#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 r22244 = 1;
        float r22245 = 5;
        float r22246 = v;
        float r22247 = r22246 * r22246;
        float r22248 = r22245 * r22247;
        float r22249 = r22244 - r22248;
        float r22250 = atan2(1.0, 0.0);
        float r22251 = t;
        float r22252 = r22250 * r22251;
        float r22253 = 2;
        float r22254 = 3;
        float r22255 = r22254 * r22247;
        float r22256 = r22244 - r22255;
        float r22257 = r22253 * r22256;
        float r22258 = sqrt(r22257);
        float r22259 = r22252 * r22258;
        float r22260 = r22244 - r22247;
        float r22261 = r22259 * r22260;
        float r22262 = r22249 / r22261;
        return r22262;
}

double f_id(double v, double t) {
        double r22263 = 1;
        double r22264 = 5;
        double r22265 = v;
        double r22266 = r22265 * r22265;
        double r22267 = r22264 * r22266;
        double r22268 = r22263 - r22267;
        double r22269 = atan2(1.0, 0.0);
        double r22270 = t;
        double r22271 = r22269 * r22270;
        double r22272 = 2;
        double r22273 = 3;
        double r22274 = r22273 * r22266;
        double r22275 = r22263 - r22274;
        double r22276 = r22272 * r22275;
        double r22277 = sqrt(r22276);
        double r22278 = r22271 * r22277;
        double r22279 = r22263 - r22266;
        double r22280 = r22278 * r22279;
        double r22281 = r22268 / r22280;
        return r22281;
}


double f_of(float v, float t) {
        float r22282 = 1;
        float r22283 = v;
        float r22284 = 5;
        float r22285 = r22283 * r22284;
        float r22286 = r22285 * r22283;
        float r22287 = r22282 - r22286;
        float r22288 = sqrt(r22287);
        float r22289 = cbrt(r22288);
        float r22290 = r22289 * r22289;
        float r22291 = t;
        float r22292 = r22290 / r22291;
        float r22293 = sqrt(r22282);
        float r22294 = r22292 / r22293;
        float r22295 = atan2(1.0, 0.0);
        float r22296 = r22289 / r22295;
        float r22297 = 2;
        float r22298 = r22283 * r22283;
        float r22299 = 3;
        float r22300 = r22299 + r22299;
        float r22301 = r22298 * r22300;
        float r22302 = r22297 - r22301;
        float r22303 = sqrt(r22302);
        float r22304 = r22296 / r22303;
        float r22305 = r22294 * r22304;
        float r22306 = r22284 * r22298;
        float r22307 = r22282 - r22306;
        float r22308 = sqrt(r22307);
        float r22309 = r22282 - r22298;
        float r22310 = r22308 / r22309;
        float r22311 = r22305 * r22310;
        return r22311;
}

double f_od(double v, double t) {
        double r22312 = 1;
        double r22313 = v;
        double r22314 = 5;
        double r22315 = r22313 * r22314;
        double r22316 = r22315 * r22313;
        double r22317 = r22312 - r22316;
        double r22318 = sqrt(r22317);
        double r22319 = cbrt(r22318);
        double r22320 = r22319 * r22319;
        double r22321 = t;
        double r22322 = r22320 / r22321;
        double r22323 = sqrt(r22312);
        double r22324 = r22322 / r22323;
        double r22325 = atan2(1.0, 0.0);
        double r22326 = r22319 / r22325;
        double r22327 = 2;
        double r22328 = r22313 * r22313;
        double r22329 = 3;
        double r22330 = r22329 + r22329;
        double r22331 = r22328 * r22330;
        double r22332 = r22327 - r22331;
        double r22333 = sqrt(r22332);
        double r22334 = r22326 / r22333;
        double r22335 = r22324 * r22334;
        double r22336 = r22314 * r22328;
        double r22337 = r22312 - r22336;
        double r22338 = sqrt(r22337);
        double r22339 = r22312 - r22328;
        double r22340 = r22338 / r22339;
        double r22341 = r22335 * r22340;
        return r22341;
}

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 r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359, r22360;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22342, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22343, "5", 10, MPFR_RNDN);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init(r22346);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init_set_str(r22351, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r22352, "3", 10, MPFR_RNDN);
        mpfr_init(r22353);
        mpfr_init(r22354);
        mpfr_init(r22355);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
        mpfr_init(r22360);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r22344, v, MPFR_RNDN);
        mpfr_mul(r22345, r22344, r22344, MPFR_RNDN);
        mpfr_mul(r22346, r22343, r22345, MPFR_RNDN);
        mpfr_sub(r22347, r22342, r22346, MPFR_RNDN);
        mpfr_const_pi(r22348, MPFR_RNDN);
        mpfr_set_d(r22349, t, MPFR_RNDN);
        mpfr_mul(r22350, r22348, r22349, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r22353, r22352, r22345, MPFR_RNDN);
        mpfr_sub(r22354, r22342, r22353, MPFR_RNDN);
        mpfr_mul(r22355, r22351, r22354, MPFR_RNDN);
        mpfr_sqrt(r22356, r22355, MPFR_RNDN);
        mpfr_mul(r22357, r22350, r22356, MPFR_RNDN);
        mpfr_sub(r22358, r22342, r22345, MPFR_RNDN);
        mpfr_mul(r22359, r22357, r22358, MPFR_RNDN);
        mpfr_div(r22360, r22347, r22359, MPFR_RNDN);
        return mpfr_get_d(r22360, MPFR_RNDN);
}

