#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "VandenBroeck and Keller, Equation (23)";

double f_if(float F, float B, float x) {
        float r21301 = x;
        float r21302 = 1;
        float r21303 = B;
        float r21304 = tan(r21303);
        float r21305 = r21302 / r21304;
        float r21306 = r21301 * r21305;
        float r21307 = -r21306;
        float r21308 = F;
        float r21309 = sin(r21303);
        float r21310 = r21308 / r21309;
        float r21311 = r21308 * r21308;
        float r21312 = 2;
        float r21313 = r21311 + r21312;
        float r21314 = r21312 * r21301;
        float r21315 = r21313 + r21314;
        float r21316 = r21302 / r21312;
        float r21317 = -r21316;
        float r21318 = pow(r21315, r21317);
        float r21319 = r21310 * r21318;
        float r21320 = r21307 + r21319;
        return r21320;
}

double f_id(double F, double B, double x) {
        double r21321 = x;
        double r21322 = 1;
        double r21323 = B;
        double r21324 = tan(r21323);
        double r21325 = r21322 / r21324;
        double r21326 = r21321 * r21325;
        double r21327 = -r21326;
        double r21328 = F;
        double r21329 = sin(r21323);
        double r21330 = r21328 / r21329;
        double r21331 = r21328 * r21328;
        double r21332 = 2;
        double r21333 = r21331 + r21332;
        double r21334 = r21332 * r21321;
        double r21335 = r21333 + r21334;
        double r21336 = r21322 / r21332;
        double r21337 = -r21336;
        double r21338 = pow(r21335, r21337);
        double r21339 = r21330 * r21338;
        double r21340 = r21327 + r21339;
        return r21340;
}


double f_of(float F, float B, float x) {
        float r21341 = 2;
        float r21342 = x;
        float r21343 = r21341 * r21342;
        float r21344 = r21341 + r21343;
        float r21345 = F;
        float r21346 = r21345 * r21345;
        float r21347 = r21344 + r21346;
        float r21348 = sqrt(r21347);
        float r21349 = -1/2;
        float r21350 = pow(r21348, r21349);
        float r21351 = r21350 * r21350;
        float r21352 = r21351 * r21345;
        float r21353 = 1;
        float r21354 = B;
        float r21355 = sin(r21354);
        float r21356 = r21353 / r21355;
        float r21357 = r21352 * r21356;
        float r21358 = tan(r21354);
        float r21359 = r21342 / r21358;
        float r21360 = r21357 - r21359;
        return r21360;
}

double f_od(double F, double B, double x) {
        double r21361 = 2;
        double r21362 = x;
        double r21363 = r21361 * r21362;
        double r21364 = r21361 + r21363;
        double r21365 = F;
        double r21366 = r21365 * r21365;
        double r21367 = r21364 + r21366;
        double r21368 = sqrt(r21367);
        double r21369 = -1/2;
        double r21370 = pow(r21368, r21369);
        double r21371 = r21370 * r21370;
        double r21372 = r21371 * r21365;
        double r21373 = 1;
        double r21374 = B;
        double r21375 = sin(r21374);
        double r21376 = r21373 / r21375;
        double r21377 = r21372 * r21376;
        double r21378 = tan(r21374);
        double r21379 = r21362 / r21378;
        double r21380 = r21377 - r21379;
        return r21380;
}

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 r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391, r21392, r21393, r21394, r21395, r21396, r21397, r21398, r21399, r21400;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21381);
        mpfr_init_set_str(r21382, "1", 10, MPFR_RNDN);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init(r21388);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init(r21391);
        mpfr_init_set_str(r21392, "2", 10, MPFR_RNDN);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init(r21395);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init(r21400);
}

double f_im(double F, double B, double x) {
        mpfr_set_d(r21381, x, MPFR_RNDN);
        ;
        mpfr_set_d(r21383, B, MPFR_RNDN);
        mpfr_tan(r21384, r21383, MPFR_RNDN);
        mpfr_div(r21385, r21382, r21384, MPFR_RNDN);
        mpfr_mul(r21386, r21381, r21385, MPFR_RNDN);
        mpfr_neg(r21387, r21386, MPFR_RNDN);
        mpfr_set_d(r21388, F, MPFR_RNDN);
        mpfr_sin(r21389, r21383, MPFR_RNDN);
        mpfr_div(r21390, r21388, r21389, MPFR_RNDN);
        mpfr_mul(r21391, r21388, r21388, MPFR_RNDN);
        ;
        mpfr_add(r21393, r21391, r21392, MPFR_RNDN);
        mpfr_mul(r21394, r21392, r21381, MPFR_RNDN);
        mpfr_add(r21395, r21393, r21394, MPFR_RNDN);
        mpfr_div(r21396, r21382, r21392, MPFR_RNDN);
        mpfr_neg(r21397, r21396, MPFR_RNDN);
        mpfr_pow(r21398, r21395, r21397, MPFR_RNDN);
        mpfr_mul(r21399, r21390, r21398, MPFR_RNDN);
        mpfr_add(r21400, r21387, r21399, MPFR_RNDN);
        return mpfr_get_d(r21400, MPFR_RNDN);
}

