// CPosBigInt11.cpp
// 03/12/2004
// Author: AOU
/*
Implement very long positive integers and
simple operations associated with them
a="12000000000001111111111113"
b="62222222222222222222222222222222222223"
c = a+b
*/
//////////////////////////////////////////////////////////////////////
// include files
//////////////////////////////////////////////////////////////////////
#include <iostream.h>
#include <string.h>
#include <stdlib.h>
#include <limits.h>
//////////////////////////////////////////////////////////////////////
// constants
//////////////////////////////////////////////////////////////////////
const int MAX_DIGITS = 50;
const int TEST_COUNT = 20;
/*
const char *TEST_DATA[] =
{
"0", "1", "12", "123", "1234", "123450", "1234506", "12345067",
"123450670", "1234506708", "1234506708", "Hello", "PSU",
"9", "99", "999", "9999", "99999", "999999", "9999999",
"10", "200", "3000", "40000", "500000", "6000000", "70000000",
"800000000", "9000000000", "1090000000000", "11900000000000",
"129000000000000", "1390000000000000", "14900000000000000"
};
*/
const char *TEST_DATA[] =
{
"0", "1", "12", "123", "1234", "123450", "1234506", "12345067"
};
const int TEST_DATA_COUNT = sizeof(TEST_DATA)/sizeof(TEST_DATA[0]);
//////////////////////////////////////////////////////////////////////
// class CPosBigInt
//////////////////////////////////////////////////////////////////////
class CPosBigInt
{
private:
char _digits[MAX_DIGITS];
void initialize(void);
public:
CPosBigInt(void);
void display(void);
CPosBigInt(char d[]); // 2004.01.28
CPosBigInt(char ch); // p02 A:2004.01.30, P:2004.02.11
void displayMinimized(void); // p02 A:2004.01.30, P:2004.02.11
bool shiftLeft(void); // 2004.02.02
friend void add(CPosBigInt x, CPosBigInt y, CPosBigInt &z); // 2004.02.09
void displayScientific(void); // p03 A:2004.02.11
CPosBigInt(short int x); // 2004.02.16
// [SHRT_MIN, SHRT_MAX] = [-32767,32767]
CPosBigInt(unsigned short int x); // 2004.02.16
// [0, USHRT_MAX] = [0, 65535]
CPosBigInt(long int x); // 2004.02.16
// [LONG_MIN, LONG_MAX] = [-2147483647, 2147483647]
CPosBigInt(unsigned long int x); // 2004.02.16
// [0, ULONG_MAX] = [0, 4294967295]
void displayWithSeparatorForThousands(void);
friend ostream & operator << (ostream &bob, const CPosBigInt &bi); //2004.02.23
CPosBigInt(const CPosBigInt &bi); //2004.02.23
friend bool isEqual(const CPosBigInt &bi1, const CPosBigInt &bi2); //2004.02.23
bool isEqual(const CPosBigInt &bi2); //2004.02.25
bool operator ==(const CPosBigInt &bi2); //2004.02.25
bool operator < (const CPosBigInt &bi2); //p06 A:2004.02.16, P:2004.03.03
bool operator <= (const CPosBigInt &bi2); //p07 A:2004.03.04
bool operator > (const CPosBigInt &bi2); //p07 A:2004.03.04
bool operator >= (const CPosBigInt &bi2); //p07 A:2004.03.04
bool operator != (const CPosBigInt &bi2); //p07 A:2004.03.04
bool shiftRight(void);
bool shiftRight(int d);
bool shiftLeft(int d);
};
// void displayRev(void); //
//wish list
// shiftRight Matt
// subtract (-) Chad
// multiply (*) Brian
// divide (/) Grant
// input >> Alex
// negate Tony1
// square root Aifu
// array average Bill
// factorial Christine
// output << Tony2
// sort Yeh
// construct from short, unsigned short, long, unsigned long
//////////////////////////////////////////////////////////////////////
// friend functions prototypes
//////////////////////////////////////////////////////////////////////
void add(CPosBigInt x, CPosBigInt y, CPosBigInt &z);
//////////////////////////////////////////////////////////////////////
// driver prototypes
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_Str(void);
void driver_CPosBigInt_Constructor_Rand(void);
void driver_CPosBigInt_displayMinimized(void);
void driver_CPosBigInt_shiftLeft(void);
void driver_CPosBigInt_Constructor_RandZ(void);
void driver_CPosBigInt_add(void);
void driver_CPosBigInt_displayScientific(void);
void driver_CPosBigInt_Constructor_ShortInt(void);
void driver_CPosBigInt_Constructor_UnsignedShortInt(void);
void driver_CPosBigInt_Constructor_LongInt(void);
void driver_CPosBigInt_Constructor_UnsignedLongInt(void);
void driver_CPosBigInt_displayWithSeparatorForThousands(void);
void driver_CPosBigInt_OperatorInsertion(void);
void driver_CPosBigInt_ConstructorCopy(void);
void driver_CPosBigInt_isEqualFriend(void);
void driver_CPosBigInt_isEqual(void);
void driver_CPosBigInt_Operator_isEqual(void);
void driver_CPosBigInt_Operator_isLessThan(void);
void driver_CPosBigInt_Operator_isLessThanOrEqual(void);
void driver_CPosBigInt_Operator_isGreaterThan(void);
void driver_CPosBigInt_Operator_isGreaterThanOrEqual(void);
void driver_CPosBigInt_Operator_isNotEqual(void);
