#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 = r18855 * r18855;
        float r18857 = r18855 - r18856;
        float r18858 = x;
        float r18859 = exp(r18855);
        float r18860 = fma(r18855, r18859, r18859);
        float r18861 = r18858 / r18860;
        float r18862 = fma(r18855, r18857, r18861);
        return r18862;
}

double f_od(double wj, double x) {
        double r18863 = wj;
        double r18864 = r18863 * r18863;
        double r18865 = r18863 - r18864;
        double r18866 = x;
        double r18867 = exp(r18863);
        double r18868 = fma(r18863, r18867, r18867);
        double r18869 = r18866 / r18868;
        double r18870 = fma(r18863, r18865, r18869);
        return r18870;
}

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 r18871, r18872, r18873, r18874, r18875, r18876, r18877, r18878;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18871);
        mpfr_init(r18872);
        mpfr_init(r18873);
        mpfr_init(r18874);
        mpfr_init(r18875);
        mpfr_init(r18876);
        mpfr_init(r18877);
        mpfr_init(r18878);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18871, wj, MPFR_RNDN);
        mpfr_exp(r18872, r18871, MPFR_RNDN);
        mpfr_mul(r18873, r18871, r18872, MPFR_RNDN);
        mpfr_set_d(r18874, x, MPFR_RNDN);
        mpfr_sub(r18875, r18873, r18874, MPFR_RNDN);
        mpfr_add(r18876, r18872, r18873, MPFR_RNDN);
        mpfr_div(r18877, r18875, r18876, MPFR_RNDN);
        mpfr_sub(r18878, r18871, r18877, MPFR_RNDN);
        return mpfr_get_d(r18878, MPFR_RNDN);
}

static mpfr_t r18879, r18880, r18881, r18882, r18883, r18884, r18885, r18886;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18879);
        mpfr_init(r18880);
        mpfr_init(r18881);
        mpfr_init(r18882);
        mpfr_init(r18883);
        mpfr_init(r18884);
        mpfr_init(r18885);
        mpfr_init(r18886);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18879, wj, MPFR_RNDN);
        mpfr_sqr(r18880, r18879, MPFR_RNDN);
        mpfr_sub(r18881, r18879, r18880, MPFR_RNDN);
        mpfr_set_d(r18882, x, MPFR_RNDN);
        mpfr_exp(r18883, r18879, MPFR_RNDN);
        mpfr_fma(r18884, r18879, r18883, r18883, MPFR_RNDN);
        mpfr_div(r18885, r18882, r18884, MPFR_RNDN);
        mpfr_fma(r18886, r18879, r18881, r18885, MPFR_RNDN);
        return mpfr_get_d(r18886, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18887);
        mpfr_init(r18888);
        mpfr_init(r18889);
        mpfr_init(r18890);
        mpfr_init(r18891);
        mpfr_init(r18892);
        mpfr_init(r18893);
        mpfr_init(r18894);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18887, wj, MPFR_RNDN);
        mpfr_sqr(r18888, r18887, MPFR_RNDN);
        mpfr_sub(r18889, r18887, r18888, MPFR_RNDN);
        mpfr_set_d(r18890, x, MPFR_RNDN);
        mpfr_exp(r18891, r18887, MPFR_RNDN);
        mpfr_fma(r18892, r18887, r18891, r18891, MPFR_RNDN);
        mpfr_div(r18893, r18890, r18892, MPFR_RNDN);
        mpfr_fma(r18894, r18887, r18889, r18893, MPFR_RNDN);
        return mpfr_get_d(r18894, MPFR_RNDN);
}