// -*- coding: utf-8 -*-
#include "chemeq.h"
#include <math.h>
#include <sstream>
#include <stdlib.h>
atome lesatomes[] ={
{-1, "e"},
{1, "H"},
{2, "He"},
{3, "Li"},
{4, "Be"},
{5, "B"},
{6, "C"},
{7, "N"},
{8, "O"},
{9, "F"},
{10, "Ne"},
{11, "Na"},
{12, "Mg"},
{13, "Al"},
{14, "Si"},
{15, "P"},
{16, "S"},
{17, "Cl"},
{18, "Ar"},
{19, "K"},
{20, "Ca"},
{21, "Sc"},
{22, "Ti"},
{23, "V"},
{24, "Cr"},
{25, "Mn"},
{26, "Fe"},
{27, "Co"},
{28, "Ni"},
{29, "Cu"},
{30, "Zn"},
{31, "Ga"},
{32, "Ge"},
{33, "As"},
{34, "Se"},
{35, "Br"},
{36, "Kr"},
{37, "Rb"},
{38, "Sr"},
{39, "Y"},
{40, "Zr"},
{41, "Nb"},
{42, "Mo"},
{43, "Tc"},
{44, "Ru"},
{45, "Rh"},
{46, "Pd"},
{47, "Ag"},
{48, "Cd"},
{49, "In"},
{50, "Sn"},
{51, "Sb"},
{52, "Te"},
{53, "I"},
{54, "Xe"},
{55, "Cs"},
{56, "Ba"},
{57, "La"},
{58, "Ce"},
{59, "Pr"},
{60, "Nd"},
{61, "Pm"},
{62, "Sm"},
{63, "Eu"},
{64, "Gd"},
{65, "Tb"},
{66, "Dy"},
{67, "Ho"},
{68, "Er"},
{69, "Tm"},
{70, "Yb"},
{71, "Lu"},
{72, "Hf"},
{73, "Ta"},
{74, "W"},
{75, "Re"},
{76, "Os"},
{77, "Ir"},
{78, "Pt"},
{79, "Au"},
{80, "Hg"},
{81, "Tl"},
{82, "Pb"},
{83, "Bi"},
{84, "Po"},
{85, "At"},
{86, "Rn"},
{87, "Fr"},
{88, "Ra"},
{89, "Ac"},
{90, "Th"},
{91, "Pa"},
{92, "U"},
{93, "Np"},
{94, "Pu"},
{95, "Am"},
{96, "Cm"},
{97, "Bk"},
{98, "Cf"},
{99, "Es"},
{100, "Fm"},
{101, "Md"},
{102, "No"},
{103, "Lr"},
{104, "Rf"},
{105, "Db"},
{106, "Sg"},
{107, "Bh"},
{108, "Hs"},
{109, "Mt"},
{110, "Uun"},
{111, "Uuu"},
{112, "Uub"},
{113, "Uut"},
{114, "Uuq"},
{115, "Uup"},
{116, "Uuh"},
{117, "Uus"},
{118, "Uuo"},
{0,"fin"}
};
std::ostream & Compteur::operator << (std::ostream & o)const{
const_iterator i=begin();
while (i != end()){
o << i->first << " : " << i->second;
if (++i != end()) o << " ";
}
return o;
}
std::ostream & operator << (std::ostream & o, const Compteur & c){
return c.operator << (o);
}
double AtomeListe::weight(fraction mult)const{
const AtomeListe * al;
double w=0.0;
if(Zed!=0 && Zed!=-1 ){ /* cas où ce n'est pas un groupe ou un électron */
w=mendelweight(symb)*nb*mult.i/mult.d;
}
else if (Zed==0){ /* cas d'un groupe */
if (group) w+=group->weight(mult*nb);
}
if (suiv) w+=suiv->weight(mult);
return w;
}
void AtomeListe::compte(Compteur &c, fraction mult)const{
const AtomeListe * al;
if(Zed!=0 && Zed!=-1 ){ /* cas où ce n'est pas un groupe ou un électron */
std::string key(symb);
c[key] +=1.0*nb*mult.i/mult.d;
}
else if (Zed==0){ /* cas d'un groupe */
if (group) group->compte(c,mult*nb);
}
if (suiv) suiv->compte(c,mult);
}
void AtomeListe::numerote(int n){
if(Zed!=0){ /* cas où ce n'est pas un groupe */
no = n;
}
else if (Zed==0){ /* cas d'un groupe */
no = n;
if (group) group->numerote();
}
if (suiv) suiv->numerote(n+1);
}
AtomeListe * AtomeListe::triage(AtomeListe * al){
AtomeListe * al1;
if(al->Z()!=0){ /* cas où ce n'est pas un groupe */
if (al->suiv){
al->suiv = triage(al->suiv);
}
while (al->suiv && al->suiv->Zed!=0 &&
strcmp(al->symbole(), al->suiv->symbole()) > 1){
al1=al; al=al->suiv; al1->suiv=al->suiv; al->suiv=triage(al1);
}
}
else{ /* cas d'un groupe */
if (al->groupe()) al->groupe(triage(al->groupe()));
}
return al;
}
bool operator == (const AtomeListe & a1, const AtomeListe & a2){
std::stringstream s1, s2;
