#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 r18943 = wj;
        float r18944 = exp(r18943);
        float r18945 = r18943 * r18944;
        float r18946 = x;
        float r18947 = r18945 - r18946;
        float r18948 = r18944 + r18945;
        float r18949 = r18947 / r18948;
        float r18950 = r18943 - r18949;
        return r18950;
}

double f_id(double wj, double x) {
        double r18951 = wj;
        double r18952 = exp(r18951);
        double r18953 = r18951 * r18952;
        double r18954 = x;
        double r18955 = r18953 - r18954;
        double r18956 = r18952 + r18953;
        double r18957 = r18955 / r18956;
        double r18958 = r18951 - r18957;
        return r18958;
}


double f_of(float wj, float x) {
        float r18959 = wj;
        float r18960 = exp(r18959);
        float r18961 = r18959 * r18960;
        float r18962 = x;
        float r18963 = r18961 - r18962;
        float r18964 = r18960 + r18961;
        float r18965 = r18963 / r18964;
        float r18966 = r18959 - r18965;
        return r18966;
}

double f_od(double wj, double x) {
        double r18967 = wj;
        double r18968 = exp(r18967);
        double r18969 = r18967 * r18968;
        double r18970 = x;
        double r18971 = r18969 - r18970;
        double r18972 = r18968 + r18969;
        double r18973 = r18971 / r18972;
        double r18974 = r18967 - r18973;
        return r18974;
}

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 r18975, r18976, r18977, r18978, r18979, r18980, r18981, r18982;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r18975);
        mpfr_init(r18976);
        mpfr_init(r18977);
        mpfr_init(r18978);
        mpfr_init(r18979);
        mpfr_init(r18980);
        mpfr_init(r18981);
        mpfr_init(r18982);
}

double f_im(double wj, double x) {
        mpfr_set_d(r18975, wj, MPFR_RNDN);
        mpfr_exp(r18976, r18975, MPFR_RNDN);
        mpfr_mul(r18977, r18975, r18976, MPFR_RNDN);
        mpfr_set_d(r18978, x, MPFR_RNDN);
        mpfr_sub(r18979, r18977, r18978, MPFR_RNDN);
        mpfr_add(r18980, r18976, r18977, MPFR_RNDN);
        mpfr_div(r18981, r18979, r18980, MPFR_RNDN);
        mpfr_sub(r18982, r18975, r18981, MPFR_RNDN);
        return mpfr_get_d(r18982, MPFR_RNDN);
}

static mpfr_t r18983, r18984, r18985, r18986, r18987, r18988, r18989, r18990;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18983);
        mpfr_init(r18984);
        mpfr_init(r18985);
        mpfr_init(r18986);
        mpfr_init(r18987);
        mpfr_init(r18988);
        mpfr_init(r18989);
        mpfr_init(r18990);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r18983, wj, MPFR_RNDN);
        mpfr_exp(r18984, r18983, MPFR_RNDN);
        mpfr_mul(r18985, r18983, r18984, MPFR_RNDN);
        mpfr_set_d(r18986, x, MPFR_RNDN);
        mpfr_sub(r18987, r18985, r18986, MPFR_RNDN);
        mpfr_add(r18988, r18984, r18985, MPFR_RNDN);
        mpfr_div(r18989, r18987, r18988, MPFR_RNDN);
        mpfr_sub(r18990, r18983, r18989, MPFR_RNDN);
        return mpfr_get_d(r18990, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        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(r18991, wj, MPFR_RNDN);
        mpfr_exp(r18992, r18991, MPFR_RNDN);
        mpfr_mul(r18993, r18991, r18992, MPFR_RNDN);
        mpfr_set_d(r18994, x, MPFR_RNDN);
        mpfr_sub(r18995, r18993, r18994, MPFR_RNDN);
        mpfr_add(r18996, r18992, r18993, MPFR_RNDN);
        mpfr_div(r18997, r18995, r18996, MPFR_RNDN);
        mpfr_sub(r18998, r18991, r18997, MPFR_RNDN);
        return mpfr_get_d(r18998, MPFR_RNDN);
}