#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 r18599 = wj;
        float r18600 = exp(r18599);
        float r18601 = r18599 * r18600;
        float r18602 = x;
        float r18603 = r18601 - r18602;
        float r18604 = r18600 + r18601;
        float r18605 = r18603 / r18604;
        float r18606 = r18599 - r18605;
        return r18606;
}

double f_id(double wj, double x) {
        double r18607 = wj;
        double r18608 = exp(r18607);
        double r18609 = r18607 * r18608;
        double r18610 = x;
        double r18611 = r18609 - r18610;
        double r18612 = r18608 + r18609;
        double r18613 = r18611 / r18612;
        double r18614 = r18607 - r18613;
        return r18614;
}


double f_of(float wj, float x) {
        float r18615 = wj;
        float r18616 = 1.0f;
        float r18617 = r18616 + r18615;
        float r18618 = r18615 / r18617;
        float r18619 = r18615 - r18618;
        float r18620 = x;
        float r18621 = exp(r18615);
        float r18622 = r18615 * r18621;
        float r18623 = r18621 + r18622;
        float r18624 = r18620 / r18623;
        float r18625 = r18619 + r18624;
        return r18625;
}

double f_od(double wj, double x) {
        double r18626 = wj;
        double r18627 = 1.0;
        double r18628 = r18627 + r18626;
        double r18629 = r18626 / r18628;
        double r18630 = r18626 - r18629;
        double r18631 = x;
        double r18632 = exp(r18626);
        double r18633 = r18626 * r18632;
        double r18634 = r18632 + r18633;
        double r18635 = r18631 / r18634;
        double r18636 = r18630 + r18635;
        return r18636;
}

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 r18637, r18638, r18639, r18640, r18641, r18642, r18643, r18644;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18637);
        mpfr_init(r18638);
        mpfr_init(r18639);
        mpfr_init(r18640);
        mpfr_init(r18641);
        mpfr_init(r18642);
        mpfr_init(r18643);
        mpfr_init(r18644);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18637, wj, MPFR_RNDN);
        mpfr_exp(r18638, r18637, MPFR_RNDN);
        mpfr_mul(r18639, r18637, r18638, MPFR_RNDN);
        mpfr_set_d(r18640, x, MPFR_RNDN);
        mpfr_sub(r18641, r18639, r18640, MPFR_RNDN);
        mpfr_add(r18642, r18638, r18639, MPFR_RNDN);
        mpfr_div(r18643, r18641, r18642, MPFR_RNDN);
        mpfr_sub(r18644, r18637, r18643, MPFR_RNDN);
        return mpfr_get_d(r18644, MPFR_RNDN);
}

static mpfr_t r18645, r18646, r18647, r18648, r18649, r18650, r18651, r18652, r18653, r18654, r18655;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18645);
        mpfr_init_set_str(r18646, "1", 10, MPFR_RNDN);
        mpfr_init(r18647);
        mpfr_init(r18648);
        mpfr_init(r18649);
        mpfr_init(r18650);
        mpfr_init(r18651);
        mpfr_init(r18652);
        mpfr_init(r18653);
        mpfr_init(r18654);
        mpfr_init(r18655);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18645, wj, MPFR_RNDN);
        ;
        mpfr_add(r18647, r18646, r18645, MPFR_RNDN);
        mpfr_div(r18648, r18645, r18647, MPFR_RNDN);
        mpfr_sub(r18649, r18645, r18648, MPFR_RNDN);
        mpfr_set_d(r18650, x, MPFR_RNDN);
        mpfr_exp(r18651, r18645, MPFR_RNDN);
        mpfr_mul(r18652, r18645, r18651, MPFR_RNDN);
        mpfr_add(r18653, r18651, r18652, MPFR_RNDN);
        mpfr_div(r18654, r18650, r18653, MPFR_RNDN);
        mpfr_add(r18655, r18649, r18654, MPFR_RNDN);
        return mpfr_get_d(r18655, MPFR_RNDN);
}

static mpfr_t r18656, r18657, r18658, r18659, r18660, r18661, r18662, r18663, r18664, r18665, r18666;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18656);
        mpfr_init_set_str(r18657, "1", 10, MPFR_RNDN);
        mpfr_init(r18658);
        mpfr_init(r18659);
        mpfr_init(r18660);
        mpfr_init(r18661);
        mpfr_init(r18662);
        mpfr_init(r18663);
        mpfr_init(r18664);
        mpfr_init(r18665);
        mpfr_init(r18666);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18656, wj, MPFR_RNDN);
        ;
        mpfr_add(r18658, r18657, r18656, MPFR_RNDN);
        mpfr_div(r18659, r18656, r18658, MPFR_RNDN);
        mpfr_sub(r18660, r18656, r18659, MPFR_RNDN);
        mpfr_set_d(r18661, x, MPFR_RNDN);
        mpfr_exp(r18662, r18656, MPFR_RNDN);
        mpfr_mul(r18663, r18656, r18662, MPFR_RNDN);
        mpfr_add(r18664, r18662, r18663, MPFR_RNDN);
        mpfr_div(r18665, r18661, r18664, MPFR_RNDN);
        mpfr_add(r18666, r18660, r18665, MPFR_RNDN);
        return mpfr_get_d(r18666, MPFR_RNDN);
}