#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 r25334 = wj;
        float r25335 = exp(r25334);
        float r25336 = r25334 * r25335;
        float r25337 = x;
        float r25338 = r25336 - r25337;
        float r25339 = r25335 + r25336;
        float r25340 = r25338 / r25339;
        float r25341 = r25334 - r25340;
        return r25341;
}

double f_id(double wj, double x) {
        double r25342 = wj;
        double r25343 = exp(r25342);
        double r25344 = r25342 * r25343;
        double r25345 = x;
        double r25346 = r25344 - r25345;
        double r25347 = r25343 + r25344;
        double r25348 = r25346 / r25347;
        double r25349 = r25342 - r25348;
        return r25349;
}


double f_of(float wj, float x) {
        float r25350 = x;
        float r25351 = 1;
        float r25352 = wj;
        float r25353 = r25351 + r25352;
        float r25354 = exp(r25352);
        float r25355 = r25353 * r25354;
        float r25356 = r25350 / r25355;
        float r25357 = 4;
        float r25358 = pow(r25352, r25357);
        float r25359 = r25352 * r25352;
        float r25360 = r25358 + r25359;
        float r25361 = 3;
        float r25362 = pow(r25352, r25361);
        float r25363 = r25360 - r25362;
        float r25364 = pow(r25363, r25361);
        float r25365 = cbrt(r25364);
        float r25366 = r25356 + r25365;
        float r25367 = 2.8727360130407203e-08;
        bool r25368 = r25366 <= r25367;
        float r25369 = r25358 - r25362;
        float r25370 = r25359 + r25369;
        float r25371 = r25356 + r25370;
        float r25372 = r25352 / r25353;
        float r25373 = r25352 - r25372;
        float r25374 = r25352 * r25354;
        float r25375 = r25354 + r25374;
        float r25376 = r25350 / r25375;
        float r25377 = r25373 + r25376;
        float r25378 = r25368 ? r25371 : r25377;
        return r25378;
}

double f_od(double wj, double x) {
        double r25379 = x;
        double r25380 = 1;
        double r25381 = wj;
        double r25382 = r25380 + r25381;
        double r25383 = exp(r25381);
        double r25384 = r25382 * r25383;
        double r25385 = r25379 / r25384;
        double r25386 = 4;
        double r25387 = pow(r25381, r25386);
        double r25388 = r25381 * r25381;
        double r25389 = r25387 + r25388;
        double r25390 = 3;
        double r25391 = pow(r25381, r25390);
        double r25392 = r25389 - r25391;
        double r25393 = pow(r25392, r25390);
        double r25394 = cbrt(r25393);
        double r25395 = r25385 + r25394;
        double r25396 = 2.8727360130407203e-08;
        bool r25397 = r25395 <= r25396;
        double r25398 = r25387 - r25391;
        double r25399 = r25388 + r25398;
        double r25400 = r25385 + r25399;
        double r25401 = r25381 / r25382;
        double r25402 = r25381 - r25401;
        double r25403 = r25381 * r25383;
        double r25404 = r25383 + r25403;
        double r25405 = r25379 / r25404;
        double r25406 = r25402 + r25405;
        double r25407 = r25397 ? r25400 : r25406;
        return r25407;
}

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 r25408, r25409, r25410, r25411, r25412, r25413, r25414, r25415;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r25408);
        mpfr_init(r25409);
        mpfr_init(r25410);
        mpfr_init(r25411);
        mpfr_init(r25412);
        mpfr_init(r25413);
        mpfr_init(r25414);
        mpfr_init(r25415);
}

double f_im(double wj, double x) {
        mpfr_set_d(r25408, wj, MPFR_RNDN);
        mpfr_exp(r25409, r25408, MPFR_RNDN);
        mpfr_mul(r25410, r25408, r25409, MPFR_RNDN);
        mpfr_set_d(r25411, x, MPFR_RNDN);
        mpfr_sub(r25412, r25410, r25411, MPFR_RNDN);
        mpfr_add(r25413, r25409, r25410, MPFR_RNDN);
        mpfr_div(r25414, r25412, r25413, MPFR_RNDN);
        mpfr_sub(r25415, r25408, r25414, MPFR_RNDN);
        return mpfr_get_d(r25415, MPFR_RNDN);
}

