#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 r19255 = wj;
        float r19256 = exp(r19255);
        float r19257 = r19255 * r19256;
        float r19258 = x;
        float r19259 = r19257 - r19258;
        float r19260 = r19256 + r19257;
        float r19261 = r19259 / r19260;
        float r19262 = r19255 - r19261;
        return r19262;
}

double f_id(double wj, double x) {
        double r19263 = wj;
        double r19264 = exp(r19263);
        double r19265 = r19263 * r19264;
        double r19266 = x;
        double r19267 = r19265 - r19266;
        double r19268 = r19264 + r19265;
        double r19269 = r19267 / r19268;
        double r19270 = r19263 - r19269;
        return r19270;
}


double f_of(float wj, float x) {
        float r19271 = wj;
        float r19272 = exp(r19271);
        float r19273 = r19271 * r19272;
        float r19274 = x;
        float r19275 = r19273 - r19274;
        float r19276 = r19272 + r19273;
        float r19277 = r19275 / r19276;
        float r19278 = r19271 - r19277;
        float r19279 = 1.0792540822943409e-17f;
        bool r19280 = r19278 <= r19279;
        float r19281 = 4.0f;
        float r19282 = pow(r19271, r19281);
        float r19283 = fma(r19271, r19271, r19282);
        float r19284 = r19271 * (r19271 * r19271);
        float r19285 = r19283 - r19284;
        float r19286 = fma(r19271, r19272, r19272);
        float r19287 = r19274 / r19286;
        float r19288 = r19285 + r19287;
        float r19289 = 1.0f;
        float r19290 = r19289 + r19271;
        float r19291 = r19271 / r19290;
        float r19292 = r19271 - r19291;
        float r19293 = r19274 / r19276;
        float r19294 = r19292 + r19293;
        float r19295 = r19280 ? r19288 : r19294;
        return r19295;
}

double f_od(double wj, double x) {
        double r19296 = wj;
        double r19297 = exp(r19296);
        double r19298 = r19296 * r19297;
        double r19299 = x;
        double r19300 = r19298 - r19299;
        double r19301 = r19297 + r19298;
        double r19302 = r19300 / r19301;
        double r19303 = r19296 - r19302;
        double r19304 = 1.0792540822943409e-17;
        bool r19305 = r19303 <= r19304;
        double r19306 = 4.0;
        double r19307 = pow(r19296, r19306);
        double r19308 = fma(r19296, r19296, r19307);
        double r19309 = r19296 * (r19296 * r19296);
        double r19310 = r19308 - r19309;
        double r19311 = fma(r19296, r19297, r19297);
        double r19312 = r19299 / r19311;
        double r19313 = r19310 + r19312;
        double r19314 = 1.0;
        double r19315 = r19314 + r19296;
        double r19316 = r19296 / r19315;
        double r19317 = r19296 - r19316;
        double r19318 = r19299 / r19301;
        double r19319 = r19317 + r19318;
        double r19320 = r19305 ? r19313 : r19319;
        return r19320;
}

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 r19321, r19322, r19323, r19324, r19325, r19326, r19327, r19328;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19321);
        mpfr_init(r19322);
        mpfr_init(r19323);
        mpfr_init(r19324);
        mpfr_init(r19325);
        mpfr_init(r19326);
        mpfr_init(r19327);
        mpfr_init(r19328);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19321, wj, MPFR_RNDN);
        mpfr_exp(r19322, r19321, MPFR_RNDN);
        mpfr_mul(r19323, r19321, r19322, MPFR_RNDN);
        mpfr_set_d(r19324, x, MPFR_RNDN);
        mpfr_sub(r19325, r19323, r19324, MPFR_RNDN);
        mpfr_add(r19326, r19322, r19323, MPFR_RNDN);
        mpfr_div(r19327, r19325, r19326, MPFR_RNDN);
        mpfr_sub(r19328, r19321, r19327, MPFR_RNDN);
        return mpfr_get_d(r19328, MPFR_RNDN);
}

