#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 r22105 = a;
        float r22106 = r22105 * r22105;
        float r22107 = b;
        float r22108 = r22107 * r22107;
        float r22109 = r22106 - r22108;
        float r22110 = r22109 / r22106;
        float r22111 = fabs(r22110);
        float r22112 = sqrt(r22111);
        return r22112;
}

double f_id(double a, double b) {
        double r22113 = a;
        double r22114 = r22113 * r22113;
        double r22115 = b;
        double r22116 = r22115 * r22115;
        double r22117 = r22114 - r22116;
        double r22118 = r22117 / r22114;
        double r22119 = fabs(r22118);
        double r22120 = sqrt(r22119);
        return r22120;
}


double f_of(float a, float b) {
        float r22121 = 1;
        float r22122 = b;
        float r22123 = a;
        float r22124 = r22122 / r22123;
        float r22125 = sqrt(r22124);
        float r22126 = r22124 * r22125;
        float r22127 = r22126 * r22125;
        float r22128 = r22121 - r22127;
        float r22129 = fabs(r22128);
        float r22130 = sqrt(r22129);
        return r22130;
}

double f_od(double a, double b) {
        double r22131 = 1;
        double r22132 = b;
        double r22133 = a;
        double r22134 = r22132 / r22133;
        double r22135 = sqrt(r22134);
        double r22136 = r22134 * r22135;
        double r22137 = r22136 * r22135;
        double r22138 = r22131 - r22137;
        double r22139 = fabs(r22138);
        double r22140 = sqrt(r22139);
        return r22140;
}

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 r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
}

double f_im(double a, double b) {
        mpfr_set_d(r22141, a, MPFR_RNDN);
        mpfr_mul(r22142, r22141, r22141, MPFR_RNDN);
        mpfr_set_d(r22143, b, MPFR_RNDN);
        mpfr_mul(r22144, r22143, r22143, MPFR_RNDN);
        mpfr_sub(r22145, r22142, r22144, MPFR_RNDN);
        mpfr_div(r22146, r22145, r22142, MPFR_RNDN);
        mpfr_abs(r22147, r22146, MPFR_RNDN);
        mpfr_sqrt(r22148, r22147, MPFR_RNDN);
        return mpfr_get_d(r22148, MPFR_RNDN);
}

static mpfr_t r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22149, "1", 10, MPFR_RNDN);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22150, b, MPFR_RNDN);
        mpfr_set_d(r22151, a, MPFR_RNDN);
        mpfr_div(r22152, r22150, r22151, MPFR_RNDN);
        mpfr_sqrt(r22153, r22152, MPFR_RNDN);
        mpfr_mul(r22154, r22152, r22153, MPFR_RNDN);
        mpfr_mul(r22155, r22154, r22153, MPFR_RNDN);
        mpfr_sub(r22156, r22149, r22155, MPFR_RNDN);
        mpfr_abs(r22157, r22156, MPFR_RNDN);
        mpfr_sqrt(r22158, r22157, MPFR_RNDN);
        return mpfr_get_d(r22158, MPFR_RNDN);
}

static mpfr_t r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22159, "1", 10, MPFR_RNDN);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22160, b, MPFR_RNDN);
        mpfr_set_d(r22161, a, MPFR_RNDN);
        mpfr_div(r22162, r22160, r22161, MPFR_RNDN);
        mpfr_sqrt(r22163, r22162, MPFR_RNDN);
        mpfr_mul(r22164, r22162, r22163, MPFR_RNDN);
        mpfr_mul(r22165, r22164, r22163, MPFR_RNDN);
        mpfr_sub(r22166, r22159, r22165, MPFR_RNDN);
        mpfr_abs(r22167, r22166, MPFR_RNDN);
        mpfr_sqrt(r22168, r22167, MPFR_RNDN);
        return mpfr_get_d(r22168, MPFR_RNDN);
}