#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 r23346 = wj;
        float r23347 = exp(r23346);
        float r23348 = r23346 * r23347;
        float r23349 = x;
        float r23350 = r23348 - r23349;
        float r23351 = r23347 + r23348;
        float r23352 = r23350 / r23351;
        float r23353 = r23346 - r23352;
        return r23353;
}

double f_id(double wj, double x) {
        double r23354 = wj;
        double r23355 = exp(r23354);
        double r23356 = r23354 * r23355;
        double r23357 = x;
        double r23358 = r23356 - r23357;
        double r23359 = r23355 + r23356;
        double r23360 = r23358 / r23359;
        double r23361 = r23354 - r23360;
        return r23361;
}


double f_of(float wj, float x) {
        float r23362 = wj;
        float r23363 = exp(r23362);
        float r23364 = r23362 * r23363;
        float r23365 = x;
        float r23366 = r23364 - r23365;
        float r23367 = r23363 + r23364;
        float r23368 = r23366 / r23367;
        float r23369 = r23362 - r23368;
        float r23370 = 1.6280626156164055e-12f;
        bool r23371 = r23369 <= r23370;
        float r23372 = r23362 * r23362;
        float r23373 = r23372 + r23365;
        float r23374 = 2.0f;
        float r23375 = r23362 * r23365;
        float r23376 = r23374 * r23375;
        float r23377 = r23373 - r23376;
        float r23378 = 1.0f;
        float r23379 = r23378 + r23362;
        float r23380 = r23362 / r23379;
        float r23381 = r23362 - r23380;
        float r23382 = r23365 / r23367;
        float r23383 = r23381 + r23382;
        float r23384 = r23371 ? r23377 : r23383;
        return r23384;
}

double f_od(double wj, double x) {
        double r23385 = wj;
        double r23386 = exp(r23385);
        double r23387 = r23385 * r23386;
        double r23388 = x;
        double r23389 = r23387 - r23388;
        double r23390 = r23386 + r23387;
        double r23391 = r23389 / r23390;
        double r23392 = r23385 - r23391;
        double r23393 = 1.6280626156164055e-12;
        bool r23394 = r23392 <= r23393;
        double r23395 = r23385 * r23385;
        double r23396 = r23395 + r23388;
        double r23397 = 2.0;
        double r23398 = r23385 * r23388;
        double r23399 = r23397 * r23398;
        double r23400 = r23396 - r23399;
        double r23401 = 1.0;
        double r23402 = r23401 + r23385;
        double r23403 = r23385 / r23402;
        double r23404 = r23385 - r23403;
        double r23405 = r23388 / r23390;
        double r23406 = r23404 + r23405;
        double r23407 = r23394 ? r23400 : r23406;
        return r23407;
}

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 r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(912);
        mpfr_init(r23408);
        mpfr_init(r23409);
        mpfr_init(r23410);
        mpfr_init(r23411);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
}

double f_im(double wj, double x) {
        mpfr_set_d(r23408, wj, MPFR_RNDN);
        mpfr_exp(r23409, r23408, MPFR_RNDN);
        mpfr_mul(r23410, r23408, r23409, MPFR_RNDN);
        mpfr_set_d(r23411, x, MPFR_RNDN);
        mpfr_sub(r23412, r23410, r23411, MPFR_RNDN);
        mpfr_add(r23413, r23409, r23410, MPFR_RNDN);
        mpfr_div(r23414, r23412, r23413, MPFR_RNDN);
        mpfr_sub(r23415, r23408, r23414, MPFR_RNDN);
        return mpfr_get_d(r23415, MPFR_RNDN);
}