static mpfr_t r19329, r19330, r19331, r19332, r19333, r19334, r19335, r19336, r19337, r19338, r19339, r19340, r19341, r19342, r19343, r19344, r19345, r19346, r19347, r19348, r19349, r19350, r19351, r19352, r19353;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19329);
        mpfr_init(r19330);
        mpfr_init(r19331);
        mpfr_init(r19332);
        mpfr_init(r19333);
        mpfr_init(r19334);
        mpfr_init(r19335);
        mpfr_init(r19336);
        mpfr_init_set_str(r19337, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19338);
        mpfr_init_set_str(r19339, "4", 10, MPFR_RNDN);
        mpfr_init(r19340);
        mpfr_init(r19341);
        mpfr_init(r19342);
        mpfr_init(r19343);
        mpfr_init(r19344);
        mpfr_init(r19345);
        mpfr_init(r19346);
        mpfr_init_set_str(r19347, "1", 10, MPFR_RNDN);
        mpfr_init(r19348);
        mpfr_init(r19349);
        mpfr_init(r19350);
        mpfr_init(r19351);
        mpfr_init(r19352);
        mpfr_init(r19353);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19329, wj, MPFR_RNDN);
        mpfr_exp(r19330, r19329, MPFR_RNDN);
        mpfr_mul(r19331, r19329, r19330, MPFR_RNDN);
        mpfr_set_d(r19332, x, MPFR_RNDN);
        mpfr_sub(r19333, r19331, r19332, MPFR_RNDN);
        mpfr_add(r19334, r19330, r19331, MPFR_RNDN);
        mpfr_div(r19335, r19333, r19334, MPFR_RNDN);
        mpfr_sub(r19336, r19329, r19335, MPFR_RNDN);
        ;
        mpfr_set_si(r19338, mpfr_cmp(r19336, r19337) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19340, r19329, r19339, MPFR_RNDN);
        mpfr_fma(r19341, r19329, r19329, r19340, MPFR_RNDN);
        mpfr_mul(r19342, r19329, r19329, MPFR_RNDN); mpfr_mul(r19342, r19342, r19329, MPFR_RNDN);
        mpfr_sub(r19343, r19341, r19342, MPFR_RNDN);
        mpfr_fma(r19344, r19329, r19330, r19330, MPFR_RNDN);
        mpfr_div(r19345, r19332, r19344, MPFR_RNDN);
        mpfr_add(r19346, r19343, r19345, MPFR_RNDN);
        ;
        mpfr_add(r19348, r19347, r19329, MPFR_RNDN);
        mpfr_div(r19349, r19329, r19348, MPFR_RNDN);
        mpfr_sub(r19350, r19329, r19349, MPFR_RNDN);
        mpfr_div(r19351, r19332, r19334, MPFR_RNDN);
        mpfr_add(r19352, r19350, r19351, MPFR_RNDN);
        if (mpfr_get_si(r19338, MPFR_RNDN)) { mpfr_set(r19353, r19346, MPFR_RNDN); } else { mpfr_set(r19353, r19352, MPFR_RNDN); };
        return mpfr_get_d(r19353, MPFR_RNDN);
}

static mpfr_t r19354, r19355, r19356, r19357, r19358, r19359, r19360, r19361, r19362, r19363, r19364, r19365, r19366, r19367, r19368, r19369, r19370, r19371, r19372, r19373, r19374, r19375, r19376, r19377, r19378;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19354);
        mpfr_init(r19355);
        mpfr_init(r19356);
        mpfr_init(r19357);
        mpfr_init(r19358);
        mpfr_init(r19359);
        mpfr_init(r19360);
        mpfr_init(r19361);
        mpfr_init_set_str(r19362, "1.0792540822943409e-17", 10, MPFR_RNDN);
        mpfr_init(r19363);
        mpfr_init_set_str(r19364, "4", 10, MPFR_RNDN);
        mpfr_init(r19365);
        mpfr_init(r19366);
        mpfr_init(r19367);
        mpfr_init(r19368);
        mpfr_init(r19369);
        mpfr_init(r19370);
        mpfr_init(r19371);
        mpfr_init_set_str(r19372, "1", 10, MPFR_RNDN);
        mpfr_init(r19373);
        mpfr_init(r19374);
        mpfr_init(r19375);
        mpfr_init(r19376);
        mpfr_init(r19377);
        mpfr_init(r19378);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19354, wj, MPFR_RNDN);
        mpfr_exp(r19355, r19354, MPFR_RNDN);
        mpfr_mul(r19356, r19354, r19355, MPFR_RNDN);
        mpfr_set_d(r19357, x, MPFR_RNDN);
        mpfr_sub(r19358, r19356, r19357, MPFR_RNDN);
        mpfr_add(r19359, r19355, r19356, MPFR_RNDN);
        mpfr_div(r19360, r19358, r19359, MPFR_RNDN);
        mpfr_sub(r19361, r19354, r19360, MPFR_RNDN);
        ;
        mpfr_set_si(r19363, mpfr_cmp(r19361, r19362) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19365, r19354, r19364, MPFR_RNDN);
        mpfr_fma(r19366, r19354, r19354, r19365, MPFR_RNDN);
        mpfr_mul(r19367, r19354, r19354, MPFR_RNDN); mpfr_mul(r19367, r19367, r19354, MPFR_RNDN);
        mpfr_sub(r19368, r19366, r19367, MPFR_RNDN);
        mpfr_fma(r19369, r19354, r19355, r19355, MPFR_RNDN);
        mpfr_div(r19370, r19357, r19369, MPFR_RNDN);
        mpfr_add(r19371, r19368, r19370, MPFR_RNDN);
        ;
        mpfr_add(r19373, r19372, r19354, MPFR_RNDN);
        mpfr_div(r19374, r19354, r19373, MPFR_RNDN);
        mpfr_sub(r19375, r19354, r19374, MPFR_RNDN);
        mpfr_div(r19376, r19357, r19359, MPFR_RNDN);
        mpfr_add(r19377, r19375, r19376, MPFR_RNDN);
        if (mpfr_get_si(r19363, MPFR_RNDN)) { mpfr_set(r19378, r19371, MPFR_RNDN); } else { mpfr_set(r19378, r19377, MPFR_RNDN); };
        return mpfr_get_d(r19378, MPFR_RNDN);
}