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

char *name = "Bouland and Aaronson, Equation (24)";

double f_if(float a, float b) {
        float r25414 = a;
        float r25415 = r25414 * r25414;
        float r25416 = b;
        float r25417 = r25416 * r25416;
        float r25418 = r25415 + r25417;
        float r25419 = 2;
        float r25420 = pow(r25418, r25419);
        float r25421 = 4;
        float r25422 = 1;
        float r25423 = r25422 - r25414;
        float r25424 = r25415 * r25423;
        float r25425 = 3;
        float r25426 = r25425 + r25414;
        float r25427 = r25417 * r25426;
        float r25428 = r25424 + r25427;
        float r25429 = r25421 * r25428;
        float r25430 = r25420 + r25429;
        float r25431 = r25430 - r25422;
        return r25431;
}

double f_id(double a, double b) {
        double r25432 = a;
        double r25433 = r25432 * r25432;
        double r25434 = b;
        double r25435 = r25434 * r25434;
        double r25436 = r25433 + r25435;
        double r25437 = 2;
        double r25438 = pow(r25436, r25437);
        double r25439 = 4;
        double r25440 = 1;
        double r25441 = r25440 - r25432;
        double r25442 = r25433 * r25441;
        double r25443 = 3;
        double r25444 = r25443 + r25432;
        double r25445 = r25435 * r25444;
        double r25446 = r25442 + r25445;
        double r25447 = r25439 * r25446;
        double r25448 = r25438 + r25447;
        double r25449 = r25448 - r25440;
        return r25449;
}


double f_of(float a, float b) {
        float r25450 = a;
        float r25451 = r25450 * r25450;
        float r25452 = b;
        float r25453 = r25452 * r25452;
        float r25454 = r25451 + r25453;
        float r25455 = 2;
        float r25456 = pow(r25454, r25455);
        float r25457 = 4;
        float r25458 = 1;
        float r25459 = r25458 - r25450;
        float r25460 = r25451 * r25459;
        float r25461 = 3;
        float r25462 = r25461 + r25450;
        float r25463 = r25453 * r25462;
        float r25464 = r25460 + r25463;
        float r25465 = r25457 * r25464;
        float r25466 = r25456 + r25465;
        float r25467 = sqrt(r25466);
        float r25468 = sqrt(r25467);
        float r25469 = r25468 * r25468;
        float r25470 = r25467 * r25469;
        float r25471 = r25470 - r25458;
        return r25471;
}

double f_od(double a, double b) {
        double r25472 = a;
        double r25473 = r25472 * r25472;
        double r25474 = b;
        double r25475 = r25474 * r25474;
        double r25476 = r25473 + r25475;
        double r25477 = 2;
        double r25478 = pow(r25476, r25477);
        double r25479 = 4;
        double r25480 = 1;
        double r25481 = r25480 - r25472;
        double r25482 = r25473 * r25481;
        double r25483 = 3;
        double r25484 = r25483 + r25472;
        double r25485 = r25475 * r25484;
        double r25486 = r25482 + r25485;
        double r25487 = r25479 * r25486;
        double r25488 = r25478 + r25487;
        double r25489 = sqrt(r25488);
        double r25490 = sqrt(r25489);
        double r25491 = r25490 * r25490;
        double r25492 = r25489 * r25491;
        double r25493 = r25492 - r25480;
        return r25493;
}

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 r25494, r25495, r25496, r25497, r25498, r25499, r25500, r25501, r25502, r25503, r25504, r25505, r25506, r25507, r25508, r25509, r25510, r25511;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r25494);
        mpfr_init(r25495);
        mpfr_init(r25496);
        mpfr_init(r25497);
        mpfr_init(r25498);
        mpfr_init_set_str(r25499, "2", 10, MPFR_RNDN);
        mpfr_init(r25500);
        mpfr_init_set_str(r25501, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25502, "1", 10, MPFR_RNDN);
        mpfr_init(r25503);
        mpfr_init(r25504);
        mpfr_init_set_str(r25505, "3", 10, MPFR_RNDN);
        mpfr_init(r25506);
        mpfr_init(r25507);
        mpfr_init(r25508);
        mpfr_init(r25509);
        mpfr_init(r25510);
        mpfr_init(r25511);
}

double f_im(double a, double b) {
        mpfr_set_d(r25494, a, MPFR_RNDN);
        mpfr_mul(r25495, r25494, r25494, MPFR_RNDN);
        mpfr_set_d(r25496, b, MPFR_RNDN);
        mpfr_mul(r25497, r25496, r25496, MPFR_RNDN);
        mpfr_add(r25498, r25495, r25497, MPFR_RNDN);
        ;
        mpfr_pow(r25500, r25498, r25499, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25503, r25502, r25494, MPFR_RNDN);
        mpfr_mul(r25504, r25495, r25503, MPFR_RNDN);
        ;
        mpfr_add(r25506, r25505, r25494, MPFR_RNDN);
        mpfr_mul(r25507, r25497, r25506, MPFR_RNDN);
        mpfr_add(r25508, r25504, r25507, MPFR_RNDN);
        mpfr_mul(r25509, r25501, r25508, MPFR_RNDN);
        mpfr_add(r25510, r25500, r25509, MPFR_RNDN);
        mpfr_sub(r25511, r25510, r25502, MPFR_RNDN);
        return mpfr_get_d(r25511, MPFR_RNDN);
}

