#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 r22124 = a;
        float r22125 = r22124 * r22124;
        float r22126 = b;
        float r22127 = r22126 * r22126;
        float r22128 = r22125 - r22127;
        float r22129 = r22128 / r22125;
        float r22130 = fabs(r22129);
        float r22131 = sqrt(r22130);
        return r22131;
}

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


double f_of(float a, float b) {
        float r22140 = 1;
        float r22141 = b;
        float r22142 = a;
        float r22143 = r22141 / r22142;
        float r22144 = r22143 * r22143;
        float r22145 = exp(r22144);
        float r22146 = log(r22145);
        float r22147 = r22140 - r22146;
        float r22148 = fabs(r22147);
        float r22149 = sqrt(r22148);
        return r22149;
}

double f_od(double a, double b) {
        double r22150 = 1;
        double r22151 = b;
        double r22152 = a;
        double r22153 = r22151 / r22152;
        double r22154 = r22153 * r22153;
        double r22155 = exp(r22154);
        double r22156 = log(r22155);
        double r22157 = r22150 - r22156;
        double r22158 = fabs(r22157);
        double r22159 = sqrt(r22158);
        return r22159;
}

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 r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
}

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

static mpfr_t r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22168, "1", 10, MPFR_RNDN);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
}

double f_fm(double a, double b) {
        ;
        mpfr_set_d(r22169, b, MPFR_RNDN);
        mpfr_set_d(r22170, a, MPFR_RNDN);
        mpfr_div(r22171, r22169, r22170, MPFR_RNDN);
        mpfr_mul(r22172, r22171, r22171, MPFR_RNDN);
        mpfr_exp(r22173, r22172, MPFR_RNDN);
        mpfr_log(r22174, r22173, MPFR_RNDN);
        mpfr_sub(r22175, r22168, r22174, MPFR_RNDN);
        mpfr_abs(r22176, r22175, MPFR_RNDN);
        mpfr_sqrt(r22177, r22176, MPFR_RNDN);
        return mpfr_get_d(r22177, MPFR_RNDN);
}

static mpfr_t r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22178, "1", 10, MPFR_RNDN);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
}

double f_dm(double a, double b) {
        ;
        mpfr_set_d(r22179, b, MPFR_RNDN);
        mpfr_set_d(r22180, a, MPFR_RNDN);
        mpfr_div(r22181, r22179, r22180, MPFR_RNDN);
        mpfr_mul(r22182, r22181, r22181, MPFR_RNDN);
        mpfr_exp(r22183, r22182, MPFR_RNDN);
        mpfr_log(r22184, r22183, MPFR_RNDN);
        mpfr_sub(r22185, r22178, r22184, MPFR_RNDN);
        mpfr_abs(r22186, r22185, MPFR_RNDN);
        mpfr_sqrt(r22187, r22186, MPFR_RNDN);
        return mpfr_get_d(r22187, MPFR_RNDN);
}