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

char *name = "NMSE problem 3.2.1";

double f_if(float a, float b_2F2, float c) {
        float r23308 = b_2F2;
        float r23309 = -r23308;
        float r23310 = r23308 * r23308;
        float r23311 = a;
        float r23312 = c;
        float r23313 = r23311 * r23312;
        float r23314 = r23310 - r23313;
        float r23315 = sqrt(r23314);
        float r23316 = r23309 - r23315;
        float r23317 = r23316 / r23311;
        return r23317;
}

double f_id(double a, double b_2F2, double c) {
        double r23318 = b_2F2;
        double r23319 = -r23318;
        double r23320 = r23318 * r23318;
        double r23321 = a;
        double r23322 = c;
        double r23323 = r23321 * r23322;
        double r23324 = r23320 - r23323;
        double r23325 = sqrt(r23324);
        double r23326 = r23319 - r23325;
        double r23327 = r23326 / r23321;
        return r23327;
}


double f_of(float a, float b_2F2, float c) {
        float r23328 = b_2F2;
        float r23329 = -1.958003386758646e+106;
        bool r23330 = r23328 <= r23329;
        float r23331 = 1/2;
        float r23332 = -r23331;
        float r23333 = c;
        float r23334 = r23333 / r23328;
        float r23335 = r23332 * r23334;
        float r23336 = 1;
        float r23337 = r23335 / r23336;
        float r23338 = -2.9453522019824976e-269;
        bool r23339 = r23328 <= r23338;
        float r23340 = a;
        float r23341 = r23333 * r23340;
        float r23342 = r23328 * r23328;
        float r23343 = r23340 * r23333;
        float r23344 = r23342 - r23343;
        float r23345 = sqrt(r23344);
        float r23346 = r23345 - r23328;
        float r23347 = r23341 / r23346;
        float r23348 = r23347 / r23340;
        float r23349 = 2.674727520834672e+36;
        bool r23350 = r23328 <= r23349;
        float r23351 = -r23328;
        float r23352 = r23351 - r23345;
        float r23353 = r23336 / r23340;
        float r23354 = r23352 * r23353;
        float r23355 = r23334 * r23331;
        float r23356 = r23328 / r23340;
        float r23357 = 2;
        float r23358 = r23356 * r23357;
        float r23359 = r23355 - r23358;
        float r23360 = r23350 ? r23354 : r23359;
        float r23361 = r23339 ? r23348 : r23360;
        float r23362 = r23330 ? r23337 : r23361;
        return r23362;
}

double f_od(double a, double b_2F2, double c) {
        double r23363 = b_2F2;
        double r23364 = -1.958003386758646e+106;
        bool r23365 = r23363 <= r23364;
        double r23366 = 1/2;
        double r23367 = -r23366;
        double r23368 = c;
        double r23369 = r23368 / r23363;
        double r23370 = r23367 * r23369;
        double r23371 = 1;
        double r23372 = r23370 / r23371;
        double r23373 = -2.9453522019824976e-269;
        bool r23374 = r23363 <= r23373;
        double r23375 = a;
        double r23376 = r23368 * r23375;
        double r23377 = r23363 * r23363;
        double r23378 = r23375 * r23368;
        double r23379 = r23377 - r23378;
        double r23380 = sqrt(r23379);
        double r23381 = r23380 - r23363;
        double r23382 = r23376 / r23381;
        double r23383 = r23382 / r23375;
        double r23384 = 2.674727520834672e+36;
        bool r23385 = r23363 <= r23384;
        double r23386 = -r23363;
        double r23387 = r23386 - r23380;
        double r23388 = r23371 / r23375;
        double r23389 = r23387 * r23388;
        double r23390 = r23369 * r23366;
        double r23391 = r23363 / r23375;
        double r23392 = 2;
        double r23393 = r23391 * r23392;
        double r23394 = r23390 - r23393;
        double r23395 = r23385 ? r23389 : r23394;
        double r23396 = r23374 ? r23383 : r23395;
        double r23397 = r23365 ? r23372 : r23396;
        return r23397;
}

