#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 r25840 = wj;
        float r25841 = exp(r25840);
        float r25842 = r25840 * r25841;
        float r25843 = x;
        float r25844 = r25842 - r25843;
        float r25845 = r25841 + r25842;
        float r25846 = r25844 / r25845;
        float r25847 = r25840 - r25846;
        return r25847;
}

double f_id(double wj, double x) {
        double r25848 = wj;
        double r25849 = exp(r25848);
        double r25850 = r25848 * r25849;
        double r25851 = x;
        double r25852 = r25850 - r25851;
        double r25853 = r25849 + r25850;
        double r25854 = r25852 / r25853;
        double r25855 = r25848 - r25854;
        return r25855;
}


double f_of(float wj, float x) {
        float r25856 = wj;
        float r25857 = 2;
        float r25858 = pow(r25856, r25857);
        float r25859 = x;
        float r25860 = r25858 + r25859;
        float r25861 = r25856 * r25859;
        float r25862 = r25857 * r25861;
        float r25863 = r25860 - r25862;
        float r25864 = 7.565976676175648e-13;
        bool r25865 = r25863 <= r25864;
        float r25866 = exp(r25856);
        float r25867 = r25859 / r25866;
        float r25868 = 1;
        float r25869 = r25868 + r25856;
        float r25870 = r25867 / r25869;
        float r25871 = r25856 * r25856;
        float r25872 = 3;
        float r25873 = pow(r25856, r25872);
        float r25874 = r25871 - r25873;
        float r25875 = r25870 + r25874;
        float r25876 = +inf.0;
        bool r25877 = r25863 <= r25876;
        float r25878 = r25856 + r25868;
        float r25879 = r25856 / r25878;
        float r25880 = cbrt(r25866);
        float r25881 = r25859 / r25880;
        float r25882 = r25868 - r25871;
        float r25883 = r25880 * r25882;
        float r25884 = r25881 / r25883;
        float r25885 = r25868 - r25856;
        float r25886 = r25885 / r25880;
        float r25887 = r25884 * r25886;
        float r25888 = r25879 - r25887;
        float r25889 = r25856 - r25888;
        float r25890 = r25877 ? r25889 : r25889;
        float r25891 = r25865 ? r25875 : r25890;
        return r25891;
}

double f_od(double wj, double x) {
        double r25892 = wj;
        double r25893 = 2;
        double r25894 = pow(r25892, r25893);
        double r25895 = x;
        double r25896 = r25894 + r25895;
        double r25897 = r25892 * r25895;
        double r25898 = r25893 * r25897;
        double r25899 = r25896 - r25898;
        double r25900 = 7.565976676175648e-13;
        bool r25901 = r25899 <= r25900;
        double r25902 = exp(r25892);
        double r25903 = r25895 / r25902;
        double r25904 = 1;
        double r25905 = r25904 + r25892;
        double r25906 = r25903 / r25905;
        double r25907 = r25892 * r25892;
        double r25908 = 3;
        double r25909 = pow(r25892, r25908);
        double r25910 = r25907 - r25909;
        double r25911 = r25906 + r25910;
        double r25912 = +inf.0;
        bool r25913 = r25899 <= r25912;
        double r25914 = r25892 + r25904;
        double r25915 = r25892 / r25914;
        double r25916 = cbrt(r25902);
        double r25917 = r25895 / r25916;
        double r25918 = r25904 - r25907;
        double r25919 = r25916 * r25918;
        double r25920 = r25917 / r25919;
        double r25921 = r25904 - r25892;
        double r25922 = r25921 / r25916;
        double r25923 = r25920 * r25922;
        double r25924 = r25915 - r25923;
        double r25925 = r25892 - r25924;
        double r25926 = r25913 ? r25925 : r25925;
        double r25927 = r25901 ? r25911 : r25926;
        return r25927;
}

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 r25928, r25929, r25930, r25931, r25932, r25933, r25934, r25935;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r25928);
        mpfr_init(r25929);
        mpfr_init(r25930);
        mpfr_init(r25931);
        mpfr_init(r25932);
        mpfr_init(r25933);
        mpfr_init(r25934);
        mpfr_init(r25935);
}

double f_im(double wj, double x) {
        mpfr_set_d(r25928, wj, MPFR_RNDN);
        mpfr_exp(r25929, r25928, MPFR_RNDN);
        mpfr_mul(r25930, r25928, r25929, MPFR_RNDN);
        mpfr_set_d(r25931, x, MPFR_RNDN);
        mpfr_sub(r25932, r25930, r25931, MPFR_RNDN);
        mpfr_add(r25933, r25929, r25930, MPFR_RNDN);
        mpfr_div(r25934, r25932, r25933, MPFR_RNDN);
        mpfr_sub(r25935, r25928, r25934, MPFR_RNDN);
        return mpfr_get_d(r25935, MPFR_RNDN);
}

