r21316 = r21312 / r21314;
        float r21317 = sin(r21310);
        float r21318 = cos(r21310);
        float r21319 = r21317 / r21318;
        float r21320 = cbrt(r21319);
        float r21321 = r21316 * r21320;
        float r21322 = fma(r21315, r21321, r21310);
        return r21322;
}

double f_od(double F, double l) {
        double r21323 = l;
        double r21324 = atan2(1.0, 0.0);
        double r21325 = r21323 * r21324;
        double r21326 = tan(r21325);
        double r21327 = cbrt(r21326);
        double r21328 = -r21327;
        double r21329 = F;
        double r21330 = r21328 / r21329;
        double r21331 = r21327 / r21329;
        double r21332 = sin(r21325);
        double r21333 = cos(r21325);
        double r21334 = r21332 / r21333;
        double r21335 = cbrt(r21334);
        double r21336 = r21331 * r21335;
        double r21337 = fma(r21330, r21336, r21325);
        return r21337;
}

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 r21338, r21339, r21340, r21341, r21342, r21343, r21344, r21345, r21346, r21347;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21338);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init_set_str(r21341, "1", 10, MPFR_RNDN);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21338, MPFR_RNDN);
        mpfr_set_d(r21339, l, MPFR_RNDN);
        mpfr_mul(r21340, r21338, r21339, MPFR_RNDN);
        ;
        mpfr_set_d(r21342, F, MPFR_RNDN);
        mpfr_mul(r21343, r21342, r21342, MPFR_RNDN);
        mpfr_div(r21344, r21341, r21343, MPFR_RNDN);
        mpfr_tan(r21345, r21340, MPFR_RNDN);
        mpfr_mul(r21346, r21344, r21345, MPFR_RNDN);
        mpfr_sub(r21347, r21340, r21346, MPFR_RNDN);
        return mpfr_get_d(r21347, MPFR_RNDN);
}

static mpfr_t r21348, r21349, r21350, r21351, r21352, r21353, r21354, r21355, r21356, r21357, r21358, r21359, r21360, r21361, r21362;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21348);
        mpfr_init(r21349);
        mpfr_init(r21350);
        mpfr_init(r21351);
        mpfr_init(r21352);
        mpfr_init(r21353);
        mpfr_init(r21354);
        mpfr_init(r21355);
        mpfr_init(r21356);
        mpfr_init(r21357);
        mpfr_init(r21358);
        mpfr_init(r21359);
        mpfr_init(r21360);
        mpfr_init(r21361);
        mpfr_init(r21362);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21348, l, MPFR_RNDN);
        mpfr_const_pi(r21349, MPFR_RNDN);
        mpfr_mul(r21350, r21348, r21349, MPFR_RNDN);
        mpfr_tan(r21351, r21350, MPFR_RNDN);
        mpfr_cbrt(r21352, r21351, MPFR_RNDN);
        mpfr_neg(r21353, r21352, MPFR_RNDN);
        mpfr_set_d(r21354, F, MPFR_RNDN);
        mpfr_div(r21355, r21353, r21354, MPFR_RNDN);
        mpfr_div(r21356, r21352, r21354, MPFR_RNDN);
        mpfr_sin(r21357, r21350, MPFR_RNDN);
        mpfr_cos(r21358, r21350, MPFR_RNDN);
        mpfr_div(r21359, r21357, r21358, MPFR_RNDN);
        mpfr_cbrt(r21360, r21359, MPFR_RNDN);
        mpfr_mul(r21361, r21356, r21360, MPFR_RNDN);
        mpfr_fma(r21362, r21355, r21361, r21350, MPFR_RNDN);
        return mpfr_get_d(r21362, MPFR_RNDN);
}

static mpfr_t r21363, r21364, r21365, r21366, r21367, r21368, r21369, r21370, r21371, r21372, r21373, r21374, r21375, r21376, r21377;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r21363);
        mpfr_init(r21364);
        mpfr_init(r21365);
        mpfr_init(r21366);
        mpfr_init(r21367);
        mpfr_init(r21368);
        mpfr_init(r21369);
        mpfr_init(r21370);
        mpfr_init(r21371);
        mpfr_init(r21372);
        mpfr_init(r21373);
        mpfr_init(r21374);
        mpfr_init(r21375);
        mpfr_init(r21376);
        mpfr_init(r21377);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21363, l, MPFR_RNDN);
        mpfr_const_pi(r21364, MPFR_RNDN);
        mpfr_mul(r21365, r21363, r21364, MPFR_RNDN);
        mpfr_tan(r21366, r21365, MPFR_RNDN);
        mpfr_cbrt(r21367, r21366, MPFR_RNDN);
        mpfr_neg(r21368, r21367, MPFR_RNDN);
        mpfr_set_d(r21369, F, MPFR_RNDN);
        mpfr_div(r21370, r21368, r21369, MPFR_RNDN);
        mpfr_div(r21371, r21367, r21369, MPFR_RNDN);
        mpfr_sin(r21372, r21365, MPFR_RNDN);
        mpfr_cos(r21373, r21365, MPFR_RNDN);
        mpfr_div(r21374, r21372, r21373, MPFR_RNDN);
        mpfr_cbrt(r21375, r21374, MPFR_RNDN);
        mpfr_mul(r21376, r21371, r21375, MPFR_RNDN);
        mpfr_fma(r21377, r21370, r21376, r21365, MPFR_RNDN);
        return mpfr_get_d(r21377, MPFR_RNDN);
}