#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 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;
        return r20114;
}

double f_id(double wj, double x) {
        double r20115 = wj;
        double r20116 = exp(r20115);
        double r20117 = r20115 * r20116;
        double r20118 = x;
        double r20119 = r20117 - r20118;
        double r20120 = r20116 + r20117;
        double r20121 = r20119 / r20120;
        double r20122 = r20115 - r20121;
        return r20122;
}


double f_of(float wj, float x) {
        float r20123 = wj;
        float r20124 = r20123 * r20123;
        float r20125 = r20123 * (r20123 * r20123);
        float r20126 = r20124 - r20125;
        float r20127 = x;
        float r20128 = 1.0f;
        float r20129 = r20123 + r20128;
        float r20130 = exp(r20123);
        float r20131 = r20129 * r20130;
        float r20132 = r20127 / r20131;
        float r20133 = r20126 + r20132;
        return r20133;
}

double f_od(double wj, double x) {
        double r20134 = wj;
        double r20135 = r20134 * r20134;
        double r20136 = r20134 * (r20134 * r20134);
        double r20137 = r20135 - r20136;
        double r20138 = x;
        double r20139 = 1.0;
        double r20140 = r20134 + r20139;
        double r20141 = exp(r20134);
        double r20142 = r20140 * r20141;
        double r20143 = r20138 / r20142;
        double r20144 = r20137 + r20143;
        return r20144;
}

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 r20145, r20146, r20147, r20148, r20149, r20150, r20151, r20152;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20145);
        mpfr_init(r20146);
        mpfr_init(r20147);
        mpfr_init(r20148);
        mpfr_init(r20149);
        mpfr_init(r20150);
        mpfr_init(r20151);
        mpfr_init(r20152);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20145, wj, MPFR_RNDN);
        mpfr_exp(r20146, r20145, MPFR_RNDN);
        mpfr_mul(r20147, r20145, r20146, MPFR_RNDN);
        mpfr_set_d(r20148, x, MPFR_RNDN);
        mpfr_sub(r20149, r20147, r20148, MPFR_RNDN);
        mpfr_add(r20150, r20146, r20147, MPFR_RNDN);
        mpfr_div(r20151, r20149, r20150, MPFR_RNDN);
        mpfr_sub(r20152, r20145, r20151, MPFR_RNDN);
        return mpfr_get_d(r20152, MPFR_RNDN);
}

static mpfr_t r20153, r20154, r20155, r20156, r20157, r20158, r20159, r20160, r20161, r20162, r20163;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20153);
        mpfr_init(r20154);
        mpfr_init(r20155);
        mpfr_init(r20156);
        mpfr_init(r20157);
        mpfr_init_set_str(r20158, "1", 10, MPFR_RNDN);
        mpfr_init(r20159);
        mpfr_init(r20160);
        mpfr_init(r20161);
        mpfr_init(r20162);
        mpfr_init(r20163);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20153, wj, MPFR_RNDN);
        mpfr_sqr(r20154, r20153, MPFR_RNDN);
        mpfr_mul(r20155, r20153, r20153, MPFR_RNDN); mpfr_mul(r20155, r20155, r20153, MPFR_RNDN);
        mpfr_sub(r20156, r20154, r20155, MPFR_RNDN);
        mpfr_set_d(r20157, x, MPFR_RNDN);
        ;
        mpfr_add(r20159, r20153, r20158, MPFR_RNDN);
        mpfr_exp(r20160, r20153, MPFR_RNDN);
        mpfr_mul(r20161, r20159, r20160, MPFR_RNDN);
        mpfr_div(r20162, r20157, r20161, MPFR_RNDN);
        mpfr_add(r20163, r20156, r20162, MPFR_RNDN);
        return mpfr_get_d(r20163, MPFR_RNDN);
}

static mpfr_t r20164, r20165, r20166, r20167, r20168, r20169, r20170, r20171, r20172, r20173, r20174;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20164);
        mpfr_init(r20165);
        mpfr_init(r20166);
        mpfr_init(r20167);
        mpfr_init(r20168);
        mpfr_init_set_str(r20169, "1", 10, MPFR_RNDN);
        mpfr_init(r20170);
        mpfr_init(r20171);
        mpfr_init(r20172);
        mpfr_init(r20173);
        mpfr_init(r20174);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20164, wj, MPFR_RNDN);
        mpfr_sqr(r20165, r20164, MPFR_RNDN);
        mpfr_mul(r20166, r20164, r20164, MPFR_RNDN); mpfr_mul(r20166, r20166, r20164, MPFR_RNDN);
        mpfr_sub(r20167, r20165, r20166, MPFR_RNDN);
        mpfr_set_d(r20168, x, MPFR_RNDN);
        ;
        mpfr_add(r20170, r20164, r20169, MPFR_RNDN);
        mpfr_exp(r20171, r20164, MPFR_RNDN);
        mpfr_mul(r20172, r20170, r20171, MPFR_RNDN);
        mpfr_div(r20173, r20168, r20172, MPFR_RNDN);
        mpfr_add(r20174, r20167, r20173, MPFR_RNDN);
        return mpfr_get_d(r20174, MPFR_RNDN);
}