#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 r19059 = wj;
        float r19060 = exp(r19059);
        float r19061 = r19059 * r19060;
        float r19062 = x;
        float r19063 = r19061 - r19062;
        float r19064 = r19060 + r19061;
        float r19065 = r19063 / r19064;
        float r19066 = r19059 - r19065;
        return r19066;
}

double f_id(double wj, double x) {
        double r19067 = wj;
        double r19068 = exp(r19067);
        double r19069 = r19067 * r19068;
        double r19070 = x;
        double r19071 = r19069 - r19070;
        double r19072 = r19068 + r19069;
        double r19073 = r19071 / r19072;
        double r19074 = r19067 - r19073;
        return r19074;
}


double f_of(float wj, float x) {
        float r19075 = wj;
        float r19076 = 4.0f;
        float r19077 = pow(r19075, r19076);
        float r19078 = r19075 * r19075;
        float r19079 = r19075 * (r19075 * r19075);
        float r19080 = r19078 - r19079;
        float r19081 = r19077 + r19080;
        float r19082 = x;
        float r19083 = 1.0f;
        float r19084 = r19083 + r19075;
        float r19085 = exp(r19075);
        float r19086 = r19084 * r19085;
        float r19087 = r19082 / r19086;
        float r19088 = r19081 + r19087;
        return r19088;
}

double f_od(double wj, double x) {
        double r19089 = wj;
        double r19090 = 4.0;
        double r19091 = pow(r19089, r19090);
        double r19092 = r19089 * r19089;
        double r19093 = r19089 * (r19089 * r19089);
        double r19094 = r19092 - r19093;
        double r19095 = r19091 + r19094;
        double r19096 = x;
        double r19097 = 1.0;
        double r19098 = r19097 + r19089;
        double r19099 = exp(r19089);
        double r19100 = r19098 * r19099;
        double r19101 = r19096 / r19100;
        double r19102 = r19095 + r19101;
        return r19102;
}

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 r19103, r19104, r19105, r19106, r19107, r19108, r19109, r19110;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19103);
        mpfr_init(r19104);
        mpfr_init(r19105);
        mpfr_init(r19106);
        mpfr_init(r19107);
        mpfr_init(r19108);
        mpfr_init(r19109);
        mpfr_init(r19110);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19103, wj, MPFR_RNDN);
        mpfr_exp(r19104, r19103, MPFR_RNDN);
        mpfr_mul(r19105, r19103, r19104, MPFR_RNDN);
        mpfr_set_d(r19106, x, MPFR_RNDN);
        mpfr_sub(r19107, r19105, r19106, MPFR_RNDN);
        mpfr_add(r19108, r19104, r19105, MPFR_RNDN);
        mpfr_div(r19109, r19107, r19108, MPFR_RNDN);
        mpfr_sub(r19110, r19103, r19109, MPFR_RNDN);
        return mpfr_get_d(r19110, MPFR_RNDN);
}

static mpfr_t r19111, r19112, r19113, r19114, r19115, r19116, r19117, r19118, r19119, r19120, r19121, r19122, r19123, r19124;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19111);
        mpfr_init_set_str(r19112, "4", 10, MPFR_RNDN);
        mpfr_init(r19113);
        mpfr_init(r19114);
        mpfr_init(r19115);
        mpfr_init(r19116);
        mpfr_init(r19117);
        mpfr_init(r19118);
        mpfr_init_set_str(r19119, "1", 10, MPFR_RNDN);
        mpfr_init(r19120);
        mpfr_init(r19121);
        mpfr_init(r19122);
        mpfr_init(r19123);
        mpfr_init(r19124);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19111, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19113, r19111, r19112, MPFR_RNDN);
        mpfr_sqr(r19114, r19111, MPFR_RNDN);
        mpfr_mul(r19115, r19111, r19111, MPFR_RNDN); mpfr_mul(r19115, r19115, r19111, MPFR_RNDN);
        mpfr_sub(r19116, r19114, r19115, MPFR_RNDN);
        mpfr_add(r19117, r19113, r19116, MPFR_RNDN);
        mpfr_set_d(r19118, x, MPFR_RNDN);
        ;
        mpfr_add(r19120, r19119, r19111, MPFR_RNDN);
        mpfr_exp(r19121, r19111, MPFR_RNDN);
        mpfr_mul(r19122, r19120, r19121, MPFR_RNDN);
        mpfr_div(r19123, r19118, r19122, MPFR_RNDN);
        mpfr_add(r19124, r19117, r19123, MPFR_RNDN);
        return mpfr_get_d(r19124, MPFR_RNDN);
}

static mpfr_t r19125, r19126, r19127, r19128, r19129, r19130, r19131, r19132, r19133, r19134, r19135, r19136, r19137, r19138;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19125);
        mpfr_init_set_str(r19126, "4", 10, MPFR_RNDN);
        mpfr_init(r19127);
        mpfr_init(r19128);
        mpfr_init(r19129);
        mpfr_init(r19130);
        mpfr_init(r19131);
        mpfr_init(r19132);
        mpfr_init_set_str(r19133, "1", 10, MPFR_RNDN);
        mpfr_init(r19134);
        mpfr_init(r19135);
        mpfr_init(r19136);
        mpfr_init(r19137);
        mpfr_init(r19138);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19125, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19127, r19125, r19126, MPFR_RNDN);
        mpfr_sqr(r19128, r19125, MPFR_RNDN);
        mpfr_mul(r19129, r19125, r19125, MPFR_RNDN); mpfr_mul(r19129, r19129, r19125, MPFR_RNDN);
        mpfr_sub(r19130, r19128, r19129, MPFR_RNDN);
        mpfr_add(r19131, r19127, r19130, MPFR_RNDN);
        mpfr_set_d(r19132, x, MPFR_RNDN);
        ;
        mpfr_add(r19134, r19133, r19125, MPFR_RNDN);
        mpfr_exp(r19135, r19125, MPFR_RNDN);
        mpfr_mul(r19136, r19134, r19135, MPFR_RNDN);
        mpfr_div(r19137, r19132, r19136, MPFR_RNDN);
        mpfr_add(r19138, r19131, r19137, MPFR_RNDN);
        return mpfr_get_d(r19138, MPFR_RNDN);
}