static mpfr_t r25416, r25417, r25418, r25419, r25420, r25421, r25422, r25423, r25424, r25425, r25426, r25427, r25428, r25429, r25430, r25431, r25432, r25433, r25434, r25435, r25436, r25437, r25438, r25439, r25440, r25441, r25442, r25443, r25444;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25416);
        mpfr_init_set_str(r25417, "1", 10, MPFR_RNDN);
        mpfr_init(r25418);
        mpfr_init(r25419);
        mpfr_init(r25420);
        mpfr_init(r25421);
        mpfr_init(r25422);
        mpfr_init_set_str(r25423, "4", 10, MPFR_RNDN);
        mpfr_init(r25424);
        mpfr_init(r25425);
        mpfr_init(r25426);
        mpfr_init_set_str(r25427, "3", 10, MPFR_RNDN);
        mpfr_init(r25428);
        mpfr_init(r25429);
        mpfr_init(r25430);
        mpfr_init(r25431);
        mpfr_init(r25432);
        mpfr_init_set_str(r25433, "2.8727360130407203e-08", 10, MPFR_RNDN);
        mpfr_init(r25434);
        mpfr_init(r25435);
        mpfr_init(r25436);
        mpfr_init(r25437);
        mpfr_init(r25438);
        mpfr_init(r25439);
        mpfr_init(r25440);
        mpfr_init(r25441);
        mpfr_init(r25442);
        mpfr_init(r25443);
        mpfr_init(r25444);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r25416, x, MPFR_RNDN);
        ;
        mpfr_set_d(r25418, wj, MPFR_RNDN);
        mpfr_add(r25419, r25417, r25418, MPFR_RNDN);
        mpfr_exp(r25420, r25418, MPFR_RNDN);
        mpfr_mul(r25421, r25419, r25420, MPFR_RNDN);
        mpfr_div(r25422, r25416, r25421, MPFR_RNDN);
        ;
        mpfr_pow(r25424, r25418, r25423, MPFR_RNDN);
        mpfr_mul(r25425, r25418, r25418, MPFR_RNDN);
        mpfr_add(r25426, r25424, r25425, MPFR_RNDN);
        ;
        mpfr_pow(r25428, r25418, r25427, MPFR_RNDN);
        mpfr_sub(r25429, r25426, r25428, MPFR_RNDN);
        mpfr_pow(r25430, r25429, r25427, MPFR_RNDN);
        mpfr_cbrt(r25431, r25430, MPFR_RNDN);
        mpfr_add(r25432, r25422, r25431, MPFR_RNDN);
        ;
        mpfr_set_si(r25434, mpfr_cmp(r25432, r25433) <= 0, MPFR_RNDN);
        mpfr_sub(r25435, r25424, r25428, MPFR_RNDN);
        mpfr_add(r25436, r25425, r25435, MPFR_RNDN);
        mpfr_add(r25437, r25422, r25436, MPFR_RNDN);
        mpfr_div(r25438, r25418, r25419, MPFR_RNDN);
        mpfr_sub(r25439, r25418, r25438, MPFR_RNDN);
        mpfr_mul(r25440, r25418, r25420, MPFR_RNDN);
        mpfr_add(r25441, r25420, r25440, MPFR_RNDN);
        mpfr_div(r25442, r25416, r25441, MPFR_RNDN);
        mpfr_add(r25443, r25439, r25442, MPFR_RNDN);
        if (mpfr_get_si(r25434, MPFR_RNDN)) { mpfr_set(r25444, r25437, MPFR_RNDN); } else { mpfr_set(r25444, r25443, MPFR_RNDN); };
        return mpfr_get_d(r25444, MPFR_RNDN);
}

static mpfr_t r25445, r25446, r25447, r25448, r25449, r25450, r25451, r25452, r25453, r25454, r25455, r25456, r25457, r25458, r25459, r25460, r25461, r25462, r25463, r25464, r25465, r25466, r25467, r25468, r25469, r25470, r25471, r25472, r25473;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r25445);
        mpfr_init_set_str(r25446, "1", 10, MPFR_RNDN);
        mpfr_init(r25447);
        mpfr_init(r25448);
        mpfr_init(r25449);
        mpfr_init(r25450);
        mpfr_init(r25451);
        mpfr_init_set_str(r25452, "4", 10, MPFR_RNDN);
        mpfr_init(r25453);
        mpfr_init(r25454);
        mpfr_init(r25455);
        mpfr_init_set_str(r25456, "3", 10, MPFR_RNDN);
        mpfr_init(r25457);
        mpfr_init(r25458);
        mpfr_init(r25459);
        mpfr_init(r25460);
        mpfr_init(r25461);
        mpfr_init_set_str(r25462, "2.8727360130407203e-08", 10, MPFR_RNDN);
        mpfr_init(r25463);
        mpfr_init(r25464);
        mpfr_init(r25465);
        mpfr_init(r25466);
        mpfr_init(r25467);
        mpfr_init(r25468);
        mpfr_init(r25469);
        mpfr_init(r25470);
        mpfr_init(r25471);
        mpfr_init(r25472);
        mpfr_init(r25473);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r25445, x, MPFR_RNDN);
        ;
        mpfr_set_d(r25447, wj, MPFR_RNDN);
        mpfr_add(r25448, r25446, r25447, MPFR_RNDN);
        mpfr_exp(r25449, r25447, MPFR_RNDN);
        mpfr_mul(r25450, r25448, r25449, MPFR_RNDN);
        mpfr_div(r25451, r25445, r25450, MPFR_RNDN);
        ;
        mpfr_pow(r25453, r25447, r25452, MPFR_RNDN);
        mpfr_mul(r25454, r25447, r25447, MPFR_RNDN);
        mpfr_add(r25455, r25453, r25454, MPFR_RNDN);
        ;
        mpfr_pow(r25457, r25447, r25456, MPFR_RNDN);
        mpfr_sub(r25458, r25455, r25457, MPFR_RNDN);
        mpfr_pow(r25459, r25458, r25456, MPFR_RNDN);
        mpfr_cbrt(r25460, r25459, MPFR_RNDN);
        mpfr_add(r25461, r25451, r25460, MPFR_RNDN);
        ;
        mpfr_set_si(r25463, mpfr_cmp(r25461, r25462) <= 0, MPFR_RNDN);
        mpfr_sub(r25464, r25453, r25457, MPFR_RNDN);
        mpfr_add(r25465, r25454, r25464, MPFR_RNDN);
        mpfr_add(r25466, r25451, r25465, MPFR_RNDN);
        mpfr_div(r25467, r25447, r25448, MPFR_RNDN);
        mpfr_sub(r25468, r25447, r25467, MPFR_RNDN);
        mpfr_mul(r25469, r25447, r25449, MPFR_RNDN);
        mpfr_add(r25470, r25449, r25469, MPFR_RNDN);
        mpfr_div(r25471, r25445, r25470, MPFR_RNDN);
        mpfr_add(r25472, r25468, r25471, MPFR_RNDN);
        if (mpfr_get_si(r25463, MPFR_RNDN)) { mpfr_set(r25473, r25466, MPFR_RNDN); } else { mpfr_set(r25473, r25472, MPFR_RNDN); };
        return mpfr_get_d(r25473, MPFR_RNDN);
}