#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 r20392 = atan2(1.0, 0.0);
        float r20393 = l;
        float r20394 = r20392 * r20393;
        float r20395 = 1;
        float r20396 = F;
        float r20397 = r20396 * r20396;
        float r20398 = r20395 / r20397;
        float r20399 = tan(r20394);
        float r20400 = r20398 * r20399;
        float r20401 = r20394 - r20400;
        return r20401;
}

double f_id(double F, double l) {
        double r20402 = atan2(1.0, 0.0);
        double r20403 = l;
        double r20404 = r20402 * r20403;
        double r20405 = 1;
        double r20406 = F;
        double r20407 = r20406 * r20406;
        double r20408 = r20405 / r20407;
        double r20409 = tan(r20404);
        double r20410 = r20408 * r20409;
        double r20411 = r20404 - r20410;
        return r20411;
}


double f_of(float F, float l) {
        float r20412 = atan2(1.0, 0.0);
        float r20413 = l;
        float r20414 = r20412 * r20413;
        float r20415 = sin(r20414);
        float r20416 = F;
        float r20417 = r20415 / r20416;
        float r20418 = cos(r20414);
        float r20419 = r20416 * r20418;
        float r20420 = r20417 / r20419;
        float r20421 = r20414 - r20420;
        return r20421;
}

double f_od(double F, double l) {
        double r20422 = atan2(1.0, 0.0);
        double r20423 = l;
        double r20424 = r20422 * r20423;
        double r20425 = sin(r20424);
        double r20426 = F;
        double r20427 = r20425 / r20426;
        double r20428 = cos(r20424);
        double r20429 = r20426 * r20428;
        double r20430 = r20427 / r20429;
        double r20431 = r20424 - r20430;
        return r20431;
}

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 r20432, r20433, r20434, r20435, r20436, r20437, r20438, r20439, r20440, r20441;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2960);
        mpfr_init(r20432);
        mpfr_init(r20433);
        mpfr_init(r20434);
        mpfr_init_set_str(r20435, "1", 10, MPFR_RNDN);
        mpfr_init(r20436);
        mpfr_init(r20437);
        mpfr_init(r20438);
        mpfr_init(r20439);
        mpfr_init(r20440);
        mpfr_init(r20441);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20432, MPFR_RNDN);
        mpfr_set_d(r20433, l, MPFR_RNDN);
        mpfr_mul(r20434, r20432, r20433, MPFR_RNDN);
        ;
        mpfr_set_d(r20436, F, MPFR_RNDN);
        mpfr_mul(r20437, r20436, r20436, MPFR_RNDN);
        mpfr_div(r20438, r20435, r20437, MPFR_RNDN);
        mpfr_tan(r20439, r20434, MPFR_RNDN);
        mpfr_mul(r20440, r20438, r20439, MPFR_RNDN);
        mpfr_sub(r20441, r20434, r20440, MPFR_RNDN);
        return mpfr_get_d(r20441, MPFR_RNDN);
}

static mpfr_t r20442, r20443, r20444, r20445, r20446, r20447, r20448, r20449, r20450, r20451;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r20442);
        mpfr_init(r20443);
        mpfr_init(r20444);
        mpfr_init(r20445);
        mpfr_init(r20446);
        mpfr_init(r20447);
        mpfr_init(r20448);
        mpfr_init(r20449);
        mpfr_init(r20450);
        mpfr_init(r20451);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r20442, MPFR_RNDN);
        mpfr_set_d(r20443, l, MPFR_RNDN);
        mpfr_mul(r20444, r20442, r20443, MPFR_RNDN);
        mpfr_sin(r20445, r20444, MPFR_RNDN);
        mpfr_set_d(r20446, F, MPFR_RNDN);
        mpfr_div(r20447, r20445, r20446, MPFR_RNDN);
        mpfr_cos(r20448, r20444, MPFR_RNDN);
        mpfr_mul(r20449, r20446, r20448, MPFR_RNDN);
        mpfr_div(r20450, r20447, r20449, MPFR_RNDN);
        mpfr_sub(r20451, r20444, r20450, MPFR_RNDN);
        return mpfr_get_d(r20451, MPFR_RNDN);
}

static mpfr_t r20452, r20453, r20454, r20455, r20456, r20457, r20458, r20459, r20460, r20461;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2960);
        mpfr_init(r20452);
        mpfr_init(r20453);
        mpfr_init(r20454);
        mpfr_init(r20455);
        mpfr_init(r20456);
        mpfr_init(r20457);
        mpfr_init(r20458);
        mpfr_init(r20459);
        mpfr_init(r20460);
        mpfr_init(r20461);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r20452, MPFR_RNDN);
        mpfr_set_d(r20453, l, MPFR_RNDN);
        mpfr_mul(r20454, r20452, r20453, MPFR_RNDN);
        mpfr_sin(r20455, r20454, MPFR_RNDN);
        mpfr_set_d(r20456, F, MPFR_RNDN);
        mpfr_div(r20457, r20455, r20456, MPFR_RNDN);
        mpfr_cos(r20458, r20454, MPFR_RNDN);
        mpfr_mul(r20459, r20456, r20458, MPFR_RNDN);
        mpfr_div(r20460, r20457, r20459, MPFR_RNDN);
        mpfr_sub(r20461, r20454, r20460, MPFR_RNDN);
        return mpfr_get_d(r20461, MPFR_RNDN);
}