#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 r22284 = 1;
        float r22285 = 5;
        float r22286 = v;
        float r22287 = r22286 * r22286;
        float r22288 = r22285 * r22287;
        float r22289 = r22284 - r22288;
        float r22290 = atan2(1.0, 0.0);
        float r22291 = t;
        float r22292 = r22290 * r22291;
        float r22293 = 2;
        float r22294 = 3;
        float r22295 = r22294 * r22287;
        float r22296 = r22284 - r22295;
        float r22297 = r22293 * r22296;
        float r22298 = sqrt(r22297);
        float r22299 = r22292 * r22298;
        float r22300 = r22284 - r22287;
        float r22301 = r22299 * r22300;
        float r22302 = r22289 / r22301;
        return r22302;
}

double f_id(double v, double t) {
        double r22303 = 1;
        double r22304 = 5;
        double r22305 = v;
        double r22306 = r22305 * r22305;
        double r22307 = r22304 * r22306;
        double r22308 = r22303 - r22307;
        double r22309 = atan2(1.0, 0.0);
        double r22310 = t;
        double r22311 = r22309 * r22310;
        double r22312 = 2;
        double r22313 = 3;
        double r22314 = r22313 * r22306;
        double r22315 = r22303 - r22314;
        double r22316 = r22312 * r22315;
        double r22317 = sqrt(r22316);
        double r22318 = r22311 * r22317;
        double r22319 = r22303 - r22306;
        double r22320 = r22318 * r22319;
        double r22321 = r22308 / r22320;
        return r22321;
}


double f_of(float v, float t) {
        float r22322 = 1;
        float r22323 = t;
        float r22324 = r22322 / r22323;
        float r22325 = atan2(1.0, 0.0);
        float r22326 = r22322 / r22325;
        float r22327 = v;
        float r22328 = r22327 * r22327;
        float r22329 = r22328 * r22328;
        float r22330 = r22322 - r22329;
        float r22331 = r22326 / r22330;
        float r22332 = 2;
        float r22333 = r22327 + r22327;
        float r22334 = r22333 * r22327;
        float r22335 = 3;
        float r22336 = r22327 * r22335;
        float r22337 = r22336 * r22336;
        float r22338 = r22334 * r22337;
        float r22339 = r22332 - r22338;
        float r22340 = sqrt(r22339);
        float r22341 = r22331 / r22340;
        float r22342 = r22324 * r22341;
        float r22343 = r22335 * r22328;
        float r22344 = r22322 + r22343;
        float r22345 = sqrt(r22344);
        float r22346 = r22322 + r22328;
        float r22347 = r22345 * r22346;
        float r22348 = r22342 * r22347;
        float r22349 = 5;
        float r22350 = r22349 * r22328;
        float r22351 = r22325 * r22323;
        float r22352 = r22322 - r22343;
        float r22353 = r22332 * r22352;
        float r22354 = sqrt(r22353);
        float r22355 = r22351 * r22354;
        float r22356 = r22322 - r22328;
        float r22357 = r22355 * r22356;
        float r22358 = r22350 / r22357;
        float r22359 = r22348 - r22358;
        return r22359;
}

double f_od(double v, double t) {
        double r22360 = 1;
        double r22361 = t;
        double r22362 = r22360 / r22361;
        double r22363 = atan2(1.0, 0.0);
        double r22364 = r22360 / r22363;
        double r22365 = v;
        double r22366 = r22365 * r22365;
        double r22367 = r22366 * r22366;
        double r22368 = r22360 - r22367;
        double r22369 = r22364 / r22368;
        double r22370 = 2;
        double r22371 = r22365 + r22365;
        double r22372 = r22371 * r22365;
        double r22373 = 3;
        double r22374 = r22365 * r22373;
        double r22375 = r22374 * r22374;
        double r22376 = r22372 * r22375;
        double r22377 = r22370 - r22376;
        double r22378 = sqrt(r22377);
        double r22379 = r22369 / r22378;
        double r22380 = r22362 * r22379;
        double r22381 = r22373 * r22366;
        double r22382 = r22360 + r22381;
        double r22383 = sqrt(r22382);
        double r22384 = r22360 + r22366;
        double r22385 = r22383 * r22384;
        double r22386 = r22380 * r22385;
        double r22387 = 5;
        double r22388 = r22387 * r22366;
        double r22389 = r22363 * r22361;
        double r22390 = r22360 - r22381;
        double r22391 = r22370 * r22390;
        double r22392 = sqrt(r22391);
        double r22393 = r22389 * r22392;
        double r22394 = r22360 - r22366;
        double r22395 = r22393 * r22394;
        double r22396 = r22388 / r22395;
        double r22397 = r22386 - r22396;
        return r22397;
}

