#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 r20091 = wj;
        float r20092 = exp(r20091);
        float r20093 = r20091 * r20092;
        float r20094 = x;
        float r20095 = r20093 - r20094;
        float r20096 = r20092 + r20093;
        float r20097 = r20095 / r20096;
        float r20098 = r20091 - r20097;
        return r20098;
}

double f_id(double wj, double x) {
        double r20099 = wj;
        double r20100 = exp(r20099);
        double r20101 = r20099 * r20100;
        double r20102 = x;
        double r20103 = r20101 - r20102;
        double r20104 = r20100 + r20101;
        double r20105 = r20103 / r20104;
        double r20106 = r20099 - r20105;
        return r20106;
}


double f_of(float wj, float x) {
        float r20107 = wj;
        float r20108 = exp(r20107);
        float r20109 = r20107 * r20108;
        float r20110 = x;
        float r20111 = r20109 - r20110;
        float r20112 = r20108 + r20109;
        float r20113 = r20111 / r20112;
        float r20114 = r20107 - r20113;
        float r20115 = 3.0060102493901543e-06f;
        bool r20116 = r20114 <= r20115;
        float r20117 = 4.0f;
        float r20118 = pow(r20107, r20117);
        float r20119 = r20107 * r20107;
        float r20120 = r20107 * (r20107 * r20107);
        float r20121 = r20119 - r20120;
        float r20122 = r20118 + r20121;
        float r20123 = 1.0f;
        float r20124 = r20123 + r20107;
        float r20125 = r20108 * r20124;
        float r20126 = r20110 / r20125;
        float r20127 = r20122 + r20126;
        float r20128 = r20107 / r20124;
        float r20129 = r20107 - r20128;
        float r20130 = r20110 / r20112;
        float r20131 = r20129 + r20130;
        float r20132 = r20116 ? r20127 : r20131;
        return r20132;
}

double f_od(double wj, double x) {
        double r20133 = wj;
        double r20134 = exp(r20133);
        double r20135 = r20133 * r20134;
        double r20136 = x;
        double r20137 = r20135 - r20136;
        double r20138 = r20134 + r20135;
        double r20139 = r20137 / r20138;
        double r20140 = r20133 - r20139;
        double r20141 = 3.0060102493901543e-06;
        bool r20142 = r20140 <= r20141;
        double r20143 = 4.0;
        double r20144 = pow(r20133, r20143);
        double r20145 = r20133 * r20133;
        double r20146 = r20133 * (r20133 * r20133);
        double r20147 = r20145 - r20146;
        double r20148 = r20144 + r20147;
        double r20149 = 1.0;
        double r20150 = r20149 + r20133;
        double r20151 = r20134 * r20150;
        double r20152 = r20136 / r20151;
        double r20153 = r20148 + r20152;
        double r20154 = r20133 / r20150;
        double r20155 = r20133 - r20154;
        double r20156 = r20136 / r20138;
        double r20157 = r20155 + r20156;
        double r20158 = r20142 ? r20153 : r20157;
        return r20158;
}

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 r20159, r20160, r20161, r20162, r20163, r20164, r20165, r20166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20159);
        mpfr_init(r20160);
        mpfr_init(r20161);
        mpfr_init(r20162);
        mpfr_init(r20163);
        mpfr_init(r20164);
        mpfr_init(r20165);
        mpfr_init(r20166);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20159, wj, MPFR_RNDN);
        mpfr_exp(r20160, r20159, MPFR_RNDN);
        mpfr_mul(r20161, r20159, r20160, MPFR_RNDN);
        mpfr_set_d(r20162, x, MPFR_RNDN);
        mpfr_sub(r20163, r20161, r20162, MPFR_RNDN);
        mpfr_add(r20164, r20160, r20161, MPFR_RNDN);
        mpfr_div(r20165, r20163, r20164, MPFR_RNDN);
        mpfr_sub(r20166, r20159, r20165, MPFR_RNDN);
        return mpfr_get_d(r20166, MPFR_RNDN);
}

