#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 r22288 = b_2F2;
        float r22289 = -r22288;
        float r22290 = r22288 * r22288;
        float r22291 = a;
        float r22292 = c;
        float r22293 = r22291 * r22292;
        float r22294 = r22290 - r22293;
        float r22295 = sqrt(r22294);
        float r22296 = r22289 - r22295;
        float r22297 = r22296 / r22291;
        return r22297;
}

double f_id(double a, double b_2F2, double c) {
        double r22298 = b_2F2;
        double r22299 = -r22298;
        double r22300 = r22298 * r22298;
        double r22301 = a;
        double r22302 = c;
        double r22303 = r22301 * r22302;
        double r22304 = r22300 - r22303;
        double r22305 = sqrt(r22304);
        double r22306 = r22299 - r22305;
        double r22307 = r22306 / r22301;
        return r22307;
}


double f_of(float a, float b_2F2, float c) {
        float r22308 = b_2F2;
        float r22309 = -1.2181492333459528e-63;
        bool r22310 = r22308 <= r22309;
        float r22311 = c;
        float r22312 = 1/2;
        float r22313 = a;
        float r22314 = r22312 * r22313;
        float r22315 = r22308 / r22311;
        float r22316 = r22314 / r22315;
        float r22317 = r22308 + r22308;
        float r22318 = r22316 - r22317;
        float r22319 = r22311 / r22318;
        float r22320 = 9.622889278670843e+25;
        bool r22321 = r22308 <= r22320;
        float r22322 = 1;
        float r22323 = -r22308;
        float r22324 = r22308 * r22308;
        float r22325 = r22313 * r22311;
        float r22326 = r22324 - r22325;
        float r22327 = sqrt(r22326);
        float r22328 = r22323 - r22327;
        float r22329 = r22313 / r22328;
        float r22330 = r22322 / r22329;
        float r22331 = r22311 / r22308;
        float r22332 = r22308 / r22313;
        float r22333 = -r22332;
        float r22334 = r22333 - r22332;
        float r22335 = fma(r22331, r22312, r22334);
        float r22336 = r22321 ? r22330 : r22335;
        float r22337 = r22310 ? r22319 : r22336;
        return r22337;
}

double f_od(double a, double b_2F2, double c) {
        double r22338 = b_2F2;
        double r22339 = -1.2181492333459528e-63;
        bool r22340 = r22338 <= r22339;
        double r22341 = c;
        double r22342 = 1/2;
        double r22343 = a;
        double r22344 = r22342 * r22343;
        double r22345 = r22338 / r22341;
        double r22346 = r22344 / r22345;
        double r22347 = r22338 + r22338;
        double r22348 = r22346 - r22347;
        double r22349 = r22341 / r22348;
        double r22350 = 9.622889278670843e+25;
        bool r22351 = r22338 <= r22350;
        double r22352 = 1;
        double r22353 = -r22338;
        double r22354 = r22338 * r22338;
        double r22355 = r22343 * r22341;
        double r22356 = r22354 - r22355;
        double r22357 = sqrt(r22356);
        double r22358 = r22353 - r22357;
        double r22359 = r22343 / r22358;
        double r22360 = r22352 / r22359;
        double r22361 = r22341 / r22338;
        double r22362 = r22338 / r22343;
        double r22363 = -r22362;
        double r22364 = r22363 - r22362;
        double r22365 = fma(r22361, r22342, r22364);
        double r22366 = r22351 ? r22360 : r22365;
        double r22367 = r22340 ? r22349 : r22366;
        return r22367;
}

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 r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
        mpfr_init(r22375);
        mpfr_init(r22376);
        mpfr_init(r22377);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r22368, b_2F2, MPFR_RNDN);
        mpfr_neg(r22369, r22368, MPFR_RNDN);
        mpfr_mul(r22370, r22368, r22368, MPFR_RNDN);
        mpfr_set_d(r22371, a, MPFR_RNDN);
        mpfr_set_d(r22372, c, MPFR_RNDN);
        mpfr_mul(r22373, r22371, r22372, MPFR_RNDN);
        mpfr_sub(r22374, r22370, r22373, MPFR_RNDN);
        mpfr_sqrt(r22375, r22374, MPFR_RNDN);
        mpfr_sub(r22376, r22369, r22375, MPFR_RNDN);
        mpfr_div(r22377, r22376, r22371, MPFR_RNDN);
        return mpfr_get_d(r22377, MPFR_RNDN);
}

