#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 r19159 = wj;
        float r19160 = exp(r19159);
        float r19161 = r19159 * r19160;
        float r19162 = x;
        float r19163 = r19161 - r19162;
        float r19164 = r19160 + r19161;
        float r19165 = r19163 / r19164;
        float r19166 = r19159 - r19165;
        return r19166;
}

double f_id(double wj, double x) {
        double r19167 = wj;
        double r19168 = exp(r19167);
        double r19169 = r19167 * r19168;
        double r19170 = x;
        double r19171 = r19169 - r19170;
        double r19172 = r19168 + r19169;
        double r19173 = r19171 / r19172;
        double r19174 = r19167 - r19173;
        return r19174;
}


double f_of(float wj, float x) {
        float r19175 = wj;
        float r19176 = 4.0f;
        float r19177 = pow(r19175, r19176);
        float r19178 = r19175 * r19175;
        float r19179 = r19175 * (r19175 * r19175);
        float r19180 = r19178 - r19179;
        float r19181 = r19177 + r19180;
        float r19182 = x;
        float r19183 = 1.0f;
        float r19184 = r19183 + r19175;
        float r19185 = exp(r19175);
        float r19186 = r19184 * r19185;
        float r19187 = r19182 / r19186;
        float r19188 = r19181 + r19187;
        return r19188;
}

double f_od(double wj, double x) {
        double r19189 = wj;
        double r19190 = 4.0;
        double r19191 = pow(r19189, r19190);
        double r19192 = r19189 * r19189;
        double r19193 = r19189 * (r19189 * r19189);
        double r19194 = r19192 - r19193;
        double r19195 = r19191 + r19194;
        double r19196 = x;
        double r19197 = 1.0;
        double r19198 = r19197 + r19189;
        double r19199 = exp(r19189);
        double r19200 = r19198 * r19199;
        double r19201 = r19196 / r19200;
        double r19202 = r19195 + 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, r19219, r19220, r19221, r19222, r19223, r19224;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19211);
        mpfr_init_set_str(r19212, "4", 10, MPFR_RNDN);
        mpfr_init(r19213);
        mpfr_init(r19214);
        mpfr_init(r19215);
        mpfr_init(r19216);
        mpfr_init(r19217);
        mpfr_init(r19218);
        mpfr_init_set_str(r19219, "1", 10, MPFR_RNDN);
        mpfr_init(r19220);
        mpfr_init(r19221);
        mpfr_init(r19222);
        mpfr_init(r19223);
        mpfr_init(r19224);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19211, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19213, r19211, r19212, MPFR_RNDN);
        mpfr_sqr(r19214, r19211, MPFR_RNDN);
        mpfr_mul(r19215, r19211, r19211, MPFR_RNDN); mpfr_mul(r19215, r19215, r19211, MPFR_RNDN);
        mpfr_sub(r19216, r19214, r19215, MPFR_RNDN);
        mpfr_add(r19217, r19213, r19216, MPFR_RNDN);
        mpfr_set_d(r19218, x, MPFR_RNDN);
        ;
        mpfr_add(r19220, r19219, r19211, MPFR_RNDN);
        mpfr_exp(r19221, r19211, MPFR_RNDN);
        mpfr_mul(r19222, r19220, r19221, MPFR_RNDN);
        mpfr_div(r19223, r19218, r19222, MPFR_RNDN);
        mpfr_add(r19224, r19217, r19223, MPFR_RNDN);
        return mpfr_get_d(r19224, MPFR_RNDN);
}

static mpfr_t r19225, r19226, r19227, r19228, r19229, r19230, r19231, r19232, r19233, r19234, r19235, r19236, r19237, r19238;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19225);
        mpfr_init_set_str(r19226, "4", 10, MPFR_RNDN);
        mpfr_init(r19227);
        mpfr_init(r19228);
        mpfr_init(r19229);
        mpfr_init(r19230);
        mpfr_init(r19231);
        mpfr_init(r19232);
        mpfr_init_set_str(r19233, "1", 10, MPFR_RNDN);
        mpfr_init(r19234);
        mpfr_init(r19235);
        mpfr_init(r19236);
        mpfr_init(r19237);
        mpfr_init(r19238);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19225, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19227, r19225, r19226, MPFR_RNDN);
        mpfr_sqr(r19228, r19225, MPFR_RNDN);
        mpfr_mul(r19229, r19225, r19225, MPFR_RNDN); mpfr_mul(r19229, r19229, r19225, MPFR_RNDN);
        mpfr_sub(r19230, r19228, r19229, MPFR_RNDN);
        mpfr_add(r19231, r19227, r19230, MPFR_RNDN);
        mpfr_set_d(r19232, x, MPFR_RNDN);
        ;
        mpfr_add(r19234, r19233, r19225, MPFR_RNDN);
        mpfr_exp(r19235, r19225, MPFR_RNDN);
        mpfr_mul(r19236, r19234, r19235, MPFR_RNDN);
        mpfr_div(r19237, r19232, r19236, MPFR_RNDN);
        mpfr_add(r19238, r19231, r19237, MPFR_RNDN);
        return mpfr_get_d(r19238, MPFR_RNDN);
}