#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 r22917 = th;
        float r22918 = cos(r22917);
        float r22919 = 2;
        float r22920 = sqrt(r22919);
        float r22921 = r22918 / r22920;
        float r22922 = a1;
        float r22923 = r22922 * r22922;
        float r22924 = r22921 * r22923;
        float r22925 = a2;
        float r22926 = r22925 * r22925;
        float r22927 = r22921 * r22926;
        float r22928 = r22924 + r22927;
        return r22928;
}

double f_id(double a1, double a2, double th) {
        double r22929 = th;
        double r22930 = cos(r22929);
        double r22931 = 2;
        double r22932 = sqrt(r22931);
        double r22933 = r22930 / r22932;
        double r22934 = a1;
        double r22935 = r22934 * r22934;
        double r22936 = r22933 * r22935;
        double r22937 = a2;
        double r22938 = r22937 * r22937;
        double r22939 = r22933 * r22938;
        double r22940 = r22936 + r22939;
        return r22940;
}


double f_of(float a1, float a2, float th) {
        float r22941 = th;
        float r22942 = cos(r22941);
        float r22943 = 2;
        float r22944 = sqrt(r22943);
        float r22945 = r22942 / r22944;
        float r22946 = a1;
        float r22947 = r22946 * r22946;
        float r22948 = r22945 * r22947;
        float r22949 = a2;
        float r22950 = r22949 * r22949;
        float r22951 = r22950 / r22944;
        float r22952 = r22942 * r22951;
        float r22953 = r22948 + r22952;
        return r22953;
}

double f_od(double a1, double a2, double th) {
        double r22954 = th;
        double r22955 = cos(r22954);
        double r22956 = 2;
        double r22957 = sqrt(r22956);
        double r22958 = r22955 / r22957;
        double r22959 = a1;
        double r22960 = r22959 * r22959;
        double r22961 = r22958 * r22960;
        double r22962 = a2;
        double r22963 = r22962 * r22962;
        double r22964 = r22963 / r22957;
        double r22965 = r22955 * r22964;
        double r22966 = r22961 + r22965;
        return r22966;
}

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 r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init_set_str(r22969, "2", 10, MPFR_RNDN);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22967, th, MPFR_RNDN);
        mpfr_cos(r22968, r22967, MPFR_RNDN);
        ;
        mpfr_sqrt(r22970, r22969, MPFR_RNDN);
        mpfr_div(r22971, r22968, r22970, MPFR_RNDN);
        mpfr_set_d(r22972, a1, MPFR_RNDN);
        mpfr_mul(r22973, r22972, r22972, MPFR_RNDN);
        mpfr_mul(r22974, r22971, r22973, MPFR_RNDN);
        mpfr_set_d(r22975, a2, MPFR_RNDN);
        mpfr_mul(r22976, r22975, r22975, MPFR_RNDN);
        mpfr_mul(r22977, r22971, r22976, MPFR_RNDN);
        mpfr_add(r22978, r22974, r22977, MPFR_RNDN);
        return mpfr_get_d(r22978, MPFR_RNDN);
}

static mpfr_t r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init_set_str(r22981, "2", 10, MPFR_RNDN);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22979, th, MPFR_RNDN);
        mpfr_cos(r22980, r22979, MPFR_RNDN);
        ;
        mpfr_sqrt(r22982, r22981, MPFR_RNDN);
        mpfr_div(r22983, r22980, r22982, MPFR_RNDN);
        mpfr_set_d(r22984, a1, MPFR_RNDN);
        mpfr_mul(r22985, r22984, r22984, MPFR_RNDN);
        mpfr_mul(r22986, r22983, r22985, MPFR_RNDN);
        mpfr_set_d(r22987, a2, MPFR_RNDN);
        mpfr_mul(r22988, r22987, r22987, MPFR_RNDN);
        mpfr_div(r22989, r22988, r22982, MPFR_RNDN);
        mpfr_mul(r22990, r22980, r22989, MPFR_RNDN);
        mpfr_add(r22991, r22986, r22990, MPFR_RNDN);
        return mpfr_get_d(r22991, MPFR_RNDN);
}

static mpfr_t r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init_set_str(r22994, "2", 10, MPFR_RNDN);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22992, th, MPFR_RNDN);
        mpfr_cos(r22993, r22992, MPFR_RNDN);
        ;
        mpfr_sqrt(r22995, r22994, MPFR_RNDN);
        mpfr_div(r22996, r22993, r22995, MPFR_RNDN);
        mpfr_set_d(r22997, a1, MPFR_RNDN);
        mpfr_mul(r22998, r22997, r22997, MPFR_RNDN);
        mpfr_mul(r22999, r22996, r22998, MPFR_RNDN);
        mpfr_set_d(r23000, a2, MPFR_RNDN);
        mpfr_mul(r23001, r23000, r23000, MPFR_RNDN);
        mpfr_div(r23002, r23001, r22995, MPFR_RNDN);
        mpfr_mul(r23003, r22993, r23002, MPFR_RNDN);
        mpfr_add(r23004, r22999, r23003, MPFR_RNDN);
        return mpfr_get_d(r23004, MPFR_RNDN);
}