#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 r20643 = wj;
        float r20644 = exp(r20643);
        float r20645 = r20643 * r20644;
        float r20646 = x;
        float r20647 = r20645 - r20646;
        float r20648 = r20644 + r20645;
        float r20649 = r20647 / r20648;
        float r20650 = r20643 - r20649;
        return r20650;
}

double f_id(double wj, double x) {
        double r20651 = wj;
        double r20652 = exp(r20651);
        double r20653 = r20651 * r20652;
        double r20654 = x;
        double r20655 = r20653 - r20654;
        double r20656 = r20652 + r20653;
        double r20657 = r20655 / r20656;
        double r20658 = r20651 - r20657;
        return r20658;
}


double f_of(float wj, float x) {
        float r20659 = wj;
        float r20660 = exp(r20659);
        float r20661 = r20659 * r20660;
        float r20662 = x;
        float r20663 = r20661 - r20662;
        float r20664 = r20660 + r20661;
        float r20665 = r20663 / r20664;
        float r20666 = r20659 - r20665;
        float r20667 = 1.211676009858961e-11f;
        bool r20668 = r20666 <= r20667;
        float r20669 = 4.0f;
        float r20670 = pow(r20659, r20669);
        float r20671 = r20659 * r20659;
        float r20672 = r20659 * (r20659 * r20659);
        float r20673 = r20671 - r20672;
        float r20674 = r20670 + r20673;
        float r20675 = 1.0f;
        float r20676 = r20675 + r20659;
        float r20677 = r20660 * r20676;
        float r20678 = r20662 / r20677;
        float r20679 = r20674 + r20678;
        float r20680 = r20659 / r20676;
        float r20681 = r20659 - r20680;
        float r20682 = r20662 / r20664;
        float r20683 = r20681 + r20682;
        float r20684 = r20668 ? r20679 : r20683;
        return r20684;
}

double f_od(double wj, double x) {
        double r20685 = wj;
        double r20686 = exp(r20685);
        double r20687 = r20685 * r20686;
        double r20688 = x;
        double r20689 = r20687 - r20688;
        double r20690 = r20686 + r20687;
        double r20691 = r20689 / r20690;
        double r20692 = r20685 - r20691;
        double r20693 = 1.211676009858961e-11;
        bool r20694 = r20692 <= r20693;
        double r20695 = 4.0;
        double r20696 = pow(r20685, r20695);
        double r20697 = r20685 * r20685;
        double r20698 = r20685 * (r20685 * r20685);
        double r20699 = r20697 - r20698;
        double r20700 = r20696 + r20699;
        double r20701 = 1.0;
        double r20702 = r20701 + r20685;
        double r20703 = r20686 * r20702;
        double r20704 = r20688 / r20703;
        double r20705 = r20700 + r20704;
        double r20706 = r20685 / r20702;
        double r20707 = r20685 - r20706;
        double r20708 = r20688 / r20690;
        double r20709 = r20707 + r20708;
        double r20710 = r20694 ? r20705 : r20709;
        return r20710;
}

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 r20711, r20712, r20713, r20714, r20715, r20716, r20717, r20718;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20711);
        mpfr_init(r20712);
        mpfr_init(r20713);
        mpfr_init(r20714);
        mpfr_init(r20715);
        mpfr_init(r20716);
        mpfr_init(r20717);
        mpfr_init(r20718);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20711, wj, MPFR_RNDN);
        mpfr_exp(r20712, r20711, MPFR_RNDN);
        mpfr_mul(r20713, r20711, r20712, MPFR_RNDN);
        mpfr_set_d(r20714, x, MPFR_RNDN);
        mpfr_sub(r20715, r20713, r20714, MPFR_RNDN);
        mpfr_add(r20716, r20712, r20713, MPFR_RNDN);
        mpfr_div(r20717, r20715, r20716, MPFR_RNDN);
        mpfr_sub(r20718, r20711, r20717, MPFR_RNDN);
        return mpfr_get_d(r20718, MPFR_RNDN);
}

