#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 r25162 = wj;
        float r25163 = exp(r25162);
        float r25164 = r25162 * r25163;
        float r25165 = x;
        float r25166 = r25164 - r25165;
        float r25167 = r25163 + r25164;
        float r25168 = r25166 / r25167;
        float r25169 = r25162 - r25168;
        return r25169;
}

double f_id(double wj, double x) {
        double r25170 = wj;
        double r25171 = exp(r25170);
        double r25172 = r25170 * r25171;
        double r25173 = x;
        double r25174 = r25172 - r25173;
        double r25175 = r25171 + r25172;
        double r25176 = r25174 / r25175;
        double r25177 = r25170 - r25176;
        return r25177;
}


double f_of(float wj, float x) {
        float r25178 = x;
        float r25179 = wj;
        float r25180 = exp(r25179);
        float r25181 = fma(r25179, r25180, r25180);
        float r25182 = r25178 / r25181;
        float r25183 = r25179 * r25179;
        float r25184 = r25179 - r25183;
        float r25185 = 4;
        float r25186 = pow(r25179, r25185);
        float r25187 = fma(r25179, r25184, r25186);
        float r25188 = 3;
        float r25189 = pow(r25187, r25188);
        float r25190 = cbrt(r25189);
        float r25191 = r25182 + r25190;
        float r25192 = 7.565976676170708e-13;
        bool r25193 = r25191 <= r25192;
        float r25194 = r25183 * r25183;
        float r25195 = r25183 - r25194;
        float r25196 = fma(r25179, r25179, r25179);
        float r25197 = r25195 / r25196;
        float r25198 = fma(r25179, r25197, r25186);
        float r25199 = r25182 + r25198;
        float r25200 = +inf.0;
        bool r25201 = r25191 <= r25200;
        float r25202 = 1;
        float r25203 = r25202 + r25179;
        float r25204 = r25179 / r25203;
        float r25205 = r25179 - r25204;
        float r25206 = r25179 * r25180;
        float r25207 = r25180 + r25206;
        float r25208 = r25178 / r25207;
        float r25209 = r25205 + r25208;
        float r25210 = r25201 ? r25209 : r25209;
        float r25211 = r25193 ? r25199 : r25210;
        return r25211;
}

double f_od(double wj, double x) {
        double r25212 = x;
        double r25213 = wj;
        double r25214 = exp(r25213);
        double r25215 = fma(r25213, r25214, r25214);
        double r25216 = r25212 / r25215;
        double r25217 = r25213 * r25213;
        double r25218 = r25213 - r25217;
        double r25219 = 4;
        double r25220 = pow(r25213, r25219);
        double r25221 = fma(r25213, r25218, r25220);
        double r25222 = 3;
        double r25223 = pow(r25221, r25222);
        double r25224 = cbrt(r25223);
        double r25225 = r25216 + r25224;
        double r25226 = 7.565976676170708e-13;
        bool r25227 = r25225 <= r25226;
        double r25228 = r25217 * r25217;
        double r25229 = r25217 - r25228;
        double r25230 = fma(r25213, r25213, r25213);
        double r25231 = r25229 / r25230;
        double r25232 = fma(r25213, r25231, r25220);
        double r25233 = r25216 + r25232;
        double r25234 = +inf.0;
        bool r25235 = r25225 <= r25234;
        double r25236 = 1;
        double r25237 = r25236 + r25213;
        double r25238 = r25213 / r25237;
        double r25239 = r25213 - r25238;
        double r25240 = r25213 * r25214;
        double r25241 = r25214 + r25240;
        double r25242 = r25212 / r25241;
        double r25243 = r25239 + r25242;
        double r25244 = r25235 ? r25243 : r25243;
        double r25245 = r25227 ? r25233 : r25244;
        return r25245;
}

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 r25246, r25247, r25248, r25249, r25250, r25251, r25252, r25253;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r25246);
        mpfr_init(r25247);
        mpfr_init(r25248);
        mpfr_init(r25249);
        mpfr_init(r25250);
        mpfr_init(r25251);
        mpfr_init(r25252);
        mpfr_init(r25253);
}

double f_im(double wj, double x) {
        mpfr_set_d(r25246, wj, MPFR_RNDN);
        mpfr_exp(r25247, r25246, MPFR_RNDN);
        mpfr_mul(r25248, r25246, r25247, MPFR_RNDN);
        mpfr_set_d(r25249, x, MPFR_RNDN);
        mpfr_sub(r25250, r25248, r25249, MPFR_RNDN);
        mpfr_add(r25251, r25247, r25248, MPFR_RNDN);
        mpfr_div(r25252, r25250, r25251, MPFR_RNDN);
        mpfr_sub(r25253, r25246, r25252, MPFR_RNDN);
        return mpfr_get_d(r25253, MPFR_RNDN);
}

