#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 r18635 = wj;
        float r18636 = exp(r18635);
        float r18637 = r18635 * r18636;
        float r18638 = x;
        float r18639 = r18637 - r18638;
        float r18640 = r18636 + r18637;
        float r18641 = r18639 / r18640;
        float r18642 = r18635 - r18641;
        return r18642;
}

double f_id(double wj, double x) {
        double r18643 = wj;
        double r18644 = exp(r18643);
        double r18645 = r18643 * r18644;
        double r18646 = x;
        double r18647 = r18645 - r18646;
        double r18648 = r18644 + r18645;
        double r18649 = r18647 / r18648;
        double r18650 = r18643 - r18649;
        return r18650;
}


double f_of(float wj, float x) {
        float r18651 = wj;
        float r18652 = 1.0f;
        float r18653 = r18652 + r18651;
        float r18654 = r18651 / r18653;
        float r18655 = r18651 - r18654;
        float r18656 = x;
        float r18657 = exp(r18651);
        float r18658 = r18651 * r18657;
        float r18659 = r18657 + r18658;
        float r18660 = r18656 / r18659;
        float r18661 = r18655 + r18660;
        return r18661;
}

double f_od(double wj, double x) {
        double r18662 = wj;
        double r18663 = 1.0;
        double r18664 = r18663 + r18662;
        double r18665 = r18662 / r18664;
        double r18666 = r18662 - r18665;
        double r18667 = x;
        double r18668 = exp(r18662);
        double r18669 = r18662 * r18668;
        double r18670 = r18668 + r18669;
        double r18671 = r18667 / r18670;
        double r18672 = r18666 + r18671;
        return r18672;
}

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 r18673, r18674, r18675, r18676, r18677, r18678, r18679, r18680;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18673);
        mpfr_init(r18674);
        mpfr_init(r18675);
        mpfr_init(r18676);
        mpfr_init(r18677);
        mpfr_init(r18678);
        mpfr_init(r18679);
        mpfr_init(r18680);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18673, wj, MPFR_RNDN);
        mpfr_exp(r18674, r18673, MPFR_RNDN);
        mpfr_mul(r18675, r18673, r18674, MPFR_RNDN);
        mpfr_set_d(r18676, x, MPFR_RNDN);
        mpfr_sub(r18677, r18675, r18676, MPFR_RNDN);
        mpfr_add(r18678, r18674, r18675, MPFR_RNDN);
        mpfr_div(r18679, r18677, r18678, MPFR_RNDN);
        mpfr_sub(r18680, r18673, r18679, MPFR_RNDN);
        return mpfr_get_d(r18680, MPFR_RNDN);
}

static mpfr_t r18681, r18682, r18683, r18684, r18685, r18686, r18687, r18688, r18689, r18690, r18691;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18681);
        mpfr_init_set_str(r18682, "1", 10, MPFR_RNDN);
        mpfr_init(r18683);
        mpfr_init(r18684);
        mpfr_init(r18685);
        mpfr_init(r18686);
        mpfr_init(r18687);
        mpfr_init(r18688);
        mpfr_init(r18689);
        mpfr_init(r18690);
        mpfr_init(r18691);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18681, wj, MPFR_RNDN);
        ;
        mpfr_add(r18683, r18682, r18681, MPFR_RNDN);
        mpfr_div(r18684, r18681, r18683, MPFR_RNDN);
        mpfr_sub(r18685, r18681, r18684, MPFR_RNDN);
        mpfr_set_d(r18686, x, MPFR_RNDN);
        mpfr_exp(r18687, r18681, MPFR_RNDN);
        mpfr_mul(r18688, r18681, r18687, MPFR_RNDN);
        mpfr_add(r18689, r18687, r18688, MPFR_RNDN);
        mpfr_div(r18690, r18686, r18689, MPFR_RNDN);
        mpfr_add(r18691, r18685, r18690, MPFR_RNDN);
        return mpfr_get_d(r18691, MPFR_RNDN);
}

static mpfr_t r18692, r18693, r18694, r18695, r18696, r18697, r18698, r18699, r18700, r18701, r18702;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18692);
        mpfr_init_set_str(r18693, "1", 10, MPFR_RNDN);
        mpfr_init(r18694);
        mpfr_init(r18695);
        mpfr_init(r18696);
        mpfr_init(r18697);
        mpfr_init(r18698);
        mpfr_init(r18699);
        mpfr_init(r18700);
        mpfr_init(r18701);
        mpfr_init(r18702);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18692, wj, MPFR_RNDN);
        ;
        mpfr_add(r18694, r18693, r18692, MPFR_RNDN);
        mpfr_div(r18695, r18692, r18694, MPFR_RNDN);
        mpfr_sub(r18696, r18692, r18695, MPFR_RNDN);
        mpfr_set_d(r18697, x, MPFR_RNDN);
        mpfr_exp(r18698, r18692, MPFR_RNDN);
        mpfr_mul(r18699, r18692, r18698, MPFR_RNDN);
        mpfr_add(r18700, r18698, r18699, MPFR_RNDN);
        mpfr_div(r18701, r18697, r18700, MPFR_RNDN);
        mpfr_add(r18702, r18696, r18701, MPFR_RNDN);
        return mpfr_get_d(r18702, MPFR_RNDN);
}