#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 r22015 = th;
        float r22016 = cos(r22015);
        float r22017 = 2;
        float r22018 = sqrt(r22017);
        float r22019 = r22016 / r22018;
        float r22020 = a1;
        float r22021 = r22020 * r22020;
        float r22022 = r22019 * r22021;
        float r22023 = a2;
        float r22024 = r22023 * r22023;
        float r22025 = r22019 * r22024;
        float r22026 = r22022 + r22025;
        return r22026;
}

double f_id(double a1, double a2, double th) {
        double r22027 = th;
        double r22028 = cos(r22027);
        double r22029 = 2;
        double r22030 = sqrt(r22029);
        double r22031 = r22028 / r22030;
        double r22032 = a1;
        double r22033 = r22032 * r22032;
        double r22034 = r22031 * r22033;
        double r22035 = a2;
        double r22036 = r22035 * r22035;
        double r22037 = r22031 * r22036;
        double r22038 = r22034 + r22037;
        return r22038;
}


double f_of(float a1, float a2, float th) {
        float r22039 = th;
        float r22040 = cos(r22039);
        float r22041 = a1;
        float r22042 = a2;
        float r22043 = r22042 * r22042;
        float r22044 = fma(r22041, r22041, r22043);
        float r22045 = 2;
        float r22046 = sqrt(r22045);
        float r22047 = r22044 / r22046;
        float r22048 = r22040 * r22047;
        return r22048;
}

double f_od(double a1, double a2, double th) {
        double r22049 = th;
        double r22050 = cos(r22049);
        double r22051 = a1;
        double r22052 = a2;
        double r22053 = r22052 * r22052;
        double r22054 = fma(r22051, r22051, r22053);
        double r22055 = 2;
        double r22056 = sqrt(r22055);
        double r22057 = r22054 / r22056;
        double r22058 = r22050 * r22057;
        return r22058;
}

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 r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init_set_str(r22061, "2", 10, MPFR_RNDN);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init(r22069);
        mpfr_init(r22070);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22059, th, MPFR_RNDN);
        mpfr_cos(r22060, r22059, MPFR_RNDN);
        ;
        mpfr_sqrt(r22062, r22061, MPFR_RNDN);
        mpfr_div(r22063, r22060, r22062, MPFR_RNDN);
        mpfr_set_d(r22064, a1, MPFR_RNDN);
        mpfr_mul(r22065, r22064, r22064, MPFR_RNDN);
        mpfr_mul(r22066, r22063, r22065, MPFR_RNDN);
        mpfr_set_d(r22067, a2, MPFR_RNDN);
        mpfr_mul(r22068, r22067, r22067, MPFR_RNDN);
        mpfr_mul(r22069, r22063, r22068, MPFR_RNDN);
        mpfr_add(r22070, r22066, r22069, MPFR_RNDN);
        return mpfr_get_d(r22070, MPFR_RNDN);
}

static mpfr_t r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init(r22074);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init_set_str(r22077, "2", 10, MPFR_RNDN);
        mpfr_init(r22078);
        mpfr_init(r22079);
        mpfr_init(r22080);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22071, th, MPFR_RNDN);
        mpfr_cos(r22072, r22071, MPFR_RNDN);
        mpfr_set_d(r22073, a1, MPFR_RNDN);
        mpfr_set_d(r22074, a2, MPFR_RNDN);
        mpfr_mul(r22075, r22074, r22074, MPFR_RNDN);
        mpfr_fma(r22076, r22073, r22073, r22075, MPFR_RNDN);
        ;
        mpfr_sqrt(r22078, r22077, MPFR_RNDN);
        mpfr_div(r22079, r22076, r22078, MPFR_RNDN);
        mpfr_mul(r22080, r22072, r22079, MPFR_RNDN);
        return mpfr_get_d(r22080, MPFR_RNDN);
}

static mpfr_t r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init_set_str(r22087, "2", 10, MPFR_RNDN);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22081, th, MPFR_RNDN);
        mpfr_cos(r22082, r22081, MPFR_RNDN);
        mpfr_set_d(r22083, a1, MPFR_RNDN);
        mpfr_set_d(r22084, a2, MPFR_RNDN);
        mpfr_mul(r22085, r22084, r22084, MPFR_RNDN);
        mpfr_fma(r22086, r22083, r22083, r22085, MPFR_RNDN);
        ;
        mpfr_sqrt(r22088, r22087, MPFR_RNDN);
        mpfr_div(r22089, r22086, r22088, MPFR_RNDN);
        mpfr_mul(r22090, r22082, r22089, MPFR_RNDN);
        return mpfr_get_d(r22090, MPFR_RNDN);
}