#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 r23387 = a;
        float r23388 = r23387 * r23387;
        float r23389 = b;
        float r23390 = r23389 * r23389;
        float r23391 = r23388 + r23390;
        float r23392 = 2;
        float r23393 = pow(r23391, r23392);
        float r23394 = 4;
        float r23395 = 1;
        float r23396 = r23395 - r23387;
        float r23397 = r23388 * r23396;
        float r23398 = 3;
        float r23399 = r23398 + r23387;
        float r23400 = r23390 * r23399;
        float r23401 = r23397 + r23400;
        float r23402 = r23394 * r23401;
        float r23403 = r23393 + r23402;
        float r23404 = r23403 - r23395;
        return r23404;
}

double f_id(double a, double b) {
        double r23405 = a;
        double r23406 = r23405 * r23405;
        double r23407 = b;
        double r23408 = r23407 * r23407;
        double r23409 = r23406 + r23408;
        double r23410 = 2;
        double r23411 = pow(r23409, r23410);
        double r23412 = 4;
        double r23413 = 1;
        double r23414 = r23413 - r23405;
        double r23415 = r23406 * r23414;
        double r23416 = 3;
        double r23417 = r23416 + r23405;
        double r23418 = r23408 * r23417;
        double r23419 = r23415 + r23418;
        double r23420 = r23412 * r23419;
        double r23421 = r23411 + r23420;
        double r23422 = r23421 - r23413;
        return r23422;
}


double f_of(float a, float b) {
        float r23423 = a;
        float r23424 = r23423 * r23423;
        float r23425 = b;
        float r23426 = r23425 * r23425;
        float r23427 = r23424 + r23426;
        float r23428 = 2;
        float r23429 = pow(r23427, r23428);
        float r23430 = 4;
        float r23431 = 1;
        float r23432 = r23431 - r23423;
        float r23433 = r23424 * r23432;
        float r23434 = 3;
        float r23435 = r23434 + r23423;
        float r23436 = r23426 * r23435;
        float r23437 = r23433 + r23436;
        float r23438 = r23430 * r23437;
        float r23439 = r23429 + r23438;
        float r23440 = sqrt(r23439);
        float r23441 = r23440 * r23440;
        float r23442 = r23441 - r23431;
        return r23442;
}

double f_od(double a, double b) {
        double r23443 = a;
        double r23444 = r23443 * r23443;
        double r23445 = b;
        double r23446 = r23445 * r23445;
        double r23447 = r23444 + r23446;
        double r23448 = 2;
        double r23449 = pow(r23447, r23448);
        double r23450 = 4;
        double r23451 = 1;
        double r23452 = r23451 - r23443;
        double r23453 = r23444 * r23452;
        double r23454 = 3;
        double r23455 = r23454 + r23443;
        double r23456 = r23446 * r23455;
        double r23457 = r23453 + r23456;
        double r23458 = r23450 * r23457;
        double r23459 = r23449 + r23458;
        double r23460 = sqrt(r23459);
        double r23461 = r23460 * r23460;
        double r23462 = r23461 - r23451;
        return r23462;
}

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 r23463, r23464, r23465, r23466, r23467, r23468, r23469, r23470, r23471, r23472, r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23463);
        mpfr_init(r23464);
        mpfr_init(r23465);
        mpfr_init(r23466);
        mpfr_init(r23467);
        mpfr_init_set_str(r23468, "2", 10, MPFR_RNDN);
        mpfr_init(r23469);
        mpfr_init_set_str(r23470, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23471, "1", 10, MPFR_RNDN);
        mpfr_init(r23472);
        mpfr_init(r23473);
        mpfr_init_set_str(r23474, "3", 10, MPFR_RNDN);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
        mpfr_init(r23478);
        mpfr_init(r23479);
        mpfr_init(r23480);
}

double f_im(double a, double b) {
        mpfr_set_d(r23463, a, MPFR_RNDN);
        mpfr_mul(r23464, r23463, r23463, MPFR_RNDN);
        mpfr_set_d(r23465, b, MPFR_RNDN);
        mpfr_mul(r23466, r23465, r23465, MPFR_RNDN);
        mpfr_add(r23467, r23464, r23466, MPFR_RNDN);
        ;
        mpfr_pow(r23469, r23467, r23468, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23472, r23471, r23463, MPFR_RNDN);
        mpfr_mul(r23473, r23464, r23472, MPFR_RNDN);
        ;
        mpfr_add(r23475, r23474, r23463, MPFR_RNDN);
        mpfr_mul(r23476, r23466, r23475, MPFR_RNDN);
        mpfr_add(r23477, r23473, r23476, MPFR_RNDN);
        mpfr_mul(r23478, r23470, r23477, MPFR_RNDN);
        mpfr_add(r23479, r23469, r23478, MPFR_RNDN);
        mpfr_sub(r23480, r23479, r23471, MPFR_RNDN);
        return mpfr_get_d(r23480, MPFR_RNDN);
}

