#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 r21928 = atan2(1.0, 0.0);
        float r21929 = 2;
        float r21930 = r21928 / r21929;
        float r21931 = 1;
        float r21932 = b;
        float r21933 = r21932 * r21932;
        float r21934 = a;
        float r21935 = r21934 * r21934;
        float r21936 = r21933 - r21935;
        float r21937 = r21931 / r21936;
        float r21938 = r21930 * r21937;
        float r21939 = r21931 / r21934;
        float r21940 = r21931 / r21932;
        float r21941 = r21939 - r21940;
        float r21942 = r21938 * r21941;
        return r21942;
}

double f_id(double a, double b) {
        double r21943 = atan2(1.0, 0.0);
        double r21944 = 2;
        double r21945 = r21943 / r21944;
        double r21946 = 1;
        double r21947 = b;
        double r21948 = r21947 * r21947;
        double r21949 = a;
        double r21950 = r21949 * r21949;
        double r21951 = r21948 - r21950;
        double r21952 = r21946 / r21951;
        double r21953 = r21945 * r21952;
        double r21954 = r21946 / r21949;
        double r21955 = r21946 / r21947;
        double r21956 = r21954 - r21955;
        double r21957 = r21953 * r21956;
        return r21957;
}


double f_of(float a, float b) {
        float r21958 = atan2(1.0, 0.0);
        float r21959 = a;
        float r21960 = r21958 / r21959;
        float r21961 = b;
        float r21962 = r21958 / r21961;
        float r21963 = r21960 - r21962;
        float r21964 = r21961 + r21959;
        float r21965 = r21963 / r21964;
        float r21966 = r21961 - r21959;
        float r21967 = 2;
        float r21968 = r21966 * r21967;
        float r21969 = r21965 / r21968;
        return r21969;
}

double f_od(double a, double b) {
        double r21970 = atan2(1.0, 0.0);
        double r21971 = a;
        double r21972 = r21970 / r21971;
        double r21973 = b;
        double r21974 = r21970 / r21973;
        double r21975 = r21972 - r21974;
        double r21976 = r21973 + r21971;
        double r21977 = r21975 / r21976;
        double r21978 = r21973 - r21971;
        double r21979 = 2;
        double r21980 = r21978 * r21979;
        double r21981 = r21977 / r21980;
        return r21981;
}

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 r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21982);
        mpfr_init_set_str(r21983, "2", 10, MPFR_RNDN);
        mpfr_init(r21984);
        mpfr_init_set_str(r21985, "1", 10, MPFR_RNDN);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init(r21995);
        mpfr_init(r21996);
}

double f_im(double a, double b) {
        mpfr_const_pi(r21982, MPFR_RNDN);
        ;
        mpfr_div(r21984, r21982, r21983, MPFR_RNDN);
        ;
        mpfr_set_d(r21986, b, MPFR_RNDN);
        mpfr_mul(r21987, r21986, r21986, MPFR_RNDN);
        mpfr_set_d(r21988, a, MPFR_RNDN);
        mpfr_mul(r21989, r21988, r21988, MPFR_RNDN);
        mpfr_sub(r21990, r21987, r21989, MPFR_RNDN);
        mpfr_div(r21991, r21985, r21990, MPFR_RNDN);
        mpfr_mul(r21992, r21984, r21991, MPFR_RNDN);
        mpfr_div(r21993, r21985, r21988, MPFR_RNDN);
        mpfr_div(r21994, r21985, r21986, MPFR_RNDN);
        mpfr_sub(r21995, r21993, r21994, MPFR_RNDN);
        mpfr_mul(r21996, r21992, r21995, MPFR_RNDN);
        return mpfr_get_d(r21996, MPFR_RNDN);
}

static mpfr_t r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init_set_str(r22006, "2", 10, MPFR_RNDN);
        mpfr_init(r22007);
        mpfr_init(r22008);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r21997, MPFR_RNDN);
        mpfr_set_d(r21998, a, MPFR_RNDN);
        mpfr_div(r21999, r21997, r21998, MPFR_RNDN);
        mpfr_set_d(r22000, b, MPFR_RNDN);
        mpfr_div(r22001, r21997, r22000, MPFR_RNDN);
        mpfr_sub(r22002, r21999, r22001, MPFR_RNDN);
        mpfr_add(r22003, r22000, r21998, MPFR_RNDN);
        mpfr_div(r22004, r22002, r22003, MPFR_RNDN);
        mpfr_sub(r22005, r22000, r21998, MPFR_RNDN);
        ;
        mpfr_mul(r22007, r22005, r22006, MPFR_RNDN);
        mpfr_div(r22008, r22004, r22007, MPFR_RNDN);
        return mpfr_get_d(r22008, MPFR_RNDN);
}

static mpfr_t r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init_set_str(r22018, "2", 10, MPFR_RNDN);
        mpfr_init(r22019);
        mpfr_init(r22020);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r22009, MPFR_RNDN);
        mpfr_set_d(r22010, a, MPFR_RNDN);
        mpfr_div(r22011, r22009, r22010, MPFR_RNDN);
        mpfr_set_d(r22012, b, MPFR_RNDN);
        mpfr_div(r22013, r22009, r22012, MPFR_RNDN);
        mpfr_sub(r22014, r22011, r22013, MPFR_RNDN);
        mpfr_add(r22015, r22012, r22010, MPFR_RNDN);
        mpfr_div(r22016, r22014, r22015, MPFR_RNDN);
        mpfr_sub(r22017, r22012, r22010, MPFR_RNDN);
        ;
        mpfr_mul(r22019, r22017, r22018, MPFR_RNDN);
        mpfr_div(r22020, r22016, r22019, MPFR_RNDN);
        return mpfr_get_d(r22020, MPFR_RNDN);
}