#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 r20007 = wj;
        float r20008 = exp(r20007);
        float r20009 = r20007 * r20008;
        float r20010 = x;
        float r20011 = r20009 - r20010;
        float r20012 = r20008 + r20009;
        float r20013 = r20011 / r20012;
        float r20014 = r20007 - r20013;
        return r20014;
}

double f_id(double wj, double x) {
        double r20015 = wj;
        double r20016 = exp(r20015);
        double r20017 = r20015 * r20016;
        double r20018 = x;
        double r20019 = r20017 - r20018;
        double r20020 = r20016 + r20017;
        double r20021 = r20019 / r20020;
        double r20022 = r20015 - r20021;
        return r20022;
}


double f_of(float wj, float x) {
        float r20023 = wj;
        float r20024 = exp(r20023);
        float r20025 = r20023 * r20024;
        float r20026 = x;
        float r20027 = r20025 - r20026;
        float r20028 = r20024 + r20025;
        float r20029 = r20027 / r20028;
        float r20030 = r20023 - r20029;
        float r20031 = 3.691192269698134e-16f;
        bool r20032 = r20030 <= r20031;
        float r20033 = r20023 * r20023;
        float r20034 = r20033 + r20026;
        float r20035 = 2.0f;
        float r20036 = r20023 * r20026;
        float r20037 = r20035 * r20036;
        float r20038 = r20034 - r20037;
        float r20039 = 1.0f;
        float r20040 = r20039 + r20023;
        float r20041 = r20023 / r20040;
        float r20042 = r20023 - r20041;
        float r20043 = r20026 / r20028;
        float r20044 = r20042 + r20043;
        float r20045 = r20032 ? r20038 : r20044;
        return r20045;
}

double f_od(double wj, double x) {
        double r20046 = wj;
        double r20047 = exp(r20046);
        double r20048 = r20046 * r20047;
        double r20049 = x;
        double r20050 = r20048 - r20049;
        double r20051 = r20047 + r20048;
        double r20052 = r20050 / r20051;
        double r20053 = r20046 - r20052;
        double r20054 = 3.691192269698134e-16;
        bool r20055 = r20053 <= r20054;
        double r20056 = r20046 * r20046;
        double r20057 = r20056 + r20049;
        double r20058 = 2.0;
        double r20059 = r20046 * r20049;
        double r20060 = r20058 * r20059;
        double r20061 = r20057 - r20060;
        double r20062 = 1.0;
        double r20063 = r20062 + r20046;
        double r20064 = r20046 / r20063;
        double r20065 = r20046 - r20064;
        double r20066 = r20049 / r20051;
        double r20067 = r20065 + r20066;
        double r20068 = r20055 ? r20061 : r20067;
        return r20068;
}

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 r20069, r20070, r20071, r20072, r20073, r20074, r20075, r20076;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20069);
        mpfr_init(r20070);
        mpfr_init(r20071);
        mpfr_init(r20072);
        mpfr_init(r20073);
        mpfr_init(r20074);
        mpfr_init(r20075);
        mpfr_init(r20076);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20069, wj, MPFR_RNDN);
        mpfr_exp(r20070, r20069, MPFR_RNDN);
        mpfr_mul(r20071, r20069, r20070, MPFR_RNDN);
        mpfr_set_d(r20072, x, MPFR_RNDN);
        mpfr_sub(r20073, r20071, r20072, MPFR_RNDN);
        mpfr_add(r20074, r20070, r20071, MPFR_RNDN);
        mpfr_div(r20075, r20073, r20074, MPFR_RNDN);
        mpfr_sub(r20076, r20069, r20075, MPFR_RNDN);
        return mpfr_get_d(r20076, MPFR_RNDN);
}

