#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 r16866 = b_2F2;
        float r16867 = -r16866;
        float r16868 = r16866 * r16866;
        float r16869 = a;
        float r16870 = c;
        float r16871 = r16869 * r16870;
        float r16872 = r16868 - r16871;
        float r16873 = sqrt(r16872);
        float r16874 = r16867 - r16873;
        float r16875 = r16874 / r16869;
        return r16875;
}

double f_id(double a, double b_2F2, double c) {
        double r16876 = b_2F2;
        double r16877 = -r16876;
        double r16878 = r16876 * r16876;
        double r16879 = a;
        double r16880 = c;
        double r16881 = r16879 * r16880;
        double r16882 = r16878 - r16881;
        double r16883 = sqrt(r16882);
        double r16884 = r16877 - r16883;
        double r16885 = r16884 / r16879;
        return r16885;
}


double f_of(float a, float b_2F2, float c) {
        float r16886 = b_2F2;
        float r16887 = -1.451678360853137e-11f;
        bool r16888 = r16886 <= r16887;
        float r16889 = c;
        float r16890 = -0.5f;
        float r16891 = r16886 / r16890;
        float r16892 = r16889 / r16891;
        float r16893 = 1.6024659045939937e+18f;
        bool r16894 = r16886 <= r16893;
        float r16895 = -r16886;
        float r16896 = r16886 * r16886;
        float r16897 = a;
        float r16898 = r16897 * r16889;
        float r16899 = r16896 - r16898;
        float r16900 = sqrt(r16899);
        float r16901 = r16895 - r16900;
        float r16902 = 1.0f;
        float r16903 = pow(r16901, r16902);
        float r16904 = r16903 / r16897;
        float r16905 = 0.5f;
        float r16906 = r16886 / r16889;
        float r16907 = r16905 / r16906;
        float r16908 = r16886 / r16897;
        float r16909 = 2.0f;
        float r16910 = r16908 * r16909;
        float r16911 = r16907 - r16910;
        float r16912 = r16894 ? r16904 : r16911;
        float r16913 = r16888 ? r16892 : r16912;
        return r16913;
}

double f_od(double a, double b_2F2, double c) {
        double r16914 = b_2F2;
        double r16915 = -1.451678360853137e-11;
        bool r16916 = r16914 <= r16915;
        double r16917 = c;
        double r16918 = -0.5;
        double r16919 = r16914 / r16918;
        double r16920 = r16917 / r16919;
        double r16921 = 1.6024659045939937e+18;
        bool r16922 = r16914 <= r16921;
        double r16923 = -r16914;
        double r16924 = r16914 * r16914;
        double r16925 = a;
        double r16926 = r16925 * r16917;
        double r16927 = r16924 - r16926;
        double r16928 = sqrt(r16927);
        double r16929 = r16923 - r16928;
        double r16930 = 1.0;
        double r16931 = pow(r16929, r16930);
        double r16932 = r16931 / r16925;
        double r16933 = 0.5;
        double r16934 = r16914 / r16917;
        double r16935 = r16933 / r16934;
        double r16936 = r16914 / r16925;
        double r16937 = 2.0;
        double r16938 = r16936 * r16937;
        double r16939 = r16935 - r16938;
        double r16940 = r16922 ? r16932 : r16939;
        double r16941 = r16916 ? r16920 : r16940;
        return r16941;
}

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 r16942, r16943, r16944, r16945, r16946, r16947, r16948, r16949, r16950, r16951;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16942);
        mpfr_init(r16943);
        mpfr_init(r16944);
        mpfr_init(r16945);
        mpfr_init(r16946);
        mpfr_init(r16947);
        mpfr_init(r16948);
        mpfr_init(r16949);
        mpfr_init(r16950);
        mpfr_init(r16951);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16942, b_2F2, MPFR_RNDN);
        mpfr_neg(r16943, r16942, MPFR_RNDN);
        mpfr_sqr(r16944, r16942, MPFR_RNDN);
        mpfr_set_d(r16945, a, MPFR_RNDN);
        mpfr_set_d(r16946, c, MPFR_RNDN);
        mpfr_mul(r16947, r16945, r16946, MPFR_RNDN);
        mpfr_sub(r16948, r16944, r16947, MPFR_RNDN);
        mpfr_sqrt(r16949, r16948, MPFR_RNDN);
        mpfr_sub(r16950, r16943, r16949, MPFR_RNDN);
        mpfr_div(r16951, r16950, r16945, MPFR_RNDN);
        return mpfr_get_d(r16951, MPFR_RNDN);
}

