#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 r18458 = wj;
        float r18459 = exp(r18458);
        float r18460 = r18458 * r18459;
        float r18461 = x;
        float r18462 = r18460 - r18461;
        float r18463 = r18459 + r18460;
        float r18464 = r18462 / r18463;
        float r18465 = r18458 - r18464;
        return r18465;
}

double f_id(double wj, double x) {
        double r18466 = wj;
        double r18467 = exp(r18466);
        double r18468 = r18466 * r18467;
        double r18469 = x;
        double r18470 = r18468 - r18469;
        double r18471 = r18467 + r18468;
        double r18472 = r18470 / r18471;
        double r18473 = r18466 - r18472;
        return r18473;
}


double f_of(float wj, float x) {
        float r18474 = wj;
        float r18475 = 1.0f;
        float r18476 = r18475 + r18474;
        float r18477 = r18474 / r18476;
        float r18478 = r18474 - r18477;
        float r18479 = x;
        float r18480 = exp(r18474);
        float r18481 = r18474 * r18480;
        float r18482 = r18480 + r18481;
        float r18483 = r18479 / r18482;
        float r18484 = r18478 + r18483;
        return r18484;
}

double f_od(double wj, double x) {
        double r18485 = wj;
        double r18486 = 1.0;
        double r18487 = r18486 + r18485;
        double r18488 = r18485 / r18487;
        double r18489 = r18485 - r18488;
        double r18490 = x;
        double r18491 = exp(r18485);
        double r18492 = r18485 * r18491;
        double r18493 = r18491 + r18492;
        double r18494 = r18490 / r18493;
        double r18495 = r18489 + r18494;
        return r18495;
}

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 r18496, r18497, r18498, r18499, r18500, r18501, r18502, r18503;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18496);
        mpfr_init(r18497);
        mpfr_init(r18498);
        mpfr_init(r18499);
        mpfr_init(r18500);
        mpfr_init(r18501);
        mpfr_init(r18502);
        mpfr_init(r18503);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18496, wj, MPFR_RNDN);
        mpfr_exp(r18497, r18496, MPFR_RNDN);
        mpfr_mul(r18498, r18496, r18497, MPFR_RNDN);
        mpfr_set_d(r18499, x, MPFR_RNDN);
        mpfr_sub(r18500, r18498, r18499, MPFR_RNDN);
        mpfr_add(r18501, r18497, r18498, MPFR_RNDN);
        mpfr_div(r18502, r18500, r18501, MPFR_RNDN);
        mpfr_sub(r18503, r18496, r18502, MPFR_RNDN);
        return mpfr_get_d(r18503, MPFR_RNDN);
}

static mpfr_t r18504, r18505, r18506, r18507, r18508, r18509, r18510, r18511, r18512, r18513, r18514;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18504);
        mpfr_init_set_str(r18505, "1", 10, MPFR_RNDN);
        mpfr_init(r18506);
        mpfr_init(r18507);
        mpfr_init(r18508);
        mpfr_init(r18509);
        mpfr_init(r18510);
        mpfr_init(r18511);
        mpfr_init(r18512);
        mpfr_init(r18513);
        mpfr_init(r18514);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18504, wj, MPFR_RNDN);
        ;
        mpfr_add(r18506, r18505, r18504, MPFR_RNDN);
        mpfr_div(r18507, r18504, r18506, MPFR_RNDN);
        mpfr_sub(r18508, r18504, r18507, MPFR_RNDN);
        mpfr_set_d(r18509, x, MPFR_RNDN);
        mpfr_exp(r18510, r18504, MPFR_RNDN);
        mpfr_mul(r18511, r18504, r18510, MPFR_RNDN);
        mpfr_add(r18512, r18510, r18511, MPFR_RNDN);
        mpfr_div(r18513, r18509, r18512, MPFR_RNDN);
        mpfr_add(r18514, r18508, r18513, MPFR_RNDN);
        return mpfr_get_d(r18514, MPFR_RNDN);
}

static mpfr_t r18515, r18516, r18517, r18518, r18519, r18520, r18521, r18522, r18523, r18524, r18525;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18515);
        mpfr_init_set_str(r18516, "1", 10, MPFR_RNDN);
        mpfr_init(r18517);
        mpfr_init(r18518);
        mpfr_init(r18519);
        mpfr_init(r18520);
        mpfr_init(r18521);
        mpfr_init(r18522);
        mpfr_init(r18523);
        mpfr_init(r18524);
        mpfr_init(r18525);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18515, wj, MPFR_RNDN);
        ;
        mpfr_add(r18517, r18516, r18515, MPFR_RNDN);
        mpfr_div(r18518, r18515, r18517, MPFR_RNDN);
        mpfr_sub(r18519, r18515, r18518, MPFR_RNDN);
        mpfr_set_d(r18520, x, MPFR_RNDN);
        mpfr_exp(r18521, r18515, MPFR_RNDN);
        mpfr_mul(r18522, r18515, r18521, MPFR_RNDN);
        mpfr_add(r18523, r18521, r18522, MPFR_RNDN);
        mpfr_div(r18524, r18520, r18523, MPFR_RNDN);
        mpfr_add(r18525, r18519, r18524, MPFR_RNDN);
        return mpfr_get_d(r18525, MPFR_RNDN);
}