#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 r18462 = wj;
        float r18463 = exp(r18462);
        float r18464 = r18462 * r18463;
        float r18465 = x;
        float r18466 = r18464 - r18465;
        float r18467 = r18463 + r18464;
        float r18468 = r18466 / r18467;
        float r18469 = r18462 - r18468;
        return r18469;
}

double f_id(double wj, double x) {
        double r18470 = wj;
        double r18471 = exp(r18470);
        double r18472 = r18470 * r18471;
        double r18473 = x;
        double r18474 = r18472 - r18473;
        double r18475 = r18471 + r18472;
        double r18476 = r18474 / r18475;
        double r18477 = r18470 - r18476;
        return r18477;
}


double f_of(float wj, float x) {
        float r18478 = wj;
        float r18479 = 1.0f;
        float r18480 = r18479 + r18478;
        float r18481 = r18478 / r18480;
        float r18482 = r18478 - r18481;
        float r18483 = x;
        float r18484 = exp(r18478);
        float r18485 = r18478 * r18484;
        float r18486 = r18484 + r18485;
        float r18487 = r18483 / r18486;
        float r18488 = r18482 + r18487;
        return r18488;
}

double f_od(double wj, double x) {
        double r18489 = wj;
        double r18490 = 1.0;
        double r18491 = r18490 + r18489;
        double r18492 = r18489 / r18491;
        double r18493 = r18489 - r18492;
        double r18494 = x;
        double r18495 = exp(r18489);
        double r18496 = r18489 * r18495;
        double r18497 = r18495 + r18496;
        double r18498 = r18494 / r18497;
        double r18499 = r18493 + r18498;
        return r18499;
}

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 r18500, r18501, r18502, r18503, r18504, r18505, r18506, r18507;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18500);
        mpfr_init(r18501);
        mpfr_init(r18502);
        mpfr_init(r18503);
        mpfr_init(r18504);
        mpfr_init(r18505);
        mpfr_init(r18506);
        mpfr_init(r18507);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18500, wj, MPFR_RNDN);
        mpfr_exp(r18501, r18500, MPFR_RNDN);
        mpfr_mul(r18502, r18500, r18501, MPFR_RNDN);
        mpfr_set_d(r18503, x, MPFR_RNDN);
        mpfr_sub(r18504, r18502, r18503, MPFR_RNDN);
        mpfr_add(r18505, r18501, r18502, MPFR_RNDN);
        mpfr_div(r18506, r18504, r18505, MPFR_RNDN);
        mpfr_sub(r18507, r18500, r18506, MPFR_RNDN);
        return mpfr_get_d(r18507, MPFR_RNDN);
}

static mpfr_t r18508, r18509, r18510, r18511, r18512, r18513, r18514, r18515, r18516, r18517, r18518;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18508);
        mpfr_init_set_str(r18509, "1", 10, MPFR_RNDN);
        mpfr_init(r18510);
        mpfr_init(r18511);
        mpfr_init(r18512);
        mpfr_init(r18513);
        mpfr_init(r18514);
        mpfr_init(r18515);
        mpfr_init(r18516);
        mpfr_init(r18517);
        mpfr_init(r18518);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18508, wj, MPFR_RNDN);
        ;
        mpfr_add(r18510, r18509, r18508, MPFR_RNDN);
        mpfr_div(r18511, r18508, r18510, MPFR_RNDN);
        mpfr_sub(r18512, r18508, r18511, MPFR_RNDN);
        mpfr_set_d(r18513, x, MPFR_RNDN);
        mpfr_exp(r18514, r18508, MPFR_RNDN);
        mpfr_mul(r18515, r18508, r18514, MPFR_RNDN);
        mpfr_add(r18516, r18514, r18515, MPFR_RNDN);
        mpfr_div(r18517, r18513, r18516, MPFR_RNDN);
        mpfr_add(r18518, r18512, r18517, MPFR_RNDN);
        return mpfr_get_d(r18518, MPFR_RNDN);
}

static mpfr_t r18519, r18520, r18521, r18522, r18523, r18524, r18525, r18526, r18527, r18528, r18529;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18519);
        mpfr_init_set_str(r18520, "1", 10, MPFR_RNDN);
        mpfr_init(r18521);
        mpfr_init(r18522);
        mpfr_init(r18523);
        mpfr_init(r18524);
        mpfr_init(r18525);
        mpfr_init(r18526);
        mpfr_init(r18527);
        mpfr_init(r18528);
        mpfr_init(r18529);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18519, wj, MPFR_RNDN);
        ;
        mpfr_add(r18521, r18520, r18519, MPFR_RNDN);
        mpfr_div(r18522, r18519, r18521, MPFR_RNDN);
        mpfr_sub(r18523, r18519, r18522, MPFR_RNDN);
        mpfr_set_d(r18524, x, MPFR_RNDN);
        mpfr_exp(r18525, r18519, MPFR_RNDN);
        mpfr_mul(r18526, r18519, r18525, MPFR_RNDN);
        mpfr_add(r18527, r18525, r18526, MPFR_RNDN);
        mpfr_div(r18528, r18524, r18527, MPFR_RNDN);
        mpfr_add(r18529, r18523, r18528, MPFR_RNDN);
        return mpfr_get_d(r18529, MPFR_RNDN);
}