#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 = r18947 * r18947;
        float r18949 = r18947 - r18948;
        float r18950 = x;
        float r18951 = exp(r18947);
        float r18952 = fma(r18947, r18951, r18951);
        float r18953 = r18950 / r18952;
        float r18954 = fma(r18949, r18947, r18953);
        return r18954;
}

double f_od(double wj, double x) {
        double r18955 = wj;
        double r18956 = r18955 * r18955;
        double r18957 = r18955 - r18956;
        double r18958 = x;
        double r18959 = exp(r18955);
        double r18960 = fma(r18955, r18959, r18959);
        double r18961 = r18958 / r18960;
        double r18962 = fma(r18957, r18955, r18961);
        return r18962;
}

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 r18963, r18964, r18965, r18966, r18967, r18968, r18969, r18970;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        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_im(double wj, double x) {
        mpfr_set_d(r18963, wj, MPFR_RNDN);
        mpfr_exp(r18964, r18963, MPFR_RNDN);
        mpfr_mul(r18965, r18963, r18964, MPFR_RNDN);
        mpfr_set_d(r18966, x, MPFR_RNDN);
        mpfr_sub(r18967, r18965, r18966, MPFR_RNDN);
        mpfr_add(r18968, r18964, r18965, MPFR_RNDN);
        mpfr_div(r18969, r18967, r18968, MPFR_RNDN);
        mpfr_sub(r18970, r18963, r18969, MPFR_RNDN);
        return mpfr_get_d(r18970, MPFR_RNDN);
}

static mpfr_t r18971, r18972, r18973, r18974, r18975, r18976, r18977, r18978;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18971);
        mpfr_init(r18972);
        mpfr_init(r18973);
        mpfr_init(r18974);
        mpfr_init(r18975);
        mpfr_init(r18976);
        mpfr_init(r18977);
        mpfr_init(r18978);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18971, wj, MPFR_RNDN);
        mpfr_sqr(r18972, r18971, MPFR_RNDN);
        mpfr_sub(r18973, r18971, r18972, MPFR_RNDN);
        mpfr_set_d(r18974, x, MPFR_RNDN);
        mpfr_exp(r18975, r18971, MPFR_RNDN);
        mpfr_fma(r18976, r18971, r18975, r18975, MPFR_RNDN);
        mpfr_div(r18977, r18974, r18976, MPFR_RNDN);
        mpfr_fma(r18978, r18973, r18971, r18977, MPFR_RNDN);
        return mpfr_get_d(r18978, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18979);
        mpfr_init(r18980);
        mpfr_init(r18981);
        mpfr_init(r18982);
        mpfr_init(r18983);
        mpfr_init(r18984);
        mpfr_init(r18985);
        mpfr_init(r18986);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18979, wj, MPFR_RNDN);
        mpfr_sqr(r18980, r18979, MPFR_RNDN);
        mpfr_sub(r18981, r18979, r18980, MPFR_RNDN);
        mpfr_set_d(r18982, x, MPFR_RNDN);
        mpfr_exp(r18983, r18979, MPFR_RNDN);
        mpfr_fma(r18984, r18979, r18983, r18983, MPFR_RNDN);
        mpfr_div(r18985, r18982, r18984, MPFR_RNDN);
        mpfr_fma(r18986, r18981, r18979, r18985, MPFR_RNDN);
        return mpfr_get_d(r18986, MPFR_RNDN);
}