#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 r16113 = b_2F2;
        float r16114 = -r16113;
        float r16115 = r16113 * r16113;
        float r16116 = a;
        float r16117 = c;
        float r16118 = r16116 * r16117;
        float r16119 = r16115 - r16118;
        float r16120 = sqrt(r16119);
        float r16121 = r16114 - r16120;
        float r16122 = r16121 / r16116;
        return r16122;
}

double f_id(double a, double b_2F2, double c) {
        double r16123 = b_2F2;
        double r16124 = -r16123;
        double r16125 = r16123 * r16123;
        double r16126 = a;
        double r16127 = c;
        double r16128 = r16126 * r16127;
        double r16129 = r16125 - r16128;
        double r16130 = sqrt(r16129);
        double r16131 = r16124 - r16130;
        double r16132 = r16131 / r16126;
        return r16132;
}


double f_of(float a, float b_2F2, float c) {
        float r16133 = a;
        float r16134 = c;
        float r16135 = r16133 * r16134;
        float r16136 = b_2F2;
        float r16137 = -r16136;
        float r16138 = r16136 * r16136;
        float r16139 = r16138 - r16135;
        float r16140 = sqrt(r16139);
        float r16141 = r16137 + r16140;
        float r16142 = r16135 / r16141;
        float r16143 = r16142 / r16133;
        return r16143;
}

double f_od(double a, double b_2F2, double c) {
        double r16144 = a;
        double r16145 = c;
        double r16146 = r16144 * r16145;
        double r16147 = b_2F2;
        double r16148 = -r16147;
        double r16149 = r16147 * r16147;
        double r16150 = r16149 - r16146;
        double r16151 = sqrt(r16150);
        double r16152 = r16148 + r16151;
        double r16153 = r16146 / r16152;
        double r16154 = r16153 / r16144;
        return r16154;
}

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 r16155, r16156, r16157, r16158, r16159, r16160, r16161, r16162, r16163, r16164;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16155);
        mpfr_init(r16156);
        mpfr_init(r16157);
        mpfr_init(r16158);
        mpfr_init(r16159);
        mpfr_init(r16160);
        mpfr_init(r16161);
        mpfr_init(r16162);
        mpfr_init(r16163);
        mpfr_init(r16164);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16155, b_2F2, MPFR_RNDN);
        mpfr_neg(r16156, r16155, MPFR_RNDN);
        mpfr_sqr(r16157, r16155, MPFR_RNDN);
        mpfr_set_d(r16158, a, MPFR_RNDN);
        mpfr_set_d(r16159, c, MPFR_RNDN);
        mpfr_mul(r16160, r16158, r16159, MPFR_RNDN);
        mpfr_sub(r16161, r16157, r16160, MPFR_RNDN);
        mpfr_sqrt(r16162, r16161, MPFR_RNDN);
        mpfr_sub(r16163, r16156, r16162, MPFR_RNDN);
        mpfr_div(r16164, r16163, r16158, MPFR_RNDN);
        return mpfr_get_d(r16164, MPFR_RNDN);
}

static mpfr_t r16165, r16166, r16167, r16168, r16169, r16170, r16171, r16172, r16173, r16174, r16175;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16165);
        mpfr_init(r16166);
        mpfr_init(r16167);
        mpfr_init(r16168);
        mpfr_init(r16169);
        mpfr_init(r16170);
        mpfr_init(r16171);
        mpfr_init(r16172);
        mpfr_init(r16173);
        mpfr_init(r16174);
        mpfr_init(r16175);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16165, a, MPFR_RNDN);
        mpfr_set_d(r16166, c, MPFR_RNDN);
        mpfr_mul(r16167, r16165, r16166, MPFR_RNDN);
        mpfr_set_d(r16168, b_2F2, MPFR_RNDN);
        mpfr_neg(r16169, r16168, MPFR_RNDN);
        mpfr_sqr(r16170, r16168, MPFR_RNDN);
        mpfr_sub(r16171, r16170, r16167, MPFR_RNDN);
        mpfr_sqrt(r16172, r16171, MPFR_RNDN);
        mpfr_add(r16173, r16169, r16172, MPFR_RNDN);
        mpfr_div(r16174, r16167, r16173, MPFR_RNDN);
        mpfr_div(r16175, r16174, r16165, MPFR_RNDN);
        return mpfr_get_d(r16175, MPFR_RNDN);
}

static mpfr_t r16176, r16177, r16178, r16179, r16180, r16181, r16182, r16183, r16184, r16185, r16186;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16176);
        mpfr_init(r16177);
        mpfr_init(r16178);
        mpfr_init(r16179);
        mpfr_init(r16180);
        mpfr_init(r16181);
        mpfr_init(r16182);
        mpfr_init(r16183);
        mpfr_init(r16184);
        mpfr_init(r16185);
        mpfr_init(r16186);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16176, a, MPFR_RNDN);
        mpfr_set_d(r16177, c, MPFR_RNDN);
        mpfr_mul(r16178, r16176, r16177, MPFR_RNDN);
        mpfr_set_d(r16179, b_2F2, MPFR_RNDN);
        mpfr_neg(r16180, r16179, MPFR_RNDN);
        mpfr_sqr(r16181, r16179, MPFR_RNDN);
        mpfr_sub(r16182, r16181, r16178, MPFR_RNDN);
        mpfr_sqrt(r16183, r16182, MPFR_RNDN);
        mpfr_add(r16184, r16180, r16183, MPFR_RNDN);
        mpfr_div(r16185, r16178, r16184, MPFR_RNDN);
        mpfr_div(r16186, r16185, r16176, MPFR_RNDN);
        return mpfr_get_d(r16186, MPFR_RNDN);
}