#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 r20555 = wj;
        float r20556 = exp(r20555);
        float r20557 = r20555 * r20556;
        float r20558 = x;
        float r20559 = r20557 - r20558;
        float r20560 = r20556 + r20557;
        float r20561 = r20559 / r20560;
        float r20562 = r20555 - r20561;
        return r20562;
}

double f_id(double wj, double x) {
        double r20563 = wj;
        double r20564 = exp(r20563);
        double r20565 = r20563 * r20564;
        double r20566 = x;
        double r20567 = r20565 - r20566;
        double r20568 = r20564 + r20565;
        double r20569 = r20567 / r20568;
        double r20570 = r20563 - r20569;
        return r20570;
}


double f_of(float wj, float x) {
        float r20571 = wj;
        float r20572 = exp(r20571);
        float r20573 = r20571 * r20572;
        float r20574 = x;
        float r20575 = r20573 - r20574;
        float r20576 = r20572 + r20573;
        float r20577 = r20575 / r20576;
        float r20578 = r20571 - r20577;
        float r20579 = 1.247241741003307e-15f;
        bool r20580 = r20578 <= r20579;
        float r20581 = r20571 * r20571;
        float r20582 = r20581 + r20574;
        float r20583 = 2.0f;
        float r20584 = r20571 * r20574;
        float r20585 = r20583 * r20584;
        float r20586 = r20582 - r20585;
        float r20587 = 1.0f;
        float r20588 = r20571 + r20587;
        float r20589 = r20571 / r20588;
        float r20590 = r20587 + r20571;
        float r20591 = r20574 / r20590;
        float r20592 = r20591 / r20572;
        float r20593 = r20589 - r20592;
        float r20594 = r20571 - r20593;
        float r20595 = r20580 ? r20586 : r20594;
        return r20595;
}

double f_od(double wj, double x) {
        double r20596 = wj;
        double r20597 = exp(r20596);
        double r20598 = r20596 * r20597;
        double r20599 = x;
        double r20600 = r20598 - r20599;
        double r20601 = r20597 + r20598;
        double r20602 = r20600 / r20601;
        double r20603 = r20596 - r20602;
        double r20604 = 1.247241741003307e-15;
        bool r20605 = r20603 <= r20604;
        double r20606 = r20596 * r20596;
        double r20607 = r20606 + r20599;
        double r20608 = 2.0;
        double r20609 = r20596 * r20599;
        double r20610 = r20608 * r20609;
        double r20611 = r20607 - r20610;
        double r20612 = 1.0;
        double r20613 = r20596 + r20612;
        double r20614 = r20596 / r20613;
        double r20615 = r20612 + r20596;
        double r20616 = r20599 / r20615;
        double r20617 = r20616 / r20597;
        double r20618 = r20614 - r20617;
        double r20619 = r20596 - r20618;
        double r20620 = r20605 ? r20611 : r20619;
        return r20620;
}

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 r20621, r20622, r20623, r20624, r20625, r20626, r20627, r20628;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r20621);
        mpfr_init(r20622);
        mpfr_init(r20623);
        mpfr_init(r20624);
        mpfr_init(r20625);
        mpfr_init(r20626);
        mpfr_init(r20627);
        mpfr_init(r20628);
}

double f_im(double wj, double x) {
        mpfr_set_d(r20621, wj, MPFR_RNDN);
        mpfr_exp(r20622, r20621, MPFR_RNDN);
        mpfr_mul(r20623, r20621, r20622, MPFR_RNDN);
        mpfr_set_d(r20624, x, MPFR_RNDN);
        mpfr_sub(r20625, r20623, r20624, MPFR_RNDN);
        mpfr_add(r20626, r20622, r20623, MPFR_RNDN);
        mpfr_div(r20627, r20625, r20626, MPFR_RNDN);
        mpfr_sub(r20628, r20621, r20627, MPFR_RNDN);
        return mpfr_get_d(r20628, MPFR_RNDN);
}