static mpfr_t r25936, r25937, r25938, r25939, r25940, r25941, r25942, r25943, r25944, r25945, r25946, r25947, r25948, r25949, r25950, r25951, r25952, r25953, r25954, r25955, r25956, r25957, r25958, r25959, r25960, r25961, r25962, r25963, r25964, r25965, r25966, r25967, r25968, r25969, r25970, r25971;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25936);
        mpfr_init_set_str(r25937, "2", 10, MPFR_RNDN);
        mpfr_init(r25938);
        mpfr_init(r25939);
        mpfr_init(r25940);
        mpfr_init(r25941);
        mpfr_init(r25942);
        mpfr_init(r25943);
        mpfr_init_set_str(r25944, "7.565976676175648e-13", 10, MPFR_RNDN);
        mpfr_init(r25945);
        mpfr_init(r25946);
        mpfr_init(r25947);
        mpfr_init_set_str(r25948, "1", 10, MPFR_RNDN);
        mpfr_init(r25949);
        mpfr_init(r25950);
        mpfr_init(r25951);
        mpfr_init_set_str(r25952, "3", 10, MPFR_RNDN);
        mpfr_init(r25953);
        mpfr_init(r25954);
        mpfr_init(r25955);
        mpfr_init_set_str(r25956, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r25957);
        mpfr_init(r25958);
        mpfr_init(r25959);
        mpfr_init(r25960);
        mpfr_init(r25961);
        mpfr_init(r25962);
        mpfr_init(r25963);
        mpfr_init(r25964);
        mpfr_init(r25965);
        mpfr_init(r25966);
        mpfr_init(r25967);
        mpfr_init(r25968);
        mpfr_init(r25969);
        mpfr_init(r25970);
        mpfr_init(r25971);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r25936, wj, MPFR_RNDN);
        ;
        mpfr_pow(r25938, r25936, r25937, MPFR_RNDN);
        mpfr_set_d(r25939, x, MPFR_RNDN);
        mpfr_add(r25940, r25938, r25939, MPFR_RNDN);
        mpfr_mul(r25941, r25936, r25939, MPFR_RNDN);
        mpfr_mul(r25942, r25937, r25941, MPFR_RNDN);
        mpfr_sub(r25943, r25940, r25942, MPFR_RNDN);
        ;
        mpfr_set_si(r25945, mpfr_cmp(r25943, r25944) <= 0, MPFR_RNDN);
        mpfr_exp(r25946, r25936, MPFR_RNDN);
        mpfr_div(r25947, r25939, r25946, MPFR_RNDN);
        ;
        mpfr_add(r25949, r25948, r25936, MPFR_RNDN);
        mpfr_div(r25950, r25947, r25949, MPFR_RNDN);
        mpfr_mul(r25951, r25936, r25936, MPFR_RNDN);
        ;
        mpfr_pow(r25953, r25936, r25952, MPFR_RNDN);
        mpfr_sub(r25954, r25951, r25953, MPFR_RNDN);
        mpfr_add(r25955, r25950, r25954, MPFR_RNDN);
        ;
        mpfr_set_si(r25957, mpfr_cmp(r25943, r25956) <= 0, MPFR_RNDN);
        mpfr_add(r25958, r25936, r25948, MPFR_RNDN);
        mpfr_div(r25959, r25936, r25958, MPFR_RNDN);
        mpfr_cbrt(r25960, r25946, MPFR_RNDN);
        mpfr_div(r25961, r25939, r25960, MPFR_RNDN);
        mpfr_sub(r25962, r25948, r25951, MPFR_RNDN);
        mpfr_mul(r25963, r25960, r25962, MPFR_RNDN);
        mpfr_div(r25964, r25961, r25963, MPFR_RNDN);
        mpfr_sub(r25965, r25948, r25936, MPFR_RNDN);
        mpfr_div(r25966, r25965, r25960, MPFR_RNDN);
        mpfr_mul(r25967, r25964, r25966, MPFR_RNDN);
        mpfr_sub(r25968, r25959, r25967, MPFR_RNDN);
        mpfr_sub(r25969, r25936, r25968, MPFR_RNDN);
        if (mpfr_get_si(r25957, MPFR_RNDN)) { mpfr_set(r25970, r25969, MPFR_RNDN); } else { mpfr_set(r25970, r25969, MPFR_RNDN); };
        if (mpfr_get_si(r25945, MPFR_RNDN)) { mpfr_set(r25971, r25955, MPFR_RNDN); } else { mpfr_set(r25971, r25970, MPFR_RNDN); };
        return mpfr_get_d(r25971, MPFR_RNDN);
}

