#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 r23789 = wj;
        float r23790 = exp(r23789);
        float r23791 = r23789 * r23790;
        float r23792 = x;
        float r23793 = r23791 - r23792;
        float r23794 = r23790 + r23791;
        float r23795 = r23793 / r23794;
        float r23796 = r23789 - r23795;
        return r23796;
}

double f_id(double wj, double x) {
        double r23797 = wj;
        double r23798 = exp(r23797);
        double r23799 = r23797 * r23798;
        double r23800 = x;
        double r23801 = r23799 - r23800;
        double r23802 = r23798 + r23799;
        double r23803 = r23801 / r23802;
        double r23804 = r23797 - r23803;
        return r23804;
}


double f_of(float wj, float x) {
        float r23805 = x;
        float r23806 = wj;
        float r23807 = exp(r23806);
        float r23808 = r23805 / r23807;
        float r23809 = 1;
        float r23810 = r23809 + r23806;
        float r23811 = r23808 / r23810;
        float r23812 = r23806 * r23806;
        float r23813 = 3;
        float r23814 = pow(r23806, r23813);
        float r23815 = r23812 - r23814;
        float r23816 = r23811 + r23815;
        return r23816;
}

double f_od(double wj, double x) {
        double r23817 = x;
        double r23818 = wj;
        double r23819 = exp(r23818);
        double r23820 = r23817 / r23819;
        double r23821 = 1;
        double r23822 = r23821 + r23818;
        double r23823 = r23820 / r23822;
        double r23824 = r23818 * r23818;
        double r23825 = 3;
        double r23826 = pow(r23818, r23825);
        double r23827 = r23824 - r23826;
        double r23828 = r23823 + r23827;
        return r23828;
}

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 r23829, r23830, r23831, r23832, r23833, r23834, r23835, r23836;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r23829);
        mpfr_init(r23830);
        mpfr_init(r23831);
        mpfr_init(r23832);
        mpfr_init(r23833);
        mpfr_init(r23834);
        mpfr_init(r23835);
        mpfr_init(r23836);
}

double f_im(double wj, double x) {
        mpfr_set_d(r23829, wj, MPFR_RNDN);
        mpfr_exp(r23830, r23829, MPFR_RNDN);
        mpfr_mul(r23831, r23829, r23830, MPFR_RNDN);
        mpfr_set_d(r23832, x, MPFR_RNDN);
        mpfr_sub(r23833, r23831, r23832, MPFR_RNDN);
        mpfr_add(r23834, r23830, r23831, MPFR_RNDN);
        mpfr_div(r23835, r23833, r23834, MPFR_RNDN);
        mpfr_sub(r23836, r23829, r23835, MPFR_RNDN);
        return mpfr_get_d(r23836, MPFR_RNDN);
}

static mpfr_t r23837, r23838, r23839, r23840, r23841, r23842, r23843, r23844, r23845, r23846, r23847, r23848;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r23837);
        mpfr_init(r23838);
        mpfr_init(r23839);
        mpfr_init(r23840);
        mpfr_init_set_str(r23841, "1", 10, MPFR_RNDN);
        mpfr_init(r23842);
        mpfr_init(r23843);
        mpfr_init(r23844);
        mpfr_init_set_str(r23845, "3", 10, MPFR_RNDN);
        mpfr_init(r23846);
        mpfr_init(r23847);
        mpfr_init(r23848);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r23837, x, MPFR_RNDN);
        mpfr_set_d(r23838, wj, MPFR_RNDN);
        mpfr_exp(r23839, r23838, MPFR_RNDN);
        mpfr_div(r23840, r23837, r23839, MPFR_RNDN);
        ;
        mpfr_add(r23842, r23841, r23838, MPFR_RNDN);
        mpfr_div(r23843, r23840, r23842, MPFR_RNDN);
        mpfr_mul(r23844, r23838, r23838, MPFR_RNDN);
        ;
        mpfr_pow(r23846, r23838, r23845, MPFR_RNDN);
        mpfr_sub(r23847, r23844, r23846, MPFR_RNDN);
        mpfr_add(r23848, r23843, r23847, MPFR_RNDN);
        return mpfr_get_d(r23848, MPFR_RNDN);
}

static mpfr_t r23849, r23850, r23851, r23852, r23853, r23854, r23855, r23856, r23857, r23858, r23859, r23860;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r23849);
        mpfr_init(r23850);
        mpfr_init(r23851);
        mpfr_init(r23852);
        mpfr_init_set_str(r23853, "1", 10, MPFR_RNDN);
        mpfr_init(r23854);
        mpfr_init(r23855);
        mpfr_init(r23856);
        mpfr_init_set_str(r23857, "3", 10, MPFR_RNDN);
        mpfr_init(r23858);
        mpfr_init(r23859);
        mpfr_init(r23860);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r23849, x, MPFR_RNDN);
        mpfr_set_d(r23850, wj, MPFR_RNDN);
        mpfr_exp(r23851, r23850, MPFR_RNDN);
        mpfr_div(r23852, r23849, r23851, MPFR_RNDN);
        ;
        mpfr_add(r23854, r23853, r23850, MPFR_RNDN);
        mpfr_div(r23855, r23852, r23854, MPFR_RNDN);
        mpfr_mul(r23856, r23850, r23850, MPFR_RNDN);
        ;
        mpfr_pow(r23858, r23850, r23857, MPFR_RNDN);
        mpfr_sub(r23859, r23856, r23858, MPFR_RNDN);
        mpfr_add(r23860, r23855, r23859, MPFR_RNDN);
        return mpfr_get_d(r23860, MPFR_RNDN);
}