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pallache.h
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pallache.h
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/* By BC van Zuiden -- Leiden, November 2015 */
/* Probably very buggy USE AT OWN RISK this will brick everything you own */
/* NOBODY but YOU is liable for anything that happened in result of using this */
/* WARNING: DON'T RUN THIS PROGRAM THIS WILL DESTROY YOUR COMPUTER AND/OR HOUSE */
/* Any copyrighted piece of code within this code is NOT mine */
/* Inclusion of that code is forced upon me by a scary anonymous guy with a gun */
/* website: https://github.com/originalsouth/pallache */
/* Thou shalt not remove this comments from this source */
#if __cplusplus < 201103L
#error "pallache: C++ compiler too old requires at least C++11 to work (update compiler)."
#endif
#include <algorithm>
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <limits>
#include <random>
#include <stack>
#include <stdexcept>
#include <string>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#ifdef PALLACHE_DEBUG
#define PALLACHE_DEBUG_OUT(str,...)\
{\
char buffer[2048];\
const size_t n=snprintf(buffer,2048,"\033[1m\033[31mpallache-debug:\033[0m\033[1m\033[32m %s:%d \033[0min\033[37m %s: \033[0m",__FILE__,__LINE__,__func__);\
snprintf(buffer+n,2048-n,str,##__VA_ARGS__);\
fprintf(stderr,"%s\n",buffer);\
}
#else
#define PALLACHE_DEBUG_OUT(str,...) ;
#endif
namespace pallache
{
static constexpr char e6x9[]={0x74,0x68,0x65,0x5f,0x61,0x6e,0x73,
0x77,0x65,0x72,0x5f,0x74,0x6f,0x5f,
0x6c,0x69,0x66,0x65,0x5f,0x74,0x68,
0x65,0x5f,0x75,0x6e,0x69,0x76,0x65,
0x72,0x73,0x65,0x5f,0x61,0x6e,0x64,
0x5f,0x65,0x76,0x65,0x72,0x79,0x74,
0x68,0x69,0x6e,0x67,0x00,0x00,0x00};
template<class X> std::string to_string(X x)
{
char buffer[2048];
snprintf(buffer,2048,"%.17Lg",(long double)x);
return std::string(buffer);
}
long double to_flt(std::string a)
{
long double value;
try
{
value=std::stold(a);
}
catch(std::invalid_argument &arg)
{
throw std::string("pallache: invalid argument error");
}
catch(std::out_of_range &oerr)
{
throw std::string("pallache: overflow error");
}
return value;
}
template<class X> class pallache
{
private:
enum types
{
bracket_open,
bracket_close,
number,
variable,
operators,
function,
comma,
internal,
};
struct token
{
int type;
std::string str;
token(int t,std::string a)
{
type=t;
str=a;
}
};
struct functor
{
bool builtin;
bool protect;
std::vector<std::string> var;
std::vector<token> expr;
functor(bool b=false,bool p=false)
{
builtin=b;
protect=p;
}
size_t dim()
{
return var.size();
}
std::string p_expr()
{
std::string ret;
for(token t:expr) ret+=t.str;
return ret;
}
bool is_var(std::string a)
{
for(std::string v:var) if(a==v) return true;
return false;
}
void substitute(size_t i,X x)
{
PALLACHE_DEBUG_OUT("%s = %.17Lg",var[i].c_str(),(long double)x);
for(token &t:expr) if(t.str==var[i])
{
t.type=types::number;
t.str=to_string(x);
}
}
};
struct random_t
{
std::mt19937 mt;
random_t()
{
std::random_device dev;
mt.seed(dev());
}
void seed(X seed)
{
mt.seed(seed);
}
X uniform_int(X a,X b)
{
std::uniform_int_distribution<int> uniform_int_dist((int)a,(int)b);
return (X)uniform_int_dist(mt);
}
X uniform_real(X a,X b)
{
std::uniform_real_distribution<X> uniform_real_dist(a,b);
return uniform_real_dist(mt);
}
X normal(X mu,X sigma)
{
std::normal_distribution<X> normal_dist(mu,sigma);
return normal_dist(mt);
}
} random;
X ans;
std::unordered_map<std::string,functor> functions;
void init()
{
ans=0.0L;
functions.clear();
functions.emplace("cos",functor(true,true));
functions.emplace("sin",functor(true,true));
functions.emplace("tan",functor(true,true));
functions.emplace("acos",functor(true,true));
functions.emplace("asin",functor(true,true));
functions.emplace("atan",functor(true,true));
functions.emplace("atan2",functor(true,true));
functions.emplace("cosh",functor(true,true));
functions.emplace("sinh",functor(true,true));
functions.emplace("tanh",functor(true,true));
functions.emplace("acosh",functor(true,true));
