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

char *name = "Octave 3.8, jcobi/4";

double f_if(float alpha, float beta, float i) {
        float r23351 = i;
        float r23352 = alpha;
        float r23353 = beta;
        float r23354 = r23352 + r23353;
        float r23355 = r23354 + r23351;
        float r23356 = r23351 * r23355;
        float r23357 = r23353 * r23352;
        float r23358 = r23357 + r23356;
        float r23359 = r23356 * r23358;
        float r23360 = 2;
        float r23361 = r23360 * r23351;
        float r23362 = r23354 + r23361;
        float r23363 = r23362 * r23362;
        float r23364 = r23359 / r23363;
        float r23365 = 1.0;
        float r23366 = r23363 - r23365;
        float r23367 = r23364 / r23366;
        return r23367;
}

double f_id(double alpha, double beta, double i) {
        double r23368 = i;
        double r23369 = alpha;
        double r23370 = beta;
        double r23371 = r23369 + r23370;
        double r23372 = r23371 + r23368;
        double r23373 = r23368 * r23372;
        double r23374 = r23370 * r23369;
        double r23375 = r23374 + r23373;
        double r23376 = r23373 * r23375;
        double r23377 = 2;
        double r23378 = r23377 * r23368;
        double r23379 = r23371 + r23378;
        double r23380 = r23379 * r23379;
        double r23381 = r23376 / r23380;
        double r23382 = 1.0;
        double r23383 = r23380 - r23382;
        double r23384 = r23381 / r23383;
        return r23384;
}


double f_of(float alpha, float beta, float i) {
        float r23385 = beta;
        float r23386 = alpha;
        float r23387 = i;
        float r23388 = r23386 + r23387;
        float r23389 = r23385 + r23388;
        float r23390 = r23386 + r23385;
        float r23391 = 2;
        float r23392 = r23387 * r23391;
        float r23393 = r23390 + r23392;
        float r23394 = r23389 / r23393;
        float r23395 = r23385 * r23386;
        float r23396 = r23386 * r23387;
        float r23397 = r23395 + r23396;
        float r23398 = r23387 + r23385;
        float r23399 = r23398 * r23387;
        float r23400 = r23397 + r23399;
        float r23401 = r23400 / r23393;
        float r23402 = r23394 * r23401;
        float r23403 = 4;
        float r23404 = r23403 * r23387;
        float r23405 = r23404 * r23388;
        float r23406 = r23404 * r23385;
        float r23407 = 1.0;
        float r23408 = r23406 - r23407;
        float r23409 = r23405 + r23408;
        float r23410 = r23387 / r23409;
        float r23411 = r23402 * r23410;
        float r23412 = +inf.0;
        bool r23413 = r23411 <= r23412;
        float r23414 = r23390 + r23387;
        float r23415 = r23387 * r23414;
        float r23416 = r23391 * r23387;
        float r23417 = r23390 + r23416;
        float r23418 = r23417 * r23417;
        float r23419 = r23395 + r23415;
        float r23420 = r23418 / r23419;
        float r23421 = sqrt(r23420);
        float r23422 = r23421 * r23421;
        float r23423 = r23415 / r23422;
        float r23424 = r23418 - r23407;
        float r23425 = r23423 / r23424;
        float r23426 = 0;
        float r23427 = r23413 ? r23425 : r23426;
        return r23427;
}

