#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 r18871 = wj;
        float r18872 = exp(r18871);
        float r18873 = r18871 * r18872;
        float r18874 = x;
        float r18875 = r18873 - r18874;
        float r18876 = r18872 + r18873;
        float r18877 = r18875 / r18876;
        float r18878 = r18871 - r18877;
        return r18878;
}

double f_id(double wj, double x) {
        double r18879 = wj;
        double r18880 = exp(r18879);
        double r18881 = r18879 * r18880;
        double r18882 = x;
        double r18883 = r18881 - r18882;
        double r18884 = r18880 + r18881;
        double r18885 = r18883 / r18884;
        double r18886 = r18879 - r18885;
        return r18886;
}


double f_of(float wj, float x) {
        float r18887 = wj;
        float r18888 = 1.0f;
        float r18889 = r18888 + r18887;
        float r18890 = r18887 / r18889;
        float r18891 = r18887 - r18890;
        float r18892 = x;
        float r18893 = exp(r18887);
        float r18894 = r18887 * r18893;
        float r18895 = r18893 + r18894;
        float r18896 = r18892 / r18895;
        float r18897 = r18891 + r18896;
        return r18897;
}

double f_od(double wj, double x) {
        double r18898 = wj;
        double r18899 = 1.0;
        double r18900 = r18899 + r18898;
        double r18901 = r18898 / r18900;
        double r18902 = r18898 - r18901;
        double r18903 = x;
        double r18904 = exp(r18898);
        double r18905 = r18898 * r18904;
        double r18906 = r18904 + r18905;
        double r18907 = r18903 / r18906;
        double r18908 = r18902 + r18907;
        return r18908;
}

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 r18909, r18910, r18911, r18912, r18913, r18914, r18915, r18916;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18909);
        mpfr_init(r18910);
        mpfr_init(r18911);
        mpfr_init(r18912);
        mpfr_init(r18913);
        mpfr_init(r18914);
        mpfr_init(r18915);
        mpfr_init(r18916);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18909, wj, MPFR_RNDN);
        mpfr_exp(r18910, r18909, MPFR_RNDN);
        mpfr_mul(r18911, r18909, r18910, MPFR_RNDN);
        mpfr_set_d(r18912, x, MPFR_RNDN);
        mpfr_sub(r18913, r18911, r18912, MPFR_RNDN);
        mpfr_add(r18914, r18910, r18911, MPFR_RNDN);
        mpfr_div(r18915, r18913, r18914, MPFR_RNDN);
        mpfr_sub(r18916, r18909, r18915, MPFR_RNDN);
        return mpfr_get_d(r18916, MPFR_RNDN);
}

static mpfr_t r18917, r18918, r18919, r18920, r18921, r18922, r18923, r18924, r18925, r18926, r18927;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18917);
        mpfr_init_set_str(r18918, "1", 10, MPFR_RNDN);
        mpfr_init(r18919);
        mpfr_init(r18920);
        mpfr_init(r18921);
        mpfr_init(r18922);
        mpfr_init(r18923);
        mpfr_init(r18924);
        mpfr_init(r18925);
        mpfr_init(r18926);
        mpfr_init(r18927);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18917, wj, MPFR_RNDN);
        ;
        mpfr_add(r18919, r18918, r18917, MPFR_RNDN);
        mpfr_div(r18920, r18917, r18919, MPFR_RNDN);
        mpfr_sub(r18921, r18917, r18920, MPFR_RNDN);
        mpfr_set_d(r18922, x, MPFR_RNDN);
        mpfr_exp(r18923, r18917, MPFR_RNDN);
        mpfr_mul(r18924, r18917, r18923, MPFR_RNDN);
        mpfr_add(r18925, r18923, r18924, MPFR_RNDN);
        mpfr_div(r18926, r18922, r18925, MPFR_RNDN);
        mpfr_add(r18927, r18921, r18926, MPFR_RNDN);
        return mpfr_get_d(r18927, MPFR_RNDN);
}

static mpfr_t r18928, r18929, r18930, r18931, r18932, r18933, r18934, r18935, r18936, r18937, r18938;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18928);
        mpfr_init_set_str(r18929, "1", 10, MPFR_RNDN);
        mpfr_init(r18930);
        mpfr_init(r18931);
        mpfr_init(r18932);
        mpfr_init(r18933);
        mpfr_init(r18934);
        mpfr_init(r18935);
        mpfr_init(r18936);
        mpfr_init(r18937);
        mpfr_init(r18938);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18928, wj, MPFR_RNDN);
        ;
        mpfr_add(r18930, r18929, r18928, MPFR_RNDN);
        mpfr_div(r18931, r18928, r18930, MPFR_RNDN);
        mpfr_sub(r18932, r18928, r18931, MPFR_RNDN);
        mpfr_set_d(r18933, x, MPFR_RNDN);
        mpfr_exp(r18934, r18928, MPFR_RNDN);
        mpfr_mul(r18935, r18928, r18934, MPFR_RNDN);
        mpfr_add(r18936, r18934, r18935, MPFR_RNDN);
        mpfr_div(r18937, r18933, r18936, MPFR_RNDN);
        mpfr_add(r18938, r18932, r18937, MPFR_RNDN);
        return mpfr_get_d(r18938, MPFR_RNDN);
}