#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 r23133 = th;
        float r23134 = cos(r23133);
        float r23135 = 2;
        float r23136 = sqrt(r23135);
        float r23137 = r23134 / r23136;
        float r23138 = a1;
        float r23139 = r23138 * r23138;
        float r23140 = r23137 * r23139;
        float r23141 = a2;
        float r23142 = r23141 * r23141;
        float r23143 = r23137 * r23142;
        float r23144 = r23140 + r23143;
        return r23144;
}

double f_id(double a1, double a2, double th) {
        double r23145 = th;
        double r23146 = cos(r23145);
        double r23147 = 2;
        double r23148 = sqrt(r23147);
        double r23149 = r23146 / r23148;
        double r23150 = a1;
        double r23151 = r23150 * r23150;
        double r23152 = r23149 * r23151;
        double r23153 = a2;
        double r23154 = r23153 * r23153;
        double r23155 = r23149 * r23154;
        double r23156 = r23152 + r23155;
        return r23156;
}


double f_of(float a1, float a2, float th) {
        float r23157 = th;
        float r23158 = cos(r23157);
        float r23159 = 3;
        float r23160 = pow(r23158, r23159);
        float r23161 = 2;
        float r23162 = sqrt(r23161);
        float r23163 = r23161 * r23162;
        float r23164 = r23160 / r23163;
        float r23165 = cbrt(r23164);
        float r23166 = a1;
        float r23167 = r23166 * r23166;
        float r23168 = r23165 * r23167;
        float r23169 = r23158 / r23162;
        float r23170 = a2;
        float r23171 = r23170 * r23170;
        float r23172 = r23169 * r23171;
        float r23173 = r23168 + r23172;
        return r23173;
}

double f_od(double a1, double a2, double th) {
        double r23174 = th;
        double r23175 = cos(r23174);
        double r23176 = 3;
        double r23177 = pow(r23175, r23176);
        double r23178 = 2;
        double r23179 = sqrt(r23178);
        double r23180 = r23178 * r23179;
        double r23181 = r23177 / r23180;
        double r23182 = cbrt(r23181);
        double r23183 = a1;
        double r23184 = r23183 * r23183;
        double r23185 = r23182 * r23184;
        double r23186 = r23175 / r23179;
        double r23187 = a2;
        double r23188 = r23187 * r23187;
        double r23189 = r23186 * r23188;
        double r23190 = r23185 + r23189;
        return r23190;
}

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 r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init_set_str(r23193, "2", 10, MPFR_RNDN);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r23191, th, MPFR_RNDN);
        mpfr_cos(r23192, r23191, MPFR_RNDN);
        ;
        mpfr_sqrt(r23194, r23193, MPFR_RNDN);
        mpfr_div(r23195, r23192, r23194, MPFR_RNDN);
        mpfr_set_d(r23196, a1, MPFR_RNDN);
        mpfr_mul(r23197, r23196, r23196, MPFR_RNDN);
        mpfr_mul(r23198, r23195, r23197, MPFR_RNDN);
        mpfr_set_d(r23199, a2, MPFR_RNDN);
        mpfr_mul(r23200, r23199, r23199, MPFR_RNDN);
        mpfr_mul(r23201, r23195, r23200, MPFR_RNDN);
        mpfr_add(r23202, r23198, r23201, MPFR_RNDN);
        return mpfr_get_d(r23202, MPFR_RNDN);
}

static mpfr_t r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217, r23218, r23219;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init_set_str(r23205, "3", 10, MPFR_RNDN);
        mpfr_init(r23206);
        mpfr_init_set_str(r23207, "2", 10, MPFR_RNDN);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init(r23214);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
        mpfr_init(r23218);
        mpfr_init(r23219);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r23203, th, MPFR_RNDN);
        mpfr_cos(r23204, r23203, MPFR_RNDN);
        ;
        mpfr_pow(r23206, r23204, r23205, MPFR_RNDN);
        ;
        mpfr_sqrt(r23208, r23207, MPFR_RNDN);
        mpfr_mul(r23209, r23207, r23208, MPFR_RNDN);
        mpfr_div(r23210, r23206, r23209, MPFR_RNDN);
        mpfr_cbrt(r23211, r23210, MPFR_RNDN);
        mpfr_set_d(r23212, a1, MPFR_RNDN);
        mpfr_mul(r23213, r23212, r23212, MPFR_RNDN);
        mpfr_mul(r23214, r23211, r23213, MPFR_RNDN);
        mpfr_div(r23215, r23204, r23208, MPFR_RNDN);
        mpfr_set_d(r23216, a2, MPFR_RNDN);
        mpfr_mul(r23217, r23216, r23216, MPFR_RNDN);
        mpfr_mul(r23218, r23215, r23217, MPFR_RNDN);
        mpfr_add(r23219, r23214, r23218, MPFR_RNDN);
        return mpfr_get_d(r23219, MPFR_RNDN);
}

static mpfr_t r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init_set_str(r23222, "3", 10, MPFR_RNDN);
        mpfr_init(r23223);
        mpfr_init_set_str(r23224, "2", 10, MPFR_RNDN);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init(r23234);
        mpfr_init(r23235);
        mpfr_init(r23236);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r23220, th, MPFR_RNDN);
        mpfr_cos(r23221, r23220, MPFR_RNDN);
        ;
        mpfr_pow(r23223, r23221, r23222, MPFR_RNDN);
        ;
        mpfr_sqrt(r23225, r23224, MPFR_RNDN);
        mpfr_mul(r23226, r23224, r23225, MPFR_RNDN);
        mpfr_div(r23227, r23223, r23226, MPFR_RNDN);
        mpfr_cbrt(r23228, r23227, MPFR_RNDN);
        mpfr_set_d(r23229, a1, MPFR_RNDN);
        mpfr_mul(r23230, r23229, r23229, MPFR_RNDN);
        mpfr_mul(r23231, r23228, r23230, MPFR_RNDN);
        mpfr_div(r23232, r23221, r23225, MPFR_RNDN);
        mpfr_set_d(r23233, a2, MPFR_RNDN);
        mpfr_mul(r23234, r23233, r23233, MPFR_RNDN);
        mpfr_mul(r23235, r23232, r23234, MPFR_RNDN);
        mpfr_add(r23236, r23231, r23235, MPFR_RNDN);
        return mpfr_get_d(r23236, MPFR_RNDN);
}

