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

double f_id(double a1, double a2, double th) {
        double r22233 = th;
        double r22234 = cos(r22233);
        double r22235 = 2;
        double r22236 = sqrt(r22235);
        double r22237 = r22234 / r22236;
        double r22238 = a1;
        double r22239 = r22238 * r22238;
        double r22240 = r22237 * r22239;
        double r22241 = a2;
        double r22242 = r22241 * r22241;
        double r22243 = r22237 * r22242;
        double r22244 = r22240 + r22243;
        return r22244;
}


double f_of(float a1, float a2, float th) {
        float r22245 = th;
        float r22246 = cos(r22245);
        float r22247 = 2;
        float r22248 = sqrt(r22247);
        float r22249 = r22246 / r22248;
        float r22250 = a1;
        float r22251 = r22249 * r22250;
        float r22252 = r22251 * r22250;
        float r22253 = a2;
        float r22254 = r22253 * r22253;
        float r22255 = r22249 * r22254;
        float r22256 = r22252 + r22255;
        return r22256;
}

double f_od(double a1, double a2, double th) {
        double r22257 = th;
        double r22258 = cos(r22257);
        double r22259 = 2;
        double r22260 = sqrt(r22259);
        double r22261 = r22258 / r22260;
        double r22262 = a1;
        double r22263 = r22261 * r22262;
        double r22264 = r22263 * r22262;
        double r22265 = a2;
        double r22266 = r22265 * r22265;
        double r22267 = r22261 * r22266;
        double r22268 = r22264 + r22267;
        return r22268;
}

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 r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init_set_str(r22271, "2", 10, MPFR_RNDN);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22269, th, MPFR_RNDN);
        mpfr_cos(r22270, r22269, MPFR_RNDN);
        ;
        mpfr_sqrt(r22272, r22271, MPFR_RNDN);
        mpfr_div(r22273, r22270, r22272, MPFR_RNDN);
        mpfr_set_d(r22274, a1, MPFR_RNDN);
        mpfr_mul(r22275, r22274, r22274, MPFR_RNDN);
        mpfr_mul(r22276, r22273, r22275, MPFR_RNDN);
        mpfr_set_d(r22277, a2, MPFR_RNDN);
        mpfr_mul(r22278, r22277, r22277, MPFR_RNDN);
        mpfr_mul(r22279, r22273, r22278, MPFR_RNDN);
        mpfr_add(r22280, r22276, r22279, MPFR_RNDN);
        return mpfr_get_d(r22280, MPFR_RNDN);
}

static mpfr_t r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init_set_str(r22283, "2", 10, MPFR_RNDN);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22281, th, MPFR_RNDN);
        mpfr_cos(r22282, r22281, MPFR_RNDN);
        ;
        mpfr_sqrt(r22284, r22283, MPFR_RNDN);
        mpfr_div(r22285, r22282, r22284, MPFR_RNDN);
        mpfr_set_d(r22286, a1, MPFR_RNDN);
        mpfr_mul(r22287, r22285, r22286, MPFR_RNDN);
        mpfr_mul(r22288, r22287, r22286, MPFR_RNDN);
        mpfr_set_d(r22289, a2, MPFR_RNDN);
        mpfr_mul(r22290, r22289, r22289, MPFR_RNDN);
        mpfr_mul(r22291, r22285, r22290, MPFR_RNDN);
        mpfr_add(r22292, r22288, r22291, MPFR_RNDN);
        return mpfr_get_d(r22292, MPFR_RNDN);
}

static mpfr_t r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init_set_str(r22295, "2", 10, MPFR_RNDN);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22293, th, MPFR_RNDN);
        mpfr_cos(r22294, r22293, MPFR_RNDN);
        ;
        mpfr_sqrt(r22296, r22295, MPFR_RNDN);
        mpfr_div(r22297, r22294, r22296, MPFR_RNDN);
        mpfr_set_d(r22298, a1, MPFR_RNDN);
        mpfr_mul(r22299, r22297, r22298, MPFR_RNDN);
        mpfr_mul(r22300, r22299, r22298, MPFR_RNDN);
        mpfr_set_d(r22301, a2, MPFR_RNDN);
        mpfr_mul(r22302, r22301, r22301, MPFR_RNDN);
        mpfr_mul(r22303, r22297, r22302, MPFR_RNDN);
        mpfr_add(r22304, r22300, r22303, MPFR_RNDN);
        return mpfr_get_d(r22304, MPFR_RNDN);
}