420 lines
7.2 KiB
C++
420 lines
7.2 KiB
C++
/*
|
|
* This file is a part of TTMath Bignum Library
|
|
* and is distributed under the 3-Clause BSD Licence.
|
|
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
|
*/
|
|
|
|
/*
|
|
* Copyright (c) 2012, Tomasz Sowa
|
|
* All rights reserved.
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions are met:
|
|
*
|
|
* * Redistributions of source code must retain the above copyright notice,
|
|
* this list of conditions and the following disclaimer.
|
|
*
|
|
* * Redistributions in binary form must reproduce the above copyright
|
|
* notice, this list of conditions and the following disclaimer in the
|
|
* documentation and/or other materials provided with the distribution.
|
|
*
|
|
* * Neither the name Tomasz Sowa nor the names of contributors to this
|
|
* project may be used to endorse or promote products derived
|
|
* from this software without specific prior written permission.
|
|
*
|
|
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
|
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
|
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
|
|
* THE POSSIBILITY OF SUCH DAMAGE.
|
|
*/
|
|
|
|
#ifndef headerfilettmathdec
|
|
#define headerfilettmathdec
|
|
|
|
#include "ttmathtypes.h"
|
|
#include "ttmaththreads.h"
|
|
#include "ttmathuint.h"
|
|
|
|
|
|
|
|
namespace ttmath
|
|
{
|
|
|
|
template<uint value_size, uint dec_digits>
|
|
class Dec
|
|
{
|
|
public:
|
|
|
|
UInt<value_size> value;
|
|
unsigned char info;
|
|
|
|
|
|
/*!
|
|
Sign
|
|
the mask of a bit from 'info' which means that there is a sign
|
|
(when the bit is set)
|
|
*/
|
|
#define TTMATH_DEC_SIGN 128
|
|
|
|
|
|
/*!
|
|
Not a number
|
|
if this bit is set that there is not a valid number
|
|
*/
|
|
#define TTMATH_DEC_NAN 64
|
|
|
|
|
|
|
|
|
|
Dec()
|
|
{
|
|
info = TTMATH_DEC_NAN;
|
|
}
|
|
|
|
|
|
Dec(const char * s)
|
|
{
|
|
info = TTMATH_DEC_NAN;
|
|
FromString(s);
|
|
}
|
|
|
|
|
|
Dec<value_size, dec_digits> & operator=(const char * s)
|
|
{
|
|
FromString(s);
|
|
|
|
return *this;
|
|
}
|
|
|
|
|
|
uint FromString(const char * s, const char ** after_source = 0, bool * value_read = 0)
|
|
{
|
|
return FromStringBase(s, after_source, value_read);
|
|
}
|
|
|
|
|
|
void ToString(std::string & result) const
|
|
{
|
|
ToStringBase(result);
|
|
}
|
|
|
|
|
|
/*!
|
|
this method clears a specific bit in the 'info' variable
|
|
|
|
bit is one of:
|
|
*/
|
|
void ClearInfoBit(unsigned char bit)
|
|
{
|
|
info = info & (~bit);
|
|
}
|
|
|
|
|
|
/*!
|
|
this method sets a specific bit in the 'info' variable
|
|
|
|
bit is one of:
|
|
|
|
*/
|
|
void SetInfoBit(unsigned char bit)
|
|
{
|
|
info = info | bit;
|
|
}
|
|
|
|
|
|
/*!
|
|
this method returns true if a specific bit in the 'info' variable is set
|
|
|
|
bit is one of:
|
|
*/
|
|
bool IsInfoBit(unsigned char bit) const
|
|
{
|
|
return (info & bit) != 0;
|
|
}
|
|
|
|
|
|
bool IsNan() const
|
|
{
|
|
return IsInfoBit(TTMATH_DEC_NAN);
|
|
}
|
|
|
|
|
|
bool IsSign() const
|
|
{
|
|
return IsInfoBit(TTMATH_DEC_SIGN);
|
|
}
|
|
|
|
|
|
/*!
|
|
this method sets the sign
|
|
|
|
e.g.
|
|
-1 -> -1
|
|
2 -> -2
|
|
|
|
we do not check whether there is a zero or not, if you're using this method
|
|
you must be sure that the value is (or will be afterwards) different from zero
|
|
*/
|
|
void SetSign()
|
|
{
|
|
SetInfoBit(TTMATH_DEC_SIGN);
|
|
}
|
|
|
|
|
|
void SetNaN()
|
|
{
|
|
SetInfoBit(TTMATH_DEC_NAN);
|
|
}
|
|
|
|
|
|
void Abs()
|
|
{
|
|
ClearInfoBit(TTMATH_DEC_SIGN);
|
|
}
|
|
|
|
|
|
|
|
uint Add(const Dec<value_size, dec_digits> & arg)
|
|
{
|
|
uint c = 0;
|
|
|
|
if( IsSign() == arg.IsSign() )
|
|
{
|
|
c += value.Add(arg.value);
|
|
}
|
|
else
|
|
{
|
|
bool is_sign;
|
|
|
|
if( value > arg.value )
|
|
{
|
|
is_sign = IsSign();
|
|
value.Sub(arg.value);
|
|
}
|
|
else
|
|
{
|
|
is_sign = arg.IsSign();
|
|
UInt<value_size> temp(this->value);
|
|
value = arg.value;
|
|
value.Sub(temp);
|
|
}
|
|
|
|
is_sign ? SetSign() : Abs();
|
|
}
|
|
|
|
if( c )
|
|
SetNaN();
|
|
|
|
return (c==0)? 0 : 1;
|
|
}
|
|
|
|
/*
|
|
uint Sub(const Dec<value_size, dec_digits> & arg)
|
|
{
|
|
}
|
|
*/
|
|
|
|
private:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifndef TTMATH_MULTITHREADS
|
|
|
|
/*!