static mpfr_t r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22378);
        mpfr_init_set_str(r22379, "-1.2181492333459528e-63", 10, MPFR_RNDN);
        mpfr_init(r22380);
        mpfr_init(r22381);
        mpfr_init_set_str(r22382, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init_set_str(r22390, "9.622889278670843e+25", 10, MPFR_RNDN);
        mpfr_init(r22391);
        mpfr_init_set_str(r22392, "1", 10, MPFR_RNDN);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r22378, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22380, mpfr_cmp(r22378, r22379) <= 0, MPFR_RNDN);
        mpfr_set_d(r22381, c, MPFR_RNDN);
        ;
        mpfr_set_d(r22383, a, MPFR_RNDN);
        mpfr_mul(r22384, r22382, r22383, MPFR_RNDN);
        mpfr_div(r22385, r22378, r22381, MPFR_RNDN);
        mpfr_div(r22386, r22384, r22385, MPFR_RNDN);
        mpfr_add(r22387, r22378, r22378, MPFR_RNDN);
        mpfr_sub(r22388, r22386, r22387, MPFR_RNDN);
        mpfr_div(r22389, r22381, r22388, MPFR_RNDN);
        ;
        mpfr_set_si(r22391, mpfr_cmp(r22378, r22390) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r22393, r22378, MPFR_RNDN);
        mpfr_mul(r22394, r22378, r22378, MPFR_RNDN);
        mpfr_mul(r22395, r22383, r22381, MPFR_RNDN);
        mpfr_sub(r22396, r22394, r22395, MPFR_RNDN);
        mpfr_sqrt(r22397, r22396, MPFR_RNDN);
        mpfr_sub(r22398, r22393, r22397, MPFR_RNDN);
        mpfr_div(r22399, r22383, r22398, MPFR_RNDN);
        mpfr_div(r22400, r22392, r22399, MPFR_RNDN);
        mpfr_div(r22401, r22381, r22378, MPFR_RNDN);
        mpfr_div(r22402, r22378, r22383, MPFR_RNDN);
        mpfr_neg(r22403, r22402, MPFR_RNDN);
        mpfr_sub(r22404, r22403, r22402, MPFR_RNDN);
        mpfr_fma(r22405, r22401, r22382, r22404, MPFR_RNDN);
        if (mpfr_get_si(r22391, MPFR_RNDN)) { mpfr_set(r22406, r22400, MPFR_RNDN); } else { mpfr_set(r22406, r22405, MPFR_RNDN); };
        if (mpfr_get_si(r22380, MPFR_RNDN)) { mpfr_set(r22407, r22389, MPFR_RNDN); } else { mpfr_set(r22407, r22406, MPFR_RNDN); };
        return mpfr_get_d(r22407, MPFR_RNDN);
}

static mpfr_t r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22408);
        mpfr_init_set_str(r22409, "-1.2181492333459528e-63", 10, MPFR_RNDN);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init_set_str(r22412, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init_set_str(r22420, "9.622889278670843e+25", 10, MPFR_RNDN);
        mpfr_init(r22421);
        mpfr_init_set_str(r22422, "1", 10, MPFR_RNDN);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r22408, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22410, mpfr_cmp(r22408, r22409) <= 0, MPFR_RNDN);
        mpfr_set_d(r22411, c, MPFR_RNDN);
        ;
        mpfr_set_d(r22413, a, MPFR_RNDN);
        mpfr_mul(r22414, r22412, r22413, MPFR_RNDN);
        mpfr_div(r22415, r22408, r22411, MPFR_RNDN);
        mpfr_div(r22416, r22414, r22415, MPFR_RNDN);
        mpfr_add(r22417, r22408, r22408, MPFR_RNDN);
        mpfr_sub(r22418, r22416, r22417, MPFR_RNDN);
        mpfr_div(r22419, r22411, r22418, MPFR_RNDN);
        ;
        mpfr_set_si(r22421, mpfr_cmp(r22408, r22420) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r22423, r22408, MPFR_RNDN);
        mpfr_mul(r22424, r22408, r22408, MPFR_RNDN);
        mpfr_mul(r22425, r22413, r22411, MPFR_RNDN);
        mpfr_sub(r22426, r22424, r22425, MPFR_RNDN);
        mpfr_sqrt(r22427, r22426, MPFR_RNDN);
        mpfr_sub(r22428, r22423, r22427, MPFR_RNDN);
        mpfr_div(r22429, r22413, r22428, MPFR_RNDN);
        mpfr_div(r22430, r22422, r22429, MPFR_RNDN);
        mpfr_div(r22431, r22411, r22408, MPFR_RNDN);
        mpfr_div(r22432, r22408, r22413, MPFR_RNDN);
        mpfr_neg(r22433, r22432, MPFR_RNDN);
        mpfr_sub(r22434, r22433, r22432, MPFR_RNDN);
        mpfr_fma(r22435, r22431, r22412, r22434, MPFR_RNDN);
        if (mpfr_get_si(r22421, MPFR_RNDN)) { mpfr_set(r22436, r22430, MPFR_RNDN); } else { mpfr_set(r22436, r22435, MPFR_RNDN); };
        if (mpfr_get_si(r22410, MPFR_RNDN)) { mpfr_set(r22437, r22419, MPFR_RNDN); } else { mpfr_set(r22437, r22436, MPFR_RNDN); };
        return mpfr_get_d(r22437, MPFR_RNDN);
}