#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 r23401 = a;
        float r23402 = r23401 * r23401;
        float r23403 = b;
        float r23404 = r23403 * r23403;
        float r23405 = r23402 + r23404;
        float r23406 = 2;
        float r23407 = pow(r23405, r23406);
        float r23408 = 4;
        float r23409 = 1;
        float r23410 = r23409 - r23401;
        float r23411 = r23402 * r23410;
        float r23412 = 3;
        float r23413 = r23412 + r23401;
        float r23414 = r23404 * r23413;
        float r23415 = r23411 + r23414;
        float r23416 = r23408 * r23415;
        float r23417 = r23407 + r23416;
        float r23418 = r23417 - r23409;
        return r23418;
}

double f_id(double a, double b) {
        double r23419 = a;
        double r23420 = r23419 * r23419;
        double r23421 = b;
        double r23422 = r23421 * r23421;
        double r23423 = r23420 + r23422;
        double r23424 = 2;
        double r23425 = pow(r23423, r23424);
        double r23426 = 4;
        double r23427 = 1;
        double r23428 = r23427 - r23419;
        double r23429 = r23420 * r23428;
        double r23430 = 3;
        double r23431 = r23430 + r23419;
        double r23432 = r23422 * r23431;
        double r23433 = r23429 + r23432;
        double r23434 = r23426 * r23433;
        double r23435 = r23425 + r23434;
        double r23436 = r23435 - r23427;
        return r23436;
}


double f_of(float a, float b) {
        float r23437 = a;
        float r23438 = r23437 * r23437;
        float r23439 = b;
        float r23440 = r23439 * r23439;
        float r23441 = r23438 + r23440;
        float r23442 = 2;
        float r23443 = pow(r23441, r23442);
        float r23444 = 4;
        float r23445 = 1;
        float r23446 = r23445 - r23437;
        float r23447 = r23438 * r23446;
        float r23448 = 3;
        float r23449 = r23448 + r23437;
        float r23450 = r23440 * r23449;
        float r23451 = r23447 + r23450;
        float r23452 = r23444 * r23451;
        float r23453 = r23443 + r23452;
        float r23454 = r23453 - r23445;
        return r23454;
}

double f_od(double a, double b) {
        double r23455 = a;
        double r23456 = r23455 * r23455;
        double r23457 = b;
        double r23458 = r23457 * r23457;
        double r23459 = r23456 + r23458;
        double r23460 = 2;
        double r23461 = pow(r23459, r23460);
        double r23462 = 4;
        double r23463 = 1;
        double r23464 = r23463 - r23455;
        double r23465 = r23456 * r23464;
        double r23466 = 3;
        double r23467 = r23466 + r23455;
        double r23468 = r23458 * r23467;
        double r23469 = r23465 + r23468;
        double r23470 = r23462 * r23469;
        double r23471 = r23461 + r23470;
        double r23472 = r23471 - r23463;
        return r23472;
}

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 r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480, r23481, r23482, r23483, r23484, r23485, r23486, r23487, r23488, r23489, r23490;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23473);
        mpfr_init(r23474);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
        mpfr_init_set_str(r23478, "2", 10, MPFR_RNDN);
        mpfr_init(r23479);
        mpfr_init_set_str(r23480, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23481, "1", 10, MPFR_RNDN);
        mpfr_init(r23482);
        mpfr_init(r23483);
        mpfr_init_set_str(r23484, "3", 10, MPFR_RNDN);
        mpfr_init(r23485);
        mpfr_init(r23486);
        mpfr_init(r23487);
        mpfr_init(r23488);
        mpfr_init(r23489);
        mpfr_init(r23490);
}

