#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 r21243 = atan2(1.0, 0.0);
        float r21244 = l;
        float r21245 = r21243 * r21244;
        float r21246 = 1;
        float r21247 = F;
        float r21248 = r21247 * r21247;
        float r21249 = r21246 / r21248;
        float r21250 = tan(r21245);
        float r21251 = r21249 * r21250;
        float r21252 = r21245 - r21251;
        return r21252;
}

double f_id(double F, double l) {
        double r21253 = atan2(1.0, 0.0);
        double r21254 = l;
        double r21255 = r21253 * r21254;
        double r21256 = 1;
        double r21257 = F;
        double r21258 = r21257 * r21257;
        double r21259 = r21256 / r21258;
        double r21260 = tan(r21255);
        double r21261 = r21259 * r21260;
        double r21262 = r21255 - r21261;
        return r21262;
}


double f_of(float F, float l) {
        float r21263 = l;
        float r21264 = atan2(1.0, 0.0);
        float r21265 = r21263 * r21264;
        float r21266 = sin(r21265);
        float r21267 = F;
        float r21268 = r21267 * r21267;
        float r21269 = r21266 / r21268;
        float r21270 = 4;
        float r21271 = pow(r21263, r21270);
        float r21272 = pow(r21264, r21270);
        float r21273 = 1/24;
        float r21274 = r21272 * r21273;
        float r21275 = -1/2;
        float r21276 = r21265 * r21265;
        float r21277 = 1;
        float r21278 = fma(r21275, r21276, r21277);
        float r21279 = fma(r21271, r21274, r21278);
        float r21280 = r21269 / r21279;
        float r21281 = r21265 - r21280;
        float r21282 = -2.7126055391685166e+162;
        bool r21283 = r21281 <= r21282;
        float r21284 = r21264 * r21263;
        float r21285 = cos(r21284);
        float r21286 = r21285 * r21267;
        float r21287 = sin(r21284);
        float r21288 = r21287 / r21267;
        float r21289 = r21286 / r21288;
        float r21290 = r21277 / r21289;
        float r21291 = r21284 - r21290;
        float r21292 = 2.174789653348066e+100;
        bool r21293 = r21281 <= r21292;
        float r21294 = r21277 / r21286;
        float r21295 = r21288 * r21294;
        float r21296 = r21284 - r21295;
        float r21297 = r21293 ? r21281 : r21296;
        float r21298 = r21283 ? r21291 : r21297;
        return r21298;
}

double f_od(double F, double l) {
        double r21299 = l;
        double r21300 = atan2(1.0, 0.0);
        double r21301 = r21299 * r21300;
        double r21302 = sin(r21301);
        double r21303 = F;
        double r21304 = r21303 * r21303;
        double r21305 = r21302 / r21304;
        double r21306 = 4;
        double r21307 = pow(r21299, r21306);
        double r21308 = pow(r21300, r21306);
        double r21309 = 1/24;
        double r21310 = r21308 * r21309;
        double r21311 = -1/2;
        double r21312 = r21301 * r21301;
        double r21313 = 1;
        double r21314 = fma(r21311, r21312, r21313);
        double r21315 = fma(r21307, r21310, r21314);
        double r21316 = r21305 / r21315;
        double r21317 = r21301 - r21316;
        double r21318 = -2.7126055391685166e+162;
        bool r21319 = r21317 <= r21318;
        double r21320 = r21300 * r21299;
        double r21321 = cos(r21320);
        double r21322 = r21321 * r21303;
        double r21323 = sin(r21320);
        double r21324 = r21323 / r21303;
        double r21325 = r21322 / r21324;
        double r21326 = r21313 / r21325;
        double r21327 = r21320 - r21326;
        double r21328 = 2.174789653348066e+100;
        bool r21329 = r21317 <= r21328;
        double r21330 = r21313 / r21322;
        double r21331 = r21324 * r21330;
        double r21332 = r21320 - r21331;
        double r21333 = r21329 ? r21317 : r21332;
        double r21334 = r21319 ? r21327 : r21333;
        return r21334;
}