static mpfr_t r20629, r20630, r20631, r20632, r20633, r20634, r20635, r20636, r20637, r20638, r20639, r20640, r20641, r20642, r20643, r20644, r20645, r20646, r20647, r20648, r20649, r20650, r20651, r20652, r20653;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20629);
        mpfr_init(r20630);
        mpfr_init(r20631);
        mpfr_init(r20632);
        mpfr_init(r20633);
        mpfr_init(r20634);
        mpfr_init(r20635);
        mpfr_init(r20636);
        mpfr_init_set_str(r20637, "1.247241741003307e-15", 10, MPFR_RNDN);
        mpfr_init(r20638);
        mpfr_init(r20639);
        mpfr_init(r20640);
        mpfr_init_set_str(r20641, "2", 10, MPFR_RNDN);
        mpfr_init(r20642);
        mpfr_init(r20643);
        mpfr_init(r20644);
        mpfr_init_set_str(r20645, "1", 10, MPFR_RNDN);
        mpfr_init(r20646);
        mpfr_init(r20647);
        mpfr_init(r20648);
        mpfr_init(r20649);
        mpfr_init(r20650);
        mpfr_init(r20651);
        mpfr_init(r20652);
        mpfr_init(r20653);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r20629, wj, MPFR_RNDN);
        mpfr_exp(r20630, r20629, MPFR_RNDN);
        mpfr_mul(r20631, r20629, r20630, MPFR_RNDN);
        mpfr_set_d(r20632, x, MPFR_RNDN);
        mpfr_sub(r20633, r20631, r20632, MPFR_RNDN);
        mpfr_add(r20634, r20630, r20631, MPFR_RNDN);
        mpfr_div(r20635, r20633, r20634, MPFR_RNDN);
        mpfr_sub(r20636, r20629, r20635, MPFR_RNDN);
        ;
        mpfr_set_si(r20638, mpfr_cmp(r20636, r20637) <= 0, MPFR_RNDN);
        mpfr_sqr(r20639, r20629, MPFR_RNDN);
        mpfr_add(r20640, r20639, r20632, MPFR_RNDN);
        ;
        mpfr_mul(r20642, r20629, r20632, MPFR_RNDN);
        mpfr_mul(r20643, r20641, r20642, MPFR_RNDN);
        mpfr_sub(r20644, r20640, r20643, MPFR_RNDN);
        ;
        mpfr_add(r20646, r20629, r20645, MPFR_RNDN);
        mpfr_div(r20647, r20629, r20646, MPFR_RNDN);
        mpfr_add(r20648, r20645, r20629, MPFR_RNDN);
        mpfr_div(r20649, r20632, r20648, MPFR_RNDN);
        mpfr_div(r20650, r20649, r20630, MPFR_RNDN);
        mpfr_sub(r20651, r20647, r20650, MPFR_RNDN);
        mpfr_sub(r20652, r20629, r20651, MPFR_RNDN);
        if (mpfr_get_si(r20638, MPFR_RNDN)) { mpfr_set(r20653, r20644, MPFR_RNDN); } else { mpfr_set(r20653, r20652, MPFR_RNDN); };
        return mpfr_get_d(r20653, MPFR_RNDN);
}

static mpfr_t r20654, r20655, r20656, r20657, r20658, r20659, r20660, r20661, r20662, r20663, r20664, r20665, r20666, r20667, r20668, r20669, r20670, r20671, r20672, r20673, r20674, r20675, r20676, r20677, r20678;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r20654);
        mpfr_init(r20655);
        mpfr_init(r20656);
        mpfr_init(r20657);
        mpfr_init(r20658);
        mpfr_init(r20659);
        mpfr_init(r20660);
        mpfr_init(r20661);
        mpfr_init_set_str(r20662, "1.247241741003307e-15", 10, MPFR_RNDN);
        mpfr_init(r20663);
        mpfr_init(r20664);
        mpfr_init(r20665);
        mpfr_init_set_str(r20666, "2", 10, MPFR_RNDN);
        mpfr_init(r20667);
        mpfr_init(r20668);
        mpfr_init(r20669);
        mpfr_init_set_str(r20670, "1", 10, MPFR_RNDN);
        mpfr_init(r20671);
        mpfr_init(r20672);
        mpfr_init(r20673);
        mpfr_init(r20674);
        mpfr_init(r20675);
        mpfr_init(r20676);
        mpfr_init(r20677);
        mpfr_init(r20678);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r20654, wj, MPFR_RNDN);
        mpfr_exp(r20655, r20654, MPFR_RNDN);
        mpfr_mul(r20656, r20654, r20655, MPFR_RNDN);
        mpfr_set_d(r20657, x, MPFR_RNDN);
        mpfr_sub(r20658, r20656, r20657, MPFR_RNDN);
        mpfr_add(r20659, r20655, r20656, MPFR_RNDN);
        mpfr_div(r20660, r20658, r20659, MPFR_RNDN);
        mpfr_sub(r20661, r20654, r20660, MPFR_RNDN);
        ;
        mpfr_set_si(r20663, mpfr_cmp(r20661, r20662) <= 0, MPFR_RNDN);
        mpfr_sqr(r20664, r20654, MPFR_RNDN);
        mpfr_add(r20665, r20664, r20657, MPFR_RNDN);
        ;
        mpfr_mul(r20667, r20654, r20657, MPFR_RNDN);
        mpfr_mul(r20668, r20666, r20667, MPFR_RNDN);
        mpfr_sub(r20669, r20665, r20668, MPFR_RNDN);
        ;
        mpfr_add(r20671, r20654, r20670, MPFR_RNDN);
        mpfr_div(r20672, r20654, r20671, MPFR_RNDN);
        mpfr_add(r20673, r20670, r20654, MPFR_RNDN);
        mpfr_div(r20674, r20657, r20673, MPFR_RNDN);
        mpfr_div(r20675, r20674, r20655, MPFR_RNDN);
        mpfr_sub(r20676, r20672, r20675, MPFR_RNDN);
        mpfr_sub(r20677, r20654, r20676, MPFR_RNDN);
        if (mpfr_get_si(r20663, MPFR_RNDN)) { mpfr_set(r20678, r20669, MPFR_RNDN); } else { mpfr_set(r20678, r20677, MPFR_RNDN); };
        return mpfr_get_d(r20678, MPFR_RNDN);
}