#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 r16167 = b_2F2;
        float r16168 = -r16167;
        float r16169 = r16167 * r16167;
        float r16170 = a;
        float r16171 = c;
        float r16172 = r16170 * r16171;
        float r16173 = r16169 - r16172;
        float r16174 = sqrt(r16173);
        float r16175 = r16168 - r16174;
        float r16176 = r16175 / r16170;
        return r16176;
}

double f_id(double a, double b_2F2, double c) {
        double r16177 = b_2F2;
        double r16178 = -r16177;
        double r16179 = r16177 * r16177;
        double r16180 = a;
        double r16181 = c;
        double r16182 = r16180 * r16181;
        double r16183 = r16179 - r16182;
        double r16184 = sqrt(r16183);
        double r16185 = r16178 - r16184;
        double r16186 = r16185 / r16180;
        return r16186;
}


double f_of(float a, float b_2F2, float c) {
        float r16187 = a;
        float r16188 = 1.0f;
        float r16189 = r16187 / r16188;
        float r16190 = c;
        float r16191 = b_2F2;
        float r16192 = -r16191;
        float r16193 = r16191 * r16191;
        float r16194 = r16187 * r16190;
        float r16195 = r16193 - r16194;
        float r16196 = sqrt(r16195);
        float r16197 = r16192 + r16196;
        float r16198 = r16190 / r16197;
        float r16199 = r16189 * r16198;
        float r16200 = r16199 / r16187;
        return r16200;
}

double f_od(double a, double b_2F2, double c) {
        double r16201 = a;
        double r16202 = 1.0;
        double r16203 = r16201 / r16202;
        double r16204 = c;
        double r16205 = b_2F2;
        double r16206 = -r16205;
        double r16207 = r16205 * r16205;
        double r16208 = r16201 * r16204;
        double r16209 = r16207 - r16208;
        double r16210 = sqrt(r16209);
        double r16211 = r16206 + r16210;
        double r16212 = r16204 / r16211;
        double r16213 = r16203 * r16212;
        double r16214 = r16213 / r16201;
        return r16214;
}

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 r16215, r16216, r16217, r16218, r16219, r16220, r16221, r16222, r16223, r16224;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16215);
        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);
}

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

static mpfr_t r16225, r16226, r16227, r16228, r16229, r16230, r16231, r16232, r16233, r16234, r16235, r16236, r16237, r16238;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16225);
        mpfr_init_set_str(r16226, "1", 10, MPFR_RNDN);
        mpfr_init(r16227);
        mpfr_init(r16228);
        mpfr_init(r16229);
        mpfr_init(r16230);
        mpfr_init(r16231);
        mpfr_init(r16232);
        mpfr_init(r16233);
        mpfr_init(r16234);
        mpfr_init(r16235);
        mpfr_init(r16236);
        mpfr_init(r16237);
        mpfr_init(r16238);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16225, a, MPFR_RNDN);
        ;
        mpfr_div(r16227, r16225, r16226, MPFR_RNDN);
        mpfr_set_d(r16228, c, MPFR_RNDN);
        mpfr_set_d(r16229, b_2F2, MPFR_RNDN);
        mpfr_neg(r16230, r16229, MPFR_RNDN);
        mpfr_sqr(r16231, r16229, MPFR_RNDN);
        mpfr_mul(r16232, r16225, r16228, MPFR_RNDN);
        mpfr_sub(r16233, r16231, r16232, MPFR_RNDN);
        mpfr_sqrt(r16234, r16233, MPFR_RNDN);
        mpfr_add(r16235, r16230, r16234, MPFR_RNDN);
        mpfr_div(r16236, r16228, r16235, MPFR_RNDN);
        mpfr_mul(r16237, r16227, r16236, MPFR_RNDN);
        mpfr_div(r16238, r16237, r16225, MPFR_RNDN);
        return mpfr_get_d(r16238, MPFR_RNDN);
}

static mpfr_t r16239, r16240, r16241, r16242, r16243, r16244, r16245, r16246, r16247, r16248, r16249, r16250, r16251, r16252;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16239);
        mpfr_init_set_str(r16240, "1", 10, MPFR_RNDN);
        mpfr_init(r16241);
        mpfr_init(r16242);
        mpfr_init(r16243);
        mpfr_init(r16244);
        mpfr_init(r16245);
        mpfr_init(r16246);
        mpfr_init(r16247);
        mpfr_init(r16248);
        mpfr_init(r16249);
        mpfr_init(r16250);
        mpfr_init(r16251);
        mpfr_init(r16252);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16239, a, MPFR_RNDN);
        ;
        mpfr_div(r16241, r16239, r16240, MPFR_RNDN);
        mpfr_set_d(r16242, c, MPFR_RNDN);
        mpfr_set_d(r16243, b_2F2, MPFR_RNDN);
        mpfr_neg(r16244, r16243, MPFR_RNDN);
        mpfr_sqr(r16245, r16243, MPFR_RNDN);
        mpfr_mul(r16246, r16239, r16242, MPFR_RNDN);
        mpfr_sub(r16247, r16245, r16246, MPFR_RNDN);
        mpfr_sqrt(r16248, r16247, MPFR_RNDN);
        mpfr_add(r16249, r16244, r16248, MPFR_RNDN);
        mpfr_div(r16250, r16242, r16249, MPFR_RNDN);
        mpfr_mul(r16251, r16241, r16250, MPFR_RNDN);
        mpfr_div(r16252, r16251, r16239, MPFR_RNDN);
        return mpfr_get_d(r16252, MPFR_RNDN);
}