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 r23398, r23399, r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
        mpfr_init(r23402);
        mpfr_init(r23403);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r23398, b_2F2, MPFR_RNDN);
        mpfr_neg(r23399, r23398, MPFR_RNDN);
        mpfr_mul(r23400, r23398, r23398, MPFR_RNDN);
        mpfr_set_d(r23401, a, MPFR_RNDN);
        mpfr_set_d(r23402, c, MPFR_RNDN);
        mpfr_mul(r23403, r23401, r23402, MPFR_RNDN);
        mpfr_sub(r23404, r23400, r23403, MPFR_RNDN);
        mpfr_sqrt(r23405, r23404, MPFR_RNDN);
        mpfr_sub(r23406, r23399, r23405, MPFR_RNDN);
        mpfr_div(r23407, r23406, r23401, MPFR_RNDN);
        return mpfr_get_d(r23407, MPFR_RNDN);
}

static mpfr_t r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419, r23420, r23421, r23422, r23423, r23424, r23425, r23426, r23427, r23428, r23429, r23430, r23431, r23432, r23433, r23434, r23435, r23436, r23437, r23438, r23439, r23440, r23441, r23442;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r23408);
        mpfr_init_set_str(r23409, "-1.958003386758646e+106", 10, MPFR_RNDN);
        mpfr_init(r23410);
        mpfr_init_set_str(r23411, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
        mpfr_init_set_str(r23416, "1", 10, MPFR_RNDN);
        mpfr_init(r23417);
        mpfr_init_set_str(r23418, "-2.9453522019824976e-269", 10, MPFR_RNDN);
        mpfr_init(r23419);
        mpfr_init(r23420);
        mpfr_init(r23421);
        mpfr_init(r23422);
        mpfr_init(r23423);
        mpfr_init(r23424);
        mpfr_init(r23425);
        mpfr_init(r23426);
        mpfr_init(r23427);
        mpfr_init(r23428);
        mpfr_init_set_str(r23429, "2.674727520834672e+36", 10, MPFR_RNDN);
        mpfr_init(r23430);
        mpfr_init(r23431);
        mpfr_init(r23432);
        mpfr_init(r23433);
        mpfr_init(r23434);
        mpfr_init(r23435);
        mpfr_init(r23436);
        mpfr_init_set_str(r23437, "2", 10, MPFR_RNDN);
        mpfr_init(r23438);
        mpfr_init(r23439);
        mpfr_init(r23440);
        mpfr_init(r23441);
        mpfr_init(r23442);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r23408, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r23410, mpfr_cmp(r23408, r23409) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r23412, r23411, MPFR_RNDN);
        mpfr_set_d(r23413, c, MPFR_RNDN);
        mpfr_div(r23414, r23413, r23408, MPFR_RNDN);
        mpfr_mul(r23415, r23412, r23414, MPFR_RNDN);
        ;
        mpfr_div(r23417, r23415, r23416, MPFR_RNDN);
        ;
        mpfr_set_si(r23419, mpfr_cmp(r23408, r23418) <= 0, MPFR_RNDN);
        mpfr_set_d(r23420, a, MPFR_RNDN);
        mpfr_mul(r23421, r23413, r23420, MPFR_RNDN);
        mpfr_mul(r23422, r23408, r23408, MPFR_RNDN);
        mpfr_mul(r23423, r23420, r23413, MPFR_RNDN);
        mpfr_sub(r23424, r23422, r23423, MPFR_RNDN);
        mpfr_sqrt(r23425, r23424, MPFR_RNDN);
        mpfr_sub(r23426, r23425, r23408, MPFR_RNDN);
        mpfr_div(r23427, r23421, r23426, MPFR_RNDN);
        mpfr_div(r23428, r23427, r23420, MPFR_RNDN);
        ;
        mpfr_set_si(r23430, mpfr_cmp(r23408, r23429) <= 0, MPFR_RNDN);
        mpfr_neg(r23431, r23408, MPFR_RNDN);
        mpfr_sub(r23432, r23431, r23425, MPFR_RNDN);
        mpfr_div(r23433, r23416, r23420, MPFR_RNDN);
        mpfr_mul(r23434, r23432, r23433, MPFR_RNDN);
        mpfr_mul(r23435, r23414, r23411, MPFR_RNDN);
        mpfr_div(r23436, r23408, r23420, MPFR_RNDN);
        ;
        mpfr_mul(r23438, r23436, r23437, MPFR_RNDN);
        mpfr_sub(r23439, r23435, r23438, MPFR_RNDN);
        if (mpfr_get_si(r23430, MPFR_RNDN)) { mpfr_set(r23440, r23434, MPFR_RNDN); } else { mpfr_set(r23440, r23439, MPFR_RNDN); };
        if (mpfr_get_si(r23419, MPFR_RNDN)) { mpfr_set(r23441, r23428, MPFR_RNDN); } else { mpfr_set(r23441, r23440, MPFR_RNDN); };
        if (mpfr_get_si(r23410, MPFR_RNDN)) { mpfr_set(r23442, r23417, MPFR_RNDN); } else { mpfr_set(r23442, r23441, MPFR_RNDN); };
        return mpfr_get_d(r23442, MPFR_RNDN);
}

