#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 r18848 = wj;
        float r18849 = exp(r18848);
        float r18850 = r18848 * r18849;
        float r18851 = x;
        float r18852 = r18850 - r18851;
        float r18853 = r18849 + r18850;
        float r18854 = r18852 / r18853;
        float r18855 = r18848 - r18854;
        return r18855;
}

double f_id(double wj, double x) {
        double r18856 = wj;
        double r18857 = exp(r18856);
        double r18858 = r18856 * r18857;
        double r18859 = x;
        double r18860 = r18858 - r18859;
        double r18861 = r18857 + r18858;
        double r18862 = r18860 / r18861;
        double r18863 = r18856 - r18862;
        return r18863;
}


double f_of(float wj, float x) {
        float r18864 = wj;
        float r18865 = 1.0f;
        float r18866 = r18865 + r18864;
        float r18867 = r18864 / r18866;
        float r18868 = r18864 - r18867;
        float r18869 = x;
        float r18870 = exp(r18864);
        float r18871 = r18864 * r18870;
        float r18872 = r18870 + r18871;
        float r18873 = r18869 / r18872;
        float r18874 = r18868 + r18873;
        return r18874;
}

double f_od(double wj, double x) {
        double r18875 = wj;
        double r18876 = 1.0;
        double r18877 = r18876 + r18875;
        double r18878 = r18875 / r18877;
        double r18879 = r18875 - r18878;
        double r18880 = x;
        double r18881 = exp(r18875);
        double r18882 = r18875 * r18881;
        double r18883 = r18881 + r18882;
        double r18884 = r18880 / r18883;
        double r18885 = r18879 + r18884;
        return r18885;
}

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 r18886, r18887, r18888, r18889, r18890, r18891, r18892, r18893;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18886);
        mpfr_init(r18887);
        mpfr_init(r18888);
        mpfr_init(r18889);
        mpfr_init(r18890);
        mpfr_init(r18891);
        mpfr_init(r18892);
        mpfr_init(r18893);
}

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

static mpfr_t r18894, r18895, r18896, r18897, r18898, r18899, r18900, r18901, r18902, r18903, r18904;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18894);
        mpfr_init_set_str(r18895, "1", 10, MPFR_RNDN);
        mpfr_init(r18896);
        mpfr_init(r18897);
        mpfr_init(r18898);
        mpfr_init(r18899);
        mpfr_init(r18900);
        mpfr_init(r18901);
        mpfr_init(r18902);
        mpfr_init(r18903);
        mpfr_init(r18904);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18894, wj, MPFR_RNDN);
        ;
        mpfr_add(r18896, r18895, r18894, MPFR_RNDN);
        mpfr_div(r18897, r18894, r18896, MPFR_RNDN);
        mpfr_sub(r18898, r18894, r18897, MPFR_RNDN);
        mpfr_set_d(r18899, x, MPFR_RNDN);
        mpfr_exp(r18900, r18894, MPFR_RNDN);
        mpfr_mul(r18901, r18894, r18900, MPFR_RNDN);
        mpfr_add(r18902, r18900, r18901, MPFR_RNDN);
        mpfr_div(r18903, r18899, r18902, MPFR_RNDN);
        mpfr_add(r18904, r18898, r18903, MPFR_RNDN);
        return mpfr_get_d(r18904, MPFR_RNDN);
}

static mpfr_t r18905, r18906, r18907, r18908, r18909, r18910, r18911, r18912, r18913, r18914, r18915;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18905);
        mpfr_init_set_str(r18906, "1", 10, MPFR_RNDN);
        mpfr_init(r18907);
        mpfr_init(r18908);
        mpfr_init(r18909);
        mpfr_init(r18910);
        mpfr_init(r18911);
        mpfr_init(r18912);
        mpfr_init(r18913);
        mpfr_init(r18914);
        mpfr_init(r18915);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18905, wj, MPFR_RNDN);
        ;
        mpfr_add(r18907, r18906, r18905, MPFR_RNDN);
        mpfr_div(r18908, r18905, r18907, MPFR_RNDN);
        mpfr_sub(r18909, r18905, r18908, MPFR_RNDN);
        mpfr_set_d(r18910, x, MPFR_RNDN);
        mpfr_exp(r18911, r18905, MPFR_RNDN);
        mpfr_mul(r18912, r18905, r18911, MPFR_RNDN);
        mpfr_add(r18913, r18911, r18912, MPFR_RNDN);
        mpfr_div(r18914, r18910, r18913, MPFR_RNDN);
        mpfr_add(r18915, r18909, r18914, MPFR_RNDN);
        return mpfr_get_d(r18915, MPFR_RNDN);
}