#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 r22950 = th;
        float r22951 = cos(r22950);
        float r22952 = 2;
        float r22953 = sqrt(r22952);
        float r22954 = r22951 / r22953;
        float r22955 = a1;
        float r22956 = r22955 * r22955;
        float r22957 = r22954 * r22956;
        float r22958 = a2;
        float r22959 = r22958 * r22958;
        float r22960 = r22954 * r22959;
        float r22961 = r22957 + r22960;
        return r22961;
}

double f_id(double a1, double a2, double th) {
        double r22962 = th;
        double r22963 = cos(r22962);
        double r22964 = 2;
        double r22965 = sqrt(r22964);
        double r22966 = r22963 / r22965;
        double r22967 = a1;
        double r22968 = r22967 * r22967;
        double r22969 = r22966 * r22968;
        double r22970 = a2;
        double r22971 = r22970 * r22970;
        double r22972 = r22966 * r22971;
        double r22973 = r22969 + r22972;
        return r22973;
}


double f_of(float a1, float a2, float th) {
        float r22974 = th;
        float r22975 = cos(r22974);
        float r22976 = 2;
        float r22977 = sqrt(r22976);
        float r22978 = r22975 / r22977;
        float r22979 = a1;
        float r22980 = r22979 * r22979;
        float r22981 = r22978 * r22980;
        float r22982 = a2;
        float r22983 = r22982 * r22982;
        float r22984 = r22983 / r22977;
        float r22985 = r22975 * r22984;
        float r22986 = r22981 + r22985;
        return r22986;
}

double f_od(double a1, double a2, double th) {
        double r22987 = th;
        double r22988 = cos(r22987);
        double r22989 = 2;
        double r22990 = sqrt(r22989);
        double r22991 = r22988 / r22990;
        double r22992 = a1;
        double r22993 = r22992 * r22992;
        double r22994 = r22991 * r22993;
        double r22995 = a2;
        double r22996 = r22995 * r22995;
        double r22997 = r22996 / r22990;
        double r22998 = r22988 * r22997;
        double r22999 = r22994 + r22998;
        return r22999;
}

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 r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init_set_str(r23002, "2", 10, MPFR_RNDN);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23000, th, MPFR_RNDN);
        mpfr_cos(r23001, r23000, MPFR_RNDN);
        ;
        mpfr_sqrt(r23003, r23002, MPFR_RNDN);
        mpfr_div(r23004, r23001, r23003, MPFR_RNDN);
        mpfr_set_d(r23005, a1, MPFR_RNDN);
        mpfr_mul(r23006, r23005, r23005, MPFR_RNDN);
        mpfr_mul(r23007, r23004, r23006, MPFR_RNDN);
        mpfr_set_d(r23008, a2, MPFR_RNDN);
        mpfr_mul(r23009, r23008, r23008, MPFR_RNDN);
        mpfr_mul(r23010, r23004, r23009, MPFR_RNDN);
        mpfr_add(r23011, r23007, r23010, MPFR_RNDN);
        return mpfr_get_d(r23011, MPFR_RNDN);
}

static mpfr_t r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init_set_str(r23014, "2", 10, MPFR_RNDN);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23012, th, MPFR_RNDN);
        mpfr_cos(r23013, r23012, MPFR_RNDN);
        ;
        mpfr_sqrt(r23015, r23014, MPFR_RNDN);
        mpfr_div(r23016, r23013, r23015, MPFR_RNDN);
        mpfr_set_d(r23017, a1, MPFR_RNDN);
        mpfr_mul(r23018, r23017, r23017, MPFR_RNDN);
        mpfr_mul(r23019, r23016, r23018, MPFR_RNDN);
        mpfr_set_d(r23020, a2, MPFR_RNDN);
        mpfr_mul(r23021, r23020, r23020, MPFR_RNDN);
        mpfr_div(r23022, r23021, r23015, MPFR_RNDN);
        mpfr_mul(r23023, r23013, r23022, MPFR_RNDN);
        mpfr_add(r23024, r23019, r23023, MPFR_RNDN);
        return mpfr_get_d(r23024, MPFR_RNDN);
}

static mpfr_t r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init_set_str(r23027, "2", 10, MPFR_RNDN);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init(r23037);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23025, th, MPFR_RNDN);
        mpfr_cos(r23026, r23025, MPFR_RNDN);
        ;
        mpfr_sqrt(r23028, r23027, MPFR_RNDN);
        mpfr_div(r23029, r23026, r23028, MPFR_RNDN);
        mpfr_set_d(r23030, a1, MPFR_RNDN);
        mpfr_mul(r23031, r23030, r23030, MPFR_RNDN);
        mpfr_mul(r23032, r23029, r23031, MPFR_RNDN);
        mpfr_set_d(r23033, a2, MPFR_RNDN);
        mpfr_mul(r23034, r23033, r23033, MPFR_RNDN);
        mpfr_div(r23035, r23034, r23028, MPFR_RNDN);
        mpfr_mul(r23036, r23026, r23035, MPFR_RNDN);
        mpfr_add(r23037, r23032, r23036, MPFR_RNDN);
        return mpfr_get_d(r23037, MPFR_RNDN);
}