AbaKus – a complex calculator
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/* HMath: C++ high precision math routines
Copyright (C) 2004 Ariya Hidayat <ariya.hidayat@gmail.com>
This file was copied from the SpeedCrunch program. Please visit
http://speedcrunch.berlios.de/ for more information.
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, write to:
The Free Software Foundation, Inc.
51 Franklin Street, Fifth Floor
Boston, MA 02110-1301 USA.
*/
#ifndef HMATH_H
#define HMATH_H
#include <iostream>
class HMath;
class HNumber
{
friend class HMath;
public:
/*!
* Creates a new number.
*/
HNumber();
/*!
* Destroys this number.
*/
~HNumber();
/*!
* Copies from another number.
*/
HNumber( const HNumber& );
/*!
* Assigns from another number.
*/
HNumber& operator=( const HNumber& );
/*!
* Creates a new number from an integer value.
*/
HNumber( int i );
/*!
* Creates a new number from a string.
*/
HNumber( const char* );
/*!
* Returns true if this number is Not a Number (NaN).
*/
bool isNan() const;
/*!
* Returns true if this number is zero.
*/
bool isZero() const;
/*!
* Returns true if this number is more than zero.
*/
bool isPositive() const;
/*!
* Returns true if this number is less than zero.
*/
bool isNegative() const;
/*!
* Adds another number.
*/
HNumber operator+( const HNumber& ) const;
/*!
* Adds another number.
*/
HNumber& operator+=( const HNumber& );
/*!
* Subtract from another number.
*/
HNumber operator-( const HNumber& ) const;
/*!
* Subtract from another number.
*/
HNumber& operator-=( const HNumber& );
/*!
* Multiplies with another number.
*/
HNumber operator*( const HNumber& ) const;
/*!
* Multiplies with another number.
*/
HNumber& operator*=( const HNumber& );
/*!
* Divides with another number.
*/
HNumber operator/( const HNumber& ) const;
/*!
* Divides with another number.
*/
HNumber& operator/=( const HNumber& );
/*!
* Returns true if this number is greater than n.
*/
bool operator>( const HNumber& n ) const;
/*!
* Returns true if this number is less than n.
*/
bool operator<( const HNumber& n ) const;
/*!
* Returns true if this number is greater than or equal to n.
*/
bool operator>=( const HNumber& n ) const;
/*!
* Returns true if this number is less than or equal to n.
*/
bool operator<=( const HNumber& n ) const;
/*!
* Returns true if this number is equal to n.
*/
bool operator==( const HNumber& n ) const;
/*!
* Returns true if this number is not equal to n.
*/
bool operator!=( const HNumber& n ) const;
/*!
* Returns a NaN (Not a Number).
*/
static HNumber nan();
private:
class Private;
Private* d;
};
class TQString;
class HMath
{
public:
/*!
* Formats the given number as string, using specified decimal digits.
* Note that the returned string must be freed.
*/
static char* format( const HNumber&n, char format = 'g', int prec = -1 );
/*!
* Formats the given number as string, using specified decimal digits.
* Note that the returned string must be freed.
*/
static char* formatFixed( const HNumber&n, int prec = -1 );
/*!
* Formats the given number as string, in exponential format.
* Note that the returned string must be freed.
*/
static char* formatExp( const HNumber&n, int prec = -1 );
/*!
* Formats the given number as string, using specified decimal digits.
* Note that the returned string must be freed.
*/
static char* formatGeneral( const HNumber&n, int prec = -1 );
static TQString formatGenString( const HNumber &n, int prec = -1 );
/*!
* Returns the constant pi.
*/
static HNumber pi();
/*!
* Adds two numbers.
*/
static HNumber add( const HNumber& n1, const HNumber& n2 );
/*!
* Subtracts two numbers.
*/
static HNumber sub( const HNumber& n1, const HNumber& n2 );
/*!
* Multiplies two numbers.
*/
static HNumber mul( const HNumber& n1, const HNumber& n2 );
/*!
* Divides two numbers.
*/
static HNumber div( const HNumber& n1, const HNumber& n2 );
/*!
* Returns -1, 0, 1 if n1 is less than, equal to, or more than n2.
*/
static int compare( const HNumber& n1, const HNumber& n2 );
/*!
* Returns the absolute value of n.
*/
static HNumber abs( const HNumber& n );
/*!
* Returns the negative of n.
*/
static HNumber negate( const HNumber& n );
/*!
* Returns the integer part of n.
*/
static HNumber integer( const HNumber& n );
/*!
* Returns the fraction part of n.
*/
static HNumber frac( const HNumber& n );
/*!
* Rounds n to the specified decimal digits.
*/
static HNumber round( const HNumber&n, int prec = 0 );
/*!
* Returns the square root of n. If n is negative, returns NaN.
*/
static HNumber sqrt( const HNumber& n );
/*!
* Raises n1 to an integer n.
*/
static HNumber raise( const HNumber& n1, int n );
/*!
* Raises n1 to n2.
*/
static HNumber raise( const HNumber& n1, const HNumber& n2 );
/*!
* Returns e raised to x.
*/
static HNumber exp( const HNumber& x );
/*!
* Returns the natural logarithm of x.
* If x is non positive, returns NaN.
*/
static HNumber ln( const HNumber& x );
/*!
* Returns the base-10 logarithm of x.
* If x is non positive, returns NaN.
*/
static HNumber log( const HNumber& x );
/*!
* Returns the sine of x. Note that x must be in radians.
*/
static HNumber sin( const HNumber& x );
/*!
* Returns the cosine of x. Note that x must be in radians.
*/
static HNumber cos( const HNumber& x );
/*!
* Returns the tangent of x. Note that x must be in radians.
*/
static HNumber tan( const HNumber& x );
/*!
* Returns the arc sine of x.
*/
static HNumber asin( const HNumber& x );
/*!
* Returns the arc cosine of x.
*/
static HNumber acos( const HNumber& x );
/*!
* Returns the arc tangent of x.
*/
static HNumber atan( const HNumber& x );
/*!
* Returns the hyperbolic sine of x. Note that x must be in radians.
*/
static HNumber sinh( const HNumber& x );
/*!
* Returns the arc hyperbolic sine of x. The result is in radians.
*/
static HNumber asinh( const HNumber & x );
/*!
* Returns the hyperbolic cosine of x. Note that x must be in radians.
*/
static HNumber cosh( const HNumber& x );
/*!
* Returns the arc hyperbolic cosine of x. The result is in radians.
*/
static HNumber acosh( const HNumber & x );
/*!
* Returns the hyperbolic tangent of x. Note that x must be in radians.
*/
static HNumber tanh( const HNumber& x );
/*!
* Returns the arc hyperbolic tangent of x. The result is in radians.
*/
static HNumber atanh( const HNumber & x );
/*!
* Releases all resources. After calling this function, you can not use
* any other functions as well as class HNumber.
*/
static void finalize();
};
std::ostream& operator<<( std::ostream& s, HNumber );
#endif // HMATH_H
// vim: set et sw=2 ts=8: