#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 r16071 = b_2F2;
        float r16072 = -r16071;
        float r16073 = r16071 * r16071;
        float r16074 = a;
        float r16075 = c;
        float r16076 = r16074 * r16075;
        float r16077 = r16073 - r16076;
        float r16078 = sqrt(r16077);
        float r16079 = r16072 - r16078;
        float r16080 = r16079 / r16074;
        return r16080;
}

double f_id(double a, double b_2F2, double c) {
        double r16081 = b_2F2;
        double r16082 = -r16081;
        double r16083 = r16081 * r16081;
        double r16084 = a;
        double r16085 = c;
        double r16086 = r16084 * r16085;
        double r16087 = r16083 - r16086;
        double r16088 = sqrt(r16087);
        double r16089 = r16082 - r16088;
        double r16090 = r16089 / r16084;
        return r16090;
}


double f_of(float a, float b_2F2, float c) {
        float r16091 = a;
        float r16092 = c;
        float r16093 = r16091 * r16092;
        float r16094 = b_2F2;
        float r16095 = -r16094;
        float r16096 = r16094 * r16094;
        float r16097 = r16096 - r16093;
        float r16098 = sqrt(r16097);
        float r16099 = r16095 + r16098;
        float r16100 = r16093 / r16099;
        float r16101 = r16100 / r16091;
        return r16101;
}

double f_od(double a, double b_2F2, double c) {
        double r16102 = a;
        double r16103 = c;
        double r16104 = r16102 * r16103;
        double r16105 = b_2F2;
        double r16106 = -r16105;
        double r16107 = r16105 * r16105;
        double r16108 = r16107 - r16104;
        double r16109 = sqrt(r16108);
        double r16110 = r16106 + r16109;
        double r16111 = r16104 / r16110;
        double r16112 = r16111 / r16102;
        return r16112;
}

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 r16113, r16114, r16115, r16116, r16117, r16118, r16119, r16120, r16121, r16122;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16113);
        mpfr_init(r16114);
        mpfr_init(r16115);
        mpfr_init(r16116);
        mpfr_init(r16117);
        mpfr_init(r16118);
        mpfr_init(r16119);
        mpfr_init(r16120);
        mpfr_init(r16121);
        mpfr_init(r16122);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16113, b_2F2, MPFR_RNDN);
        mpfr_neg(r16114, r16113, MPFR_RNDN);
        mpfr_sqr(r16115, r16113, MPFR_RNDN);
        mpfr_set_d(r16116, a, MPFR_RNDN);
        mpfr_set_d(r16117, c, MPFR_RNDN);
        mpfr_mul(r16118, r16116, r16117, MPFR_RNDN);
        mpfr_sub(r16119, r16115, r16118, MPFR_RNDN);
        mpfr_sqrt(r16120, r16119, MPFR_RNDN);
        mpfr_sub(r16121, r16114, r16120, MPFR_RNDN);
        mpfr_div(r16122, r16121, r16116, MPFR_RNDN);
        return mpfr_get_d(r16122, MPFR_RNDN);
}

static mpfr_t r16123, r16124, r16125, r16126, r16127, r16128, r16129, r16130, r16131, r16132, r16133;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16123);
        mpfr_init(r16124);
        mpfr_init(r16125);
        mpfr_init(r16126);
        mpfr_init(r16127);
        mpfr_init(r16128);
        mpfr_init(r16129);
        mpfr_init(r16130);
        mpfr_init(r16131);
        mpfr_init(r16132);
        mpfr_init(r16133);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16123, a, MPFR_RNDN);
        mpfr_set_d(r16124, c, MPFR_RNDN);
        mpfr_mul(r16125, r16123, r16124, MPFR_RNDN);
        mpfr_set_d(r16126, b_2F2, MPFR_RNDN);
        mpfr_neg(r16127, r16126, MPFR_RNDN);
        mpfr_sqr(r16128, r16126, MPFR_RNDN);
        mpfr_sub(r16129, r16128, r16125, MPFR_RNDN);
        mpfr_sqrt(r16130, r16129, MPFR_RNDN);
        mpfr_add(r16131, r16127, r16130, MPFR_RNDN);
        mpfr_div(r16132, r16125, r16131, MPFR_RNDN);
        mpfr_div(r16133, r16132, r16123, MPFR_RNDN);
        return mpfr_get_d(r16133, MPFR_RNDN);
}

static mpfr_t r16134, r16135, r16136, r16137, r16138, r16139, r16140, r16141, r16142, r16143, r16144;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16134);
        mpfr_init(r16135);
        mpfr_init(r16136);
        mpfr_init(r16137);
        mpfr_init(r16138);
        mpfr_init(r16139);
        mpfr_init(r16140);
        mpfr_init(r16141);
        mpfr_init(r16142);
        mpfr_init(r16143);
        mpfr_init(r16144);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16134, a, MPFR_RNDN);
        mpfr_set_d(r16135, c, MPFR_RNDN);
        mpfr_mul(r16136, r16134, r16135, MPFR_RNDN);
        mpfr_set_d(r16137, b_2F2, MPFR_RNDN);
        mpfr_neg(r16138, r16137, MPFR_RNDN);
        mpfr_sqr(r16139, r16137, MPFR_RNDN);
        mpfr_sub(r16140, r16139, r16136, MPFR_RNDN);
        mpfr_sqrt(r16141, r16140, MPFR_RNDN);
        mpfr_add(r16142, r16138, r16141, MPFR_RNDN);
        mpfr_div(r16143, r16136, r16142, MPFR_RNDN);
        mpfr_div(r16144, r16143, r16134, MPFR_RNDN);
        return mpfr_get_d(r16144, MPFR_RNDN);
}