static mpfr_t r20167, r20168, r20169, r20170, r20171, r20172, r20173, r20174, r20175, r20176, r20177, r20178, r20179, r20180, r20181, r20182, r20183, r20184, r20185, r20186, r20187, r20188, r20189, r20190, r20191, r20192;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20167);
        mpfr_init(r20168);
        mpfr_init(r20169);
        mpfr_init(r20170);
        mpfr_init(r20171);
        mpfr_init(r20172);
        mpfr_init(r20173);
        mpfr_init(r20174);
        mpfr_init_set_str(r20175, "3.0060102493901543e-06", 10, MPFR_RNDN);
        mpfr_init(r20176);
        mpfr_init_set_str(r20177, "4", 10, MPFR_RNDN);
        mpfr_init(r20178);
        mpfr_init(r20179);
        mpfr_init(r20180);
        mpfr_init(r20181);
        mpfr_init(r20182);
        mpfr_init_set_str(r20183, "1", 10, MPFR_RNDN);
        mpfr_init(r20184);
        mpfr_init(r20185);
        mpfr_init(r20186);
        mpfr_init(r20187);
        mpfr_init(r20188);
        mpfr_init(r20189);
        mpfr_init(r20190);
        mpfr_init(r20191);
        mpfr_init(r20192);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20167, wj, MPFR_RNDN);
        mpfr_exp(r20168, r20167, MPFR_RNDN);
        mpfr_mul(r20169, r20167, r20168, MPFR_RNDN);
        mpfr_set_d(r20170, x, MPFR_RNDN);
        mpfr_sub(r20171, r20169, r20170, MPFR_RNDN);
        mpfr_add(r20172, r20168, r20169, MPFR_RNDN);
        mpfr_div(r20173, r20171, r20172, MPFR_RNDN);
        mpfr_sub(r20174, r20167, r20173, MPFR_RNDN);
        ;
        mpfr_set_si(r20176, mpfr_cmp(r20174, r20175) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r20178, r20167, r20177, MPFR_RNDN);
        mpfr_sqr(r20179, r20167, MPFR_RNDN);
        mpfr_mul(r20180, r20167, r20167, MPFR_RNDN); mpfr_mul(r20180, r20180, r20167, MPFR_RNDN);
        mpfr_sub(r20181, r20179, r20180, MPFR_RNDN);
        mpfr_add(r20182, r20178, r20181, MPFR_RNDN);
        ;
        mpfr_add(r20184, r20183, r20167, MPFR_RNDN);
        mpfr_mul(r20185, r20168, r20184, MPFR_RNDN);
        mpfr_div(r20186, r20170, r20185, MPFR_RNDN);
        mpfr_add(r20187, r20182, r20186, MPFR_RNDN);
        mpfr_div(r20188, r20167, r20184, MPFR_RNDN);
        mpfr_sub(r20189, r20167, r20188, MPFR_RNDN);
        mpfr_div(r20190, r20170, r20172, MPFR_RNDN);
        mpfr_add(r20191, r20189, r20190, MPFR_RNDN);
        if (mpfr_get_si(r20176, MPFR_RNDN)) { mpfr_set(r20192, r20187, MPFR_RNDN); } else { mpfr_set(r20192, r20191, MPFR_RNDN); };
        return mpfr_get_d(r20192, MPFR_RNDN);
}

static mpfr_t r20193, r20194, r20195, r20196, r20197, r20198, r20199, r20200, r20201, r20202, r20203, r20204, r20205, r20206, r20207, r20208, r20209, r20210, r20211, r20212, r20213, r20214, r20215, r20216, r20217, r20218;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20193);
        mpfr_init(r20194);
        mpfr_init(r20195);
        mpfr_init(r20196);
        mpfr_init(r20197);
        mpfr_init(r20198);
        mpfr_init(r20199);
        mpfr_init(r20200);
        mpfr_init_set_str(r20201, "3.0060102493901543e-06", 10, MPFR_RNDN);
        mpfr_init(r20202);
        mpfr_init_set_str(r20203, "4", 10, MPFR_RNDN);
        mpfr_init(r20204);
        mpfr_init(r20205);
        mpfr_init(r20206);
        mpfr_init(r20207);
        mpfr_init(r20208);
        mpfr_init_set_str(r20209, "1", 10, MPFR_RNDN);
        mpfr_init(r20210);
        mpfr_init(r20211);
        mpfr_init(r20212);
        mpfr_init(r20213);
        mpfr_init(r20214);
        mpfr_init(r20215);
        mpfr_init(r20216);
        mpfr_init(r20217);
        mpfr_init(r20218);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20193, wj, MPFR_RNDN);
        mpfr_exp(r20194, r20193, MPFR_RNDN);
        mpfr_mul(r20195, r20193, r20194, MPFR_RNDN);
        mpfr_set_d(r20196, x, MPFR_RNDN);
        mpfr_sub(r20197, r20195, r20196, MPFR_RNDN);
        mpfr_add(r20198, r20194, r20195, MPFR_RNDN);
        mpfr_div(r20199, r20197, r20198, MPFR_RNDN);
        mpfr_sub(r20200, r20193, r20199, MPFR_RNDN);
        ;
        mpfr_set_si(r20202, mpfr_cmp(r20200, r20201) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r20204, r20193, r20203, MPFR_RNDN);
        mpfr_sqr(r20205, r20193, MPFR_RNDN);
        mpfr_mul(r20206, r20193, r20193, MPFR_RNDN); mpfr_mul(r20206, r20206, r20193, MPFR_RNDN);
        mpfr_sub(r20207, r20205, r20206, MPFR_RNDN);
        mpfr_add(r20208, r20204, r20207, MPFR_RNDN);
        ;
        mpfr_add(r20210, r20209, r20193, MPFR_RNDN);
        mpfr_mul(r20211, r20194, r20210, MPFR_RNDN);
        mpfr_div(r20212, r20196, r20211, MPFR_RNDN);
        mpfr_add(r20213, r20208, r20212, MPFR_RNDN);
        mpfr_div(r20214, r20193, r20210, MPFR_RNDN);
        mpfr_sub(r20215, r20193, r20214, MPFR_RNDN);
        mpfr_div(r20216, r20196, r20198, MPFR_RNDN);
        mpfr_add(r20217, r20215, r20216, MPFR_RNDN);
        if (mpfr_get_si(r20202, MPFR_RNDN)) { mpfr_set(r20218, r20213, MPFR_RNDN); } else { mpfr_set(r20218, r20217, MPFR_RNDN); };
        return mpfr_get_d(r20218, MPFR_RNDN);
}