#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 r25730 = wj;
        float r25731 = exp(r25730);
        float r25732 = r25730 * r25731;
        float r25733 = x;
        float r25734 = r25732 - r25733;
        float r25735 = r25731 + r25732;
        float r25736 = r25734 / r25735;
        float r25737 = r25730 - r25736;
        return r25737;
}

double f_id(double wj, double x) {
        double r25738 = wj;
        double r25739 = exp(r25738);
        double r25740 = r25738 * r25739;
        double r25741 = x;
        double r25742 = r25740 - r25741;
        double r25743 = r25739 + r25740;
        double r25744 = r25742 / r25743;
        double r25745 = r25738 - r25744;
        return r25745;
}


double f_of(float wj, float x) {
        float r25746 = wj;
        float r25747 = exp(r25746);
        float r25748 = r25746 * r25747;
        float r25749 = x;
        float r25750 = r25748 - r25749;
        float r25751 = r25747 + r25748;
        float r25752 = r25750 / r25751;
        float r25753 = r25746 - r25752;
        float r25754 = 2.2094662316418234e-14;
        bool r25755 = r25753 <= r25754;
        float r25756 = 2;
        float r25757 = r25749 * r25756;
        float r25758 = -r25746;
        float r25759 = fma(r25746, r25746, r25749);
        float r25760 = fma(r25757, r25758, r25759);
        float r25761 = 1;
        float r25762 = r25761 + r25746;
        float r25763 = r25746 / r25762;
        float r25764 = r25746 - r25763;
        float r25765 = r25749 / r25751;
        float r25766 = r25764 + r25765;
        float r25767 = r25755 ? r25760 : r25766;
        return r25767;
}

double f_od(double wj, double x) {
        double r25768 = wj;
        double r25769 = exp(r25768);
        double r25770 = r25768 * r25769;
        double r25771 = x;
        double r25772 = r25770 - r25771;
        double r25773 = r25769 + r25770;
        double r25774 = r25772 / r25773;
        double r25775 = r25768 - r25774;
        double r25776 = 2.2094662316418234e-14;
        bool r25777 = r25775 <= r25776;
        double r25778 = 2;
        double r25779 = r25771 * r25778;
        double r25780 = -r25768;
        double r25781 = fma(r25768, r25768, r25771);
        double r25782 = fma(r25779, r25780, r25781);
        double r25783 = 1;
        double r25784 = r25783 + r25768;
        double r25785 = r25768 / r25784;
        double r25786 = r25768 - r25785;
        double r25787 = r25771 / r25773;
        double r25788 = r25786 + r25787;
        double r25789 = r25777 ? r25782 : r25788;
        return r25789;
}

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 r25790, r25791, r25792, r25793, r25794, r25795, r25796, r25797;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(848);
        mpfr_init(r25790);
        mpfr_init(r25791);
        mpfr_init(r25792);
        mpfr_init(r25793);
        mpfr_init(r25794);
        mpfr_init(r25795);
        mpfr_init(r25796);
        mpfr_init(r25797);
}

double f_im(double wj, double x) {
        mpfr_set_d(r25790, wj, MPFR_RNDN);
        mpfr_exp(r25791, r25790, MPFR_RNDN);
        mpfr_mul(r25792, r25790, r25791, MPFR_RNDN);
        mpfr_set_d(r25793, x, MPFR_RNDN);
        mpfr_sub(r25794, r25792, r25793, MPFR_RNDN);
        mpfr_add(r25795, r25791, r25792, MPFR_RNDN);
        mpfr_div(r25796, r25794, r25795, MPFR_RNDN);
        mpfr_sub(r25797, r25790, r25796, MPFR_RNDN);
        return mpfr_get_d(r25797, MPFR_RNDN);
}

