#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 r19103 = wj;
        float r19104 = exp(r19103);
        float r19105 = r19103 * r19104;
        float r19106 = x;
        float r19107 = r19105 - r19106;
        float r19108 = r19104 + r19105;
        float r19109 = r19107 / r19108;
        float r19110 = r19103 - r19109;
        return r19110;
}

double f_id(double wj, double x) {
        double r19111 = wj;
        double r19112 = exp(r19111);
        double r19113 = r19111 * r19112;
        double r19114 = x;
        double r19115 = r19113 - r19114;
        double r19116 = r19112 + r19113;
        double r19117 = r19115 / r19116;
        double r19118 = r19111 - r19117;
        return r19118;
}


double f_of(float wj, float x) {
        float r19119 = wj;
        float r19120 = 4.0f;
        float r19121 = pow(r19119, r19120);
        float r19122 = r19119 * r19119;
        float r19123 = r19119 * (r19119 * r19119);
        float r19124 = r19122 - r19123;
        float r19125 = r19121 + r19124;
        float r19126 = x;
        float r19127 = 1.0f;
        float r19128 = r19127 + r19119;
        float r19129 = exp(r19119);
        float r19130 = r19128 * r19129;
        float r19131 = r19126 / r19130;
        float r19132 = r19125 + r19131;
        return r19132;
}

double f_od(double wj, double x) {
        double r19133 = wj;
        double r19134 = 4.0;
        double r19135 = pow(r19133, r19134);
        double r19136 = r19133 * r19133;
        double r19137 = r19133 * (r19133 * r19133);
        double r19138 = r19136 - r19137;
        double r19139 = r19135 + r19138;
        double r19140 = x;
        double r19141 = 1.0;
        double r19142 = r19141 + r19133;
        double r19143 = exp(r19133);
        double r19144 = r19142 * r19143;
        double r19145 = r19140 / r19144;
        double r19146 = r19139 + r19145;
        return r19146;
}

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 r19147, r19148, r19149, r19150, r19151, r19152, r19153, r19154;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19147);
        mpfr_init(r19148);
        mpfr_init(r19149);
        mpfr_init(r19150);
        mpfr_init(r19151);
        mpfr_init(r19152);
        mpfr_init(r19153);
        mpfr_init(r19154);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19147, wj, MPFR_RNDN);
        mpfr_exp(r19148, r19147, MPFR_RNDN);
        mpfr_mul(r19149, r19147, r19148, MPFR_RNDN);
        mpfr_set_d(r19150, x, MPFR_RNDN);
        mpfr_sub(r19151, r19149, r19150, MPFR_RNDN);
        mpfr_add(r19152, r19148, r19149, MPFR_RNDN);
        mpfr_div(r19153, r19151, r19152, MPFR_RNDN);
        mpfr_sub(r19154, r19147, r19153, MPFR_RNDN);
        return mpfr_get_d(r19154, MPFR_RNDN);
}

static mpfr_t r19155, r19156, r19157, r19158, r19159, r19160, r19161, r19162, r19163, r19164, r19165, r19166, r19167, r19168;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19155);
        mpfr_init_set_str(r19156, "4", 10, MPFR_RNDN);
        mpfr_init(r19157);
        mpfr_init(r19158);
        mpfr_init(r19159);
        mpfr_init(r19160);
        mpfr_init(r19161);
        mpfr_init(r19162);
        mpfr_init_set_str(r19163, "1", 10, MPFR_RNDN);
        mpfr_init(r19164);
        mpfr_init(r19165);
        mpfr_init(r19166);
        mpfr_init(r19167);
        mpfr_init(r19168);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19155, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19157, r19155, r19156, MPFR_RNDN);
        mpfr_sqr(r19158, r19155, MPFR_RNDN);
        mpfr_mul(r19159, r19155, r19155, MPFR_RNDN); mpfr_mul(r19159, r19159, r19155, MPFR_RNDN);
        mpfr_sub(r19160, r19158, r19159, MPFR_RNDN);
        mpfr_add(r19161, r19157, r19160, MPFR_RNDN);
        mpfr_set_d(r19162, x, MPFR_RNDN);
        ;
        mpfr_add(r19164, r19163, r19155, MPFR_RNDN);
        mpfr_exp(r19165, r19155, MPFR_RNDN);
        mpfr_mul(r19166, r19164, r19165, MPFR_RNDN);
        mpfr_div(r19167, r19162, r19166, MPFR_RNDN);
        mpfr_add(r19168, r19161, r19167, MPFR_RNDN);
        return mpfr_get_d(r19168, MPFR_RNDN);
}

static mpfr_t r19169, r19170, r19171, r19172, r19173, r19174, r19175, r19176, r19177, r19178, r19179, r19180, r19181, r19182;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19169);
        mpfr_init_set_str(r19170, "4", 10, MPFR_RNDN);
        mpfr_init(r19171);
        mpfr_init(r19172);
        mpfr_init(r19173);
        mpfr_init(r19174);
        mpfr_init(r19175);
        mpfr_init(r19176);
        mpfr_init_set_str(r19177, "1", 10, MPFR_RNDN);
        mpfr_init(r19178);
        mpfr_init(r19179);
        mpfr_init(r19180);
        mpfr_init(r19181);
        mpfr_init(r19182);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19169, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19171, r19169, r19170, MPFR_RNDN);
        mpfr_sqr(r19172, r19169, MPFR_RNDN);
        mpfr_mul(r19173, r19169, r19169, MPFR_RNDN); mpfr_mul(r19173, r19173, r19169, MPFR_RNDN);
        mpfr_sub(r19174, r19172, r19173, MPFR_RNDN);
        mpfr_add(r19175, r19171, r19174, MPFR_RNDN);
        mpfr_set_d(r19176, x, MPFR_RNDN);
        ;
        mpfr_add(r19178, r19177, r19169, MPFR_RNDN);
        mpfr_exp(r19179, r19169, MPFR_RNDN);
        mpfr_mul(r19180, r19178, r19179, MPFR_RNDN);
        mpfr_div(r19181, r19176, r19180, MPFR_RNDN);
        mpfr_add(r19182, r19175, r19181, MPFR_RNDN);
        return mpfr_get_d(r19182, MPFR_RNDN);
}