#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 r18687 = wj;
        float r18688 = exp(r18687);
        float r18689 = r18687 * r18688;
        float r18690 = x;
        float r18691 = r18689 - r18690;
        float r18692 = r18688 + r18689;
        float r18693 = r18691 / r18692;
        float r18694 = r18687 - r18693;
        return r18694;
}

double f_id(double wj, double x) {
        double r18695 = wj;
        double r18696 = exp(r18695);
        double r18697 = r18695 * r18696;
        double r18698 = x;
        double r18699 = r18697 - r18698;
        double r18700 = r18696 + r18697;
        double r18701 = r18699 / r18700;
        double r18702 = r18695 - r18701;
        return r18702;
}


double f_of(float wj, float x) {
        float r18703 = wj;
        float r18704 = exp(r18703);
        float r18705 = r18703 * r18704;
        float r18706 = x;
        float r18707 = r18705 - r18706;
        float r18708 = r18704 + r18705;
        float r18709 = r18707 / r18708;
        float r18710 = r18703 - r18709;
        return r18710;
}

double f_od(double wj, double x) {
        double r18711 = wj;
        double r18712 = exp(r18711);
        double r18713 = r18711 * r18712;
        double r18714 = x;
        double r18715 = r18713 - r18714;
        double r18716 = r18712 + r18713;
        double r18717 = r18715 / r18716;
        double r18718 = r18711 - r18717;
        return r18718;
}

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 r18719, r18720, r18721, r18722, r18723, r18724, r18725, r18726;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18719);
        mpfr_init(r18720);
        mpfr_init(r18721);
        mpfr_init(r18722);
        mpfr_init(r18723);
        mpfr_init(r18724);
        mpfr_init(r18725);
        mpfr_init(r18726);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18719, wj, MPFR_RNDN);
        mpfr_exp(r18720, r18719, MPFR_RNDN);
        mpfr_mul(r18721, r18719, r18720, MPFR_RNDN);
        mpfr_set_d(r18722, x, MPFR_RNDN);
        mpfr_sub(r18723, r18721, r18722, MPFR_RNDN);
        mpfr_add(r18724, r18720, r18721, MPFR_RNDN);
        mpfr_div(r18725, r18723, r18724, MPFR_RNDN);
        mpfr_sub(r18726, r18719, r18725, MPFR_RNDN);
        return mpfr_get_d(r18726, MPFR_RNDN);
}

static mpfr_t r18727, r18728, r18729, r18730, r18731, r18732, r18733, r18734;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18727);
        mpfr_init(r18728);
        mpfr_init(r18729);
        mpfr_init(r18730);
        mpfr_init(r18731);
        mpfr_init(r18732);
        mpfr_init(r18733);
        mpfr_init(r18734);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18727, wj, MPFR_RNDN);
        mpfr_exp(r18728, r18727, MPFR_RNDN);
        mpfr_mul(r18729, r18727, r18728, MPFR_RNDN);
        mpfr_set_d(r18730, x, MPFR_RNDN);
        mpfr_sub(r18731, r18729, r18730, MPFR_RNDN);
        mpfr_add(r18732, r18728, r18729, MPFR_RNDN);
        mpfr_div(r18733, r18731, r18732, MPFR_RNDN);
        mpfr_sub(r18734, r18727, r18733, MPFR_RNDN);
        return mpfr_get_d(r18734, MPFR_RNDN);
}

static mpfr_t r18735, r18736, r18737, r18738, r18739, r18740, r18741, r18742;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18735);
        mpfr_init(r18736);
        mpfr_init(r18737);
        mpfr_init(r18738);
        mpfr_init(r18739);
        mpfr_init(r18740);
        mpfr_init(r18741);
        mpfr_init(r18742);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18735, wj, MPFR_RNDN);
        mpfr_exp(r18736, r18735, MPFR_RNDN);
        mpfr_mul(r18737, r18735, r18736, MPFR_RNDN);
        mpfr_set_d(r18738, x, MPFR_RNDN);
        mpfr_sub(r18739, r18737, r18738, MPFR_RNDN);
        mpfr_add(r18740, r18736, r18737, MPFR_RNDN);
        mpfr_div(r18741, r18739, r18740, MPFR_RNDN);
        mpfr_sub(r18742, r18735, r18741, MPFR_RNDN);
        return mpfr_get_d(r18742, MPFR_RNDN);
}