functions.emplace("asinh",functor(true,true));
functions.emplace("atanh",functor(true,true));
functions.emplace("exp",functor(true,true));
functions.emplace("log",functor(true,true));
functions.emplace("log10",functor(true,true));
functions.emplace("exp2",functor(true,true));
functions.emplace("expm1",functor(true,true));
functions.emplace("ilogb",functor(true,true));
functions.emplace("log1p",functor(true,true));
functions.emplace("log2",functor(true,true));
functions.emplace("logb",functor(true,true));
functions.emplace("pow",functor(true,true));
functions.emplace("sqrt",functor(true,true));
functions.emplace("cbrt",functor(true,true));
functions.emplace("hypot",functor(true,true));
functions.emplace("erf",functor(true,true));
functions.emplace("erfc",functor(true,true));
functions.emplace("tgamma",functor(true,true));
functions.emplace("lgamma",functor(true,true));
functions.emplace("ceil",functor(true,true));
functions.emplace("floor",functor(true,true));
functions.emplace("fmod",functor(true,true));
functions.emplace("trunc",functor(true,true));
functions.emplace("round",functor(true,true));
functions.emplace("rint",functor(true,true));
functions.emplace("nearbyint",functor(true,true));
functions.emplace("remainder",functor(true,true));
functions.emplace("abs",functor(true,true));
functions.emplace("sign",functor(true,true));
functions.emplace("sgn",functor(true,true));
functions.emplace("bool",functor(true,true));
functions.emplace("delta",functor(true,true));
functions.emplace("kdelta",functor(true,true));
functions.emplace("not",functor(true,true));
functions.emplace("rand_uniform_int",functor(true,true));
functions.emplace("rand_uniform_real",functor(true,true));
functions.emplace("rand_normal",functor(true,true));
functions.emplace("del",functor(true,true));
functions.emplace("pi",functor(true,true));
functions.emplace("e",functor(true,true));
functions.emplace(std::string(e6x9),functor(true,true));
functions.emplace("phi",functor(true,true));
functions.emplace("nan",functor(true,true));
functions.emplace("inf",functor(true,true));
functions.emplace("minf",functor(true,true));
functions.emplace("eps",functor(true,true));
functions.emplace("ans",functor(true,true));
}
X sign(X x)
{
if(x>0.0L) return 1.0L;
else if(x<0.0L) return -1.0L;
else return 0.0L;
}
bool flt(char x)
{
if(isdigit(x)) return true;
else if(x=='.') return true;
else if(x=='e' or x=='E') return true;
else return false;
}
bool op(char x)
{
static const std::string ops="+-*/^&|!=%:<>";
const size_t opsSz=ops.size();
for(size_t i=0;i<opsSz;i++) if(x==ops[i]) return true;
return false;
}
int order(std::string a)
{
if(a=="!") return 1;
else if(a=="**") return 2;
else if(a=="*") return 3;
else if(a=="%") return 3;
else if(a=="/") return 3;
else if(a=="+") return 4;
else if(a=="-") return 4;
else if(a=="&") return 5;
else if(a=="^") return 7;
else if(a=="|") return 8;
else if(a=="&&") return 9;
else if(a=="||") return 10;
else if(a=="=" or a==":=" or a=="=:" or a=="::") return 11;
else return 10;
}
bool test_digit(size_t i,const size_t aSz,std::string a,std::vector<token> &tokens)
{
if(isdigit(a[i])) return true;
else if(i+1<aSz)
{
if(a[i]=='.' and isdigit(a[i+1])) return true;
else if(a[i]=='-' and (isdigit(a[i+1]) or a[i+1]=='.') and (tokens.empty() or !(tokens.back().type==types::number or tokens.back().type==types::variable or tokens.back().type==types::function or tokens.back().type==types::bracket_close or tokens.back().str[0]=='!'))) return true;
else return false;
}
else return false;
}
bool test_variable(size_t i,const size_t aSz,std::string a,std::vector<token> &tokens)
{
if(isalpha(a[i])) return true;
else if(i+1<aSz)
{
if(a[i]=='-' and isalpha(a[i+1]) and (tokens.empty() or !(tokens.back().type==types::number or tokens.back().type==types::variable or tokens.back().type==types::function or tokens.back().type==types::bracket_close or tokens.back().str[0]=='!'))) return true;
else return false;
}
else return false;
}
bool test_fact(size_t i,const size_t aSz,std::string a)
{
if(a[i]=='!')
