#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 r20951 = th;
        float r20952 = cos(r20951);
        float r20953 = 2;
        float r20954 = sqrt(r20953);
        float r20955 = r20952 / r20954;
        float r20956 = a1;
        float r20957 = r20956 * r20956;
        float r20958 = r20955 * r20957;
        float r20959 = a2;
        float r20960 = r20959 * r20959;
        float r20961 = r20955 * r20960;
        float r20962 = r20958 + r20961;
        return r20962;
}

double f_id(double a1, double a2, double th) {
        double r20963 = th;
        double r20964 = cos(r20963);
        double r20965 = 2;
        double r20966 = sqrt(r20965);
        double r20967 = r20964 / r20966;
        double r20968 = a1;
        double r20969 = r20968 * r20968;
        double r20970 = r20967 * r20969;
        double r20971 = a2;
        double r20972 = r20971 * r20971;
        double r20973 = r20967 * r20972;
        double r20974 = r20970 + r20973;
        return r20974;
}


double f_of(float a1, float a2, float th) {
        float r20975 = th;
        float r20976 = cos(r20975);
        float r20977 = 3;
        float r20978 = pow(r20976, r20977);
        float r20979 = 2;
        float r20980 = sqrt(r20979);
        float r20981 = r20980 + r20980;
        float r20982 = r20978 / r20981;
        float r20983 = cbrt(r20982);
        float r20984 = a2;
        float r20985 = r20984 * r20984;
        float r20986 = a1;
        float r20987 = r20986 * r20986;
        float r20988 = r20985 + r20987;
        float r20989 = r20983 * r20988;
        return r20989;
}

double f_od(double a1, double a2, double th) {
        double r20990 = th;
        double r20991 = cos(r20990);
        double r20992 = 3;
        double r20993 = pow(r20991, r20992);
        double r20994 = 2;
        double r20995 = sqrt(r20994);
        double r20996 = r20995 + r20995;
        double r20997 = r20993 / r20996;
        double r20998 = cbrt(r20997);
        double r20999 = a2;
        double r21000 = r20999 * r20999;
        double r21001 = a1;
        double r21002 = r21001 * r21001;
        double r21003 = r21000 + r21002;
        double r21004 = r20998 * r21003;
        return r21004;
}

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 r21005, r21006, r21007, r21008, r21009, r21010, r21011, r21012, r21013, r21014, r21015, r21016;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21005);
        mpfr_init(r21006);
        mpfr_init_set_str(r21007, "2", 10, MPFR_RNDN);
        mpfr_init(r21008);
        mpfr_init(r21009);
        mpfr_init(r21010);
        mpfr_init(r21011);
        mpfr_init(r21012);
        mpfr_init(r21013);
        mpfr_init(r21014);
        mpfr_init(r21015);
        mpfr_init(r21016);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r21005, th, MPFR_RNDN);
        mpfr_cos(r21006, r21005, MPFR_RNDN);
        ;
        mpfr_sqrt(r21008, r21007, MPFR_RNDN);
        mpfr_div(r21009, r21006, r21008, MPFR_RNDN);
        mpfr_set_d(r21010, a1, MPFR_RNDN);
        mpfr_mul(r21011, r21010, r21010, MPFR_RNDN);
        mpfr_mul(r21012, r21009, r21011, MPFR_RNDN);
        mpfr_set_d(r21013, a2, MPFR_RNDN);
        mpfr_mul(r21014, r21013, r21013, MPFR_RNDN);
        mpfr_mul(r21015, r21009, r21014, MPFR_RNDN);
        mpfr_add(r21016, r21012, r21015, MPFR_RNDN);
        return mpfr_get_d(r21016, MPFR_RNDN);
}

static mpfr_t r21017, r21018, r21019, r21020, r21021, r21022, r21023, r21024, r21025, r21026, r21027, r21028, r21029, r21030, r21031;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21017);
        mpfr_init(r21018);
        mpfr_init_set_str(r21019, "3", 10, MPFR_RNDN);
        mpfr_init(r21020);
        mpfr_init_set_str(r21021, "2", 10, MPFR_RNDN);
        mpfr_init(r21022);
        mpfr_init(r21023);
        mpfr_init(r21024);
        mpfr_init(r21025);
        mpfr_init(r21026);
        mpfr_init(r21027);
        mpfr_init(r21028);
        mpfr_init(r21029);
        mpfr_init(r21030);
        mpfr_init(r21031);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r21017, th, MPFR_RNDN);
        mpfr_cos(r21018, r21017, MPFR_RNDN);
        ;
        mpfr_pow(r21020, r21018, r21019, MPFR_RNDN);
        ;
        mpfr_sqrt(r21022, r21021, MPFR_RNDN);
        mpfr_add(r21023, r21022, r21022, MPFR_RNDN);
        mpfr_div(r21024, r21020, r21023, MPFR_RNDN);
        mpfr_cbrt(r21025, r21024, MPFR_RNDN);
        mpfr_set_d(r21026, a2, MPFR_RNDN);
        mpfr_mul(r21027, r21026, r21026, MPFR_RNDN);
        mpfr_set_d(r21028, a1, MPFR_RNDN);
        mpfr_mul(r21029, r21028, r21028, MPFR_RNDN);
        mpfr_add(r21030, r21027, r21029, MPFR_RNDN);
        mpfr_mul(r21031, r21025, r21030, MPFR_RNDN);
        return mpfr_get_d(r21031, MPFR_RNDN);
}

static mpfr_t r21032, r21033, r21034, r21035, r21036, r21037, r21038, r21039, r21040, r21041, r21042, r21043, r21044, r21045, r21046;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21032);
        mpfr_init(r21033);
        mpfr_init_set_str(r21034, "3", 10, MPFR_RNDN);
        mpfr_init(r21035);
        mpfr_init_set_str(r21036, "2", 10, MPFR_RNDN);
        mpfr_init(r21037);
        mpfr_init(r21038);
        mpfr_init(r21039);
        mpfr_init(r21040);
        mpfr_init(r21041);
        mpfr_init(r21042);
        mpfr_init(r21043);
        mpfr_init(r21044);
        mpfr_init(r21045);
        mpfr_init(r21046);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r21032, th, MPFR_RNDN);
        mpfr_cos(r21033, r21032, MPFR_RNDN);
        ;
        mpfr_pow(r21035, r21033, r21034, MPFR_RNDN);
        ;
        mpfr_sqrt(r21037, r21036, MPFR_RNDN);
        mpfr_add(r21038, r21037, r21037, MPFR_RNDN);
        mpfr_div(r21039, r21035, r21038, MPFR_RNDN);
        mpfr_cbrt(r21040, r21039, MPFR_RNDN);
        mpfr_set_d(r21041, a2, MPFR_RNDN);
        mpfr_mul(r21042, r21041, r21041, MPFR_RNDN);
        mpfr_set_d(r21043, a1, MPFR_RNDN);
        mpfr_mul(r21044, r21043, r21043, MPFR_RNDN);
        mpfr_add(r21045, r21042, r21044, MPFR_RNDN);
        mpfr_mul(r21046, r21040, r21045, MPFR_RNDN);
        return mpfr_get_d(r21046, MPFR_RNDN);
}