#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 r21967 = a;
        float r21968 = r21967 * r21967;
        float r21969 = b;
        float r21970 = r21969 * r21969;
        float r21971 = r21968 - r21970;
        float r21972 = r21971 / r21968;
        float r21973 = fabs(r21972);
        float r21974 = sqrt(r21973);
        return r21974;
}

double f_id(double a, double b) {
        double r21975 = a;
        double r21976 = r21975 * r21975;
        double r21977 = b;
        double r21978 = r21977 * r21977;
        double r21979 = r21976 - r21978;
        double r21980 = r21979 / r21976;
        double r21981 = fabs(r21980);
        double r21982 = sqrt(r21981);
        return r21982;
}


double f_of(float a, float b) {
        float r21983 = 1;
        float r21984 = b;
        float r21985 = a;
        float r21986 = r21984 / r21985;
        float r21987 = r21986 * r21986;
        float r21988 = r21983 - r21987;
        float r21989 = fabs(r21988);
        float r21990 = sqrt(r21989);
        return r21990;
}

double f_od(double a, double b) {
        double r21991 = 1;
        double r21992 = b;
        double r21993 = a;
        double r21994 = r21992 / r21993;
        double r21995 = r21994 * r21994;
        double r21996 = r21991 - r21995;
        double r21997 = fabs(r21996);
        double r21998 = sqrt(r21997);
        return r21998;
}

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 r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
}

double f_im(double a, double b) {
        mpfr_set_d(r21999, a, MPFR_RNDN);
        mpfr_mul(r22000, r21999, r21999, MPFR_RNDN);
        mpfr_set_d(r22001, b, MPFR_RNDN);
        mpfr_mul(r22002, r22001, r22001, MPFR_RNDN);
        mpfr_sub(r22003, r22000, r22002, MPFR_RNDN);
        mpfr_div(r22004, r22003, r22000, MPFR_RNDN);
        mpfr_abs(r22005, r22004, MPFR_RNDN);
        mpfr_sqrt(r22006, r22005, MPFR_RNDN);
        return mpfr_get_d(r22006, MPFR_RNDN);
}

static mpfr_t r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22007, "1", 10, MPFR_RNDN);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22008, b, MPFR_RNDN);
        mpfr_set_d(r22009, a, MPFR_RNDN);
        mpfr_div(r22010, r22008, r22009, MPFR_RNDN);
        mpfr_mul(r22011, r22010, r22010, MPFR_RNDN);
        mpfr_sub(r22012, r22007, r22011, MPFR_RNDN);
        mpfr_abs(r22013, r22012, MPFR_RNDN);
        mpfr_sqrt(r22014, r22013, MPFR_RNDN);
        return mpfr_get_d(r22014, MPFR_RNDN);
}

static mpfr_t r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22015, "1", 10, MPFR_RNDN);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init(r22021);
        mpfr_init(r22022);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22016, b, MPFR_RNDN);
        mpfr_set_d(r22017, a, MPFR_RNDN);
        mpfr_div(r22018, r22016, r22017, MPFR_RNDN);
        mpfr_mul(r22019, r22018, r22018, MPFR_RNDN);
        mpfr_sub(r22020, r22015, r22019, MPFR_RNDN);
        mpfr_abs(r22021, r22020, MPFR_RNDN);
        mpfr_sqrt(r22022, r22021, MPFR_RNDN);
        return mpfr_get_d(r22022, MPFR_RNDN);
}