#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 r22908 = th;
        float r22909 = cos(r22908);
        float r22910 = 2;
        float r22911 = sqrt(r22910);
        float r22912 = r22909 / r22911;
        float r22913 = a1;
        float r22914 = r22913 * r22913;
        float r22915 = r22912 * r22914;
        float r22916 = a2;
        float r22917 = r22916 * r22916;
        float r22918 = r22912 * r22917;
        float r22919 = r22915 + r22918;
        return r22919;
}

double f_id(double a1, double a2, double th) {
        double r22920 = th;
        double r22921 = cos(r22920);
        double r22922 = 2;
        double r22923 = sqrt(r22922);
        double r22924 = r22921 / r22923;
        double r22925 = a1;
        double r22926 = r22925 * r22925;
        double r22927 = r22924 * r22926;
        double r22928 = a2;
        double r22929 = r22928 * r22928;
        double r22930 = r22924 * r22929;
        double r22931 = r22927 + r22930;
        return r22931;
}


double f_of(float a1, float a2, float th) {
        float r22932 = a1;
        float r22933 = a2;
        float r22934 = hypot(r22932, r22933);
        float r22935 = th;
        float r22936 = cos(r22935);
        float r22937 = r22934 * r22936;
        float r22938 = 2;
        float r22939 = sqrt(r22938);
        float r22940 = r22937 / r22939;
        float r22941 = r22940 * r22934;
        return r22941;
}

double f_od(double a1, double a2, double th) {
        double r22942 = a1;
        double r22943 = a2;
        double r22944 = hypot(r22942, r22943);
        double r22945 = th;
        double r22946 = cos(r22945);
        double r22947 = r22944 * r22946;
        double r22948 = 2;
        double r22949 = sqrt(r22948);
        double r22950 = r22947 / r22949;
        double r22951 = r22950 * r22944;
        return r22951;
}

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 r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init_set_str(r22954, "2", 10, MPFR_RNDN);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22952, th, MPFR_RNDN);
        mpfr_cos(r22953, r22952, MPFR_RNDN);
        ;
        mpfr_sqrt(r22955, r22954, MPFR_RNDN);
        mpfr_div(r22956, r22953, r22955, MPFR_RNDN);
        mpfr_set_d(r22957, a1, MPFR_RNDN);
        mpfr_mul(r22958, r22957, r22957, MPFR_RNDN);
        mpfr_mul(r22959, r22956, r22958, MPFR_RNDN);
        mpfr_set_d(r22960, a2, MPFR_RNDN);
        mpfr_mul(r22961, r22960, r22960, MPFR_RNDN);
        mpfr_mul(r22962, r22956, r22961, MPFR_RNDN);
        mpfr_add(r22963, r22959, r22962, MPFR_RNDN);
        return mpfr_get_d(r22963, MPFR_RNDN);
}

static mpfr_t r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init_set_str(r22970, "2", 10, MPFR_RNDN);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
}

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

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        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_dm(double a1, double a2, double th) {
        mpfr_set_d(r22974, a1, MPFR_RNDN);
        mpfr_set_d(r22975, a2, MPFR_RNDN);
        mpfr_hypot(r22976, r22974, r22975, MPFR_RNDN);
        mpfr_set_d(r22977, th, MPFR_RNDN);
        mpfr_cos(r22978, r22977, MPFR_RNDN);
        mpfr_mul(r22979, r22976, r22978, MPFR_RNDN);
        ;
        mpfr_sqrt(r22981, r22980, MPFR_RNDN);
        mpfr_div(r22982, r22979, r22981, MPFR_RNDN);
        mpfr_mul(r22983, r22982, r22976, MPFR_RNDN);
        return mpfr_get_d(r22983, MPFR_RNDN);
}