{
size_t k=i+1;
for(;k<aSz;k++) if(a[k]!='!') break;
size_t l=0,m=k;
for(;l<aSz;m++)
{
if(a[m]=='=') l++;
else break;
}
if(l==1) k--;
if(k-i==0) return false;
else return true;
}
else return false;
}
void tokenize(std::string a,std::vector<token> &tokens)
{
const size_t aSz=a.size();
for(size_t i=0;i<aSz;)
{
size_t k=i+1;
const size_t j=i;
if(a[i]==' ' or a[i]=='\t')
{
i++;
continue;
}
else if(test_digit(i,aSz,a,tokens))
{
size_t dots=0;
size_t eE=0;
for(;k<aSz;k++)
{
if(a[k]=='.') dots++;
if(a[k]=='e' or a[k]=='E') eE++;
if((!flt(a[k]) and !((a[k]=='+' or a[k]=='-') and (a[k-1]=='e' or a[k-1]=='E'))) or dots>1 or eE>1) break;
}
tokens.push_back(token(types::number,a.substr(j,k-j)));
i+=k-j;
}
else if(test_variable(i,aSz,a,tokens))
{
for(;k<aSz;k++) if(!isalnum(a[k]) and a[k]!='_') break;
std::string b=a.substr(j,k-j);
i+=k-j;
tokens.push_back(token(types::variable,b));
}
else if(test_fact(i,aSz,a))
{
for(;k<aSz;k++) if(a[k]!='!') break;
size_t l=0,m=k;
for(;l<aSz;m++)
{
if(a[m]=='=') l++;
else break;
}
if(l==1) k--;
if(k-j!=0)
{
tokens.push_back(token(types::operators,a.substr(j,k-j)));
i+=k-j;
}
}
else if(op(a[i]))
{
for(;k<aSz;k++) if(!op(a[k]) or a[k]=='-') break;
std::string b=a.substr(j,k-j);
tokens.push_back(token(types::operators,b));
if(b==":=" or b=="=" or b=="=:" or b=="::") tokens.push_back(token(types::internal,"internal"));
i+=k-j;
}
else if(a[i]=='(')
{
tokens.push_back(token(types::bracket_open,a.substr(j,k-j)));
i+=k-j;
}
else if(a[i]==')')
{
tokens.push_back(token(types::bracket_close,a.substr(j,k-j)));
i+=k-j;
}
else if(a[i]==',')
{
tokens.push_back(token(types::comma,a.substr(j,k-j)));
i+=k-j;
}
else throw std::string("pallache: unknown token \"")+a[i]+std::string("\"");
}
const size_t tSz=tokens.size();
if(tSz==0) throw std::string("pallache: input parsed empty");
for(size_t i=0;i<tSz-1;i++) if(tokens[i].type==types::variable and tokens[i+1].type==types::bracket_open) tokens[i].type=types::function;
#ifdef PALLACHE_DEBUG
PALLACHE_DEBUG_OUT("tokens");
for(token x:tokens) PALLACHE_DEBUG_OUT("%s (%d)",x.str.c_str(),x.type);
#endif
}
bool test_op(token &t,std::stack<token> &stack)
{
if(stack.empty()) return false;
else
{
if(stack.top().type==types::function) return true;
else if(stack.top().type==types::operators)
{
if(stack.top().str=="**" and t.str=="**") return false;
else if (order(t.str)>=order(stack.top().str)) return true;
else return false;
}
else return false;
}
}
void shuntyard(std::vector<token> &tokens)
{
std::stack<token> stack;
std::vector<token> train;
for(token t:tokens) switch(t.type)
{
case types::number:
{
train.push_back(t);
}
break;
case types::variable:
{
train.push_back(t);
}
break;
case types::operators:
{
while(test_op(t,stack))
{
train.push_back(stack.top());
stack.pop();
}
stack.push(t);
}
break;
case types::function:
{
stack.push(t);
}
break;
case types::comma:
{
int ptype=-1;
while(!stack.empty() and (ptype=stack.top().type)!=types::bracket_open)
{
train.push_back(stack.top());
stack.pop();
}
if(!stack.empty() and ptype!=types::bracket_open) throw std::string("pallache: unmatched bracket");
}
break;
case types::bracket_open:
{
stack.push(t);
}
break;
case types::bracket_close:
{
int ptype=-1;
while(!stack.empty() and (ptype=stack.top().type)!=types::bracket_open)
{
train.push_back(stack.top());
stack.pop();
}
if(ptype!=types::bracket_open) throw std::string("pallache: unmatched bracket");
stack.pop();
}
break;
case types::internal:
{
train.push_back(t);
}
break;
default:
{
throw std::string("pallache: unknown types in syntax");
}
break;
}
while(!stack.empty())
{
train.push_back(stack.top());
if(stack.top().type==types::bracket_open) throw std::string("pallache: unmatched bracket");
stack.pop();
}
tokens=train;
#ifdef PALLACHE_DEBUG
PALLACHE_DEBUG_OUT("tokens");
for(token x:tokens) PALLACHE_DEBUG_OUT("%s (%d)",x.str.c_str(),x.type);
#endif
}
X rpncalc(std::vector<token> &tokens)
{
if(tokens.empty()) throw std::string("pallache: syntax error");
