#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 r23011 = th;
        float r23012 = cos(r23011);
        float r23013 = 2;
        float r23014 = sqrt(r23013);
        float r23015 = r23012 / r23014;
        float r23016 = a1;
        float r23017 = r23016 * r23016;
        float r23018 = r23015 * r23017;
        float r23019 = a2;
        float r23020 = r23019 * r23019;
        float r23021 = r23015 * r23020;
        float r23022 = r23018 + r23021;
        return r23022;
}

double f_id(double a1, double a2, double th) {
        double r23023 = th;
        double r23024 = cos(r23023);
        double r23025 = 2;
        double r23026 = sqrt(r23025);
        double r23027 = r23024 / r23026;
        double r23028 = a1;
        double r23029 = r23028 * r23028;
        double r23030 = r23027 * r23029;
        double r23031 = a2;
        double r23032 = r23031 * r23031;
        double r23033 = r23027 * r23032;
        double r23034 = r23030 + r23033;
        return r23034;
}


double f_of(float a1, float a2, float th) {
        float r23035 = th;
        float r23036 = cos(r23035);
        float r23037 = a1;
        float r23038 = r23037 * r23037;
        float r23039 = a2;
        float r23040 = r23039 * r23039;
        float r23041 = r23038 + r23040;
        float r23042 = 2;
        float r23043 = sqrt(r23042);
        float r23044 = r23041 / r23043;
        float r23045 = r23036 * r23044;
        return r23045;
}

double f_od(double a1, double a2, double th) {
        double r23046 = th;
        double r23047 = cos(r23046);
        double r23048 = a1;
        double r23049 = r23048 * r23048;
        double r23050 = a2;
        double r23051 = r23050 * r23050;
        double r23052 = r23049 + r23051;
        double r23053 = 2;
        double r23054 = sqrt(r23053);
        double r23055 = r23052 / r23054;
        double r23056 = r23047 * r23055;
        return r23056;
}

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 r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init_set_str(r23059, "2", 10, MPFR_RNDN);
        mpfr_init(r23060);
        mpfr_init(r23061);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23057, th, MPFR_RNDN);
        mpfr_cos(r23058, r23057, MPFR_RNDN);
        ;
        mpfr_sqrt(r23060, r23059, MPFR_RNDN);
        mpfr_div(r23061, r23058, r23060, MPFR_RNDN);
        mpfr_set_d(r23062, a1, MPFR_RNDN);
        mpfr_mul(r23063, r23062, r23062, MPFR_RNDN);
        mpfr_mul(r23064, r23061, r23063, MPFR_RNDN);
        mpfr_set_d(r23065, a2, MPFR_RNDN);
        mpfr_mul(r23066, r23065, r23065, MPFR_RNDN);
        mpfr_mul(r23067, r23061, r23066, MPFR_RNDN);
        mpfr_add(r23068, r23064, r23067, MPFR_RNDN);
        return mpfr_get_d(r23068, MPFR_RNDN);
}

static mpfr_t r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init_set_str(r23076, "2", 10, MPFR_RNDN);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23069, th, MPFR_RNDN);
        mpfr_cos(r23070, r23069, MPFR_RNDN);
        mpfr_set_d(r23071, a1, MPFR_RNDN);
        mpfr_mul(r23072, r23071, r23071, MPFR_RNDN);
        mpfr_set_d(r23073, a2, MPFR_RNDN);
        mpfr_mul(r23074, r23073, r23073, MPFR_RNDN);
        mpfr_add(r23075, r23072, r23074, MPFR_RNDN);
        ;
        mpfr_sqrt(r23077, r23076, MPFR_RNDN);
        mpfr_div(r23078, r23075, r23077, MPFR_RNDN);
        mpfr_mul(r23079, r23070, r23078, MPFR_RNDN);
        return mpfr_get_d(r23079, MPFR_RNDN);
}

static mpfr_t r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init_set_str(r23087, "2", 10, MPFR_RNDN);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23080, th, MPFR_RNDN);
        mpfr_cos(r23081, r23080, MPFR_RNDN);
        mpfr_set_d(r23082, a1, MPFR_RNDN);
        mpfr_mul(r23083, r23082, r23082, MPFR_RNDN);
        mpfr_set_d(r23084, a2, MPFR_RNDN);
        mpfr_mul(r23085, r23084, r23084, MPFR_RNDN);
        mpfr_add(r23086, r23083, r23085, MPFR_RNDN);
        ;
        mpfr_sqrt(r23088, r23087, MPFR_RNDN);
        mpfr_div(r23089, r23086, r23088, MPFR_RNDN);
        mpfr_mul(r23090, r23081, r23089, MPFR_RNDN);
        return mpfr_get_d(r23090, MPFR_RNDN);
}