#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 r19999 = wj;
        float r20000 = exp(r19999);
        float r20001 = r19999 * r20000;
        float r20002 = x;
        float r20003 = r20001 - r20002;
        float r20004 = r20000 + r20001;
        float r20005 = r20003 / r20004;
        float r20006 = r19999 - r20005;
        return r20006;
}

double f_id(double wj, double x) {
        double r20007 = wj;
        double r20008 = exp(r20007);
        double r20009 = r20007 * r20008;
        double r20010 = x;
        double r20011 = r20009 - r20010;
        double r20012 = r20008 + r20009;
        double r20013 = r20011 / r20012;
        double r20014 = r20007 - r20013;
        return r20014;
}


double f_of(float wj, float x) {
        float r20015 = wj;
        float r20016 = 4.117893899060259e-06f;
        bool r20017 = r20015 <= r20016;
        float r20018 = r20015 * r20015;
        float r20019 = r20015 * (r20015 * r20015);
        float r20020 = r20018 - r20019;
        float r20021 = x;
        float r20022 = 1.0f;
        float r20023 = r20015 + r20022;
        float r20024 = exp(r20015);
        float r20025 = r20023 * r20024;
        float r20026 = r20021 / r20025;
        float r20027 = r20020 + r20026;
        float r20028 = r20015 / r20023;
        float r20029 = r20022 + r20015;
        float r20030 = r20021 / r20029;
        float r20031 = r20030 / r20024;
        float r20032 = r20028 - r20031;
        float r20033 = r20015 - r20032;
        float r20034 = r20017 ? r20027 : r20033;
        return r20034;
}

double f_od(double wj, double x) {
        double r20035 = wj;
        double r20036 = 4.117893899060259e-06;
        bool r20037 = r20035 <= r20036;
        double r20038 = r20035 * r20035;
        double r20039 = r20035 * (r20035 * r20035);
        double r20040 = r20038 - r20039;
        double r20041 = x;
        double r20042 = 1.0;
        double r20043 = r20035 + r20042;
        double r20044 = exp(r20035);
        double r20045 = r20043 * r20044;
        double r20046 = r20041 / r20045;
        double r20047 = r20040 + r20046;
        double r20048 = r20035 / r20043;
        double r20049 = r20042 + r20035;
        double r20050 = r20041 / r20049;
        double r20051 = r20050 / r20044;
        double r20052 = r20048 - r20051;
        double r20053 = r20035 - r20052;
        double r20054 = r20037 ? r20047 : r20053;
        return r20054;
}

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 r20055, r20056, r20057, r20058, r20059, r20060, r20061, r20062;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20055);
        mpfr_init(r20056);
        mpfr_init(r20057);
        mpfr_init(r20058);
        mpfr_init(r20059);
        mpfr_init(r20060);
        mpfr_init(r20061);
        mpfr_init(r20062);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20055, wj, MPFR_RNDN);
        mpfr_exp(r20056, r20055, MPFR_RNDN);
        mpfr_mul(r20057, r20055, r20056, MPFR_RNDN);
        mpfr_set_d(r20058, x, MPFR_RNDN);
        mpfr_sub(r20059, r20057, r20058, MPFR_RNDN);
        mpfr_add(r20060, r20056, r20057, MPFR_RNDN);
        mpfr_div(r20061, r20059, r20060, MPFR_RNDN);
        mpfr_sub(r20062, r20055, r20061, MPFR_RNDN);
        return mpfr_get_d(r20062, MPFR_RNDN);
}

