#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 r25423 = a;
        float r25424 = r25423 * r25423;
        float r25425 = b;
        float r25426 = r25425 * r25425;
        float r25427 = r25424 + r25426;
        float r25428 = 2;
        float r25429 = pow(r25427, r25428);
        float r25430 = 4;
        float r25431 = 1;
        float r25432 = r25431 - r25423;
        float r25433 = r25424 * r25432;
        float r25434 = 3;
        float r25435 = r25434 + r25423;
        float r25436 = r25426 * r25435;
        float r25437 = r25433 + r25436;
        float r25438 = r25430 * r25437;
        float r25439 = r25429 + r25438;
        float r25440 = r25439 - r25431;
        return r25440;
}

double f_id(double a, double b) {
        double r25441 = a;
        double r25442 = r25441 * r25441;
        double r25443 = b;
        double r25444 = r25443 * r25443;
        double r25445 = r25442 + r25444;
        double r25446 = 2;
        double r25447 = pow(r25445, r25446);
        double r25448 = 4;
        double r25449 = 1;
        double r25450 = r25449 - r25441;
        double r25451 = r25442 * r25450;
        double r25452 = 3;
        double r25453 = r25452 + r25441;
        double r25454 = r25444 * r25453;
        double r25455 = r25451 + r25454;
        double r25456 = r25448 * r25455;
        double r25457 = r25447 + r25456;
        double r25458 = r25457 - r25449;
        return r25458;
}


double f_of(float a, float b) {
        float r25459 = a;
        float r25460 = r25459 * r25459;
        float r25461 = b;
        float r25462 = r25461 * r25461;
        float r25463 = r25460 + r25462;
        float r25464 = 2;
        float r25465 = pow(r25463, r25464);
        float r25466 = 4;
        float r25467 = 1;
        float r25468 = r25467 - r25459;
        float r25469 = r25460 * r25468;
        float r25470 = 3;
        float r25471 = r25470 + r25459;
        float r25472 = r25462 * r25471;
        float r25473 = r25469 + r25472;
        float r25474 = r25466 * r25473;
        float r25475 = r25465 + r25474;
        float r25476 = sqrt(r25475);
        float r25477 = r25476 * r25476;
        float r25478 = r25477 - r25467;
        return r25478;
}

double f_od(double a, double b) {
        double r25479 = a;
        double r25480 = r25479 * r25479;
        double r25481 = b;
        double r25482 = r25481 * r25481;
        double r25483 = r25480 + r25482;
        double r25484 = 2;
        double r25485 = pow(r25483, r25484);
        double r25486 = 4;
        double r25487 = 1;
        double r25488 = r25487 - r25479;
        double r25489 = r25480 * r25488;
        double r25490 = 3;
        double r25491 = r25490 + r25479;
        double r25492 = r25482 * r25491;
        double r25493 = r25489 + r25492;
        double r25494 = r25486 * r25493;
        double r25495 = r25485 + r25494;
        double r25496 = sqrt(r25495);
        double r25497 = r25496 * r25496;
        double r25498 = r25497 - r25487;
        return r25498;
}

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 r25499, r25500, r25501, r25502, r25503, r25504, r25505, r25506, r25507, r25508, r25509, r25510, r25511, r25512, r25513, r25514, r25515, r25516;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r25499);
        mpfr_init(r25500);
        mpfr_init(r25501);
        mpfr_init(r25502);
        mpfr_init(r25503);
        mpfr_init_set_str(r25504, "2", 10, MPFR_RNDN);
        mpfr_init(r25505);
        mpfr_init_set_str(r25506, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25507, "1", 10, MPFR_RNDN);
        mpfr_init(r25508);
        mpfr_init(r25509);
        mpfr_init_set_str(r25510, "3", 10, MPFR_RNDN);
        mpfr_init(r25511);
        mpfr_init(r25512);
        mpfr_init(r25513);
        mpfr_init(r25514);
        mpfr_init(r25515);
        mpfr_init(r25516);
}

double f_im(double a, double b) {
        mpfr_set_d(r25499, a, MPFR_RNDN);
        mpfr_mul(r25500, r25499, r25499, MPFR_RNDN);
        mpfr_set_d(r25501, b, MPFR_RNDN);
        mpfr_mul(r25502, r25501, r25501, MPFR_RNDN);
        mpfr_add(r25503, r25500, r25502, MPFR_RNDN);
        ;
        mpfr_pow(r25505, r25503, r25504, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25508, r25507, r25499, MPFR_RNDN);
        mpfr_mul(r25509, r25500, r25508, MPFR_RNDN);
        ;
        mpfr_add(r25511, r25510, r25499, MPFR_RNDN);
        mpfr_mul(r25512, r25502, r25511, MPFR_RNDN);
        mpfr_add(r25513, r25509, r25512, MPFR_RNDN);
        mpfr_mul(r25514, r25506, r25513, MPFR_RNDN);
        mpfr_add(r25515, r25505, r25514, MPFR_RNDN);
        mpfr_sub(r25516, r25515, r25507, MPFR_RNDN);
        return mpfr_get_d(r25516, MPFR_RNDN);
}