static mpfr_t r25798, r25799, r25800, r25801, r25802, r25803, r25804, r25805, r25806, r25807, r25808, r25809, r25810, r25811, r25812, r25813, r25814, r25815, r25816, r25817, r25818, r25819;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(848);
        mpfr_init(r25798);
        mpfr_init(r25799);
        mpfr_init(r25800);
        mpfr_init(r25801);
        mpfr_init(r25802);
        mpfr_init(r25803);
        mpfr_init(r25804);
        mpfr_init(r25805);
        mpfr_init_set_str(r25806, "2.2094662316418234e-14", 10, MPFR_RNDN);
        mpfr_init(r25807);
        mpfr_init_set_str(r25808, "2", 10, MPFR_RNDN);
        mpfr_init(r25809);
        mpfr_init(r25810);
        mpfr_init(r25811);
        mpfr_init(r25812);
        mpfr_init_set_str(r25813, "1", 10, MPFR_RNDN);
        mpfr_init(r25814);
        mpfr_init(r25815);
        mpfr_init(r25816);
        mpfr_init(r25817);
        mpfr_init(r25818);
        mpfr_init(r25819);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r25798, wj, MPFR_RNDN);
        mpfr_exp(r25799, r25798, MPFR_RNDN);
        mpfr_mul(r25800, r25798, r25799, MPFR_RNDN);
        mpfr_set_d(r25801, x, MPFR_RNDN);
        mpfr_sub(r25802, r25800, r25801, MPFR_RNDN);
        mpfr_add(r25803, r25799, r25800, MPFR_RNDN);
        mpfr_div(r25804, r25802, r25803, MPFR_RNDN);
        mpfr_sub(r25805, r25798, r25804, MPFR_RNDN);
        ;
        mpfr_set_si(r25807, mpfr_cmp(r25805, r25806) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r25809, r25801, r25808, MPFR_RNDN);
        mpfr_neg(r25810, r25798, MPFR_RNDN);
        mpfr_fma(r25811, r25798, r25798, r25801, MPFR_RNDN);
        mpfr_fma(r25812, r25809, r25810, r25811, MPFR_RNDN);
        ;
        mpfr_add(r25814, r25813, r25798, MPFR_RNDN);
        mpfr_div(r25815, r25798, r25814, MPFR_RNDN);
        mpfr_sub(r25816, r25798, r25815, MPFR_RNDN);
        mpfr_div(r25817, r25801, r25803, MPFR_RNDN);
        mpfr_add(r25818, r25816, r25817, MPFR_RNDN);
        if (mpfr_get_si(r25807, MPFR_RNDN)) { mpfr_set(r25819, r25812, MPFR_RNDN); } else { mpfr_set(r25819, r25818, MPFR_RNDN); };
        return mpfr_get_d(r25819, MPFR_RNDN);
}

static mpfr_t r25820, r25821, r25822, r25823, r25824, r25825, r25826, r25827, r25828, r25829, r25830, r25831, r25832, r25833, r25834, r25835, r25836, r25837, r25838, r25839, r25840, r25841;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(848);
        mpfr_init(r25820);
        mpfr_init(r25821);
        mpfr_init(r25822);
        mpfr_init(r25823);
        mpfr_init(r25824);
        mpfr_init(r25825);
        mpfr_init(r25826);
        mpfr_init(r25827);
        mpfr_init_set_str(r25828, "2.2094662316418234e-14", 10, MPFR_RNDN);
        mpfr_init(r25829);
        mpfr_init_set_str(r25830, "2", 10, MPFR_RNDN);
        mpfr_init(r25831);
        mpfr_init(r25832);
        mpfr_init(r25833);
        mpfr_init(r25834);
        mpfr_init_set_str(r25835, "1", 10, MPFR_RNDN);
        mpfr_init(r25836);
        mpfr_init(r25837);
        mpfr_init(r25838);
        mpfr_init(r25839);
        mpfr_init(r25840);
        mpfr_init(r25841);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r25820, wj, MPFR_RNDN);
        mpfr_exp(r25821, r25820, MPFR_RNDN);
        mpfr_mul(r25822, r25820, r25821, MPFR_RNDN);
        mpfr_set_d(r25823, x, MPFR_RNDN);
        mpfr_sub(r25824, r25822, r25823, MPFR_RNDN);
        mpfr_add(r25825, r25821, r25822, MPFR_RNDN);
        mpfr_div(r25826, r25824, r25825, MPFR_RNDN);
        mpfr_sub(r25827, r25820, r25826, MPFR_RNDN);
        ;
        mpfr_set_si(r25829, mpfr_cmp(r25827, r25828) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r25831, r25823, r25830, MPFR_RNDN);
        mpfr_neg(r25832, r25820, MPFR_RNDN);
        mpfr_fma(r25833, r25820, r25820, r25823, MPFR_RNDN);
        mpfr_fma(r25834, r25831, r25832, r25833, MPFR_RNDN);
        ;
        mpfr_add(r25836, r25835, r25820, MPFR_RNDN);
        mpfr_div(r25837, r25820, r25836, MPFR_RNDN);
        mpfr_sub(r25838, r25820, r25837, MPFR_RNDN);
        mpfr_div(r25839, r25823, r25825, MPFR_RNDN);
        mpfr_add(r25840, r25838, r25839, MPFR_RNDN);
        if (mpfr_get_si(r25829, MPFR_RNDN)) { mpfr_set(r25841, r25834, MPFR_RNDN); } else { mpfr_set(r25841, r25840, MPFR_RNDN); };
        return mpfr_get_d(r25841, MPFR_RNDN);
}