#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 r19139 = wj;
        float r19140 = exp(r19139);
        float r19141 = r19139 * r19140;
        float r19142 = x;
        float r19143 = r19141 - r19142;
        float r19144 = r19140 + r19141;
        float r19145 = r19143 / r19144;
        float r19146 = r19139 - r19145;
        return r19146;
}

double f_id(double wj, double x) {
        double r19147 = wj;
        double r19148 = exp(r19147);
        double r19149 = r19147 * r19148;
        double r19150 = x;
        double r19151 = r19149 - r19150;
        double r19152 = r19148 + r19149;
        double r19153 = r19151 / r19152;
        double r19154 = r19147 - r19153;
        return r19154;
}


double f_of(float wj, float x) {
        float r19155 = x;
        float r19156 = wj;
        float r19157 = r19156 * r19156;
        float r19158 = r19155 + r19157;
        return r19158;
}

double f_od(double wj, double x) {
        double r19159 = x;
        double r19160 = wj;
        double r19161 = r19160 * r19160;
        double r19162 = r19159 + r19161;
        return r19162;
}

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 r19163, r19164, r19165, r19166, r19167, r19168, r19169, r19170;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19163);
        mpfr_init(r19164);
        mpfr_init(r19165);
        mpfr_init(r19166);
        mpfr_init(r19167);
        mpfr_init(r19168);
        mpfr_init(r19169);
        mpfr_init(r19170);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19163, wj, MPFR_RNDN);
        mpfr_exp(r19164, r19163, MPFR_RNDN);
        mpfr_mul(r19165, r19163, r19164, MPFR_RNDN);
        mpfr_set_d(r19166, x, MPFR_RNDN);
        mpfr_sub(r19167, r19165, r19166, MPFR_RNDN);
        mpfr_add(r19168, r19164, r19165, MPFR_RNDN);
        mpfr_div(r19169, r19167, r19168, MPFR_RNDN);
        mpfr_sub(r19170, r19163, r19169, MPFR_RNDN);
        return mpfr_get_d(r19170, MPFR_RNDN);
}

static mpfr_t r19171, r19172, r19173, r19174;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19171);
        mpfr_init(r19172);
        mpfr_init(r19173);
        mpfr_init(r19174);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19171, x, MPFR_RNDN);
        mpfr_set_d(r19172, wj, MPFR_RNDN);
        mpfr_sqr(r19173, r19172, MPFR_RNDN);
        mpfr_add(r19174, r19171, r19173, MPFR_RNDN);
        return mpfr_get_d(r19174, MPFR_RNDN);
}

static mpfr_t r19175, r19176, r19177, r19178;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19175);
        mpfr_init(r19176);
        mpfr_init(r19177);
        mpfr_init(r19178);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19175, x, MPFR_RNDN);
        mpfr_set_d(r19176, wj, MPFR_RNDN);
        mpfr_sqr(r19177, r19176, MPFR_RNDN);
        mpfr_add(r19178, r19175, r19177, MPFR_RNDN);
        return mpfr_get_d(r19178, MPFR_RNDN);
}