#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 r22915 = th;
        float r22916 = cos(r22915);
        float r22917 = 2;
        float r22918 = sqrt(r22917);
        float r22919 = r22916 / r22918;
        float r22920 = a1;
        float r22921 = r22920 * r22920;
        float r22922 = r22919 * r22921;
        float r22923 = a2;
        float r22924 = r22923 * r22923;
        float r22925 = r22919 * r22924;
        float r22926 = r22922 + r22925;
        return r22926;
}

double f_id(double a1, double a2, double th) {
        double r22927 = th;
        double r22928 = cos(r22927);
        double r22929 = 2;
        double r22930 = sqrt(r22929);
        double r22931 = r22928 / r22930;
        double r22932 = a1;
        double r22933 = r22932 * r22932;
        double r22934 = r22931 * r22933;
        double r22935 = a2;
        double r22936 = r22935 * r22935;
        double r22937 = r22931 * r22936;
        double r22938 = r22934 + r22937;
        return r22938;
}


double f_of(float a1, float a2, float th) {
        float r22939 = th;
        float r22940 = cos(r22939);
        float r22941 = a1;
        float r22942 = r22941 * r22941;
        float r22943 = a2;
        float r22944 = r22943 * r22943;
        float r22945 = r22942 + r22944;
        float r22946 = 2;
        float r22947 = sqrt(r22946);
        float r22948 = r22945 / r22947;
        float r22949 = r22940 * r22948;
        return r22949;
}

double f_od(double a1, double a2, double th) {
        double r22950 = th;
        double r22951 = cos(r22950);
        double r22952 = a1;
        double r22953 = r22952 * r22952;
        double r22954 = a2;
        double r22955 = r22954 * r22954;
        double r22956 = r22953 + r22955;
        double r22957 = 2;
        double r22958 = sqrt(r22957);
        double r22959 = r22956 / r22958;
        double r22960 = r22951 * r22959;
        return r22960;
}

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 r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init_set_str(r22963, "2", 10, MPFR_RNDN);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22961, th, MPFR_RNDN);
        mpfr_cos(r22962, r22961, MPFR_RNDN);
        ;
        mpfr_sqrt(r22964, r22963, MPFR_RNDN);
        mpfr_div(r22965, r22962, r22964, MPFR_RNDN);
        mpfr_set_d(r22966, a1, MPFR_RNDN);
        mpfr_mul(r22967, r22966, r22966, MPFR_RNDN);
        mpfr_mul(r22968, r22965, r22967, MPFR_RNDN);
        mpfr_set_d(r22969, a2, MPFR_RNDN);
        mpfr_mul(r22970, r22969, r22969, MPFR_RNDN);
        mpfr_mul(r22971, r22965, r22970, MPFR_RNDN);
        mpfr_add(r22972, r22968, r22971, MPFR_RNDN);
        return mpfr_get_d(r22972, MPFR_RNDN);
}

static mpfr_t r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init_set_str(r22980, "2", 10, MPFR_RNDN);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22973, th, MPFR_RNDN);
        mpfr_cos(r22974, r22973, MPFR_RNDN);
        mpfr_set_d(r22975, a1, MPFR_RNDN);
        mpfr_mul(r22976, r22975, r22975, MPFR_RNDN);
        mpfr_set_d(r22977, a2, MPFR_RNDN);
        mpfr_mul(r22978, r22977, r22977, MPFR_RNDN);
        mpfr_add(r22979, r22976, r22978, MPFR_RNDN);
        ;
        mpfr_sqrt(r22981, r22980, MPFR_RNDN);
        mpfr_div(r22982, r22979, r22981, MPFR_RNDN);
        mpfr_mul(r22983, r22974, r22982, MPFR_RNDN);
        return mpfr_get_d(r22983, MPFR_RNDN);
}

static mpfr_t r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init_set_str(r22991, "2", 10, MPFR_RNDN);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22984, th, MPFR_RNDN);
        mpfr_cos(r22985, r22984, MPFR_RNDN);
        mpfr_set_d(r22986, a1, MPFR_RNDN);
        mpfr_mul(r22987, r22986, r22986, MPFR_RNDN);
        mpfr_set_d(r22988, a2, MPFR_RNDN);
        mpfr_mul(r22989, r22988, r22988, MPFR_RNDN);
        mpfr_add(r22990, r22987, r22989, MPFR_RNDN);
        ;
        mpfr_sqrt(r22992, r22991, MPFR_RNDN);
        mpfr_div(r22993, r22990, r22992, MPFR_RNDN);
        mpfr_mul(r22994, r22985, r22993, MPFR_RNDN);
        return mpfr_get_d(r22994, MPFR_RNDN);
}