#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 r23128 = th;
        float r23129 = cos(r23128);
        float r23130 = 2;
        float r23131 = sqrt(r23130);
        float r23132 = r23129 / r23131;
        float r23133 = a1;
        float r23134 = r23133 * r23133;
        float r23135 = r23132 * r23134;
        float r23136 = a2;
        float r23137 = r23136 * r23136;
        float r23138 = r23132 * r23137;
        float r23139 = r23135 + r23138;
        return r23139;
}

double f_id(double a1, double a2, double th) {
        double r23140 = th;
        double r23141 = cos(r23140);
        double r23142 = 2;
        double r23143 = sqrt(r23142);
        double r23144 = r23141 / r23143;
        double r23145 = a1;
        double r23146 = r23145 * r23145;
        double r23147 = r23144 * r23146;
        double r23148 = a2;
        double r23149 = r23148 * r23148;
        double r23150 = r23144 * r23149;
        double r23151 = r23147 + r23150;
        return r23151;
}


double f_of(float a1, float a2, float th) {
        float r23152 = th;
        float r23153 = cos(r23152);
        float r23154 = 2;
        float r23155 = sqrt(r23154);
        float r23156 = r23153 / r23155;
        float r23157 = a1;
        float r23158 = r23157 * r23157;
        float r23159 = r23156 * r23158;
        float r23160 = a2;
        float r23161 = r23160 * r23160;
        float r23162 = r23156 * r23161;
        float r23163 = r23159 + r23162;
        return r23163;
}

double f_od(double a1, double a2, double th) {
        double r23164 = th;
        double r23165 = cos(r23164);
        double r23166 = 2;
        double r23167 = sqrt(r23166);
        double r23168 = r23165 / r23167;
        double r23169 = a1;
        double r23170 = r23169 * r23169;
        double r23171 = r23168 * r23170;
        double r23172 = a2;
        double r23173 = r23172 * r23172;
        double r23174 = r23168 * r23173;
        double r23175 = r23171 + r23174;
        return r23175;
}

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 r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init_set_str(r23178, "2", 10, MPFR_RNDN);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23176, th, MPFR_RNDN);
        mpfr_cos(r23177, r23176, MPFR_RNDN);
        ;
        mpfr_sqrt(r23179, r23178, MPFR_RNDN);
        mpfr_div(r23180, r23177, r23179, MPFR_RNDN);
        mpfr_set_d(r23181, a1, MPFR_RNDN);
        mpfr_mul(r23182, r23181, r23181, MPFR_RNDN);
        mpfr_mul(r23183, r23180, r23182, MPFR_RNDN);
        mpfr_set_d(r23184, a2, MPFR_RNDN);
        mpfr_mul(r23185, r23184, r23184, MPFR_RNDN);
        mpfr_mul(r23186, r23180, r23185, MPFR_RNDN);
        mpfr_add(r23187, r23183, r23186, MPFR_RNDN);
        return mpfr_get_d(r23187, MPFR_RNDN);
}

static mpfr_t r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "2", 10, MPFR_RNDN);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23188, th, MPFR_RNDN);
        mpfr_cos(r23189, r23188, MPFR_RNDN);
        ;
        mpfr_sqrt(r23191, r23190, MPFR_RNDN);
        mpfr_div(r23192, r23189, r23191, MPFR_RNDN);
        mpfr_set_d(r23193, a1, MPFR_RNDN);
        mpfr_mul(r23194, r23193, r23193, MPFR_RNDN);
        mpfr_mul(r23195, r23192, r23194, MPFR_RNDN);
        mpfr_set_d(r23196, a2, MPFR_RNDN);
        mpfr_mul(r23197, r23196, r23196, MPFR_RNDN);
        mpfr_mul(r23198, r23192, r23197, MPFR_RNDN);
        mpfr_add(r23199, r23195, r23198, MPFR_RNDN);
        return mpfr_get_d(r23199, MPFR_RNDN);
}

static mpfr_t r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init_set_str(r23202, "2", 10, MPFR_RNDN);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23200, th, MPFR_RNDN);
        mpfr_cos(r23201, r23200, MPFR_RNDN);
        ;
        mpfr_sqrt(r23203, r23202, MPFR_RNDN);
        mpfr_div(r23204, r23201, r23203, MPFR_RNDN);
        mpfr_set_d(r23205, a1, MPFR_RNDN);
        mpfr_mul(r23206, r23205, r23205, MPFR_RNDN);
        mpfr_mul(r23207, r23204, r23206, MPFR_RNDN);
        mpfr_set_d(r23208, a2, MPFR_RNDN);
        mpfr_mul(r23209, r23208, r23208, MPFR_RNDN);
        mpfr_mul(r23210, r23204, r23209, MPFR_RNDN);
        mpfr_add(r23211, r23207, r23210, MPFR_RNDN);
        return mpfr_get_d(r23211, MPFR_RNDN);
}