#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 r16198 = b_2F2;
        float r16199 = -r16198;
        float r16200 = r16198 * r16198;
        float r16201 = a;
        float r16202 = c;
        float r16203 = r16201 * r16202;
        float r16204 = r16200 - r16203;
        float r16205 = sqrt(r16204);
        float r16206 = r16199 - r16205;
        float r16207 = r16206 / r16201;
        return r16207;
}

double f_id(double a, double b_2F2, double c) {
        double r16208 = b_2F2;
        double r16209 = -r16208;
        double r16210 = r16208 * r16208;
        double r16211 = a;
        double r16212 = c;
        double r16213 = r16211 * r16212;
        double r16214 = r16210 - r16213;
        double r16215 = sqrt(r16214);
        double r16216 = r16209 - r16215;
        double r16217 = r16216 / r16211;
        return r16217;
}


double f_of(float a, float b_2F2, float c) {
        float r16218 = a;
        float r16219 = 1.0f;
        float r16220 = r16218 / r16219;
        float r16221 = c;
        float r16222 = b_2F2;
        float r16223 = -r16222;
        float r16224 = r16222 * r16222;
        float r16225 = r16218 * r16221;
        float r16226 = r16224 - r16225;
        float r16227 = sqrt(r16226);
        float r16228 = r16223 + r16227;
        float r16229 = r16221 / r16228;
        float r16230 = r16220 * r16229;
        float r16231 = r16230 / r16218;
        return r16231;
}

double f_od(double a, double b_2F2, double c) {
        double r16232 = a;
        double r16233 = 1.0;
        double r16234 = r16232 / r16233;
        double r16235 = c;
        double r16236 = b_2F2;
        double r16237 = -r16236;
        double r16238 = r16236 * r16236;
        double r16239 = r16232 * r16235;
        double r16240 = r16238 - r16239;
        double r16241 = sqrt(r16240);
        double r16242 = r16237 + r16241;
        double r16243 = r16235 / r16242;
        double r16244 = r16234 * r16243;
        double r16245 = r16244 / r16232;
        return r16245;
}

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 r16246, r16247, r16248, r16249, r16250, r16251, r16252, r16253, r16254, r16255;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16246);
        mpfr_init(r16247);
        mpfr_init(r16248);
        mpfr_init(r16249);
        mpfr_init(r16250);
        mpfr_init(r16251);
        mpfr_init(r16252);
        mpfr_init(r16253);
        mpfr_init(r16254);
        mpfr_init(r16255);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16246, b_2F2, MPFR_RNDN);
        mpfr_neg(r16247, r16246, MPFR_RNDN);
        mpfr_sqr(r16248, r16246, MPFR_RNDN);
        mpfr_set_d(r16249, a, MPFR_RNDN);
        mpfr_set_d(r16250, c, MPFR_RNDN);
        mpfr_mul(r16251, r16249, r16250, MPFR_RNDN);
        mpfr_sub(r16252, r16248, r16251, MPFR_RNDN);
        mpfr_sqrt(r16253, r16252, MPFR_RNDN);
        mpfr_sub(r16254, r16247, r16253, MPFR_RNDN);
        mpfr_div(r16255, r16254, r16249, MPFR_RNDN);
        return mpfr_get_d(r16255, MPFR_RNDN);
}

static mpfr_t r16256, r16257, r16258, r16259, r16260, r16261, r16262, r16263, r16264, r16265, r16266, r16267, r16268, r16269;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16256);
        mpfr_init_set_str(r16257, "1", 10, MPFR_RNDN);
        mpfr_init(r16258);
        mpfr_init(r16259);
        mpfr_init(r16260);
        mpfr_init(r16261);
        mpfr_init(r16262);
        mpfr_init(r16263);
        mpfr_init(r16264);
        mpfr_init(r16265);
        mpfr_init(r16266);
        mpfr_init(r16267);
        mpfr_init(r16268);
        mpfr_init(r16269);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16256, a, MPFR_RNDN);
        ;
        mpfr_div(r16258, r16256, r16257, MPFR_RNDN);
        mpfr_set_d(r16259, c, MPFR_RNDN);
        mpfr_set_d(r16260, b_2F2, MPFR_RNDN);
        mpfr_neg(r16261, r16260, MPFR_RNDN);
        mpfr_sqr(r16262, r16260, MPFR_RNDN);
        mpfr_mul(r16263, r16256, r16259, MPFR_RNDN);
        mpfr_sub(r16264, r16262, r16263, MPFR_RNDN);
        mpfr_sqrt(r16265, r16264, MPFR_RNDN);
        mpfr_add(r16266, r16261, r16265, MPFR_RNDN);
        mpfr_div(r16267, r16259, r16266, MPFR_RNDN);
        mpfr_mul(r16268, r16258, r16267, MPFR_RNDN);
        mpfr_div(r16269, r16268, r16256, MPFR_RNDN);
        return mpfr_get_d(r16269, MPFR_RNDN);
}

static mpfr_t r16270, r16271, r16272, r16273, r16274, r16275, r16276, r16277, r16278, r16279, r16280, r16281, r16282, r16283;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16270);
        mpfr_init_set_str(r16271, "1", 10, MPFR_RNDN);
        mpfr_init(r16272);
        mpfr_init(r16273);
        mpfr_init(r16274);
        mpfr_init(r16275);
        mpfr_init(r16276);
        mpfr_init(r16277);
        mpfr_init(r16278);
        mpfr_init(r16279);
        mpfr_init(r16280);
        mpfr_init(r16281);
        mpfr_init(r16282);
        mpfr_init(r16283);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16270, a, MPFR_RNDN);
        ;
        mpfr_div(r16272, r16270, r16271, MPFR_RNDN);
        mpfr_set_d(r16273, c, MPFR_RNDN);
        mpfr_set_d(r16274, b_2F2, MPFR_RNDN);
        mpfr_neg(r16275, r16274, MPFR_RNDN);
        mpfr_sqr(r16276, r16274, MPFR_RNDN);
        mpfr_mul(r16277, r16270, r16273, MPFR_RNDN);
        mpfr_sub(r16278, r16276, r16277, MPFR_RNDN);
        mpfr_sqrt(r16279, r16278, MPFR_RNDN);
        mpfr_add(r16280, r16275, r16279, MPFR_RNDN);
        mpfr_div(r16281, r16273, r16280, MPFR_RNDN);
        mpfr_mul(r16282, r16272, r16281, MPFR_RNDN);
        mpfr_div(r16283, r16282, r16270, MPFR_RNDN);
        return mpfr_get_d(r16283, MPFR_RNDN);
}