#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Jmat.Real.lambertw, newton loop step";

double f_if(float wj, float x) {
        float r18691 = wj;
        float r18692 = exp(r18691);
        float r18693 = r18691 * r18692;
        float r18694 = x;
        float r18695 = r18693 - r18694;
        float r18696 = r18692 + r18693;
        float r18697 = r18695 / r18696;
        float r18698 = r18691 - r18697;
        return r18698;
}

double f_id(double wj, double x) {
        double r18699 = wj;
        double r18700 = exp(r18699);
        double r18701 = r18699 * r18700;
        double r18702 = x;
        double r18703 = r18701 - r18702;
        double r18704 = r18700 + r18701;
        double r18705 = r18703 / r18704;
        double r18706 = r18699 - r18705;
        return r18706;
}


double f_of(float wj, float x) {
        float r18707 = wj;
        float r18708 = exp(r18707);
        float r18709 = r18707 * r18708;
        float r18710 = x;
        float r18711 = r18709 - r18710;
        float r18712 = r18708 + r18709;
        float r18713 = r18711 / r18712;
        float r18714 = r18707 - r18713;
        return r18714;
}

double f_od(double wj, double x) {
        double r18715 = wj;
        double r18716 = exp(r18715);
        double r18717 = r18715 * r18716;
        double r18718 = x;
        double r18719 = r18717 - r18718;
        double r18720 = r18716 + r18717;
        double r18721 = r18719 / r18720;
        double r18722 = r18715 - r18721;
        return r18722;
}

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 r18723, r18724, r18725, r18726, r18727, r18728, r18729, r18730;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18723);
        mpfr_init(r18724);
        mpfr_init(r18725);
        mpfr_init(r18726);
        mpfr_init(r18727);
        mpfr_init(r18728);
        mpfr_init(r18729);
        mpfr_init(r18730);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18723, wj, MPFR_RNDN);
        mpfr_exp(r18724, r18723, MPFR_RNDN);
        mpfr_mul(r18725, r18723, r18724, MPFR_RNDN);
        mpfr_set_d(r18726, x, MPFR_RNDN);
        mpfr_sub(r18727, r18725, r18726, MPFR_RNDN);
        mpfr_add(r18728, r18724, r18725, MPFR_RNDN);
        mpfr_div(r18729, r18727, r18728, MPFR_RNDN);
        mpfr_sub(r18730, r18723, r18729, MPFR_RNDN);
        return mpfr_get_d(r18730, MPFR_RNDN);
}

static mpfr_t r18731, r18732, r18733, r18734, r18735, r18736, r18737, r18738;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18731);
        mpfr_init(r18732);
        mpfr_init(r18733);
        mpfr_init(r18734);
        mpfr_init(r18735);
        mpfr_init(r18736);
        mpfr_init(r18737);
        mpfr_init(r18738);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18731, wj, MPFR_RNDN);
        mpfr_exp(r18732, r18731, MPFR_RNDN);
        mpfr_mul(r18733, r18731, r18732, MPFR_RNDN);
        mpfr_set_d(r18734, x, MPFR_RNDN);
        mpfr_sub(r18735, r18733, r18734, MPFR_RNDN);
        mpfr_add(r18736, r18732, r18733, MPFR_RNDN);
        mpfr_div(r18737, r18735, r18736, MPFR_RNDN);
        mpfr_sub(r18738, r18731, r18737, MPFR_RNDN);
        return mpfr_get_d(r18738, MPFR_RNDN);
}

static mpfr_t r18739, r18740, r18741, r18742, r18743, r18744, r18745, r18746;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18739);
        mpfr_init(r18740);
        mpfr_init(r18741);
        mpfr_init(r18742);
        mpfr_init(r18743);
        mpfr_init(r18744);
        mpfr_init(r18745);
        mpfr_init(r18746);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18739, wj, MPFR_RNDN);
        mpfr_exp(r18740, r18739, MPFR_RNDN);
        mpfr_mul(r18741, r18739, r18740, MPFR_RNDN);
        mpfr_set_d(r18742, x, MPFR_RNDN);
        mpfr_sub(r18743, r18741, r18742, MPFR_RNDN);
        mpfr_add(r18744, r18740, r18741, MPFR_RNDN);
        mpfr_div(r18745, r18743, r18744, MPFR_RNDN);
        mpfr_sub(r18746, r18739, r18745, MPFR_RNDN);
        return mpfr_get_d(r18746, MPFR_RNDN);
}