a1.printnorm(s1);
a2.printnorm(s2);
return s1.str() == s2.str();
}
void AtomeListe::printcount(std::ostream & o, const fraction& n, int multiple=1) const{
if(Zed!=0){ /* cas où ce n'est pas un groupe */
o << symb;
o << ':' << n << '*' << multiple*nb;
}
else{ /* cas d'un groupe */
if (group) group->printcount(o,n,nb);
}
if (suiv) {o << ' '; suiv->printcount(o,n,multiple);}
}
void AtomeListe::printnorm(std::ostream & o) const{
if (sqbr) o << "[";
if(Zed!=0){ /* cas où ce n'est pas un groupe */
o << symb;
if (nb!=1) o << nb;
}
else{ /* cas d'un groupe */
o << "(";
if (group) group->printnorm(o);
o << ")" << nb;
}
if (suiv) suiv->printnorm(o);
if (sqbr) o << "]";
}
std::ostream & operator << (std::ostream & o, const AtomeListe & l){
int n;
const AtomeListe * al;
if (l.sq()) o << "[";
if(l.Z()>0 || l.Z()<-1){
o << l.symbole();
}
else if (l.Z()==-1){ // cas de l'électron
o << "e";
}
else{ // cas des groupes parenthésés
o << "(";
if((al=l.groupe())) o << *al;
o << ")";
}
if((n=l.getmolecularite())>1) o << "_{" << n << "}";
if((al=l.suivant())) o << *al;
if (l.sq()) o << "]";
return o;
}
const char* moltypeStr[] = { "aq", "g", "s" };
bool operator == (const Molec & m1, const Molec & m2){
return *(m1.al) == *(m2.al) && m1.ch == m2.ch;
}
const std::string Molec::signature()const{
std::ostringstream o;
o << liste();
if (charge()){
o << "^{";
if(fabs(1.0*charge())!=1) o << fabs(1.0*charge());
if(charge()>0) o << "+}"; else o << "-}";
}
if (t != aqueous) o << moltypeStr[t];
return std::string (o.str());
}
bool Molec::printcount(std::ostream & o, bool first) const{
if (!first) o << ", ";
first=false;
printnorm(o);
o << '|';
al-> printcount(o,nb);
return first;
}
bool Molec::printelec(std::ostream & o, bool first) const{
if (!first) o << ", ";
first=false;
printnorm(o);
o << '|';
o << nb << '*' << ch;
return first;
}
bool Molec::printspecies(std::ostream & o, bool first) const{
if (!first) o << ", ";
first=false;
printnorm(o);
return first;
}
void Molec::printnorm(std::ostream & o)const{
if (nb!=1) o << nb << " ";
al-> printnorm(o);
if (ch) {
o << "^";
if(fabs(1.0*ch)!=1) o << fabs(1.0*ch);
if(ch>0) o << "+"; else o << "-";
}
if (!iswater()&&!iselectron()) o << "_" << moltypeStr[t];
}
void Molec::coeff( fraction f){
nb.i *= f.i;
nb.d *= f.d;
nb.simplifie();
}
bool Molec::printNernst(std::ostream & o, const char * prefix){
switch(t){
case sol : return 0;
case aqueous :
if (iswater() || iselectron()) return 0;
o << prefix << "[" << *al;
if (ch){
o << "^{";
if(fabs(1.0*ch)!=1) o << fabs(1.0*ch);
if(ch>0) o << "+}"; else o << "-}";
}
if (t != aqueous) o << "_{" << moltypeStr[t] << "}";
o <<"]";
if (nb!=1) {
o << "^{";
printNombre(o);
o << "}";
}
return 1;
case gas :
o << prefix << "P_{" << *al << "}";
if (nb!=1) {
o << "^{";
printNombre(o);
o << "}";
}
return 1;
}
}
bool Molec::iswater()const{
if (t != aqueous) return 0;
if (signature()==std::string("H_{2}O") ||
signature()==std::string("OH_{2}")) return 1;
else return 0;
}
bool Molec::iselectron()const{
return (signature()==std::string("e^{-}"));
}
fraction Molec::nbelectron()const{
if (iselectron()) return nb;
else return fraction(0);
}
void Molec::add(fraction f){
nb = nb+f;
}
void Molec::sub(fraction f){
nb = nb-f;
}
