#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 r23035 = th;
        float r23036 = cos(r23035);
        float r23037 = 2;
        float r23038 = sqrt(r23037);
        float r23039 = r23036 / r23038;
        float r23040 = a1;
        float r23041 = r23040 * r23040;
        float r23042 = r23039 * r23041;
        float r23043 = a2;
        float r23044 = r23043 * r23043;
        float r23045 = r23039 * r23044;
        float r23046 = r23042 + r23045;
        return r23046;
}

double f_id(double a1, double a2, double th) {
        double r23047 = th;
        double r23048 = cos(r23047);
        double r23049 = 2;
        double r23050 = sqrt(r23049);
        double r23051 = r23048 / r23050;
        double r23052 = a1;
        double r23053 = r23052 * r23052;
        double r23054 = r23051 * r23053;
        double r23055 = a2;
        double r23056 = r23055 * r23055;
        double r23057 = r23051 * r23056;
        double r23058 = r23054 + r23057;
        return r23058;
}


double f_of(float a1, float a2, float th) {
        float r23059 = th;
        float r23060 = cos(r23059);
        float r23061 = a2;
        float r23062 = r23061 * r23061;
        float r23063 = a1;
        float r23064 = r23063 * r23063;
        float r23065 = r23062 + r23064;
        float r23066 = r23060 * r23065;
        float r23067 = 2;
        float r23068 = sqrt(r23067);
        float r23069 = r23066 / r23068;
        return r23069;
}

double f_od(double a1, double a2, double th) {
        double r23070 = th;
        double r23071 = cos(r23070);
        double r23072 = a2;
        double r23073 = r23072 * r23072;
        double r23074 = a1;
        double r23075 = r23074 * r23074;
        double r23076 = r23073 + r23075;
        double r23077 = r23071 * r23076;
        double r23078 = 2;
        double r23079 = sqrt(r23078);
        double r23080 = r23077 / r23079;
        return r23080;
}

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 r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init_set_str(r23083, "2", 10, MPFR_RNDN);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23081, th, MPFR_RNDN);
        mpfr_cos(r23082, r23081, MPFR_RNDN);
        ;
        mpfr_sqrt(r23084, r23083, MPFR_RNDN);
        mpfr_div(r23085, r23082, r23084, MPFR_RNDN);
        mpfr_set_d(r23086, a1, MPFR_RNDN);
        mpfr_mul(r23087, r23086, r23086, MPFR_RNDN);
        mpfr_mul(r23088, r23085, r23087, MPFR_RNDN);
        mpfr_set_d(r23089, a2, MPFR_RNDN);
        mpfr_mul(r23090, r23089, r23089, MPFR_RNDN);
        mpfr_mul(r23091, r23085, r23090, MPFR_RNDN);
        mpfr_add(r23092, r23088, r23091, MPFR_RNDN);
        return mpfr_get_d(r23092, MPFR_RNDN);
}

static mpfr_t r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init_set_str(r23101, "2", 10, MPFR_RNDN);
        mpfr_init(r23102);
        mpfr_init(r23103);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23093, th, MPFR_RNDN);
        mpfr_cos(r23094, r23093, MPFR_RNDN);
        mpfr_set_d(r23095, a2, MPFR_RNDN);
        mpfr_mul(r23096, r23095, r23095, MPFR_RNDN);
        mpfr_set_d(r23097, a1, MPFR_RNDN);
        mpfr_mul(r23098, r23097, r23097, MPFR_RNDN);
        mpfr_add(r23099, r23096, r23098, MPFR_RNDN);
        mpfr_mul(r23100, r23094, r23099, MPFR_RNDN);
        ;
        mpfr_sqrt(r23102, r23101, MPFR_RNDN);
        mpfr_div(r23103, r23100, r23102, MPFR_RNDN);
        return mpfr_get_d(r23103, MPFR_RNDN);
}

static mpfr_t r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init_set_str(r23112, "2", 10, MPFR_RNDN);
        mpfr_init(r23113);
        mpfr_init(r23114);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23104, th, MPFR_RNDN);
        mpfr_cos(r23105, r23104, MPFR_RNDN);
        mpfr_set_d(r23106, a2, MPFR_RNDN);
        mpfr_mul(r23107, r23106, r23106, MPFR_RNDN);
        mpfr_set_d(r23108, a1, MPFR_RNDN);
        mpfr_mul(r23109, r23108, r23108, MPFR_RNDN);
        mpfr_add(r23110, r23107, r23109, MPFR_RNDN);
        mpfr_mul(r23111, r23105, r23110, MPFR_RNDN);
        ;
        mpfr_sqrt(r23113, r23112, MPFR_RNDN);
        mpfr_div(r23114, r23111, r23113, MPFR_RNDN);
        return mpfr_get_d(r23114, MPFR_RNDN);
}