static mpfr_t r20063, r20064, r20065, r20066, r20067, r20068, r20069, r20070, r20071, r20072, r20073, r20074, r20075, r20076, r20077, r20078, r20079, r20080, r20081, r20082;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20063);
        mpfr_init_set_str(r20064, "4.117893899060259e-06", 10, MPFR_RNDN);
        mpfr_init(r20065);
        mpfr_init(r20066);
        mpfr_init(r20067);
        mpfr_init(r20068);
        mpfr_init(r20069);
        mpfr_init_set_str(r20070, "1", 10, MPFR_RNDN);
        mpfr_init(r20071);
        mpfr_init(r20072);
        mpfr_init(r20073);
        mpfr_init(r20074);
        mpfr_init(r20075);
        mpfr_init(r20076);
        mpfr_init(r20077);
        mpfr_init(r20078);
        mpfr_init(r20079);
        mpfr_init(r20080);
        mpfr_init(r20081);
        mpfr_init(r20082);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20063, wj, MPFR_RNDN);
        ;
        mpfr_set_si(r20065, mpfr_cmp(r20063, r20064) <= 0, MPFR_RNDN);
        mpfr_sqr(r20066, r20063, MPFR_RNDN);
        mpfr_mul(r20067, r20063, r20063, MPFR_RNDN); mpfr_mul(r20067, r20067, r20063, MPFR_RNDN);
        mpfr_sub(r20068, r20066, r20067, MPFR_RNDN);
        mpfr_set_d(r20069, x, MPFR_RNDN);
        ;
        mpfr_add(r20071, r20063, r20070, MPFR_RNDN);
        mpfr_exp(r20072, r20063, MPFR_RNDN);
        mpfr_mul(r20073, r20071, r20072, MPFR_RNDN);
        mpfr_div(r20074, r20069, r20073, MPFR_RNDN);
        mpfr_add(r20075, r20068, r20074, MPFR_RNDN);
        mpfr_div(r20076, r20063, r20071, MPFR_RNDN);
        mpfr_add(r20077, r20070, r20063, MPFR_RNDN);
        mpfr_div(r20078, r20069, r20077, MPFR_RNDN);
        mpfr_div(r20079, r20078, r20072, MPFR_RNDN);
        mpfr_sub(r20080, r20076, r20079, MPFR_RNDN);
        mpfr_sub(r20081, r20063, r20080, MPFR_RNDN);
        if (mpfr_get_si(r20065, MPFR_RNDN)) { mpfr_set(r20082, r20075, MPFR_RNDN); } else { mpfr_set(r20082, r20081, MPFR_RNDN); };
        return mpfr_get_d(r20082, MPFR_RNDN);
}

static mpfr_t r20083, r20084, r20085, r20086, r20087, r20088, r20089, r20090, r20091, r20092, r20093, r20094, r20095, r20096, r20097, r20098, r20099, r20100, r20101, r20102;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20083);
        mpfr_init_set_str(r20084, "4.117893899060259e-06", 10, MPFR_RNDN);
        mpfr_init(r20085);
        mpfr_init(r20086);
        mpfr_init(r20087);
        mpfr_init(r20088);
        mpfr_init(r20089);
        mpfr_init_set_str(r20090, "1", 10, MPFR_RNDN);
        mpfr_init(r20091);
        mpfr_init(r20092);
        mpfr_init(r20093);
        mpfr_init(r20094);
        mpfr_init(r20095);
        mpfr_init(r20096);
        mpfr_init(r20097);
        mpfr_init(r20098);
        mpfr_init(r20099);
        mpfr_init(r20100);
        mpfr_init(r20101);
        mpfr_init(r20102);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20083, wj, MPFR_RNDN);
        ;
        mpfr_set_si(r20085, mpfr_cmp(r20083, r20084) <= 0, MPFR_RNDN);
        mpfr_sqr(r20086, r20083, MPFR_RNDN);
        mpfr_mul(r20087, r20083, r20083, MPFR_RNDN); mpfr_mul(r20087, r20087, r20083, MPFR_RNDN);
        mpfr_sub(r20088, r20086, r20087, MPFR_RNDN);
        mpfr_set_d(r20089, x, MPFR_RNDN);
        ;
        mpfr_add(r20091, r20083, r20090, MPFR_RNDN);
        mpfr_exp(r20092, r20083, MPFR_RNDN);
        mpfr_mul(r20093, r20091, r20092, MPFR_RNDN);
        mpfr_div(r20094, r20089, r20093, MPFR_RNDN);
        mpfr_add(r20095, r20088, r20094, MPFR_RNDN);
        mpfr_div(r20096, r20083, r20091, MPFR_RNDN);
        mpfr_add(r20097, r20090, r20083, MPFR_RNDN);
        mpfr_div(r20098, r20089, r20097, MPFR_RNDN);
        mpfr_div(r20099, r20098, r20092, MPFR_RNDN);
        mpfr_sub(r20100, r20096, r20099, MPFR_RNDN);
        mpfr_sub(r20101, r20083, r20100, MPFR_RNDN);
        if (mpfr_get_si(r20085, MPFR_RNDN)) { mpfr_set(r20102, r20095, MPFR_RNDN); } else { mpfr_set(r20102, r20101, MPFR_RNDN); };
        return mpfr_get_d(r20102, MPFR_RNDN);
}