#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 r22698 = th;
        float r22699 = cos(r22698);
        float r22700 = 2;
        float r22701 = sqrt(r22700);
        float r22702 = r22699 / r22701;
        float r22703 = a1;
        float r22704 = r22703 * r22703;
        float r22705 = r22702 * r22704;
        float r22706 = a2;
        float r22707 = r22706 * r22706;
        float r22708 = r22702 * r22707;
        float r22709 = r22705 + r22708;
        return r22709;
}

double f_id(double a1, double a2, double th) {
        double r22710 = th;
        double r22711 = cos(r22710);
        double r22712 = 2;
        double r22713 = sqrt(r22712);
        double r22714 = r22711 / r22713;
        double r22715 = a1;
        double r22716 = r22715 * r22715;
        double r22717 = r22714 * r22716;
        double r22718 = a2;
        double r22719 = r22718 * r22718;
        double r22720 = r22714 * r22719;
        double r22721 = r22717 + r22720;
        return r22721;
}


double f_of(float a1, float a2, float th) {
        float r22722 = th;
        float r22723 = cos(r22722);
        float r22724 = 2;
        float r22725 = sqrt(r22724);
        float r22726 = r22723 / r22725;
        float r22727 = a1;
        float r22728 = r22727 * r22727;
        float r22729 = r22726 * r22728;
        float r22730 = a2;
        float r22731 = r22726 * r22730;
        float r22732 = r22731 * r22730;
        float r22733 = r22729 + r22732;
        return r22733;
}

double f_od(double a1, double a2, double th) {
        double r22734 = th;
        double r22735 = cos(r22734);
        double r22736 = 2;
        double r22737 = sqrt(r22736);
        double r22738 = r22735 / r22737;
        double r22739 = a1;
        double r22740 = r22739 * r22739;
        double r22741 = r22738 * r22740;
        double r22742 = a2;
        double r22743 = r22738 * r22742;
        double r22744 = r22743 * r22742;
        double r22745 = r22741 + r22744;
        return r22745;
}

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 r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22746);
        mpfr_init(r22747);
        mpfr_init_set_str(r22748, "2", 10, MPFR_RNDN);
        mpfr_init(r22749);
        mpfr_init(r22750);
        mpfr_init(r22751);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22746, th, MPFR_RNDN);
        mpfr_cos(r22747, r22746, MPFR_RNDN);
        ;
        mpfr_sqrt(r22749, r22748, MPFR_RNDN);
        mpfr_div(r22750, r22747, r22749, MPFR_RNDN);
        mpfr_set_d(r22751, a1, MPFR_RNDN);
        mpfr_mul(r22752, r22751, r22751, MPFR_RNDN);
        mpfr_mul(r22753, r22750, r22752, MPFR_RNDN);
        mpfr_set_d(r22754, a2, MPFR_RNDN);
        mpfr_mul(r22755, r22754, r22754, MPFR_RNDN);
        mpfr_mul(r22756, r22750, r22755, MPFR_RNDN);
        mpfr_add(r22757, r22753, r22756, MPFR_RNDN);
        return mpfr_get_d(r22757, MPFR_RNDN);
}

static mpfr_t r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22758);
        mpfr_init(r22759);
        mpfr_init_set_str(r22760, "2", 10, MPFR_RNDN);
        mpfr_init(r22761);
        mpfr_init(r22762);
        mpfr_init(r22763);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init(r22767);
        mpfr_init(r22768);
        mpfr_init(r22769);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22758, th, MPFR_RNDN);
        mpfr_cos(r22759, r22758, MPFR_RNDN);
        ;
        mpfr_sqrt(r22761, r22760, MPFR_RNDN);
        mpfr_div(r22762, r22759, r22761, MPFR_RNDN);
        mpfr_set_d(r22763, a1, MPFR_RNDN);
        mpfr_mul(r22764, r22763, r22763, MPFR_RNDN);
        mpfr_mul(r22765, r22762, r22764, MPFR_RNDN);
        mpfr_set_d(r22766, a2, MPFR_RNDN);
        mpfr_mul(r22767, r22762, r22766, MPFR_RNDN);
        mpfr_mul(r22768, r22767, r22766, MPFR_RNDN);
        mpfr_add(r22769, r22765, r22768, MPFR_RNDN);
        return mpfr_get_d(r22769, MPFR_RNDN);
}

static mpfr_t r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22770);
        mpfr_init(r22771);
        mpfr_init_set_str(r22772, "2", 10, MPFR_RNDN);
        mpfr_init(r22773);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init(r22778);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init(r22781);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22770, th, MPFR_RNDN);
        mpfr_cos(r22771, r22770, MPFR_RNDN);
        ;
        mpfr_sqrt(r22773, r22772, MPFR_RNDN);
        mpfr_div(r22774, r22771, r22773, MPFR_RNDN);
        mpfr_set_d(r22775, a1, MPFR_RNDN);
        mpfr_mul(r22776, r22775, r22775, MPFR_RNDN);
        mpfr_mul(r22777, r22774, r22776, MPFR_RNDN);
        mpfr_set_d(r22778, a2, MPFR_RNDN);
        mpfr_mul(r22779, r22774, r22778, MPFR_RNDN);
        mpfr_mul(r22780, r22779, r22778, MPFR_RNDN);
        mpfr_add(r22781, r22777, r22780, MPFR_RNDN);
        return mpfr_get_d(r22781, MPFR_RNDN);
}