#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 r15949 = b_2F2;
        float r15950 = -r15949;
        float r15951 = r15949 * r15949;
        float r15952 = a;
        float r15953 = c;
        float r15954 = r15952 * r15953;
        float r15955 = r15951 - r15954;
        float r15956 = sqrt(r15955);
        float r15957 = r15950 - r15956;
        float r15958 = r15957 / r15952;
        return r15958;
}

double f_id(double a, double b_2F2, double c) {
        double r15959 = b_2F2;
        double r15960 = -r15959;
        double r15961 = r15959 * r15959;
        double r15962 = a;
        double r15963 = c;
        double r15964 = r15962 * r15963;
        double r15965 = r15961 - r15964;
        double r15966 = sqrt(r15965);
        double r15967 = r15960 - r15966;
        double r15968 = r15967 / r15962;
        return r15968;
}


double f_of(float a, float b_2F2, float c) {
        float r15969 = a;
        float r15970 = c;
        float r15971 = r15969 * r15970;
        float r15972 = b_2F2;
        float r15973 = -r15972;
        float r15974 = r15972 * r15972;
        float r15975 = r15974 - r15971;
        float r15976 = sqrt(r15975);
        float r15977 = r15973 + r15976;
        float r15978 = r15971 / r15977;
        float r15979 = r15978 / r15969;
        return r15979;
}

double f_od(double a, double b_2F2, double c) {
        double r15980 = a;
        double r15981 = c;
        double r15982 = r15980 * r15981;
        double r15983 = b_2F2;
        double r15984 = -r15983;
        double r15985 = r15983 * r15983;
        double r15986 = r15985 - r15982;
        double r15987 = sqrt(r15986);
        double r15988 = r15984 + r15987;
        double r15989 = r15982 / r15988;
        double r15990 = r15989 / r15980;
        return r15990;
}

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 r15991, r15992, r15993, r15994, r15995, r15996, r15997, r15998, r15999, r16000;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15991);
        mpfr_init(r15992);
        mpfr_init(r15993);
        mpfr_init(r15994);
        mpfr_init(r15995);
        mpfr_init(r15996);
        mpfr_init(r15997);
        mpfr_init(r15998);
        mpfr_init(r15999);
        mpfr_init(r16000);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r15991, b_2F2, MPFR_RNDN);
        mpfr_neg(r15992, r15991, MPFR_RNDN);
        mpfr_sqr(r15993, r15991, MPFR_RNDN);
        mpfr_set_d(r15994, a, MPFR_RNDN);
        mpfr_set_d(r15995, c, MPFR_RNDN);
        mpfr_mul(r15996, r15994, r15995, MPFR_RNDN);
        mpfr_sub(r15997, r15993, r15996, MPFR_RNDN);
        mpfr_sqrt(r15998, r15997, MPFR_RNDN);
        mpfr_sub(r15999, r15992, r15998, MPFR_RNDN);
        mpfr_div(r16000, r15999, r15994, MPFR_RNDN);
        return mpfr_get_d(r16000, MPFR_RNDN);
}

static mpfr_t r16001, r16002, r16003, r16004, r16005, r16006, r16007, r16008, r16009, r16010, r16011;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16001);
        mpfr_init(r16002);
        mpfr_init(r16003);
        mpfr_init(r16004);
        mpfr_init(r16005);
        mpfr_init(r16006);
        mpfr_init(r16007);
        mpfr_init(r16008);
        mpfr_init(r16009);
        mpfr_init(r16010);
        mpfr_init(r16011);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16001, a, MPFR_RNDN);
        mpfr_set_d(r16002, c, MPFR_RNDN);
        mpfr_mul(r16003, r16001, r16002, MPFR_RNDN);
        mpfr_set_d(r16004, b_2F2, MPFR_RNDN);
        mpfr_neg(r16005, r16004, MPFR_RNDN);
        mpfr_sqr(r16006, r16004, MPFR_RNDN);
        mpfr_sub(r16007, r16006, r16003, MPFR_RNDN);
        mpfr_sqrt(r16008, r16007, MPFR_RNDN);
        mpfr_add(r16009, r16005, r16008, MPFR_RNDN);
        mpfr_div(r16010, r16003, r16009, MPFR_RNDN);
        mpfr_div(r16011, r16010, r16001, MPFR_RNDN);
        return mpfr_get_d(r16011, MPFR_RNDN);
}

static mpfr_t r16012, r16013, r16014, r16015, r16016, r16017, r16018, r16019, r16020, r16021, r16022;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16012);
        mpfr_init(r16013);
        mpfr_init(r16014);
        mpfr_init(r16015);
        mpfr_init(r16016);
        mpfr_init(r16017);
        mpfr_init(r16018);
        mpfr_init(r16019);
        mpfr_init(r16020);
        mpfr_init(r16021);
        mpfr_init(r16022);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16012, a, MPFR_RNDN);
        mpfr_set_d(r16013, c, MPFR_RNDN);
        mpfr_mul(r16014, r16012, r16013, MPFR_RNDN);
        mpfr_set_d(r16015, b_2F2, MPFR_RNDN);
        mpfr_neg(r16016, r16015, MPFR_RNDN);
        mpfr_sqr(r16017, r16015, MPFR_RNDN);
        mpfr_sub(r16018, r16017, r16014, MPFR_RNDN);
        mpfr_sqrt(r16019, r16018, MPFR_RNDN);
        mpfr_add(r16020, r16016, r16019, MPFR_RNDN);
        mpfr_div(r16021, r16014, r16020, MPFR_RNDN);
        mpfr_div(r16022, r16021, r16012, MPFR_RNDN);
        return mpfr_get_d(r16022, MPFR_RNDN);
}