#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 r23390 = 1;
        float r23391 = 5;
        float r23392 = v;
        float r23393 = r23392 * r23392;
        float r23394 = r23391 * r23393;
        float r23395 = r23390 - r23394;
        float r23396 = atan2(1.0, 0.0);
        float r23397 = t;
        float r23398 = r23396 * r23397;
        float r23399 = 2;
        float r23400 = 3;
        float r23401 = r23400 * r23393;
        float r23402 = r23390 - r23401;
        float r23403 = r23399 * r23402;
        float r23404 = sqrt(r23403);
        float r23405 = r23398 * r23404;
        float r23406 = r23390 - r23393;
        float r23407 = r23405 * r23406;
        float r23408 = r23395 / r23407;
        return r23408;
}

double f_id(double v, double t) {
        double r23409 = 1;
        double r23410 = 5;
        double r23411 = v;
        double r23412 = r23411 * r23411;
        double r23413 = r23410 * r23412;
        double r23414 = r23409 - r23413;
        double r23415 = atan2(1.0, 0.0);
        double r23416 = t;
        double r23417 = r23415 * r23416;
        double r23418 = 2;
        double r23419 = 3;
        double r23420 = r23419 * r23412;
        double r23421 = r23409 - r23420;
        double r23422 = r23418 * r23421;
        double r23423 = sqrt(r23422);
        double r23424 = r23417 * r23423;
        double r23425 = r23409 - r23412;
        double r23426 = r23424 * r23425;
        double r23427 = r23414 / r23426;
        return r23427;
}


double f_of(float v, float t) {
        float r23428 = 1;
        float r23429 = atan2(1.0, 0.0);
        float r23430 = r23428 / r23429;
        float r23431 = t;
        float r23432 = r23430 / r23431;
        float r23433 = v;
        float r23434 = r23433 * r23433;
        float r23435 = r23428 - r23434;
        float r23436 = r23432 / r23435;
        float r23437 = 2;
        float r23438 = 3;
        float r23439 = r23433 * r23438;
        float r23440 = r23433 + r23433;
        float r23441 = r23439 * r23440;
        float r23442 = r23437 - r23441;
        float r23443 = sqrt(r23442);
        float r23444 = r23436 / r23443;
        float r23445 = 5;
        float r23446 = r23445 * r23434;
        float r23447 = r23438 * r23434;
        float r23448 = r23428 - r23447;
        float r23449 = r23437 * r23448;
        float r23450 = sqrt(r23449);
        float r23451 = cbrt(r23450);
        float r23452 = r23451 * r23451;
        float r23453 = r23431 * r23452;
        float r23454 = r23453 * r23451;
        float r23455 = r23429 * r23454;
        float r23456 = r23455 * r23435;
        float r23457 = r23446 / r23456;
        float r23458 = r23444 - r23457;
        return r23458;
}

double f_od(double v, double t) {
        double r23459 = 1;
        double r23460 = atan2(1.0, 0.0);
        double r23461 = r23459 / r23460;
        double r23462 = t;
        double r23463 = r23461 / r23462;
        double r23464 = v;
        double r23465 = r23464 * r23464;
        double r23466 = r23459 - r23465;
        double r23467 = r23463 / r23466;
        double r23468 = 2;
        double r23469 = 3;
        double r23470 = r23464 * r23469;
        double r23471 = r23464 + r23464;
        double r23472 = r23470 * r23471;
        double r23473 = r23468 - r23472;
        double r23474 = sqrt(r23473);
        double r23475 = r23467 / r23474;
        double r23476 = 5;
        double r23477 = r23476 * r23465;
        double r23478 = r23469 * r23465;
        double r23479 = r23459 - r23478;
        double r23480 = r23468 * r23479;
        double r23481 = sqrt(r23480);
        double r23482 = cbrt(r23481);
        double r23483 = r23482 * r23482;
        double r23484 = r23462 * r23483;
        double r23485 = r23484 * r23482;
        double r23486 = r23460 * r23485;
        double r23487 = r23486 * r23466;
        double r23488 = r23477 / r23487;
        double r23489 = r23475 - r23488;
        return r23489;
}

