#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 r19127 = wj;
        float r19128 = exp(r19127);
        float r19129 = r19127 * r19128;
        float r19130 = x;
        float r19131 = r19129 - r19130;
        float r19132 = r19128 + r19129;
        float r19133 = r19131 / r19132;
        float r19134 = r19127 - r19133;
        return r19134;
}

double f_id(double wj, double x) {
        double r19135 = wj;
        double r19136 = exp(r19135);
        double r19137 = r19135 * r19136;
        double r19138 = x;
        double r19139 = r19137 - r19138;
        double r19140 = r19136 + r19137;
        double r19141 = r19139 / r19140;
        double r19142 = r19135 - r19141;
        return r19142;
}


double f_of(float wj, float x) {
        float r19143 = wj;
        float r19144 = r19143 * r19143;
        float r19145 = x;
        float r19146 = r19144 + r19145;
        float r19147 = 2.0f;
        float r19148 = r19143 * r19145;
        float r19149 = r19147 * r19148;
        float r19150 = r19146 - r19149;
        return r19150;
}

double f_od(double wj, double x) {
        double r19151 = wj;
        double r19152 = r19151 * r19151;
        double r19153 = x;
        double r19154 = r19152 + r19153;
        double r19155 = 2.0;
        double r19156 = r19151 * r19153;
        double r19157 = r19155 * r19156;
        double r19158 = r19154 - r19157;
        return r19158;
}

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 r19159, r19160, r19161, r19162, r19163, r19164, r19165, r19166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19159);
        mpfr_init(r19160);
        mpfr_init(r19161);
        mpfr_init(r19162);
        mpfr_init(r19163);
        mpfr_init(r19164);
        mpfr_init(r19165);
        mpfr_init(r19166);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19159, wj, MPFR_RNDN);
        mpfr_exp(r19160, r19159, MPFR_RNDN);
        mpfr_mul(r19161, r19159, r19160, MPFR_RNDN);
        mpfr_set_d(r19162, x, MPFR_RNDN);
        mpfr_sub(r19163, r19161, r19162, MPFR_RNDN);
        mpfr_add(r19164, r19160, r19161, MPFR_RNDN);
        mpfr_div(r19165, r19163, r19164, MPFR_RNDN);
        mpfr_sub(r19166, r19159, r19165, MPFR_RNDN);
        return mpfr_get_d(r19166, MPFR_RNDN);
}

static mpfr_t r19167, r19168, r19169, r19170, r19171, r19172, r19173, r19174;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19167);
        mpfr_init(r19168);
        mpfr_init(r19169);
        mpfr_init(r19170);
        mpfr_init_set_str(r19171, "2", 10, MPFR_RNDN);
        mpfr_init(r19172);
        mpfr_init(r19173);
        mpfr_init(r19174);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19167, wj, MPFR_RNDN);
        mpfr_sqr(r19168, r19167, MPFR_RNDN);
        mpfr_set_d(r19169, x, MPFR_RNDN);
        mpfr_add(r19170, r19168, r19169, MPFR_RNDN);
        ;
        mpfr_mul(r19172, r19167, r19169, MPFR_RNDN);
        mpfr_mul(r19173, r19171, r19172, MPFR_RNDN);
        mpfr_sub(r19174, r19170, r19173, MPFR_RNDN);
        return mpfr_get_d(r19174, MPFR_RNDN);
}

static mpfr_t r19175, r19176, r19177, r19178, r19179, r19180, r19181, r19182;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19175);
        mpfr_init(r19176);
        mpfr_init(r19177);
        mpfr_init(r19178);
        mpfr_init_set_str(r19179, "2", 10, MPFR_RNDN);
        mpfr_init(r19180);
        mpfr_init(r19181);
        mpfr_init(r19182);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19175, wj, MPFR_RNDN);
        mpfr_sqr(r19176, r19175, MPFR_RNDN);
        mpfr_set_d(r19177, x, MPFR_RNDN);
        mpfr_add(r19178, r19176, r19177, MPFR_RNDN);
        ;
        mpfr_mul(r19180, r19175, r19177, MPFR_RNDN);
        mpfr_mul(r19181, r19179, r19180, MPFR_RNDN);
        mpfr_sub(r19182, r19178, r19181, MPFR_RNDN);
        return mpfr_get_d(r19182, MPFR_RNDN);
}