#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 r19167 = wj;
        float r19168 = exp(r19167);
        float r19169 = r19167 * r19168;
        float r19170 = x;
        float r19171 = r19169 - r19170;
        float r19172 = r19168 + r19169;
        float r19173 = r19171 / r19172;
        float r19174 = r19167 - r19173;
        return r19174;
}

double f_id(double wj, double x) {
        double r19175 = wj;
        double r19176 = exp(r19175);
        double r19177 = r19175 * r19176;
        double r19178 = x;
        double r19179 = r19177 - r19178;
        double r19180 = r19176 + r19177;
        double r19181 = r19179 / r19180;
        double r19182 = r19175 - r19181;
        return r19182;
}


double f_of(float wj, float x) {
        float r19183 = wj;
        float r19184 = r19183 * r19183;
        float r19185 = x;
        float r19186 = r19184 + r19185;
        float r19187 = 2.0f;
        float r19188 = r19183 * r19185;
        float r19189 = r19187 * r19188;
        float r19190 = r19186 - r19189;
        return r19190;
}

double f_od(double wj, double x) {
        double r19191 = wj;
        double r19192 = r19191 * r19191;
        double r19193 = x;
        double r19194 = r19192 + r19193;
        double r19195 = 2.0;
        double r19196 = r19191 * r19193;
        double r19197 = r19195 * r19196;
        double r19198 = r19194 - r19197;
        return r19198;
}

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 r19199, r19200, r19201, r19202, r19203, r19204, r19205, r19206;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19199);
        mpfr_init(r19200);
        mpfr_init(r19201);
        mpfr_init(r19202);
        mpfr_init(r19203);
        mpfr_init(r19204);
        mpfr_init(r19205);
        mpfr_init(r19206);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19199, wj, MPFR_RNDN);
        mpfr_exp(r19200, r19199, MPFR_RNDN);
        mpfr_mul(r19201, r19199, r19200, MPFR_RNDN);
        mpfr_set_d(r19202, x, MPFR_RNDN);
        mpfr_sub(r19203, r19201, r19202, MPFR_RNDN);
        mpfr_add(r19204, r19200, r19201, MPFR_RNDN);
        mpfr_div(r19205, r19203, r19204, MPFR_RNDN);
        mpfr_sub(r19206, r19199, r19205, MPFR_RNDN);
        return mpfr_get_d(r19206, MPFR_RNDN);
}

static mpfr_t r19207, r19208, r19209, r19210, r19211, r19212, r19213, r19214;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19207);
        mpfr_init(r19208);
        mpfr_init(r19209);
        mpfr_init(r19210);
        mpfr_init_set_str(r19211, "2", 10, MPFR_RNDN);
        mpfr_init(r19212);
        mpfr_init(r19213);
        mpfr_init(r19214);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19207, wj, MPFR_RNDN);
        mpfr_sqr(r19208, r19207, MPFR_RNDN);
        mpfr_set_d(r19209, x, MPFR_RNDN);
        mpfr_add(r19210, r19208, r19209, MPFR_RNDN);
        ;
        mpfr_mul(r19212, r19207, r19209, MPFR_RNDN);
        mpfr_mul(r19213, r19211, r19212, MPFR_RNDN);
        mpfr_sub(r19214, r19210, r19213, MPFR_RNDN);
        return mpfr_get_d(r19214, MPFR_RNDN);
}

static mpfr_t r19215, r19216, r19217, r19218, r19219, r19220, r19221, r19222;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19215);
        mpfr_init(r19216);
        mpfr_init(r19217);
        mpfr_init(r19218);
        mpfr_init_set_str(r19219, "2", 10, MPFR_RNDN);
        mpfr_init(r19220);
        mpfr_init(r19221);
        mpfr_init(r19222);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19215, wj, MPFR_RNDN);
        mpfr_sqr(r19216, r19215, MPFR_RNDN);
        mpfr_set_d(r19217, x, MPFR_RNDN);
        mpfr_add(r19218, r19216, r19217, MPFR_RNDN);
        ;
        mpfr_mul(r19220, r19215, r19217, MPFR_RNDN);
        mpfr_mul(r19221, r19219, r19220, MPFR_RNDN);
        mpfr_sub(r19222, r19218, r19221, MPFR_RNDN);
        return mpfr_get_d(r19222, MPFR_RNDN);
}