#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 r16142 = b_2F2;
        float r16143 = -r16142;
        float r16144 = r16142 * r16142;
        float r16145 = a;
        float r16146 = c;
        float r16147 = r16145 * r16146;
        float r16148 = r16144 - r16147;
        float r16149 = sqrt(r16148);
        float r16150 = r16143 - r16149;
        float r16151 = r16150 / r16145;
        return r16151;
}

double f_id(double a, double b_2F2, double c) {
        double r16152 = b_2F2;
        double r16153 = -r16152;
        double r16154 = r16152 * r16152;
        double r16155 = a;
        double r16156 = c;
        double r16157 = r16155 * r16156;
        double r16158 = r16154 - r16157;
        double r16159 = sqrt(r16158);
        double r16160 = r16153 - r16159;
        double r16161 = r16160 / r16155;
        return r16161;
}


double f_of(float a, float b_2F2, float c) {
        float r16162 = a;
        float r16163 = 1.0f;
        float r16164 = r16162 / r16163;
        float r16165 = c;
        float r16166 = b_2F2;
        float r16167 = -r16166;
        float r16168 = r16166 * r16166;
        float r16169 = r16162 * r16165;
        float r16170 = r16168 - r16169;
        float r16171 = sqrt(r16170);
        float r16172 = r16167 + r16171;
        float r16173 = r16165 / r16172;
        float r16174 = r16164 * r16173;
        float r16175 = r16174 / r16162;
        return r16175;
}

double f_od(double a, double b_2F2, double c) {
        double r16176 = a;
        double r16177 = 1.0;
        double r16178 = r16176 / r16177;
        double r16179 = c;
        double r16180 = b_2F2;
        double r16181 = -r16180;
        double r16182 = r16180 * r16180;
        double r16183 = r16176 * r16179;
        double r16184 = r16182 - r16183;
        double r16185 = sqrt(r16184);
        double r16186 = r16181 + r16185;
        double r16187 = r16179 / r16186;
        double r16188 = r16178 * r16187;
        double r16189 = r16188 / r16176;
        return r16189;
}

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 r16190, r16191, r16192, r16193, r16194, r16195, r16196, r16197, r16198, r16199;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16190);
        mpfr_init(r16191);
        mpfr_init(r16192);
        mpfr_init(r16193);
        mpfr_init(r16194);
        mpfr_init(r16195);
        mpfr_init(r16196);
        mpfr_init(r16197);
        mpfr_init(r16198);
        mpfr_init(r16199);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16190, b_2F2, MPFR_RNDN);
        mpfr_neg(r16191, r16190, MPFR_RNDN);
        mpfr_sqr(r16192, r16190, MPFR_RNDN);
        mpfr_set_d(r16193, a, MPFR_RNDN);
        mpfr_set_d(r16194, c, MPFR_RNDN);
        mpfr_mul(r16195, r16193, r16194, MPFR_RNDN);
        mpfr_sub(r16196, r16192, r16195, MPFR_RNDN);
        mpfr_sqrt(r16197, r16196, MPFR_RNDN);
        mpfr_sub(r16198, r16191, r16197, MPFR_RNDN);
        mpfr_div(r16199, r16198, r16193, MPFR_RNDN);
        return mpfr_get_d(r16199, MPFR_RNDN);
}

static mpfr_t r16200, r16201, r16202, r16203, r16204, r16205, r16206, r16207, r16208, r16209, r16210, r16211, r16212, r16213;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16200);
        mpfr_init_set_str(r16201, "1", 10, MPFR_RNDN);
        mpfr_init(r16202);
        mpfr_init(r16203);
        mpfr_init(r16204);
        mpfr_init(r16205);
        mpfr_init(r16206);
        mpfr_init(r16207);
        mpfr_init(r16208);
        mpfr_init(r16209);
        mpfr_init(r16210);
        mpfr_init(r16211);
        mpfr_init(r16212);
        mpfr_init(r16213);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16200, a, MPFR_RNDN);
        ;
        mpfr_div(r16202, r16200, r16201, MPFR_RNDN);
        mpfr_set_d(r16203, c, MPFR_RNDN);
        mpfr_set_d(r16204, b_2F2, MPFR_RNDN);
        mpfr_neg(r16205, r16204, MPFR_RNDN);
        mpfr_sqr(r16206, r16204, MPFR_RNDN);
        mpfr_mul(r16207, r16200, r16203, MPFR_RNDN);
        mpfr_sub(r16208, r16206, r16207, MPFR_RNDN);
        mpfr_sqrt(r16209, r16208, MPFR_RNDN);
        mpfr_add(r16210, r16205, r16209, MPFR_RNDN);
        mpfr_div(r16211, r16203, r16210, MPFR_RNDN);
        mpfr_mul(r16212, r16202, r16211, MPFR_RNDN);
        mpfr_div(r16213, r16212, r16200, MPFR_RNDN);
        return mpfr_get_d(r16213, MPFR_RNDN);
}

static mpfr_t r16214, r16215, r16216, r16217, r16218, r16219, r16220, r16221, r16222, r16223, r16224, r16225, r16226, r16227;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16214);
        mpfr_init_set_str(r16215, "1", 10, MPFR_RNDN);
        mpfr_init(r16216);
        mpfr_init(r16217);
        mpfr_init(r16218);
        mpfr_init(r16219);
        mpfr_init(r16220);
        mpfr_init(r16221);
        mpfr_init(r16222);
        mpfr_init(r16223);
        mpfr_init(r16224);
        mpfr_init(r16225);
        mpfr_init(r16226);
        mpfr_init(r16227);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16214, a, MPFR_RNDN);
        ;
        mpfr_div(r16216, r16214, r16215, MPFR_RNDN);
        mpfr_set_d(r16217, c, MPFR_RNDN);
        mpfr_set_d(r16218, b_2F2, MPFR_RNDN);
        mpfr_neg(r16219, r16218, MPFR_RNDN);
        mpfr_sqr(r16220, r16218, MPFR_RNDN);
        mpfr_mul(r16221, r16214, r16217, MPFR_RNDN);
        mpfr_sub(r16222, r16220, r16221, MPFR_RNDN);
        mpfr_sqrt(r16223, r16222, MPFR_RNDN);
        mpfr_add(r16224, r16219, r16223, MPFR_RNDN);
        mpfr_div(r16225, r16217, r16224, MPFR_RNDN);
        mpfr_mul(r16226, r16216, r16225, MPFR_RNDN);
        mpfr_div(r16227, r16226, r16214, MPFR_RNDN);
        return mpfr_get_d(r16227, MPFR_RNDN);
}