void driver_CPosBigInt_shiftRight(void);
void driver_CPosBigInt_shiftRightD(void);
void driver_CPosBigInt_shiftLeftD(void);
//////////////////////////////////////////////////////////////////////
// void main(void)
//////////////////////////////////////////////////////////////////////
void main(void)
{
//driver_CPosBigInt_Constructor_Str();
//driver_CPosBigInt_Constructor_Rand();
//driver_CPosBigInt_displayMinimized();
//driver_CPosBigInt_shiftLeft();
//driver_CPosBigInt_Constructor_RandZ();
//driver_CPosBigInt_add();
//driver_CPosBigInt_displayScientific();
//driver_CPosBigInt_Constructor_ShortInt();
//driver_CPosBigInt_Constructor_UnsignedShortInt();
//driver_CPosBigInt_Constructor_LongInt();
//driver_CPosBigInt_Constructor_UnsignedLongInt();
//driver_CPosBigInt_displayWithSeparatorForThousands();
//driver_CPosBigInt_OperatorInsertion();
//driver_CPosBigInt_ConstructorCopy();
//driver_CPosBigInt_isEqualFriend();
//driver_CPosBigInt_isEqual();
//driver_CPosBigInt_Operator_isEqual();
//driver_CPosBigInt_Operator_isLessThan();
//driver_CPosBigInt_Operator_isLessThanOrEqual();
//driver_CPosBigInt_Operator_isGreaterThan();
//driver_CPosBigInt_Operator_isGreaterThanOrEqual();
//driver_CPosBigInt_Operator_isNotEqual();
//driver_CPosBigInt_shiftRight();
//driver_CPosBigInt_shiftRightD();
driver_CPosBigInt_shiftLeftD();
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_shiftLeftD(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_shiftLeftD(void)
{
cout << "----------------------------\n";
cout << "driver_CPosBigInt_shiftLeftD\n";
cout << "----------------------------\n";
int da[] = {-1, 0, 1, MAX_DIGITS/2, MAX_DIGITS, MAX_DIGITS+1};
int daCount = sizeof(da)/sizeof(da[0]);
for (int i=0; i<daCount; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
int d = da[i];
a.shiftLeft(d);
cout << "After a.shiftLeft(" << d << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
for (i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
int d = -5 + rand()%(MAX_DIGITS +11);
a.shiftLeft(d);
cout << "After a.shiftLeft(" << d << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::shiftLeft(int d)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::shiftLeft(int d)
{
if (d == 0)
return true;
else if (d < 0)
return false;
else if (d >= MAX_DIGITS)
{
this->initialize();
return true;
}
else //d > 0 and d < MAX_DIGITS
{
cout << "code missing\n";
return true;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_shiftRightD(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_shiftRightD(void)
{
cout << "-----------------------------\n";
cout << "driver_CPosBigInt_shiftRightD\n";
cout << "-----------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
int d = -5 + rand()%(MAX_DIGITS +11);
a.shiftRight(d);
cout << "After a.shiftRight(" << d << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::shiftRight(int d)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::shiftRight(int d)
{
cout << "code missing\n";
return true;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_shiftRight(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_shiftRight(void)
{
cout << "----------------------------\n";
cout << "driver_CPosBigInt_shiftRight\n";
cout << "----------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
a.shiftRight();
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::shiftRight(void)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::shiftRight(void)
{
cout << "code missing\n";
return true;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isNotEqual(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isNotEqual(void)
{
cout << "-------------------------------------\n";
cout << "driver_CPosBigInt_Operator_isNotEqual\n";
cout << "-------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a != b)
cout << "a is NOT equal to b\n";
else
cout << "a is equal to b\n";
if (a != c)
cout << "a is NOT equal to c\n";
else
cout << "a is equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator != (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator != (const CPosBigInt &bi2)
{
return !(*this == bi2);
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isGreaterThanOrEqual(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isGreaterThanOrEqual(void)
{
cout << "-----------------------------------------------\n";
cout << "driver_CPosBigInt_Operator_isGreaterThanOrEqual\n";
cout << "-----------------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a >= b)
cout << "a is greater than or equal to b\n";
else
cout << "a is NOT greater than or equal to b\n";
if (a >= c)
cout << "a is greater than or equal to c\n";