static mpfr_t r25517, r25518, r25519, r25520, r25521, r25522, r25523, r25524, r25525, r25526, r25527, r25528, r25529, r25530, r25531, r25532, r25533, r25534, r25535, r25536;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25517);
        mpfr_init(r25518);
        mpfr_init(r25519);
        mpfr_init(r25520);
        mpfr_init(r25521);
        mpfr_init_set_str(r25522, "2", 10, MPFR_RNDN);
        mpfr_init(r25523);
        mpfr_init_set_str(r25524, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25525, "1", 10, MPFR_RNDN);
        mpfr_init(r25526);
        mpfr_init(r25527);
        mpfr_init_set_str(r25528, "3", 10, MPFR_RNDN);
        mpfr_init(r25529);
        mpfr_init(r25530);
        mpfr_init(r25531);
        mpfr_init(r25532);
        mpfr_init(r25533);
        mpfr_init(r25534);
        mpfr_init(r25535);
        mpfr_init(r25536);
}

double f_fm(double a, double b) {
        mpfr_set_d(r25517, a, MPFR_RNDN);
        mpfr_mul(r25518, r25517, r25517, MPFR_RNDN);
        mpfr_set_d(r25519, b, MPFR_RNDN);
        mpfr_mul(r25520, r25519, r25519, MPFR_RNDN);
        mpfr_add(r25521, r25518, r25520, MPFR_RNDN);
        ;
        mpfr_pow(r25523, r25521, r25522, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25526, r25525, r25517, MPFR_RNDN);
        mpfr_mul(r25527, r25518, r25526, MPFR_RNDN);
        ;
        mpfr_add(r25529, r25528, r25517, MPFR_RNDN);
        mpfr_mul(r25530, r25520, r25529, MPFR_RNDN);
        mpfr_add(r25531, r25527, r25530, MPFR_RNDN);
        mpfr_mul(r25532, r25524, r25531, MPFR_RNDN);
        mpfr_add(r25533, r25523, r25532, MPFR_RNDN);
        mpfr_sqrt(r25534, r25533, MPFR_RNDN);
        mpfr_mul(r25535, r25534, r25534, MPFR_RNDN);
        mpfr_sub(r25536, r25535, r25525, MPFR_RNDN);
        return mpfr_get_d(r25536, MPFR_RNDN);
}

static mpfr_t r25537, r25538, r25539, r25540, r25541, r25542, r25543, r25544, r25545, r25546, r25547, r25548, r25549, r25550, r25551, r25552, r25553, r25554, r25555, r25556;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25537);
        mpfr_init(r25538);
        mpfr_init(r25539);
        mpfr_init(r25540);
        mpfr_init(r25541);
        mpfr_init_set_str(r25542, "2", 10, MPFR_RNDN);
        mpfr_init(r25543);
        mpfr_init_set_str(r25544, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25545, "1", 10, MPFR_RNDN);
        mpfr_init(r25546);
        mpfr_init(r25547);
        mpfr_init_set_str(r25548, "3", 10, MPFR_RNDN);
        mpfr_init(r25549);
        mpfr_init(r25550);
        mpfr_init(r25551);
        mpfr_init(r25552);
        mpfr_init(r25553);
        mpfr_init(r25554);
        mpfr_init(r25555);
        mpfr_init(r25556);
}

double f_dm(double a, double b) {
        mpfr_set_d(r25537, a, MPFR_RNDN);
        mpfr_mul(r25538, r25537, r25537, MPFR_RNDN);
        mpfr_set_d(r25539, b, MPFR_RNDN);
        mpfr_mul(r25540, r25539, r25539, MPFR_RNDN);
        mpfr_add(r25541, r25538, r25540, MPFR_RNDN);
        ;
        mpfr_pow(r25543, r25541, r25542, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r25546, r25545, r25537, MPFR_RNDN);
        mpfr_mul(r25547, r25538, r25546, MPFR_RNDN);
        ;
        mpfr_add(r25549, r25548, r25537, MPFR_RNDN);
        mpfr_mul(r25550, r25540, r25549, MPFR_RNDN);
        mpfr_add(r25551, r25547, r25550, MPFR_RNDN);
        mpfr_mul(r25552, r25544, r25551, MPFR_RNDN);
        mpfr_add(r25553, r25543, r25552, MPFR_RNDN);
        mpfr_sqrt(r25554, r25553, MPFR_RNDN);
        mpfr_mul(r25555, r25554, r25554, MPFR_RNDN);
        mpfr_sub(r25556, r25555, r25545, MPFR_RNDN);
        return mpfr_get_d(r25556, MPFR_RNDN);
}