#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 r23260 = a;
        float r23261 = r23260 * r23260;
        float r23262 = b;
        float r23263 = r23262 * r23262;
        float r23264 = r23261 + r23263;
        float r23265 = 2;
        float r23266 = pow(r23264, r23265);
        float r23267 = 4;
        float r23268 = 1;
        float r23269 = r23268 + r23260;
        float r23270 = r23261 * r23269;
        float r23271 = 3;
        float r23272 = r23271 * r23260;
        float r23273 = r23268 - r23272;
        float r23274 = r23263 * r23273;
        float r23275 = r23270 + r23274;
        float r23276 = r23267 * r23275;
        float r23277 = r23266 + r23276;
        float r23278 = r23277 - r23268;
        return r23278;
}

double f_id(double a, double b) {
        double r23279 = a;
        double r23280 = r23279 * r23279;
        double r23281 = b;
        double r23282 = r23281 * r23281;
        double r23283 = r23280 + r23282;
        double r23284 = 2;
        double r23285 = pow(r23283, r23284);
        double r23286 = 4;
        double r23287 = 1;
        double r23288 = r23287 + r23279;
        double r23289 = r23280 * r23288;
        double r23290 = 3;
        double r23291 = r23290 * r23279;
        double r23292 = r23287 - r23291;
        double r23293 = r23282 * r23292;
        double r23294 = r23289 + r23293;
        double r23295 = r23286 * r23294;
        double r23296 = r23285 + r23295;
        double r23297 = r23296 - r23287;
        return r23297;
}


double f_of(float a, float b) {
        float r23298 = a;
        float r23299 = r23298 * r23298;
        float r23300 = b;
        float r23301 = r23300 * r23300;
        float r23302 = r23299 + r23301;
        float r23303 = 2;
        float r23304 = pow(r23302, r23303);
        float r23305 = 4;
        float r23306 = 1;
        float r23307 = r23306 + r23298;
        float r23308 = r23299 * r23307;
        float r23309 = 3;
        float r23310 = r23309 * r23298;
        float r23311 = r23306 - r23310;
        float r23312 = r23301 * r23311;
        float r23313 = r23308 + r23312;
        float r23314 = r23305 * r23313;
        float r23315 = r23304 + r23314;
        float r23316 = sqrt(r23315);
        float r23317 = r23316 * r23316;
        float r23318 = r23317 - r23306;
        return r23318;
}

double f_od(double a, double b) {
        double r23319 = a;
        double r23320 = r23319 * r23319;
        double r23321 = b;
        double r23322 = r23321 * r23321;
        double r23323 = r23320 + r23322;
        double r23324 = 2;
        double r23325 = pow(r23323, r23324);
        double r23326 = 4;
        double r23327 = 1;
        double r23328 = r23327 + r23319;
        double r23329 = r23320 * r23328;
        double r23330 = 3;
        double r23331 = r23330 * r23319;
        double r23332 = r23327 - r23331;
        double r23333 = r23322 * r23332;
        double r23334 = r23329 + r23333;
        double r23335 = r23326 * r23334;
        double r23336 = r23325 + r23335;
        double r23337 = sqrt(r23336);
        double r23338 = r23337 * r23337;
        double r23339 = r23338 - r23327;
        return r23339;
}

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 r23340, r23341, r23342, r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354, r23355, r23356, r23357, r23358;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23340);
        mpfr_init(r23341);
        mpfr_init(r23342);
        mpfr_init(r23343);
        mpfr_init(r23344);
        mpfr_init_set_str(r23345, "2", 10, MPFR_RNDN);
        mpfr_init(r23346);
        mpfr_init_set_str(r23347, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23348, "1", 10, MPFR_RNDN);
        mpfr_init(r23349);
        mpfr_init(r23350);
        mpfr_init_set_str(r23351, "3", 10, MPFR_RNDN);
        mpfr_init(r23352);
        mpfr_init(r23353);
        mpfr_init(r23354);
        mpfr_init(r23355);
        mpfr_init(r23356);
        mpfr_init(r23357);
        mpfr_init(r23358);
}

