#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 r22677 = th;
        float r22678 = cos(r22677);
        float r22679 = 2;
        float r22680 = sqrt(r22679);
        float r22681 = r22678 / r22680;
        float r22682 = a1;
        float r22683 = r22682 * r22682;
        float r22684 = r22681 * r22683;
        float r22685 = a2;
        float r22686 = r22685 * r22685;
        float r22687 = r22681 * r22686;
        float r22688 = r22684 + r22687;
        return r22688;
}

double f_id(double a1, double a2, double th) {
        double r22689 = th;
        double r22690 = cos(r22689);
        double r22691 = 2;
        double r22692 = sqrt(r22691);
        double r22693 = r22690 / r22692;
        double r22694 = a1;
        double r22695 = r22694 * r22694;
        double r22696 = r22693 * r22695;
        double r22697 = a2;
        double r22698 = r22697 * r22697;
        double r22699 = r22693 * r22698;
        double r22700 = r22696 + r22699;
        return r22700;
}


double f_of(float a1, float a2, float th) {
        float r22701 = th;
        float r22702 = cos(r22701);
        float r22703 = 2;
        float r22704 = sqrt(r22703);
        float r22705 = r22702 / r22704;
        float r22706 = a1;
        float r22707 = r22705 * r22706;
        float r22708 = r22707 * r22706;
        float r22709 = a2;
        float r22710 = r22709 * r22709;
        float r22711 = r22705 * r22710;
        float r22712 = r22708 + r22711;
        return r22712;
}

double f_od(double a1, double a2, double th) {
        double r22713 = th;
        double r22714 = cos(r22713);
        double r22715 = 2;
        double r22716 = sqrt(r22715);
        double r22717 = r22714 / r22716;
        double r22718 = a1;
        double r22719 = r22717 * r22718;
        double r22720 = r22719 * r22718;
        double r22721 = a2;
        double r22722 = r22721 * r22721;
        double r22723 = r22717 * r22722;
        double r22724 = r22720 + r22723;
        return r22724;
}

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 r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22725);
        mpfr_init(r22726);
        mpfr_init_set_str(r22727, "2", 10, MPFR_RNDN);
        mpfr_init(r22728);
        mpfr_init(r22729);
        mpfr_init(r22730);
        mpfr_init(r22731);
        mpfr_init(r22732);
        mpfr_init(r22733);
        mpfr_init(r22734);
        mpfr_init(r22735);
        mpfr_init(r22736);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22725, th, MPFR_RNDN);
        mpfr_cos(r22726, r22725, MPFR_RNDN);
        ;
        mpfr_sqrt(r22728, r22727, MPFR_RNDN);
        mpfr_div(r22729, r22726, r22728, MPFR_RNDN);
        mpfr_set_d(r22730, a1, MPFR_RNDN);
        mpfr_mul(r22731, r22730, r22730, MPFR_RNDN);
        mpfr_mul(r22732, r22729, r22731, MPFR_RNDN);
        mpfr_set_d(r22733, a2, MPFR_RNDN);
        mpfr_mul(r22734, r22733, r22733, MPFR_RNDN);
        mpfr_mul(r22735, r22729, r22734, MPFR_RNDN);
        mpfr_add(r22736, r22732, r22735, MPFR_RNDN);
        return mpfr_get_d(r22736, MPFR_RNDN);
}

static mpfr_t r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745, r22746, r22747, r22748;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22737);
        mpfr_init(r22738);
        mpfr_init_set_str(r22739, "2", 10, MPFR_RNDN);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init(r22744);
        mpfr_init(r22745);
        mpfr_init(r22746);
        mpfr_init(r22747);
        mpfr_init(r22748);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22737, th, MPFR_RNDN);
        mpfr_cos(r22738, r22737, MPFR_RNDN);
        ;
        mpfr_sqrt(r22740, r22739, MPFR_RNDN);
        mpfr_div(r22741, r22738, r22740, MPFR_RNDN);
        mpfr_set_d(r22742, a1, MPFR_RNDN);
        mpfr_mul(r22743, r22741, r22742, MPFR_RNDN);
        mpfr_mul(r22744, r22743, r22742, MPFR_RNDN);
        mpfr_set_d(r22745, a2, MPFR_RNDN);
        mpfr_mul(r22746, r22745, r22745, MPFR_RNDN);
        mpfr_mul(r22747, r22741, r22746, MPFR_RNDN);
        mpfr_add(r22748, r22744, r22747, MPFR_RNDN);
        return mpfr_get_d(r22748, MPFR_RNDN);
}

static mpfr_t r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22749);
        mpfr_init(r22750);
        mpfr_init_set_str(r22751, "2", 10, MPFR_RNDN);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init(r22760);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22749, th, MPFR_RNDN);
        mpfr_cos(r22750, r22749, MPFR_RNDN);
        ;
        mpfr_sqrt(r22752, r22751, MPFR_RNDN);
        mpfr_div(r22753, r22750, r22752, MPFR_RNDN);
        mpfr_set_d(r22754, a1, MPFR_RNDN);
        mpfr_mul(r22755, r22753, r22754, MPFR_RNDN);
        mpfr_mul(r22756, r22755, r22754, MPFR_RNDN);
        mpfr_set_d(r22757, a2, MPFR_RNDN);
        mpfr_mul(r22758, r22757, r22757, MPFR_RNDN);
        mpfr_mul(r22759, r22753, r22758, MPFR_RNDN);
        mpfr_add(r22760, r22756, r22759, MPFR_RNDN);
        return mpfr_get_d(r22760, MPFR_RNDN);
}