#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 r23959 = wj;
        float r23960 = exp(r23959);
        float r23961 = r23959 * r23960;
        float r23962 = x;
        float r23963 = r23961 - r23962;
        float r23964 = r23960 + r23961;
        float r23965 = r23963 / r23964;
        float r23966 = r23959 - r23965;
        return r23966;
}

double f_id(double wj, double x) {
        double r23967 = wj;
        double r23968 = exp(r23967);
        double r23969 = r23967 * r23968;
        double r23970 = x;
        double r23971 = r23969 - r23970;
        double r23972 = r23968 + r23969;
        double r23973 = r23971 / r23972;
        double r23974 = r23967 - r23973;
        return r23974;
}


double f_of(float wj, float x) {
        float r23975 = x;
        float r23976 = 1;
        float r23977 = wj;
        float r23978 = r23976 + r23977;
        float r23979 = exp(r23977);
        float r23980 = r23978 * r23979;
        float r23981 = r23975 / r23980;
        float r23982 = r23977 * r23977;
        float r23983 = 4;
        float r23984 = pow(r23977, r23983);
        float r23985 = 3;
        float r23986 = pow(r23977, r23985);
        float r23987 = r23984 - r23986;
        float r23988 = r23982 + r23987;
        float r23989 = sqrt(r23988);
        float r23990 = r23989 * r23989;
        float r23991 = r23981 + r23990;
        return r23991;
}

double f_od(double wj, double x) {
        double r23992 = x;
        double r23993 = 1;
        double r23994 = wj;
        double r23995 = r23993 + r23994;
        double r23996 = exp(r23994);
        double r23997 = r23995 * r23996;
        double r23998 = r23992 / r23997;
        double r23999 = r23994 * r23994;
        double r24000 = 4;
        double r24001 = pow(r23994, r24000);
        double r24002 = 3;
        double r24003 = pow(r23994, r24002);
        double r24004 = r24001 - r24003;
        double r24005 = r23999 + r24004;
        double r24006 = sqrt(r24005);
        double r24007 = r24006 * r24006;
        double r24008 = r23998 + r24007;
        return r24008;
}

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 r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r24009);
        mpfr_init(r24010);
        mpfr_init(r24011);
        mpfr_init(r24012);
        mpfr_init(r24013);
        mpfr_init(r24014);
        mpfr_init(r24015);
        mpfr_init(r24016);
}

double f_im(double wj, double x) {
        mpfr_set_d(r24009, wj, MPFR_RNDN);
        mpfr_exp(r24010, r24009, MPFR_RNDN);
        mpfr_mul(r24011, r24009, r24010, MPFR_RNDN);
        mpfr_set_d(r24012, x, MPFR_RNDN);
        mpfr_sub(r24013, r24011, r24012, MPFR_RNDN);
        mpfr_add(r24014, r24010, r24011, MPFR_RNDN);
        mpfr_div(r24015, r24013, r24014, MPFR_RNDN);
        mpfr_sub(r24016, r24009, r24015, MPFR_RNDN);
        return mpfr_get_d(r24016, MPFR_RNDN);
}

static mpfr_t r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r24017);
        mpfr_init_set_str(r24018, "1", 10, MPFR_RNDN);
        mpfr_init(r24019);
        mpfr_init(r24020);
        mpfr_init(r24021);
        mpfr_init(r24022);
        mpfr_init(r24023);
        mpfr_init(r24024);
        mpfr_init_set_str(r24025, "4", 10, MPFR_RNDN);
        mpfr_init(r24026);
        mpfr_init_set_str(r24027, "3", 10, MPFR_RNDN);
        mpfr_init(r24028);
        mpfr_init(r24029);
        mpfr_init(r24030);
        mpfr_init(r24031);
        mpfr_init(r24032);
        mpfr_init(r24033);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r24017, x, MPFR_RNDN);
        ;
        mpfr_set_d(r24019, wj, MPFR_RNDN);
        mpfr_add(r24020, r24018, r24019, MPFR_RNDN);
        mpfr_exp(r24021, r24019, MPFR_RNDN);
        mpfr_mul(r24022, r24020, r24021, MPFR_RNDN);
        mpfr_div(r24023, r24017, r24022, MPFR_RNDN);
        mpfr_mul(r24024, r24019, r24019, MPFR_RNDN);
        ;
        mpfr_pow(r24026, r24019, r24025, MPFR_RNDN);
        ;
        mpfr_pow(r24028, r24019, r24027, MPFR_RNDN);
        mpfr_sub(r24029, r24026, r24028, MPFR_RNDN);
        mpfr_add(r24030, r24024, r24029, MPFR_RNDN);
        mpfr_sqrt(r24031, r24030, MPFR_RNDN);
        mpfr_mul(r24032, r24031, r24031, MPFR_RNDN);
        mpfr_add(r24033, r24023, r24032, MPFR_RNDN);
        return mpfr_get_d(r24033, MPFR_RNDN);
}

static mpfr_t r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041, r24042, r24043, r24044, r24045, r24046, r24047, r24048, r24049, r24050;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r24034);
        mpfr_init_set_str(r24035, "1", 10, MPFR_RNDN);
        mpfr_init(r24036);
        mpfr_init(r24037);
        mpfr_init(r24038);
        mpfr_init(r24039);
        mpfr_init(r24040);
        mpfr_init(r24041);
        mpfr_init_set_str(r24042, "4", 10, MPFR_RNDN);
        mpfr_init(r24043);
        mpfr_init_set_str(r24044, "3", 10, MPFR_RNDN);
        mpfr_init(r24045);
        mpfr_init(r24046);
        mpfr_init(r24047);
        mpfr_init(r24048);
        mpfr_init(r24049);
        mpfr_init(r24050);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r24034, x, MPFR_RNDN);
        ;
        mpfr_set_d(r24036, wj, MPFR_RNDN);
        mpfr_add(r24037, r24035, r24036, MPFR_RNDN);
        mpfr_exp(r24038, r24036, MPFR_RNDN);
        mpfr_mul(r24039, r24037, r24038, MPFR_RNDN);
        mpfr_div(r24040, r24034, r24039, MPFR_RNDN);
        mpfr_mul(r24041, r24036, r24036, MPFR_RNDN);
        ;
        mpfr_pow(r24043, r24036, r24042, MPFR_RNDN);
        ;
        mpfr_pow(r24045, r24036, r24044, MPFR_RNDN);
        mpfr_sub(r24046, r24043, r24045, MPFR_RNDN);
        mpfr_add(r24047, r24041, r24046, MPFR_RNDN);
        mpfr_sqrt(r24048, r24047, MPFR_RNDN);
        mpfr_mul(r24049, r24048, r24048, MPFR_RNDN);
        mpfr_add(r24050, r24040, r24049, MPFR_RNDN);
        return mpfr_get_d(r24050, MPFR_RNDN);
}