#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 r19863 = wj;
        float r19864 = exp(r19863);
        float r19865 = r19863 * r19864;
        float r19866 = x;
        float r19867 = r19865 - r19866;
        float r19868 = r19864 + r19865;
        float r19869 = r19867 / r19868;
        float r19870 = r19863 - r19869;
        return r19870;
}

double f_id(double wj, double x) {
        double r19871 = wj;
        double r19872 = exp(r19871);
        double r19873 = r19871 * r19872;
        double r19874 = x;
        double r19875 = r19873 - r19874;
        double r19876 = r19872 + r19873;
        double r19877 = r19875 / r19876;
        double r19878 = r19871 - r19877;
        return r19878;
}


double f_of(float wj, float x) {
        float r19879 = wj;
        float r19880 = exp(r19879);
        float r19881 = r19879 * r19880;
        float r19882 = x;
        float r19883 = r19881 - r19882;
        float r19884 = r19880 + r19881;
        float r19885 = r19883 / r19884;
        float r19886 = r19879 - r19885;
        float r19887 = 1.0792540822943409e-17f;
        bool r19888 = r19886 <= r19887;
        float r19889 = 4.0f;
        float r19890 = pow(r19879, r19889);
        float r19891 = r19879 * r19879;
        float r19892 = r19879 * (r19879 * r19879);
        float r19893 = r19891 - r19892;
        float r19894 = r19890 + r19893;
        float r19895 = 1.0f;
        float r19896 = r19895 + r19879;
        float r19897 = r19896 * r19880;
        float r19898 = r19882 / r19897;
        float r19899 = r19894 + r19898;
        float r19900 = r19879 / r19896;
        float r19901 = r19879 - r19900;
        float r19902 = r19882 / r19884;
        float r19903 = r19901 + r19902;
        float r19904 = r19888 ? r19899 : r19903;
        return r19904;
}

double f_od(double wj, double x) {
        double r19905 = wj;
        double r19906 = exp(r19905);
        double r19907 = r19905 * r19906;
        double r19908 = x;
        double r19909 = r19907 - r19908;
        double r19910 = r19906 + r19907;
        double r19911 = r19909 / r19910;
        double r19912 = r19905 - r19911;
        double r19913 = 1.0792540822943409e-17;
        bool r19914 = r19912 <= r19913;
        double r19915 = 4.0;
        double r19916 = pow(r19905, r19915);
        double r19917 = r19905 * r19905;
        double r19918 = r19905 * (r19905 * r19905);
        double r19919 = r19917 - r19918;
        double r19920 = r19916 + r19919;
        double r19921 = 1.0;
        double r19922 = r19921 + r19905;
        double r19923 = r19922 * r19906;
        double r19924 = r19908 / r19923;
        double r19925 = r19920 + r19924;
        double r19926 = r19905 / r19922;
        double r19927 = r19905 - r19926;
        double r19928 = r19908 / r19910;
        double r19929 = r19927 + r19928;
        double r19930 = r19914 ? r19925 : r19929;
        return r19930;
}

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 r19931, r19932, r19933, r19934, r19935, r19936, r19937, r19938;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19931);
        mpfr_init(r19932);
        mpfr_init(r19933);
        mpfr_init(r19934);
        mpfr_init(r19935);
        mpfr_init(r19936);
        mpfr_init(r19937);
        mpfr_init(r19938);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19931, wj, MPFR_RNDN);
        mpfr_exp(r19932, r19931, MPFR_RNDN);
        mpfr_mul(r19933, r19931, r19932, MPFR_RNDN);
        mpfr_set_d(r19934, x, MPFR_RNDN);
        mpfr_sub(r19935, r19933, r19934, MPFR_RNDN);
        mpfr_add(r19936, r19932, r19933, MPFR_RNDN);
        mpfr_div(r19937, r19935, r19936, MPFR_RNDN);
        mpfr_sub(r19938, r19931, r19937, MPFR_RNDN);
        return mpfr_get_d(r19938, MPFR_RNDN);
}