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 r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22398, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22399, "5", 10, MPFR_RNDN);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init_set_str(r22407, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r22400, v, MPFR_RNDN);
        mpfr_mul(r22401, r22400, r22400, MPFR_RNDN);
        mpfr_mul(r22402, r22399, r22401, MPFR_RNDN);
        mpfr_sub(r22403, r22398, r22402, MPFR_RNDN);
        mpfr_const_pi(r22404, MPFR_RNDN);
        mpfr_set_d(r22405, t, MPFR_RNDN);
        mpfr_mul(r22406, r22404, r22405, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r22409, r22408, r22401, MPFR_RNDN);
        mpfr_sub(r22410, r22398, r22409, MPFR_RNDN);
        mpfr_mul(r22411, r22407, r22410, MPFR_RNDN);
        mpfr_sqrt(r22412, r22411, MPFR_RNDN);
        mpfr_mul(r22413, r22406, r22412, MPFR_RNDN);
        mpfr_sub(r22414, r22398, r22401, MPFR_RNDN);
        mpfr_mul(r22415, r22413, r22414, MPFR_RNDN);
        mpfr_div(r22416, r22403, r22415, MPFR_RNDN);
        return mpfr_get_d(r22416, MPFR_RNDN);
}

static mpfr_t r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22417, "1", 10, MPFR_RNDN);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init_set_str(r22427, "2", 10, MPFR_RNDN);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init_set_str(r22430, "3", 10, MPFR_RNDN);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init_set_str(r22444, "5", 10, MPFR_RNDN);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
}

double f_fm(double v, double t) {
        ;
        mpfr_set_d(r22418, t, MPFR_RNDN);
        mpfr_div(r22419, r22417, r22418, MPFR_RNDN);
        mpfr_const_pi(r22420, MPFR_RNDN);
        mpfr_div(r22421, r22417, r22420, MPFR_RNDN);
        mpfr_set_d(r22422, v, MPFR_RNDN);
        mpfr_mul(r22423, r22422, r22422, MPFR_RNDN);
        mpfr_mul(r22424, r22423, r22423, MPFR_RNDN);
        mpfr_sub(r22425, r22417, r22424, MPFR_RNDN);
        mpfr_div(r22426, r22421, r22425, MPFR_RNDN);
        ;
        mpfr_add(r22428, r22422, r22422, MPFR_RNDN);
        mpfr_mul(r22429, r22428, r22422, MPFR_RNDN);
        ;
        mpfr_mul(r22431, r22422, r22430, MPFR_RNDN);
        mpfr_mul(r22432, r22431, r22431, MPFR_RNDN);
        mpfr_mul(r22433, r22429, r22432, MPFR_RNDN);
        mpfr_sub(r22434, r22427, r22433, MPFR_RNDN);
        mpfr_sqrt(r22435, r22434, MPFR_RNDN);
        mpfr_div(r22436, r22426, r22435, MPFR_RNDN);
        mpfr_mul(r22437, r22419, r22436, MPFR_RNDN);
        mpfr_mul(r22438, r22430, r22423, MPFR_RNDN);
        mpfr_add(r22439, r22417, r22438, MPFR_RNDN);
        mpfr_sqrt(r22440, r22439, MPFR_RNDN);
        mpfr_add(r22441, r22417, r22423, MPFR_RNDN);
        mpfr_mul(r22442, r22440, r22441, MPFR_RNDN);
        mpfr_mul(r22443, r22437, r22442, MPFR_RNDN);
        ;
        mpfr_mul(r22445, r22444, r22423, MPFR_RNDN);
        mpfr_mul(r22446, r22420, r22418, MPFR_RNDN);
        mpfr_sub(r22447, r22417, r22438, MPFR_RNDN);
        mpfr_mul(r22448, r22427, r22447, MPFR_RNDN);
        mpfr_sqrt(r22449, r22448, MPFR_RNDN);
        mpfr_mul(r22450, r22446, r22449, MPFR_RNDN);
        mpfr_sub(r22451, r22417, r22423, MPFR_RNDN);
        mpfr_mul(r22452, r22450, r22451, MPFR_RNDN);
        mpfr_div(r22453, r22445, r22452, MPFR_RNDN);
        mpfr_sub(r22454, r22443, r22453, MPFR_RNDN);
        return mpfr_get_d(r22454, MPFR_RNDN);
}

