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

char *name = "Bouland and Aaronson, Equation (25)";

double f_if(float a, float b) {
        float r25360 = a;
        float r25361 = r25360 * r25360;
        float r25362 = b;
        float r25363 = r25362 * r25362;
        float r25364 = r25361 + r25363;
        float r25365 = 2;
        float r25366 = pow(r25364, r25365);
        float r25367 = 4;
        float r25368 = 1;
        float r25369 = r25368 + r25360;
        float r25370 = r25361 * r25369;
        float r25371 = 3;
        float r25372 = r25371 * r25360;
        float r25373 = r25368 - r25372;
        float r25374 = r25363 * r25373;
        float r25375 = r25370 + r25374;
        float r25376 = r25367 * r25375;
        float r25377 = r25366 + r25376;
        float r25378 = r25377 - r25368;
        return r25378;
}

double f_id(double a, double b) {
        double r25379 = a;
        double r25380 = r25379 * r25379;
        double r25381 = b;
        double r25382 = r25381 * r25381;
        double r25383 = r25380 + r25382;
        double r25384 = 2;
        double r25385 = pow(r25383, r25384);
        double r25386 = 4;
        double r25387 = 1;
        double r25388 = r25387 + r25379;
        double r25389 = r25380 * r25388;
        double r25390 = 3;
        double r25391 = r25390 * r25379;
        double r25392 = r25387 - r25391;
        double r25393 = r25382 * r25392;
        double r25394 = r25389 + r25393;
        double r25395 = r25386 * r25394;
        double r25396 = r25385 + r25395;
        double r25397 = r25396 - r25387;
        return r25397;
}


double f_of(float a, float b) {
        float r25398 = a;
        float r25399 = r25398 * r25398;
        float r25400 = b;
        float r25401 = r25400 * r25400;
        float r25402 = r25399 + r25401;
        float r25403 = 2;
        float r25404 = pow(r25402, r25403);
        float r25405 = 4;
        float r25406 = 1;
        float r25407 = r25406 + r25398;
        float r25408 = r25399 * r25407;
        float r25409 = 3;
        float r25410 = r25409 * r25398;
        float r25411 = r25406 - r25410;
        float r25412 = r25401 * r25411;
        float r25413 = r25408 + r25412;
        float r25414 = r25405 * r25413;
        float r25415 = r25404 + r25414;
        float r25416 = sqrt(r25415);
        float r25417 = r25416 * r25416;
        float r25418 = r25417 - r25406;
        return r25418;
}

double f_od(double a, double b) {
        double r25419 = a;
        double r25420 = r25419 * r25419;
        double r25421 = b;
        double r25422 = r25421 * r25421;
        double r25423 = r25420 + r25422;
        double r25424 = 2;
        double r25425 = pow(r25423, r25424);
        double r25426 = 4;
        double r25427 = 1;
        double r25428 = r25427 + r25419;
        double r25429 = r25420 * r25428;
        double r25430 = 3;
        double r25431 = r25430 * r25419;
        double r25432 = r25427 - r25431;
        double r25433 = r25422 * r25432;
        double r25434 = r25429 + r25433;
        double r25435 = r25426 * r25434;
        double r25436 = r25425 + r25435;
        double r25437 = sqrt(r25436);
        double r25438 = r25437 * r25437;
        double r25439 = r25438 - r25427;
        return r25439;
}

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 r25440, r25441, r25442, r25443, r25444, r25445, r25446, r25447, r25448, r25449, r25450, r25451, r25452, r25453, r25454, r25455, r25456, r25457, r25458;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r25440);
        mpfr_init(r25441);
        mpfr_init(r25442);
        mpfr_init(r25443);
        mpfr_init(r25444);
        mpfr_init_set_str(r25445, "2", 10, MPFR_RNDN);
        mpfr_init(r25446);
        mpfr_init_set_str(r25447, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25448, "1", 10, MPFR_RNDN);
        mpfr_init(r25449);
        mpfr_init(r25450);
        mpfr_init_set_str(r25451, "3", 10, MPFR_RNDN);
        mpfr_init(r25452);
        mpfr_init(r25453);
        mpfr_init(r25454);
        mpfr_init(r25455);
        mpfr_init(r25456);
        mpfr_init(r25457);
        mpfr_init(r25458);
}

double f_im(double a, double b) {
        mpfr_set_d(r25440, a, MPFR_RNDN);
        mpfr_mul(r25441, r25440, r25440, MPFR_RNDN);
        mpfr_set_d(r25442, b, MPFR_RNDN);
        mpfr_mul(r25443, r25442, r25442, MPFR_RNDN);
        mpfr_add(r25444, r25441, r25443, MPFR_RNDN);
        ;
        mpfr_pow(r25446, r25444, r25445, MPFR_RNDN);
        ;
        ;
        mpfr_add(r25449, r25448, r25440, MPFR_RNDN);
        mpfr_mul(r25450, r25441, r25449, MPFR_RNDN);
        ;
        mpfr_mul(r25452, r25451, r25440, MPFR_RNDN);
        mpfr_sub(r25453, r25448, r25452, MPFR_RNDN);
        mpfr_mul(r25454, r25443, r25453, MPFR_RNDN);
        mpfr_add(r25455, r25450, r25454, MPFR_RNDN);
        mpfr_mul(r25456, r25447, r25455, MPFR_RNDN);
        mpfr_add(r25457, r25446, r25456, MPFR_RNDN);
        mpfr_sub(r25458, r25457, r25448, MPFR_RNDN);
        return mpfr_get_d(r25458, MPFR_RNDN);
}

