#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 r22123 = a;
        float r22124 = r22123 * r22123;
        float r22125 = b;
        float r22126 = r22125 * r22125;
        float r22127 = r22124 - r22126;
        float r22128 = r22127 / r22124;
        float r22129 = fabs(r22128);
        float r22130 = sqrt(r22129);
        return r22130;
}

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


double f_of(float a, float b) {
        float r22139 = 1;
        float r22140 = b;
        float r22141 = a;
        float r22142 = r22140 / r22141;
        float r22143 = r22142 * r22142;
        float r22144 = r22139 - r22143;
        float r22145 = fabs(r22144);
        float r22146 = sqrt(r22145);
        return r22146;
}

double f_od(double a, double b) {
        double r22147 = 1;
        double r22148 = b;
        double r22149 = a;
        double r22150 = r22148 / r22149;
        double r22151 = r22150 * r22150;
        double r22152 = r22147 - r22151;
        double r22153 = fabs(r22152);
        double r22154 = sqrt(r22153);
        return r22154;
}

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 r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
}

double f_im(double a, double b) {
        mpfr_set_d(r22155, a, MPFR_RNDN);
        mpfr_mul(r22156, r22155, r22155, MPFR_RNDN);
        mpfr_set_d(r22157, b, MPFR_RNDN);
        mpfr_mul(r22158, r22157, r22157, MPFR_RNDN);
        mpfr_sub(r22159, r22156, r22158, MPFR_RNDN);
        mpfr_div(r22160, r22159, r22156, MPFR_RNDN);
        mpfr_abs(r22161, r22160, MPFR_RNDN);
        mpfr_sqrt(r22162, r22161, MPFR_RNDN);
        return mpfr_get_d(r22162, MPFR_RNDN);
}

static mpfr_t r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22163, "1", 10, MPFR_RNDN);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22164, b, MPFR_RNDN);
        mpfr_set_d(r22165, a, MPFR_RNDN);
        mpfr_div(r22166, r22164, r22165, MPFR_RNDN);
        mpfr_mul(r22167, r22166, r22166, MPFR_RNDN);
        mpfr_sub(r22168, r22163, r22167, MPFR_RNDN);
        mpfr_abs(r22169, r22168, MPFR_RNDN);
        mpfr_sqrt(r22170, r22169, MPFR_RNDN);
        return mpfr_get_d(r22170, MPFR_RNDN);
}

static mpfr_t r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22171, "1", 10, MPFR_RNDN);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22172, b, MPFR_RNDN);
        mpfr_set_d(r22173, a, MPFR_RNDN);
        mpfr_div(r22174, r22172, r22173, MPFR_RNDN);
        mpfr_mul(r22175, r22174, r22174, MPFR_RNDN);
        mpfr_sub(r22176, r22171, r22175, MPFR_RNDN);
        mpfr_abs(r22177, r22176, MPFR_RNDN);
        mpfr_sqrt(r22178, r22177, MPFR_RNDN);
        return mpfr_get_d(r22178, MPFR_RNDN);
}