static mpfr_t r19939, r19940, r19941, r19942, r19943, r19944, r19945, r19946, r19947, r19948, r19949, r19950, r19951, r19952, r19953, r19954, r19955, r19956, r19957, r19958, r19959, r19960, r19961, r19962, r19963, r19964;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19939);
        mpfr_init(r19940);
        mpfr_init(r19941);
        mpfr_init(r19942);
        mpfr_init(r19943);
        mpfr_init(r19944);
        mpfr_init(r19945);
        mpfr_init(r19946);
        mpfr_init_set_str(r19947, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19948);
        mpfr_init_set_str(r19949, "4", 10, MPFR_RNDN);
        mpfr_init(r19950);
        mpfr_init(r19951);
        mpfr_init(r19952);
        mpfr_init(r19953);
        mpfr_init(r19954);
        mpfr_init_set_str(r19955, "1", 10, MPFR_RNDN);
        mpfr_init(r19956);
        mpfr_init(r19957);
        mpfr_init(r19958);
        mpfr_init(r19959);
        mpfr_init(r19960);
        mpfr_init(r19961);
        mpfr_init(r19962);
        mpfr_init(r19963);
        mpfr_init(r19964);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19939, wj, MPFR_RNDN);
        mpfr_exp(r19940, r19939, MPFR_RNDN);
        mpfr_mul(r19941, r19939, r19940, MPFR_RNDN);
        mpfr_set_d(r19942, x, MPFR_RNDN);
        mpfr_sub(r19943, r19941, r19942, MPFR_RNDN);
        mpfr_add(r19944, r19940, r19941, MPFR_RNDN);
        mpfr_div(r19945, r19943, r19944, MPFR_RNDN);
        mpfr_sub(r19946, r19939, r19945, MPFR_RNDN);
        ;
        mpfr_set_si(r19948, mpfr_cmp(r19946, r19947) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19950, r19939, r19949, MPFR_RNDN);
        mpfr_sqr(r19951, r19939, MPFR_RNDN);
        mpfr_mul(r19952, r19939, r19939, MPFR_RNDN); mpfr_mul(r19952, r19952, r19939, MPFR_RNDN);
        mpfr_sub(r19953, r19951, r19952, MPFR_RNDN);
        mpfr_add(r19954, r19950, r19953, MPFR_RNDN);
        ;
        mpfr_add(r19956, r19955, r19939, MPFR_RNDN);
        mpfr_mul(r19957, r19956, r19940, MPFR_RNDN);
        mpfr_div(r19958, r19942, r19957, MPFR_RNDN);
        mpfr_add(r19959, r19954, r19958, MPFR_RNDN);
        mpfr_div(r19960, r19939, r19956, MPFR_RNDN);
        mpfr_sub(r19961, r19939, r19960, MPFR_RNDN);
        mpfr_div(r19962, r19942, r19944, MPFR_RNDN);
        mpfr_add(r19963, r19961, r19962, MPFR_RNDN);
        if (mpfr_get_si(r19948, MPFR_RNDN)) { mpfr_set(r19964, r19959, MPFR_RNDN); } else { mpfr_set(r19964, r19963, MPFR_RNDN); };
        return mpfr_get_d(r19964, MPFR_RNDN);
}

static mpfr_t r19965, r19966, r19967, r19968, r19969, r19970, r19971, r19972, r19973, r19974, r19975, r19976, r19977, r19978, r19979, r19980, r19981, r19982, r19983, r19984, r19985, r19986, r19987, r19988, r19989, r19990;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19965);
        mpfr_init(r19966);
        mpfr_init(r19967);
        mpfr_init(r19968);
        mpfr_init(r19969);
        mpfr_init(r19970);
        mpfr_init(r19971);
        mpfr_init(r19972);
        mpfr_init_set_str(r19973, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19974);
        mpfr_init_set_str(r19975, "4", 10, MPFR_RNDN);
        mpfr_init(r19976);
        mpfr_init(r19977);
        mpfr_init(r19978);
        mpfr_init(r19979);
        mpfr_init(r19980);
        mpfr_init_set_str(r19981, "1", 10, MPFR_RNDN);
        mpfr_init(r19982);
        mpfr_init(r19983);
        mpfr_init(r19984);
        mpfr_init(r19985);
        mpfr_init(r19986);
        mpfr_init(r19987);
        mpfr_init(r19988);
        mpfr_init(r19989);
        mpfr_init(r19990);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19965, wj, MPFR_RNDN);
        mpfr_exp(r19966, r19965, MPFR_RNDN);
        mpfr_mul(r19967, r19965, r19966, MPFR_RNDN);
        mpfr_set_d(r19968, x, MPFR_RNDN);
        mpfr_sub(r19969, r19967, r19968, MPFR_RNDN);
        mpfr_add(r19970, r19966, r19967, MPFR_RNDN);
        mpfr_div(r19971, r19969, r19970, MPFR_RNDN);
        mpfr_sub(r19972, r19965, r19971, MPFR_RNDN);
        ;
        mpfr_set_si(r19974, mpfr_cmp(r19972, r19973) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19976, r19965, r19975, MPFR_RNDN);
        mpfr_sqr(r19977, r19965, MPFR_RNDN);
        mpfr_mul(r19978, r19965, r19965, MPFR_RNDN); mpfr_mul(r19978, r19978, r19965, MPFR_RNDN);
        mpfr_sub(r19979, r19977, r19978, MPFR_RNDN);
        mpfr_add(r19980, r19976, r19979, MPFR_RNDN);
        ;
        mpfr_add(r19982, r19981, r19965, MPFR_RNDN);
        mpfr_mul(r19983, r19982, r19966, MPFR_RNDN);
        mpfr_div(r19984, r19968, r19983, MPFR_RNDN);
        mpfr_add(r19985, r19980, r19984, MPFR_RNDN);
        mpfr_div(r19986, r19965, r19982, MPFR_RNDN);
        mpfr_sub(r19987, r19965, r19986, MPFR_RNDN);
        mpfr_div(r19988, r19968, r19970, MPFR_RNDN);
        mpfr_add(r19989, r19987, r19988, MPFR_RNDN);
        if (mpfr_get_si(r19974, MPFR_RNDN)) { mpfr_set(r19990, r19985, MPFR_RNDN); } else { mpfr_set(r19990, r19989, MPFR_RNDN); };
        return mpfr_get_d(r19990, MPFR_RNDN);
}