#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 r20957 = th;
        float r20958 = cos(r20957);
        float r20959 = 2;
        float r20960 = sqrt(r20959);
        float r20961 = r20958 / r20960;
        float r20962 = a1;
        float r20963 = r20962 * r20962;
        float r20964 = r20961 * r20963;
        float r20965 = a2;
        float r20966 = r20965 * r20965;
        float r20967 = r20961 * r20966;
        float r20968 = r20964 + r20967;
        return r20968;
}

double f_id(double a1, double a2, double th) {
        double r20969 = th;
        double r20970 = cos(r20969);
        double r20971 = 2;
        double r20972 = sqrt(r20971);
        double r20973 = r20970 / r20972;
        double r20974 = a1;
        double r20975 = r20974 * r20974;
        double r20976 = r20973 * r20975;
        double r20977 = a2;
        double r20978 = r20977 * r20977;
        double r20979 = r20973 * r20978;
        double r20980 = r20976 + r20979;
        return r20980;
}


double f_of(float a1, float a2, float th) {
        float r20981 = th;
        float r20982 = cos(r20981);
        float r20983 = 2;
        float r20984 = sqrt(r20983);
        float r20985 = sqrt(r20984);
        float r20986 = r20982 / r20985;
        float r20987 = r20986 / r20985;
        float r20988 = a2;
        float r20989 = r20988 * r20988;
        float r20990 = a1;
        float r20991 = r20990 * r20990;
        float r20992 = r20989 + r20991;
        float r20993 = r20987 * r20992;
        return r20993;
}

double f_od(double a1, double a2, double th) {
        double r20994 = th;
        double r20995 = cos(r20994);
        double r20996 = 2;
        double r20997 = sqrt(r20996);
        double r20998 = sqrt(r20997);
        double r20999 = r20995 / r20998;
        double r21000 = r20999 / r20998;
        double r21001 = a2;
        double r21002 = r21001 * r21001;
        double r21003 = a1;
        double r21004 = r21003 * r21003;
        double r21005 = r21002 + r21004;
        double r21006 = r21000 * r21005;
        return r21006;
}

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 r21007, r21008, r21009, r21010, r21011, r21012, r21013, r21014, r21015, r21016, r21017, r21018;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21007);
        mpfr_init(r21008);
        mpfr_init_set_str(r21009, "2", 10, MPFR_RNDN);
        mpfr_init(r21010);
        mpfr_init(r21011);
        mpfr_init(r21012);
        mpfr_init(r21013);
        mpfr_init(r21014);
        mpfr_init(r21015);
        mpfr_init(r21016);
        mpfr_init(r21017);
        mpfr_init(r21018);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r21007, th, MPFR_RNDN);
        mpfr_cos(r21008, r21007, MPFR_RNDN);
        ;
        mpfr_sqrt(r21010, r21009, MPFR_RNDN);
        mpfr_div(r21011, r21008, r21010, MPFR_RNDN);
        mpfr_set_d(r21012, a1, MPFR_RNDN);
        mpfr_mul(r21013, r21012, r21012, MPFR_RNDN);
        mpfr_mul(r21014, r21011, r21013, MPFR_RNDN);
        mpfr_set_d(r21015, a2, MPFR_RNDN);
        mpfr_mul(r21016, r21015, r21015, MPFR_RNDN);
        mpfr_mul(r21017, r21011, r21016, MPFR_RNDN);
        mpfr_add(r21018, r21014, r21017, MPFR_RNDN);
        return mpfr_get_d(r21018, MPFR_RNDN);
}

static mpfr_t 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(r21019);
        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(r21019, th, MPFR_RNDN);
        mpfr_cos(r21020, r21019, MPFR_RNDN);
        ;
        mpfr_sqrt(r21022, r21021, MPFR_RNDN);
        mpfr_sqrt(r21023, r21022, MPFR_RNDN);
        mpfr_div(r21024, r21020, r21023, MPFR_RNDN);
        mpfr_div(r21025, r21024, r21023, 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;

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

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