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 r23490, r23491, r23492, r23493, r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503, r23504, r23505, r23506, r23507, r23508;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23490, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23491, "5", 10, MPFR_RNDN);
        mpfr_init(r23492);
        mpfr_init(r23493);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init_set_str(r23499, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23500, "3", 10, MPFR_RNDN);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init(r23506);
        mpfr_init(r23507);
        mpfr_init(r23508);
}

double f_im(double v, double t) {
        ;
        ;
        mpfr_set_d(r23492, v, MPFR_RNDN);
        mpfr_mul(r23493, r23492, r23492, MPFR_RNDN);
        mpfr_mul(r23494, r23491, r23493, MPFR_RNDN);
        mpfr_sub(r23495, r23490, r23494, MPFR_RNDN);
        mpfr_const_pi(r23496, MPFR_RNDN);
        mpfr_set_d(r23497, t, MPFR_RNDN);
        mpfr_mul(r23498, r23496, r23497, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r23501, r23500, r23493, MPFR_RNDN);
        mpfr_sub(r23502, r23490, r23501, MPFR_RNDN);
        mpfr_mul(r23503, r23499, r23502, MPFR_RNDN);
        mpfr_sqrt(r23504, r23503, MPFR_RNDN);
        mpfr_mul(r23505, r23498, r23504, MPFR_RNDN);
        mpfr_sub(r23506, r23490, r23493, MPFR_RNDN);
        mpfr_mul(r23507, r23505, r23506, MPFR_RNDN);
        mpfr_div(r23508, r23495, r23507, MPFR_RNDN);
        return mpfr_get_d(r23508, MPFR_RNDN);
}

static mpfr_t r23509, r23510, r23511, r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520, r23521, r23522, r23523, r23524, r23525, r23526, r23527, r23528, r23529, r23530, r23531, r23532, r23533, r23534, r23535, r23536, r23537, r23538, r23539;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23509, "1", 10, MPFR_RNDN);
        mpfr_init(r23510);
        mpfr_init(r23511);
        mpfr_init(r23512);
        mpfr_init(r23513);
        mpfr_init(r23514);
        mpfr_init(r23515);
        mpfr_init(r23516);
        mpfr_init(r23517);
        mpfr_init_set_str(r23518, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23519, "3", 10, MPFR_RNDN);
        mpfr_init(r23520);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
        mpfr_init_set_str(r23526, "5", 10, MPFR_RNDN);
        mpfr_init(r23527);
        mpfr_init(r23528);
        mpfr_init(r23529);
        mpfr_init(r23530);
        mpfr_init(r23531);
        mpfr_init(r23532);
        mpfr_init(r23533);
        mpfr_init(r23534);
        mpfr_init(r23535);
        mpfr_init(r23536);
        mpfr_init(r23537);
        mpfr_init(r23538);
        mpfr_init(r23539);
}