void Molec::printNombre(std::ostream & o)const{
if (nb.d==1){
o << nb.i << "\\,";
}
else {
o << "\\frac{" << nb.i << "}{" << nb.d << "}\\,";
}
}
std::ostream & operator << (std::ostream & o, const Molec & m){
if (m.nombre() != 1) m.printNombre(o);
o << m.liste();
if (m.charge()){
o << "^{";
if(fabs(1.0*m.charge())!=1) o << fabs(1.0*m.charge());
if(m.charge()>0) o << "+}"; else o << "-}";
}
if (m.typage() != aqueous) o << "_{" << moltypeStr[m.typage()] << "}";
return o;
}
int Membre::findMol(const Molec * m){
// returns the index of a molecule with the same atomlist if any
// else returns -1.
int result=-1;
for(int i=0; i<size(); i++){
if ((*this)[i]->eqMol(m)) result=i;
}
return result;
}
void Membre::addMol(const Molec * m){
int i = findMol(m);
if (i < 0){
push_back(new Molec(*m));
} else {
(*this)[i]->add(m->nombre());
}
}
void Membre::addMembre(const Membre * m){
for(int i=0; i<m->size(); i++){
addMol((*m)[i]);
}
}
void Membre::eraseNull(){
Membre m(*this);
clear();
for(int i=0; i < m.size();i++){
if (m[i]->nombre().i>0) push_back(m[i]);
}
}
void Membre::compte(Compteur & c)const{
for(int i =0; i < size(); i++){
operator [] (i)->compte(c);
}
}
void Membre::numerote(){
for (int i=0; i < size(); i++){
operator [](i)->numero(i);
operator [](i)->liste().numerote();
}
}
void Membre::triage(){
int i,j;
for (i=0; i < size(); i++){
operator [](i)->triage();
}
for (i=0; i < size(); i++){
for (j=i+1; j < size(); j++){
if (operator [](i)->signature() > operator [](j)->signature()){
Molec * m = operator [](i);
operator [](i) = operator [](j);
operator [](j) = m;
}
}
}
}
void Membre::printcount(std::ostream & o) const{
bool first=true;
for(int i=0; i < size(); i++){
first=operator[](i)->printcount(o,first);
}
}
void Membre::printelec(std::ostream & o) const{
bool first=true;
for(int i=0; i < size(); i++){
first=operator[](i)->printelec(o,first);
}
}
void Membre::printspecies(std::ostream & o) const{
bool first=true;
for(int i=0; i < size(); i++){
first=operator[](i)->printspecies(o,first);
}
}
void Membre::printnorm(std::ostream & o) const{
for(int i=0; i < size(); i++){
operator[](i)->printnorm(o);
if (i < size()-1) o << " + ";
}
}
void Membre::printweight(std::ostream & o) const{
for(int i=0; i < size(); i++){
o << operator[](i)->weight();
if (i < size()-1) o << " ";
}
}
void Membre::coeff( fraction f){
for (int i=0; i<size(); i++) operator[](i)->coeff(f);
}
int Membre::printableNernst(){
int result=0;
for (int i=0; i<size(); i++) {
if (operator[](i)->typage() != sol &&
!operator[](i)->iswater() &&
!operator[](i)->iselectron()) result =1;
}
return result;
}
bool Membre::redox()const{
for (int i=0; i<size(); i++){
if ((*this)[i]->iselectron()) /* c'est un électron */ return 1;
}
return 0;
}
fraction Membre::nbelectron()const{
fraction result(0);
for(int i = 0; i<size(); i++) result=result+(*this)[i]->nbelectron();
return result;
}
void Membre::printNernst(std::ostream & o){
bool printed = 0;
const char * prefix="";
for (int i=0; i<size(); i++) {
if (i>0) prefix="\\,";
if (operator[](i)->printNernst(o, prefix)){
printed = 1;
}
}
if (!printed) o << "1";
}
std::ostream & operator << (std::ostream & o, const Membre & m){
for(int i=0; i < m.size()-1; i++){
o << *m[i] << "\\,+\\,";