double f_od(double alpha, double beta, double i) {
        double r23428 = beta;
        double r23429 = alpha;
        double r23430 = i;
        double r23431 = r23429 + r23430;
        double r23432 = r23428 + r23431;
        double r23433 = r23429 + r23428;
        double r23434 = 2;
        double r23435 = r23430 * r23434;
        double r23436 = r23433 + r23435;
        double r23437 = r23432 / r23436;
        double r23438 = r23428 * r23429;
        double r23439 = r23429 * r23430;
        double r23440 = r23438 + r23439;
        double r23441 = r23430 + r23428;
        double r23442 = r23441 * r23430;
        double r23443 = r23440 + r23442;
        double r23444 = r23443 / r23436;
        double r23445 = r23437 * r23444;
        double r23446 = 4;
        double r23447 = r23446 * r23430;
        double r23448 = r23447 * r23431;
        double r23449 = r23447 * r23428;
        double r23450 = 1.0;
        double r23451 = r23449 - r23450;
        double r23452 = r23448 + r23451;
        double r23453 = r23430 / r23452;
        double r23454 = r23445 * r23453;
        double r23455 = +inf.0;
        bool r23456 = r23454 <= r23455;
        double r23457 = r23433 + r23430;
        double r23458 = r23430 * r23457;
        double r23459 = r23434 * r23430;
        double r23460 = r23433 + r23459;
        double r23461 = r23460 * r23460;
        double r23462 = r23438 + r23458;
        double r23463 = r23461 / r23462;
        double r23464 = sqrt(r23463);
        double r23465 = r23464 * r23464;
        double r23466 = r23458 / r23465;
        double r23467 = r23461 - r23450;
        double r23468 = r23466 / r23467;
        double r23469 = 0;
        double r23470 = r23456 ? r23468 : r23469;
        return r23470;
}

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 r23471, r23472, r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480, r23481, r23482, r23483, r23484, r23485, r23486, r23487;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23471);
        mpfr_init(r23472);
        mpfr_init(r23473);
        mpfr_init(r23474);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
        mpfr_init(r23478);
        mpfr_init(r23479);
        mpfr_init_set_str(r23480, "2", 10, MPFR_RNDN);
        mpfr_init(r23481);
        mpfr_init(r23482);
        mpfr_init(r23483);
        mpfr_init(r23484);
        mpfr_init_set_str(r23485, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23486);
        mpfr_init(r23487);
}

double f_im(double alpha, double beta, double i) {
        mpfr_set_d(r23471, i, MPFR_RNDN);
        mpfr_set_d(r23472, alpha, MPFR_RNDN);
        mpfr_set_d(r23473, beta, MPFR_RNDN);
        mpfr_add(r23474, r23472, r23473, MPFR_RNDN);
        mpfr_add(r23475, r23474, r23471, MPFR_RNDN);
        mpfr_mul(r23476, r23471, r23475, MPFR_RNDN);
        mpfr_mul(r23477, r23473, r23472, MPFR_RNDN);
        mpfr_add(r23478, r23477, r23476, MPFR_RNDN);
        mpfr_mul(r23479, r23476, r23478, MPFR_RNDN);
        ;
        mpfr_mul(r23481, r23480, r23471, MPFR_RNDN);
        mpfr_add(r23482, r23474, r23481, MPFR_RNDN);
        mpfr_mul(r23483, r23482, r23482, MPFR_RNDN);
        mpfr_div(r23484, r23479, r23483, MPFR_RNDN);
        ;
        mpfr_sub(r23486, r23483, r23485, MPFR_RNDN);
        mpfr_div(r23487, r23484, r23486, MPFR_RNDN);
        return mpfr_get_d(r23487, MPFR_RNDN);
}

static mpfr_t r23488, r23489, r23490, r23491, r23492, r23493, r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503, r23504, r23505, r23506, r23507, r23508, r23509, r23510, r23511, r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520, r23521, r23522, r23523, r23524, r23525, r23526, r23527, r23528, r23529, r23530;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23488);
        mpfr_init(r23489);
        mpfr_init(r23490);
        mpfr_init(r23491);
        mpfr_init(r23492);
        mpfr_init(r23493);
        mpfr_init_set_str(r23494, "2", 10, MPFR_RNDN);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init(r23499);
        mpfr_init(r23500);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init_set_str(r23506, "4", 10, MPFR_RNDN);
        mpfr_init(r23507);
        mpfr_init(r23508);
        mpfr_init(r23509);
        mpfr_init_set_str(r23510, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23511);
        mpfr_init(r23512);
        mpfr_init(r23513);
        mpfr_init(r23514);
        mpfr_init_set_str(r23515, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23516);
        mpfr_init(r23517);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init(r23520);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
        mpfr_init(r23526);
        mpfr_init(r23527);
        mpfr_init(r23528);
        mpfr_init_set_str(r23529, "0", 10, MPFR_RNDN);
        mpfr_init(r23530);
}