static mpfr_t r23481, r23482, r23483, r23484, r23485, r23486, r23487, r23488, r23489, r23490, r23491, r23492, r23493, r23494, r23495, r23496, r23497, r23498, r23499, r23500;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23481);
        mpfr_init(r23482);
        mpfr_init(r23483);
        mpfr_init(r23484);
        mpfr_init(r23485);
        mpfr_init_set_str(r23486, "2", 10, MPFR_RNDN);
        mpfr_init(r23487);
        mpfr_init_set_str(r23488, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23489, "1", 10, MPFR_RNDN);
        mpfr_init(r23490);
        mpfr_init(r23491);
        mpfr_init_set_str(r23492, "3", 10, MPFR_RNDN);
        mpfr_init(r23493);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init(r23499);
        mpfr_init(r23500);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23481, a, MPFR_RNDN);
        mpfr_mul(r23482, r23481, r23481, MPFR_RNDN);
        mpfr_set_d(r23483, b, MPFR_RNDN);
        mpfr_mul(r23484, r23483, r23483, MPFR_RNDN);
        mpfr_add(r23485, r23482, r23484, MPFR_RNDN);
        ;
        mpfr_pow(r23487, r23485, r23486, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23490, r23489, r23481, MPFR_RNDN);
        mpfr_mul(r23491, r23482, r23490, MPFR_RNDN);
        ;
        mpfr_add(r23493, r23492, r23481, MPFR_RNDN);
        mpfr_mul(r23494, r23484, r23493, MPFR_RNDN);
        mpfr_add(r23495, r23491, r23494, MPFR_RNDN);
        mpfr_mul(r23496, r23488, r23495, MPFR_RNDN);
        mpfr_add(r23497, r23487, r23496, MPFR_RNDN);
        mpfr_sqrt(r23498, r23497, MPFR_RNDN);
        mpfr_mul(r23499, r23498, r23498, MPFR_RNDN);
        mpfr_sub(r23500, r23499, r23489, MPFR_RNDN);
        return mpfr_get_d(r23500, MPFR_RNDN);
}

static mpfr_t r23501, r23502, r23503, r23504, r23505, r23506, r23507, r23508, r23509, r23510, r23511, r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init_set_str(r23506, "2", 10, MPFR_RNDN);
        mpfr_init(r23507);
        mpfr_init_set_str(r23508, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23509, "1", 10, MPFR_RNDN);
        mpfr_init(r23510);
        mpfr_init(r23511);
        mpfr_init_set_str(r23512, "3", 10, MPFR_RNDN);
        mpfr_init(r23513);
        mpfr_init(r23514);
        mpfr_init(r23515);
        mpfr_init(r23516);
        mpfr_init(r23517);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init(r23520);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23501, a, MPFR_RNDN);
        mpfr_mul(r23502, r23501, r23501, MPFR_RNDN);
        mpfr_set_d(r23503, b, MPFR_RNDN);
        mpfr_mul(r23504, r23503, r23503, MPFR_RNDN);
        mpfr_add(r23505, r23502, r23504, MPFR_RNDN);
        ;
        mpfr_pow(r23507, r23505, r23506, MPFR_RNDN);
        ;
        ;
        mpfr_sub(r23510, r23509, r23501, MPFR_RNDN);
        mpfr_mul(r23511, r23502, r23510, MPFR_RNDN);
        ;
        mpfr_add(r23513, r23512, r23501, MPFR_RNDN);
        mpfr_mul(r23514, r23504, r23513, MPFR_RNDN);
        mpfr_add(r23515, r23511, r23514, MPFR_RNDN);
        mpfr_mul(r23516, r23508, r23515, MPFR_RNDN);
        mpfr_add(r23517, r23507, r23516, MPFR_RNDN);
        mpfr_sqrt(r23518, r23517, MPFR_RNDN);
        mpfr_mul(r23519, r23518, r23518, MPFR_RNDN);
        mpfr_sub(r23520, r23519, r23509, MPFR_RNDN);
        return mpfr_get_d(r23520, MPFR_RNDN);
}