static mpfr_t r20719, r20720, r20721, r20722, r20723, r20724, r20725, r20726, r20727, r20728, r20729, r20730, r20731, r20732, r20733, r20734, r20735, r20736, r20737, r20738, r20739, r20740, r20741, r20742, r20743, r20744;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20719);
        mpfr_init(r20720);
        mpfr_init(r20721);
        mpfr_init(r20722);
        mpfr_init(r20723);
        mpfr_init(r20724);
        mpfr_init(r20725);
        mpfr_init(r20726);
        mpfr_init_set_str(r20727, "1.211676009858961e-11", 10, MPFR_RNDN);
        mpfr_init(r20728);
        mpfr_init_set_str(r20729, "4", 10, MPFR_RNDN);
        mpfr_init(r20730);
        mpfr_init(r20731);
        mpfr_init(r20732);
        mpfr_init(r20733);
        mpfr_init(r20734);
        mpfr_init_set_str(r20735, "1", 10, MPFR_RNDN);
        mpfr_init(r20736);
        mpfr_init(r20737);
        mpfr_init(r20738);
        mpfr_init(r20739);
        mpfr_init(r20740);
        mpfr_init(r20741);
        mpfr_init(r20742);
        mpfr_init(r20743);
        mpfr_init(r20744);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20719, wj, MPFR_RNDN);
        mpfr_exp(r20720, r20719, MPFR_RNDN);
        mpfr_mul(r20721, r20719, r20720, MPFR_RNDN);
        mpfr_set_d(r20722, x, MPFR_RNDN);
        mpfr_sub(r20723, r20721, r20722, MPFR_RNDN);
        mpfr_add(r20724, r20720, r20721, MPFR_RNDN);
        mpfr_div(r20725, r20723, r20724, MPFR_RNDN);
        mpfr_sub(r20726, r20719, r20725, MPFR_RNDN);
        ;
        mpfr_set_si(r20728, mpfr_cmp(r20726, r20727) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r20730, r20719, r20729, MPFR_RNDN);
        mpfr_sqr(r20731, r20719, MPFR_RNDN);
        mpfr_mul(r20732, r20719, r20719, MPFR_RNDN); mpfr_mul(r20732, r20732, r20719, MPFR_RNDN);
        mpfr_sub(r20733, r20731, r20732, MPFR_RNDN);
        mpfr_add(r20734, r20730, r20733, MPFR_RNDN);
        ;
        mpfr_add(r20736, r20735, r20719, MPFR_RNDN);
        mpfr_mul(r20737, r20720, r20736, MPFR_RNDN);
        mpfr_div(r20738, r20722, r20737, MPFR_RNDN);
        mpfr_add(r20739, r20734, r20738, MPFR_RNDN);
        mpfr_div(r20740, r20719, r20736, MPFR_RNDN);
        mpfr_sub(r20741, r20719, r20740, MPFR_RNDN);
        mpfr_div(r20742, r20722, r20724, MPFR_RNDN);
        mpfr_add(r20743, r20741, r20742, MPFR_RNDN);
        if (mpfr_get_si(r20728, MPFR_RNDN)) { mpfr_set(r20744, r20739, MPFR_RNDN); } else { mpfr_set(r20744, r20743, MPFR_RNDN); };
        return mpfr_get_d(r20744, MPFR_RNDN);
}

static mpfr_t r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752, r20753, r20754, r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20745);
        mpfr_init(r20746);
        mpfr_init(r20747);
        mpfr_init(r20748);
        mpfr_init(r20749);
        mpfr_init(r20750);
        mpfr_init(r20751);
        mpfr_init(r20752);
        mpfr_init_set_str(r20753, "1.211676009858961e-11", 10, MPFR_RNDN);
        mpfr_init(r20754);
        mpfr_init_set_str(r20755, "4", 10, MPFR_RNDN);
        mpfr_init(r20756);
        mpfr_init(r20757);
        mpfr_init(r20758);
        mpfr_init(r20759);
        mpfr_init(r20760);
        mpfr_init_set_str(r20761, "1", 10, MPFR_RNDN);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init(r20767);
        mpfr_init(r20768);
        mpfr_init(r20769);
        mpfr_init(r20770);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20745, wj, MPFR_RNDN);
        mpfr_exp(r20746, r20745, MPFR_RNDN);
        mpfr_mul(r20747, r20745, r20746, MPFR_RNDN);
        mpfr_set_d(r20748, x, MPFR_RNDN);
        mpfr_sub(r20749, r20747, r20748, MPFR_RNDN);
        mpfr_add(r20750, r20746, r20747, MPFR_RNDN);
        mpfr_div(r20751, r20749, r20750, MPFR_RNDN);
        mpfr_sub(r20752, r20745, r20751, MPFR_RNDN);
        ;
        mpfr_set_si(r20754, mpfr_cmp(r20752, r20753) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r20756, r20745, r20755, MPFR_RNDN);
        mpfr_sqr(r20757, r20745, MPFR_RNDN);
        mpfr_mul(r20758, r20745, r20745, MPFR_RNDN); mpfr_mul(r20758, r20758, r20745, MPFR_RNDN);
        mpfr_sub(r20759, r20757, r20758, MPFR_RNDN);
        mpfr_add(r20760, r20756, r20759, MPFR_RNDN);
        ;
        mpfr_add(r20762, r20761, r20745, MPFR_RNDN);
        mpfr_mul(r20763, r20746, r20762, MPFR_RNDN);
        mpfr_div(r20764, r20748, r20763, MPFR_RNDN);
        mpfr_add(r20765, r20760, r20764, MPFR_RNDN);
        mpfr_div(r20766, r20745, r20762, MPFR_RNDN);
        mpfr_sub(r20767, r20745, r20766, MPFR_RNDN);
        mpfr_div(r20768, r20748, r20750, MPFR_RNDN);
        mpfr_add(r20769, r20767, r20768, MPFR_RNDN);
        if (mpfr_get_si(r20754, MPFR_RNDN)) { mpfr_set(r20770, r20765, MPFR_RNDN); } else { mpfr_set(r20770, r20769, MPFR_RNDN); };
        return mpfr_get_d(r20770, MPFR_RNDN);
}