#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 r18951 = wj;
        float r18952 = exp(r18951);
        float r18953 = r18951 * r18952;
        float r18954 = x;
        float r18955 = r18953 - r18954;
        float r18956 = r18952 + r18953;
        float r18957 = r18955 / r18956;
        float r18958 = r18951 - r18957;
        return r18958;
}

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


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

double f_od(double wj, double x) {
        double r18975 = wj;
        double r18976 = r18975 * r18975;
        double r18977 = r18975 - r18976;
        double r18978 = x;
        double r18979 = exp(r18975);
        double r18980 = fma(r18975, r18979, r18979);
        double r18981 = r18978 / r18980;
        double r18982 = fma(r18975, r18977, r18981);
        return r18982;
}

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

void setup_mpfr_f_im() {
        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_im(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_fm() {
        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_fm(double wj, double x) {
        mpfr_set_d(r18991, wj, MPFR_RNDN);
        mpfr_sqr(r18992, r18991, MPFR_RNDN);
        mpfr_sub(r18993, r18991, r18992, MPFR_RNDN);
        mpfr_set_d(r18994, x, MPFR_RNDN);
        mpfr_exp(r18995, r18991, MPFR_RNDN);
        mpfr_fma(r18996, r18991, r18995, r18995, MPFR_RNDN);
        mpfr_div(r18997, r18994, r18996, MPFR_RNDN);
        mpfr_fma(r18998, r18991, r18993, r18997, MPFR_RNDN);
        return mpfr_get_d(r18998, MPFR_RNDN);
}

static mpfr_t r18999, r19000, r19001, r19002, r19003, r19004, r19005, r19006;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r18999);
        mpfr_init(r19000);
        mpfr_init(r19001);
        mpfr_init(r19002);
        mpfr_init(r19003);
        mpfr_init(r19004);
        mpfr_init(r19005);
        mpfr_init(r19006);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r18999, wj, MPFR_RNDN);
        mpfr_sqr(r19000, r18999, MPFR_RNDN);
        mpfr_sub(r19001, r18999, r19000, MPFR_RNDN);
        mpfr_set_d(r19002, x, MPFR_RNDN);
        mpfr_exp(r19003, r18999, MPFR_RNDN);
        mpfr_fma(r19004, r18999, r19003, r19003, MPFR_RNDN);
        mpfr_div(r19005, r19002, r19004, MPFR_RNDN);
        mpfr_fma(r19006, r18999, r19001, r19005, MPFR_RNDN);
        return mpfr_get_d(r19006, MPFR_RNDN);
}