#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 r22054 = a;
        float r22055 = r22054 * r22054;
        float r22056 = b;
        float r22057 = r22056 * r22056;
        float r22058 = r22055 - r22057;
        float r22059 = r22058 / r22055;
        float r22060 = fabs(r22059);
        float r22061 = sqrt(r22060);
        return r22061;
}

double f_id(double a, double b) {
        double r22062 = a;
        double r22063 = r22062 * r22062;
        double r22064 = b;
        double r22065 = r22064 * r22064;
        double r22066 = r22063 - r22065;
        double r22067 = r22066 / r22063;
        double r22068 = fabs(r22067);
        double r22069 = sqrt(r22068);
        return r22069;
}


double f_of(float a, float b) {
        float r22070 = 1;
        float r22071 = b;
        float r22072 = a;
        float r22073 = r22071 / r22072;
        float r22074 = r22073 * r22073;
        float r22075 = r22070 - r22074;
        float r22076 = fabs(r22075);
        float r22077 = sqrt(r22076);
        return r22077;
}

double f_od(double a, double b) {
        double r22078 = 1;
        double r22079 = b;
        double r22080 = a;
        double r22081 = r22079 / r22080;
        double r22082 = r22081 * r22081;
        double r22083 = r22078 - r22082;
        double r22084 = fabs(r22083);
        double r22085 = sqrt(r22084);
        return r22085;
}

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 r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
}

double f_im(double a, double b) {
        mpfr_set_d(r22086, a, MPFR_RNDN);
        mpfr_mul(r22087, r22086, r22086, MPFR_RNDN);
        mpfr_set_d(r22088, b, MPFR_RNDN);
        mpfr_mul(r22089, r22088, r22088, MPFR_RNDN);
        mpfr_sub(r22090, r22087, r22089, MPFR_RNDN);
        mpfr_div(r22091, r22090, r22087, MPFR_RNDN);
        mpfr_abs(r22092, r22091, MPFR_RNDN);
        mpfr_sqrt(r22093, r22092, MPFR_RNDN);
        return mpfr_get_d(r22093, MPFR_RNDN);
}

static mpfr_t r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22094, "1", 10, MPFR_RNDN);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22095, b, MPFR_RNDN);
        mpfr_set_d(r22096, a, MPFR_RNDN);
        mpfr_div(r22097, r22095, r22096, MPFR_RNDN);
        mpfr_mul(r22098, r22097, r22097, MPFR_RNDN);
        mpfr_sub(r22099, r22094, r22098, MPFR_RNDN);
        mpfr_abs(r22100, r22099, MPFR_RNDN);
        mpfr_sqrt(r22101, r22100, MPFR_RNDN);
        return mpfr_get_d(r22101, MPFR_RNDN);
}

static mpfr_t r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22102, "1", 10, MPFR_RNDN);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init(r22105);
        mpfr_init(r22106);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22103, b, MPFR_RNDN);
        mpfr_set_d(r22104, a, MPFR_RNDN);
        mpfr_div(r22105, r22103, r22104, MPFR_RNDN);
        mpfr_mul(r22106, r22105, r22105, MPFR_RNDN);
        mpfr_sub(r22107, r22102, r22106, MPFR_RNDN);
        mpfr_abs(r22108, r22107, MPFR_RNDN);
        mpfr_sqrt(r22109, r22108, MPFR_RNDN);
        return mpfr_get_d(r22109, MPFR_RNDN);
}