#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 r22140 = th;
        float r22141 = cos(r22140);
        float r22142 = 2;
        float r22143 = sqrt(r22142);
        float r22144 = r22141 / r22143;
        float r22145 = a1;
        float r22146 = r22145 * r22145;
        float r22147 = r22144 * r22146;
        float r22148 = a2;
        float r22149 = r22148 * r22148;
        float r22150 = r22144 * r22149;
        float r22151 = r22147 + r22150;
        return r22151;
}

double f_id(double a1, double a2, double th) {
        double r22152 = th;
        double r22153 = cos(r22152);
        double r22154 = 2;
        double r22155 = sqrt(r22154);
        double r22156 = r22153 / r22155;
        double r22157 = a1;
        double r22158 = r22157 * r22157;
        double r22159 = r22156 * r22158;
        double r22160 = a2;
        double r22161 = r22160 * r22160;
        double r22162 = r22156 * r22161;
        double r22163 = r22159 + r22162;
        return r22163;
}


double f_of(float a1, float a2, float th) {
        float r22164 = th;
        float r22165 = cos(r22164);
        float r22166 = 3;
        float r22167 = pow(r22165, r22166);
        float r22168 = 2;
        float r22169 = sqrt(r22168);
        float r22170 = r22169 + r22169;
        float r22171 = r22167 / r22170;
        float r22172 = cbrt(r22171);
        float r22173 = a2;
        float r22174 = r22173 * r22173;
        float r22175 = a1;
        float r22176 = r22175 * r22175;
        float r22177 = r22174 + r22176;
        float r22178 = r22172 * r22177;
        return r22178;
}

double f_od(double a1, double a2, double th) {
        double r22179 = th;
        double r22180 = cos(r22179);
        double r22181 = 3;
        double r22182 = pow(r22180, r22181);
        double r22183 = 2;
        double r22184 = sqrt(r22183);
        double r22185 = r22184 + r22184;
        double r22186 = r22182 / r22185;
        double r22187 = cbrt(r22186);
        double r22188 = a2;
        double r22189 = r22188 * r22188;
        double r22190 = a1;
        double r22191 = r22190 * r22190;
        double r22192 = r22189 + r22191;
        double r22193 = r22187 * r22192;
        return r22193;
}

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 r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init_set_str(r22196, "2", 10, MPFR_RNDN);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22194, th, MPFR_RNDN);
        mpfr_cos(r22195, r22194, MPFR_RNDN);
        ;
        mpfr_sqrt(r22197, r22196, MPFR_RNDN);
        mpfr_div(r22198, r22195, r22197, MPFR_RNDN);
        mpfr_set_d(r22199, a1, MPFR_RNDN);
        mpfr_mul(r22200, r22199, r22199, MPFR_RNDN);
        mpfr_mul(r22201, r22198, r22200, MPFR_RNDN);
        mpfr_set_d(r22202, a2, MPFR_RNDN);
        mpfr_mul(r22203, r22202, r22202, MPFR_RNDN);
        mpfr_mul(r22204, r22198, r22203, MPFR_RNDN);
        mpfr_add(r22205, r22201, r22204, MPFR_RNDN);
        return mpfr_get_d(r22205, MPFR_RNDN);
}

static mpfr_t r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init_set_str(r22208, "3", 10, MPFR_RNDN);
        mpfr_init(r22209);
        mpfr_init_set_str(r22210, "2", 10, MPFR_RNDN);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init(r22213);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22206, th, MPFR_RNDN);
        mpfr_cos(r22207, r22206, MPFR_RNDN);
        ;
        mpfr_pow(r22209, r22207, r22208, MPFR_RNDN);
        ;
        mpfr_sqrt(r22211, r22210, MPFR_RNDN);
        mpfr_add(r22212, r22211, r22211, MPFR_RNDN);
        mpfr_div(r22213, r22209, r22212, MPFR_RNDN);
        mpfr_cbrt(r22214, r22213, MPFR_RNDN);
        mpfr_set_d(r22215, a2, MPFR_RNDN);
        mpfr_mul(r22216, r22215, r22215, MPFR_RNDN);
        mpfr_set_d(r22217, a1, MPFR_RNDN);
        mpfr_mul(r22218, r22217, r22217, MPFR_RNDN);
        mpfr_add(r22219, r22216, r22218, MPFR_RNDN);
        mpfr_mul(r22220, r22214, r22219, MPFR_RNDN);
        return mpfr_get_d(r22220, MPFR_RNDN);
}

static mpfr_t r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init_set_str(r22223, "3", 10, MPFR_RNDN);
        mpfr_init(r22224);
        mpfr_init_set_str(r22225, "2", 10, MPFR_RNDN);
        mpfr_init(r22226);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22221, th, MPFR_RNDN);
        mpfr_cos(r22222, r22221, MPFR_RNDN);
        ;
        mpfr_pow(r22224, r22222, r22223, MPFR_RNDN);
        ;
        mpfr_sqrt(r22226, r22225, MPFR_RNDN);
        mpfr_add(r22227, r22226, r22226, MPFR_RNDN);
        mpfr_div(r22228, r22224, r22227, MPFR_RNDN);
        mpfr_cbrt(r22229, r22228, MPFR_RNDN);
        mpfr_set_d(r22230, a2, MPFR_RNDN);
        mpfr_mul(r22231, r22230, r22230, MPFR_RNDN);
        mpfr_set_d(r22232, a1, MPFR_RNDN);
        mpfr_mul(r22233, r22232, r22232, MPFR_RNDN);
        mpfr_add(r22234, r22231, r22233, MPFR_RNDN);
        mpfr_mul(r22235, r22229, r22234, MPFR_RNDN);
        return mpfr_get_d(r22235, MPFR_RNDN);
}

