#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 r23028 = th;
        float r23029 = cos(r23028);
        float r23030 = 2;
        float r23031 = sqrt(r23030);
        float r23032 = r23029 / r23031;
        float r23033 = a1;
        float r23034 = r23033 * r23033;
        float r23035 = r23032 * r23034;
        float r23036 = a2;
        float r23037 = r23036 * r23036;
        float r23038 = r23032 * r23037;
        float r23039 = r23035 + r23038;
        return r23039;
}

double f_id(double a1, double a2, double th) {
        double r23040 = th;
        double r23041 = cos(r23040);
        double r23042 = 2;
        double r23043 = sqrt(r23042);
        double r23044 = r23041 / r23043;
        double r23045 = a1;
        double r23046 = r23045 * r23045;
        double r23047 = r23044 * r23046;
        double r23048 = a2;
        double r23049 = r23048 * r23048;
        double r23050 = r23044 * r23049;
        double r23051 = r23047 + r23050;
        return r23051;
}


double f_of(float a1, float a2, float th) {
        float r23052 = th;
        float r23053 = cos(r23052);
        float r23054 = 2;
        float r23055 = sqrt(r23054);
        float r23056 = sqrt(r23055);
        float r23057 = r23053 / r23056;
        float r23058 = r23057 / r23056;
        float r23059 = a1;
        float r23060 = a2;
        float r23061 = r23060 * r23060;
        float r23062 = fma(r23059, r23059, r23061);
        float r23063 = r23058 * r23062;
        return r23063;
}

double f_od(double a1, double a2, double th) {
        double r23064 = th;
        double r23065 = cos(r23064);
        double r23066 = 2;
        double r23067 = sqrt(r23066);
        double r23068 = sqrt(r23067);
        double r23069 = r23065 / r23068;
        double r23070 = r23069 / r23068;
        double r23071 = a1;
        double r23072 = a2;
        double r23073 = r23072 * r23072;
        double r23074 = fma(r23071, r23071, r23073);
        double r23075 = r23070 * r23074;
        return r23075;
}

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 r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init_set_str(r23078, "2", 10, MPFR_RNDN);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23076, th, MPFR_RNDN);
        mpfr_cos(r23077, r23076, MPFR_RNDN);
        ;
        mpfr_sqrt(r23079, r23078, MPFR_RNDN);
        mpfr_div(r23080, r23077, r23079, MPFR_RNDN);
        mpfr_set_d(r23081, a1, MPFR_RNDN);
        mpfr_mul(r23082, r23081, r23081, MPFR_RNDN);
        mpfr_mul(r23083, r23080, r23082, MPFR_RNDN);
        mpfr_set_d(r23084, a2, MPFR_RNDN);
        mpfr_mul(r23085, r23084, r23084, MPFR_RNDN);
        mpfr_mul(r23086, r23080, r23085, MPFR_RNDN);
        mpfr_add(r23087, r23083, r23086, MPFR_RNDN);
        return mpfr_get_d(r23087, MPFR_RNDN);
}

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

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

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

static mpfr_t r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init_set_str(r23102, "2", 10, MPFR_RNDN);
        mpfr_init(r23103);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23100, th, MPFR_RNDN);
        mpfr_cos(r23101, r23100, MPFR_RNDN);
        ;
        mpfr_sqrt(r23103, r23102, MPFR_RNDN);
        mpfr_sqrt(r23104, r23103, MPFR_RNDN);
        mpfr_div(r23105, r23101, r23104, MPFR_RNDN);
        mpfr_div(r23106, r23105, r23104, MPFR_RNDN);
        mpfr_set_d(r23107, a1, MPFR_RNDN);
        mpfr_set_d(r23108, a2, MPFR_RNDN);
        mpfr_mul(r23109, r23108, r23108, MPFR_RNDN);
        mpfr_fma(r23110, r23107, r23107, r23109, MPFR_RNDN);
        mpfr_mul(r23111, r23106, r23110, MPFR_RNDN);
        return mpfr_get_d(r23111, MPFR_RNDN);
}