#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 r19239 = wj;
        float r19240 = exp(r19239);
        float r19241 = r19239 * r19240;
        float r19242 = x;
        float r19243 = r19241 - r19242;
        float r19244 = r19240 + r19241;
        float r19245 = r19243 / r19244;
        float r19246 = r19239 - r19245;
        return r19246;
}

double f_id(double wj, double x) {
        double r19247 = wj;
        double r19248 = exp(r19247);
        double r19249 = r19247 * r19248;
        double r19250 = x;
        double r19251 = r19249 - r19250;
        double r19252 = r19248 + r19249;
        double r19253 = r19251 / r19252;
        double r19254 = r19247 - r19253;
        return r19254;
}


double f_of(float wj, float x) {
        float r19255 = wj;
        float r19256 = 4.0f;
        float r19257 = pow(r19255, r19256);
        float r19258 = r19255 * r19255;
        float r19259 = r19255 * (r19255 * r19255);
        float r19260 = r19258 - r19259;
        float r19261 = r19257 + r19260;
        float r19262 = x;
        float r19263 = 1.0f;
        float r19264 = r19263 + r19255;
        float r19265 = exp(r19255);
        float r19266 = r19264 * r19265;
        float r19267 = r19262 / r19266;
        float r19268 = r19261 + r19267;
        return r19268;
}

double f_od(double wj, double x) {
        double r19269 = wj;
        double r19270 = 4.0;
        double r19271 = pow(r19269, r19270);
        double r19272 = r19269 * r19269;
        double r19273 = r19269 * (r19269 * r19269);
        double r19274 = r19272 - r19273;
        double r19275 = r19271 + r19274;
        double r19276 = x;
        double r19277 = 1.0;
        double r19278 = r19277 + r19269;
        double r19279 = exp(r19269);
        double r19280 = r19278 * r19279;
        double r19281 = r19276 / r19280;
        double r19282 = r19275 + r19281;
        return r19282;
}

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 r19283, r19284, r19285, r19286, r19287, r19288, r19289, r19290;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19283);
        mpfr_init(r19284);
        mpfr_init(r19285);
        mpfr_init(r19286);
        mpfr_init(r19287);
        mpfr_init(r19288);
        mpfr_init(r19289);
        mpfr_init(r19290);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19283, wj, MPFR_RNDN);
        mpfr_exp(r19284, r19283, MPFR_RNDN);
        mpfr_mul(r19285, r19283, r19284, MPFR_RNDN);
        mpfr_set_d(r19286, x, MPFR_RNDN);
        mpfr_sub(r19287, r19285, r19286, MPFR_RNDN);
        mpfr_add(r19288, r19284, r19285, MPFR_RNDN);
        mpfr_div(r19289, r19287, r19288, MPFR_RNDN);
        mpfr_sub(r19290, r19283, r19289, MPFR_RNDN);
        return mpfr_get_d(r19290, MPFR_RNDN);
}

static mpfr_t r19291, r19292, r19293, r19294, r19295, r19296, r19297, r19298, r19299, r19300, r19301, r19302, r19303, r19304;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19291);
        mpfr_init_set_str(r19292, "4", 10, MPFR_RNDN);
        mpfr_init(r19293);
        mpfr_init(r19294);
        mpfr_init(r19295);
        mpfr_init(r19296);
        mpfr_init(r19297);
        mpfr_init(r19298);
        mpfr_init_set_str(r19299, "1", 10, MPFR_RNDN);
        mpfr_init(r19300);
        mpfr_init(r19301);
        mpfr_init(r19302);
        mpfr_init(r19303);
        mpfr_init(r19304);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19291, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19293, r19291, r19292, MPFR_RNDN);
        mpfr_sqr(r19294, r19291, MPFR_RNDN);
        mpfr_mul(r19295, r19291, r19291, MPFR_RNDN); mpfr_mul(r19295, r19295, r19291, MPFR_RNDN);
        mpfr_sub(r19296, r19294, r19295, MPFR_RNDN);
        mpfr_add(r19297, r19293, r19296, MPFR_RNDN);
        mpfr_set_d(r19298, x, MPFR_RNDN);
        ;
        mpfr_add(r19300, r19299, r19291, MPFR_RNDN);
        mpfr_exp(r19301, r19291, MPFR_RNDN);
        mpfr_mul(r19302, r19300, r19301, MPFR_RNDN);
        mpfr_div(r19303, r19298, r19302, MPFR_RNDN);
        mpfr_add(r19304, r19297, r19303, MPFR_RNDN);
        return mpfr_get_d(r19304, MPFR_RNDN);
}

static mpfr_t r19305, r19306, r19307, r19308, r19309, r19310, r19311, r19312, r19313, r19314, r19315, r19316, r19317, r19318;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19305);
        mpfr_init_set_str(r19306, "4", 10, MPFR_RNDN);
        mpfr_init(r19307);
        mpfr_init(r19308);
        mpfr_init(r19309);
        mpfr_init(r19310);
        mpfr_init(r19311);
        mpfr_init(r19312);
        mpfr_init_set_str(r19313, "1", 10, MPFR_RNDN);
        mpfr_init(r19314);
        mpfr_init(r19315);
        mpfr_init(r19316);
        mpfr_init(r19317);
        mpfr_init(r19318);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19305, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19307, r19305, r19306, MPFR_RNDN);
        mpfr_sqr(r19308, r19305, MPFR_RNDN);
        mpfr_mul(r19309, r19305, r19305, MPFR_RNDN); mpfr_mul(r19309, r19309, r19305, MPFR_RNDN);
        mpfr_sub(r19310, r19308, r19309, MPFR_RNDN);
        mpfr_add(r19311, r19307, r19310, MPFR_RNDN);
        mpfr_set_d(r19312, x, MPFR_RNDN);
        ;
        mpfr_add(r19314, r19313, r19305, MPFR_RNDN);
        mpfr_exp(r19315, r19305, MPFR_RNDN);
        mpfr_mul(r19316, r19314, r19315, MPFR_RNDN);
        mpfr_div(r19317, r19312, r19316, MPFR_RNDN);
        mpfr_add(r19318, r19311, r19317, MPFR_RNDN);
        return mpfr_get_d(r19318, MPFR_RNDN);
}