#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 r22053 = th;
        float r22054 = cos(r22053);
        float r22055 = 2;
        float r22056 = sqrt(r22055);
        float r22057 = r22054 / r22056;
        float r22058 = a1;
        float r22059 = r22058 * r22058;
        float r22060 = r22057 * r22059;
        float r22061 = a2;
        float r22062 = r22061 * r22061;
        float r22063 = r22057 * r22062;
        float r22064 = r22060 + r22063;
        return r22064;
}

double f_id(double a1, double a2, double th) {
        double r22065 = th;
        double r22066 = cos(r22065);
        double r22067 = 2;
        double r22068 = sqrt(r22067);
        double r22069 = r22066 / r22068;
        double r22070 = a1;
        double r22071 = r22070 * r22070;
        double r22072 = r22069 * r22071;
        double r22073 = a2;
        double r22074 = r22073 * r22073;
        double r22075 = r22069 * r22074;
        double r22076 = r22072 + r22075;
        return r22076;
}


double f_of(float a1, float a2, float th) {
        float r22077 = th;
        float r22078 = cos(r22077);
        float r22079 = 2;
        float r22080 = sqrt(r22079);
        float r22081 = r22078 / r22080;
        float r22082 = a1;
        float r22083 = r22082 * r22082;
        float r22084 = r22081 * r22083;
        float r22085 = a2;
        float r22086 = r22085 * r22085;
        float r22087 = r22086 / r22080;
        float r22088 = r22078 * r22087;
        float r22089 = r22084 + r22088;
        return r22089;
}

double f_od(double a1, double a2, double th) {
        double r22090 = th;
        double r22091 = cos(r22090);
        double r22092 = 2;
        double r22093 = sqrt(r22092);
        double r22094 = r22091 / r22093;
        double r22095 = a1;
        double r22096 = r22095 * r22095;
        double r22097 = r22094 * r22096;
        double r22098 = a2;
        double r22099 = r22098 * r22098;
        double r22100 = r22099 / r22093;
        double r22101 = r22091 * r22100;
        double r22102 = r22097 + r22101;
        return r22102;
}

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 r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init_set_str(r22105, "2", 10, MPFR_RNDN);
        mpfr_init(r22106);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
}

double f_im(double a1, double a2, double th) {
        mpfr_set_d(r22103, th, MPFR_RNDN);
        mpfr_cos(r22104, r22103, MPFR_RNDN);
        ;
        mpfr_sqrt(r22106, r22105, MPFR_RNDN);
        mpfr_div(r22107, r22104, r22106, MPFR_RNDN);
        mpfr_set_d(r22108, a1, MPFR_RNDN);
        mpfr_mul(r22109, r22108, r22108, MPFR_RNDN);
        mpfr_mul(r22110, r22107, r22109, MPFR_RNDN);
        mpfr_set_d(r22111, a2, MPFR_RNDN);
        mpfr_mul(r22112, r22111, r22111, MPFR_RNDN);
        mpfr_mul(r22113, r22107, r22112, MPFR_RNDN);
        mpfr_add(r22114, r22110, r22113, MPFR_RNDN);
        return mpfr_get_d(r22114, MPFR_RNDN);
}

static mpfr_t r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init_set_str(r22117, "2", 10, MPFR_RNDN);
        mpfr_init(r22118);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
}

double f_fm(double a1, double a2, double th) {
        mpfr_set_d(r22115, th, MPFR_RNDN);
        mpfr_cos(r22116, r22115, MPFR_RNDN);
        ;
        mpfr_sqrt(r22118, r22117, MPFR_RNDN);
        mpfr_div(r22119, r22116, r22118, MPFR_RNDN);
        mpfr_set_d(r22120, a1, MPFR_RNDN);
        mpfr_mul(r22121, r22120, r22120, MPFR_RNDN);
        mpfr_mul(r22122, r22119, r22121, MPFR_RNDN);
        mpfr_set_d(r22123, a2, MPFR_RNDN);
        mpfr_mul(r22124, r22123, r22123, MPFR_RNDN);
        mpfr_div(r22125, r22124, r22118, MPFR_RNDN);
        mpfr_mul(r22126, r22116, r22125, MPFR_RNDN);
        mpfr_add(r22127, r22122, r22126, MPFR_RNDN);
        return mpfr_get_d(r22127, MPFR_RNDN);
}

static mpfr_t r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init_set_str(r22130, "2", 10, MPFR_RNDN);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
        mpfr_init(r22140);
}

double f_dm(double a1, double a2, double th) {
        mpfr_set_d(r22128, th, MPFR_RNDN);
        mpfr_cos(r22129, r22128, MPFR_RNDN);
        ;
        mpfr_sqrt(r22131, r22130, MPFR_RNDN);
        mpfr_div(r22132, r22129, r22131, MPFR_RNDN);
        mpfr_set_d(r22133, a1, MPFR_RNDN);
        mpfr_mul(r22134, r22133, r22133, MPFR_RNDN);
        mpfr_mul(r22135, r22132, r22134, MPFR_RNDN);
        mpfr_set_d(r22136, a2, MPFR_RNDN);
        mpfr_mul(r22137, r22136, r22136, MPFR_RNDN);
        mpfr_div(r22138, r22137, r22131, MPFR_RNDN);
        mpfr_mul(r22139, r22129, r22138, MPFR_RNDN);
        mpfr_add(r22140, r22135, r22139, MPFR_RNDN);
        return mpfr_get_d(r22140, MPFR_RNDN);
}