#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 r19143 = wj;
        float r19144 = exp(r19143);
        float r19145 = r19143 * r19144;
        float r19146 = x;
        float r19147 = r19145 - r19146;
        float r19148 = r19144 + r19145;
        float r19149 = r19147 / r19148;
        float r19150 = r19143 - r19149;
        return r19150;
}

double f_id(double wj, double x) {
        double r19151 = wj;
        double r19152 = exp(r19151);
        double r19153 = r19151 * r19152;
        double r19154 = x;
        double r19155 = r19153 - r19154;
        double r19156 = r19152 + r19153;
        double r19157 = r19155 / r19156;
        double r19158 = r19151 - r19157;
        return r19158;
}


double f_of(float wj, float x) {
        float r19159 = wj;
        float r19160 = exp(r19159);
        float r19161 = r19159 * r19160;
        float r19162 = x;
        float r19163 = r19161 - r19162;
        float r19164 = r19160 + r19161;
        float r19165 = r19163 / r19164;
        float r19166 = r19159 - r19165;
        float r19167 = 1.0792540822943409e-17f;
        bool r19168 = r19166 <= r19167;
        float r19169 = r19159 * r19159;
        float r19170 = r19159 - r19169;
        float r19171 = 4.0f;
        float r19172 = pow(r19159, r19171);
        float r19173 = fma(r19159, r19170, r19172);
        float r19174 = fma(r19159, r19160, r19160);
        float r19175 = r19162 / r19174;
        float r19176 = r19173 + r19175;
        float r19177 = 1.0f;
        float r19178 = r19177 + r19159;
        float r19179 = r19159 / r19178;
        float r19180 = r19159 - r19179;
        float r19181 = r19162 / r19164;
        float r19182 = r19180 + r19181;
        float r19183 = r19168 ? r19176 : r19182;
        return r19183;
}

double f_od(double wj, double x) {
        double r19184 = wj;
        double r19185 = exp(r19184);
        double r19186 = r19184 * r19185;
        double r19187 = x;
        double r19188 = r19186 - r19187;
        double r19189 = r19185 + r19186;
        double r19190 = r19188 / r19189;
        double r19191 = r19184 - r19190;
        double r19192 = 1.0792540822943409e-17;
        bool r19193 = r19191 <= r19192;
        double r19194 = r19184 * r19184;
        double r19195 = r19184 - r19194;
        double r19196 = 4.0;
        double r19197 = pow(r19184, r19196);
        double r19198 = fma(r19184, r19195, r19197);
        double r19199 = fma(r19184, r19185, r19185);
        double r19200 = r19187 / r19199;
        double r19201 = r19198 + r19200;
        double r19202 = 1.0;
        double r19203 = r19202 + r19184;
        double r19204 = r19184 / r19203;
        double r19205 = r19184 - r19204;
        double r19206 = r19187 / r19189;
        double r19207 = r19205 + r19206;
        double r19208 = r19193 ? r19201 : r19207;
        return r19208;
}

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 r19209, r19210, r19211, r19212, r19213, r19214, r19215, r19216;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19209);
        mpfr_init(r19210);
        mpfr_init(r19211);
        mpfr_init(r19212);
        mpfr_init(r19213);
        mpfr_init(r19214);
        mpfr_init(r19215);
        mpfr_init(r19216);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19209, wj, MPFR_RNDN);
        mpfr_exp(r19210, r19209, MPFR_RNDN);
        mpfr_mul(r19211, r19209, r19210, MPFR_RNDN);
        mpfr_set_d(r19212, x, MPFR_RNDN);
        mpfr_sub(r19213, r19211, r19212, MPFR_RNDN);
        mpfr_add(r19214, r19210, r19211, MPFR_RNDN);
        mpfr_div(r19215, r19213, r19214, MPFR_RNDN);
        mpfr_sub(r19216, r19209, r19215, MPFR_RNDN);
        return mpfr_get_d(r19216, MPFR_RNDN);
}