else if(tokens.back().str==":=" or tokens.back().str=="=" or tokens.back().str=="=:" or tokens.back().str=="::")
{
const size_t I=tokens.size();
bool p=false;
bool stat=(tokens.back().str.size()>1 and tokens.back().str[1]==':');
functor f(false,tokens.back().str[0]==':'?true:false);
tokens.pop_back();
std::string fname;
if(tokens[0].type==types::internal) throw std::string("pallache: cannot assign nothingness");
for(size_t i=1;i<I;i++) if(tokens[i].type==types::internal)
{
fname=tokens[i-1].str;
if(!(tokens[i-1].type==types::variable or tokens[i-1].type==types::function)) throw std::string("pallache: cannot assign \"")+fname+std::string("\" as it is invalid");
else if(fname[0]=='-')
{
p=true;
fname.erase(0,1);
}
f.expr=std::vector<token>(&tokens[i+1],&tokens[I-1]);
if(i>1) for(size_t j=0;j<i-1;j++)
{
if(tokens[j].type==types::variable) f.var.push_back(tokens[j].str);
else throw std::string("pallache: function \"")+fname+std::string("\" can only have variables as arguments");
}
break;
}
if(p)
{
f.expr.push_back(token(types::number,"-1"));
f.expr.push_back(token(types::operators,"*"));
}
functor f_old=functor(false,false);
if(functions.find(fname)!=functions.end())
{
if(functions[fname].builtin) throw std::string("pallache: cannot change \"")+fname+std::string("\" because it is builtin");
else if(functions[fname].protect) throw std::string("pallache: cannot change \"")+fname+std::string("\" because it is protected delete it first");
else
{
f_old=functions[fname];
functions.erase(fname);
}
}
#ifdef PALLACHE_DEBUG
PALLACHE_DEBUG_OUT("old function variables");
for(std::string x:f_old.var) PALLACHE_DEBUG_OUT("%s",x.c_str());
PALLACHE_DEBUG_OUT("old function exression");
for(token x:f_old.expr) PALLACHE_DEBUG_OUT("%s (%d)",x.str.c_str(),x.type);
PALLACHE_DEBUG_OUT("function variables");
for(std::string x:f.var) PALLACHE_DEBUG_OUT("%s",x.c_str());
PALLACHE_DEBUG_OUT("function exression");
for(token x:f.expr) PALLACHE_DEBUG_OUT("%s (%d)",x.str.c_str(),x.type);
#endif
functions.emplace(fname,f);
if(!stat)
{
std::string fn;
std::unordered_set<std::string> set;
std::stack<std::string> stack;
stack.push(fname);
set.emplace(fname);
while(!stack.empty())
{
fn=stack.top();
stack.pop();
for(token t:functions[fn].expr)
{
if(functions[fn].is_var(t.str)) continue;
else if(functions[t.str].builtin) continue;
else if(t.str==fname or t.str=="-"+fname)
{
#ifdef PALLACHE_DEBUG
std::string expr=functions[fn].p_expr();
#endif
if(f_old.expr.size()) functions[fname]=f_old;
else functions.erase(fname);
#ifdef PALLACHE_DEBUG
throw std::string("pallache: unsupported recursion in function definition \"")+fname+std::string("\" detected in variable \"")+fn+std::string("=")+expr+std::string("\"");
#else
throw std::string("pallache: unsupported recursion in function definition \"")+fname+std::string("\" detected in variable \"")+fn+std::string("\"");
#endif
}
else if(functions.find(t.str)!=functions.end() and set.find(t.str)==set.end())
{
stack.push(t.str);
set.emplace(t.str);
}
}
}
}
const size_t J=f.dim();
for(size_t j=0;j<J;j++) f.substitute(J-j-1,0.0L);
#ifdef PALLACHE_DEBUG
PALLACHE_DEBUG_OUT("substituted function exression");
for(token x:f.expr) PALLACHE_DEBUG_OUT("%s (%d)",x.str.c_str(),x.type);
#endif
try
{
ans=rpncalc(f.expr);
}
catch(std::string a)
{
if(f_old.expr.size()) functions[fname]=f_old;
else functions.erase(fname);
throw std::string("pallache: error in function definition of \"")+fname+std::string("\" as a \"")+a+std::string("\" occured");
}
if(f.dim()==0 and stat)
{
functions[fname].expr.clear();
functions[fname].expr.push_back(token(types::number,to_string(ans)));
}
else if(stat)
{
bool cont;
for(token &t:functions[fname].expr) if(t.type==types::variable)
{
cont=false;
for(std::string var:functions[fname].var) if(t.str==var) cont=true;
if(cont) continue;
std::vector<token> expr;
expr.push_back(t);
t=token(types::number,to_string(rpncalc(expr)));
}
}
return ans;
}
else if((tokens[0].type==types::variable or tokens[0].type==types::function) and (tokens.back().str=="del" or tokens.back().str=="-del"))
{
