#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE Section 6.1 mentioned, B";

double f_if(float a, float b) {
        float r21888 = atan2(1.0, 0.0);
        float r21889 = 2;
        float r21890 = r21888 / r21889;
        float r21891 = 1;
        float r21892 = b;
        float r21893 = r21892 * r21892;
        float r21894 = a;
        float r21895 = r21894 * r21894;
        float r21896 = r21893 - r21895;
        float r21897 = r21891 / r21896;
        float r21898 = r21890 * r21897;
        float r21899 = r21891 / r21894;
        float r21900 = r21891 / r21892;
        float r21901 = r21899 - r21900;
        float r21902 = r21898 * r21901;
        return r21902;
}

double f_id(double a, double b) {
        double r21903 = atan2(1.0, 0.0);
        double r21904 = 2;
        double r21905 = r21903 / r21904;
        double r21906 = 1;
        double r21907 = b;
        double r21908 = r21907 * r21907;
        double r21909 = a;
        double r21910 = r21909 * r21909;
        double r21911 = r21908 - r21910;
        double r21912 = r21906 / r21911;
        double r21913 = r21905 * r21912;
        double r21914 = r21906 / r21909;
        double r21915 = r21906 / r21907;
        double r21916 = r21914 - r21915;
        double r21917 = r21913 * r21916;
        return r21917;
}


double f_of(float a, float b) {
        float r21918 = 1;
        float r21919 = b;
        float r21920 = a;
        float r21921 = r21919 - r21920;
        float r21922 = r21918 / r21921;
        float r21923 = atan2(1.0, 0.0);
        float r21924 = r21923 / r21920;
        float r21925 = r21923 / r21919;
        float r21926 = r21924 - r21925;
        float r21927 = 2;
        float r21928 = r21926 / r21927;
        float r21929 = r21922 * r21928;
        float r21930 = r21919 + r21920;
        float r21931 = r21929 / r21930;
        return r21931;
}

double f_od(double a, double b) {
        double r21932 = 1;
        double r21933 = b;
        double r21934 = a;
        double r21935 = r21933 - r21934;
        double r21936 = r21932 / r21935;
        double r21937 = atan2(1.0, 0.0);
        double r21938 = r21937 / r21934;
        double r21939 = r21937 / r21933;
        double r21940 = r21938 - r21939;
        double r21941 = 2;
        double r21942 = r21940 / r21941;
        double r21943 = r21936 * r21942;
        double r21944 = r21933 + r21934;
        double r21945 = r21943 / r21944;
        return r21945;
}

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 r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21946);
        mpfr_init_set_str(r21947, "2", 10, MPFR_RNDN);
        mpfr_init(r21948);
        mpfr_init_set_str(r21949, "1", 10, MPFR_RNDN);
        mpfr_init(r21950);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
}

double f_im(double a, double b) {
        mpfr_const_pi(r21946, MPFR_RNDN);
        ;
        mpfr_div(r21948, r21946, r21947, MPFR_RNDN);
        ;
        mpfr_set_d(r21950, b, MPFR_RNDN);
        mpfr_mul(r21951, r21950, r21950, MPFR_RNDN);
        mpfr_set_d(r21952, a, MPFR_RNDN);
        mpfr_mul(r21953, r21952, r21952, MPFR_RNDN);
        mpfr_sub(r21954, r21951, r21953, MPFR_RNDN);
        mpfr_div(r21955, r21949, r21954, MPFR_RNDN);
        mpfr_mul(r21956, r21948, r21955, MPFR_RNDN);
        mpfr_div(r21957, r21949, r21952, MPFR_RNDN);
        mpfr_div(r21958, r21949, r21950, MPFR_RNDN);
        mpfr_sub(r21959, r21957, r21958, MPFR_RNDN);
        mpfr_mul(r21960, r21956, r21959, MPFR_RNDN);
        return mpfr_get_d(r21960, MPFR_RNDN);
}

static mpfr_t r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21961, "1", 10, MPFR_RNDN);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init(r21967);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init_set_str(r21970, "2", 10, MPFR_RNDN);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r21962, b, MPFR_RNDN);
        mpfr_set_d(r21963, a, MPFR_RNDN);
        mpfr_sub(r21964, r21962, r21963, MPFR_RNDN);
        mpfr_div(r21965, r21961, r21964, MPFR_RNDN);
        mpfr_const_pi(r21966, MPFR_RNDN);
        mpfr_div(r21967, r21966, r21963, MPFR_RNDN);
        mpfr_div(r21968, r21966, r21962, MPFR_RNDN);
        mpfr_sub(r21969, r21967, r21968, MPFR_RNDN);
        ;
        mpfr_div(r21971, r21969, r21970, MPFR_RNDN);
        mpfr_mul(r21972, r21965, r21971, MPFR_RNDN);
        mpfr_add(r21973, r21962, r21963, MPFR_RNDN);
        mpfr_div(r21974, r21972, r21973, MPFR_RNDN);
        return mpfr_get_d(r21974, MPFR_RNDN);
}

static mpfr_t r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21975, "1", 10, MPFR_RNDN);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init_set_str(r21984, "2", 10, MPFR_RNDN);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r21976, b, MPFR_RNDN);
        mpfr_set_d(r21977, a, MPFR_RNDN);
        mpfr_sub(r21978, r21976, r21977, MPFR_RNDN);
        mpfr_div(r21979, r21975, r21978, MPFR_RNDN);
        mpfr_const_pi(r21980, MPFR_RNDN);
        mpfr_div(r21981, r21980, r21977, MPFR_RNDN);
        mpfr_div(r21982, r21980, r21976, MPFR_RNDN);
        mpfr_sub(r21983, r21981, r21982, MPFR_RNDN);
        ;
        mpfr_div(r21985, r21983, r21984, MPFR_RNDN);
        mpfr_mul(r21986, r21979, r21985, MPFR_RNDN);
        mpfr_add(r21987, r21976, r21977, MPFR_RNDN);
        mpfr_div(r21988, r21986, r21987, MPFR_RNDN);
        return mpfr_get_d(r21988, MPFR_RNDN);
}