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 r21335, r21336, r21337, r21338, r21339, r21340, r21341, r21342, r21343, r21344;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21335);
        mpfr_init(r21336);
        mpfr_init(r21337);
        mpfr_init_set_str(r21338, "1", 10, MPFR_RNDN);
        mpfr_init(r21339);
        mpfr_init(r21340);
        mpfr_init(r21341);
        mpfr_init(r21342);
        mpfr_init(r21343);
        mpfr_init(r21344);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21335, MPFR_RNDN);
        mpfr_set_d(r21336, l, MPFR_RNDN);
        mpfr_mul(r21337, r21335, r21336, MPFR_RNDN);
        ;
        mpfr_set_d(r21339, F, MPFR_RNDN);
        mpfr_mul(r21340, r21339, r21339, MPFR_RNDN);
        mpfr_div(r21341, r21338, r21340, MPFR_RNDN);
        mpfr_tan(r21342, r21337, MPFR_RNDN);
        mpfr_mul(r21343, r21341, r21342, MPFR_RNDN);
        mpfr_sub(r21344, r21337, r21343, MPFR_RNDN);
        return mpfr_get_d(r21344, MPFR_RNDN);
}

static mpfr_t r21345, r21346, r21347, r21348, r21349, r21350, r21351, r21352, r21353, r21354, r21355, r21356, r21357, r21358, r21359, r21360, r21361, r21362, r21363, r21364, r21365, r21366, r21367, r21368, r21369, r21370, r21371, r21372, r21373, r21374, r21375, r21376, r21377, r21378, r21379, r21380;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21345);
        mpfr_init(r21346);
        mpfr_init(r21347);
        mpfr_init(r21348);
        mpfr_init(r21349);
        mpfr_init(r21350);
        mpfr_init(r21351);
        mpfr_init_set_str(r21352, "4", 10, MPFR_RNDN);
        mpfr_init(r21353);
        mpfr_init(r21354);
        mpfr_init_set_str(r21355, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21356);
        mpfr_init_set_str(r21357, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21358);
        mpfr_init_set_str(r21359, "1", 10, MPFR_RNDN);
        mpfr_init(r21360);
        mpfr_init(r21361);
        mpfr_init(r21362);
        mpfr_init(r21363);
        mpfr_init_set_str(r21364, "-2.7126055391685166e+162", 10, MPFR_RNDN);
        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_set_str(r21374, "2.174789653348066e+100", 10, MPFR_RNDN);
        mpfr_init(r21375);
        mpfr_init(r21376);
        mpfr_init(r21377);
        mpfr_init(r21378);
        mpfr_init(r21379);
        mpfr_init(r21380);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21345, l, MPFR_RNDN);
        mpfr_const_pi(r21346, MPFR_RNDN);
        mpfr_mul(r21347, r21345, r21346, MPFR_RNDN);
        mpfr_sin(r21348, r21347, MPFR_RNDN);
        mpfr_set_d(r21349, F, MPFR_RNDN);
        mpfr_mul(r21350, r21349, r21349, MPFR_RNDN);
        mpfr_div(r21351, r21348, r21350, MPFR_RNDN);
        ;
        mpfr_pow(r21353, r21345, r21352, MPFR_RNDN);
        mpfr_pow(r21354, r21346, r21352, MPFR_RNDN);
        ;
        mpfr_mul(r21356, r21354, r21355, MPFR_RNDN);
        ;
        mpfr_mul(r21358, r21347, r21347, MPFR_RNDN);
        ;
        mpfr_fma(r21360, r21357, r21358, r21359, MPFR_RNDN);
        mpfr_fma(r21361, r21353, r21356, r21360, MPFR_RNDN);
        mpfr_div(r21362, r21351, r21361, MPFR_RNDN);
        mpfr_sub(r21363, r21347, r21362, MPFR_RNDN);
        ;
        mpfr_set_si(r21365, mpfr_cmp(r21363, r21364) <= 0, MPFR_RNDN);
        mpfr_mul(r21366, r21346, r21345, MPFR_RNDN);
        mpfr_cos(r21367, r21366, MPFR_RNDN);
        mpfr_mul(r21368, r21367, r21349, MPFR_RNDN);
        mpfr_sin(r21369, r21366, MPFR_RNDN);
        mpfr_div(r21370, r21369, r21349, MPFR_RNDN);
        mpfr_div(r21371, r21368, r21370, MPFR_RNDN);
        mpfr_div(r21372, r21359, r21371, MPFR_RNDN);
        mpfr_sub(r21373, r21366, r21372, MPFR_RNDN);
        ;
        mpfr_set_si(r21375, mpfr_cmp(r21363, r21374) <= 0, MPFR_RNDN);
        mpfr_div(r21376, r21359, r21368, MPFR_RNDN);
        mpfr_mul(r21377, r21370, r21376, MPFR_RNDN);
        mpfr_sub(r21378, r21366, r21377, MPFR_RNDN);
        if (mpfr_get_si(r21375, MPFR_RNDN)) { mpfr_set(r21379, r21363, MPFR_RNDN); } else { mpfr_set(r21379, r21378, MPFR_RNDN); };
        if (mpfr_get_si(r21365, MPFR_RNDN)) { mpfr_set(r21380, r21373, MPFR_RNDN); } else { mpfr_set(r21380, r21379, MPFR_RNDN); };
        return mpfr_get_d(r21380, MPFR_RNDN);
}

