#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 r18387 = wj;
        float r18388 = exp(r18387);
        float r18389 = r18387 * r18388;
        float r18390 = x;
        float r18391 = r18389 - r18390;
        float r18392 = r18388 + r18389;
        float r18393 = r18391 / r18392;
        float r18394 = r18387 - r18393;
        return r18394;
}

double f_id(double wj, double x) {
        double r18395 = wj;
        double r18396 = exp(r18395);
        double r18397 = r18395 * r18396;
        double r18398 = x;
        double r18399 = r18397 - r18398;
        double r18400 = r18396 + r18397;
        double r18401 = r18399 / r18400;
        double r18402 = r18395 - r18401;
        return r18402;
}


double f_of(float wj, float x) {
        float r18403 = wj;
        float r18404 = 1.0f;
        float r18405 = r18404 + r18403;
        float r18406 = r18403 / r18405;
        float r18407 = r18403 - r18406;
        float r18408 = x;
        float r18409 = exp(r18403);
        float r18410 = r18403 * r18409;
        float r18411 = r18409 + r18410;
        float r18412 = r18408 / r18411;
        float r18413 = r18407 + r18412;
        return r18413;
}

double f_od(double wj, double x) {
        double r18414 = wj;
        double r18415 = 1.0;
        double r18416 = r18415 + r18414;
        double r18417 = r18414 / r18416;
        double r18418 = r18414 - r18417;
        double r18419 = x;
        double r18420 = exp(r18414);
        double r18421 = r18414 * r18420;
        double r18422 = r18420 + r18421;
        double r18423 = r18419 / r18422;
        double r18424 = r18418 + r18423;
        return r18424;
}

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 r18425, r18426, r18427, r18428, r18429, r18430, r18431, r18432;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18425);
        mpfr_init(r18426);
        mpfr_init(r18427);
        mpfr_init(r18428);
        mpfr_init(r18429);
        mpfr_init(r18430);
        mpfr_init(r18431);
        mpfr_init(r18432);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18425, wj, MPFR_RNDN);
        mpfr_exp(r18426, r18425, MPFR_RNDN);
        mpfr_mul(r18427, r18425, r18426, MPFR_RNDN);
        mpfr_set_d(r18428, x, MPFR_RNDN);
        mpfr_sub(r18429, r18427, r18428, MPFR_RNDN);
        mpfr_add(r18430, r18426, r18427, MPFR_RNDN);
        mpfr_div(r18431, r18429, r18430, MPFR_RNDN);
        mpfr_sub(r18432, r18425, r18431, MPFR_RNDN);
        return mpfr_get_d(r18432, MPFR_RNDN);
}

static mpfr_t r18433, r18434, r18435, r18436, r18437, r18438, r18439, r18440, r18441, r18442, r18443;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18433);
        mpfr_init_set_str(r18434, "1", 10, MPFR_RNDN);
        mpfr_init(r18435);
        mpfr_init(r18436);
        mpfr_init(r18437);
        mpfr_init(r18438);
        mpfr_init(r18439);
        mpfr_init(r18440);
        mpfr_init(r18441);
        mpfr_init(r18442);
        mpfr_init(r18443);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18433, wj, MPFR_RNDN);
        ;
        mpfr_add(r18435, r18434, r18433, MPFR_RNDN);
        mpfr_div(r18436, r18433, r18435, MPFR_RNDN);
        mpfr_sub(r18437, r18433, r18436, MPFR_RNDN);
        mpfr_set_d(r18438, x, MPFR_RNDN);
        mpfr_exp(r18439, r18433, MPFR_RNDN);
        mpfr_mul(r18440, r18433, r18439, MPFR_RNDN);
        mpfr_add(r18441, r18439, r18440, MPFR_RNDN);
        mpfr_div(r18442, r18438, r18441, MPFR_RNDN);
        mpfr_add(r18443, r18437, r18442, MPFR_RNDN);
        return mpfr_get_d(r18443, MPFR_RNDN);
}

static mpfr_t r18444, r18445, r18446, r18447, r18448, r18449, r18450, r18451, r18452, r18453, r18454;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18444);
        mpfr_init_set_str(r18445, "1", 10, MPFR_RNDN);
        mpfr_init(r18446);
        mpfr_init(r18447);
        mpfr_init(r18448);
        mpfr_init(r18449);
        mpfr_init(r18450);
        mpfr_init(r18451);
        mpfr_init(r18452);
        mpfr_init(r18453);
        mpfr_init(r18454);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18444, wj, MPFR_RNDN);
        ;
        mpfr_add(r18446, r18445, r18444, MPFR_RNDN);
        mpfr_div(r18447, r18444, r18446, MPFR_RNDN);
        mpfr_sub(r18448, r18444, r18447, MPFR_RNDN);
        mpfr_set_d(r18449, x, MPFR_RNDN);
        mpfr_exp(r18450, r18444, MPFR_RNDN);
        mpfr_mul(r18451, r18444, r18450, MPFR_RNDN);
        mpfr_add(r18452, r18450, r18451, MPFR_RNDN);
        mpfr_div(r18453, r18449, r18452, MPFR_RNDN);
        mpfr_add(r18454, r18448, r18453, MPFR_RNDN);
        return mpfr_get_d(r18454, MPFR_RNDN);
}