#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 = 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;
        float r19263 = 4.477717099564361e-09f;
        bool r19264 = r19262 <= r19263;
        float r19265 = 4.0f;
        float r19266 = pow(r19255, r19265);
        float r19267 = fma(r19255, r19255, r19266);
        float r19268 = r19255 * (r19255 * r19255);
        float r19269 = r19267 - r19268;
        float r19270 = fma(r19255, r19256, r19256);
        float r19271 = r19258 / r19270;
        float r19272 = r19269 + r19271;
        float r19273 = 1.0f;
        float r19274 = r19273 + r19255;
        float r19275 = r19255 / r19274;
        float r19276 = r19255 - r19275;
        float r19277 = r19258 / r19260;
        float r19278 = r19276 + r19277;
        float r19279 = r19264 ? r19272 : r19278;
        return r19279;
}

double f_od(double wj, double x) {
        double r19280 = wj;
        double r19281 = exp(r19280);
        double r19282 = r19280 * r19281;
        double r19283 = x;
        double r19284 = r19282 - r19283;
        double r19285 = r19281 + r19282;
        double r19286 = r19284 / r19285;
        double r19287 = r19280 - r19286;
        double r19288 = 4.477717099564361e-09;
        bool r19289 = r19287 <= r19288;
        double r19290 = 4.0;
        double r19291 = pow(r19280, r19290);
        double r19292 = fma(r19280, r19280, r19291);
        double r19293 = r19280 * (r19280 * r19280);
        double r19294 = r19292 - r19293;
        double r19295 = fma(r19280, r19281, r19281);
        double r19296 = r19283 / r19295;
        double r19297 = r19294 + r19296;
        double r19298 = 1.0;
        double r19299 = r19298 + r19280;
        double r19300 = r19280 / r19299;
        double r19301 = r19280 - r19300;
        double r19302 = r19283 / r19285;
        double r19303 = r19301 + r19302;
        double r19304 = r19289 ? r19297 : r19303;
        return r19304;
}

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 r19305, r19306, r19307, r19308, r19309, r19310, r19311, r19312;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19305);
        mpfr_init(r19306);
        mpfr_init(r19307);
        mpfr_init(r19308);
        mpfr_init(r19309);
        mpfr_init(r19310);
        mpfr_init(r19311);
        mpfr_init(r19312);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19305, wj, MPFR_RNDN);
        mpfr_exp(r19306, r19305, MPFR_RNDN);
        mpfr_mul(r19307, r19305, r19306, MPFR_RNDN);
        mpfr_set_d(r19308, x, MPFR_RNDN);
        mpfr_sub(r19309, r19307, r19308, MPFR_RNDN);
        mpfr_add(r19310, r19306, r19307, MPFR_RNDN);
        mpfr_div(r19311, r19309, r19310, MPFR_RNDN);
        mpfr_sub(r19312, r19305, r19311, MPFR_RNDN);
        return mpfr_get_d(r19312, MPFR_RNDN);
}

static mpfr_t r19313, r19314, r19315, r19316, r19317, r19318, r19319, r19320, r19321, r19322, r19323, r19324, r19325, r19326, r19327, r19328, r19329, r19330, r19331, r19332, r19333, r19334, r19335, r19336, r19337;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19313);
        mpfr_init(r19314);
        mpfr_init(r19315);
        mpfr_init(r19316);
        mpfr_init(r19317);
        mpfr_init(r19318);
        mpfr_init(r19319);
        mpfr_init(r19320);
        mpfr_init_set_str(r19321, "4.477717099564361e-09", 10, MPFR_RNDN);
        mpfr_init(r19322);
        mpfr_init_set_str(r19323, "4", 10, MPFR_RNDN);
        mpfr_init(r19324);
        mpfr_init(r19325);
        mpfr_init(r19326);
        mpfr_init(r19327);
        mpfr_init(r19328);
        mpfr_init(r19329);
        mpfr_init(r19330);
        mpfr_init_set_str(r19331, "1", 10, MPFR_RNDN);
        mpfr_init(r19332);
        mpfr_init(r19333);
        mpfr_init(r19334);
        mpfr_init(r19335);
        mpfr_init(r19336);
        mpfr_init(r19337);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19313, wj, MPFR_RNDN);
        mpfr_exp(r19314, r19313, MPFR_RNDN);
        mpfr_mul(r19315, r19313, r19314, MPFR_RNDN);
        mpfr_set_d(r19316, x, MPFR_RNDN);
        mpfr_sub(r19317, r19315, r19316, MPFR_RNDN);
        mpfr_add(r19318, r19314, r19315, MPFR_RNDN);
        mpfr_div(r19319, r19317, r19318, MPFR_RNDN);
        mpfr_sub(r19320, r19313, r19319, MPFR_RNDN);
        ;
        mpfr_set_si(r19322, mpfr_cmp(r19320, r19321) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19324, r19313, r19323, MPFR_RNDN);
        mpfr_fma(r19325, r19313, r19313, r19324, MPFR_RNDN);
        mpfr_mul(r19326, r19313, r19313, MPFR_RNDN); mpfr_mul(r19326, r19326, r19313, MPFR_RNDN);
        mpfr_sub(r19327, r19325, r19326, MPFR_RNDN);
        mpfr_fma(r19328, r19313, r19314, r19314, MPFR_RNDN);
        mpfr_div(r19329, r19316, r19328, MPFR_RNDN);
        mpfr_add(r19330, r19327, r19329, MPFR_RNDN);
        ;
        mpfr_add(r19332, r19331, r19313, MPFR_RNDN);
        mpfr_div(r19333, r19313, r19332, MPFR_RNDN);
        mpfr_sub(r19334, r19313, r19333, MPFR_RNDN);
        mpfr_div(r19335, r19316, r19318, MPFR_RNDN);
        mpfr_add(r19336, r19334, r19335, MPFR_RNDN);
        if (mpfr_get_si(r19322, MPFR_RNDN)) { mpfr_set(r19337, r19330, MPFR_RNDN); } else { mpfr_set(r19337, r19336, MPFR_RNDN); };
        return mpfr_get_d(r19337, MPFR_RNDN);
}

