#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 r18879 = wj;
        float r18880 = exp(r18879);
        float r18881 = r18879 * r18880;
        float r18882 = x;
        float r18883 = r18881 - r18882;
        float r18884 = r18880 + r18881;
        float r18885 = r18883 / r18884;
        float r18886 = r18879 - r18885;
        return r18886;
}

double f_id(double wj, double x) {
        double r18887 = wj;
        double r18888 = exp(r18887);
        double r18889 = r18887 * r18888;
        double r18890 = x;
        double r18891 = r18889 - r18890;
        double r18892 = r18888 + r18889;
        double r18893 = r18891 / r18892;
        double r18894 = r18887 - r18893;
        return r18894;
}


double f_of(float wj, float x) {
        float r18895 = wj;
        float r18896 = r18895 * r18895;
        float r18897 = r18895 - r18896;
        float r18898 = x;
        float r18899 = exp(r18895);
        float r18900 = fma(r18895, r18899, r18899);
        float r18901 = r18898 / r18900;
        float r18902 = fma(r18895, r18897, r18901);
        return r18902;
}

double f_od(double wj, double x) {
        double r18903 = wj;
        double r18904 = r18903 * r18903;
        double r18905 = r18903 - r18904;
        double r18906 = x;
        double r18907 = exp(r18903);
        double r18908 = fma(r18903, r18907, r18907);
        double r18909 = r18906 / r18908;
        double r18910 = fma(r18903, r18905, r18909);
        return r18910;
}

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 r18911, r18912, r18913, r18914, r18915, r18916, r18917, r18918;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18911);
        mpfr_init(r18912);
        mpfr_init(r18913);
        mpfr_init(r18914);
        mpfr_init(r18915);
        mpfr_init(r18916);
        mpfr_init(r18917);
        mpfr_init(r18918);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18911, wj, MPFR_RNDN);
        mpfr_exp(r18912, r18911, MPFR_RNDN);
        mpfr_mul(r18913, r18911, r18912, MPFR_RNDN);
        mpfr_set_d(r18914, x, MPFR_RNDN);
        mpfr_sub(r18915, r18913, r18914, MPFR_RNDN);
        mpfr_add(r18916, r18912, r18913, MPFR_RNDN);
        mpfr_div(r18917, r18915, r18916, MPFR_RNDN);
        mpfr_sub(r18918, r18911, r18917, MPFR_RNDN);
        return mpfr_get_d(r18918, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18919);
        mpfr_init(r18920);
        mpfr_init(r18921);
        mpfr_init(r18922);
        mpfr_init(r18923);
        mpfr_init(r18924);
        mpfr_init(r18925);
        mpfr_init(r18926);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18919, wj, MPFR_RNDN);
        mpfr_sqr(r18920, r18919, MPFR_RNDN);
        mpfr_sub(r18921, r18919, r18920, MPFR_RNDN);
        mpfr_set_d(r18922, x, MPFR_RNDN);
        mpfr_exp(r18923, r18919, MPFR_RNDN);
        mpfr_fma(r18924, r18919, r18923, r18923, MPFR_RNDN);
        mpfr_div(r18925, r18922, r18924, MPFR_RNDN);
        mpfr_fma(r18926, r18919, r18921, r18925, MPFR_RNDN);
        return mpfr_get_d(r18926, MPFR_RNDN);
}

static mpfr_t r18927, r18928, r18929, r18930, r18931, r18932, r18933, r18934;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18927);
        mpfr_init(r18928);
        mpfr_init(r18929);
        mpfr_init(r18930);
        mpfr_init(r18931);
        mpfr_init(r18932);
        mpfr_init(r18933);
        mpfr_init(r18934);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18927, wj, MPFR_RNDN);
        mpfr_sqr(r18928, r18927, MPFR_RNDN);
        mpfr_sub(r18929, r18927, r18928, MPFR_RNDN);
        mpfr_set_d(r18930, x, MPFR_RNDN);
        mpfr_exp(r18931, r18927, MPFR_RNDN);
        mpfr_fma(r18932, r18927, r18931, r18931, MPFR_RNDN);
        mpfr_div(r18933, r18930, r18932, MPFR_RNDN);
        mpfr_fma(r18934, r18927, r18929, r18933, MPFR_RNDN);
        return mpfr_get_d(r18934, MPFR_RNDN);
}