#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 r18819 = wj;
        float r18820 = exp(r18819);
        float r18821 = r18819 * r18820;
        float r18822 = x;
        float r18823 = r18821 - r18822;
        float r18824 = r18820 + r18821;
        float r18825 = r18823 / r18824;
        float r18826 = r18819 - r18825;
        return r18826;
}

double f_id(double wj, double x) {
        double r18827 = wj;
        double r18828 = exp(r18827);
        double r18829 = r18827 * r18828;
        double r18830 = x;
        double r18831 = r18829 - r18830;
        double r18832 = r18828 + r18829;
        double r18833 = r18831 / r18832;
        double r18834 = r18827 - r18833;
        return r18834;
}


double f_of(float wj, float x) {
        float r18835 = wj;
        float r18836 = 4.0f;
        float r18837 = pow(r18835, r18836);
        float r18838 = fma(r18835, r18835, r18837);
        float r18839 = r18835 * (r18835 * r18835);
        float r18840 = r18838 - r18839;
        float r18841 = x;
        float r18842 = exp(r18835);
        float r18843 = fma(r18835, r18842, r18842);
        float r18844 = r18841 / r18843;
        float r18845 = r18840 + r18844;
        return r18845;
}

double f_od(double wj, double x) {
        double r18846 = wj;
        double r18847 = 4.0;
        double r18848 = pow(r18846, r18847);
        double r18849 = fma(r18846, r18846, r18848);
        double r18850 = r18846 * (r18846 * r18846);
        double r18851 = r18849 - r18850;
        double r18852 = x;
        double r18853 = exp(r18846);
        double r18854 = fma(r18846, r18853, r18853);
        double r18855 = r18852 / r18854;
        double r18856 = r18851 + r18855;
        return r18856;
}

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 r18857, r18858, r18859, r18860, r18861, r18862, r18863, r18864;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18857);
        mpfr_init(r18858);
        mpfr_init(r18859);
        mpfr_init(r18860);
        mpfr_init(r18861);
        mpfr_init(r18862);
        mpfr_init(r18863);
        mpfr_init(r18864);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18857, wj, MPFR_RNDN);
        mpfr_exp(r18858, r18857, MPFR_RNDN);
        mpfr_mul(r18859, r18857, r18858, MPFR_RNDN);
        mpfr_set_d(r18860, x, MPFR_RNDN);
        mpfr_sub(r18861, r18859, r18860, MPFR_RNDN);
        mpfr_add(r18862, r18858, r18859, MPFR_RNDN);
        mpfr_div(r18863, r18861, r18862, MPFR_RNDN);
        mpfr_sub(r18864, r18857, r18863, MPFR_RNDN);
        return mpfr_get_d(r18864, MPFR_RNDN);
}

static mpfr_t r18865, r18866, r18867, r18868, r18869, r18870, r18871, r18872, r18873, r18874, r18875;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18865);
        mpfr_init_set_str(r18866, "4", 10, MPFR_RNDN);
        mpfr_init(r18867);
        mpfr_init(r18868);
        mpfr_init(r18869);
        mpfr_init(r18870);
        mpfr_init(r18871);
        mpfr_init(r18872);
        mpfr_init(r18873);
        mpfr_init(r18874);
        mpfr_init(r18875);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18865, wj, MPFR_RNDN);
        ;
        mpfr_pow(r18867, r18865, r18866, MPFR_RNDN);
        mpfr_fma(r18868, r18865, r18865, r18867, MPFR_RNDN);
        mpfr_mul(r18869, r18865, r18865, MPFR_RNDN); mpfr_mul(r18869, r18869, r18865, MPFR_RNDN);
        mpfr_sub(r18870, r18868, r18869, MPFR_RNDN);
        mpfr_set_d(r18871, x, MPFR_RNDN);
        mpfr_exp(r18872, r18865, MPFR_RNDN);
        mpfr_fma(r18873, r18865, r18872, r18872, MPFR_RNDN);
        mpfr_div(r18874, r18871, r18873, MPFR_RNDN);
        mpfr_add(r18875, r18870, r18874, MPFR_RNDN);
        return mpfr_get_d(r18875, MPFR_RNDN);
}

static mpfr_t r18876, r18877, r18878, r18879, r18880, r18881, r18882, r18883, r18884, r18885, r18886;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18876);
        mpfr_init_set_str(r18877, "4", 10, MPFR_RNDN);
        mpfr_init(r18878);
        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_dm(double wj, double x) {
        mpfr_set_d(r18876, wj, MPFR_RNDN);
        ;
        mpfr_pow(r18878, r18876, r18877, MPFR_RNDN);
        mpfr_fma(r18879, r18876, r18876, r18878, MPFR_RNDN);
        mpfr_mul(r18880, r18876, r18876, MPFR_RNDN); mpfr_mul(r18880, r18880, r18876, MPFR_RNDN);
        mpfr_sub(r18881, r18879, r18880, MPFR_RNDN);
        mpfr_set_d(r18882, x, MPFR_RNDN);
        mpfr_exp(r18883, r18876, MPFR_RNDN);
        mpfr_fma(r18884, r18876, r18883, r18883, MPFR_RNDN);
        mpfr_div(r18885, r18882, r18884, MPFR_RNDN);
        mpfr_add(r18886, r18881, r18885, MPFR_RNDN);
        return mpfr_get_d(r18886, MPFR_RNDN);
}