math.cpp

一个在linux下的shell的计算器

/*
 *
 *
 *
 */

#include <iostream>
#include "math.h"
#include "interpreter.h"

using namespace std;

//
//
//
long factorial(long x)
{
 return ((x == 0) ? 1 : x*factorial(x-1));
}

double sign(double x) 
{
 return ((x == 0) ? 0 : ((x > 0) ? 1 : -1));
}

//
//
//
void LoadMath(ItemList & list)
{
 list.Add(new Operation(PI, "pi", 0));
 list.Add(new Operation(E, "e", 0));
 list.Add(new Operation(PHI, "phi", 0));
 list.Add(new Operation(RAND, "rand", 0));
 list.Add(new Operation(ABS, "abs", 1));
 list.Add(new Operation(SGN, "sign", 1));
 list.Add(new Operation(CEIL, "ceil", 1));
 list.Add(new Operation(FLOOR, "floor", 1));
 list.Add(new Operation(ROUND, "round", 1));
 list.Add(new Operation(INV, "inv", 1));
 list.Add(new Operation(SQR, "sqr", 1));
 list.Add(new Operation(SQRT, "sqrt", 1));
 list.Add(new Operation(CBRT, "cbrt", 1));
 list.Add(new Operation(EXP, "exp", 1));
 list.Add(new Operation(EXP10, "exp10", 1));
 list.Add(new Operation(EXP2, "exp2", 1));
 list.Add(new Operation(FACT, "!", 1));
 list.Add(new Operation(LN, "ln", 1));
 list.Add(new Operation(LOG, "log", 1));
 list.Add(new Operation(LOG2, "log2", 1));
 list.Add(new Operation(SIN, "sin", 1));
 list.Add(new Operation(COS, "cos", 1));
 list.Add(new Operation(TAN, "tan", 1));
 list.Add(new Operation(ASIN, "asin", 1));
 list.Add(new Operation(ACOS, "acos", 1));
 list.Add(new Operation(ATAN, "atan", 1));
 list.Add(new Operation(SINH, "sinh", 1));
 list.Add(new Operation(COSH, "cosh", 1));
 list.Add(new Operation(TANH, "tanh", 1));
 list.Add(new Operation(ASINH, "asinh", 1));
 list.Add(new Operation(ACOSH, "acosh", 1));
 list.Add(new Operation(ATANH, "atanh", 1));
 list.Add(new Operation(PLUS, "+", 2));
 list.Add(new Operation(MINUS, "-", 2));
 list.Add(new Operation(MULT, "*", 2));
 list.Add(new Operation(DIV, "/", 2));
 list.Add(new Operation(POW, "pow", 2));
 list.Add(new Operation(ROOT, "root", 2));

 // Alias 
 list.Add(new Operation(PLUS, "plus", 2));
 list.Add(new Operation(MINUS, "minus", 2));
 list.Add(new Operation(MULT, "times", 2));
 list.Add(new Operation(DIV, "divided", 2));
 list.Add(new Operation(POW, "power", 2));
 list.Add(new Operation(POW, "^", 2));
 list.Add(new Operation(POW, "**", 2));
 list.Add(new Operation(ROOT, "//", 2));
 list.Add(new Operation(SQRT, "v-", 1));
 list.Add(new Operation(EXP10, "10x", 1));
 list.Add(new Operation(EXP2, "2x", 1));
 list.Add(new Operation(LN, "logn", 1));
 list.Add(new Operation(LOG, "log10", 1));
 list.Add(new Operation(SGN, "sgn", 1));
 list.Add(new Operation(INV, "\\", 1));
}

//
//
//
void BasicMathHelp()
{
 cout << endl << "Basic Mathematical operations: " << endl << endl;
 cout << "  +        Addition." << endl;
 cout << "  -        Substraction." << endl;
 cout << "  *        Multiplication." << endl;
 cout << "  /        Division." << endl;
 cout << "  pow      Power." << endl;
 cout << "  root     Root." << endl;
 cout << "  inv      Multiplicative inverse." << endl;
 cout << "  sqr      Square." << endl;
 cout << "  sqrt     Square root." << endl;
 cout << "  cbrt     Cube root." << endl;
 cout << "  exp      Exponential (base e)." << endl;
 cout << "  10x      Exponential (base 10)." << endl;
 cout << "  2x       Exponential (base 2)." << endl;
 cout << "  ln       Natural (base e) logarithm." << endl;
 cout << "  log      Base 10 logarithm." << endl;
 cout << "  log2     Base 2 logarithm." << endl;
 cout << "  abs      Absolute value." << endl; 
 cout << "  sgn      Sign." << endl;
 cout << "  round    Round to nearest integer." << endl;
 cout << "  ceil     Round up to nearest integer." << endl;
 cout << "  floor    Round down to nearest integer." << endl;
}

//
//
//
void TrigHelp()
{
 cout << endl << "Trigonometric functions: " << endl << endl;
 cout << "  sin      Sine." << endl;
 cout << "  cos      Cosine." << endl;
 cout << "  tan      Tangent." << endl;
 cout << "  asin     Arc sine." << endl;
 cout << "  acos     Arc cosine." << endl;
 cout << "  atan     Arc tangent." << endl;
 cout << "  sinh     Hyperbolic sine." << endl;
 cout << "  cosh     Hyperbolic cosine." << endl;
 cout << "  tanh     Hyperbolic tangent." << endl;
 cout << "  asinh    Arc hyperbolic sine." << endl;
 cout << "  acosh    Arc hyperbolic cosine." << endl;
 cout << "  atanh    Arc hyperbolic tangent." << endl;
}

//
//
//
void ConstantsHelp()
{
 cout << endl << "Mathematical constants: " << endl << endl;
 cout << "  pi       Circunference / diameter ratio." << endl;
 cout << "  e        Base of the natural logarithm." << endl;
 cout << "  phi      The \"Golden ratio\"." << endl;
}