}
o << *m[m.size()-1];
return o;
}
Membre operator & (Membre & m1, Membre & m2){
Membre result;
result.printnorm(std::cout);
fraction min(1);
for(Membre::iterator i = m1.begin(); i < m1.end(); i++){
for(Membre::iterator j = m2.begin(); j < m2.end(); j++){
if (**i == **j){
Molec *m = new Molec(**i);
if ((*i)->nb > (*j)->nb){
min=(*j)->nb;
}else{
min=(*i)->nb;
}
m->nb=min;
result.push_back(m);
}
}
}
return result;
}
Membre operator - (Membre & m1, Membre & m2){
Membre result;
fraction diff(1);
for(Membre::iterator i = m1.begin(); i < m1.end(); i++){
Molec *m = new Molec(**i);
for(Membre::iterator j = m2.begin(); j < m2.end(); j++){
if (**i == **j){
diff=(*i)->nb - (*j)->nb;
m->nb=diff;
}
}
result.push_back(m);
}
return result;
}
bool Chemeq::valdefined()const{
return val > MINVAL;
}
void Chemeq::addChemeq(const Chemeq * c){
if (valdefined() && c->valdefined()){
long double e1=enthalpy(), e2=c->enthalpy();
fraction n1=nbelectron(), n2=c->nbelectron();
long double e = e1+e2;
fraction n=n1+n2;
if (n.i==0) val=expl(-e/R/T0);
else val=-e*n.d/n.i/Faraday;
} else {
val=MINVAL;
}
gauche->addMembre(c->gauche);
droit->addMembre(c->droit);
simplifie(true);
}
void Chemeq::subChemeq(const Chemeq * c){
if (valdefined() && c->valdefined()){
long double e1=enthalpy(), e2=c->enthalpy();
fraction n1=nbelectron(), n2=c->nbelectron();
long double e = e1-e2;
fraction n=n1-n2;
if (n.i==0) {
val=expl(-e/R/T0);
} else{
val=-e*n.d/n.i/Faraday;
}
} else {
val=MINVAL;
}
gauche->addMembre(c->droit);
droit->addMembre(c->gauche);
simplifie(true);
}
long double Chemeq::enthalpy() const{
fraction n=nbelectron();
if (redox()){
return -val*n.i/n.d*Faraday;
} else {
return -R*T0*logl(val);
}
}
void Chemeq::simplifie(bool tri=false){
Membre communs(*gauche & *droit);
if (communs.size()>0){
Membre * g, *d;
g= new Membre(*gauche - communs);
d= new Membre(*droit - communs);
delete gauche;
delete droit;
gauche=g;
droit =d;
}
gauche->eraseNull();
droit->eraseNull();
if (tri){
numerote();
triage();
}
}
void Chemeq::printnorm(std::ostream & o){
gauche->printnorm(o);
o << " -> ";
droit->printnorm(o);
if (val>MINVAL){
o << " (";
if (cste!=std::string("")) o << cste << " = ";
o << val;
if (redox()) o << " V";
o << ")";
}
}
void Chemeq::printcount(std::ostream & o) const {
gauche->printcount(o);
o << "; ";
droit->printcount(o);
}
void Chemeq::printelec(std::ostream & o) const {
gauche->printelec(o);
o << "; ";
droit->printelec(o);
}
void Chemeq::printspecies(std::ostream & o) const {
gauche->printspecies(o);
o << "; ";
droit->printspecies(o);
}
void Chemeq::printweight(std::ostream & o) const{
gauche->printweight(o);
o << " ";
droit->printweight(o);
}
std::string Chemeq::equilibre(){
std::ostringstream s;
Compteur cpg, cpd;
gauche->compte(cpg);
droit->compte(cpd);
if(cpg==cpd) s << "OK";
else s << "ERROR " << cpg << " / " << cpd;
return std::string(s.str());
}
void Chemeq::coeff1(){
fraction mult = gauche->operator[](0)->nombre();
mult.inverse();
gauche->coeff(mult);
droit->coeff(mult);
simplifie();
if (!redox() && valdefined()){
val = val*mult.i/mult.d;
}
}
void Chemeq::multiply(int num, int den){
fraction mult(num,den);
gauche->coeff(mult);
droit->coeff(mult);
simplifie();
if (!redox() && valdefined()){