double f_fm(double v, double t) {
        ;
        mpfr_const_pi(r23510, MPFR_RNDN);
        mpfr_div(r23511, r23509, r23510, MPFR_RNDN);
        mpfr_set_d(r23512, t, MPFR_RNDN);
        mpfr_div(r23513, r23511, r23512, MPFR_RNDN);
        mpfr_set_d(r23514, v, MPFR_RNDN);
        mpfr_mul(r23515, r23514, r23514, MPFR_RNDN);
        mpfr_sub(r23516, r23509, r23515, MPFR_RNDN);
        mpfr_div(r23517, r23513, r23516, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r23520, r23514, r23519, MPFR_RNDN);
        mpfr_add(r23521, r23514, r23514, MPFR_RNDN);
        mpfr_mul(r23522, r23520, r23521, MPFR_RNDN);
        mpfr_sub(r23523, r23518, r23522, MPFR_RNDN);
        mpfr_sqrt(r23524, r23523, MPFR_RNDN);
        mpfr_div(r23525, r23517, r23524, MPFR_RNDN);
        ;
        mpfr_mul(r23527, r23526, r23515, MPFR_RNDN);
        mpfr_mul(r23528, r23519, r23515, MPFR_RNDN);
        mpfr_sub(r23529, r23509, r23528, MPFR_RNDN);
        mpfr_mul(r23530, r23518, r23529, MPFR_RNDN);
        mpfr_sqrt(r23531, r23530, MPFR_RNDN);
        mpfr_cbrt(r23532, r23531, MPFR_RNDN);
        mpfr_mul(r23533, r23532, r23532, MPFR_RNDN);
        mpfr_mul(r23534, r23512, r23533, MPFR_RNDN);
        mpfr_mul(r23535, r23534, r23532, MPFR_RNDN);
        mpfr_mul(r23536, r23510, r23535, MPFR_RNDN);
        mpfr_mul(r23537, r23536, r23516, MPFR_RNDN);
        mpfr_div(r23538, r23527, r23537, MPFR_RNDN);
        mpfr_sub(r23539, r23525, r23538, MPFR_RNDN);
        return mpfr_get_d(r23539, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r23540, "1", 10, MPFR_RNDN);
        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, "2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23550, "3", 10, MPFR_RNDN);
        mpfr_init(r23551);
        mpfr_init(r23552);
        mpfr_init(r23553);
        mpfr_init(r23554);
        mpfr_init(r23555);
        mpfr_init(r23556);
        mpfr_init_set_str(r23557, "5", 10, MPFR_RNDN);
        mpfr_init(r23558);
        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);
}

double f_dm(double v, double t) {
        ;
        mpfr_const_pi(r23541, MPFR_RNDN);
        mpfr_div(r23542, r23540, r23541, MPFR_RNDN);
        mpfr_set_d(r23543, t, MPFR_RNDN);
        mpfr_div(r23544, r23542, r23543, MPFR_RNDN);
        mpfr_set_d(r23545, v, MPFR_RNDN);
        mpfr_mul(r23546, r23545, r23545, MPFR_RNDN);
        mpfr_sub(r23547, r23540, r23546, MPFR_RNDN);
        mpfr_div(r23548, r23544, r23547, MPFR_RNDN);
        ;
        ;
        mpfr_mul(r23551, r23545, r23550, MPFR_RNDN);
        mpfr_add(r23552, r23545, r23545, MPFR_RNDN);
        mpfr_mul(r23553, r23551, r23552, MPFR_RNDN);
        mpfr_sub(r23554, r23549, r23553, MPFR_RNDN);
        mpfr_sqrt(r23555, r23554, MPFR_RNDN);
        mpfr_div(r23556, r23548, r23555, MPFR_RNDN);
        ;
        mpfr_mul(r23558, r23557, r23546, MPFR_RNDN);
        mpfr_mul(r23559, r23550, r23546, MPFR_RNDN);
        mpfr_sub(r23560, r23540, r23559, MPFR_RNDN);
        mpfr_mul(r23561, r23549, r23560, MPFR_RNDN);
        mpfr_sqrt(r23562, r23561, MPFR_RNDN);
        mpfr_cbrt(r23563, r23562, MPFR_RNDN);
        mpfr_mul(r23564, r23563, r23563, MPFR_RNDN);
        mpfr_mul(r23565, r23543, r23564, MPFR_RNDN);
        mpfr_mul(r23566, r23565, r23563, MPFR_RNDN);
        mpfr_mul(r23567, r23541, r23566, MPFR_RNDN);
        mpfr_mul(r23568, r23567, r23547, MPFR_RNDN);
        mpfr_div(r23569, r23558, r23568, MPFR_RNDN);
        mpfr_sub(r23570, r23556, r23569, MPFR_RNDN);
        return mpfr_get_d(r23570, MPFR_RNDN);
}