if(tokens.size()>2) throw std::string("pallache: syntax error \"")+tokens.back().str+std::string("\" only takes one argument");
else
{
if(functions.find(tokens[0].str)!=functions.end())
{
if(!functions[tokens[0].str].builtin)
{
functor f=functions[tokens[0].str];
const size_t I=f.dim();
for(size_t i=0;i<I;i++) f.substitute(I-i-1,0.0);
try
{
ans=rpncalc(f.expr);
}
catch(std::string a)
{
(void) a;
}
functions.erase(tokens[0].str);
return tokens.back().str[0]!='-'?ans:-ans;
}
else throw std::string("pallache: cannot delete \"")+tokens[0].str+std::string("\" because it is builtin");
}
else throw std::string("pallache: cannot delete \"")+tokens[0].str+std::string("\" because it does not exist");
}
}
std::vector<X> x;
for(token t:tokens)
{
switch(t.type)
{
case types::number:
{
x.push_back((X)to_flt(t.str));
}
break;
case types::variable:
{
X p=1.0L;
if(t.str[0]=='-')
{
p=-1.0L;
t.str.erase(0,1);
}
if(t.str=="pi") x.push_back(p*std::acos(-1.0L));
else if(t.str=="e") x.push_back(p*std::exp(1.0L));
else if(t.str=="phi") x.push_back(p*0.5L*(1.0L+std::sqrt(5.0L)));
else if(t.str==std::string(e6x9)) x.push_back(p*(X)052);
else if(t.str=="nan") x.push_back(p*std::numeric_limits<X>::quiet_NaN());
else if(t.str=="inf") x.push_back(p*std::numeric_limits<X>::infinity());
else if(t.str=="minf") x.push_back(-p*std::numeric_limits<X>::infinity());
else if(t.str=="eps") x.push_back(p*std::numeric_limits<X>::epsilon());
else if(t.str=="rand_uniform_int") x.push_back(p*random.uniform_int(0.0L,1.0L));
else if(t.str=="rand_uniform_real") x.push_back(p*random.uniform_real(0.0L,1.0L));
else if(t.str=="rand_normal") x.push_back(p*random.normal(0.0L,1.0L));
else if(t.str=="ans") x.push_back(p*ans);
else if(functions.find(t.str)!=functions.end())
{
functor f=functions[t.str];
x.push_back(p*rpncalc(f.expr));
}
else throw std::string("pallache: variable \"")+t.str+std::string("\" does not exist");
}
break;
case types::operators:
{
if(t.str=="+")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]+=x[q-1];
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"+\" requires two arguments");
}
else if(t.str=="-")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]-=x[q-1];
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"-\" requires two arguments");
}
else if(t.str=="*")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]*=x[q-1];
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"*\" requires two arguments");
}
else if(t.str=="/")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]/=x[q-1];
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"/\" requires two arguments");
}
else if(t.str=="%")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=fmod(x[q-2],x[q-1]);
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"%\" requires two arguments");
}
else if(t.str=="**")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=pow(x[q-2],x[q-1]);
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"**\" requires two arguments");
}
else if(t.str=="!")
{
const size_t q=x.size();
if(q>0) x[q-1]=std::tgamma(x[q-1]+1.0L);
else throw std::string("pallache: syntax error operator \"!\" requires one argument");
}
else if(t.str=="&&")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((bool)(x[q-2]) and (bool)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"&&\" requires two arguments");
}
else if(t.str=="||")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((bool)(x[q-2]) or (bool)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"||\" requires two arguments");
}
else if(t.str=="^^")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((bool)(x[q-2]) xor (bool)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"^^\" requires two arguments");
}
else if(t.str=="==")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])==(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"==\" requires two arguments");
}
else if(t.str=="!=")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])!=(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"!=\" requires two arguments");
}