static mpfr_t r25459, r25460, r25461, r25462, r25463, r25464, r25465, r25466, r25467, r25468, r25469, r25470, r25471, r25472, r25473, r25474, r25475, r25476, r25477, r25478, r25479;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25459);
        mpfr_init(r25460);
        mpfr_init(r25461);
        mpfr_init(r25462);
        mpfr_init(r25463);
        mpfr_init_set_str(r25464, "2", 10, MPFR_RNDN);
        mpfr_init(r25465);
        mpfr_init_set_str(r25466, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25467, "1", 10, MPFR_RNDN);
        mpfr_init(r25468);
        mpfr_init(r25469);
        mpfr_init_set_str(r25470, "3", 10, MPFR_RNDN);
        mpfr_init(r25471);
        mpfr_init(r25472);
        mpfr_init(r25473);
        mpfr_init(r25474);
        mpfr_init(r25475);
        mpfr_init(r25476);
        mpfr_init(r25477);
        mpfr_init(r25478);
        mpfr_init(r25479);
}

double f_fm(double a, double b) {
        mpfr_set_d(r25459, a, MPFR_RNDN);
        mpfr_mul(r25460, r25459, r25459, MPFR_RNDN);
        mpfr_set_d(r25461, b, MPFR_RNDN);
        mpfr_mul(r25462, r25461, r25461, MPFR_RNDN);
        mpfr_add(r25463, r25460, r25462, MPFR_RNDN);
        ;
        mpfr_pow(r25465, r25463, r25464, MPFR_RNDN);
        ;
        ;
        mpfr_add(r25468, r25467, r25459, MPFR_RNDN);
        mpfr_mul(r25469, r25460, r25468, MPFR_RNDN);
        ;
        mpfr_mul(r25471, r25470, r25459, MPFR_RNDN);
        mpfr_sub(r25472, r25467, r25471, MPFR_RNDN);
        mpfr_mul(r25473, r25462, r25472, MPFR_RNDN);
        mpfr_add(r25474, r25469, r25473, MPFR_RNDN);
        mpfr_mul(r25475, r25466, r25474, MPFR_RNDN);
        mpfr_add(r25476, r25465, r25475, MPFR_RNDN);
        mpfr_sqrt(r25477, r25476, MPFR_RNDN);
        mpfr_mul(r25478, r25477, r25477, MPFR_RNDN);
        mpfr_sub(r25479, r25478, r25467, MPFR_RNDN);
        return mpfr_get_d(r25479, MPFR_RNDN);
}

static mpfr_t r25480, r25481, r25482, r25483, r25484, r25485, r25486, r25487, r25488, r25489, r25490, r25491, r25492, r25493, r25494, r25495, r25496, r25497, r25498, r25499, r25500;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r25480);
        mpfr_init(r25481);
        mpfr_init(r25482);
        mpfr_init(r25483);
        mpfr_init(r25484);
        mpfr_init_set_str(r25485, "2", 10, MPFR_RNDN);
        mpfr_init(r25486);
        mpfr_init_set_str(r25487, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r25488, "1", 10, MPFR_RNDN);
        mpfr_init(r25489);
        mpfr_init(r25490);
        mpfr_init_set_str(r25491, "3", 10, MPFR_RNDN);
        mpfr_init(r25492);
        mpfr_init(r25493);
        mpfr_init(r25494);
        mpfr_init(r25495);
        mpfr_init(r25496);
        mpfr_init(r25497);
        mpfr_init(r25498);
        mpfr_init(r25499);
        mpfr_init(r25500);
}

double f_dm(double a, double b) {
        mpfr_set_d(r25480, a, MPFR_RNDN);
        mpfr_mul(r25481, r25480, r25480, MPFR_RNDN);
        mpfr_set_d(r25482, b, MPFR_RNDN);
        mpfr_mul(r25483, r25482, r25482, MPFR_RNDN);
        mpfr_add(r25484, r25481, r25483, MPFR_RNDN);
        ;
        mpfr_pow(r25486, r25484, r25485, MPFR_RNDN);
        ;
        ;
        mpfr_add(r25489, r25488, r25480, MPFR_RNDN);
        mpfr_mul(r25490, r25481, r25489, MPFR_RNDN);
        ;
        mpfr_mul(r25492, r25491, r25480, MPFR_RNDN);
        mpfr_sub(r25493, r25488, r25492, MPFR_RNDN);
        mpfr_mul(r25494, r25483, r25493, MPFR_RNDN);
        mpfr_add(r25495, r25490, r25494, MPFR_RNDN);
        mpfr_mul(r25496, r25487, r25495, MPFR_RNDN);
        mpfr_add(r25497, r25486, r25496, MPFR_RNDN);
        mpfr_sqrt(r25498, r25497, MPFR_RNDN);
        mpfr_mul(r25499, r25498, r25498, MPFR_RNDN);
        mpfr_sub(r25500, r25499, r25488, MPFR_RNDN);
        return mpfr_get_d(r25500, MPFR_RNDN);
}