static mpfr_t r25254, r25255, r25256, r25257, r25258, r25259, r25260, r25261, r25262, r25263, r25264, r25265, r25266, r25267, r25268, r25269, r25270, r25271, r25272, r25273, r25274, r25275, r25276, r25277, r25278, r25279, r25280, r25281, r25282, r25283, r25284, r25285, r25286, r25287;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25254);
        mpfr_init(r25255);
        mpfr_init(r25256);
        mpfr_init(r25257);
        mpfr_init(r25258);
        mpfr_init(r25259);
        mpfr_init(r25260);
        mpfr_init_set_str(r25261, "4", 10, MPFR_RNDN);
        mpfr_init(r25262);
        mpfr_init(r25263);
        mpfr_init_set_str(r25264, "3", 10, MPFR_RNDN);
        mpfr_init(r25265);
        mpfr_init(r25266);
        mpfr_init(r25267);
        mpfr_init_set_str(r25268, "7.565976676170708e-13", 10, MPFR_RNDN);
        mpfr_init(r25269);
        mpfr_init(r25270);
        mpfr_init(r25271);
        mpfr_init(r25272);
        mpfr_init(r25273);
        mpfr_init(r25274);
        mpfr_init(r25275);
        mpfr_init_set_str(r25276, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r25277);
        mpfr_init_set_str(r25278, "1", 10, MPFR_RNDN);
        mpfr_init(r25279);
        mpfr_init(r25280);
        mpfr_init(r25281);
        mpfr_init(r25282);
        mpfr_init(r25283);
        mpfr_init(r25284);
        mpfr_init(r25285);
        mpfr_init(r25286);
        mpfr_init(r25287);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r25254, x, MPFR_RNDN);
        mpfr_set_d(r25255, wj, MPFR_RNDN);
        mpfr_exp(r25256, r25255, MPFR_RNDN);
        mpfr_fma(r25257, r25255, r25256, r25256, MPFR_RNDN);
        mpfr_div(r25258, r25254, r25257, MPFR_RNDN);
        mpfr_mul(r25259, r25255, r25255, MPFR_RNDN);
        mpfr_sub(r25260, r25255, r25259, MPFR_RNDN);
        ;
        mpfr_pow(r25262, r25255, r25261, MPFR_RNDN);
        mpfr_fma(r25263, r25255, r25260, r25262, MPFR_RNDN);
        ;
        mpfr_pow(r25265, r25263, r25264, MPFR_RNDN);
        mpfr_cbrt(r25266, r25265, MPFR_RNDN);
        mpfr_add(r25267, r25258, r25266, MPFR_RNDN);
        ;
        mpfr_set_si(r25269, mpfr_cmp(r25267, r25268) <= 0, MPFR_RNDN);
        mpfr_mul(r25270, r25259, r25259, MPFR_RNDN);
        mpfr_sub(r25271, r25259, r25270, MPFR_RNDN);
        mpfr_fma(r25272, r25255, r25255, r25255, MPFR_RNDN);
        mpfr_div(r25273, r25271, r25272, MPFR_RNDN);
        mpfr_fma(r25274, r25255, r25273, r25262, MPFR_RNDN);
        mpfr_add(r25275, r25258, r25274, MPFR_RNDN);
        ;
        mpfr_set_si(r25277, mpfr_cmp(r25267, r25276) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r25279, r25278, r25255, MPFR_RNDN);
        mpfr_div(r25280, r25255, r25279, MPFR_RNDN);
        mpfr_sub(r25281, r25255, r25280, MPFR_RNDN);
        mpfr_mul(r25282, r25255, r25256, MPFR_RNDN);
        mpfr_add(r25283, r25256, r25282, MPFR_RNDN);
        mpfr_div(r25284, r25254, r25283, MPFR_RNDN);
        mpfr_add(r25285, r25281, r25284, MPFR_RNDN);
        if (mpfr_get_si(r25277, MPFR_RNDN)) { mpfr_set(r25286, r25285, MPFR_RNDN); } else { mpfr_set(r25286, r25285, MPFR_RNDN); };
        if (mpfr_get_si(r25269, MPFR_RNDN)) { mpfr_set(r25287, r25275, MPFR_RNDN); } else { mpfr_set(r25287, r25286, MPFR_RNDN); };
        return mpfr_get_d(r25287, MPFR_RNDN);
}