double f_im(double a, double b) {
        mpfr_set_d(r23473, a, MPFR_RNDN);
        mpfr_mul(r23474, r23473, r23473, MPFR_RNDN);
        mpfr_set_d(r23475, b, MPFR_RNDN);
        mpfr_mul(r23476, r23475, r23475, MPFR_RNDN);
        mpfr_add(r23477, r23474, r23476, MPFR_RNDN);
        ;
        mpfr_pow(r23479, r23477, r23478, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23482, r23481, r23473, MPFR_RNDN);
        mpfr_mul(r23483, r23474, r23482, MPFR_RNDN);
        ;
        mpfr_add(r23485, r23484, r23473, MPFR_RNDN);
        mpfr_mul(r23486, r23476, r23485, MPFR_RNDN);
        mpfr_add(r23487, r23483, r23486, MPFR_RNDN);
        mpfr_mul(r23488, r23480, r23487, MPFR_RNDN);
        mpfr_add(r23489, r23479, r23488, MPFR_RNDN);
        mpfr_sub(r23490, r23489, r23481, MPFR_RNDN);
        return mpfr_get_d(r23490, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23491);
        mpfr_init(r23492);
        mpfr_init(r23493);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init_set_str(r23496, "2", 10, MPFR_RNDN);
        mpfr_init(r23497);
        mpfr_init_set_str(r23498, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23499, "1", 10, MPFR_RNDN);
        mpfr_init(r23500);
        mpfr_init(r23501);
        mpfr_init_set_str(r23502, "3", 10, MPFR_RNDN);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init(r23506);
        mpfr_init(r23507);
        mpfr_init(r23508);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23491, a, MPFR_RNDN);
        mpfr_mul(r23492, r23491, r23491, MPFR_RNDN);
        mpfr_set_d(r23493, b, MPFR_RNDN);
        mpfr_mul(r23494, r23493, r23493, MPFR_RNDN);
        mpfr_add(r23495, r23492, r23494, MPFR_RNDN);
        ;
        mpfr_pow(r23497, r23495, r23496, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23500, r23499, r23491, MPFR_RNDN);
        mpfr_mul(r23501, r23492, r23500, MPFR_RNDN);
        ;
        mpfr_add(r23503, r23502, r23491, MPFR_RNDN);
        mpfr_mul(r23504, r23494, r23503, MPFR_RNDN);
        mpfr_add(r23505, r23501, r23504, MPFR_RNDN);
        mpfr_mul(r23506, r23498, r23505, MPFR_RNDN);
        mpfr_add(r23507, r23497, r23506, MPFR_RNDN);
        mpfr_sub(r23508, r23507, r23499, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23509);
        mpfr_init(r23510);
        mpfr_init(r23511);
        mpfr_init(r23512);
        mpfr_init(r23513);
        mpfr_init_set_str(r23514, "2", 10, MPFR_RNDN);
        mpfr_init(r23515);
        mpfr_init_set_str(r23516, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23517, "1", 10, MPFR_RNDN);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init_set_str(r23520, "3", 10, MPFR_RNDN);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
        mpfr_init(r23526);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23509, a, MPFR_RNDN);
        mpfr_mul(r23510, r23509, r23509, MPFR_RNDN);
        mpfr_set_d(r23511, b, MPFR_RNDN);
        mpfr_mul(r23512, r23511, r23511, MPFR_RNDN);
        mpfr_add(r23513, r23510, r23512, MPFR_RNDN);
        ;
        mpfr_pow(r23515, r23513, r23514, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23518, r23517, r23509, MPFR_RNDN);
        mpfr_mul(r23519, r23510, r23518, MPFR_RNDN);
        ;
        mpfr_add(r23521, r23520, r23509, MPFR_RNDN);
        mpfr_mul(r23522, r23512, r23521, MPFR_RNDN);
        mpfr_add(r23523, r23519, r23522, MPFR_RNDN);
        mpfr_mul(r23524, r23516, r23523, MPFR_RNDN);
        mpfr_add(r23525, r23515, r23524, MPFR_RNDN);
        mpfr_sub(r23526, r23525, r23517, MPFR_RNDN);
        return mpfr_get_d(r23526, MPFR_RNDN);
}