val = val*mult.i/mult.d;
}
}
bool Chemeq::redox()const{
return gauche->redox() || droit->redox();
}
void Chemeq::printNernst(std::ostream & o){
Membre * ga, * dr;
if (!redox()){
if (gauche->printableNernst()){
o << "\\frac{";
droit->printNernst(o);
o << "}{";
gauche->printNernst(o);
o << "}";
}
else {
droit->printNernst(o);
}
if (val > MINVAL) {
o << "\\,=\\,";
if (cste!=std::string("")) o << cste << "\\,=\\,";
o << valeur_latex();
}
else{
o << "\\,=\\,K";
}
}
else{ /* c'est une réaction redox */
o << "E\\,=\\,";
if (val > MINVAL) {
o << val;
}
else{
o << "E_{0}";
}
o << "\\,+\\,\\frac{R\\,T}{";
o << gauche->nbelectron()+droit->nbelectron() << "\\,F}";
o << "\\log";
if (gauche->redox()){ /* c'est une réduction */
ga=gauche; dr=droit;
}
else{ /* c'est une oxydation */
ga=droit; dr=gauche;
}
if (dr->printableNernst()){
o << "\\frac{";
ga->printNernst(o);
o << "}{";
dr->printNernst(o);
o << "}";
}
else {
o << "(";
ga->printNernst(o);
o << ")";
}
}
}
std::string Chemeq::valeur_latex()const{
std::ostringstream so;
so << val;
std::string s(so.str());
std::string::size_type epos=s.find('e',0);
if (epos!=std::string::npos){
s.erase(epos,1);
s.insert(epos,"\\times 10^{");
s=s+"}";
}
return (std::string) s;
}
std::ostream & operator << (std::ostream & o, const Chemeq & c){
o << *c.membregauche() << "\\,\\rightarrow\\," << *c.membredroit();
if (c.valeur() > MINVAL) {
o << "\\,(";
if (c.constante()!=std::string("")) o << c.constante() << "\\,=\\,";
o << c.valeur_latex();
if (c.redox()) o << " V";
o << ")";
}
return o;
}
std::ostream & operator << (std::ostream & o, fraction f){
o << f.i;
if (f.d!=1) o << '/' << f.d;
return o;
}
fraction operator * (fraction f, int m){
fraction result = fraction(f.i*m, f.d);
result.simplifie();
return result;
}
fraction operator * (int m, fraction f){
fraction result = fraction(f.i*m, f.d);
result.simplifie();
return result;
}
fraction operator * (fraction f, fraction m)
{
fraction result = fraction(f.i*m.i, f.d*m.d);
result.simplifie();
return result;
}
fraction operator + (fraction f, fraction g){
fraction result = fraction(f.i*g.d+g.i*f.d, f.d*g.d);
result.simplifie();
return result;
}
fraction operator - (fraction f, fraction g){
fraction result = fraction(f.i*g.d-g.i*f.d, f.d*g.d);
result.simplifie();
return result;
}
const fraction & minFraction(const fraction& f1, const fraction &f2){
if (f1.i*f2.d > f2.i*f1.d) return f1;
else return f2;
}
void fraction::simplifie(){
int maxprem = 23;
int premiers[]={2,3,5,7,11,13,17,19,23,29};
int n;
for (n=0; premiers[n]<= maxprem; n++){
while (i % premiers[n] == 0 && d % premiers[n] == 0){
i /= premiers[n]; d /= premiers[n];
}
}
}
bool operator > (fraction f, int i){
return f.i > f.d*i;
}
bool operator > (fraction f1, fraction f2){
return f1.i*f2.d > f1.d*f2.i;
}
bool operator != (fraction f, int i){
return f.i != f.d*i;
}
double mendelweight(int i){
if (i>=0) return strtod (table[i].info[WEIGHT],0); else return 0.0;
}
int findmendel(const char * symb){
int i=0;
while (table[i].info[0] && strcmp(table[i].info[SYMBOL], symb) != 0) i++;
if (table[i].info[0]) return i; else return -1;
}
double mendelweight(const char * symb){
int i;
i = findmendel(symb);
return mendelweight(i);
}