static mpfr_t r19338, r19339, r19340, r19341, r19342, r19343, r19344, r19345, r19346, r19347, r19348, r19349, r19350, r19351, r19352, r19353, r19354, r19355, r19356, r19357, r19358, r19359, r19360, r19361, r19362;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19338);
        mpfr_init(r19339);
        mpfr_init(r19340);
        mpfr_init(r19341);
        mpfr_init(r19342);
        mpfr_init(r19343);
        mpfr_init(r19344);
        mpfr_init(r19345);
        mpfr_init_set_str(r19346, "4.477717099564361e-09", 10, MPFR_RNDN);
        mpfr_init(r19347);
        mpfr_init_set_str(r19348, "4", 10, MPFR_RNDN);
        mpfr_init(r19349);
        mpfr_init(r19350);
        mpfr_init(r19351);
        mpfr_init(r19352);
        mpfr_init(r19353);
        mpfr_init(r19354);
        mpfr_init(r19355);
        mpfr_init_set_str(r19356, "1", 10, MPFR_RNDN);
        mpfr_init(r19357);
        mpfr_init(r19358);
        mpfr_init(r19359);
        mpfr_init(r19360);
        mpfr_init(r19361);
        mpfr_init(r19362);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19338, wj, MPFR_RNDN);
        mpfr_exp(r19339, r19338, MPFR_RNDN);
        mpfr_mul(r19340, r19338, r19339, MPFR_RNDN);
        mpfr_set_d(r19341, x, MPFR_RNDN);
        mpfr_sub(r19342, r19340, r19341, MPFR_RNDN);
        mpfr_add(r19343, r19339, r19340, MPFR_RNDN);
        mpfr_div(r19344, r19342, r19343, MPFR_RNDN);
        mpfr_sub(r19345, r19338, r19344, MPFR_RNDN);
        ;
        mpfr_set_si(r19347, mpfr_cmp(r19345, r19346) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r19349, r19338, r19348, MPFR_RNDN);
        mpfr_fma(r19350, r19338, r19338, r19349, MPFR_RNDN);
        mpfr_mul(r19351, r19338, r19338, MPFR_RNDN); mpfr_mul(r19351, r19351, r19338, MPFR_RNDN);
        mpfr_sub(r19352, r19350, r19351, MPFR_RNDN);
        mpfr_fma(r19353, r19338, r19339, r19339, MPFR_RNDN);
        mpfr_div(r19354, r19341, r19353, MPFR_RNDN);
        mpfr_add(r19355, r19352, r19354, MPFR_RNDN);
        ;
        mpfr_add(r19357, r19356, r19338, MPFR_RNDN);
        mpfr_div(r19358, r19338, r19357, MPFR_RNDN);
        mpfr_sub(r19359, r19338, r19358, MPFR_RNDN);
        mpfr_div(r19360, r19341, r19343, MPFR_RNDN);
        mpfr_add(r19361, r19359, r19360, MPFR_RNDN);
        if (mpfr_get_si(r19347, MPFR_RNDN)) { mpfr_set(r19362, r19355, MPFR_RNDN); } else { mpfr_set(r19362, r19361, MPFR_RNDN); };
        return mpfr_get_d(r19362, MPFR_RNDN);
}