#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 r21739 = th;
        float r21740 = cos(r21739);
        float r21741 = 2;
        float r21742 = sqrt(r21741);
        float r21743 = r21740 / r21742;
        float r21744 = a1;
        float r21745 = r21744 * r21744;
        float r21746 = r21743 * r21745;
        float r21747 = a2;
        float r21748 = r21747 * r21747;
        float r21749 = r21743 * r21748;
        float r21750 = r21746 + r21749;
        return r21750;
}

double f_id(double a1, double a2, double th) {
        double r21751 = th;
        double r21752 = cos(r21751);
        double r21753 = 2;
        double r21754 = sqrt(r21753);
        double r21755 = r21752 / r21754;
        double r21756 = a1;
        double r21757 = r21756 * r21756;
        double r21758 = r21755 * r21757;
        double r21759 = a2;
        double r21760 = r21759 * r21759;
        double r21761 = r21755 * r21760;
        double r21762 = r21758 + r21761;
        return r21762;
}


double f_of(float a1, float a2, float th) {
        float r21763 = th;
        float r21764 = cos(r21763);
        float r21765 = a1;
        float r21766 = r21765 * r21765;
        float r21767 = 2;
        float r21768 = sqrt(r21767);
        float r21769 = sqrt(r21768);
        float r21770 = r21766 / r21769;
        float r21771 = r21770 / r21769;
        float r21772 = r21764 * r21771;
        float r21773 = r21764 / r21768;
        float r21774 = a2;
        float r21775 = r21774 * r21774;
        float r21776 = r21773 * r21775;
        float r21777 = r21772 + r21776;
        return r21777;
}

double f_od(double a1, double a2, double th) {
        double r21778 = th;
        double r21779 = cos(r21778);
        double r21780 = a1;
        double r21781 = r21780 * r21780;
        double r21782 = 2;
        double r21783 = sqrt(r21782);
        double r21784 = sqrt(r21783);
        double r21785 = r21781 / r21784;
        double r21786 = r21785 / r21784;
        double r21787 = r21779 * r21786;
        double r21788 = r21779 / r21783;
        double r21789 = a2;
        double r21790 = r21789 * r21789;
        double r21791 = r21788 * r21790;
        double r21792 = r21787 + r21791;
        return r21792;
}

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 r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init_set_str(r21795, "2", 10, MPFR_RNDN);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r21793, th, MPFR_RNDN);
        mpfr_cos(r21794, r21793, MPFR_RNDN);
        ;
        mpfr_sqrt(r21796, r21795, MPFR_RNDN);
        mpfr_div(r21797, r21794, r21796, MPFR_RNDN);
        mpfr_set_d(r21798, a1, MPFR_RNDN);
        mpfr_mul(r21799, r21798, r21798, MPFR_RNDN);
        mpfr_mul(r21800, r21797, r21799, MPFR_RNDN);
        mpfr_set_d(r21801, a2, MPFR_RNDN);
        mpfr_mul(r21802, r21801, r21801, MPFR_RNDN);
        mpfr_mul(r21803, r21797, r21802, MPFR_RNDN);
        mpfr_add(r21804, r21800, r21803, MPFR_RNDN);
        return mpfr_get_d(r21804, MPFR_RNDN);
}

static mpfr_t r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
        mpfr_init(r21808);
        mpfr_init_set_str(r21809, "2", 10, MPFR_RNDN);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init(r21814);
        mpfr_init(r21815);
        mpfr_init(r21816);
        mpfr_init(r21817);
        mpfr_init(r21818);
        mpfr_init(r21819);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r21805, th, MPFR_RNDN);
        mpfr_cos(r21806, r21805, MPFR_RNDN);
        mpfr_set_d(r21807, a1, MPFR_RNDN);
        mpfr_mul(r21808, r21807, r21807, MPFR_RNDN);
        ;
        mpfr_sqrt(r21810, r21809, MPFR_RNDN);
        mpfr_sqrt(r21811, r21810, MPFR_RNDN);
        mpfr_div(r21812, r21808, r21811, MPFR_RNDN);
        mpfr_div(r21813, r21812, r21811, MPFR_RNDN);
        mpfr_mul(r21814, r21806, r21813, MPFR_RNDN);
        mpfr_div(r21815, r21806, r21810, MPFR_RNDN);
        mpfr_set_d(r21816, a2, MPFR_RNDN);
        mpfr_mul(r21817, r21816, r21816, MPFR_RNDN);
        mpfr_mul(r21818, r21815, r21817, MPFR_RNDN);
        mpfr_add(r21819, r21814, r21818, MPFR_RNDN);
        return mpfr_get_d(r21819, MPFR_RNDN);
}

static mpfr_t r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init_set_str(r21824, "2", 10, MPFR_RNDN);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
        mpfr_init(r21834);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r21820, th, MPFR_RNDN);
        mpfr_cos(r21821, r21820, MPFR_RNDN);
        mpfr_set_d(r21822, a1, MPFR_RNDN);
        mpfr_mul(r21823, r21822, r21822, MPFR_RNDN);
        ;
        mpfr_sqrt(r21825, r21824, MPFR_RNDN);
        mpfr_sqrt(r21826, r21825, MPFR_RNDN);
        mpfr_div(r21827, r21823, r21826, MPFR_RNDN);
        mpfr_div(r21828, r21827, r21826, MPFR_RNDN);
        mpfr_mul(r21829, r21821, r21828, MPFR_RNDN);
        mpfr_div(r21830, r21821, r21825, MPFR_RNDN);
        mpfr_set_d(r21831, a2, MPFR_RNDN);
        mpfr_mul(r21832, r21831, r21831, MPFR_RNDN);
        mpfr_mul(r21833, r21830, r21832, MPFR_RNDN);
        mpfr_add(r21834, r21829, r21833, MPFR_RNDN);
        return mpfr_get_d(r21834, MPFR_RNDN);
}