static mpfr_t r19217, r19218, r19219, r19220, r19221, r19222, r19223, r19224, r19225, r19226, r19227, r19228, r19229, r19230, r19231, r19232, r19233, r19234, r19235, r19236, r19237, r19238, r19239, r19240, r19241;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19217);
        mpfr_init(r19218);
        mpfr_init(r19219);
        mpfr_init(r19220);
        mpfr_init(r19221);
        mpfr_init(r19222);
        mpfr_init(r19223);
        mpfr_init(r19224);
        mpfr_init_set_str(r19225, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19226);
        mpfr_init(r19227);
        mpfr_init(r19228);
        mpfr_init_set_str(r19229, "4", 10, MPFR_RNDN);
        mpfr_init(r19230);
        mpfr_init(r19231);
        mpfr_init(r19232);
        mpfr_init(r19233);
        mpfr_init(r19234);
        mpfr_init_set_str(r19235, "1", 10, MPFR_RNDN);
        mpfr_init(r19236);
        mpfr_init(r19237);
        mpfr_init(r19238);
        mpfr_init(r19239);
        mpfr_init(r19240);
        mpfr_init(r19241);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19217, wj, MPFR_RNDN);
        mpfr_exp(r19218, r19217, MPFR_RNDN);
        mpfr_mul(r19219, r19217, r19218, MPFR_RNDN);
        mpfr_set_d(r19220, x, MPFR_RNDN);
        mpfr_sub(r19221, r19219, r19220, MPFR_RNDN);
        mpfr_add(r19222, r19218, r19219, MPFR_RNDN);
        mpfr_div(r19223, r19221, r19222, MPFR_RNDN);
        mpfr_sub(r19224, r19217, r19223, MPFR_RNDN);
        ;
        mpfr_set_si(r19226, mpfr_cmp(r19224, r19225) <= 0, MPFR_RNDN);
        mpfr_sqr(r19227, r19217, MPFR_RNDN);
        mpfr_sub(r19228, r19217, r19227, MPFR_RNDN);
        ;
        mpfr_pow(r19230, r19217, r19229, MPFR_RNDN);
        mpfr_fma(r19231, r19217, r19228, r19230, MPFR_RNDN);
        mpfr_fma(r19232, r19217, r19218, r19218, MPFR_RNDN);
        mpfr_div(r19233, r19220, r19232, MPFR_RNDN);
        mpfr_add(r19234, r19231, r19233, MPFR_RNDN);
        ;
        mpfr_add(r19236, r19235, r19217, MPFR_RNDN);
        mpfr_div(r19237, r19217, r19236, MPFR_RNDN);
        mpfr_sub(r19238, r19217, r19237, MPFR_RNDN);
        mpfr_div(r19239, r19220, r19222, MPFR_RNDN);
        mpfr_add(r19240, r19238, r19239, MPFR_RNDN);
        if (mpfr_get_si(r19226, MPFR_RNDN)) { mpfr_set(r19241, r19234, MPFR_RNDN); } else { mpfr_set(r19241, r19240, MPFR_RNDN); };
        return mpfr_get_d(r19241, MPFR_RNDN);
}

static mpfr_t r19242, r19243, r19244, r19245, r19246, r19247, r19248, r19249, r19250, r19251, r19252, r19253, r19254, r19255, r19256, r19257, r19258, r19259, r19260, r19261, r19262, r19263, r19264, r19265, r19266;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19242);
        mpfr_init(r19243);
        mpfr_init(r19244);
        mpfr_init(r19245);
        mpfr_init(r19246);
        mpfr_init(r19247);
        mpfr_init(r19248);
        mpfr_init(r19249);
        mpfr_init_set_str(r19250, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19251);
        mpfr_init(r19252);
        mpfr_init(r19253);
        mpfr_init_set_str(r19254, "4", 10, MPFR_RNDN);
        mpfr_init(r19255);
        mpfr_init(r19256);
        mpfr_init(r19257);
        mpfr_init(r19258);
        mpfr_init(r19259);
        mpfr_init_set_str(r19260, "1", 10, MPFR_RNDN);
        mpfr_init(r19261);
        mpfr_init(r19262);
        mpfr_init(r19263);
        mpfr_init(r19264);
        mpfr_init(r19265);
        mpfr_init(r19266);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19242, wj, MPFR_RNDN);
        mpfr_exp(r19243, r19242, MPFR_RNDN);
        mpfr_mul(r19244, r19242, r19243, MPFR_RNDN);
        mpfr_set_d(r19245, x, MPFR_RNDN);
        mpfr_sub(r19246, r19244, r19245, MPFR_RNDN);
        mpfr_add(r19247, r19243, r19244, MPFR_RNDN);
        mpfr_div(r19248, r19246, r19247, MPFR_RNDN);
        mpfr_sub(r19249, r19242, r19248, MPFR_RNDN);
        ;
        mpfr_set_si(r19251, mpfr_cmp(r19249, r19250) <= 0, MPFR_RNDN);
        mpfr_sqr(r19252, r19242, MPFR_RNDN);
        mpfr_sub(r19253, r19242, r19252, MPFR_RNDN);
        ;
        mpfr_pow(r19255, r19242, r19254, MPFR_RNDN);
        mpfr_fma(r19256, r19242, r19253, r19255, MPFR_RNDN);
        mpfr_fma(r19257, r19242, r19243, r19243, MPFR_RNDN);
        mpfr_div(r19258, r19245, r19257, MPFR_RNDN);
        mpfr_add(r19259, r19256, r19258, MPFR_RNDN);
        ;
        mpfr_add(r19261, r19260, r19242, MPFR_RNDN);
        mpfr_div(r19262, r19242, r19261, MPFR_RNDN);
        mpfr_sub(r19263, r19242, r19262, MPFR_RNDN);
        mpfr_div(r19264, r19245, r19247, MPFR_RNDN);
        mpfr_add(r19265, r19263, r19264, MPFR_RNDN);
        if (mpfr_get_si(r19251, MPFR_RNDN)) { mpfr_set(r19266, r19259, MPFR_RNDN); } else { mpfr_set(r19266, r19265, MPFR_RNDN); };
        return mpfr_get_d(r19266, MPFR_RNDN);
}