static mpfr_t r21381, r21382, r21383, r21384, r21385, r21386, r21387, r21388, r21389, r21390, r21391, r21392, r21393, r21394, r21395, r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r21381);
        mpfr_init(r21382);
        mpfr_init(r21383);
        mpfr_init(r21384);
        mpfr_init(r21385);
        mpfr_init(r21386);
        mpfr_init(r21387);
        mpfr_init_set_str(r21388, "4", 10, MPFR_RNDN);
        mpfr_init(r21389);
        mpfr_init(r21390);
        mpfr_init_set_str(r21391, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21392);
        mpfr_init_set_str(r21393, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r21394);
        mpfr_init_set_str(r21395, "1", 10, MPFR_RNDN);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init_set_str(r21400, "-2.7126055391685166e+162", 10, MPFR_RNDN);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init_set_str(r21410, "2.174789653348066e+100", 10, MPFR_RNDN);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init(r21413);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21381, l, MPFR_RNDN);
        mpfr_const_pi(r21382, MPFR_RNDN);
        mpfr_mul(r21383, r21381, r21382, MPFR_RNDN);
        mpfr_sin(r21384, r21383, MPFR_RNDN);
        mpfr_set_d(r21385, F, MPFR_RNDN);
        mpfr_mul(r21386, r21385, r21385, MPFR_RNDN);
        mpfr_div(r21387, r21384, r21386, MPFR_RNDN);
        ;
        mpfr_pow(r21389, r21381, r21388, MPFR_RNDN);
        mpfr_pow(r21390, r21382, r21388, MPFR_RNDN);
        ;
        mpfr_mul(r21392, r21390, r21391, MPFR_RNDN);
        ;
        mpfr_mul(r21394, r21383, r21383, MPFR_RNDN);
        ;
        mpfr_fma(r21396, r21393, r21394, r21395, MPFR_RNDN);
        mpfr_fma(r21397, r21389, r21392, r21396, MPFR_RNDN);
        mpfr_div(r21398, r21387, r21397, MPFR_RNDN);
        mpfr_sub(r21399, r21383, r21398, MPFR_RNDN);
        ;
        mpfr_set_si(r21401, mpfr_cmp(r21399, r21400) <= 0, MPFR_RNDN);
        mpfr_mul(r21402, r21382, r21381, MPFR_RNDN);
        mpfr_cos(r21403, r21402, MPFR_RNDN);
        mpfr_mul(r21404, r21403, r21385, MPFR_RNDN);
        mpfr_sin(r21405, r21402, MPFR_RNDN);
        mpfr_div(r21406, r21405, r21385, MPFR_RNDN);
        mpfr_div(r21407, r21404, r21406, MPFR_RNDN);
        mpfr_div(r21408, r21395, r21407, MPFR_RNDN);
        mpfr_sub(r21409, r21402, r21408, MPFR_RNDN);
        ;
        mpfr_set_si(r21411, mpfr_cmp(r21399, r21410) <= 0, MPFR_RNDN);
        mpfr_div(r21412, r21395, r21404, MPFR_RNDN);
        mpfr_mul(r21413, r21406, r21412, MPFR_RNDN);
        mpfr_sub(r21414, r21402, r21413, MPFR_RNDN);
        if (mpfr_get_si(r21411, MPFR_RNDN)) { mpfr_set(r21415, r21399, MPFR_RNDN); } else { mpfr_set(r21415, r21414, MPFR_RNDN); };
        if (mpfr_get_si(r21401, MPFR_RNDN)) { mpfr_set(r21416, r21409, MPFR_RNDN); } else { mpfr_set(r21416, r21415, MPFR_RNDN); };
        return mpfr_get_d(r21416, MPFR_RNDN);
}