else if(t.str=="<")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])<(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"<\" requires two arguments");
}
else if(t.str==">")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])>(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \">\" requires two arguments");
}
else if(t.str=="<=")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])<=(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"<=\" requires two arguments");
}
else if(t.str==">=")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((x[q-2])>=(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \">=\" requires two arguments");
}
else if(t.str=="&")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((long int)(x[q-2])&(long int)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"&\" requires two arguments");
}
else if(t.str=="|")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((long int)(x[q-2])|(long int)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"|\" requires two arguments");
}
else if(t.str=="^")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=(X)((long int)(x[q-2])^(long int)(x[q-1]));
x.pop_back();
}
else throw std::string("pallache: syntax error operator \"^\" requires two arguments");
}
else throw std::string("pallache: operator \"")+t.str+std::string("\" is not defined");
}
break;
case types::function:
{
X p=1.0L;
if(t.str[0]=='-')
{
p=-1.0L;
t.str.erase(0,1);
}
if(functions[t.str].builtin)
{
if(t.str=="cos")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::cos(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="sin")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::sin(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="tan")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::tan(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="acos")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::acos(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="asin")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::asin(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="atan")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::atan(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="atan2")
{
const size_t q=x.size();
if(q>1)
{
x[q-2]=p*std::atan2(x[q-2],x[q-1]);
x.pop_back();
}
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 2");
}
else if(t.str=="cosh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::cosh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="sinh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::sinh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="tanh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::tanh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="acosh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::acosh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="asinh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::asinh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="atanh")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::atanh(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="exp")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::exp(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="log")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::log(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="log10")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::log10(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="exp2")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::exp2(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="expm1")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::expm1(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="ilogb")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::ilogb(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="log1p")
{
const size_t q=x.size();
if(q>0) x[q-1]=p*std::log1p(x[q-1]);
else throw std::string("pallache: the function \"")+t.str+std::string("\" has dimesionality 1");
}
else if(t.str=="log2")