#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 r18847 = wj;
        float r18848 = exp(r18847);
        float r18849 = r18847 * r18848;
        float r18850 = x;
        float r18851 = r18849 - r18850;
        float r18852 = r18848 + r18849;
        float r18853 = r18851 / r18852;
        float r18854 = r18847 - r18853;
        return r18854;
}

double f_id(double wj, double x) {
        double r18855 = wj;
        double r18856 = exp(r18855);
        double r18857 = r18855 * r18856;
        double r18858 = x;
        double r18859 = r18857 - r18858;
        double r18860 = r18856 + r18857;
        double r18861 = r18859 / r18860;
        double r18862 = r18855 - r18861;
        return r18862;
}


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

double f_od(double wj, double x) {
        double r18871 = wj;
        double r18872 = r18871 * r18871;
        double r18873 = r18871 - r18872;
        double r18874 = x;
        double r18875 = exp(r18871);
        double r18876 = fma(r18871, r18875, r18875);
        double r18877 = r18874 / r18876;
        double r18878 = fma(r18871, r18873, r18877);
        return r18878;
}

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

void setup_mpfr_f_im() {
        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_im(double wj, double x) {
        mpfr_set_d(r18879, wj, MPFR_RNDN);
        mpfr_exp(r18880, r18879, MPFR_RNDN);
        mpfr_mul(r18881, r18879, r18880, MPFR_RNDN);
        mpfr_set_d(r18882, x, MPFR_RNDN);
        mpfr_sub(r18883, r18881, r18882, MPFR_RNDN);
        mpfr_add(r18884, r18880, r18881, MPFR_RNDN);
        mpfr_div(r18885, r18883, r18884, MPFR_RNDN);
        mpfr_sub(r18886, r18879, 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_fm() {
        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_fm(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);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18895);
        mpfr_init(r18896);
        mpfr_init(r18897);
        mpfr_init(r18898);
        mpfr_init(r18899);
        mpfr_init(r18900);
        mpfr_init(r18901);
        mpfr_init(r18902);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18895, wj, MPFR_RNDN);
        mpfr_sqr(r18896, r18895, MPFR_RNDN);
        mpfr_sub(r18897, r18895, r18896, MPFR_RNDN);
        mpfr_set_d(r18898, x, MPFR_RNDN);
        mpfr_exp(r18899, r18895, MPFR_RNDN);
        mpfr_fma(r18900, r18895, r18899, r18899, MPFR_RNDN);
        mpfr_div(r18901, r18898, r18900, MPFR_RNDN);
        mpfr_fma(r18902, r18895, r18897, r18901, MPFR_RNDN);
        return mpfr_get_d(r18902, MPFR_RNDN);
}