#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 r19171 = wj;
        float r19172 = exp(r19171);
        float r19173 = r19171 * r19172;
        float r19174 = x;
        float r19175 = r19173 - r19174;
        float r19176 = r19172 + r19173;
        float r19177 = r19175 / r19176;
        float r19178 = r19171 - r19177;
        return r19178;
}

double f_id(double wj, double x) {
        double r19179 = wj;
        double r19180 = exp(r19179);
        double r19181 = r19179 * r19180;
        double r19182 = x;
        double r19183 = r19181 - r19182;
        double r19184 = r19180 + r19181;
        double r19185 = r19183 / r19184;
        double r19186 = r19179 - r19185;
        return r19186;
}


double f_of(float wj, float x) {
        float r19187 = wj;
        float r19188 = r19187 * r19187;
        float r19189 = x;
        float r19190 = r19188 + r19189;
        float r19191 = 2.0f;
        float r19192 = r19187 * r19189;
        float r19193 = r19191 * r19192;
        float r19194 = r19190 - r19193;
        return r19194;
}

double f_od(double wj, double x) {
        double r19195 = wj;
        double r19196 = r19195 * r19195;
        double r19197 = x;
        double r19198 = r19196 + r19197;
        double r19199 = 2.0;
        double r19200 = r19195 * r19197;
        double r19201 = r19199 * r19200;
        double r19202 = r19198 - r19201;
        return r19202;
}

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 r19203, r19204, r19205, r19206, r19207, r19208, r19209, r19210;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19203);
        mpfr_init(r19204);
        mpfr_init(r19205);
        mpfr_init(r19206);
        mpfr_init(r19207);
        mpfr_init(r19208);
        mpfr_init(r19209);
        mpfr_init(r19210);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19203, wj, MPFR_RNDN);
        mpfr_exp(r19204, r19203, MPFR_RNDN);
        mpfr_mul(r19205, r19203, r19204, MPFR_RNDN);
        mpfr_set_d(r19206, x, MPFR_RNDN);
        mpfr_sub(r19207, r19205, r19206, MPFR_RNDN);
        mpfr_add(r19208, r19204, r19205, MPFR_RNDN);
        mpfr_div(r19209, r19207, r19208, MPFR_RNDN);
        mpfr_sub(r19210, r19203, r19209, MPFR_RNDN);
        return mpfr_get_d(r19210, MPFR_RNDN);
}

static mpfr_t r19211, r19212, r19213, r19214, r19215, r19216, r19217, r19218;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19211);
        mpfr_init(r19212);
        mpfr_init(r19213);
        mpfr_init(r19214);
        mpfr_init_set_str(r19215, "2", 10, MPFR_RNDN);
        mpfr_init(r19216);
        mpfr_init(r19217);
        mpfr_init(r19218);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19211, wj, MPFR_RNDN);
        mpfr_sqr(r19212, r19211, MPFR_RNDN);
        mpfr_set_d(r19213, x, MPFR_RNDN);
        mpfr_add(r19214, r19212, r19213, MPFR_RNDN);
        ;
        mpfr_mul(r19216, r19211, r19213, MPFR_RNDN);
        mpfr_mul(r19217, r19215, r19216, MPFR_RNDN);
        mpfr_sub(r19218, r19214, r19217, MPFR_RNDN);
        return mpfr_get_d(r19218, MPFR_RNDN);
}

static mpfr_t r19219, r19220, r19221, r19222, r19223, r19224, r19225, r19226;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19219);
        mpfr_init(r19220);
        mpfr_init(r19221);
        mpfr_init(r19222);
        mpfr_init_set_str(r19223, "2", 10, MPFR_RNDN);
        mpfr_init(r19224);
        mpfr_init(r19225);
        mpfr_init(r19226);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19219, wj, MPFR_RNDN);
        mpfr_sqr(r19220, r19219, MPFR_RNDN);
        mpfr_set_d(r19221, x, MPFR_RNDN);
        mpfr_add(r19222, r19220, r19221, MPFR_RNDN);
        ;
        mpfr_mul(r19224, r19219, r19221, MPFR_RNDN);
        mpfr_mul(r19225, r19223, r19224, MPFR_RNDN);
        mpfr_sub(r19226, r19222, r19225, MPFR_RNDN);
        return mpfr_get_d(r19226, MPFR_RNDN);
}