#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 r18839 = wj;
        float r18840 = exp(r18839);
        float r18841 = r18839 * r18840;
        float r18842 = x;
        float r18843 = r18841 - r18842;
        float r18844 = r18840 + r18841;
        float r18845 = r18843 / r18844;
        float r18846 = r18839 - r18845;
        return r18846;
}

double f_id(double wj, double x) {
        double r18847 = wj;
        double r18848 = exp(r18847);
        double r18849 = r18847 * r18848;
        double r18850 = x;
        double r18851 = r18849 - r18850;
        double r18852 = r18848 + r18849;
        double r18853 = r18851 / r18852;
        double r18854 = r18847 - r18853;
        return r18854;
}


double f_of(float wj, float x) {
        float r18855 = wj;
        float r18856 = 1.0f;
        float r18857 = r18856 + r18855;
        float r18858 = r18855 / r18857;
        float r18859 = r18855 - r18858;
        float r18860 = x;
        float r18861 = exp(r18855);
        float r18862 = r18855 * r18861;
        float r18863 = r18861 + r18862;
        float r18864 = r18860 / r18863;
        float r18865 = r18859 + r18864;
        return r18865;
}

double f_od(double wj, double x) {
        double r18866 = wj;
        double r18867 = 1.0;
        double r18868 = r18867 + r18866;
        double r18869 = r18866 / r18868;
        double r18870 = r18866 - r18869;
        double r18871 = x;
        double r18872 = exp(r18866);
        double r18873 = r18866 * r18872;
        double r18874 = r18872 + r18873;
        double r18875 = r18871 / r18874;
        double r18876 = r18870 + r18875;
        return r18876;
}

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 r18877, r18878, r18879, r18880, r18881, r18882, r18883, r18884;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18877);
        mpfr_init(r18878);
        mpfr_init(r18879);
        mpfr_init(r18880);
        mpfr_init(r18881);
        mpfr_init(r18882);
        mpfr_init(r18883);
        mpfr_init(r18884);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18877, wj, MPFR_RNDN);
        mpfr_exp(r18878, r18877, MPFR_RNDN);
        mpfr_mul(r18879, r18877, r18878, MPFR_RNDN);
        mpfr_set_d(r18880, x, MPFR_RNDN);
        mpfr_sub(r18881, r18879, r18880, MPFR_RNDN);
        mpfr_add(r18882, r18878, r18879, MPFR_RNDN);
        mpfr_div(r18883, r18881, r18882, MPFR_RNDN);
        mpfr_sub(r18884, r18877, r18883, MPFR_RNDN);
        return mpfr_get_d(r18884, MPFR_RNDN);
}

static mpfr_t r18885, r18886, r18887, r18888, r18889, r18890, r18891, r18892, r18893, r18894, r18895;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18885);
        mpfr_init_set_str(r18886, "1", 10, MPFR_RNDN);
        mpfr_init(r18887);
        mpfr_init(r18888);
        mpfr_init(r18889);
        mpfr_init(r18890);
        mpfr_init(r18891);
        mpfr_init(r18892);
        mpfr_init(r18893);
        mpfr_init(r18894);
        mpfr_init(r18895);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18885, wj, MPFR_RNDN);
        ;
        mpfr_add(r18887, r18886, r18885, MPFR_RNDN);
        mpfr_div(r18888, r18885, r18887, MPFR_RNDN);
        mpfr_sub(r18889, r18885, r18888, MPFR_RNDN);
        mpfr_set_d(r18890, x, MPFR_RNDN);
        mpfr_exp(r18891, r18885, MPFR_RNDN);
        mpfr_mul(r18892, r18885, r18891, MPFR_RNDN);
        mpfr_add(r18893, r18891, r18892, MPFR_RNDN);
        mpfr_div(r18894, r18890, r18893, MPFR_RNDN);
        mpfr_add(r18895, r18889, r18894, MPFR_RNDN);
        return mpfr_get_d(r18895, MPFR_RNDN);
}

static mpfr_t r18896, r18897, r18898, r18899, r18900, r18901, r18902, r18903, r18904, r18905, r18906;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18896);
        mpfr_init_set_str(r18897, "1", 10, MPFR_RNDN);
        mpfr_init(r18898);
        mpfr_init(r18899);
        mpfr_init(r18900);
        mpfr_init(r18901);
        mpfr_init(r18902);
        mpfr_init(r18903);
        mpfr_init(r18904);
        mpfr_init(r18905);
        mpfr_init(r18906);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18896, wj, MPFR_RNDN);
        ;
        mpfr_add(r18898, r18897, r18896, MPFR_RNDN);
        mpfr_div(r18899, r18896, r18898, MPFR_RNDN);
        mpfr_sub(r18900, r18896, r18899, MPFR_RNDN);
        mpfr_set_d(r18901, x, MPFR_RNDN);
        mpfr_exp(r18902, r18896, MPFR_RNDN);
        mpfr_mul(r18903, r18896, r18902, MPFR_RNDN);
        mpfr_add(r18904, r18902, r18903, MPFR_RNDN);
        mpfr_div(r18905, r18901, r18904, MPFR_RNDN);
        mpfr_add(r18906, r18900, r18905, MPFR_RNDN);
        return mpfr_get_d(r18906, MPFR_RNDN);
}