#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 r22935 = th;
        float r22936 = cos(r22935);
        float r22937 = 2;
        float r22938 = sqrt(r22937);
        float r22939 = r22936 / r22938;
        float r22940 = a1;
        float r22941 = r22940 * r22940;
        float r22942 = r22939 * r22941;
        float r22943 = a2;
        float r22944 = r22943 * r22943;
        float r22945 = r22939 * r22944;
        float r22946 = r22942 + r22945;
        return r22946;
}

double f_id(double a1, double a2, double th) {
        double r22947 = th;
        double r22948 = cos(r22947);
        double r22949 = 2;
        double r22950 = sqrt(r22949);
        double r22951 = r22948 / r22950;
        double r22952 = a1;
        double r22953 = r22952 * r22952;
        double r22954 = r22951 * r22953;
        double r22955 = a2;
        double r22956 = r22955 * r22955;
        double r22957 = r22951 * r22956;
        double r22958 = r22954 + r22957;
        return r22958;
}


double f_of(float a1, float a2, float th) {
        float r22959 = th;
        float r22960 = cos(r22959);
        float r22961 = 2;
        float r22962 = sqrt(r22961);
        float r22963 = r22960 / r22962;
        float r22964 = a1;
        float r22965 = r22964 * r22964;
        float r22966 = r22963 * r22965;
        float r22967 = a2;
        float r22968 = r22967 * r22967;
        float r22969 = r22968 / r22962;
        float r22970 = r22960 * r22969;
        float r22971 = r22966 + r22970;
        return r22971;
}

double f_od(double a1, double a2, double th) {
        double r22972 = th;
        double r22973 = cos(r22972);
        double r22974 = 2;
        double r22975 = sqrt(r22974);
        double r22976 = r22973 / r22975;
        double r22977 = a1;
        double r22978 = r22977 * r22977;
        double r22979 = r22976 * r22978;
        double r22980 = a2;
        double r22981 = r22980 * r22980;
        double r22982 = r22981 / r22975;
        double r22983 = r22973 * r22982;
        double r22984 = r22979 + r22983;
        return r22984;
}

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 r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init_set_str(r22987, "2", 10, MPFR_RNDN);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22985, th, MPFR_RNDN);
        mpfr_cos(r22986, r22985, MPFR_RNDN);
        ;
        mpfr_sqrt(r22988, r22987, MPFR_RNDN);
        mpfr_div(r22989, r22986, r22988, MPFR_RNDN);
        mpfr_set_d(r22990, a1, MPFR_RNDN);
        mpfr_mul(r22991, r22990, r22990, MPFR_RNDN);
        mpfr_mul(r22992, r22989, r22991, MPFR_RNDN);
        mpfr_set_d(r22993, a2, MPFR_RNDN);
        mpfr_mul(r22994, r22993, r22993, MPFR_RNDN);
        mpfr_mul(r22995, r22989, r22994, MPFR_RNDN);
        mpfr_add(r22996, r22992, r22995, MPFR_RNDN);
        return mpfr_get_d(r22996, MPFR_RNDN);
}

static mpfr_t r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init_set_str(r22999, "2", 10, MPFR_RNDN);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22997, th, MPFR_RNDN);
        mpfr_cos(r22998, r22997, MPFR_RNDN);
        ;
        mpfr_sqrt(r23000, r22999, MPFR_RNDN);
        mpfr_div(r23001, r22998, r23000, MPFR_RNDN);
        mpfr_set_d(r23002, a1, MPFR_RNDN);
        mpfr_mul(r23003, r23002, r23002, MPFR_RNDN);
        mpfr_mul(r23004, r23001, r23003, MPFR_RNDN);
        mpfr_set_d(r23005, a2, MPFR_RNDN);
        mpfr_mul(r23006, r23005, r23005, MPFR_RNDN);
        mpfr_div(r23007, r23006, r23000, MPFR_RNDN);
        mpfr_mul(r23008, r22998, r23007, MPFR_RNDN);
        mpfr_add(r23009, r23004, r23008, MPFR_RNDN);
        return mpfr_get_d(r23009, MPFR_RNDN);
}

static mpfr_t r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init_set_str(r23012, "2", 10, MPFR_RNDN);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23010, th, MPFR_RNDN);
        mpfr_cos(r23011, r23010, MPFR_RNDN);
        ;
        mpfr_sqrt(r23013, r23012, MPFR_RNDN);
        mpfr_div(r23014, r23011, r23013, MPFR_RNDN);
        mpfr_set_d(r23015, a1, MPFR_RNDN);
        mpfr_mul(r23016, r23015, r23015, MPFR_RNDN);
        mpfr_mul(r23017, r23014, r23016, MPFR_RNDN);
        mpfr_set_d(r23018, a2, MPFR_RNDN);
        mpfr_mul(r23019, r23018, r23018, MPFR_RNDN);
        mpfr_div(r23020, r23019, r23013, MPFR_RNDN);
        mpfr_mul(r23021, r23011, r23020, MPFR_RNDN);
        mpfr_add(r23022, r23017, r23021, MPFR_RNDN);
        return mpfr_get_d(r23022, MPFR_RNDN);
}