#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 r19259 = wj;
        float r19260 = exp(r19259);
        float r19261 = r19259 * r19260;
        float r19262 = x;
        float r19263 = r19261 - r19262;
        float r19264 = r19260 + r19261;
        float r19265 = r19263 / r19264;
        float r19266 = r19259 - r19265;
        return r19266;
}

double f_id(double wj, double x) {
        double r19267 = wj;
        double r19268 = exp(r19267);
        double r19269 = r19267 * r19268;
        double r19270 = x;
        double r19271 = r19269 - r19270;
        double r19272 = r19268 + r19269;
        double r19273 = r19271 / r19272;
        double r19274 = r19267 - r19273;
        return r19274;
}


double f_of(float wj, float x) {
        float r19275 = wj;
        float r19276 = r19275 * r19275;
        float r19277 = x;
        float r19278 = r19276 + r19277;
        float r19279 = 2.0f;
        float r19280 = r19275 * r19277;
        float r19281 = r19279 * r19280;
        float r19282 = r19278 - r19281;
        return r19282;
}

double f_od(double wj, double x) {
        double r19283 = wj;
        double r19284 = r19283 * r19283;
        double r19285 = x;
        double r19286 = r19284 + r19285;
        double r19287 = 2.0;
        double r19288 = r19283 * r19285;
        double r19289 = r19287 * r19288;
        double r19290 = r19286 - r19289;
        return r19290;
}

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 r19291, r19292, r19293, r19294, r19295, r19296, r19297, r19298;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19291);
        mpfr_init(r19292);
        mpfr_init(r19293);
        mpfr_init(r19294);
        mpfr_init(r19295);
        mpfr_init(r19296);
        mpfr_init(r19297);
        mpfr_init(r19298);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19291, wj, MPFR_RNDN);
        mpfr_exp(r19292, r19291, MPFR_RNDN);
        mpfr_mul(r19293, r19291, r19292, MPFR_RNDN);
        mpfr_set_d(r19294, x, MPFR_RNDN);
        mpfr_sub(r19295, r19293, r19294, MPFR_RNDN);
        mpfr_add(r19296, r19292, r19293, MPFR_RNDN);
        mpfr_div(r19297, r19295, r19296, MPFR_RNDN);
        mpfr_sub(r19298, r19291, r19297, MPFR_RNDN);
        return mpfr_get_d(r19298, MPFR_RNDN);
}

static mpfr_t r19299, r19300, r19301, r19302, r19303, r19304, r19305, r19306;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19299);
        mpfr_init(r19300);
        mpfr_init(r19301);
        mpfr_init(r19302);
        mpfr_init_set_str(r19303, "2", 10, MPFR_RNDN);
        mpfr_init(r19304);
        mpfr_init(r19305);
        mpfr_init(r19306);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19299, wj, MPFR_RNDN);
        mpfr_sqr(r19300, r19299, MPFR_RNDN);
        mpfr_set_d(r19301, x, MPFR_RNDN);
        mpfr_add(r19302, r19300, r19301, MPFR_RNDN);
        ;
        mpfr_mul(r19304, r19299, r19301, MPFR_RNDN);
        mpfr_mul(r19305, r19303, r19304, MPFR_RNDN);
        mpfr_sub(r19306, r19302, r19305, MPFR_RNDN);
        return mpfr_get_d(r19306, MPFR_RNDN);
}

static mpfr_t r19307, r19308, r19309, r19310, r19311, r19312, r19313, r19314;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19307);
        mpfr_init(r19308);
        mpfr_init(r19309);
        mpfr_init(r19310);
        mpfr_init_set_str(r19311, "2", 10, MPFR_RNDN);
        mpfr_init(r19312);
        mpfr_init(r19313);
        mpfr_init(r19314);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19307, wj, MPFR_RNDN);
        mpfr_sqr(r19308, r19307, MPFR_RNDN);
        mpfr_set_d(r19309, x, MPFR_RNDN);
        mpfr_add(r19310, r19308, r19309, MPFR_RNDN);
        ;
        mpfr_mul(r19312, r19307, r19309, MPFR_RNDN);
        mpfr_mul(r19313, r19311, r19312, MPFR_RNDN);
        mpfr_sub(r19314, r19310, r19313, MPFR_RNDN);
        return mpfr_get_d(r19314, MPFR_RNDN);
}