#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 r18407 = wj;
        float r18408 = exp(r18407);
        float r18409 = r18407 * r18408;
        float r18410 = x;
        float r18411 = r18409 - r18410;
        float r18412 = r18408 + r18409;
        float r18413 = r18411 / r18412;
        float r18414 = r18407 - r18413;
        return r18414;
}

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


double f_of(float wj, float x) {
        float r18423 = wj;
        float r18424 = 1.0f;
        float r18425 = r18424 + r18423;
        float r18426 = r18423 / r18425;
        float r18427 = r18423 - r18426;
        float r18428 = x;
        float r18429 = exp(r18423);
        float r18430 = r18423 * r18429;
        float r18431 = r18429 + r18430;
        float r18432 = r18428 / r18431;
        float r18433 = r18427 + r18432;
        return r18433;
}

double f_od(double wj, double x) {
        double r18434 = wj;
        double r18435 = 1.0;
        double r18436 = r18435 + r18434;
        double r18437 = r18434 / r18436;
        double r18438 = r18434 - r18437;
        double r18439 = x;
        double r18440 = exp(r18434);
        double r18441 = r18434 * r18440;
        double r18442 = r18440 + r18441;
        double r18443 = r18439 / r18442;
        double r18444 = r18438 + r18443;
        return r18444;
}

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 r18445, r18446, r18447, r18448, r18449, r18450, r18451, r18452;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18445);
        mpfr_init(r18446);
        mpfr_init(r18447);
        mpfr_init(r18448);
        mpfr_init(r18449);
        mpfr_init(r18450);
        mpfr_init(r18451);
        mpfr_init(r18452);
}

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

static mpfr_t r18453, r18454, r18455, r18456, r18457, r18458, r18459, r18460, r18461, r18462, r18463;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18453);
        mpfr_init_set_str(r18454, "1", 10, MPFR_RNDN);
        mpfr_init(r18455);
        mpfr_init(r18456);
        mpfr_init(r18457);
        mpfr_init(r18458);
        mpfr_init(r18459);
        mpfr_init(r18460);
        mpfr_init(r18461);
        mpfr_init(r18462);
        mpfr_init(r18463);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18453, wj, MPFR_RNDN);
        ;
        mpfr_add(r18455, r18454, r18453, MPFR_RNDN);
        mpfr_div(r18456, r18453, r18455, MPFR_RNDN);
        mpfr_sub(r18457, r18453, r18456, MPFR_RNDN);
        mpfr_set_d(r18458, x, MPFR_RNDN);
        mpfr_exp(r18459, r18453, MPFR_RNDN);
        mpfr_mul(r18460, r18453, r18459, MPFR_RNDN);
        mpfr_add(r18461, r18459, r18460, MPFR_RNDN);
        mpfr_div(r18462, r18458, r18461, MPFR_RNDN);
        mpfr_add(r18463, r18457, r18462, MPFR_RNDN);
        return mpfr_get_d(r18463, MPFR_RNDN);
}

static mpfr_t r18464, r18465, r18466, r18467, r18468, r18469, r18470, r18471, r18472, r18473, r18474;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18464);
        mpfr_init_set_str(r18465, "1", 10, MPFR_RNDN);
        mpfr_init(r18466);
        mpfr_init(r18467);
        mpfr_init(r18468);
        mpfr_init(r18469);
        mpfr_init(r18470);
        mpfr_init(r18471);
        mpfr_init(r18472);
        mpfr_init(r18473);
        mpfr_init(r18474);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18464, wj, MPFR_RNDN);
        ;
        mpfr_add(r18466, r18465, r18464, MPFR_RNDN);
        mpfr_div(r18467, r18464, r18466, MPFR_RNDN);
        mpfr_sub(r18468, r18464, r18467, MPFR_RNDN);
        mpfr_set_d(r18469, x, MPFR_RNDN);
        mpfr_exp(r18470, r18464, MPFR_RNDN);
        mpfr_mul(r18471, r18464, r18470, MPFR_RNDN);
        mpfr_add(r18472, r18470, r18471, MPFR_RNDN);
        mpfr_div(r18473, r18469, r18472, MPFR_RNDN);
        mpfr_add(r18474, r18468, r18473, MPFR_RNDN);
        return mpfr_get_d(r18474, MPFR_RNDN);
}