#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 r18647 = wj;
        float r18648 = exp(r18647);
        float r18649 = r18647 * r18648;
        float r18650 = x;
        float r18651 = r18649 - r18650;
        float r18652 = r18648 + r18649;
        float r18653 = r18651 / r18652;
        float r18654 = r18647 - r18653;
        return r18654;
}

double f_id(double wj, double x) {
        double r18655 = wj;
        double r18656 = exp(r18655);
        double r18657 = r18655 * r18656;
        double r18658 = x;
        double r18659 = r18657 - r18658;
        double r18660 = r18656 + r18657;
        double r18661 = r18659 / r18660;
        double r18662 = r18655 - r18661;
        return r18662;
}


double f_of(float wj, float x) {
        float r18663 = wj;
        float r18664 = 1.0f;
        float r18665 = r18664 + r18663;
        float r18666 = r18663 / r18665;
        float r18667 = r18663 - r18666;
        float r18668 = x;
        float r18669 = exp(r18663);
        float r18670 = r18663 * r18669;
        float r18671 = r18669 + r18670;
        float r18672 = r18668 / r18671;
        float r18673 = r18667 + r18672;
        return r18673;
}

double f_od(double wj, double x) {
        double r18674 = wj;
        double r18675 = 1.0;
        double r18676 = r18675 + r18674;
        double r18677 = r18674 / r18676;
        double r18678 = r18674 - r18677;
        double r18679 = x;
        double r18680 = exp(r18674);
        double r18681 = r18674 * r18680;
        double r18682 = r18680 + r18681;
        double r18683 = r18679 / r18682;
        double r18684 = r18678 + r18683;
        return r18684;
}

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 r18685, r18686, r18687, r18688, r18689, r18690, r18691, r18692;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18685);
        mpfr_init(r18686);
        mpfr_init(r18687);
        mpfr_init(r18688);
        mpfr_init(r18689);
        mpfr_init(r18690);
        mpfr_init(r18691);
        mpfr_init(r18692);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18685, wj, MPFR_RNDN);
        mpfr_exp(r18686, r18685, MPFR_RNDN);
        mpfr_mul(r18687, r18685, r18686, MPFR_RNDN);
        mpfr_set_d(r18688, x, MPFR_RNDN);
        mpfr_sub(r18689, r18687, r18688, MPFR_RNDN);
        mpfr_add(r18690, r18686, r18687, MPFR_RNDN);
        mpfr_div(r18691, r18689, r18690, MPFR_RNDN);
        mpfr_sub(r18692, r18685, r18691, MPFR_RNDN);
        return mpfr_get_d(r18692, MPFR_RNDN);
}

static mpfr_t r18693, r18694, r18695, r18696, r18697, r18698, r18699, r18700, r18701, r18702, r18703;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18693);
        mpfr_init_set_str(r18694, "1", 10, MPFR_RNDN);
        mpfr_init(r18695);
        mpfr_init(r18696);
        mpfr_init(r18697);
        mpfr_init(r18698);
        mpfr_init(r18699);
        mpfr_init(r18700);
        mpfr_init(r18701);
        mpfr_init(r18702);
        mpfr_init(r18703);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18693, wj, MPFR_RNDN);
        ;
        mpfr_add(r18695, r18694, r18693, MPFR_RNDN);
        mpfr_div(r18696, r18693, r18695, MPFR_RNDN);
        mpfr_sub(r18697, r18693, r18696, MPFR_RNDN);
        mpfr_set_d(r18698, x, MPFR_RNDN);
        mpfr_exp(r18699, r18693, MPFR_RNDN);
        mpfr_mul(r18700, r18693, r18699, MPFR_RNDN);
        mpfr_add(r18701, r18699, r18700, MPFR_RNDN);
        mpfr_div(r18702, r18698, r18701, MPFR_RNDN);
        mpfr_add(r18703, r18697, r18702, MPFR_RNDN);
        return mpfr_get_d(r18703, MPFR_RNDN);
}

static mpfr_t r18704, r18705, r18706, r18707, r18708, r18709, r18710, r18711, r18712, r18713, r18714;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18704);
        mpfr_init_set_str(r18705, "1", 10, MPFR_RNDN);
        mpfr_init(r18706);
        mpfr_init(r18707);
        mpfr_init(r18708);
        mpfr_init(r18709);
        mpfr_init(r18710);
        mpfr_init(r18711);
        mpfr_init(r18712);
        mpfr_init(r18713);
        mpfr_init(r18714);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18704, wj, MPFR_RNDN);
        ;
        mpfr_add(r18706, r18705, r18704, MPFR_RNDN);
        mpfr_div(r18707, r18704, r18706, MPFR_RNDN);
        mpfr_sub(r18708, r18704, r18707, MPFR_RNDN);
        mpfr_set_d(r18709, x, MPFR_RNDN);
        mpfr_exp(r18710, r18704, MPFR_RNDN);
        mpfr_mul(r18711, r18704, r18710, MPFR_RNDN);
        mpfr_add(r18712, r18710, r18711, MPFR_RNDN);
        mpfr_div(r18713, r18709, r18712, MPFR_RNDN);
        mpfr_add(r18714, r18708, r18713, MPFR_RNDN);
        return mpfr_get_d(r18714, MPFR_RNDN);
}