static mpfr_t r21401, r21402, r21403, r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21401, "2", 10, MPFR_RNDN);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init_set_str(r21409, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init_set_str(r21413, "1", 10, MPFR_RNDN);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init(r21418);
        mpfr_init(r21419);
        mpfr_init(r21420);
}

double f_fm(double F, double B, double x) {
        ;
        mpfr_set_d(r21402, x, MPFR_RNDN);
        mpfr_mul(r21403, r21401, r21402, MPFR_RNDN);
        mpfr_add(r21404, r21401, r21403, MPFR_RNDN);
        mpfr_set_d(r21405, F, MPFR_RNDN);
        mpfr_mul(r21406, r21405, r21405, MPFR_RNDN);
        mpfr_add(r21407, r21404, r21406, MPFR_RNDN);
        mpfr_sqrt(r21408, r21407, MPFR_RNDN);
        ;
        mpfr_pow(r21410, r21408, r21409, MPFR_RNDN);
        mpfr_mul(r21411, r21410, r21410, MPFR_RNDN);
        mpfr_mul(r21412, r21411, r21405, MPFR_RNDN);
        ;
        mpfr_set_d(r21414, B, MPFR_RNDN);
        mpfr_sin(r21415, r21414, MPFR_RNDN);
        mpfr_div(r21416, r21413, r21415, MPFR_RNDN);
        mpfr_mul(r21417, r21412, r21416, MPFR_RNDN);
        mpfr_tan(r21418, r21414, MPFR_RNDN);
        mpfr_div(r21419, r21402, r21418, MPFR_RNDN);
        mpfr_sub(r21420, r21417, r21419, MPFR_RNDN);
        return mpfr_get_d(r21420, MPFR_RNDN);
}

static mpfr_t r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428, r21429, r21430, r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438, r21439, r21440;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21421, "2", 10, MPFR_RNDN);
        mpfr_init(r21422);
        mpfr_init(r21423);
        mpfr_init(r21424);
        mpfr_init(r21425);
        mpfr_init(r21426);
        mpfr_init(r21427);
        mpfr_init(r21428);
        mpfr_init_set_str(r21429, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21430);
        mpfr_init(r21431);
        mpfr_init(r21432);
        mpfr_init_set_str(r21433, "1", 10, MPFR_RNDN);
        mpfr_init(r21434);
        mpfr_init(r21435);
        mpfr_init(r21436);
        mpfr_init(r21437);
        mpfr_init(r21438);
        mpfr_init(r21439);
        mpfr_init(r21440);
}

double f_dm(double F, double B, double x) {
        ;
        mpfr_set_d(r21422, x, MPFR_RNDN);
        mpfr_mul(r21423, r21421, r21422, MPFR_RNDN);
        mpfr_add(r21424, r21421, r21423, MPFR_RNDN);
        mpfr_set_d(r21425, F, MPFR_RNDN);
        mpfr_mul(r21426, r21425, r21425, MPFR_RNDN);
        mpfr_add(r21427, r21424, r21426, MPFR_RNDN);
        mpfr_sqrt(r21428, r21427, MPFR_RNDN);
        ;
        mpfr_pow(r21430, r21428, r21429, MPFR_RNDN);
        mpfr_mul(r21431, r21430, r21430, MPFR_RNDN);
        mpfr_mul(r21432, r21431, r21425, MPFR_RNDN);
        ;
        mpfr_set_d(r21434, B, MPFR_RNDN);
        mpfr_sin(r21435, r21434, MPFR_RNDN);
        mpfr_div(r21436, r21433, r21435, MPFR_RNDN);
        mpfr_mul(r21437, r21432, r21436, MPFR_RNDN);
        mpfr_tan(r21438, r21434, MPFR_RNDN);
        mpfr_div(r21439, r21422, r21438, MPFR_RNDN);
        mpfr_sub(r21440, r21437, r21439, MPFR_RNDN);
        return mpfr_get_d(r21440, MPFR_RNDN);
}