#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 r18939 = wj;
        float r18940 = exp(r18939);
        float r18941 = r18939 * r18940;
        float r18942 = x;
        float r18943 = r18941 - r18942;
        float r18944 = r18940 + r18941;
        float r18945 = r18943 / r18944;
        float r18946 = r18939 - r18945;
        return r18946;
}

double f_id(double wj, double x) {
        double r18947 = wj;
        double r18948 = exp(r18947);
        double r18949 = r18947 * r18948;
        double r18950 = x;
        double r18951 = r18949 - r18950;
        double r18952 = r18948 + r18949;
        double r18953 = r18951 / r18952;
        double r18954 = r18947 - r18953;
        return r18954;
}


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

double f_od(double wj, double x) {
        double r18963 = wj;
        double r18964 = exp(r18963);
        double r18965 = r18963 * r18964;
        double r18966 = x;
        double r18967 = r18965 - r18966;
        double r18968 = r18964 + r18965;
        double r18969 = r18967 / r18968;
        double r18970 = r18963 - r18969;
        return r18970;
}

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

void setup_mpfr_f_im() {
        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_im(double wj, double x) {
        mpfr_set_d(r18971, wj, MPFR_RNDN);
        mpfr_exp(r18972, r18971, MPFR_RNDN);
        mpfr_mul(r18973, r18971, r18972, MPFR_RNDN);
        mpfr_set_d(r18974, x, MPFR_RNDN);
        mpfr_sub(r18975, r18973, r18974, MPFR_RNDN);
        mpfr_add(r18976, r18972, r18973, MPFR_RNDN);
        mpfr_div(r18977, r18975, r18976, MPFR_RNDN);
        mpfr_sub(r18978, 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_fm() {
        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_fm(double wj, double x) {
        mpfr_set_d(r18979, wj, MPFR_RNDN);
        mpfr_exp(r18980, r18979, MPFR_RNDN);
        mpfr_mul(r18981, r18979, r18980, MPFR_RNDN);
        mpfr_set_d(r18982, x, MPFR_RNDN);
        mpfr_sub(r18983, r18981, r18982, MPFR_RNDN);
        mpfr_add(r18984, r18980, r18981, MPFR_RNDN);
        mpfr_div(r18985, r18983, r18984, MPFR_RNDN);
        mpfr_sub(r18986, r18979, r18985, MPFR_RNDN);
        return mpfr_get_d(r18986, MPFR_RNDN);
}

static mpfr_t r18987, r18988, r18989, r18990, r18991, r18992, r18993, r18994;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18987);
        mpfr_init(r18988);
        mpfr_init(r18989);
        mpfr_init(r18990);
        mpfr_init(r18991);
        mpfr_init(r18992);
        mpfr_init(r18993);
        mpfr_init(r18994);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18987, wj, MPFR_RNDN);
        mpfr_exp(r18988, r18987, MPFR_RNDN);
        mpfr_mul(r18989, r18987, r18988, MPFR_RNDN);
        mpfr_set_d(r18990, x, MPFR_RNDN);
        mpfr_sub(r18991, r18989, r18990, MPFR_RNDN);
        mpfr_add(r18992, r18988, r18989, MPFR_RNDN);
        mpfr_div(r18993, r18991, r18992, MPFR_RNDN);
        mpfr_sub(r18994, r18987, r18993, MPFR_RNDN);
        return mpfr_get_d(r18994, MPFR_RNDN);
}