#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 r21911 = atan2(1.0, 0.0);
        float r21912 = 2;
        float r21913 = r21911 / r21912;
        float r21914 = 1;
        float r21915 = b;
        float r21916 = r21915 * r21915;
        float r21917 = a;
        float r21918 = r21917 * r21917;
        float r21919 = r21916 - r21918;
        float r21920 = r21914 / r21919;
        float r21921 = r21913 * r21920;
        float r21922 = r21914 / r21917;
        float r21923 = r21914 / r21915;
        float r21924 = r21922 - r21923;
        float r21925 = r21921 * r21924;
        return r21925;
}

double f_id(double a, double b) {
        double r21926 = atan2(1.0, 0.0);
        double r21927 = 2;
        double r21928 = r21926 / r21927;
        double r21929 = 1;
        double r21930 = b;
        double r21931 = r21930 * r21930;
        double r21932 = a;
        double r21933 = r21932 * r21932;
        double r21934 = r21931 - r21933;
        double r21935 = r21929 / r21934;
        double r21936 = r21928 * r21935;
        double r21937 = r21929 / r21932;
        double r21938 = r21929 / r21930;
        double r21939 = r21937 - r21938;
        double r21940 = r21936 * r21939;
        return r21940;
}


double f_of(float a, float b) {
        float r21941 = atan2(1.0, 0.0);
        float r21942 = a;
        float r21943 = r21941 / r21942;
        float r21944 = b;
        float r21945 = r21941 / r21944;
        float r21946 = r21943 - r21945;
        float r21947 = r21944 + r21942;
        float r21948 = r21946 / r21947;
        float r21949 = r21944 - r21942;
        float r21950 = 2;
        float r21951 = r21949 * r21950;
        float r21952 = r21948 / r21951;
        return r21952;
}

double f_od(double a, double b) {
        double r21953 = atan2(1.0, 0.0);
        double r21954 = a;
        double r21955 = r21953 / r21954;
        double r21956 = b;
        double r21957 = r21953 / r21956;
        double r21958 = r21955 - r21957;
        double r21959 = r21956 + r21954;
        double r21960 = r21958 / r21959;
        double r21961 = r21956 - r21954;
        double r21962 = 2;
        double r21963 = r21961 * r21962;
        double r21964 = r21960 / r21963;
        return r21964;
}

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 r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r21965);
        mpfr_init_set_str(r21966, "2", 10, MPFR_RNDN);
        mpfr_init(r21967);
        mpfr_init_set_str(r21968, "1", 10, MPFR_RNDN);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init(r21975);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init(r21979);
}

double f_im(double a, double b) {
        mpfr_const_pi(r21965, MPFR_RNDN);
        ;
        mpfr_div(r21967, r21965, r21966, MPFR_RNDN);
        ;
        mpfr_set_d(r21969, b, MPFR_RNDN);
        mpfr_mul(r21970, r21969, r21969, MPFR_RNDN);
        mpfr_set_d(r21971, a, MPFR_RNDN);
        mpfr_mul(r21972, r21971, r21971, MPFR_RNDN);
        mpfr_sub(r21973, r21970, r21972, MPFR_RNDN);
        mpfr_div(r21974, r21968, r21973, MPFR_RNDN);
        mpfr_mul(r21975, r21967, r21974, MPFR_RNDN);
        mpfr_div(r21976, r21968, r21971, MPFR_RNDN);
        mpfr_div(r21977, r21968, r21969, MPFR_RNDN);
        mpfr_sub(r21978, r21976, r21977, MPFR_RNDN);
        mpfr_mul(r21979, r21975, r21978, MPFR_RNDN);
        return mpfr_get_d(r21979, MPFR_RNDN);
}

static mpfr_t r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init_set_str(r21989, "2", 10, MPFR_RNDN);
        mpfr_init(r21990);
        mpfr_init(r21991);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r21980, MPFR_RNDN);
        mpfr_set_d(r21981, a, MPFR_RNDN);
        mpfr_div(r21982, r21980, r21981, MPFR_RNDN);
        mpfr_set_d(r21983, b, MPFR_RNDN);
        mpfr_div(r21984, r21980, r21983, MPFR_RNDN);
        mpfr_sub(r21985, r21982, r21984, MPFR_RNDN);
        mpfr_add(r21986, r21983, r21981, MPFR_RNDN);
        mpfr_div(r21987, r21985, r21986, MPFR_RNDN);
        mpfr_sub(r21988, r21983, r21981, MPFR_RNDN);
        ;
        mpfr_mul(r21990, r21988, r21989, MPFR_RNDN);
        mpfr_div(r21991, r21987, r21990, MPFR_RNDN);
        return mpfr_get_d(r21991, MPFR_RNDN);
}

static mpfr_t r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init_set_str(r22001, "2", 10, MPFR_RNDN);
        mpfr_init(r22002);
        mpfr_init(r22003);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r21992, MPFR_RNDN);
        mpfr_set_d(r21993, a, MPFR_RNDN);
        mpfr_div(r21994, r21992, r21993, MPFR_RNDN);
        mpfr_set_d(r21995, b, MPFR_RNDN);
        mpfr_div(r21996, r21992, r21995, MPFR_RNDN);
        mpfr_sub(r21997, r21994, r21996, MPFR_RNDN);
        mpfr_add(r21998, r21995, r21993, MPFR_RNDN);
        mpfr_div(r21999, r21997, r21998, MPFR_RNDN);
        mpfr_sub(r22000, r21995, r21993, MPFR_RNDN);
        ;
        mpfr_mul(r22002, r22000, r22001, MPFR_RNDN);
        mpfr_div(r22003, r21999, r22002, MPFR_RNDN);
        return mpfr_get_d(r22003, MPFR_RNDN);
}

