#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 r18903 = wj;
        float r18904 = exp(r18903);
        float r18905 = r18903 * r18904;
        float r18906 = x;
        float r18907 = r18905 - r18906;
        float r18908 = r18904 + r18905;
        float r18909 = r18907 / r18908;
        float r18910 = r18903 - r18909;
        return r18910;
}

double f_id(double wj, double x) {
        double r18911 = wj;
        double r18912 = exp(r18911);
        double r18913 = r18911 * r18912;
        double r18914 = x;
        double r18915 = r18913 - r18914;
        double r18916 = r18912 + r18913;
        double r18917 = r18915 / r18916;
        double r18918 = r18911 - r18917;
        return r18918;
}


double f_of(float wj, float x) {
        float r18919 = wj;
        float r18920 = 4.0f;
        float r18921 = pow(r18919, r18920);
        float r18922 = fma(r18919, r18919, r18921);
        float r18923 = r18919 * (r18919 * r18919);
        float r18924 = r18922 - r18923;
        float r18925 = x;
        float r18926 = exp(r18919);
        float r18927 = fma(r18919, r18926, r18926);
        float r18928 = r18925 / r18927;
        float r18929 = r18924 + r18928;
        return r18929;
}

double f_od(double wj, double x) {
        double r18930 = wj;
        double r18931 = 4.0;
        double r18932 = pow(r18930, r18931);
        double r18933 = fma(r18930, r18930, r18932);
        double r18934 = r18930 * (r18930 * r18930);
        double r18935 = r18933 - r18934;
        double r18936 = x;
        double r18937 = exp(r18930);
        double r18938 = fma(r18930, r18937, r18937);
        double r18939 = r18936 / r18938;
        double r18940 = r18935 + r18939;
        return r18940;
}

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 r18941, r18942, r18943, r18944, r18945, r18946, r18947, r18948;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18941);
        mpfr_init(r18942);
        mpfr_init(r18943);
        mpfr_init(r18944);
        mpfr_init(r18945);
        mpfr_init(r18946);
        mpfr_init(r18947);
        mpfr_init(r18948);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18941, wj, MPFR_RNDN);
        mpfr_exp(r18942, r18941, MPFR_RNDN);
        mpfr_mul(r18943, r18941, r18942, MPFR_RNDN);
        mpfr_set_d(r18944, x, MPFR_RNDN);
        mpfr_sub(r18945, r18943, r18944, MPFR_RNDN);
        mpfr_add(r18946, r18942, r18943, MPFR_RNDN);
        mpfr_div(r18947, r18945, r18946, MPFR_RNDN);
        mpfr_sub(r18948, r18941, r18947, MPFR_RNDN);
        return mpfr_get_d(r18948, MPFR_RNDN);
}

static mpfr_t r18949, r18950, r18951, r18952, r18953, r18954, r18955, r18956, r18957, r18958, r18959;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18949);
        mpfr_init_set_str(r18950, "4", 10, MPFR_RNDN);
        mpfr_init(r18951);
        mpfr_init(r18952);
        mpfr_init(r18953);
        mpfr_init(r18954);
        mpfr_init(r18955);
        mpfr_init(r18956);
        mpfr_init(r18957);
        mpfr_init(r18958);
        mpfr_init(r18959);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18949, wj, MPFR_RNDN);
        ;
        mpfr_pow(r18951, r18949, r18950, MPFR_RNDN);
        mpfr_fma(r18952, r18949, r18949, r18951, MPFR_RNDN);
        mpfr_mul(r18953, r18949, r18949, MPFR_RNDN); mpfr_mul(r18953, r18953, r18949, MPFR_RNDN);
        mpfr_sub(r18954, r18952, r18953, MPFR_RNDN);
        mpfr_set_d(r18955, x, MPFR_RNDN);
        mpfr_exp(r18956, r18949, MPFR_RNDN);
        mpfr_fma(r18957, r18949, r18956, r18956, MPFR_RNDN);
        mpfr_div(r18958, r18955, r18957, MPFR_RNDN);
        mpfr_add(r18959, r18954, r18958, MPFR_RNDN);
        return mpfr_get_d(r18959, MPFR_RNDN);
}

static mpfr_t r18960, r18961, r18962, r18963, r18964, r18965, r18966, r18967, r18968, r18969, r18970;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18960);
        mpfr_init_set_str(r18961, "4", 10, MPFR_RNDN);
        mpfr_init(r18962);
        mpfr_init(r18963);
        mpfr_init(r18964);
        mpfr_init(r18965);
        mpfr_init(r18966);
        mpfr_init(r18967);
        mpfr_init(r18968);
        mpfr_init(r18969);
        mpfr_init(r18970);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18960, wj, MPFR_RNDN);
        ;
        mpfr_pow(r18962, r18960, r18961, MPFR_RNDN);
        mpfr_fma(r18963, r18960, r18960, r18962, MPFR_RNDN);
        mpfr_mul(r18964, r18960, r18960, MPFR_RNDN); mpfr_mul(r18964, r18964, r18960, MPFR_RNDN);
        mpfr_sub(r18965, r18963, r18964, MPFR_RNDN);
        mpfr_set_d(r18966, x, MPFR_RNDN);
        mpfr_exp(r18967, r18960, MPFR_RNDN);
        mpfr_fma(r18968, r18960, r18967, r18967, MPFR_RNDN);
        mpfr_div(r18969, r18966, r18968, MPFR_RNDN);
        mpfr_add(r18970, r18965, r18969, MPFR_RNDN);
        return mpfr_get_d(r18970, MPFR_RNDN);
}