double f_fm(double alpha, double beta, double i) {
        mpfr_set_d(r23488, beta, MPFR_RNDN);
        mpfr_set_d(r23489, alpha, MPFR_RNDN);
        mpfr_set_d(r23490, i, MPFR_RNDN);
        mpfr_add(r23491, r23489, r23490, MPFR_RNDN);
        mpfr_add(r23492, r23488, r23491, MPFR_RNDN);
        mpfr_add(r23493, r23489, r23488, MPFR_RNDN);
        ;
        mpfr_mul(r23495, r23490, r23494, MPFR_RNDN);
        mpfr_add(r23496, r23493, r23495, MPFR_RNDN);
        mpfr_div(r23497, r23492, r23496, MPFR_RNDN);
        mpfr_mul(r23498, r23488, r23489, MPFR_RNDN);
        mpfr_mul(r23499, r23489, r23490, MPFR_RNDN);
        mpfr_add(r23500, r23498, r23499, MPFR_RNDN);
        mpfr_add(r23501, r23490, r23488, MPFR_RNDN);
        mpfr_mul(r23502, r23501, r23490, MPFR_RNDN);
        mpfr_add(r23503, r23500, r23502, MPFR_RNDN);
        mpfr_div(r23504, r23503, r23496, MPFR_RNDN);
        mpfr_mul(r23505, r23497, r23504, MPFR_RNDN);
        ;
        mpfr_mul(r23507, r23506, r23490, MPFR_RNDN);
        mpfr_mul(r23508, r23507, r23491, MPFR_RNDN);
        mpfr_mul(r23509, r23507, r23488, MPFR_RNDN);
        ;
        mpfr_sub(r23511, r23509, r23510, MPFR_RNDN);
        mpfr_add(r23512, r23508, r23511, MPFR_RNDN);
        mpfr_div(r23513, r23490, r23512, MPFR_RNDN);
        mpfr_mul(r23514, r23505, r23513, MPFR_RNDN);
        ;
        mpfr_set_si(r23516, mpfr_cmp(r23514, r23515) <= 0, MPFR_RNDN);
        mpfr_add(r23517, r23493, r23490, MPFR_RNDN);
        mpfr_mul(r23518, r23490, r23517, MPFR_RNDN);
        mpfr_mul(r23519, r23494, r23490, MPFR_RNDN);
        mpfr_add(r23520, r23493, r23519, MPFR_RNDN);
        mpfr_mul(r23521, r23520, r23520, MPFR_RNDN);
        mpfr_add(r23522, r23498, r23518, MPFR_RNDN);
        mpfr_div(r23523, r23521, r23522, MPFR_RNDN);
        mpfr_sqrt(r23524, r23523, MPFR_RNDN);
        mpfr_mul(r23525, r23524, r23524, MPFR_RNDN);
        mpfr_div(r23526, r23518, r23525, MPFR_RNDN);
        mpfr_sub(r23527, r23521, r23510, MPFR_RNDN);
        mpfr_div(r23528, r23526, r23527, MPFR_RNDN);
        ;
        if (mpfr_get_si(r23516, MPFR_RNDN)) { mpfr_set(r23530, r23528, MPFR_RNDN); } else { mpfr_set(r23530, r23529, MPFR_RNDN); };
        return mpfr_get_d(r23530, MPFR_RNDN);
}

static mpfr_t r23531, r23532, r23533, r23534, r23535, r23536, r23537, r23538, r23539, r23540, r23541, r23542, r23543, r23544, r23545, r23546, r23547, r23548, r23549, r23550, r23551, r23552, r23553, r23554, r23555, r23556, r23557, r23558, r23559, r23560, r23561, r23562, r23563, r23564, r23565, r23566, r23567, r23568, r23569, r23570, r23571, r23572, r23573;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23531);
        mpfr_init(r23532);
        mpfr_init(r23533);
        mpfr_init(r23534);
        mpfr_init(r23535);
        mpfr_init(r23536);
        mpfr_init_set_str(r23537, "2", 10, MPFR_RNDN);
        mpfr_init(r23538);
        mpfr_init(r23539);
        mpfr_init(r23540);
        mpfr_init(r23541);
        mpfr_init(r23542);
        mpfr_init(r23543);
        mpfr_init(r23544);
        mpfr_init(r23545);
        mpfr_init(r23546);
        mpfr_init(r23547);
        mpfr_init(r23548);
        mpfr_init_set_str(r23549, "4", 10, MPFR_RNDN);
        mpfr_init(r23550);
        mpfr_init(r23551);
        mpfr_init(r23552);
        mpfr_init_set_str(r23553, "1.0", 10, MPFR_RNDN);
        mpfr_init(r23554);
        mpfr_init(r23555);
        mpfr_init(r23556);
        mpfr_init(r23557);
        mpfr_init_set_str(r23558, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r23559);
        mpfr_init(r23560);
        mpfr_init(r23561);
        mpfr_init(r23562);
        mpfr_init(r23563);
        mpfr_init(r23564);
        mpfr_init(r23565);
        mpfr_init(r23566);
        mpfr_init(r23567);
        mpfr_init(r23568);
        mpfr_init(r23569);
        mpfr_init(r23570);
        mpfr_init(r23571);
        mpfr_init_set_str(r23572, "0", 10, MPFR_RNDN);
        mpfr_init(r23573);
}

