#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 r22356 = 1;
        float r22357 = 5;
        float r22358 = v;
        float r22359 = r22358 * r22358;
        float r22360 = r22357 * r22359;
        float r22361 = r22356 - r22360;
        float r22362 = atan2(1.0, 0.0);
        float r22363 = t;
        float r22364 = r22362 * r22363;
        float r22365 = 2;
        float r22366 = 3;
        float r22367 = r22366 * r22359;
        float r22368 = r22356 - r22367;
        float r22369 = r22365 * r22368;
        float r22370 = sqrt(r22369);
        float r22371 = r22364 * r22370;
        float r22372 = r22356 - r22359;
        float r22373 = r22371 * r22372;
        float r22374 = r22361 / r22373;
        return r22374;
}

double f_id(double v, double t) {
        double r22375 = 1;
        double r22376 = 5;
        double r22377 = v;
        double r22378 = r22377 * r22377;
        double r22379 = r22376 * r22378;
        double r22380 = r22375 - r22379;
        double r22381 = atan2(1.0, 0.0);
        double r22382 = t;
        double r22383 = r22381 * r22382;
        double r22384 = 2;
        double r22385 = 3;
        double r22386 = r22385 * r22378;
        double r22387 = r22375 - r22386;
        double r22388 = r22384 * r22387;
        double r22389 = sqrt(r22388);
        double r22390 = r22383 * r22389;
        double r22391 = r22375 - r22378;
        double r22392 = r22390 * r22391;
        double r22393 = r22380 / r22392;
        return r22393;
}


double f_of(float v, float t) {
        float r22394 = 1;
        float r22395 = 5;
        float r22396 = v;
        float r22397 = r22396 * r22396;
        float r22398 = r22395 * r22397;
        float r22399 = r22394 - r22398;
        float r22400 = atan2(1.0, 0.0);
        float r22401 = t;
        float r22402 = r22400 * r22401;
        float r22403 = r22399 / r22402;
        float r22404 = 2;
        float r22405 = 3;
        float r22406 = r22405 * r22397;
        float r22407 = r22394 - r22406;
        float r22408 = r22404 * r22407;
        float r22409 = sqrt(r22408);
        float r22410 = r22403 / r22409;
        float r22411 = r22394 - r22397;
        float r22412 = r22410 / r22411;
        return r22412;
}

double f_od(double v, double t) {
        double r22413 = 1;
        double r22414 = 5;
        double r22415 = v;
        double r22416 = r22415 * r22415;
        double r22417 = r22414 * r22416;
        double r22418 = r22413 - r22417;
        double r22419 = atan2(1.0, 0.0);
        double r22420 = t;
        double r22421 = r22419 * r22420;
        double r22422 = r22418 / r22421;
        double r22423 = 2;
        double r22424 = 3;
        double r22425 = r22424 * r22416;
        double r22426 = r22413 - r22425;
        double r22427 = r22423 * r22426;
        double r22428 = sqrt(r22427);
        double r22429 = r22422 / r22428;
        double r22430 = r22413 - r22416;
        double r22431 = r22429 / r22430;
        return r22431;
}

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 r22432, r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22432, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22433, "5", 10, MPFR_RNDN);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init_set_str(r22441, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r22442, "3", 10, MPFR_RNDN);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r22434, v, MPFR_RNDN);
        mpfr_mul(r22435, r22434, r22434, MPFR_RNDN);
        mpfr_mul(r22436, r22433, r22435, MPFR_RNDN);
        mpfr_sub(r22437, r22432, r22436, MPFR_RNDN);
        mpfr_const_pi(r22438, MPFR_RNDN);
        mpfr_set_d(r22439, t, MPFR_RNDN);
        mpfr_mul(r22440, r22438, r22439, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r22443, r22442, r22435, MPFR_RNDN);
        mpfr_sub(r22444, r22432, r22443, MPFR_RNDN);
        mpfr_mul(r22445, r22441, r22444, MPFR_RNDN);
        mpfr_sqrt(r22446, r22445, MPFR_RNDN);
        mpfr_mul(r22447, r22440, r22446, MPFR_RNDN);
        mpfr_sub(r22448, r22432, r22435, MPFR_RNDN);
        mpfr_mul(r22449, r22447, r22448, MPFR_RNDN);
        mpfr_div(r22450, r22437, r22449, MPFR_RNDN);
        return mpfr_get_d(r22450, MPFR_RNDN);
}

static mpfr_t r22451, r22452, r22453, r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22451, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22452, "5", 10, MPFR_RNDN);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init_set_str(r22461, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r22462, "3", 10, MPFR_RNDN);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init(r22469);
}

double f_fm(double v, double t) {
        ;
        ;
        mpfr_set_d(r22453, v, MPFR_RNDN);
        mpfr_mul(r22454, r22453, r22453, MPFR_RNDN);
        mpfr_mul(r22455, r22452, r22454, MPFR_RNDN);
        mpfr_sub(r22456, r22451, r22455, MPFR_RNDN);
        mpfr_const_pi(r22457, MPFR_RNDN);
        mpfr_set_d(r22458, t, MPFR_RNDN);
        mpfr_mul(r22459, r22457, r22458, MPFR_RNDN);
        mpfr_div(r22460, r22456, r22459, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r22463, r22462, r22454, MPFR_RNDN);
        mpfr_sub(r22464, r22451, r22463, MPFR_RNDN);
        mpfr_mul(r22465, r22461, r22464, MPFR_RNDN);
        mpfr_sqrt(r22466, r22465, MPFR_RNDN);
        mpfr_div(r22467, r22460, r22466, MPFR_RNDN);
        mpfr_sub(r22468, r22451, r22454, MPFR_RNDN);
        mpfr_div(r22469, r22467, r22468, MPFR_RNDN);
        return mpfr_get_d(r22469, MPFR_RNDN);
}

static mpfr_t r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22470, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22471, "5", 10, MPFR_RNDN);
        mpfr_init(r22472);
        mpfr_init(r22473);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init_set_str(r22480, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r22481, "3", 10, MPFR_RNDN);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
}

double f_dm(double v, double t) {
        ;
        ;
        mpfr_set_d(r22472, v, MPFR_RNDN);
        mpfr_mul(r22473, r22472, r22472, MPFR_RNDN);
        mpfr_mul(r22474, r22471, r22473, MPFR_RNDN);
        mpfr_sub(r22475, r22470, r22474, MPFR_RNDN);
        mpfr_const_pi(r22476, MPFR_RNDN);
        mpfr_set_d(r22477, t, MPFR_RNDN);
        mpfr_mul(r22478, r22476, r22477, MPFR_RNDN);
        mpfr_div(r22479, r22475, r22478, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r22482, r22481, r22473, MPFR_RNDN);
        mpfr_sub(r22483, r22470, r22482, MPFR_RNDN);
        mpfr_mul(r22484, r22480, r22483, MPFR_RNDN);
        mpfr_sqrt(r22485, r22484, MPFR_RNDN);
        mpfr_div(r22486, r22479, r22485, MPFR_RNDN);
        mpfr_sub(r22487, r22470, r22473, MPFR_RNDN);
        mpfr_div(r22488, r22486, r22487, MPFR_RNDN);
        return mpfr_get_d(r22488, MPFR_RNDN);
}