static mpfr_t r16952, r16953, r16954, r16955, r16956, r16957, r16958, r16959, r16960, r16961, r16962, r16963, r16964, r16965, r16966, r16967, r16968, r16969, r16970, r16971, r16972, r16973, r16974, r16975, r16976, r16977, r16978, r16979;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16952);
        mpfr_init_set_str(r16953, "-1.4516784f-11", 10, MPFR_RNDN);
        mpfr_init(r16954);
        mpfr_init(r16955);
        mpfr_init_set_str(r16956, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r16957);
        mpfr_init(r16958);
        mpfr_init_set_str(r16959, "1.6024659f+18", 10, MPFR_RNDN);
        mpfr_init(r16960);
        mpfr_init(r16961);
        mpfr_init(r16962);
        mpfr_init(r16963);
        mpfr_init(r16964);
        mpfr_init(r16965);
        mpfr_init(r16966);
        mpfr_init(r16967);
        mpfr_init_set_str(r16968, "1", 10, MPFR_RNDN);
        mpfr_init(r16969);
        mpfr_init(r16970);
        mpfr_init_set_str(r16971, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16972);
        mpfr_init(r16973);
        mpfr_init(r16974);
        mpfr_init_set_str(r16975, "2", 10, MPFR_RNDN);
        mpfr_init(r16976);
        mpfr_init(r16977);
        mpfr_init(r16978);
        mpfr_init(r16979);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16952, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16954, mpfr_cmp(r16952, r16953) <= 0, MPFR_RNDN);
        mpfr_set_d(r16955, c, MPFR_RNDN);
        ;
        mpfr_div(r16957, r16952, r16956, MPFR_RNDN);
        mpfr_div(r16958, r16955, r16957, MPFR_RNDN);
        ;
        mpfr_set_si(r16960, mpfr_cmp(r16952, r16959) <= 0, MPFR_RNDN);
        mpfr_neg(r16961, r16952, MPFR_RNDN);
        mpfr_sqr(r16962, r16952, MPFR_RNDN);
        mpfr_set_d(r16963, a, MPFR_RNDN);
        mpfr_mul(r16964, r16963, r16955, MPFR_RNDN);
        mpfr_sub(r16965, r16962, r16964, MPFR_RNDN);
        mpfr_sqrt(r16966, r16965, MPFR_RNDN);
        mpfr_sub(r16967, r16961, r16966, MPFR_RNDN);
        ;
        mpfr_pow(r16969, r16967, r16968, MPFR_RNDN);
        mpfr_div(r16970, r16969, r16963, MPFR_RNDN);
        ;
        mpfr_div(r16972, r16952, r16955, MPFR_RNDN);
        mpfr_div(r16973, r16971, r16972, MPFR_RNDN);
        mpfr_div(r16974, r16952, r16963, MPFR_RNDN);
        ;
        mpfr_mul(r16976, r16974, r16975, MPFR_RNDN);
        mpfr_sub(r16977, r16973, r16976, MPFR_RNDN);
        if (mpfr_get_si(r16960, MPFR_RNDN)) { mpfr_set(r16978, r16970, MPFR_RNDN); } else { mpfr_set(r16978, r16977, MPFR_RNDN); };
        if (mpfr_get_si(r16954, MPFR_RNDN)) { mpfr_set(r16979, r16958, MPFR_RNDN); } else { mpfr_set(r16979, r16978, MPFR_RNDN); };
        return mpfr_get_d(r16979, MPFR_RNDN);
}

static mpfr_t r16980, r16981, r16982, r16983, r16984, r16985, r16986, r16987, r16988, r16989, r16990, r16991, r16992, r16993, r16994, r16995, r16996, r16997, r16998, r16999, r17000, r17001, r17002, r17003, r17004, r17005, r17006, r17007;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16980);
        mpfr_init_set_str(r16981, "-1.4516784f-11", 10, MPFR_RNDN);
        mpfr_init(r16982);
        mpfr_init(r16983);
        mpfr_init_set_str(r16984, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r16985);
        mpfr_init(r16986);
        mpfr_init_set_str(r16987, "1.6024659f+18", 10, MPFR_RNDN);
        mpfr_init(r16988);
        mpfr_init(r16989);
        mpfr_init(r16990);
        mpfr_init(r16991);
        mpfr_init(r16992);
        mpfr_init(r16993);
        mpfr_init(r16994);
        mpfr_init(r16995);
        mpfr_init_set_str(r16996, "1", 10, MPFR_RNDN);
        mpfr_init(r16997);
        mpfr_init(r16998);
        mpfr_init_set_str(r16999, "1/2", 10, MPFR_RNDN);
        mpfr_init(r17000);
        mpfr_init(r17001);
        mpfr_init(r17002);
        mpfr_init_set_str(r17003, "2", 10, MPFR_RNDN);
        mpfr_init(r17004);
        mpfr_init(r17005);
        mpfr_init(r17006);
        mpfr_init(r17007);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16980, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16982, mpfr_cmp(r16980, r16981) <= 0, MPFR_RNDN);
        mpfr_set_d(r16983, c, MPFR_RNDN);
        ;
        mpfr_div(r16985, r16980, r16984, MPFR_RNDN);
        mpfr_div(r16986, r16983, r16985, MPFR_RNDN);
        ;
        mpfr_set_si(r16988, mpfr_cmp(r16980, r16987) <= 0, MPFR_RNDN);
        mpfr_neg(r16989, r16980, MPFR_RNDN);
        mpfr_sqr(r16990, r16980, MPFR_RNDN);
        mpfr_set_d(r16991, a, MPFR_RNDN);
        mpfr_mul(r16992, r16991, r16983, MPFR_RNDN);
        mpfr_sub(r16993, r16990, r16992, MPFR_RNDN);
        mpfr_sqrt(r16994, r16993, MPFR_RNDN);
        mpfr_sub(r16995, r16989, r16994, MPFR_RNDN);
        ;
        mpfr_pow(r16997, r16995, r16996, MPFR_RNDN);
        mpfr_div(r16998, r16997, r16991, MPFR_RNDN);
        ;
        mpfr_div(r17000, r16980, r16983, MPFR_RNDN);
        mpfr_div(r17001, r16999, r17000, MPFR_RNDN);
        mpfr_div(r17002, r16980, r16991, MPFR_RNDN);
        ;
        mpfr_mul(r17004, r17002, r17003, MPFR_RNDN);
        mpfr_sub(r17005, r17001, r17004, MPFR_RNDN);
        if (mpfr_get_si(r16988, MPFR_RNDN)) { mpfr_set(r17006, r16998, MPFR_RNDN); } else { mpfr_set(r17006, r17005, MPFR_RNDN); };
        if (mpfr_get_si(r16982, MPFR_RNDN)) { mpfr_set(r17007, r16986, MPFR_RNDN); } else { mpfr_set(r17007, r17006, MPFR_RNDN); };
        return mpfr_get_d(r17007, MPFR_RNDN);
}