#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 r18931 = wj;
        float r18932 = exp(r18931);
        float r18933 = r18931 * r18932;
        float r18934 = x;
        float r18935 = r18933 - r18934;
        float r18936 = r18932 + r18933;
        float r18937 = r18935 / r18936;
        float r18938 = r18931 - r18937;
        return r18938;
}

double f_id(double wj, double x) {
        double r18939 = wj;
        double r18940 = exp(r18939);
        double r18941 = r18939 * r18940;
        double r18942 = x;
        double r18943 = r18941 - r18942;
        double r18944 = r18940 + r18941;
        double r18945 = r18943 / r18944;
        double r18946 = r18939 - r18945;
        return r18946;
}


double f_of(float wj, float x) {
        float r18947 = wj;
        float r18948 = 1.0f;
        float r18949 = r18948 + r18947;
        float r18950 = r18947 / r18949;
        float r18951 = r18947 - r18950;
        float r18952 = x;
        float r18953 = exp(r18947);
        float r18954 = r18947 * r18953;
        float r18955 = r18953 + r18954;
        float r18956 = r18952 / r18955;
        float r18957 = r18951 + r18956;
        return r18957;
}

double f_od(double wj, double x) {
        double r18958 = wj;
        double r18959 = 1.0;
        double r18960 = r18959 + r18958;
        double r18961 = r18958 / r18960;
        double r18962 = r18958 - r18961;
        double r18963 = x;
        double r18964 = exp(r18958);
        double r18965 = r18958 * r18964;
        double r18966 = r18964 + r18965;
        double r18967 = r18963 / r18966;
        double r18968 = r18962 + r18967;
        return r18968;
}

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 r18969, r18970, r18971, r18972, r18973, r18974, r18975, r18976;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18969);
        mpfr_init(r18970);
        mpfr_init(r18971);
        mpfr_init(r18972);
        mpfr_init(r18973);
        mpfr_init(r18974);
        mpfr_init(r18975);
        mpfr_init(r18976);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18969, wj, MPFR_RNDN);
        mpfr_exp(r18970, r18969, MPFR_RNDN);
        mpfr_mul(r18971, r18969, r18970, MPFR_RNDN);
        mpfr_set_d(r18972, x, MPFR_RNDN);
        mpfr_sub(r18973, r18971, r18972, MPFR_RNDN);
        mpfr_add(r18974, r18970, r18971, MPFR_RNDN);
        mpfr_div(r18975, r18973, r18974, MPFR_RNDN);
        mpfr_sub(r18976, r18969, r18975, MPFR_RNDN);
        return mpfr_get_d(r18976, MPFR_RNDN);
}

static mpfr_t r18977, r18978, r18979, r18980, r18981, r18982, r18983, r18984, r18985, r18986, r18987;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18977);
        mpfr_init_set_str(r18978, "1", 10, MPFR_RNDN);
        mpfr_init(r18979);
        mpfr_init(r18980);
        mpfr_init(r18981);
        mpfr_init(r18982);
        mpfr_init(r18983);
        mpfr_init(r18984);
        mpfr_init(r18985);
        mpfr_init(r18986);
        mpfr_init(r18987);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18977, wj, MPFR_RNDN);
        ;
        mpfr_add(r18979, r18978, r18977, MPFR_RNDN);
        mpfr_div(r18980, r18977, r18979, MPFR_RNDN);
        mpfr_sub(r18981, r18977, r18980, MPFR_RNDN);
        mpfr_set_d(r18982, x, MPFR_RNDN);
        mpfr_exp(r18983, r18977, MPFR_RNDN);
        mpfr_mul(r18984, r18977, r18983, MPFR_RNDN);
        mpfr_add(r18985, r18983, r18984, MPFR_RNDN);
        mpfr_div(r18986, r18982, r18985, MPFR_RNDN);
        mpfr_add(r18987, r18981, r18986, MPFR_RNDN);
        return mpfr_get_d(r18987, MPFR_RNDN);
}

static mpfr_t r18988, r18989, r18990, r18991, r18992, r18993, r18994, r18995, r18996, r18997, r18998;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18988);
        mpfr_init_set_str(r18989, "1", 10, MPFR_RNDN);
        mpfr_init(r18990);
        mpfr_init(r18991);
        mpfr_init(r18992);
        mpfr_init(r18993);
        mpfr_init(r18994);
        mpfr_init(r18995);
        mpfr_init(r18996);
        mpfr_init(r18997);
        mpfr_init(r18998);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18988, wj, MPFR_RNDN);
        ;
        mpfr_add(r18990, r18989, r18988, MPFR_RNDN);
        mpfr_div(r18991, r18988, r18990, MPFR_RNDN);
        mpfr_sub(r18992, r18988, r18991, MPFR_RNDN);
        mpfr_set_d(r18993, x, MPFR_RNDN);
        mpfr_exp(r18994, r18988, MPFR_RNDN);
        mpfr_mul(r18995, r18988, r18994, MPFR_RNDN);
        mpfr_add(r18996, r18994, r18995, MPFR_RNDN);
        mpfr_div(r18997, r18993, r18996, MPFR_RNDN);
        mpfr_add(r18998, r18992, r18997, MPFR_RNDN);
        return mpfr_get_d(r18998, MPFR_RNDN);
}