double f_im(double a, double b) {
        mpfr_set_d(r23340, a, MPFR_RNDN);
        mpfr_mul(r23341, r23340, r23340, MPFR_RNDN);
        mpfr_set_d(r23342, b, MPFR_RNDN);
        mpfr_mul(r23343, r23342, r23342, MPFR_RNDN);
        mpfr_add(r23344, r23341, r23343, MPFR_RNDN);
        ;
        mpfr_pow(r23346, r23344, r23345, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23349, r23348, r23340, MPFR_RNDN);
        mpfr_mul(r23350, r23341, r23349, MPFR_RNDN);
        ;
        mpfr_mul(r23352, r23351, r23340, MPFR_RNDN);
        mpfr_sub(r23353, r23348, r23352, MPFR_RNDN);
        mpfr_mul(r23354, r23343, r23353, MPFR_RNDN);
        mpfr_add(r23355, r23350, r23354, MPFR_RNDN);
        mpfr_mul(r23356, r23347, r23355, MPFR_RNDN);
        mpfr_add(r23357, r23346, r23356, MPFR_RNDN);
        mpfr_sub(r23358, r23357, r23348, MPFR_RNDN);
        return mpfr_get_d(r23358, MPFR_RNDN);
}

static mpfr_t r23359, r23360, r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373, r23374, r23375, r23376, r23377, r23378, r23379;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23359);
        mpfr_init(r23360);
        mpfr_init(r23361);
        mpfr_init(r23362);
        mpfr_init(r23363);
        mpfr_init_set_str(r23364, "2", 10, MPFR_RNDN);
        mpfr_init(r23365);
        mpfr_init_set_str(r23366, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23367, "1", 10, MPFR_RNDN);
        mpfr_init(r23368);
        mpfr_init(r23369);
        mpfr_init_set_str(r23370, "3", 10, MPFR_RNDN);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
        mpfr_init(r23374);
        mpfr_init(r23375);
        mpfr_init(r23376);
        mpfr_init(r23377);
        mpfr_init(r23378);
        mpfr_init(r23379);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23359, a, MPFR_RNDN);
        mpfr_mul(r23360, r23359, r23359, MPFR_RNDN);
        mpfr_set_d(r23361, b, MPFR_RNDN);
        mpfr_mul(r23362, r23361, r23361, MPFR_RNDN);
        mpfr_add(r23363, r23360, r23362, MPFR_RNDN);
        ;
        mpfr_pow(r23365, r23363, r23364, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23368, r23367, r23359, MPFR_RNDN);
        mpfr_mul(r23369, r23360, r23368, MPFR_RNDN);
        ;
        mpfr_mul(r23371, r23370, r23359, MPFR_RNDN);
        mpfr_sub(r23372, r23367, r23371, MPFR_RNDN);
        mpfr_mul(r23373, r23362, r23372, MPFR_RNDN);
        mpfr_add(r23374, r23369, r23373, MPFR_RNDN);
        mpfr_mul(r23375, r23366, r23374, MPFR_RNDN);
        mpfr_add(r23376, r23365, r23375, MPFR_RNDN);
        mpfr_sqrt(r23377, r23376, MPFR_RNDN);
        mpfr_mul(r23378, r23377, r23377, MPFR_RNDN);
        mpfr_sub(r23379, r23378, r23367, MPFR_RNDN);
        return mpfr_get_d(r23379, MPFR_RNDN);
}

static mpfr_t r23380, r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399, r23400;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23380);
        mpfr_init(r23381);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init_set_str(r23385, "2", 10, MPFR_RNDN);
        mpfr_init(r23386);
        mpfr_init_set_str(r23387, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23388, "1", 10, MPFR_RNDN);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init_set_str(r23391, "3", 10, MPFR_RNDN);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23380, a, MPFR_RNDN);
        mpfr_mul(r23381, r23380, r23380, MPFR_RNDN);
        mpfr_set_d(r23382, b, MPFR_RNDN);
        mpfr_mul(r23383, r23382, r23382, MPFR_RNDN);
        mpfr_add(r23384, r23381, r23383, MPFR_RNDN);
        ;
        mpfr_pow(r23386, r23384, r23385, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23389, r23388, r23380, MPFR_RNDN);
        mpfr_mul(r23390, r23381, r23389, MPFR_RNDN);
        ;
        mpfr_mul(r23392, r23391, r23380, MPFR_RNDN);
        mpfr_sub(r23393, r23388, r23392, MPFR_RNDN);
        mpfr_mul(r23394, r23383, r23393, MPFR_RNDN);
        mpfr_add(r23395, r23390, r23394, MPFR_RNDN);
        mpfr_mul(r23396, r23387, r23395, MPFR_RNDN);
        mpfr_add(r23397, r23386, r23396, MPFR_RNDN);
        mpfr_sqrt(r23398, r23397, MPFR_RNDN);
        mpfr_mul(r23399, r23398, r23398, MPFR_RNDN);
        mpfr_sub(r23400, r23399, r23388, MPFR_RNDN);
        return mpfr_get_d(r23400, MPFR_RNDN);
}