#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 r19151 = wj;
        float r19152 = exp(r19151);
        float r19153 = r19151 * r19152;
        float r19154 = x;
        float r19155 = r19153 - r19154;
        float r19156 = r19152 + r19153;
        float r19157 = r19155 / r19156;
        float r19158 = r19151 - r19157;
        return r19158;
}

double f_id(double wj, double x) {
        double r19159 = wj;
        double r19160 = exp(r19159);
        double r19161 = r19159 * r19160;
        double r19162 = x;
        double r19163 = r19161 - r19162;
        double r19164 = r19160 + r19161;
        double r19165 = r19163 / r19164;
        double r19166 = r19159 - r19165;
        return r19166;
}


double f_of(float wj, float x) {
        float r19167 = wj;
        float r19168 = 4.0f;
        float r19169 = pow(r19167, r19168);
        float r19170 = r19167 * r19167;
        float r19171 = r19167 * (r19167 * r19167);
        float r19172 = r19170 - r19171;
        float r19173 = r19169 + r19172;
        float r19174 = x;
        float r19175 = 1.0f;
        float r19176 = r19175 + r19167;
        float r19177 = exp(r19167);
        float r19178 = r19176 * r19177;
        float r19179 = r19174 / r19178;
        float r19180 = r19173 + r19179;
        return r19180;
}

double f_od(double wj, double x) {
        double r19181 = wj;
        double r19182 = 4.0;
        double r19183 = pow(r19181, r19182);
        double r19184 = r19181 * r19181;
        double r19185 = r19181 * (r19181 * r19181);
        double r19186 = r19184 - r19185;
        double r19187 = r19183 + r19186;
        double r19188 = x;
        double r19189 = 1.0;
        double r19190 = r19189 + r19181;
        double r19191 = exp(r19181);
        double r19192 = r19190 * r19191;
        double r19193 = r19188 / r19192;
        double r19194 = r19187 + r19193;
        return r19194;
}

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 r19195, r19196, r19197, r19198, r19199, r19200, r19201, r19202;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19195);
        mpfr_init(r19196);
        mpfr_init(r19197);
        mpfr_init(r19198);
        mpfr_init(r19199);
        mpfr_init(r19200);
        mpfr_init(r19201);
        mpfr_init(r19202);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19195, wj, MPFR_RNDN);
        mpfr_exp(r19196, r19195, MPFR_RNDN);
        mpfr_mul(r19197, r19195, r19196, MPFR_RNDN);
        mpfr_set_d(r19198, x, MPFR_RNDN);
        mpfr_sub(r19199, r19197, r19198, MPFR_RNDN);
        mpfr_add(r19200, r19196, r19197, MPFR_RNDN);
        mpfr_div(r19201, r19199, r19200, MPFR_RNDN);
        mpfr_sub(r19202, r19195, r19201, MPFR_RNDN);
        return mpfr_get_d(r19202, MPFR_RNDN);
}

static mpfr_t r19203, r19204, r19205, r19206, r19207, r19208, r19209, r19210, r19211, r19212, r19213, r19214, r19215, r19216;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19203);
        mpfr_init_set_str(r19204, "4", 10, MPFR_RNDN);
        mpfr_init(r19205);
        mpfr_init(r19206);
        mpfr_init(r19207);
        mpfr_init(r19208);
        mpfr_init(r19209);
        mpfr_init(r19210);
        mpfr_init_set_str(r19211, "1", 10, MPFR_RNDN);
        mpfr_init(r19212);
        mpfr_init(r19213);
        mpfr_init(r19214);
        mpfr_init(r19215);
        mpfr_init(r19216);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19203, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19205, r19203, r19204, MPFR_RNDN);
        mpfr_sqr(r19206, r19203, MPFR_RNDN);
        mpfr_mul(r19207, r19203, r19203, MPFR_RNDN); mpfr_mul(r19207, r19207, r19203, MPFR_RNDN);
        mpfr_sub(r19208, r19206, r19207, MPFR_RNDN);
        mpfr_add(r19209, r19205, r19208, MPFR_RNDN);
        mpfr_set_d(r19210, x, MPFR_RNDN);
        ;
        mpfr_add(r19212, r19211, r19203, MPFR_RNDN);
        mpfr_exp(r19213, r19203, MPFR_RNDN);
        mpfr_mul(r19214, r19212, r19213, MPFR_RNDN);
        mpfr_div(r19215, r19210, r19214, MPFR_RNDN);
        mpfr_add(r19216, r19209, r19215, MPFR_RNDN);
        return mpfr_get_d(r19216, MPFR_RNDN);
}

static mpfr_t r19217, r19218, r19219, r19220, r19221, r19222, r19223, r19224, r19225, r19226, r19227, r19228, r19229, r19230;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19217);
        mpfr_init_set_str(r19218, "4", 10, MPFR_RNDN);
        mpfr_init(r19219);
        mpfr_init(r19220);
        mpfr_init(r19221);
        mpfr_init(r19222);
        mpfr_init(r19223);
        mpfr_init(r19224);
        mpfr_init_set_str(r19225, "1", 10, MPFR_RNDN);
        mpfr_init(r19226);
        mpfr_init(r19227);
        mpfr_init(r19228);
        mpfr_init(r19229);
        mpfr_init(r19230);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19217, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19219, r19217, r19218, MPFR_RNDN);
        mpfr_sqr(r19220, r19217, MPFR_RNDN);
        mpfr_mul(r19221, r19217, r19217, MPFR_RNDN); mpfr_mul(r19221, r19221, r19217, MPFR_RNDN);
        mpfr_sub(r19222, r19220, r19221, MPFR_RNDN);
        mpfr_add(r19223, r19219, r19222, MPFR_RNDN);
        mpfr_set_d(r19224, x, MPFR_RNDN);
        ;
        mpfr_add(r19226, r19225, r19217, MPFR_RNDN);
        mpfr_exp(r19227, r19217, MPFR_RNDN);
        mpfr_mul(r19228, r19226, r19227, MPFR_RNDN);
        mpfr_div(r19229, r19224, r19228, MPFR_RNDN);
        mpfr_add(r19230, r19223, r19229, MPFR_RNDN);
        return mpfr_get_d(r19230, MPFR_RNDN);
}