#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 r19039 = wj;
        float r19040 = exp(r19039);
        float r19041 = r19039 * r19040;
        float r19042 = x;
        float r19043 = r19041 - r19042;
        float r19044 = r19040 + r19041;
        float r19045 = r19043 / r19044;
        float r19046 = r19039 - r19045;
        return r19046;
}

double f_id(double wj, double x) {
        double r19047 = wj;
        double r19048 = exp(r19047);
        double r19049 = r19047 * r19048;
        double r19050 = x;
        double r19051 = r19049 - r19050;
        double r19052 = r19048 + r19049;
        double r19053 = r19051 / r19052;
        double r19054 = r19047 - r19053;
        return r19054;
}


double f_of(float wj, float x) {
        float r19055 = wj;
        float r19056 = 4.0f;
        float r19057 = pow(r19055, r19056);
        float r19058 = r19055 * r19055;
        float r19059 = r19055 * (r19055 * r19055);
        float r19060 = r19058 - r19059;
        float r19061 = r19057 + r19060;
        float r19062 = x;
        float r19063 = exp(r19055);
        float r19064 = 1.0f;
        float r19065 = r19064 + r19055;
        float r19066 = r19063 * r19065;
        float r19067 = r19062 / r19066;
        float r19068 = r19061 + r19067;
        return r19068;
}

double f_od(double wj, double x) {
        double r19069 = wj;
        double r19070 = 4.0;
        double r19071 = pow(r19069, r19070);
        double r19072 = r19069 * r19069;
        double r19073 = r19069 * (r19069 * r19069);
        double r19074 = r19072 - r19073;
        double r19075 = r19071 + r19074;
        double r19076 = x;
        double r19077 = exp(r19069);
        double r19078 = 1.0;
        double r19079 = r19078 + r19069;
        double r19080 = r19077 * r19079;
        double r19081 = r19076 / r19080;
        double r19082 = r19075 + r19081;
        return r19082;
}

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 r19083, r19084, r19085, r19086, r19087, r19088, r19089, r19090;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19083);
        mpfr_init(r19084);
        mpfr_init(r19085);
        mpfr_init(r19086);
        mpfr_init(r19087);
        mpfr_init(r19088);
        mpfr_init(r19089);
        mpfr_init(r19090);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19083, wj, MPFR_RNDN);
        mpfr_exp(r19084, r19083, MPFR_RNDN);
        mpfr_mul(r19085, r19083, r19084, MPFR_RNDN);
        mpfr_set_d(r19086, x, MPFR_RNDN);
        mpfr_sub(r19087, r19085, r19086, MPFR_RNDN);
        mpfr_add(r19088, r19084, r19085, MPFR_RNDN);
        mpfr_div(r19089, r19087, r19088, MPFR_RNDN);
        mpfr_sub(r19090, r19083, r19089, MPFR_RNDN);
        return mpfr_get_d(r19090, MPFR_RNDN);
}

static mpfr_t r19091, r19092, r19093, r19094, r19095, r19096, r19097, r19098, r19099, r19100, r19101, r19102, r19103, r19104;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19091);
        mpfr_init_set_str(r19092, "4", 10, MPFR_RNDN);
        mpfr_init(r19093);
        mpfr_init(r19094);
        mpfr_init(r19095);
        mpfr_init(r19096);
        mpfr_init(r19097);
        mpfr_init(r19098);
        mpfr_init(r19099);
        mpfr_init_set_str(r19100, "1", 10, MPFR_RNDN);
        mpfr_init(r19101);
        mpfr_init(r19102);
        mpfr_init(r19103);
        mpfr_init(r19104);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19091, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19093, r19091, r19092, MPFR_RNDN);
        mpfr_sqr(r19094, r19091, MPFR_RNDN);
        mpfr_mul(r19095, r19091, r19091, MPFR_RNDN); mpfr_mul(r19095, r19095, r19091, MPFR_RNDN);
        mpfr_sub(r19096, r19094, r19095, MPFR_RNDN);
        mpfr_add(r19097, r19093, r19096, MPFR_RNDN);
        mpfr_set_d(r19098, x, MPFR_RNDN);
        mpfr_exp(r19099, r19091, MPFR_RNDN);
        ;
        mpfr_add(r19101, r19100, r19091, MPFR_RNDN);
        mpfr_mul(r19102, r19099, r19101, MPFR_RNDN);
        mpfr_div(r19103, r19098, r19102, MPFR_RNDN);
        mpfr_add(r19104, r19097, r19103, MPFR_RNDN);
        return mpfr_get_d(r19104, MPFR_RNDN);
}

static mpfr_t r19105, r19106, r19107, r19108, r19109, r19110, r19111, r19112, r19113, r19114, r19115, r19116, r19117, r19118;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19105);
        mpfr_init_set_str(r19106, "4", 10, MPFR_RNDN);
        mpfr_init(r19107);
        mpfr_init(r19108);
        mpfr_init(r19109);
        mpfr_init(r19110);
        mpfr_init(r19111);
        mpfr_init(r19112);
        mpfr_init(r19113);
        mpfr_init_set_str(r19114, "1", 10, MPFR_RNDN);
        mpfr_init(r19115);
        mpfr_init(r19116);
        mpfr_init(r19117);
        mpfr_init(r19118);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19105, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19107, r19105, r19106, MPFR_RNDN);
        mpfr_sqr(r19108, r19105, MPFR_RNDN);
        mpfr_mul(r19109, r19105, r19105, MPFR_RNDN); mpfr_mul(r19109, r19109, r19105, MPFR_RNDN);
        mpfr_sub(r19110, r19108, r19109, MPFR_RNDN);
        mpfr_add(r19111, r19107, r19110, MPFR_RNDN);
        mpfr_set_d(r19112, x, MPFR_RNDN);
        mpfr_exp(r19113, r19105, MPFR_RNDN);
        ;
        mpfr_add(r19115, r19114, r19105, MPFR_RNDN);
        mpfr_mul(r19116, r19113, r19115, MPFR_RNDN);
        mpfr_div(r19117, r19112, r19116, MPFR_RNDN);
        mpfr_add(r19118, r19111, r19117, MPFR_RNDN);
        return mpfr_get_d(r19118, MPFR_RNDN);
}