#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 r22976 = th;
        float r22977 = cos(r22976);
        float r22978 = 2;
        float r22979 = sqrt(r22978);
        float r22980 = r22977 / r22979;
        float r22981 = a1;
        float r22982 = r22981 * r22981;
        float r22983 = r22980 * r22982;
        float r22984 = a2;
        float r22985 = r22984 * r22984;
        float r22986 = r22980 * r22985;
        float r22987 = r22983 + r22986;
        return r22987;
}

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


double f_of(float a1, float a2, float th) {
        float r23000 = th;
        float r23001 = cos(r23000);
        float r23002 = a1;
        float r23003 = r23002 * r23002;
        float r23004 = a2;
        float r23005 = r23004 * r23004;
        float r23006 = r23003 + r23005;
        float r23007 = 2;
        float r23008 = sqrt(r23007);
        float r23009 = r23006 / r23008;
        float r23010 = r23001 * r23009;
        return r23010;
}

double f_od(double a1, double a2, double th) {
        double r23011 = th;
        double r23012 = cos(r23011);
        double r23013 = a1;
        double r23014 = r23013 * r23013;
        double r23015 = a2;
        double r23016 = r23015 * r23015;
        double r23017 = r23014 + r23016;
        double r23018 = 2;
        double r23019 = sqrt(r23018);
        double r23020 = r23017 / r23019;
        double r23021 = r23012 * r23020;
        return r23021;
}

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 r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init_set_str(r23024, "2", 10, MPFR_RNDN);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23022, th, MPFR_RNDN);
        mpfr_cos(r23023, r23022, MPFR_RNDN);
        ;
        mpfr_sqrt(r23025, r23024, MPFR_RNDN);
        mpfr_div(r23026, r23023, r23025, MPFR_RNDN);
        mpfr_set_d(r23027, a1, MPFR_RNDN);
        mpfr_mul(r23028, r23027, r23027, MPFR_RNDN);
        mpfr_mul(r23029, r23026, r23028, MPFR_RNDN);
        mpfr_set_d(r23030, a2, MPFR_RNDN);
        mpfr_mul(r23031, r23030, r23030, MPFR_RNDN);
        mpfr_mul(r23032, r23026, r23031, MPFR_RNDN);
        mpfr_add(r23033, r23029, r23032, MPFR_RNDN);
        return mpfr_get_d(r23033, MPFR_RNDN);
}

static mpfr_t r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init_set_str(r23041, "2", 10, MPFR_RNDN);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23034, th, MPFR_RNDN);
        mpfr_cos(r23035, r23034, MPFR_RNDN);
        mpfr_set_d(r23036, a1, MPFR_RNDN);
        mpfr_mul(r23037, r23036, r23036, MPFR_RNDN);
        mpfr_set_d(r23038, a2, MPFR_RNDN);
        mpfr_mul(r23039, r23038, r23038, MPFR_RNDN);
        mpfr_add(r23040, r23037, r23039, MPFR_RNDN);
        ;
        mpfr_sqrt(r23042, r23041, MPFR_RNDN);
        mpfr_div(r23043, r23040, r23042, MPFR_RNDN);
        mpfr_mul(r23044, r23035, r23043, MPFR_RNDN);
        return mpfr_get_d(r23044, MPFR_RNDN);
}

static mpfr_t r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init_set_str(r23052, "2", 10, MPFR_RNDN);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23045, th, MPFR_RNDN);
        mpfr_cos(r23046, r23045, MPFR_RNDN);
        mpfr_set_d(r23047, a1, MPFR_RNDN);
        mpfr_mul(r23048, r23047, r23047, MPFR_RNDN);
        mpfr_set_d(r23049, a2, MPFR_RNDN);
        mpfr_mul(r23050, r23049, r23049, MPFR_RNDN);
        mpfr_add(r23051, r23048, r23050, MPFR_RNDN);
        ;
        mpfr_sqrt(r23053, r23052, MPFR_RNDN);
        mpfr_div(r23054, r23051, r23053, MPFR_RNDN);
        mpfr_mul(r23055, r23046, r23054, MPFR_RNDN);
        return mpfr_get_d(r23055, MPFR_RNDN);
}