#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 r19043 = wj;
        float r19044 = exp(r19043);
        float r19045 = r19043 * r19044;
        float r19046 = x;
        float r19047 = r19045 - r19046;
        float r19048 = r19044 + r19045;
        float r19049 = r19047 / r19048;
        float r19050 = r19043 - r19049;
        return r19050;
}

double f_id(double wj, double x) {
        double r19051 = wj;
        double r19052 = exp(r19051);
        double r19053 = r19051 * r19052;
        double r19054 = x;
        double r19055 = r19053 - r19054;
        double r19056 = r19052 + r19053;
        double r19057 = r19055 / r19056;
        double r19058 = r19051 - r19057;
        return r19058;
}


double f_of(float wj, float x) {
        float r19059 = wj;
        float r19060 = 4.0f;
        float r19061 = pow(r19059, r19060);
        float r19062 = r19059 * r19059;
        float r19063 = r19059 * (r19059 * r19059);
        float r19064 = r19062 - r19063;
        float r19065 = r19061 + r19064;
        float r19066 = x;
        float r19067 = exp(r19059);
        float r19068 = 1.0f;
        float r19069 = r19068 + r19059;
        float r19070 = r19067 * r19069;
        float r19071 = r19066 / r19070;
        float r19072 = r19065 + r19071;
        return r19072;
}

double f_od(double wj, double x) {
        double r19073 = wj;
        double r19074 = 4.0;
        double r19075 = pow(r19073, r19074);
        double r19076 = r19073 * r19073;
        double r19077 = r19073 * (r19073 * r19073);
        double r19078 = r19076 - r19077;
        double r19079 = r19075 + r19078;
        double r19080 = x;
        double r19081 = exp(r19073);
        double r19082 = 1.0;
        double r19083 = r19082 + r19073;
        double r19084 = r19081 * r19083;
        double r19085 = r19080 / r19084;
        double r19086 = r19079 + r19085;
        return r19086;
}

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 r19087, r19088, r19089, r19090, r19091, r19092, r19093, r19094;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19087);
        mpfr_init(r19088);
        mpfr_init(r19089);
        mpfr_init(r19090);
        mpfr_init(r19091);
        mpfr_init(r19092);
        mpfr_init(r19093);
        mpfr_init(r19094);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19087, wj, MPFR_RNDN);
        mpfr_exp(r19088, r19087, MPFR_RNDN);
        mpfr_mul(r19089, r19087, r19088, MPFR_RNDN);
        mpfr_set_d(r19090, x, MPFR_RNDN);
        mpfr_sub(r19091, r19089, r19090, MPFR_RNDN);
        mpfr_add(r19092, r19088, r19089, MPFR_RNDN);
        mpfr_div(r19093, r19091, r19092, MPFR_RNDN);
        mpfr_sub(r19094, r19087, r19093, MPFR_RNDN);
        return mpfr_get_d(r19094, MPFR_RNDN);
}

static mpfr_t r19095, r19096, r19097, r19098, r19099, r19100, r19101, r19102, r19103, r19104, r19105, r19106, r19107, r19108;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19095);
        mpfr_init_set_str(r19096, "4", 10, MPFR_RNDN);
        mpfr_init(r19097);
        mpfr_init(r19098);
        mpfr_init(r19099);
        mpfr_init(r19100);
        mpfr_init(r19101);
        mpfr_init(r19102);
        mpfr_init(r19103);
        mpfr_init_set_str(r19104, "1", 10, MPFR_RNDN);
        mpfr_init(r19105);
        mpfr_init(r19106);
        mpfr_init(r19107);
        mpfr_init(r19108);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19095, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19097, r19095, r19096, MPFR_RNDN);
        mpfr_sqr(r19098, r19095, MPFR_RNDN);
        mpfr_mul(r19099, r19095, r19095, MPFR_RNDN); mpfr_mul(r19099, r19099, r19095, MPFR_RNDN);
        mpfr_sub(r19100, r19098, r19099, MPFR_RNDN);
        mpfr_add(r19101, r19097, r19100, MPFR_RNDN);
        mpfr_set_d(r19102, x, MPFR_RNDN);
        mpfr_exp(r19103, r19095, MPFR_RNDN);
        ;
        mpfr_add(r19105, r19104, r19095, MPFR_RNDN);
        mpfr_mul(r19106, r19103, r19105, MPFR_RNDN);
        mpfr_div(r19107, r19102, r19106, MPFR_RNDN);
        mpfr_add(r19108, r19101, r19107, MPFR_RNDN);
        return mpfr_get_d(r19108, MPFR_RNDN);
}

static mpfr_t r19109, r19110, r19111, r19112, r19113, r19114, r19115, r19116, r19117, r19118, r19119, r19120, r19121, r19122;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19109);
        mpfr_init_set_str(r19110, "4", 10, MPFR_RNDN);
        mpfr_init(r19111);
        mpfr_init(r19112);
        mpfr_init(r19113);
        mpfr_init(r19114);
        mpfr_init(r19115);
        mpfr_init(r19116);
        mpfr_init(r19117);
        mpfr_init_set_str(r19118, "1", 10, MPFR_RNDN);
        mpfr_init(r19119);
        mpfr_init(r19120);
        mpfr_init(r19121);
        mpfr_init(r19122);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19109, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19111, r19109, r19110, MPFR_RNDN);
        mpfr_sqr(r19112, r19109, MPFR_RNDN);
        mpfr_mul(r19113, r19109, r19109, MPFR_RNDN); mpfr_mul(r19113, r19113, r19109, MPFR_RNDN);
        mpfr_sub(r19114, r19112, r19113, MPFR_RNDN);
        mpfr_add(r19115, r19111, r19114, MPFR_RNDN);
        mpfr_set_d(r19116, x, MPFR_RNDN);
        mpfr_exp(r19117, r19109, MPFR_RNDN);
        ;
        mpfr_add(r19119, r19118, r19109, MPFR_RNDN);
        mpfr_mul(r19120, r19117, r19119, MPFR_RNDN);
        mpfr_div(r19121, r19116, r19120, MPFR_RNDN);
        mpfr_add(r19122, r19115, r19121, MPFR_RNDN);
        return mpfr_get_d(r19122, MPFR_RNDN);
}