#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 r18988 = wj;
        float r18989 = exp(r18988);
        float r18990 = r18988 * r18989;
        float r18991 = x;
        float r18992 = r18990 - r18991;
        float r18993 = r18989 + r18990;
        float r18994 = r18992 / r18993;
        float r18995 = r18988 - r18994;
        return r18995;
}

double f_id(double wj, double x) {
        double r18996 = wj;
        double r18997 = exp(r18996);
        double r18998 = r18996 * r18997;
        double r18999 = x;
        double r19000 = r18998 - r18999;
        double r19001 = r18997 + r18998;
        double r19002 = r19000 / r19001;
        double r19003 = r18996 - r19002;
        return r19003;
}


double f_of(float wj, float x) {
        float r19004 = wj;
        float r19005 = 4.0f;
        float r19006 = pow(r19004, r19005);
        float r19007 = r19004 * r19004;
        float r19008 = r19004 * (r19004 * r19004);
        float r19009 = r19007 - r19008;
        float r19010 = r19006 + r19009;
        float r19011 = x;
        float r19012 = 1.0f;
        float r19013 = r19012 + r19004;
        float r19014 = exp(r19004);
        float r19015 = r19013 * r19014;
        float r19016 = r19011 / r19015;
        float r19017 = r19010 + r19016;
        return r19017;
}

double f_od(double wj, double x) {
        double r19018 = wj;
        double r19019 = 4.0;
        double r19020 = pow(r19018, r19019);
        double r19021 = r19018 * r19018;
        double r19022 = r19018 * (r19018 * r19018);
        double r19023 = r19021 - r19022;
        double r19024 = r19020 + r19023;
        double r19025 = x;
        double r19026 = 1.0;
        double r19027 = r19026 + r19018;
        double r19028 = exp(r19018);
        double r19029 = r19027 * r19028;
        double r19030 = r19025 / r19029;
        double r19031 = r19024 + r19030;
        return r19031;
}

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 r19032, r19033, r19034, r19035, r19036, r19037, r19038, r19039;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19032);
        mpfr_init(r19033);
        mpfr_init(r19034);
        mpfr_init(r19035);
        mpfr_init(r19036);
        mpfr_init(r19037);
        mpfr_init(r19038);
        mpfr_init(r19039);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19032, wj, MPFR_RNDN);
        mpfr_exp(r19033, r19032, MPFR_RNDN);
        mpfr_mul(r19034, r19032, r19033, MPFR_RNDN);
        mpfr_set_d(r19035, x, MPFR_RNDN);
        mpfr_sub(r19036, r19034, r19035, MPFR_RNDN);
        mpfr_add(r19037, r19033, r19034, MPFR_RNDN);
        mpfr_div(r19038, r19036, r19037, MPFR_RNDN);
        mpfr_sub(r19039, r19032, r19038, MPFR_RNDN);
        return mpfr_get_d(r19039, MPFR_RNDN);
}

static mpfr_t r19040, r19041, r19042, r19043, r19044, r19045, r19046, r19047, r19048, r19049, r19050, r19051, r19052, r19053;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19040);
        mpfr_init_set_str(r19041, "4", 10, MPFR_RNDN);
        mpfr_init(r19042);
        mpfr_init(r19043);
        mpfr_init(r19044);
        mpfr_init(r19045);
        mpfr_init(r19046);
        mpfr_init(r19047);
        mpfr_init_set_str(r19048, "1", 10, MPFR_RNDN);
        mpfr_init(r19049);
        mpfr_init(r19050);
        mpfr_init(r19051);
        mpfr_init(r19052);
        mpfr_init(r19053);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19040, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19042, r19040, r19041, MPFR_RNDN);
        mpfr_sqr(r19043, r19040, MPFR_RNDN);
        mpfr_mul(r19044, r19040, r19040, MPFR_RNDN); mpfr_mul(r19044, r19044, r19040, MPFR_RNDN);
        mpfr_sub(r19045, r19043, r19044, MPFR_RNDN);
        mpfr_add(r19046, r19042, r19045, MPFR_RNDN);
        mpfr_set_d(r19047, x, MPFR_RNDN);
        ;
        mpfr_add(r19049, r19048, r19040, MPFR_RNDN);
        mpfr_exp(r19050, r19040, MPFR_RNDN);
        mpfr_mul(r19051, r19049, r19050, MPFR_RNDN);
        mpfr_div(r19052, r19047, r19051, MPFR_RNDN);
        mpfr_add(r19053, r19046, r19052, MPFR_RNDN);
        return mpfr_get_d(r19053, MPFR_RNDN);
}

static mpfr_t r19054, r19055, r19056, r19057, r19058, r19059, r19060, r19061, r19062, r19063, r19064, r19065, r19066, r19067;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19054);
        mpfr_init_set_str(r19055, "4", 10, MPFR_RNDN);
        mpfr_init(r19056);
        mpfr_init(r19057);
        mpfr_init(r19058);
        mpfr_init(r19059);
        mpfr_init(r19060);
        mpfr_init(r19061);
        mpfr_init_set_str(r19062, "1", 10, MPFR_RNDN);
        mpfr_init(r19063);
        mpfr_init(r19064);
        mpfr_init(r19065);
        mpfr_init(r19066);
        mpfr_init(r19067);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19054, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19056, r19054, r19055, MPFR_RNDN);
        mpfr_sqr(r19057, r19054, MPFR_RNDN);
        mpfr_mul(r19058, r19054, r19054, MPFR_RNDN); mpfr_mul(r19058, r19058, r19054, MPFR_RNDN);
        mpfr_sub(r19059, r19057, r19058, MPFR_RNDN);
        mpfr_add(r19060, r19056, r19059, MPFR_RNDN);
        mpfr_set_d(r19061, x, MPFR_RNDN);
        ;
        mpfr_add(r19063, r19062, r19054, MPFR_RNDN);
        mpfr_exp(r19064, r19054, MPFR_RNDN);
        mpfr_mul(r19065, r19063, r19064, MPFR_RNDN);
        mpfr_div(r19066, r19061, r19065, MPFR_RNDN);
        mpfr_add(r19067, r19060, r19066, MPFR_RNDN);
        return mpfr_get_d(r19067, MPFR_RNDN);
}