#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 r22197 = th;
        float r22198 = cos(r22197);
        float r22199 = 2;
        float r22200 = sqrt(r22199);
        float r22201 = r22198 / r22200;
        float r22202 = a1;
        float r22203 = r22202 * r22202;
        float r22204 = r22201 * r22203;
        float r22205 = a2;
        float r22206 = r22205 * r22205;
        float r22207 = r22201 * r22206;
        float r22208 = r22204 + r22207;
        return r22208;
}

double f_id(double a1, double a2, double th) {
        double r22209 = th;
        double r22210 = cos(r22209);
        double r22211 = 2;
        double r22212 = sqrt(r22211);
        double r22213 = r22210 / r22212;
        double r22214 = a1;
        double r22215 = r22214 * r22214;
        double r22216 = r22213 * r22215;
        double r22217 = a2;
        double r22218 = r22217 * r22217;
        double r22219 = r22213 * r22218;
        double r22220 = r22216 + r22219;
        return r22220;
}


double f_of(float a1, float a2, float th) {
        float r22221 = th;
        float r22222 = cos(r22221);
        float r22223 = 2;
        float r22224 = sqrt(r22223);
        float r22225 = sqrt(r22224);
        float r22226 = r22222 / r22225;
        float r22227 = r22226 / r22225;
        float r22228 = a2;
        float r22229 = r22228 * r22228;
        float r22230 = a1;
        float r22231 = r22230 * r22230;
        float r22232 = r22229 + r22231;
        float r22233 = r22227 * r22232;
        return r22233;
}

double f_od(double a1, double a2, double th) {
        double r22234 = th;
        double r22235 = cos(r22234);
        double r22236 = 2;
        double r22237 = sqrt(r22236);
        double r22238 = sqrt(r22237);
        double r22239 = r22235 / r22238;
        double r22240 = r22239 / r22238;
        double r22241 = a2;
        double r22242 = r22241 * r22241;
        double r22243 = a1;
        double r22244 = r22243 * r22243;
        double r22245 = r22242 + r22244;
        double r22246 = r22240 * r22245;
        return r22246;
}

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 r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init_set_str(r22249, "2", 10, MPFR_RNDN);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22247, th, MPFR_RNDN);
        mpfr_cos(r22248, r22247, MPFR_RNDN);
        ;
        mpfr_sqrt(r22250, r22249, MPFR_RNDN);
        mpfr_div(r22251, r22248, r22250, MPFR_RNDN);
        mpfr_set_d(r22252, a1, MPFR_RNDN);
        mpfr_mul(r22253, r22252, r22252, MPFR_RNDN);
        mpfr_mul(r22254, r22251, r22253, MPFR_RNDN);
        mpfr_set_d(r22255, a2, MPFR_RNDN);
        mpfr_mul(r22256, r22255, r22255, MPFR_RNDN);
        mpfr_mul(r22257, r22251, r22256, MPFR_RNDN);
        mpfr_add(r22258, r22254, r22257, MPFR_RNDN);
        return mpfr_get_d(r22258, MPFR_RNDN);
}

static mpfr_t r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init_set_str(r22261, "2", 10, MPFR_RNDN);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init(r22271);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22259, th, MPFR_RNDN);
        mpfr_cos(r22260, r22259, MPFR_RNDN);
        ;
        mpfr_sqrt(r22262, r22261, MPFR_RNDN);
        mpfr_sqrt(r22263, r22262, MPFR_RNDN);
        mpfr_div(r22264, r22260, r22263, MPFR_RNDN);
        mpfr_div(r22265, r22264, r22263, MPFR_RNDN);
        mpfr_set_d(r22266, a2, MPFR_RNDN);
        mpfr_mul(r22267, r22266, r22266, MPFR_RNDN);
        mpfr_set_d(r22268, a1, MPFR_RNDN);
        mpfr_mul(r22269, r22268, r22268, MPFR_RNDN);
        mpfr_add(r22270, r22267, r22269, MPFR_RNDN);
        mpfr_mul(r22271, r22265, r22270, MPFR_RNDN);
        return mpfr_get_d(r22271, MPFR_RNDN);
}

static mpfr_t r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init_set_str(r22274, "2", 10, MPFR_RNDN);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22272, th, MPFR_RNDN);
        mpfr_cos(r22273, r22272, MPFR_RNDN);
        ;
        mpfr_sqrt(r22275, r22274, MPFR_RNDN);
        mpfr_sqrt(r22276, r22275, MPFR_RNDN);
        mpfr_div(r22277, r22273, r22276, MPFR_RNDN);
        mpfr_div(r22278, r22277, r22276, MPFR_RNDN);
        mpfr_set_d(r22279, a2, MPFR_RNDN);
        mpfr_mul(r22280, r22279, r22279, MPFR_RNDN);
        mpfr_set_d(r22281, a1, MPFR_RNDN);
        mpfr_mul(r22282, r22281, r22281, MPFR_RNDN);
        mpfr_add(r22283, r22280, r22282, MPFR_RNDN);
        mpfr_mul(r22284, r22278, r22283, MPFR_RNDN);
        return mpfr_get_d(r22284, MPFR_RNDN);
}