#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 r22944 = th;
        float r22945 = cos(r22944);
        float r22946 = 2;
        float r22947 = sqrt(r22946);
        float r22948 = r22945 / r22947;
        float r22949 = a1;
        float r22950 = r22949 * r22949;
        float r22951 = r22948 * r22950;
        float r22952 = a2;
        float r22953 = r22952 * r22952;
        float r22954 = r22948 * r22953;
        float r22955 = r22951 + r22954;
        return r22955;
}

double f_id(double a1, double a2, double th) {
        double r22956 = th;
        double r22957 = cos(r22956);
        double r22958 = 2;
        double r22959 = sqrt(r22958);
        double r22960 = r22957 / r22959;
        double r22961 = a1;
        double r22962 = r22961 * r22961;
        double r22963 = r22960 * r22962;
        double r22964 = a2;
        double r22965 = r22964 * r22964;
        double r22966 = r22960 * r22965;
        double r22967 = r22963 + r22966;
        return r22967;
}


double f_of(float a1, float a2, float th) {
        float r22968 = a1;
        float r22969 = a2;
        float r22970 = hypot(r22968, r22969);
        float r22971 = th;
        float r22972 = cos(r22971);
        float r22973 = r22970 * r22972;
        float r22974 = 2;
        float r22975 = sqrt(r22974);
        float r22976 = r22973 / r22975;
        float r22977 = r22976 * r22970;
        return r22977;
}

double f_od(double a1, double a2, double th) {
        double r22978 = a1;
        double r22979 = a2;
        double r22980 = hypot(r22978, r22979);
        double r22981 = th;
        double r22982 = cos(r22981);
        double r22983 = r22980 * r22982;
        double r22984 = 2;
        double r22985 = sqrt(r22984);
        double r22986 = r22983 / r22985;
        double r22987 = r22986 * r22980;
        return r22987;
}

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 r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init_set_str(r22990, "2", 10, MPFR_RNDN);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22988, th, MPFR_RNDN);
        mpfr_cos(r22989, r22988, MPFR_RNDN);
        ;
        mpfr_sqrt(r22991, r22990, MPFR_RNDN);
        mpfr_div(r22992, r22989, r22991, MPFR_RNDN);
        mpfr_set_d(r22993, a1, MPFR_RNDN);
        mpfr_mul(r22994, r22993, r22993, MPFR_RNDN);
        mpfr_mul(r22995, r22992, r22994, MPFR_RNDN);
        mpfr_set_d(r22996, a2, MPFR_RNDN);
        mpfr_mul(r22997, r22996, r22996, MPFR_RNDN);
        mpfr_mul(r22998, r22992, r22997, MPFR_RNDN);
        mpfr_add(r22999, r22995, r22998, MPFR_RNDN);
        return mpfr_get_d(r22999, MPFR_RNDN);
}

static mpfr_t r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init_set_str(r23006, "2", 10, MPFR_RNDN);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23000, a1, MPFR_RNDN);
        mpfr_set_d(r23001, a2, MPFR_RNDN);
        mpfr_hypot(r23002, r23000, r23001, MPFR_RNDN);
        mpfr_set_d(r23003, th, MPFR_RNDN);
        mpfr_cos(r23004, r23003, MPFR_RNDN);
        mpfr_mul(r23005, r23002, r23004, MPFR_RNDN);
        ;
        mpfr_sqrt(r23007, r23006, MPFR_RNDN);
        mpfr_div(r23008, r23005, r23007, MPFR_RNDN);
        mpfr_mul(r23009, r23008, r23002, MPFR_RNDN);
        return mpfr_get_d(r23009, MPFR_RNDN);
}

static mpfr_t r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init_set_str(r23016, "2", 10, MPFR_RNDN);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23010, a1, MPFR_RNDN);
        mpfr_set_d(r23011, a2, MPFR_RNDN);
        mpfr_hypot(r23012, r23010, r23011, MPFR_RNDN);
        mpfr_set_d(r23013, th, MPFR_RNDN);
        mpfr_cos(r23014, r23013, MPFR_RNDN);
        mpfr_mul(r23015, r23012, r23014, MPFR_RNDN);
        ;
        mpfr_sqrt(r23017, r23016, MPFR_RNDN);
        mpfr_div(r23018, r23015, r23017, MPFR_RNDN);
        mpfr_mul(r23019, r23018, r23012, MPFR_RNDN);
        return mpfr_get_d(r23019, MPFR_RNDN);
}