#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 r21107 = th;
        float r21108 = cos(r21107);
        float r21109 = 2;
        float r21110 = sqrt(r21109);
        float r21111 = r21108 / r21110;
        float r21112 = a1;
        float r21113 = r21112 * r21112;
        float r21114 = r21111 * r21113;
        float r21115 = a2;
        float r21116 = r21115 * r21115;
        float r21117 = r21111 * r21116;
        float r21118 = r21114 + r21117;
        return r21118;
}

double f_id(double a1, double a2, double th) {
        double r21119 = th;
        double r21120 = cos(r21119);
        double r21121 = 2;
        double r21122 = sqrt(r21121);
        double r21123 = r21120 / r21122;
        double r21124 = a1;
        double r21125 = r21124 * r21124;
        double r21126 = r21123 * r21125;
        double r21127 = a2;
        double r21128 = r21127 * r21127;
        double r21129 = r21123 * r21128;
        double r21130 = r21126 + r21129;
        return r21130;
}


double f_of(float a1, float a2, float th) {
        float r21131 = th;
        float r21132 = cos(r21131);
        float r21133 = 2;
        float r21134 = sqrt(r21133);
        float r21135 = sqrt(r21134);
        float r21136 = r21132 / r21135;
        float r21137 = r21136 / r21135;
        float r21138 = a2;
        float r21139 = r21138 * r21138;
        float r21140 = a1;
        float r21141 = r21140 * r21140;
        float r21142 = r21139 + r21141;
        float r21143 = r21137 * r21142;
        return r21143;
}

double f_od(double a1, double a2, double th) {
        double r21144 = th;
        double r21145 = cos(r21144);
        double r21146 = 2;
        double r21147 = sqrt(r21146);
        double r21148 = sqrt(r21147);
        double r21149 = r21145 / r21148;
        double r21150 = r21149 / r21148;
        double r21151 = a2;
        double r21152 = r21151 * r21151;
        double r21153 = a1;
        double r21154 = r21153 * r21153;
        double r21155 = r21152 + r21154;
        double r21156 = r21150 * r21155;
        return r21156;
}

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 r21157, r21158, r21159, r21160, r21161, r21162, r21163, r21164, r21165, r21166, r21167, r21168;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21157);
        mpfr_init(r21158);
        mpfr_init_set_str(r21159, "2", 10, MPFR_RNDN);
        mpfr_init(r21160);
        mpfr_init(r21161);
        mpfr_init(r21162);
        mpfr_init(r21163);
        mpfr_init(r21164);
        mpfr_init(r21165);
        mpfr_init(r21166);
        mpfr_init(r21167);
        mpfr_init(r21168);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r21157, th, MPFR_RNDN);
        mpfr_cos(r21158, r21157, MPFR_RNDN);
        ;
        mpfr_sqrt(r21160, r21159, MPFR_RNDN);
        mpfr_div(r21161, r21158, r21160, MPFR_RNDN);
        mpfr_set_d(r21162, a1, MPFR_RNDN);
        mpfr_mul(r21163, r21162, r21162, MPFR_RNDN);
        mpfr_mul(r21164, r21161, r21163, MPFR_RNDN);
        mpfr_set_d(r21165, a2, MPFR_RNDN);
        mpfr_mul(r21166, r21165, r21165, MPFR_RNDN);
        mpfr_mul(r21167, r21161, r21166, MPFR_RNDN);
        mpfr_add(r21168, r21164, r21167, MPFR_RNDN);
        return mpfr_get_d(r21168, MPFR_RNDN);
}

static mpfr_t r21169, r21170, r21171, r21172, r21173, r21174, r21175, r21176, r21177, r21178, r21179, r21180, r21181;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21169);
        mpfr_init(r21170);
        mpfr_init_set_str(r21171, "2", 10, MPFR_RNDN);
        mpfr_init(r21172);
        mpfr_init(r21173);
        mpfr_init(r21174);
        mpfr_init(r21175);
        mpfr_init(r21176);
        mpfr_init(r21177);
        mpfr_init(r21178);
        mpfr_init(r21179);
        mpfr_init(r21180);
        mpfr_init(r21181);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r21169, th, MPFR_RNDN);
        mpfr_cos(r21170, r21169, MPFR_RNDN);
        ;
        mpfr_sqrt(r21172, r21171, MPFR_RNDN);
        mpfr_sqrt(r21173, r21172, MPFR_RNDN);
        mpfr_div(r21174, r21170, r21173, MPFR_RNDN);
        mpfr_div(r21175, r21174, r21173, MPFR_RNDN);
        mpfr_set_d(r21176, a2, MPFR_RNDN);
        mpfr_mul(r21177, r21176, r21176, MPFR_RNDN);
        mpfr_set_d(r21178, a1, MPFR_RNDN);
        mpfr_mul(r21179, r21178, r21178, MPFR_RNDN);
        mpfr_add(r21180, r21177, r21179, MPFR_RNDN);
        mpfr_mul(r21181, r21175, r21180, MPFR_RNDN);
        return mpfr_get_d(r21181, MPFR_RNDN);
}

static mpfr_t r21182, r21183, r21184, r21185, r21186, r21187, r21188, r21189, r21190, r21191, r21192, r21193, r21194;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21182);
        mpfr_init(r21183);
        mpfr_init_set_str(r21184, "2", 10, MPFR_RNDN);
        mpfr_init(r21185);
        mpfr_init(r21186);
        mpfr_init(r21187);
        mpfr_init(r21188);
        mpfr_init(r21189);
        mpfr_init(r21190);
        mpfr_init(r21191);
        mpfr_init(r21192);
        mpfr_init(r21193);
        mpfr_init(r21194);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r21182, th, MPFR_RNDN);
        mpfr_cos(r21183, r21182, MPFR_RNDN);
        ;
        mpfr_sqrt(r21185, r21184, MPFR_RNDN);
        mpfr_sqrt(r21186, r21185, MPFR_RNDN);
        mpfr_div(r21187, r21183, r21186, MPFR_RNDN);
        mpfr_div(r21188, r21187, r21186, MPFR_RNDN);
        mpfr_set_d(r21189, a2, MPFR_RNDN);
        mpfr_mul(r21190, r21189, r21189, MPFR_RNDN);
        mpfr_set_d(r21191, a1, MPFR_RNDN);
        mpfr_mul(r21192, r21191, r21191, MPFR_RNDN);
        mpfr_add(r21193, r21190, r21192, MPFR_RNDN);
        mpfr_mul(r21194, r21188, r21193, MPFR_RNDN);
        return mpfr_get_d(r21194, MPFR_RNDN);
}