#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 r23318 = atan2(1.0, 0.0);
        float r23319 = l;
        float r23320 = r23318 * r23319;
        float r23321 = 1;
        float r23322 = F;
        float r23323 = r23322 * r23322;
        float r23324 = r23321 / r23323;
        float r23325 = tan(r23320);
        float r23326 = r23324 * r23325;
        float r23327 = r23320 - r23326;
        return r23327;
}

double f_id(double F, double l) {
        double r23328 = atan2(1.0, 0.0);
        double r23329 = l;
        double r23330 = r23328 * r23329;
        double r23331 = 1;
        double r23332 = F;
        double r23333 = r23332 * r23332;
        double r23334 = r23331 / r23333;
        double r23335 = tan(r23330);
        double r23336 = r23334 * r23335;
        double r23337 = r23330 - r23336;
        return r23337;
}


double f_of(float F, float l) {
        float r23338 = l;
        float r23339 = -3.724350483518799e+27;
        bool r23340 = r23338 <= r23339;
        float r23341 = atan2(1.0, 0.0);
        float r23342 = r23338 * r23341;
        float r23343 = r23341 / r23338;
        float r23344 = sin(r23343);
        float r23345 = cos(r23343);
        float r23346 = r23344 / r23345;
        float r23347 = F;
        float r23348 = r23346 / r23347;
        float r23349 = r23348 / r23347;
        float r23350 = r23342 - r23349;
        float r23351 = tan(r23342);
        float r23352 = r23351 / r23347;
        float r23353 = r23352 / r23347;
        float r23354 = r23342 - r23353;
        float r23355 = r23340 ? r23350 : r23354;
        return r23355;
}

double f_od(double F, double l) {
        double r23356 = l;
        double r23357 = -3.724350483518799e+27;
        bool r23358 = r23356 <= r23357;
        double r23359 = atan2(1.0, 0.0);
        double r23360 = r23356 * r23359;
        double r23361 = r23359 / r23356;
        double r23362 = sin(r23361);
        double r23363 = cos(r23361);
        double r23364 = r23362 / r23363;
        double r23365 = F;
        double r23366 = r23364 / r23365;
        double r23367 = r23366 / r23365;
        double r23368 = r23360 - r23367;
        double r23369 = tan(r23360);
        double r23370 = r23369 / r23365;
        double r23371 = r23370 / r23365;
        double r23372 = r23360 - r23371;
        double r23373 = r23358 ? r23368 : r23372;
        return r23373;
}

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 r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23374);
        mpfr_init(r23375);
        mpfr_init(r23376);
        mpfr_init_set_str(r23377, "1", 10, MPFR_RNDN);
        mpfr_init(r23378);
        mpfr_init(r23379);
        mpfr_init(r23380);
        mpfr_init(r23381);
        mpfr_init(r23382);
        mpfr_init(r23383);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23374, MPFR_RNDN);
        mpfr_set_d(r23375, l, MPFR_RNDN);
        mpfr_mul(r23376, r23374, r23375, MPFR_RNDN);
        ;
        mpfr_set_d(r23378, F, MPFR_RNDN);
        mpfr_mul(r23379, r23378, r23378, MPFR_RNDN);
        mpfr_div(r23380, r23377, r23379, MPFR_RNDN);
        mpfr_tan(r23381, r23376, MPFR_RNDN);
        mpfr_mul(r23382, r23380, r23381, MPFR_RNDN);
        mpfr_sub(r23383, r23376, r23382, MPFR_RNDN);
        return mpfr_get_d(r23383, MPFR_RNDN);
}

static mpfr_t r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399, r23400, r23401;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23384);
        mpfr_init_set_str(r23385, "-3.724350483518799e+27", 10, MPFR_RNDN);
        mpfr_init(r23386);
        mpfr_init(r23387);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
}

double f_fm(double F, double l) {
        mpfr_set_d(r23384, l, MPFR_RNDN);
        ;
        mpfr_set_si(r23386, mpfr_cmp(r23384, r23385) <= 0, MPFR_RNDN);
        mpfr_const_pi(r23387, MPFR_RNDN);
        mpfr_mul(r23388, r23384, r23387, MPFR_RNDN);
        mpfr_div(r23389, r23387, r23384, MPFR_RNDN);
        mpfr_sin(r23390, r23389, MPFR_RNDN);
        mpfr_cos(r23391, r23389, MPFR_RNDN);
        mpfr_div(r23392, r23390, r23391, MPFR_RNDN);
        mpfr_set_d(r23393, F, MPFR_RNDN);
        mpfr_div(r23394, r23392, r23393, MPFR_RNDN);
        mpfr_div(r23395, r23394, r23393, MPFR_RNDN);
        mpfr_sub(r23396, r23388, r23395, MPFR_RNDN);
        mpfr_tan(r23397, r23388, MPFR_RNDN);
        mpfr_div(r23398, r23397, r23393, MPFR_RNDN);
        mpfr_div(r23399, r23398, r23393, MPFR_RNDN);
        mpfr_sub(r23400, r23388, r23399, MPFR_RNDN);
        if (mpfr_get_si(r23386, MPFR_RNDN)) { mpfr_set(r23401, r23396, MPFR_RNDN); } else { mpfr_set(r23401, r23400, MPFR_RNDN); };
        return mpfr_get_d(r23401, MPFR_RNDN);
}

static mpfr_t r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23402);
        mpfr_init_set_str(r23403, "-3.724350483518799e+27", 10, MPFR_RNDN);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
        mpfr_init(r23408);
        mpfr_init(r23409);
        mpfr_init(r23410);
        mpfr_init(r23411);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
        mpfr_init(r23416);
        mpfr_init(r23417);
        mpfr_init(r23418);
        mpfr_init(r23419);
}

double f_dm(double F, double l) {
        mpfr_set_d(r23402, l, MPFR_RNDN);
        ;
        mpfr_set_si(r23404, mpfr_cmp(r23402, r23403) <= 0, MPFR_RNDN);
        mpfr_const_pi(r23405, MPFR_RNDN);
        mpfr_mul(r23406, r23402, r23405, MPFR_RNDN);
        mpfr_div(r23407, r23405, r23402, MPFR_RNDN);
        mpfr_sin(r23408, r23407, MPFR_RNDN);
        mpfr_cos(r23409, r23407, MPFR_RNDN);
        mpfr_div(r23410, r23408, r23409, MPFR_RNDN);
        mpfr_set_d(r23411, F, MPFR_RNDN);
        mpfr_div(r23412, r23410, r23411, MPFR_RNDN);
        mpfr_div(r23413, r23412, r23411, MPFR_RNDN);
        mpfr_sub(r23414, r23406, r23413, MPFR_RNDN);
        mpfr_tan(r23415, r23406, MPFR_RNDN);
        mpfr_div(r23416, r23415, r23411, MPFR_RNDN);
        mpfr_div(r23417, r23416, r23411, MPFR_RNDN);
        mpfr_sub(r23418, r23406, r23417, MPFR_RNDN);
        if (mpfr_get_si(r23404, MPFR_RNDN)) { mpfr_set(r23419, r23414, MPFR_RNDN); } else { mpfr_set(r23419, r23418, MPFR_RNDN); };
        return mpfr_get_d(r23419, MPFR_RNDN);
}

