#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 r23039 = th;
        float r23040 = cos(r23039);
        float r23041 = 2;
        float r23042 = sqrt(r23041);
        float r23043 = r23040 / r23042;
        float r23044 = a1;
        float r23045 = r23044 * r23044;
        float r23046 = r23043 * r23045;
        float r23047 = a2;
        float r23048 = r23047 * r23047;
        float r23049 = r23043 * r23048;
        float r23050 = r23046 + r23049;
        return r23050;
}

double f_id(double a1, double a2, double th) {
        double r23051 = th;
        double r23052 = cos(r23051);
        double r23053 = 2;
        double r23054 = sqrt(r23053);
        double r23055 = r23052 / r23054;
        double r23056 = a1;
        double r23057 = r23056 * r23056;
        double r23058 = r23055 * r23057;
        double r23059 = a2;
        double r23060 = r23059 * r23059;
        double r23061 = r23055 * r23060;
        double r23062 = r23058 + r23061;
        return r23062;
}


double f_of(float a1, float a2, float th) {
        float r23063 = th;
        float r23064 = cos(r23063);
        float r23065 = 2;
        float r23066 = sqrt(r23065);
        float r23067 = r23064 / r23066;
        float r23068 = a1;
        float r23069 = r23068 * r23068;
        float r23070 = r23067 * r23069;
        float r23071 = a2;
        float r23072 = r23067 * r23071;
        float r23073 = r23072 * r23071;
        float r23074 = r23070 + r23073;
        return r23074;
}

double f_od(double a1, double a2, double th) {
        double r23075 = th;
        double r23076 = cos(r23075);
        double r23077 = 2;
        double r23078 = sqrt(r23077);
        double r23079 = r23076 / r23078;
        double r23080 = a1;
        double r23081 = r23080 * r23080;
        double r23082 = r23079 * r23081;
        double r23083 = a2;
        double r23084 = r23079 * r23083;
        double r23085 = r23084 * r23083;
        double r23086 = r23082 + r23085;
        return r23086;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init_set_str(r23089, "2", 10, MPFR_RNDN);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
}

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

static mpfr_t r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init_set_str(r23101, "2", 10, MPFR_RNDN);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23099, th, MPFR_RNDN);
        mpfr_cos(r23100, r23099, MPFR_RNDN);
        ;
        mpfr_sqrt(r23102, r23101, MPFR_RNDN);
        mpfr_div(r23103, r23100, r23102, MPFR_RNDN);
        mpfr_set_d(r23104, a1, MPFR_RNDN);
        mpfr_mul(r23105, r23104, r23104, MPFR_RNDN);
        mpfr_mul(r23106, r23103, r23105, MPFR_RNDN);
        mpfr_set_d(r23107, a2, MPFR_RNDN);
        mpfr_mul(r23108, r23103, r23107, MPFR_RNDN);
        mpfr_mul(r23109, r23108, r23107, MPFR_RNDN);
        mpfr_add(r23110, r23106, r23109, MPFR_RNDN);
        return mpfr_get_d(r23110, MPFR_RNDN);
}

static mpfr_t r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init_set_str(r23113, "2", 10, MPFR_RNDN);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23111, th, MPFR_RNDN);
        mpfr_cos(r23112, r23111, MPFR_RNDN);
        ;
        mpfr_sqrt(r23114, r23113, MPFR_RNDN);
        mpfr_div(r23115, r23112, r23114, MPFR_RNDN);
        mpfr_set_d(r23116, a1, MPFR_RNDN);
        mpfr_mul(r23117, r23116, r23116, MPFR_RNDN);
        mpfr_mul(r23118, r23115, r23117, MPFR_RNDN);
        mpfr_set_d(r23119, a2, MPFR_RNDN);
        mpfr_mul(r23120, r23115, r23119, MPFR_RNDN);
        mpfr_mul(r23121, r23120, r23119, MPFR_RNDN);
        mpfr_add(r23122, r23118, r23121, MPFR_RNDN);
        return mpfr_get_d(r23122, MPFR_RNDN);
}