#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 r19191 = wj;
        float r19192 = exp(r19191);
        float r19193 = r19191 * r19192;
        float r19194 = x;
        float r19195 = r19193 - r19194;
        float r19196 = r19192 + r19193;
        float r19197 = r19195 / r19196;
        float r19198 = r19191 - r19197;
        return r19198;
}

double f_id(double wj, double x) {
        double r19199 = wj;
        double r19200 = exp(r19199);
        double r19201 = r19199 * r19200;
        double r19202 = x;
        double r19203 = r19201 - r19202;
        double r19204 = r19200 + r19201;
        double r19205 = r19203 / r19204;
        double r19206 = r19199 - r19205;
        return r19206;
}


double f_of(float wj, float x) {
        float r19207 = wj;
        float r19208 = exp(r19207);
        float r19209 = r19207 * r19208;
        float r19210 = x;
        float r19211 = r19209 - r19210;
        float r19212 = r19208 + r19209;
        float r19213 = r19211 / r19212;
        float r19214 = r19207 - r19213;
        float r19215 = 4.477717099564361e-09f;
        bool r19216 = r19214 <= r19215;
        float r19217 = r19207 * r19207;
        float r19218 = r19207 - r19217;
        float r19219 = 4.0f;
        float r19220 = pow(r19207, r19219);
        float r19221 = fma(r19207, r19218, r19220);
        float r19222 = fma(r19207, r19208, r19208);
        float r19223 = r19210 / r19222;
        float r19224 = r19221 + r19223;
        float r19225 = 1.0f;
        float r19226 = r19225 + r19207;
        float r19227 = r19207 / r19226;
        float r19228 = r19207 - r19227;
        float r19229 = r19210 / r19212;
        float r19230 = r19228 + r19229;
        float r19231 = r19216 ? r19224 : r19230;
        return r19231;
}

double f_od(double wj, double x) {
        double r19232 = wj;
        double r19233 = exp(r19232);
        double r19234 = r19232 * r19233;
        double r19235 = x;
        double r19236 = r19234 - r19235;
        double r19237 = r19233 + r19234;
        double r19238 = r19236 / r19237;
        double r19239 = r19232 - r19238;
        double r19240 = 4.477717099564361e-09;
        bool r19241 = r19239 <= r19240;
        double r19242 = r19232 * r19232;
        double r19243 = r19232 - r19242;
        double r19244 = 4.0;
        double r19245 = pow(r19232, r19244);
        double r19246 = fma(r19232, r19243, r19245);
        double r19247 = fma(r19232, r19233, r19233);
        double r19248 = r19235 / r19247;
        double r19249 = r19246 + r19248;
        double r19250 = 1.0;
        double r19251 = r19250 + r19232;
        double r19252 = r19232 / r19251;
        double r19253 = r19232 - r19252;
        double r19254 = r19235 / r19237;
        double r19255 = r19253 + r19254;
        double r19256 = r19241 ? r19249 : r19255;
        return r19256;
}

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 r19257, r19258, r19259, r19260, r19261, r19262, r19263, r19264;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19257);
        mpfr_init(r19258);
        mpfr_init(r19259);
        mpfr_init(r19260);
        mpfr_init(r19261);
        mpfr_init(r19262);
        mpfr_init(r19263);
        mpfr_init(r19264);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19257, wj, MPFR_RNDN);
        mpfr_exp(r19258, r19257, MPFR_RNDN);
        mpfr_mul(r19259, r19257, r19258, MPFR_RNDN);
        mpfr_set_d(r19260, x, MPFR_RNDN);
        mpfr_sub(r19261, r19259, r19260, MPFR_RNDN);
        mpfr_add(r19262, r19258, r19259, MPFR_RNDN);
        mpfr_div(r19263, r19261, r19262, MPFR_RNDN);
        mpfr_sub(r19264, r19257, r19263, MPFR_RNDN);
        return mpfr_get_d(r19264, MPFR_RNDN);
}