static mpfr_t r23416, r23417, r23418, r23419, r23420, r23421, r23422, r23423, r23424, r23425, r23426, r23427, r23428, r23429, r23430, r23431, r23432, r23433, r23434, r23435, r23436, r23437, r23438;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(912);
        mpfr_init(r23416);
        mpfr_init(r23417);
        mpfr_init(r23418);
        mpfr_init(r23419);
        mpfr_init(r23420);
        mpfr_init(r23421);
        mpfr_init(r23422);
        mpfr_init(r23423);
        mpfr_init_set_str(r23424, "1.6280626156164055e-12", 10, MPFR_RNDN);
        mpfr_init(r23425);
        mpfr_init(r23426);
        mpfr_init(r23427);
        mpfr_init_set_str(r23428, "2", 10, MPFR_RNDN);
        mpfr_init(r23429);
        mpfr_init(r23430);
        mpfr_init(r23431);
        mpfr_init_set_str(r23432, "1", 10, MPFR_RNDN);
        mpfr_init(r23433);
        mpfr_init(r23434);
        mpfr_init(r23435);
        mpfr_init(r23436);
        mpfr_init(r23437);
        mpfr_init(r23438);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r23416, wj, MPFR_RNDN);
        mpfr_exp(r23417, r23416, MPFR_RNDN);
        mpfr_mul(r23418, r23416, r23417, MPFR_RNDN);
        mpfr_set_d(r23419, x, MPFR_RNDN);
        mpfr_sub(r23420, r23418, r23419, MPFR_RNDN);
        mpfr_add(r23421, r23417, r23418, MPFR_RNDN);
        mpfr_div(r23422, r23420, r23421, MPFR_RNDN);
        mpfr_sub(r23423, r23416, r23422, MPFR_RNDN);
        ;
        mpfr_set_si(r23425, mpfr_cmp(r23423, r23424) <= 0, MPFR_RNDN);
        mpfr_sqr(r23426, r23416, MPFR_RNDN);
        mpfr_add(r23427, r23426, r23419, MPFR_RNDN);
        ;
        mpfr_mul(r23429, r23416, r23419, MPFR_RNDN);
        mpfr_mul(r23430, r23428, r23429, MPFR_RNDN);
        mpfr_sub(r23431, r23427, r23430, MPFR_RNDN);
        ;
        mpfr_add(r23433, r23432, r23416, MPFR_RNDN);
        mpfr_div(r23434, r23416, r23433, MPFR_RNDN);
        mpfr_sub(r23435, r23416, r23434, MPFR_RNDN);
        mpfr_div(r23436, r23419, r23421, MPFR_RNDN);
        mpfr_add(r23437, r23435, r23436, MPFR_RNDN);
        if (mpfr_get_si(r23425, MPFR_RNDN)) { mpfr_set(r23438, r23431, MPFR_RNDN); } else { mpfr_set(r23438, r23437, MPFR_RNDN); };
        return mpfr_get_d(r23438, MPFR_RNDN);
}

static mpfr_t r23439, r23440, r23441, r23442, r23443, r23444, r23445, r23446, r23447, r23448, r23449, r23450, r23451, r23452, r23453, r23454, r23455, r23456, r23457, r23458, r23459, r23460, r23461;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(912);
        mpfr_init(r23439);
        mpfr_init(r23440);
        mpfr_init(r23441);
        mpfr_init(r23442);
        mpfr_init(r23443);
        mpfr_init(r23444);
        mpfr_init(r23445);
        mpfr_init(r23446);
        mpfr_init_set_str(r23447, "1.6280626156164055e-12", 10, MPFR_RNDN);
        mpfr_init(r23448);
        mpfr_init(r23449);
        mpfr_init(r23450);
        mpfr_init_set_str(r23451, "2", 10, MPFR_RNDN);
        mpfr_init(r23452);
        mpfr_init(r23453);
        mpfr_init(r23454);
        mpfr_init_set_str(r23455, "1", 10, MPFR_RNDN);
        mpfr_init(r23456);
        mpfr_init(r23457);
        mpfr_init(r23458);
        mpfr_init(r23459);
        mpfr_init(r23460);
        mpfr_init(r23461);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r23439, wj, MPFR_RNDN);
        mpfr_exp(r23440, r23439, MPFR_RNDN);
        mpfr_mul(r23441, r23439, r23440, MPFR_RNDN);
        mpfr_set_d(r23442, x, MPFR_RNDN);
        mpfr_sub(r23443, r23441, r23442, MPFR_RNDN);
        mpfr_add(r23444, r23440, r23441, MPFR_RNDN);
        mpfr_div(r23445, r23443, r23444, MPFR_RNDN);
        mpfr_sub(r23446, r23439, r23445, MPFR_RNDN);
        ;
        mpfr_set_si(r23448, mpfr_cmp(r23446, r23447) <= 0, MPFR_RNDN);
        mpfr_sqr(r23449, r23439, MPFR_RNDN);
        mpfr_add(r23450, r23449, r23442, MPFR_RNDN);
        ;
        mpfr_mul(r23452, r23439, r23442, MPFR_RNDN);
        mpfr_mul(r23453, r23451, r23452, MPFR_RNDN);
        mpfr_sub(r23454, r23450, r23453, MPFR_RNDN);
        ;
        mpfr_add(r23456, r23455, r23439, MPFR_RNDN);
        mpfr_div(r23457, r23439, r23456, MPFR_RNDN);
        mpfr_sub(r23458, r23439, r23457, MPFR_RNDN);
        mpfr_div(r23459, r23442, r23444, MPFR_RNDN);
        mpfr_add(r23460, r23458, r23459, MPFR_RNDN);
        if (mpfr_get_si(r23448, MPFR_RNDN)) { mpfr_set(r23461, r23454, MPFR_RNDN); } else { mpfr_set(r23461, r23460, MPFR_RNDN); };
        return mpfr_get_d(r23461, MPFR_RNDN);
}