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

char *name = "Falkner and Boettcher, Equation (20:1,3)";

double f_if(float v, float t) {
        float r23238 = 1;
        float r23239 = 5;
        float r23240 = v;
        float r23241 = r23240 * r23240;
        float r23242 = r23239 * r23241;
        float r23243 = r23238 - r23242;
        float r23244 = atan2(1.0, 0.0);
        float r23245 = t;
        float r23246 = r23244 * r23245;
        float r23247 = 2;
        float r23248 = 3;
        float r23249 = r23248 * r23241;
        float r23250 = r23238 - r23249;
        float r23251 = r23247 * r23250;
        float r23252 = sqrt(r23251);
        float r23253 = r23246 * r23252;
        float r23254 = r23238 - r23241;
        float r23255 = r23253 * r23254;
        float r23256 = r23243 / r23255;
        return r23256;
}

double f_id(double v, double t) {
        double r23257 = 1;
        double r23258 = 5;
        double r23259 = v;
        double r23260 = r23259 * r23259;
        double r23261 = r23258 * r23260;
        double r23262 = r23257 - r23261;
        double r23263 = atan2(1.0, 0.0);
        double r23264 = t;
        double r23265 = r23263 * r23264;
        double r23266 = 2;
        double r23267 = 3;
        double r23268 = r23267 * r23260;
        double r23269 = r23257 - r23268;
        double r23270 = r23266 * r23269;
        double r23271 = sqrt(r23270);
        double r23272 = r23265 * r23271;
        double r23273 = r23257 - r23260;
        double r23274 = r23272 * r23273;
        double r23275 = r23262 / r23274;
        return r23275;
}


double f_of(float v, float t) {
        float r23276 = 1;
        float r23277 = atan2(1.0, 0.0);
        float r23278 = r23276 / r23277;
        float r23279 = t;
        float r23280 = r23278 / r23279;
        float r23281 = 2;
        float r23282 = 3;
        float r23283 = v;
        float r23284 = r23283 * r23283;
        float r23285 = r23282 * r23284;
        float r23286 = r23276 - r23285;
        float r23287 = r23281 * r23286;
        float r23288 = sqrt(r23287);
        float r23289 = r23280 / r23288;
        float r23290 = 5;
        float r23291 = r23290 * r23284;
        float r23292 = r23276 - r23291;
        float r23293 = r23276 - r23284;
        float r23294 = r23292 / r23293;
        float r23295 = r23289 * r23294;
        return r23295;
}

double f_od(double v, double t) {
        double r23296 = 1;
        double r23297 = atan2(1.0, 0.0);
        double r23298 = r23296 / r23297;
        double r23299 = t;
        double r23300 = r23298 / r23299;
        double r23301 = 2;
        double r23302 = 3;
        double r23303 = v;
        double r23304 = r23303 * r23303;
        double r23305 = r23302 * r23304;
        double r23306 = r23296 - r23305;
        double r23307 = r23301 * r23306;
        double r23308 = sqrt(r23307);
        double r23309 = r23300 / r23308;
        double r23310 = 5;
        double r23311 = r23310 * r23304;
        double r23312 = r23296 - r23311;
        double r23313 = r23296 - r23304;
        double r23314 = r23312 / r23313;
        double r23315 = r23309 * r23314;
        return r23315;
}

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 r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23316, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23317, "5", 10, MPFR_RNDN);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init_set_str(r23325, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23326, "3", 10, MPFR_RNDN);
        mpfr_init(r23327);
        mpfr_init(r23328);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r23318, v, MPFR_RNDN);
        mpfr_mul(r23319, r23318, r23318, MPFR_RNDN);
        mpfr_mul(r23320, r23317, r23319, MPFR_RNDN);
        mpfr_sub(r23321, r23316, r23320, MPFR_RNDN);
        mpfr_const_pi(r23322, MPFR_RNDN);
        mpfr_set_d(r23323, t, MPFR_RNDN);
        mpfr_mul(r23324, r23322, r23323, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r23327, r23326, r23319, MPFR_RNDN);
        mpfr_sub(r23328, r23316, r23327, MPFR_RNDN);
        mpfr_mul(r23329, r23325, r23328, MPFR_RNDN);
        mpfr_sqrt(r23330, r23329, MPFR_RNDN);
        mpfr_mul(r23331, r23324, r23330, MPFR_RNDN);
        mpfr_sub(r23332, r23316, r23319, MPFR_RNDN);
        mpfr_mul(r23333, r23331, r23332, MPFR_RNDN);
        mpfr_div(r23334, r23321, r23333, MPFR_RNDN);
        return mpfr_get_d(r23334, MPFR_RNDN);
}