double f_dm(double alpha, double beta, double i) {
        mpfr_set_d(r23531, beta, MPFR_RNDN);
        mpfr_set_d(r23532, alpha, MPFR_RNDN);
        mpfr_set_d(r23533, i, MPFR_RNDN);
        mpfr_add(r23534, r23532, r23533, MPFR_RNDN);
        mpfr_add(r23535, r23531, r23534, MPFR_RNDN);
        mpfr_add(r23536, r23532, r23531, MPFR_RNDN);
        ;
        mpfr_mul(r23538, r23533, r23537, MPFR_RNDN);
        mpfr_add(r23539, r23536, r23538, MPFR_RNDN);
        mpfr_div(r23540, r23535, r23539, MPFR_RNDN);
        mpfr_mul(r23541, r23531, r23532, MPFR_RNDN);
        mpfr_mul(r23542, r23532, r23533, MPFR_RNDN);
        mpfr_add(r23543, r23541, r23542, MPFR_RNDN);
        mpfr_add(r23544, r23533, r23531, MPFR_RNDN);
        mpfr_mul(r23545, r23544, r23533, MPFR_RNDN);
        mpfr_add(r23546, r23543, r23545, MPFR_RNDN);
        mpfr_div(r23547, r23546, r23539, MPFR_RNDN);
        mpfr_mul(r23548, r23540, r23547, MPFR_RNDN);
        ;
        mpfr_mul(r23550, r23549, r23533, MPFR_RNDN);
        mpfr_mul(r23551, r23550, r23534, MPFR_RNDN);
        mpfr_mul(r23552, r23550, r23531, MPFR_RNDN);
        ;
        mpfr_sub(r23554, r23552, r23553, MPFR_RNDN);
        mpfr_add(r23555, r23551, r23554, MPFR_RNDN);
        mpfr_div(r23556, r23533, r23555, MPFR_RNDN);
        mpfr_mul(r23557, r23548, r23556, MPFR_RNDN);
        ;
        mpfr_set_si(r23559, mpfr_cmp(r23557, r23558) <= 0, MPFR_RNDN);
        mpfr_add(r23560, r23536, r23533, MPFR_RNDN);
        mpfr_mul(r23561, r23533, r23560, MPFR_RNDN);
        mpfr_mul(r23562, r23537, r23533, MPFR_RNDN);
        mpfr_add(r23563, r23536, r23562, MPFR_RNDN);
        mpfr_mul(r23564, r23563, r23563, MPFR_RNDN);
        mpfr_add(r23565, r23541, r23561, MPFR_RNDN);
        mpfr_div(r23566, r23564, r23565, MPFR_RNDN);
        mpfr_sqrt(r23567, r23566, MPFR_RNDN);
        mpfr_mul(r23568, r23567, r23567, MPFR_RNDN);
        mpfr_div(r23569, r23561, r23568, MPFR_RNDN);
        mpfr_sub(r23570, r23564, r23553, MPFR_RNDN);
        mpfr_div(r23571, r23569, r23570, MPFR_RNDN);
        ;
        if (mpfr_get_si(r23559, MPFR_RNDN)) { mpfr_set(r23573, r23571, MPFR_RNDN); } else { mpfr_set(r23573, r23572, MPFR_RNDN); };
        return mpfr_get_d(r23573, MPFR_RNDN);
}