static mpfr_t r25972, r25973, r25974, r25975, r25976, r25977, r25978, r25979, r25980, r25981, r25982, r25983, r25984, r25985, r25986, r25987, r25988, r25989, r25990, r25991, r25992, r25993, r25994, r25995, r25996, r25997, r25998, r25999, r26000, r26001, r26002, r26003, r26004, r26005, r26006, r26007;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25972);
        mpfr_init_set_str(r25973, "2", 10, MPFR_RNDN);
        mpfr_init(r25974);
        mpfr_init(r25975);
        mpfr_init(r25976);
        mpfr_init(r25977);
        mpfr_init(r25978);
        mpfr_init(r25979);
        mpfr_init_set_str(r25980, "7.565976676175648e-13", 10, MPFR_RNDN);
        mpfr_init(r25981);
        mpfr_init(r25982);
        mpfr_init(r25983);
        mpfr_init_set_str(r25984, "1", 10, MPFR_RNDN);
        mpfr_init(r25985);
        mpfr_init(r25986);
        mpfr_init(r25987);
        mpfr_init_set_str(r25988, "3", 10, MPFR_RNDN);
        mpfr_init(r25989);
        mpfr_init(r25990);
        mpfr_init(r25991);
        mpfr_init_set_str(r25992, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r25993);
        mpfr_init(r25994);
        mpfr_init(r25995);
        mpfr_init(r25996);
        mpfr_init(r25997);
        mpfr_init(r25998);
        mpfr_init(r25999);
        mpfr_init(r26000);
        mpfr_init(r26001);
        mpfr_init(r26002);
        mpfr_init(r26003);
        mpfr_init(r26004);
        mpfr_init(r26005);
        mpfr_init(r26006);
        mpfr_init(r26007);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r25972, wj, MPFR_RNDN);
        ;
        mpfr_pow(r25974, r25972, r25973, MPFR_RNDN);
        mpfr_set_d(r25975, x, MPFR_RNDN);
        mpfr_add(r25976, r25974, r25975, MPFR_RNDN);
        mpfr_mul(r25977, r25972, r25975, MPFR_RNDN);
        mpfr_mul(r25978, r25973, r25977, MPFR_RNDN);
        mpfr_sub(r25979, r25976, r25978, MPFR_RNDN);
        ;
        mpfr_set_si(r25981, mpfr_cmp(r25979, r25980) <= 0, MPFR_RNDN);
        mpfr_exp(r25982, r25972, MPFR_RNDN);
        mpfr_div(r25983, r25975, r25982, MPFR_RNDN);
        ;
        mpfr_add(r25985, r25984, r25972, MPFR_RNDN);
        mpfr_div(r25986, r25983, r25985, MPFR_RNDN);
        mpfr_mul(r25987, r25972, r25972, MPFR_RNDN);
        ;
        mpfr_pow(r25989, r25972, r25988, MPFR_RNDN);
        mpfr_sub(r25990, r25987, r25989, MPFR_RNDN);
        mpfr_add(r25991, r25986, r25990, MPFR_RNDN);
        ;
        mpfr_set_si(r25993, mpfr_cmp(r25979, r25992) <= 0, MPFR_RNDN);
        mpfr_add(r25994, r25972, r25984, MPFR_RNDN);
        mpfr_div(r25995, r25972, r25994, MPFR_RNDN);
        mpfr_cbrt(r25996, r25982, MPFR_RNDN);
        mpfr_div(r25997, r25975, r25996, MPFR_RNDN);
        mpfr_sub(r25998, r25984, r25987, MPFR_RNDN);
        mpfr_mul(r25999, r25996, r25998, MPFR_RNDN);
        mpfr_div(r26000, r25997, r25999, MPFR_RNDN);
        mpfr_sub(r26001, r25984, r25972, MPFR_RNDN);
        mpfr_div(r26002, r26001, r25996, MPFR_RNDN);
        mpfr_mul(r26003, r26000, r26002, MPFR_RNDN);
        mpfr_sub(r26004, r25995, r26003, MPFR_RNDN);
        mpfr_sub(r26005, r25972, r26004, MPFR_RNDN);
        if (mpfr_get_si(r25993, MPFR_RNDN)) { mpfr_set(r26006, r26005, MPFR_RNDN); } else { mpfr_set(r26006, r26005, MPFR_RNDN); };
        if (mpfr_get_si(r25981, MPFR_RNDN)) { mpfr_set(r26007, r25991, MPFR_RNDN); } else { mpfr_set(r26007, r26006, MPFR_RNDN); };
        return mpfr_get_d(r26007, MPFR_RNDN);
}