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

char *name = "Migdal et al, Equation (64)";

double f_if(float a1, float a2, float th) {
        float r19917 = th;
        float r19918 = cos(r19917);
        float r19919 = 2.0f;
        float r19920 = sqrt(r19919);
        float r19921 = r19918 / r19920;
        float r19922 = a1;
        float r19923 = r19922 * r19922;
        float r19924 = r19921 * r19923;
        float r19925 = a2;
        float r19926 = r19925 * r19925;
        float r19927 = r19921 * r19926;
        float r19928 = r19924 + r19927;
        return r19928;
}

double f_id(double a1, double a2, double th) {
        double r19929 = th;
        double r19930 = cos(r19929);
        double r19931 = 2.0;
        double r19932 = sqrt(r19931);
        double r19933 = r19930 / r19932;
        double r19934 = a1;
        double r19935 = r19934 * r19934;
        double r19936 = r19933 * r19935;
        double r19937 = a2;
        double r19938 = r19937 * r19937;
        double r19939 = r19933 * r19938;
        double r19940 = r19936 + r19939;
        return r19940;
}


double f_of(float a1, float a2, float th) {
        float r19941 = a2;
        float r19942 = r19941 * r19941;
        float r19943 = a1;
        float r19944 = r19943 * r19943;
        float r19945 = r19942 + r19944;
        float r19946 = 2.0f;
        float r19947 = sqrt(r19946);
        float r19948 = r19945 / r19947;
        float r19949 = 1.0f;
        float r19950 = th;
        float r19951 = cos(r19950);
        float r19952 = r19949 / r19951;
        float r19953 = r19948 / r19952;
        return r19953;
}

double f_od(double a1, double a2, double th) {
        double r19954 = a2;
        double r19955 = r19954 * r19954;
        double r19956 = a1;
        double r19957 = r19956 * r19956;
        double r19958 = r19955 + r19957;
        double r19959 = 2.0;
        double r19960 = sqrt(r19959);
        double r19961 = r19958 / r19960;
        double r19962 = 1.0;
        double r19963 = th;
        double r19964 = cos(r19963);
        double r19965 = r19962 / r19964;
        double r19966 = r19961 / r19965;
        return r19966;
}

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 r19967, r19968, r19969, r19970, r19971, r19972, r19973, r19974, r19975, r19976, r19977, r19978;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r19967);
        mpfr_init(r19968);
        mpfr_init_set_str(r19969, "2", 10, MPFR_RNDN);
        mpfr_init(r19970);
        mpfr_init(r19971);
        mpfr_init(r19972);
        mpfr_init(r19973);
        mpfr_init(r19974);
        mpfr_init(r19975);
        mpfr_init(r19976);
        mpfr_init(r19977);
        mpfr_init(r19978);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r19967, th, MPFR_RNDN);
        mpfr_cos(r19968, r19967, MPFR_RNDN);
        ;
        mpfr_sqrt(r19970, r19969, MPFR_RNDN);
        mpfr_div(r19971, r19968, r19970, MPFR_RNDN);
        mpfr_set_d(r19972, a1, MPFR_RNDN);
        mpfr_sqr(r19973, r19972, MPFR_RNDN);
        mpfr_mul(r19974, r19971, r19973, MPFR_RNDN);
        mpfr_set_d(r19975, a2, MPFR_RNDN);
        mpfr_sqr(r19976, r19975, MPFR_RNDN);
        mpfr_mul(r19977, r19971, r19976, MPFR_RNDN);
        mpfr_add(r19978, r19974, r19977, MPFR_RNDN);
        return mpfr_get_d(r19978, MPFR_RNDN);
}

static mpfr_t r19979, r19980, r19981, r19982, r19983, r19984, r19985, r19986, r19987, r19988, r19989, r19990, r19991;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r19979);
        mpfr_init(r19980);
        mpfr_init(r19981);
        mpfr_init(r19982);
        mpfr_init(r19983);
        mpfr_init_set_str(r19984, "2", 10, MPFR_RNDN);
        mpfr_init(r19985);
        mpfr_init(r19986);
        mpfr_init_set_str(r19987, "1", 10, MPFR_RNDN);
        mpfr_init(r19988);
        mpfr_init(r19989);
        mpfr_init(r19990);
        mpfr_init(r19991);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r19979, a2, MPFR_RNDN);
        mpfr_sqr(r19980, r19979, MPFR_RNDN);
        mpfr_set_d(r19981, a1, MPFR_RNDN);
        mpfr_mul(r19982, r19981, r19981, MPFR_RNDN);
        mpfr_add(r19983, r19980, r19982, MPFR_RNDN);
        ;
        mpfr_sqrt(r19985, r19984, MPFR_RNDN);
        mpfr_div(r19986, r19983, r19985, MPFR_RNDN);
        ;
        mpfr_set_d(r19988, th, MPFR_RNDN);
        mpfr_cos(r19989, r19988, MPFR_RNDN);
        mpfr_div(r19990, r19987, r19989, MPFR_RNDN);
        mpfr_div(r19991, r19986, r19990, MPFR_RNDN);
        return mpfr_get_d(r19991, MPFR_RNDN);
}

static mpfr_t r19992, r19993, r19994, r19995, r19996, r19997, r19998, r19999, r20000, r20001, r20002, r20003, r20004;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r19992);
        mpfr_init(r19993);
        mpfr_init(r19994);
        mpfr_init(r19995);
        mpfr_init(r19996);
        mpfr_init_set_str(r19997, "2", 10, MPFR_RNDN);
        mpfr_init(r19998);
        mpfr_init(r19999);
        mpfr_init_set_str(r20000, "1", 10, MPFR_RNDN);
        mpfr_init(r20001);
        mpfr_init(r20002);
        mpfr_init(r20003);
        mpfr_init(r20004);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r19992, a2, MPFR_RNDN);
        mpfr_sqr(r19993, r19992, MPFR_RNDN);
        mpfr_set_d(r19994, a1, MPFR_RNDN);
        mpfr_mul(r19995, r19994, r19994, MPFR_RNDN);
        mpfr_add(r19996, r19993, r19995, MPFR_RNDN);
        ;
        mpfr_sqrt(r19998, r19997, MPFR_RNDN);
        mpfr_div(r19999, r19996, r19998, MPFR_RNDN);
        ;
        mpfr_set_d(r20001, th, MPFR_RNDN);
        mpfr_cos(r20002, r20001, MPFR_RNDN);
        mpfr_div(r20003, r20000, r20002, MPFR_RNDN);
        mpfr_div(r20004, r19999, r20003, MPFR_RNDN);
        return mpfr_get_d(r20004, MPFR_RNDN);
}