#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 r20143 = wj;
        float r20144 = exp(r20143);
        float r20145 = r20143 * r20144;
        float r20146 = x;
        float r20147 = r20145 - r20146;
        float r20148 = r20144 + r20145;
        float r20149 = r20147 / r20148;
        float r20150 = r20143 - r20149;
        return r20150;
}

double f_id(double wj, double x) {
        double r20151 = wj;
        double r20152 = exp(r20151);
        double r20153 = r20151 * r20152;
        double r20154 = x;
        double r20155 = r20153 - r20154;
        double r20156 = r20152 + r20153;
        double r20157 = r20155 / r20156;
        double r20158 = r20151 - r20157;
        return r20158;
}


double f_of(float wj, float x) {
        float r20159 = wj;
        float r20160 = 4.0f;
        float r20161 = pow(r20159, r20160);
        float r20162 = r20159 * r20159;
        float r20163 = r20159 * (r20159 * r20159);
        float r20164 = r20162 - r20163;
        float r20165 = r20161 + r20164;
        float r20166 = x;
        float r20167 = exp(r20159);
        float r20168 = 1.0f;
        float r20169 = r20168 + r20159;
        float r20170 = r20167 * r20169;
        float r20171 = r20166 / r20170;
        float r20172 = r20165 + r20171;
        return r20172;
}

double f_od(double wj, double x) {
        double r20173 = wj;
        double r20174 = 4.0;
        double r20175 = pow(r20173, r20174);
        double r20176 = r20173 * r20173;
        double r20177 = r20173 * (r20173 * r20173);
        double r20178 = r20176 - r20177;
        double r20179 = r20175 + r20178;
        double r20180 = x;
        double r20181 = exp(r20173);
        double r20182 = 1.0;
        double r20183 = r20182 + r20173;
        double r20184 = r20181 * r20183;
        double r20185 = r20180 / r20184;
        double r20186 = r20179 + r20185;
        return r20186;
}

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 r20187, r20188, r20189, r20190, r20191, r20192, r20193, r20194;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20187);
        mpfr_init(r20188);
        mpfr_init(r20189);
        mpfr_init(r20190);
        mpfr_init(r20191);
        mpfr_init(r20192);
        mpfr_init(r20193);
        mpfr_init(r20194);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20187, wj, MPFR_RNDN);
        mpfr_exp(r20188, r20187, MPFR_RNDN);
        mpfr_mul(r20189, r20187, r20188, MPFR_RNDN);
        mpfr_set_d(r20190, x, MPFR_RNDN);
        mpfr_sub(r20191, r20189, r20190, MPFR_RNDN);
        mpfr_add(r20192, r20188, r20189, MPFR_RNDN);
        mpfr_div(r20193, r20191, r20192, MPFR_RNDN);
        mpfr_sub(r20194, r20187, r20193, MPFR_RNDN);
        return mpfr_get_d(r20194, MPFR_RNDN);
}

static mpfr_t r20195, r20196, r20197, r20198, r20199, r20200, r20201, r20202, r20203, r20204, r20205, r20206, r20207, r20208;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20195);
        mpfr_init_set_str(r20196, "4", 10, MPFR_RNDN);
        mpfr_init(r20197);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init(r20200);
        mpfr_init(r20201);
        mpfr_init(r20202);
        mpfr_init(r20203);
        mpfr_init_set_str(r20204, "1", 10, MPFR_RNDN);
        mpfr_init(r20205);
        mpfr_init(r20206);
        mpfr_init(r20207);
        mpfr_init(r20208);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20195, wj, MPFR_RNDN);
        ;
        mpfr_pow(r20197, r20195, r20196, MPFR_RNDN);
        mpfr_sqr(r20198, r20195, MPFR_RNDN);
        mpfr_mul(r20199, r20195, r20195, MPFR_RNDN); mpfr_mul(r20199, r20199, r20195, MPFR_RNDN);
        mpfr_sub(r20200, r20198, r20199, MPFR_RNDN);
        mpfr_add(r20201, r20197, r20200, MPFR_RNDN);
        mpfr_set_d(r20202, x, MPFR_RNDN);
        mpfr_exp(r20203, r20195, MPFR_RNDN);
        ;
        mpfr_add(r20205, r20204, r20195, MPFR_RNDN);
        mpfr_mul(r20206, r20203, r20205, MPFR_RNDN);
        mpfr_div(r20207, r20202, r20206, MPFR_RNDN);
        mpfr_add(r20208, r20201, r20207, MPFR_RNDN);
        return mpfr_get_d(r20208, MPFR_RNDN);
}

static mpfr_t r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216, r20217, r20218, r20219, r20220, r20221, r20222;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20209);
        mpfr_init_set_str(r20210, "4", 10, MPFR_RNDN);
        mpfr_init(r20211);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init(r20216);
        mpfr_init(r20217);
        mpfr_init_set_str(r20218, "1", 10, MPFR_RNDN);
        mpfr_init(r20219);
        mpfr_init(r20220);
        mpfr_init(r20221);
        mpfr_init(r20222);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20209, wj, MPFR_RNDN);
        ;
        mpfr_pow(r20211, r20209, r20210, MPFR_RNDN);
        mpfr_sqr(r20212, r20209, MPFR_RNDN);
        mpfr_mul(r20213, r20209, r20209, MPFR_RNDN); mpfr_mul(r20213, r20213, r20209, MPFR_RNDN);
        mpfr_sub(r20214, r20212, r20213, MPFR_RNDN);
        mpfr_add(r20215, r20211, r20214, MPFR_RNDN);
        mpfr_set_d(r20216, x, MPFR_RNDN);
        mpfr_exp(r20217, r20209, MPFR_RNDN);
        ;
        mpfr_add(r20219, r20218, r20209, MPFR_RNDN);
        mpfr_mul(r20220, r20217, r20219, MPFR_RNDN);
        mpfr_div(r20221, r20216, r20220, MPFR_RNDN);
        mpfr_add(r20222, r20215, r20221, MPFR_RNDN);
        return mpfr_get_d(r20222, MPFR_RNDN);
}