#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 r22181 = th;
        float r22182 = cos(r22181);
        float r22183 = 2;
        float r22184 = sqrt(r22183);
        float r22185 = r22182 / r22184;
        float r22186 = a1;
        float r22187 = r22186 * r22186;
        float r22188 = r22185 * r22187;
        float r22189 = a2;
        float r22190 = r22189 * r22189;
        float r22191 = r22185 * r22190;
        float r22192 = r22188 + r22191;
        return r22192;
}

double f_id(double a1, double a2, double th) {
        double r22193 = th;
        double r22194 = cos(r22193);
        double r22195 = 2;
        double r22196 = sqrt(r22195);
        double r22197 = r22194 / r22196;
        double r22198 = a1;
        double r22199 = r22198 * r22198;
        double r22200 = r22197 * r22199;
        double r22201 = a2;
        double r22202 = r22201 * r22201;
        double r22203 = r22197 * r22202;
        double r22204 = r22200 + r22203;
        return r22204;
}


double f_of(float a1, float a2, float th) {
        float r22205 = th;
        float r22206 = cos(r22205);
        float r22207 = 2;
        float r22208 = sqrt(r22207);
        float r22209 = r22206 / r22208;
        float r22210 = a1;
        float r22211 = r22210 * r22210;
        float r22212 = r22209 * r22211;
        float r22213 = a2;
        float r22214 = r22213 * r22213;
        float r22215 = r22214 / r22208;
        float r22216 = r22206 * r22215;
        float r22217 = r22212 + r22216;
        return r22217;
}

double f_od(double a1, double a2, double th) {
        double r22218 = th;
        double r22219 = cos(r22218);
        double r22220 = 2;
        double r22221 = sqrt(r22220);
        double r22222 = r22219 / r22221;
        double r22223 = a1;
        double r22224 = r22223 * r22223;
        double r22225 = r22222 * r22224;
        double r22226 = a2;
        double r22227 = r22226 * r22226;
        double r22228 = r22227 / r22221;
        double r22229 = r22219 * r22228;
        double r22230 = r22225 + r22229;
        return r22230;
}

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 r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init_set_str(r22233, "2", 10, MPFR_RNDN);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init(r22236);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22231, th, MPFR_RNDN);
        mpfr_cos(r22232, r22231, MPFR_RNDN);
        ;
        mpfr_sqrt(r22234, r22233, MPFR_RNDN);
        mpfr_div(r22235, r22232, r22234, MPFR_RNDN);
        mpfr_set_d(r22236, a1, MPFR_RNDN);
        mpfr_mul(r22237, r22236, r22236, MPFR_RNDN);
        mpfr_mul(r22238, r22235, r22237, MPFR_RNDN);
        mpfr_set_d(r22239, a2, MPFR_RNDN);
        mpfr_mul(r22240, r22239, r22239, MPFR_RNDN);
        mpfr_mul(r22241, r22235, r22240, MPFR_RNDN);
        mpfr_add(r22242, r22238, r22241, MPFR_RNDN);
        return mpfr_get_d(r22242, MPFR_RNDN);
}

static mpfr_t r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init_set_str(r22245, "2", 10, MPFR_RNDN);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22243, th, MPFR_RNDN);
        mpfr_cos(r22244, r22243, MPFR_RNDN);
        ;
        mpfr_sqrt(r22246, r22245, MPFR_RNDN);
        mpfr_div(r22247, r22244, r22246, MPFR_RNDN);
        mpfr_set_d(r22248, a1, MPFR_RNDN);
        mpfr_mul(r22249, r22248, r22248, MPFR_RNDN);
        mpfr_mul(r22250, r22247, r22249, MPFR_RNDN);
        mpfr_set_d(r22251, a2, MPFR_RNDN);
        mpfr_mul(r22252, r22251, r22251, MPFR_RNDN);
        mpfr_div(r22253, r22252, r22246, MPFR_RNDN);
        mpfr_mul(r22254, r22244, r22253, MPFR_RNDN);
        mpfr_add(r22255, r22250, r22254, MPFR_RNDN);
        return mpfr_get_d(r22255, MPFR_RNDN);
}

static mpfr_t r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init_set_str(r22258, "2", 10, MPFR_RNDN);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22256, th, MPFR_RNDN);
        mpfr_cos(r22257, r22256, MPFR_RNDN);
        ;
        mpfr_sqrt(r22259, r22258, MPFR_RNDN);
        mpfr_div(r22260, r22257, r22259, MPFR_RNDN);
        mpfr_set_d(r22261, a1, MPFR_RNDN);
        mpfr_mul(r22262, r22261, r22261, MPFR_RNDN);
        mpfr_mul(r22263, r22260, r22262, MPFR_RNDN);
        mpfr_set_d(r22264, a2, MPFR_RNDN);
        mpfr_mul(r22265, r22264, r22264, MPFR_RNDN);
        mpfr_div(r22266, r22265, r22259, MPFR_RNDN);
        mpfr_mul(r22267, r22257, r22266, MPFR_RNDN);
        mpfr_add(r22268, r22263, r22267, MPFR_RNDN);
        return mpfr_get_d(r22268, MPFR_RNDN);
}