static mpfr_t r19265, r19266, r19267, r19268, r19269, r19270, r19271, r19272, r19273, r19274, r19275, r19276, r19277, r19278, r19279, r19280, r19281, r19282, r19283, r19284, r19285, r19286, r19287, r19288, r19289;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19265);
        mpfr_init(r19266);
        mpfr_init(r19267);
        mpfr_init(r19268);
        mpfr_init(r19269);
        mpfr_init(r19270);
        mpfr_init(r19271);
        mpfr_init(r19272);
        mpfr_init_set_str(r19273, "4.477717099564361e-09", 10, MPFR_RNDN);
        mpfr_init(r19274);
        mpfr_init(r19275);
        mpfr_init(r19276);
        mpfr_init_set_str(r19277, "4", 10, MPFR_RNDN);
        mpfr_init(r19278);
        mpfr_init(r19279);
        mpfr_init(r19280);
        mpfr_init(r19281);
        mpfr_init(r19282);
        mpfr_init_set_str(r19283, "1", 10, MPFR_RNDN);
        mpfr_init(r19284);
        mpfr_init(r19285);
        mpfr_init(r19286);
        mpfr_init(r19287);
        mpfr_init(r19288);
        mpfr_init(r19289);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19265, wj, MPFR_RNDN);
        mpfr_exp(r19266, r19265, MPFR_RNDN);
        mpfr_mul(r19267, r19265, r19266, MPFR_RNDN);
        mpfr_set_d(r19268, x, MPFR_RNDN);
        mpfr_sub(r19269, r19267, r19268, MPFR_RNDN);
        mpfr_add(r19270, r19266, r19267, MPFR_RNDN);
        mpfr_div(r19271, r19269, r19270, MPFR_RNDN);
        mpfr_sub(r19272, r19265, r19271, MPFR_RNDN);
        ;
        mpfr_set_si(r19274, mpfr_cmp(r19272, r19273) <= 0, MPFR_RNDN);
        mpfr_sqr(r19275, r19265, MPFR_RNDN);
        mpfr_sub(r19276, r19265, r19275, MPFR_RNDN);
        ;
        mpfr_pow(r19278, r19265, r19277, MPFR_RNDN);
        mpfr_fma(r19279, r19265, r19276, r19278, MPFR_RNDN);
        mpfr_fma(r19280, r19265, r19266, r19266, MPFR_RNDN);
        mpfr_div(r19281, r19268, r19280, MPFR_RNDN);
        mpfr_add(r19282, r19279, r19281, MPFR_RNDN);
        ;
        mpfr_add(r19284, r19283, r19265, MPFR_RNDN);
        mpfr_div(r19285, r19265, r19284, MPFR_RNDN);
        mpfr_sub(r19286, r19265, r19285, MPFR_RNDN);
        mpfr_div(r19287, r19268, r19270, MPFR_RNDN);
        mpfr_add(r19288, r19286, r19287, MPFR_RNDN);
        if (mpfr_get_si(r19274, MPFR_RNDN)) { mpfr_set(r19289, r19282, MPFR_RNDN); } else { mpfr_set(r19289, r19288, MPFR_RNDN); };
        return mpfr_get_d(r19289, MPFR_RNDN);
}

static mpfr_t r19290, r19291, r19292, r19293, r19294, r19295, r19296, r19297, r19298, r19299, r19300, r19301, r19302, r19303, r19304, r19305, r19306, r19307, r19308, r19309, r19310, r19311, r19312, r19313, r19314;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19290);
        mpfr_init(r19291);
        mpfr_init(r19292);
        mpfr_init(r19293);
        mpfr_init(r19294);
        mpfr_init(r19295);
        mpfr_init(r19296);
        mpfr_init(r19297);
        mpfr_init_set_str(r19298, "4.477717099564361e-09", 10, MPFR_RNDN);
        mpfr_init(r19299);
        mpfr_init(r19300);
        mpfr_init(r19301);
        mpfr_init_set_str(r19302, "4", 10, MPFR_RNDN);
        mpfr_init(r19303);
        mpfr_init(r19304);
        mpfr_init(r19305);
        mpfr_init(r19306);
        mpfr_init(r19307);
        mpfr_init_set_str(r19308, "1", 10, MPFR_RNDN);
        mpfr_init(r19309);
        mpfr_init(r19310);
        mpfr_init(r19311);
        mpfr_init(r19312);
        mpfr_init(r19313);
        mpfr_init(r19314);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19290, wj, MPFR_RNDN);
        mpfr_exp(r19291, r19290, MPFR_RNDN);
        mpfr_mul(r19292, r19290, r19291, MPFR_RNDN);
        mpfr_set_d(r19293, x, MPFR_RNDN);
        mpfr_sub(r19294, r19292, r19293, MPFR_RNDN);
        mpfr_add(r19295, r19291, r19292, MPFR_RNDN);
        mpfr_div(r19296, r19294, r19295, MPFR_RNDN);
        mpfr_sub(r19297, r19290, r19296, MPFR_RNDN);
        ;
        mpfr_set_si(r19299, mpfr_cmp(r19297, r19298) <= 0, MPFR_RNDN);
        mpfr_sqr(r19300, r19290, MPFR_RNDN);
        mpfr_sub(r19301, r19290, r19300, MPFR_RNDN);
        ;
        mpfr_pow(r19303, r19290, r19302, MPFR_RNDN);
        mpfr_fma(r19304, r19290, r19301, r19303, MPFR_RNDN);
        mpfr_fma(r19305, r19290, r19291, r19291, MPFR_RNDN);
        mpfr_div(r19306, r19293, r19305, MPFR_RNDN);
        mpfr_add(r19307, r19304, r19306, MPFR_RNDN);
        ;
        mpfr_add(r19309, r19308, r19290, MPFR_RNDN);
        mpfr_div(r19310, r19290, r19309, MPFR_RNDN);
        mpfr_sub(r19311, r19290, r19310, MPFR_RNDN);
        mpfr_div(r19312, r19293, r19295, MPFR_RNDN);
        mpfr_add(r19313, r19311, r19312, MPFR_RNDN);
        if (mpfr_get_si(r19299, MPFR_RNDN)) { mpfr_set(r19314, r19307, MPFR_RNDN); } else { mpfr_set(r19314, r19313, MPFR_RNDN); };
        return mpfr_get_d(r19314, MPFR_RNDN);
}