#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 r15909 = b_2F2;
        float r15910 = -r15909;
        float r15911 = r15909 * r15909;
        float r15912 = a;
        float r15913 = c;
        float r15914 = r15912 * r15913;
        float r15915 = r15911 - r15914;
        float r15916 = sqrt(r15915);
        float r15917 = r15910 - r15916;
        float r15918 = r15917 / r15912;
        return r15918;
}

double f_id(double a, double b_2F2, double c) {
        double r15919 = b_2F2;
        double r15920 = -r15919;
        double r15921 = r15919 * r15919;
        double r15922 = a;
        double r15923 = c;
        double r15924 = r15922 * r15923;
        double r15925 = r15921 - r15924;
        double r15926 = sqrt(r15925);
        double r15927 = r15920 - r15926;
        double r15928 = r15927 / r15922;
        return r15928;
}


double f_of(float a, float b_2F2, float c) {
        float r15929 = a;
        float r15930 = c;
        float r15931 = r15929 * r15930;
        float r15932 = b_2F2;
        float r15933 = -r15932;
        float r15934 = r15932 * r15932;
        float r15935 = r15934 - r15931;
        float r15936 = sqrt(r15935);
        float r15937 = r15933 + r15936;
        float r15938 = r15931 / r15937;
        float r15939 = r15938 / r15929;
        return r15939;
}

double f_od(double a, double b_2F2, double c) {
        double r15940 = a;
        double r15941 = c;
        double r15942 = r15940 * r15941;
        double r15943 = b_2F2;
        double r15944 = -r15943;
        double r15945 = r15943 * r15943;
        double r15946 = r15945 - r15942;
        double r15947 = sqrt(r15946);
        double r15948 = r15944 + r15947;
        double r15949 = r15942 / r15948;
        double r15950 = r15949 / r15940;
        return r15950;
}

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 r15951, r15952, r15953, r15954, r15955, r15956, r15957, r15958, r15959, r15960;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15951);
        mpfr_init(r15952);
        mpfr_init(r15953);
        mpfr_init(r15954);
        mpfr_init(r15955);
        mpfr_init(r15956);
        mpfr_init(r15957);
        mpfr_init(r15958);
        mpfr_init(r15959);
        mpfr_init(r15960);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r15951, b_2F2, MPFR_RNDN);
        mpfr_neg(r15952, r15951, MPFR_RNDN);
        mpfr_sqr(r15953, r15951, MPFR_RNDN);
        mpfr_set_d(r15954, a, MPFR_RNDN);
        mpfr_set_d(r15955, c, MPFR_RNDN);
        mpfr_mul(r15956, r15954, r15955, MPFR_RNDN);
        mpfr_sub(r15957, r15953, r15956, MPFR_RNDN);
        mpfr_sqrt(r15958, r15957, MPFR_RNDN);
        mpfr_sub(r15959, r15952, r15958, MPFR_RNDN);
        mpfr_div(r15960, r15959, r15954, MPFR_RNDN);
        return mpfr_get_d(r15960, MPFR_RNDN);
}

static mpfr_t r15961, r15962, r15963, r15964, r15965, r15966, r15967, r15968, r15969, r15970, r15971;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15961);
        mpfr_init(r15962);
        mpfr_init(r15963);
        mpfr_init(r15964);
        mpfr_init(r15965);
        mpfr_init(r15966);
        mpfr_init(r15967);
        mpfr_init(r15968);
        mpfr_init(r15969);
        mpfr_init(r15970);
        mpfr_init(r15971);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r15961, a, MPFR_RNDN);
        mpfr_set_d(r15962, c, MPFR_RNDN);
        mpfr_mul(r15963, r15961, r15962, MPFR_RNDN);
        mpfr_set_d(r15964, b_2F2, MPFR_RNDN);
        mpfr_neg(r15965, r15964, MPFR_RNDN);
        mpfr_sqr(r15966, r15964, MPFR_RNDN);
        mpfr_sub(r15967, r15966, r15963, MPFR_RNDN);
        mpfr_sqrt(r15968, r15967, MPFR_RNDN);
        mpfr_add(r15969, r15965, r15968, MPFR_RNDN);
        mpfr_div(r15970, r15963, r15969, MPFR_RNDN);
        mpfr_div(r15971, r15970, r15961, MPFR_RNDN);
        return mpfr_get_d(r15971, MPFR_RNDN);
}

static mpfr_t r15972, r15973, r15974, r15975, r15976, r15977, r15978, r15979, r15980, r15981, r15982;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15972);
        mpfr_init(r15973);
        mpfr_init(r15974);
        mpfr_init(r15975);
        mpfr_init(r15976);
        mpfr_init(r15977);
        mpfr_init(r15978);
        mpfr_init(r15979);
        mpfr_init(r15980);
        mpfr_init(r15981);
        mpfr_init(r15982);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r15972, a, MPFR_RNDN);
        mpfr_set_d(r15973, c, MPFR_RNDN);
        mpfr_mul(r15974, r15972, r15973, MPFR_RNDN);
        mpfr_set_d(r15975, b_2F2, MPFR_RNDN);
        mpfr_neg(r15976, r15975, MPFR_RNDN);
        mpfr_sqr(r15977, r15975, MPFR_RNDN);
        mpfr_sub(r15978, r15977, r15974, MPFR_RNDN);
        mpfr_sqrt(r15979, r15978, MPFR_RNDN);
        mpfr_add(r15980, r15976, r15979, MPFR_RNDN);
        mpfr_div(r15981, r15974, r15980, MPFR_RNDN);
        mpfr_div(r15982, r15981, r15972, MPFR_RNDN);
        return mpfr_get_d(r15982, MPFR_RNDN);
}