static mpfr_t r20077, r20078, r20079, r20080, r20081, r20082, r20083, r20084, r20085, r20086, r20087, r20088, r20089, r20090, r20091, r20092, r20093, r20094, r20095, r20096, r20097, r20098, r20099;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20077);
        mpfr_init(r20078);
        mpfr_init(r20079);
        mpfr_init(r20080);
        mpfr_init(r20081);
        mpfr_init(r20082);
        mpfr_init(r20083);
        mpfr_init(r20084);
        mpfr_init_set_str(r20085, "3.691192269698134e-16", 10, MPFR_RNDN);
        mpfr_init(r20086);
        mpfr_init(r20087);
        mpfr_init(r20088);
        mpfr_init_set_str(r20089, "2", 10, MPFR_RNDN);
        mpfr_init(r20090);
        mpfr_init(r20091);
        mpfr_init(r20092);
        mpfr_init_set_str(r20093, "1", 10, MPFR_RNDN);
        mpfr_init(r20094);
        mpfr_init(r20095);
        mpfr_init(r20096);
        mpfr_init(r20097);
        mpfr_init(r20098);
        mpfr_init(r20099);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20077, wj, MPFR_RNDN);
        mpfr_exp(r20078, r20077, MPFR_RNDN);
        mpfr_mul(r20079, r20077, r20078, MPFR_RNDN);
        mpfr_set_d(r20080, x, MPFR_RNDN);
        mpfr_sub(r20081, r20079, r20080, MPFR_RNDN);
        mpfr_add(r20082, r20078, r20079, MPFR_RNDN);
        mpfr_div(r20083, r20081, r20082, MPFR_RNDN);
        mpfr_sub(r20084, r20077, r20083, MPFR_RNDN);
        ;
        mpfr_set_si(r20086, mpfr_cmp(r20084, r20085) <= 0, MPFR_RNDN);
        mpfr_sqr(r20087, r20077, MPFR_RNDN);
        mpfr_add(r20088, r20087, r20080, MPFR_RNDN);
        ;
        mpfr_mul(r20090, r20077, r20080, MPFR_RNDN);
        mpfr_mul(r20091, r20089, r20090, MPFR_RNDN);
        mpfr_sub(r20092, r20088, r20091, MPFR_RNDN);
        ;
        mpfr_add(r20094, r20093, r20077, MPFR_RNDN);
        mpfr_div(r20095, r20077, r20094, MPFR_RNDN);
        mpfr_sub(r20096, r20077, r20095, MPFR_RNDN);
        mpfr_div(r20097, r20080, r20082, MPFR_RNDN);
        mpfr_add(r20098, r20096, r20097, MPFR_RNDN);
        if (mpfr_get_si(r20086, MPFR_RNDN)) { mpfr_set(r20099, r20092, MPFR_RNDN); } else { mpfr_set(r20099, r20098, MPFR_RNDN); };
        return mpfr_get_d(r20099, MPFR_RNDN);
}

static mpfr_t r20100, r20101, r20102, r20103, r20104, r20105, r20106, r20107, r20108, r20109, r20110, r20111, r20112, r20113, r20114, r20115, r20116, r20117, r20118, r20119, r20120, r20121, r20122;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20100);
        mpfr_init(r20101);
        mpfr_init(r20102);
        mpfr_init(r20103);
        mpfr_init(r20104);
        mpfr_init(r20105);
        mpfr_init(r20106);
        mpfr_init(r20107);
        mpfr_init_set_str(r20108, "3.691192269698134e-16", 10, MPFR_RNDN);
        mpfr_init(r20109);
        mpfr_init(r20110);
        mpfr_init(r20111);
        mpfr_init_set_str(r20112, "2", 10, MPFR_RNDN);
        mpfr_init(r20113);
        mpfr_init(r20114);
        mpfr_init(r20115);
        mpfr_init_set_str(r20116, "1", 10, MPFR_RNDN);
        mpfr_init(r20117);
        mpfr_init(r20118);
        mpfr_init(r20119);
        mpfr_init(r20120);
        mpfr_init(r20121);
        mpfr_init(r20122);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20100, wj, MPFR_RNDN);
        mpfr_exp(r20101, r20100, MPFR_RNDN);
        mpfr_mul(r20102, r20100, r20101, MPFR_RNDN);
        mpfr_set_d(r20103, x, MPFR_RNDN);
        mpfr_sub(r20104, r20102, r20103, MPFR_RNDN);
        mpfr_add(r20105, r20101, r20102, MPFR_RNDN);
        mpfr_div(r20106, r20104, r20105, MPFR_RNDN);
        mpfr_sub(r20107, r20100, r20106, MPFR_RNDN);
        ;
        mpfr_set_si(r20109, mpfr_cmp(r20107, r20108) <= 0, MPFR_RNDN);
        mpfr_sqr(r20110, r20100, MPFR_RNDN);
        mpfr_add(r20111, r20110, r20103, MPFR_RNDN);
        ;
        mpfr_mul(r20113, r20100, r20103, MPFR_RNDN);
        mpfr_mul(r20114, r20112, r20113, MPFR_RNDN);
        mpfr_sub(r20115, r20111, r20114, MPFR_RNDN);
        ;
        mpfr_add(r20117, r20116, r20100, MPFR_RNDN);
        mpfr_div(r20118, r20100, r20117, MPFR_RNDN);
        mpfr_sub(r20119, r20100, r20118, MPFR_RNDN);
        mpfr_div(r20120, r20103, r20105, MPFR_RNDN);
        mpfr_add(r20121, r20119, r20120, MPFR_RNDN);
        if (mpfr_get_si(r20109, MPFR_RNDN)) { mpfr_set(r20122, r20115, MPFR_RNDN); } else { mpfr_set(r20122, r20121, MPFR_RNDN); };
        return mpfr_get_d(r20122, MPFR_RNDN);
}