#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Eccentricity of an ellipse";

double f_if(float a, float b) {
        float r22078 = a;
        float r22079 = r22078 * r22078;
        float r22080 = b;
        float r22081 = r22080 * r22080;
        float r22082 = r22079 - r22081;
        float r22083 = r22082 / r22079;
        float r22084 = fabs(r22083);
        float r22085 = sqrt(r22084);
        return r22085;
}

double f_id(double a, double b) {
        double r22086 = a;
        double r22087 = r22086 * r22086;
        double r22088 = b;
        double r22089 = r22088 * r22088;
        double r22090 = r22087 - r22089;
        double r22091 = r22090 / r22087;
        double r22092 = fabs(r22091);
        double r22093 = sqrt(r22092);
        return r22093;
}


double f_of(float a, float b) {
        float r22094 = 1;
        float r22095 = b;
        float r22096 = a;
        float r22097 = r22095 / r22096;
        float r22098 = r22097 * r22097;
        float r22099 = r22094 - r22098;
        float r22100 = fabs(r22099);
        float r22101 = sqrt(r22100);
        return r22101;
}

double f_od(double a, double b) {
        double r22102 = 1;
        double r22103 = b;
        double r22104 = a;
        double r22105 = r22103 / r22104;
        double r22106 = r22105 * r22105;
        double r22107 = r22102 - r22106;
        double r22108 = fabs(r22107);
        double r22109 = sqrt(r22108);
        return r22109;
}

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 r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
}

double f_im(double a, double b) {
        mpfr_set_d(r22110, a, MPFR_RNDN);
        mpfr_mul(r22111, r22110, r22110, MPFR_RNDN);
        mpfr_set_d(r22112, b, MPFR_RNDN);
        mpfr_mul(r22113, r22112, r22112, MPFR_RNDN);
        mpfr_sub(r22114, r22111, r22113, MPFR_RNDN);
        mpfr_div(r22115, r22114, r22111, MPFR_RNDN);
        mpfr_abs(r22116, r22115, MPFR_RNDN);
        mpfr_sqrt(r22117, r22116, MPFR_RNDN);
        return mpfr_get_d(r22117, MPFR_RNDN);
}

static mpfr_t r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22118, "1", 10, MPFR_RNDN);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22119, b, MPFR_RNDN);
        mpfr_set_d(r22120, a, MPFR_RNDN);
        mpfr_div(r22121, r22119, r22120, MPFR_RNDN);
        mpfr_mul(r22122, r22121, r22121, MPFR_RNDN);
        mpfr_sub(r22123, r22118, r22122, MPFR_RNDN);
        mpfr_abs(r22124, r22123, MPFR_RNDN);
        mpfr_sqrt(r22125, r22124, MPFR_RNDN);
        return mpfr_get_d(r22125, MPFR_RNDN);
}

static mpfr_t r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22126, "1", 10, MPFR_RNDN);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22127, b, MPFR_RNDN);
        mpfr_set_d(r22128, a, MPFR_RNDN);
        mpfr_div(r22129, r22127, r22128, MPFR_RNDN);
        mpfr_mul(r22130, r22129, r22129, MPFR_RNDN);
        mpfr_sub(r22131, r22126, r22130, MPFR_RNDN);
        mpfr_abs(r22132, r22131, MPFR_RNDN);
        mpfr_sqrt(r22133, r22132, MPFR_RNDN);
        return mpfr_get_d(r22133, MPFR_RNDN);
}