static mpfr_t r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22455, "1", 10, MPFR_RNDN);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init_set_str(r22465, "2", 10, MPFR_RNDN);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init_set_str(r22468, "3", 10, MPFR_RNDN);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
        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(r22480);
        mpfr_init(r22481);
        mpfr_init_set_str(r22482, "5", 10, MPFR_RNDN);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
        mpfr_init(r22490);
        mpfr_init(r22491);
        mpfr_init(r22492);
}

double f_dm(double v, double t) {
        ;
        mpfr_set_d(r22456, t, MPFR_RNDN);
        mpfr_div(r22457, r22455, r22456, MPFR_RNDN);
        mpfr_const_pi(r22458, MPFR_RNDN);
        mpfr_div(r22459, r22455, r22458, MPFR_RNDN);
        mpfr_set_d(r22460, v, MPFR_RNDN);
        mpfr_mul(r22461, r22460, r22460, MPFR_RNDN);
        mpfr_mul(r22462, r22461, r22461, MPFR_RNDN);
        mpfr_sub(r22463, r22455, r22462, MPFR_RNDN);
        mpfr_div(r22464, r22459, r22463, MPFR_RNDN);
        ;
        mpfr_add(r22466, r22460, r22460, MPFR_RNDN);
        mpfr_mul(r22467, r22466, r22460, MPFR_RNDN);
        ;
        mpfr_mul(r22469, r22460, r22468, MPFR_RNDN);
        mpfr_mul(r22470, r22469, r22469, MPFR_RNDN);
        mpfr_mul(r22471, r22467, r22470, MPFR_RNDN);
        mpfr_sub(r22472, r22465, r22471, MPFR_RNDN);
        mpfr_sqrt(r22473, r22472, MPFR_RNDN);
        mpfr_div(r22474, r22464, r22473, MPFR_RNDN);
        mpfr_mul(r22475, r22457, r22474, MPFR_RNDN);
        mpfr_mul(r22476, r22468, r22461, MPFR_RNDN);
        mpfr_add(r22477, r22455, r22476, MPFR_RNDN);
        mpfr_sqrt(r22478, r22477, MPFR_RNDN);
        mpfr_add(r22479, r22455, r22461, MPFR_RNDN);
        mpfr_mul(r22480, r22478, r22479, MPFR_RNDN);
        mpfr_mul(r22481, r22475, r22480, MPFR_RNDN);
        ;
        mpfr_mul(r22483, r22482, r22461, MPFR_RNDN);
        mpfr_mul(r22484, r22458, r22456, MPFR_RNDN);
        mpfr_sub(r22485, r22455, r22476, MPFR_RNDN);
        mpfr_mul(r22486, r22465, r22485, MPFR_RNDN);
        mpfr_sqrt(r22487, r22486, MPFR_RNDN);
        mpfr_mul(r22488, r22484, r22487, MPFR_RNDN);
        mpfr_sub(r22489, r22455, r22461, MPFR_RNDN);
        mpfr_mul(r22490, r22488, r22489, MPFR_RNDN);
        mpfr_div(r22491, r22483, r22490, MPFR_RNDN);
        mpfr_sub(r22492, r22481, r22491, MPFR_RNDN);
        return mpfr_get_d(r22492, MPFR_RNDN);
}