#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 r19187 = wj;
        float r19188 = exp(r19187);
        float r19189 = r19187 * r19188;
        float r19190 = x;
        float r19191 = r19189 - r19190;
        float r19192 = r19188 + r19189;
        float r19193 = r19191 / r19192;
        float r19194 = r19187 - r19193;
        return r19194;
}

double f_id(double wj, double x) {
        double r19195 = wj;
        double r19196 = exp(r19195);
        double r19197 = r19195 * r19196;
        double r19198 = x;
        double r19199 = r19197 - r19198;
        double r19200 = r19196 + r19197;
        double r19201 = r19199 / r19200;
        double r19202 = r19195 - r19201;
        return r19202;
}


double f_of(float wj, float x) {
        float r19203 = wj;
        float r19204 = 4.0f;
        float r19205 = pow(r19203, r19204);
        float r19206 = r19203 * r19203;
        float r19207 = r19203 * (r19203 * r19203);
        float r19208 = r19206 - r19207;
        float r19209 = r19205 + r19208;
        float r19210 = x;
        float r19211 = 1.0f;
        float r19212 = r19211 + r19203;
        float r19213 = exp(r19203);
        float r19214 = r19212 * r19213;
        float r19215 = r19210 / r19214;
        float r19216 = r19209 + r19215;
        return r19216;
}

double f_od(double wj, double x) {
        double r19217 = wj;
        double r19218 = 4.0;
        double r19219 = pow(r19217, r19218);
        double r19220 = r19217 * r19217;
        double r19221 = r19217 * (r19217 * r19217);
        double r19222 = r19220 - r19221;
        double r19223 = r19219 + r19222;
        double r19224 = x;
        double r19225 = 1.0;
        double r19226 = r19225 + r19217;
        double r19227 = exp(r19217);
        double r19228 = r19226 * r19227;
        double r19229 = r19224 / r19228;
        double r19230 = r19223 + r19229;
        return r19230;
}

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 r19231, r19232, r19233, r19234, r19235, r19236, r19237, r19238;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r19231);
        mpfr_init(r19232);
        mpfr_init(r19233);
        mpfr_init(r19234);
        mpfr_init(r19235);
        mpfr_init(r19236);
        mpfr_init(r19237);
        mpfr_init(r19238);
}

double f_im(double wj, double x) {
        mpfr_set_d(r19231, wj, MPFR_RNDN);
        mpfr_exp(r19232, r19231, MPFR_RNDN);
        mpfr_mul(r19233, r19231, r19232, MPFR_RNDN);
        mpfr_set_d(r19234, x, MPFR_RNDN);
        mpfr_sub(r19235, r19233, r19234, MPFR_RNDN);
        mpfr_add(r19236, r19232, r19233, MPFR_RNDN);
        mpfr_div(r19237, r19235, r19236, MPFR_RNDN);
        mpfr_sub(r19238, r19231, r19237, MPFR_RNDN);
        return mpfr_get_d(r19238, MPFR_RNDN);
}

static mpfr_t r19239, r19240, r19241, r19242, r19243, r19244, r19245, r19246, r19247, r19248, r19249, r19250, r19251, r19252;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19239);
        mpfr_init_set_str(r19240, "4", 10, MPFR_RNDN);
        mpfr_init(r19241);
        mpfr_init(r19242);
        mpfr_init(r19243);
        mpfr_init(r19244);
        mpfr_init(r19245);
        mpfr_init(r19246);
        mpfr_init_set_str(r19247, "1", 10, MPFR_RNDN);
        mpfr_init(r19248);
        mpfr_init(r19249);
        mpfr_init(r19250);
        mpfr_init(r19251);
        mpfr_init(r19252);
}

double f_fm(double wj, double x) {
        mpfr_set_d(r19239, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19241, r19239, r19240, MPFR_RNDN);
        mpfr_sqr(r19242, r19239, MPFR_RNDN);
        mpfr_mul(r19243, r19239, r19239, MPFR_RNDN); mpfr_mul(r19243, r19243, r19239, MPFR_RNDN);
        mpfr_sub(r19244, r19242, r19243, MPFR_RNDN);
        mpfr_add(r19245, r19241, r19244, MPFR_RNDN);
        mpfr_set_d(r19246, x, MPFR_RNDN);
        ;
        mpfr_add(r19248, r19247, r19239, MPFR_RNDN);
        mpfr_exp(r19249, r19239, MPFR_RNDN);
        mpfr_mul(r19250, r19248, r19249, MPFR_RNDN);
        mpfr_div(r19251, r19246, r19250, MPFR_RNDN);
        mpfr_add(r19252, r19245, r19251, MPFR_RNDN);
        return mpfr_get_d(r19252, MPFR_RNDN);
}

static mpfr_t r19253, r19254, r19255, r19256, r19257, r19258, r19259, r19260, r19261, r19262, r19263, r19264, r19265, r19266;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r19253);
        mpfr_init_set_str(r19254, "4", 10, MPFR_RNDN);
        mpfr_init(r19255);
        mpfr_init(r19256);
        mpfr_init(r19257);
        mpfr_init(r19258);
        mpfr_init(r19259);
        mpfr_init(r19260);
        mpfr_init_set_str(r19261, "1", 10, MPFR_RNDN);
        mpfr_init(r19262);
        mpfr_init(r19263);
        mpfr_init(r19264);
        mpfr_init(r19265);
        mpfr_init(r19266);
}

double f_dm(double wj, double x) {
        mpfr_set_d(r19253, wj, MPFR_RNDN);
        ;
        mpfr_pow(r19255, r19253, r19254, MPFR_RNDN);
        mpfr_sqr(r19256, r19253, MPFR_RNDN);
        mpfr_mul(r19257, r19253, r19253, MPFR_RNDN); mpfr_mul(r19257, r19257, r19253, MPFR_RNDN);
        mpfr_sub(r19258, r19256, r19257, MPFR_RNDN);
        mpfr_add(r19259, r19255, r19258, MPFR_RNDN);
        mpfr_set_d(r19260, x, MPFR_RNDN);
        ;
        mpfr_add(r19262, r19261, r19253, MPFR_RNDN);
        mpfr_exp(r19263, r19253, MPFR_RNDN);
        mpfr_mul(r19264, r19262, r19263, MPFR_RNDN);
        mpfr_div(r19265, r19260, r19264, MPFR_RNDN);
        mpfr_add(r19266, r19259, r19265, MPFR_RNDN);
        return mpfr_get_d(r19266, MPFR_RNDN);
}