static mpfr_t r23443, r23444, r23445, r23446, r23447, r23448, r23449, r23450, r23451, r23452, r23453, r23454, r23455, r23456, r23457, r23458, r23459, r23460, r23461, r23462, r23463, r23464, r23465, r23466, r23467, r23468, r23469, r23470, r23471, r23472, r23473, r23474, r23475, r23476, r23477;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r23443);
        mpfr_init_set_str(r23444, "-1.958003386758646e+106", 10, MPFR_RNDN);
        mpfr_init(r23445);
        mpfr_init_set_str(r23446, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23447);
        mpfr_init(r23448);
        mpfr_init(r23449);
        mpfr_init(r23450);
        mpfr_init_set_str(r23451, "1", 10, MPFR_RNDN);
        mpfr_init(r23452);
        mpfr_init_set_str(r23453, "-2.9453522019824976e-269", 10, MPFR_RNDN);
        mpfr_init(r23454);
        mpfr_init(r23455);
        mpfr_init(r23456);
        mpfr_init(r23457);
        mpfr_init(r23458);
        mpfr_init(r23459);
        mpfr_init(r23460);
        mpfr_init(r23461);
        mpfr_init(r23462);
        mpfr_init(r23463);
        mpfr_init_set_str(r23464, "2.674727520834672e+36", 10, MPFR_RNDN);
        mpfr_init(r23465);
        mpfr_init(r23466);
        mpfr_init(r23467);
        mpfr_init(r23468);
        mpfr_init(r23469);
        mpfr_init(r23470);
        mpfr_init(r23471);
        mpfr_init_set_str(r23472, "2", 10, MPFR_RNDN);
        mpfr_init(r23473);
        mpfr_init(r23474);
        mpfr_init(r23475);
        mpfr_init(r23476);
        mpfr_init(r23477);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r23443, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r23445, mpfr_cmp(r23443, r23444) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r23447, r23446, MPFR_RNDN);
        mpfr_set_d(r23448, c, MPFR_RNDN);
        mpfr_div(r23449, r23448, r23443, MPFR_RNDN);
        mpfr_mul(r23450, r23447, r23449, MPFR_RNDN);
        ;
        mpfr_div(r23452, r23450, r23451, MPFR_RNDN);
        ;
        mpfr_set_si(r23454, mpfr_cmp(r23443, r23453) <= 0, MPFR_RNDN);
        mpfr_set_d(r23455, a, MPFR_RNDN);
        mpfr_mul(r23456, r23448, r23455, MPFR_RNDN);
        mpfr_mul(r23457, r23443, r23443, MPFR_RNDN);
        mpfr_mul(r23458, r23455, r23448, MPFR_RNDN);
        mpfr_sub(r23459, r23457, r23458, MPFR_RNDN);
        mpfr_sqrt(r23460, r23459, MPFR_RNDN);
        mpfr_sub(r23461, r23460, r23443, MPFR_RNDN);
        mpfr_div(r23462, r23456, r23461, MPFR_RNDN);
        mpfr_div(r23463, r23462, r23455, MPFR_RNDN);
        ;
        mpfr_set_si(r23465, mpfr_cmp(r23443, r23464) <= 0, MPFR_RNDN);
        mpfr_neg(r23466, r23443, MPFR_RNDN);
        mpfr_sub(r23467, r23466, r23460, MPFR_RNDN);
        mpfr_div(r23468, r23451, r23455, MPFR_RNDN);
        mpfr_mul(r23469, r23467, r23468, MPFR_RNDN);
        mpfr_mul(r23470, r23449, r23446, MPFR_RNDN);
        mpfr_div(r23471, r23443, r23455, MPFR_RNDN);
        ;
        mpfr_mul(r23473, r23471, r23472, MPFR_RNDN);
        mpfr_sub(r23474, r23470, r23473, MPFR_RNDN);
        if (mpfr_get_si(r23465, MPFR_RNDN)) { mpfr_set(r23475, r23469, MPFR_RNDN); } else { mpfr_set(r23475, r23474, MPFR_RNDN); };
        if (mpfr_get_si(r23454, MPFR_RNDN)) { mpfr_set(r23476, r23463, MPFR_RNDN); } else { mpfr_set(r23476, r23475, MPFR_RNDN); };
        if (mpfr_get_si(r23445, MPFR_RNDN)) { mpfr_set(r23477, r23452, MPFR_RNDN); } else { mpfr_set(r23477, r23476, MPFR_RNDN); };
        return mpfr_get_d(r23477, MPFR_RNDN);
}