|
|
*/
|
|
void SetMultipler(UInt<value_size> & result)
|
|
{
|
|
// this guardian is initialized before the program runs (static POD type)
|
|
static int guardian = 0;
|
|
static UInt<value_size> multipler;
|
|
|
|
if( guardian == 0 )
|
|
{
|
|
multipler = 10;
|
|
multipler.Pow(dec_digits);
|
|
guardian = 1;
|
|
}
|
|
|
|
result = multipler;
|
|
}
|
|
|
|
#else
|
|
|
|
/*!
|
|
*/
|
|
void SetMultipler(UInt<value_size> & result)
|
|
{
|
|
// this guardian is initialized before the program runs (static POD type)
|
|
volatile static sig_atomic_t guardian = 0;
|
|
static UInt<value_size> * pmultipler;
|
|
|
|
// double-checked locking
|
|
if( guardian == 0 )
|
|
{
|
|
ThreadLock thread_lock;
|
|
|
|
// locking
|
|
if( thread_lock.Lock() )
|
|
{
|
|
static UInt<value_size> multipler;
|
|
|
|
if( guardian == 0 )
|
|
{
|
|
pmultipler = &multipler;
|
|
multipler = 10;
|
|
multipler.Pow(dec_digits);
|
|
guardian = 1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// there was a problem with locking, we store the result directly in 'result' object
|
|
result = 10;
|
|
result.Pow(dec_digits);
|
|
|
|
return;
|
|
}
|
|
|
|
// automatically unlocking
|
|
}
|
|
|
|
result = *pmultipler;
|
|
}
|
|
|
|
#endif
|
|
|
|
|
|
|
|
/*!
|
|
an auxiliary method for converting from a string
|
|
*/
|
|
template<class char_type>
|
|
uint FromStringBase(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
|
|
{
|
|
UInt<value_size> multipler;
|
|
const char_type * after;
|
|
uint c = 0;
|
|
info = 0;
|
|
|
|
Misc::SkipWhiteCharacters(s);
|
|
|
|
if( *s == '-' )
|
|
{
|
|
s += 1;
|
|
SetSign();
|
|
}
|
|
else
|
|
if( *s == '+' )
|
|
{
|
|
s += 1;
|
|
}
|
|
|
|
c += value.FromString(s, 10, &after, value_read);
|
|
|
|
if( after_source )
|
|
*after_source = after;
|
|
|
|
SetMultipler(multipler);
|
|
c += value.Mul(multipler);
|
|
|
|
if( *after == '.' )
|
|
c += FromStringBaseAfterComma(after+1, after_source);
|
|
|
|
if( c )
|
|
SetInfoBit(TTMATH_DEC_NAN);
|
|
|
|
return (c==0)? 0 : 1;
|
|
}
|
|
|
|
|
|
template<class char_type>
|
|
uint FromStringBaseAfterComma(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
|
|
{
|
|
UInt<value_size> temp;
|
|
UInt<value_size> multipler;
|
|
sint z;
|
|
uint c = 0;
|
|
size_t i = dec_digits;
|
|
|
|
SetMultipler(multipler);
|
|
|
|
for( ; i>0 && (z=Misc::CharToDigit(*s, 10)) != -1 ; --i, ++s )
|
|
{
|
|
multipler.DivInt(10);
|
|
temp.SetZero();
|
|
|
|
if( value_read )
|
|
*value_read = true;
|
|
|
|
if( c == 0 )
|
|
{
|
|
temp.table[0] = z;
|
|
c += temp.Mul(multipler);
|
|
c += value.Add(temp);
|
|
}
|
|
}
|
|
|
|
if( i == 0 && (z=Misc::CharToDigit(*s, 10)) != -1 && z >= 5 )
|
|
c += value.AddOne();
|
|
|
|
if( after_source )
|
|
{
|
|
while( (z=Misc::CharToDigit(*s, 10)) != -1 )
|
|
s += 1;
|
|
|
|
*after_source = s;
|
|
}
|
|
|
|
return c;
|
|
}
|
|
|
|
|
|
|
|
template<class string_type>
|
|
void ToStringBase(string_type & result) const
|
|
{
|
|
if( IsNan() )
|
|
{
|
|
result = "NaN";
|
|
return;
|
|
}
|
|
|
|
value.ToStringBase(result, 10, IsSign());
|
|
|
|
if( dec_digits > 0 )
|
|
{
|
|
size_t size = result.size();
|
|
|
|
if( IsSign() && size > 0 )
|
|
size -= 1;
|
|
|
|
if( dec_digits >= size )
|
|
{
|
|
size_t zeroes = dec_digits - size + 1;
|
|
size_t start = IsSign() ? 1 : 0;
|
|
result.insert(start, zeroes, '0');
|
|
}
|
|
|
|
result.insert(result.end() - dec_digits, '.');
|
|
}
|
|
}
|
|
|
|
|
|
|
|
};
|
|
|
|
|
|
} // namespace
|
|
|
|
#endif
|