static mpfr_t r25288, r25289, r25290, r25291, r25292, r25293, r25294, r25295, r25296, r25297, r25298, r25299, r25300, r25301, r25302, r25303, r25304, r25305, r25306, r25307, r25308, r25309, r25310, r25311, r25312, r25313, r25314, r25315, r25316, r25317, r25318, r25319, r25320, r25321;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25288);
        mpfr_init(r25289);
        mpfr_init(r25290);
        mpfr_init(r25291);
        mpfr_init(r25292);
        mpfr_init(r25293);
        mpfr_init(r25294);
        mpfr_init_set_str(r25295, "4", 10, MPFR_RNDN);
        mpfr_init(r25296);
        mpfr_init(r25297);
        mpfr_init_set_str(r25298, "3", 10, MPFR_RNDN);
        mpfr_init(r25299);
        mpfr_init(r25300);
        mpfr_init(r25301);
        mpfr_init_set_str(r25302, "7.565976676170708e-13", 10, MPFR_RNDN);
        mpfr_init(r25303);
        mpfr_init(r25304);
        mpfr_init(r25305);
        mpfr_init(r25306);
        mpfr_init(r25307);
        mpfr_init(r25308);
        mpfr_init(r25309);
        mpfr_init_set_str(r25310, "+inf.0", 10, MPFR_RNDN);
        mpfr_init(r25311);
        mpfr_init_set_str(r25312, "1", 10, MPFR_RNDN);
        mpfr_init(r25313);
        mpfr_init(r25314);
        mpfr_init(r25315);
        mpfr_init(r25316);
        mpfr_init(r25317);
        mpfr_init(r25318);
        mpfr_init(r25319);
        mpfr_init(r25320);
        mpfr_init(r25321);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r25288, x, MPFR_RNDN);
        mpfr_set_d(r25289, wj, MPFR_RNDN);
        mpfr_exp(r25290, r25289, MPFR_RNDN);
        mpfr_fma(r25291, r25289, r25290, r25290, MPFR_RNDN);
        mpfr_div(r25292, r25288, r25291, MPFR_RNDN);
        mpfr_mul(r25293, r25289, r25289, MPFR_RNDN);
        mpfr_sub(r25294, r25289, r25293, MPFR_RNDN);
        ;
        mpfr_pow(r25296, r25289, r25295, MPFR_RNDN);
        mpfr_fma(r25297, r25289, r25294, r25296, MPFR_RNDN);
        ;
        mpfr_pow(r25299, r25297, r25298, MPFR_RNDN);
        mpfr_cbrt(r25300, r25299, MPFR_RNDN);
        mpfr_add(r25301, r25292, r25300, MPFR_RNDN);
        ;
        mpfr_set_si(r25303, mpfr_cmp(r25301, r25302) <= 0, MPFR_RNDN);
        mpfr_mul(r25304, r25293, r25293, MPFR_RNDN);
        mpfr_sub(r25305, r25293, r25304, MPFR_RNDN);
        mpfr_fma(r25306, r25289, r25289, r25289, MPFR_RNDN);
        mpfr_div(r25307, r25305, r25306, MPFR_RNDN);
        mpfr_fma(r25308, r25289, r25307, r25296, MPFR_RNDN);
        mpfr_add(r25309, r25292, r25308, MPFR_RNDN);
        ;
        mpfr_set_si(r25311, mpfr_cmp(r25301, r25310) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r25313, r25312, r25289, MPFR_RNDN);
        mpfr_div(r25314, r25289, r25313, MPFR_RNDN);
        mpfr_sub(r25315, r25289, r25314, MPFR_RNDN);
        mpfr_mul(r25316, r25289, r25290, MPFR_RNDN);
        mpfr_add(r25317, r25290, r25316, MPFR_RNDN);
        mpfr_div(r25318, r25288, r25317, MPFR_RNDN);
        mpfr_add(r25319, r25315, r25318, MPFR_RNDN);
        if (mpfr_get_si(r25311, MPFR_RNDN)) { mpfr_set(r25320, r25319, MPFR_RNDN); } else { mpfr_set(r25320, r25319, MPFR_RNDN); };
        if (mpfr_get_si(r25303, MPFR_RNDN)) { mpfr_set(r25321, r25309, MPFR_RNDN); } else { mpfr_set(r25321, r25320, MPFR_RNDN); };
        return mpfr_get_d(r25321, MPFR_RNDN);
}