#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 r23012 = th;
        float r23013 = cos(r23012);
        float r23014 = 2;
        float r23015 = sqrt(r23014);
        float r23016 = r23013 / r23015;
        float r23017 = a1;
        float r23018 = r23017 * r23017;
        float r23019 = r23016 * r23018;
        float r23020 = a2;
        float r23021 = r23020 * r23020;
        float r23022 = r23016 * r23021;
        float r23023 = r23019 + r23022;
        return r23023;
}

double f_id(double a1, double a2, double th) {
        double r23024 = th;
        double r23025 = cos(r23024);
        double r23026 = 2;
        double r23027 = sqrt(r23026);
        double r23028 = r23025 / r23027;
        double r23029 = a1;
        double r23030 = r23029 * r23029;
        double r23031 = r23028 * r23030;
        double r23032 = a2;
        double r23033 = r23032 * r23032;
        double r23034 = r23028 * r23033;
        double r23035 = r23031 + r23034;
        return r23035;
}


double f_of(float a1, float a2, float th) {
        float r23036 = a1;
        float r23037 = a2;
        float r23038 = hypot(r23036, r23037);
        float r23039 = th;
        float r23040 = cos(r23039);
        float r23041 = r23038 * r23040;
        float r23042 = 2;
        float r23043 = sqrt(r23042);
        float r23044 = r23041 / r23043;
        float r23045 = r23037 * r23037;
        float r23046 = fma(r23036, r23036, r23045);
        float r23047 = sqrt(r23046);
        float r23048 = r23044 * r23047;
        return r23048;
}

double f_od(double a1, double a2, double th) {
        double r23049 = a1;
        double r23050 = a2;
        double r23051 = hypot(r23049, r23050);
        double r23052 = th;
        double r23053 = cos(r23052);
        double r23054 = r23051 * r23053;
        double r23055 = 2;
        double r23056 = sqrt(r23055);
        double r23057 = r23054 / r23056;
        double r23058 = r23050 * r23050;
        double r23059 = fma(r23049, r23049, r23058);
        double r23060 = sqrt(r23059);
        double r23061 = r23057 * r23060;
        return r23061;
}

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 r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init_set_str(r23064, "2", 10, MPFR_RNDN);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23062, th, MPFR_RNDN);
        mpfr_cos(r23063, r23062, MPFR_RNDN);
        ;
        mpfr_sqrt(r23065, r23064, MPFR_RNDN);
        mpfr_div(r23066, r23063, r23065, MPFR_RNDN);
        mpfr_set_d(r23067, a1, MPFR_RNDN);
        mpfr_mul(r23068, r23067, r23067, MPFR_RNDN);
        mpfr_mul(r23069, r23066, r23068, MPFR_RNDN);
        mpfr_set_d(r23070, a2, MPFR_RNDN);
        mpfr_mul(r23071, r23070, r23070, MPFR_RNDN);
        mpfr_mul(r23072, r23066, r23071, MPFR_RNDN);
        mpfr_add(r23073, r23069, r23072, MPFR_RNDN);
        return mpfr_get_d(r23073, MPFR_RNDN);
}

static mpfr_t r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init_set_str(r23080, "2", 10, MPFR_RNDN);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23074, a1, MPFR_RNDN);
        mpfr_set_d(r23075, a2, MPFR_RNDN);
        mpfr_hypot(r23076, r23074, r23075, MPFR_RNDN);
        mpfr_set_d(r23077, th, MPFR_RNDN);
        mpfr_cos(r23078, r23077, MPFR_RNDN);
        mpfr_mul(r23079, r23076, r23078, MPFR_RNDN);
        ;
        mpfr_sqrt(r23081, r23080, MPFR_RNDN);
        mpfr_div(r23082, r23079, r23081, MPFR_RNDN);
        mpfr_mul(r23083, r23075, r23075, MPFR_RNDN);
        mpfr_fma(r23084, r23074, r23074, r23083, MPFR_RNDN);
        mpfr_sqrt(r23085, r23084, MPFR_RNDN);
        mpfr_mul(r23086, r23082, r23085, MPFR_RNDN);
        return mpfr_get_d(r23086, MPFR_RNDN);
}

static mpfr_t r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init_set_str(r23093, "2", 10, MPFR_RNDN);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23087, a1, MPFR_RNDN);
        mpfr_set_d(r23088, a2, MPFR_RNDN);
        mpfr_hypot(r23089, r23087, r23088, MPFR_RNDN);
        mpfr_set_d(r23090, th, MPFR_RNDN);
        mpfr_cos(r23091, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23089, r23091, MPFR_RNDN);
        ;
        mpfr_sqrt(r23094, r23093, MPFR_RNDN);
        mpfr_div(r23095, r23092, r23094, MPFR_RNDN);
        mpfr_mul(r23096, r23088, r23088, MPFR_RNDN);
        mpfr_fma(r23097, r23087, r23087, r23096, MPFR_RNDN);
        mpfr_sqrt(r23098, r23097, MPFR_RNDN);
        mpfr_mul(r23099, r23095, r23098, MPFR_RNDN);
        return mpfr_get_d(r23099, MPFR_RNDN);
}