static mpfr_t r25512, r25513, r25514, r25515, r25516, r25517, r25518, r25519, r25520, r25521, r25522, r25523, r25524, r25525, r25526, r25527, r25528, r25529, r25530, r25531, r25532, r25533;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25512);
        mpfr_init(r25513);
        mpfr_init(r25514);
        mpfr_init(r25515);
        mpfr_init(r25516);
        mpfr_init_set_str(r25517, "2", 10, MPFR_RNDN);
        mpfr_init(r25518);
        mpfr_init_set_str(r25519, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25520, "1", 10, MPFR_RNDN);
        mpfr_init(r25521);
        mpfr_init(r25522);
        mpfr_init_set_str(r25523, "3", 10, MPFR_RNDN);
        mpfr_init(r25524);
        mpfr_init(r25525);
        mpfr_init(r25526);
        mpfr_init(r25527);
        mpfr_init(r25528);
        mpfr_init(r25529);
        mpfr_init(r25530);
        mpfr_init(r25531);
        mpfr_init(r25532);
        mpfr_init(r25533);
}

double f_fm(double a, double b) {
        mpfr_set_d(r25512, a, MPFR_RNDN);
        mpfr_mul(r25513, r25512, r25512, MPFR_RNDN);
        mpfr_set_d(r25514, b, MPFR_RNDN);
        mpfr_mul(r25515, r25514, r25514, MPFR_RNDN);
        mpfr_add(r25516, r25513, r25515, MPFR_RNDN);
        ;
        mpfr_pow(r25518, r25516, r25517, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25521, r25520, r25512, MPFR_RNDN);
        mpfr_mul(r25522, r25513, r25521, MPFR_RNDN);
        ;
        mpfr_add(r25524, r25523, r25512, MPFR_RNDN);
        mpfr_mul(r25525, r25515, r25524, MPFR_RNDN);
        mpfr_add(r25526, r25522, r25525, MPFR_RNDN);
        mpfr_mul(r25527, r25519, r25526, MPFR_RNDN);
        mpfr_add(r25528, r25518, r25527, MPFR_RNDN);
        mpfr_sqrt(r25529, r25528, MPFR_RNDN);
        mpfr_sqrt(r25530, r25529, MPFR_RNDN);
        mpfr_mul(r25531, r25530, r25530, MPFR_RNDN);
        mpfr_mul(r25532, r25529, r25531, MPFR_RNDN);
        mpfr_sub(r25533, r25532, r25520, MPFR_RNDN);
        return mpfr_get_d(r25533, MPFR_RNDN);
}

static mpfr_t r25534, r25535, r25536, r25537, r25538, r25539, r25540, r25541, r25542, r25543, r25544, r25545, r25546, r25547, r25548, r25549, r25550, r25551, r25552, r25553, r25554, r25555;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25534);
        mpfr_init(r25535);
        mpfr_init(r25536);
        mpfr_init(r25537);
        mpfr_init(r25538);
        mpfr_init_set_str(r25539, "2", 10, MPFR_RNDN);
        mpfr_init(r25540);
        mpfr_init_set_str(r25541, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25542, "1", 10, MPFR_RNDN);
        mpfr_init(r25543);
        mpfr_init(r25544);
        mpfr_init_set_str(r25545, "3", 10, MPFR_RNDN);
        mpfr_init(r25546);
        mpfr_init(r25547);
        mpfr_init(r25548);
        mpfr_init(r25549);
        mpfr_init(r25550);
        mpfr_init(r25551);
        mpfr_init(r25552);
        mpfr_init(r25553);
        mpfr_init(r25554);
        mpfr_init(r25555);
}

double f_dm(double a, double b) {
        mpfr_set_d(r25534, a, MPFR_RNDN);
        mpfr_mul(r25535, r25534, r25534, MPFR_RNDN);
        mpfr_set_d(r25536, b, MPFR_RNDN);
        mpfr_mul(r25537, r25536, r25536, MPFR_RNDN);
        mpfr_add(r25538, r25535, r25537, MPFR_RNDN);
        ;
        mpfr_pow(r25540, r25538, r25539, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25543, r25542, r25534, MPFR_RNDN);
        mpfr_mul(r25544, r25535, r25543, MPFR_RNDN);
        ;
        mpfr_add(r25546, r25545, r25534, MPFR_RNDN);
        mpfr_mul(r25547, r25537, r25546, MPFR_RNDN);
        mpfr_add(r25548, r25544, r25547, MPFR_RNDN);
        mpfr_mul(r25549, r25541, r25548, MPFR_RNDN);
        mpfr_add(r25550, r25540, r25549, MPFR_RNDN);
        mpfr_sqrt(r25551, r25550, MPFR_RNDN);
        mpfr_sqrt(r25552, r25551, MPFR_RNDN);
        mpfr_mul(r25553, r25552, r25552, MPFR_RNDN);
        mpfr_mul(r25554, r25551, r25553, MPFR_RNDN);
        mpfr_sub(r25555, r25554, r25542, MPFR_RNDN);
        return mpfr_get_d(r25555, MPFR_RNDN);
}