static mpfr_t r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22361, "1", 10, MPFR_RNDN);
        mpfr_init(r22362);
        mpfr_init_set_str(r22363, "5", 10, MPFR_RNDN);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
        mpfr_init(r22375);
        mpfr_init_set_str(r22376, "2", 10, MPFR_RNDN);
        mpfr_init(r22377);
        mpfr_init_set_str(r22378, "3", 10, MPFR_RNDN);
        mpfr_init(r22379);
        mpfr_init(r22380);
        mpfr_init(r22381);
        mpfr_init(r22382);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
}

double f_fm(double v, double t) {
        ;
        mpfr_set_d(r22362, v, MPFR_RNDN);
        ;
        mpfr_mul(r22364, r22362, r22363, MPFR_RNDN);
        mpfr_mul(r22365, r22364, r22362, MPFR_RNDN);
        mpfr_sub(r22366, r22361, r22365, MPFR_RNDN);
        mpfr_sqrt(r22367, r22366, MPFR_RNDN);
        mpfr_cbrt(r22368, r22367, MPFR_RNDN);
        mpfr_mul(r22369, r22368, r22368, MPFR_RNDN);
        mpfr_set_d(r22370, t, MPFR_RNDN);
        mpfr_div(r22371, r22369, r22370, MPFR_RNDN);
        mpfr_sqrt(r22372, r22361, MPFR_RNDN);
        mpfr_div(r22373, r22371, r22372, MPFR_RNDN);
        mpfr_const_pi(r22374, MPFR_RNDN);
        mpfr_div(r22375, r22368, r22374, MPFR_RNDN);
        ;
        mpfr_mul(r22377, r22362, r22362, MPFR_RNDN);
        ;
        mpfr_add(r22379, r22378, r22378, MPFR_RNDN);
        mpfr_mul(r22380, r22377, r22379, MPFR_RNDN);
        mpfr_sub(r22381, r22376, r22380, MPFR_RNDN);
        mpfr_sqrt(r22382, r22381, MPFR_RNDN);
        mpfr_div(r22383, r22375, r22382, MPFR_RNDN);
        mpfr_mul(r22384, r22373, r22383, MPFR_RNDN);
        mpfr_mul(r22385, r22363, r22377, MPFR_RNDN);
        mpfr_sub(r22386, r22361, r22385, MPFR_RNDN);
        mpfr_sqrt(r22387, r22386, MPFR_RNDN);
        mpfr_sub(r22388, r22361, r22377, MPFR_RNDN);
        mpfr_div(r22389, r22387, r22388, MPFR_RNDN);
        mpfr_mul(r22390, r22384, r22389, MPFR_RNDN);
        return mpfr_get_d(r22390, MPFR_RNDN);
}

static mpfr_t r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22391, "1", 10, MPFR_RNDN);
        mpfr_init(r22392);
        mpfr_init_set_str(r22393, "5", 10, MPFR_RNDN);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init_set_str(r22406, "2", 10, MPFR_RNDN);
        mpfr_init(r22407);
        mpfr_init_set_str(r22408, "3", 10, MPFR_RNDN);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
}

double f_dm(double v, double t) {
        ;
        mpfr_set_d(r22392, v, MPFR_RNDN);
        ;
        mpfr_mul(r22394, r22392, r22393, MPFR_RNDN);
        mpfr_mul(r22395, r22394, r22392, MPFR_RNDN);
        mpfr_sub(r22396, r22391, r22395, MPFR_RNDN);
        mpfr_sqrt(r22397, r22396, MPFR_RNDN);
        mpfr_cbrt(r22398, r22397, MPFR_RNDN);
        mpfr_mul(r22399, r22398, r22398, MPFR_RNDN);
        mpfr_set_d(r22400, t, MPFR_RNDN);
        mpfr_div(r22401, r22399, r22400, MPFR_RNDN);
        mpfr_sqrt(r22402, r22391, MPFR_RNDN);
        mpfr_div(r22403, r22401, r22402, MPFR_RNDN);
        mpfr_const_pi(r22404, MPFR_RNDN);
        mpfr_div(r22405, r22398, r22404, MPFR_RNDN);
        ;
        mpfr_mul(r22407, r22392, r22392, MPFR_RNDN);
        ;
        mpfr_add(r22409, r22408, r22408, MPFR_RNDN);
        mpfr_mul(r22410, r22407, r22409, MPFR_RNDN);
        mpfr_sub(r22411, r22406, r22410, MPFR_RNDN);
        mpfr_sqrt(r22412, r22411, MPFR_RNDN);
        mpfr_div(r22413, r22405, r22412, MPFR_RNDN);
        mpfr_mul(r22414, r22403, r22413, MPFR_RNDN);
        mpfr_mul(r22415, r22393, r22407, MPFR_RNDN);
        mpfr_sub(r22416, r22391, r22415, MPFR_RNDN);
        mpfr_sqrt(r22417, r22416, MPFR_RNDN);
        mpfr_sub(r22418, r22391, r22407, MPFR_RNDN);
        mpfr_div(r22419, r22417, r22418, MPFR_RNDN);
        mpfr_mul(r22420, r22414, r22419, MPFR_RNDN);
        return mpfr_get_d(r22420, MPFR_RNDN);
}