static mpfr_t r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342, r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23335, "1", 10, MPFR_RNDN);
        mpfr_init(r23336);
        mpfr_init(r23337);
        mpfr_init(r23338);
        mpfr_init(r23339);
        mpfr_init_set_str(r23340, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23341, "3", 10, MPFR_RNDN);
        mpfr_init(r23342);
        mpfr_init(r23343);
        mpfr_init(r23344);
        mpfr_init(r23345);
        mpfr_init(r23346);
        mpfr_init(r23347);
        mpfr_init(r23348);
        mpfr_init_set_str(r23349, "5", 10, MPFR_RNDN);
        mpfr_init(r23350);
        mpfr_init(r23351);
        mpfr_init(r23352);
        mpfr_init(r23353);
        mpfr_init(r23354);
}

double f_fm(double v, double t) {
        ;
        mpfr_const_pi(r23336, MPFR_RNDN);
        mpfr_div(r23337, r23335, r23336, MPFR_RNDN);
        mpfr_set_d(r23338, t, MPFR_RNDN);
        mpfr_div(r23339, r23337, r23338, MPFR_RNDN);
        ;
        ;
        mpfr_set_d(r23342, v, MPFR_RNDN);
        mpfr_mul(r23343, r23342, r23342, MPFR_RNDN);
        mpfr_mul(r23344, r23341, r23343, MPFR_RNDN);
        mpfr_sub(r23345, r23335, r23344, MPFR_RNDN);
        mpfr_mul(r23346, r23340, r23345, MPFR_RNDN);
        mpfr_sqrt(r23347, r23346, MPFR_RNDN);
        mpfr_div(r23348, r23339, r23347, MPFR_RNDN);
        ;
        mpfr_mul(r23350, r23349, r23343, MPFR_RNDN);
        mpfr_sub(r23351, r23335, r23350, MPFR_RNDN);
        mpfr_sub(r23352, r23335, r23343, MPFR_RNDN);
        mpfr_div(r23353, r23351, r23352, MPFR_RNDN);
        mpfr_mul(r23354, r23348, r23353, MPFR_RNDN);
        return mpfr_get_d(r23354, MPFR_RNDN);
}

static mpfr_t r23355, r23356, r23357, r23358, r23359, r23360, r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373, r23374;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23355, "1", 10, MPFR_RNDN);
        mpfr_init(r23356);
        mpfr_init(r23357);
        mpfr_init(r23358);
        mpfr_init(r23359);
        mpfr_init_set_str(r23360, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23361, "3", 10, MPFR_RNDN);
        mpfr_init(r23362);
        mpfr_init(r23363);
        mpfr_init(r23364);
        mpfr_init(r23365);
        mpfr_init(r23366);
        mpfr_init(r23367);
        mpfr_init(r23368);
        mpfr_init_set_str(r23369, "5", 10, MPFR_RNDN);
        mpfr_init(r23370);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
        mpfr_init(r23374);
}

double f_dm(double v, double t) {
        ;
        mpfr_const_pi(r23356, MPFR_RNDN);
        mpfr_div(r23357, r23355, r23356, MPFR_RNDN);
        mpfr_set_d(r23358, t, MPFR_RNDN);
        mpfr_div(r23359, r23357, r23358, MPFR_RNDN);
        ;
        ;
        mpfr_set_d(r23362, v, MPFR_RNDN);
        mpfr_mul(r23363, r23362, r23362, MPFR_RNDN);
        mpfr_mul(r23364, r23361, r23363, MPFR_RNDN);
        mpfr_sub(r23365, r23355, r23364, MPFR_RNDN);
        mpfr_mul(r23366, r23360, r23365, MPFR_RNDN);
        mpfr_sqrt(r23367, r23366, MPFR_RNDN);
        mpfr_div(r23368, r23359, r23367, MPFR_RNDN);
        ;
        mpfr_mul(r23370, r23369, r23363, MPFR_RNDN);
        mpfr_sub(r23371, r23355, r23370, MPFR_RNDN);
        mpfr_sub(r23372, r23355, r23363, MPFR_RNDN);
        mpfr_div(r23373, r23371, r23372, MPFR_RNDN);
        mpfr_mul(r23374, r23368, r23373, MPFR_RNDN);
        return mpfr_get_d(r23374, MPFR_RNDN);
}