#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 r22893 = th;
        float r22894 = cos(r22893);
        float r22895 = 2;
        float r22896 = sqrt(r22895);
        float r22897 = r22894 / r22896;
        float r22898 = a1;
        float r22899 = r22898 * r22898;
        float r22900 = r22897 * r22899;
        float r22901 = a2;
        float r22902 = r22901 * r22901;
        float r22903 = r22897 * r22902;
        float r22904 = r22900 + r22903;
        return r22904;
}

double f_id(double a1, double a2, double th) {
        double r22905 = th;
        double r22906 = cos(r22905);
        double r22907 = 2;
        double r22908 = sqrt(r22907);
        double r22909 = r22906 / r22908;
        double r22910 = a1;
        double r22911 = r22910 * r22910;
        double r22912 = r22909 * r22911;
        double r22913 = a2;
        double r22914 = r22913 * r22913;
        double r22915 = r22909 * r22914;
        double r22916 = r22912 + r22915;
        return r22916;
}


double f_of(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 = sqrt(r22920);
        float r22926 = r22918 / r22925;
        float r22927 = r22926 / r22925;
        float r22928 = a2;
        float r22929 = r22928 * r22928;
        float r22930 = r22927 * r22929;
        float r22931 = r22924 + r22930;
        return r22931;
}

double f_od(double a1, double a2, double th) {
        double r22932 = th;
        double r22933 = cos(r22932);
        double r22934 = 2;
        double r22935 = sqrt(r22934);
        double r22936 = r22933 / r22935;
        double r22937 = a1;
        double r22938 = r22937 * r22937;
        double r22939 = r22936 * r22938;
        double r22940 = sqrt(r22935);
        double r22941 = r22933 / r22940;
        double r22942 = r22941 / r22940;
        double r22943 = a2;
        double r22944 = r22943 * r22943;
        double r22945 = r22942 * r22944;
        double r22946 = r22939 + r22945;
        return r22946;
}

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 r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(272);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init_set_str(r22949, "2", 10, MPFR_RNDN);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22947, th, MPFR_RNDN);
        mpfr_cos(r22948, r22947, MPFR_RNDN);
        ;
        mpfr_sqrt(r22950, r22949, MPFR_RNDN);
        mpfr_div(r22951, r22948, r22950, MPFR_RNDN);
        mpfr_set_d(r22952, a1, MPFR_RNDN);
        mpfr_mul(r22953, r22952, r22952, MPFR_RNDN);
        mpfr_mul(r22954, r22951, r22953, MPFR_RNDN);
        mpfr_set_d(r22955, a2, MPFR_RNDN);
        mpfr_mul(r22956, r22955, r22955, MPFR_RNDN);
        mpfr_mul(r22957, r22951, r22956, MPFR_RNDN);
        mpfr_add(r22958, r22954, r22957, MPFR_RNDN);
        return mpfr_get_d(r22958, MPFR_RNDN);
}

static mpfr_t r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(272);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init_set_str(r22961, "2", 10, MPFR_RNDN);
        mpfr_init(r22962);
        mpfr_init(r22963);
        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);
        mpfr_init(r22973);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22959, th, MPFR_RNDN);
        mpfr_cos(r22960, r22959, MPFR_RNDN);
        ;
        mpfr_sqrt(r22962, r22961, MPFR_RNDN);
        mpfr_div(r22963, r22960, r22962, MPFR_RNDN);
        mpfr_set_d(r22964, a1, MPFR_RNDN);
        mpfr_mul(r22965, r22964, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22963, r22965, MPFR_RNDN);
        mpfr_sqrt(r22967, r22962, MPFR_RNDN);
        mpfr_div(r22968, r22960, r22967, MPFR_RNDN);
        mpfr_div(r22969, r22968, r22967, MPFR_RNDN);
        mpfr_set_d(r22970, a2, MPFR_RNDN);
        mpfr_mul(r22971, r22970, r22970, MPFR_RNDN);
        mpfr_mul(r22972, r22969, r22971, MPFR_RNDN);
        mpfr_add(r22973, r22966, r22972, MPFR_RNDN);
        return mpfr_get_d(r22973, MPFR_RNDN);
}

static mpfr_t r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(272);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init_set_str(r22976, "2", 10, MPFR_RNDN);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22974, th, MPFR_RNDN);
        mpfr_cos(r22975, r22974, MPFR_RNDN);
        ;
        mpfr_sqrt(r22977, r22976, MPFR_RNDN);
        mpfr_div(r22978, r22975, r22977, MPFR_RNDN);
        mpfr_set_d(r22979, a1, MPFR_RNDN);
        mpfr_mul(r22980, r22979, r22979, MPFR_RNDN);
        mpfr_mul(r22981, r22978, r22980, MPFR_RNDN);
        mpfr_sqrt(r22982, r22977, MPFR_RNDN);
        mpfr_div(r22983, r22975, r22982, MPFR_RNDN);
        mpfr_div(r22984, r22983, r22982, MPFR_RNDN);
        mpfr_set_d(r22985, a2, MPFR_RNDN);
        mpfr_mul(r22986, r22985, r22985, MPFR_RNDN);
        mpfr_mul(r22987, r22984, r22986, MPFR_RNDN);
        mpfr_add(r22988, r22981, r22987, MPFR_RNDN);
        return mpfr_get_d(r22988, MPFR_RNDN);
}