else
cout << "a is NOT greater than or equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator >= (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator >= (const CPosBigInt &bi2)
{
return !(*this < bi2);
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isGreaterThan(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isGreaterThan(void)
{
cout << "----------------------------------------\n";
cout << "driver_CPosBigInt_Operator_isGreaterThan\n";
cout << "----------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a > b)
cout << "a is greater than b\n";
else
cout << "a is NOT greater than b\n";
if (a > c)
cout << "a is greater than c\n";
else
cout << "a is NOT greater than c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator > (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator > (const CPosBigInt &bi2)
{
CPosBigInt temp(bi2);
return (temp < *this);
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isLessThanOrEqual(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isLessThanOrEqual(void)
{
cout << "--------------------------------------------\n";
cout << "driver_CPosBigInt_Operator_isLessThanOrEqual\n";
cout << "--------------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a <= b)
cout << "a is less than or equal to b\n";
else
cout << "a is NOT less than or equal to b\n";
if (a <= c)
cout << "a is less than or equal to c\n";
else
cout << "a is NOT less than or equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator <= (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator <= (const CPosBigInt &bi2)
{
CPosBigInt temp(bi2);
return !(temp < *this);
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isLessThan(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isLessThan(void)
{
cout << "-------------------------------------\n";
cout << "driver_CPosBigInt_Operator_isLessThan\n";
cout << "-------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a < b)
cout << "a is less than b\n";
else
cout << "a is NOT less than b\n";
if (a < c)
cout << "a is less than c\n";
else
cout << "a is NOT less than c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator < (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator < (const CPosBigInt &bi2)
{
if (*this == bi2)
return false;
for (int i=0; i<=MAX_DIGITS-1; i++)
if (_digits[i] < bi2._digits[i])
return true;
else if (_digits[i] > bi2._digits[i])
return false;
return false;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Operator_isEqual(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Operator_isEqual(void)
{
cout << "----------------------------------\n";
cout << "driver_CPosBigInt_Operator_isEqual\n";
cout << "----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a.operator == (b))
cout << "a is equal to b\n";
else
cout << "a is NOT equal to b\n";
if (a == b)
cout << "a is equal to b\n";
else
cout << "a is NOT equal to b\n";
if (a == c)
cout << "a is equal to c\n";
else
cout << "a is NOT equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::operator == (const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::operator == (const CPosBigInt &bi2)
{
for (int i=0; i<MAX_DIGITS; i++)
if (this->_digits[i] != bi2._digits[i])
return false;
return true;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_isEqual(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_isEqual(void)
{
cout << "---------------------------------\n";
cout << "driver_CPosBigInt_isEqual\n";
cout << "---------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (a.isEqual(b))
cout << "a is equal to b\n";
else
cout << "a is NOT equal to b\n";
if (a.isEqual(c))
cout << "a is equal to c\n";
else
cout << "a is NOT equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::isEqual(const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool CPosBigInt::isEqual(const CPosBigInt &bi2)
{
for (int i=0; i<MAX_DIGITS; i++)
if (this->_digits[i] != bi2._digits[i])
return false;
return true;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_isEqualFriend(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_isEqualFriend(void)
{
cout << "---------------------------------\n";
cout << "driver_CPosBigInt_isEqualFriend\n";
cout << "---------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
CPosBigInt c('d');
cout << "c=" << c;
if (isEqual(a, b))
cout << "a is equal to b\n";
else
cout << "a is NOT equal to b\n";
if (isEqual(a, c))
cout << "a is equal to c\n";
else
cout << "a is NOT equal to c\n";
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool isEqual(const CPosBigInt &bi1, const CPosBigInt &bi2)
//////////////////////////////////////////////////////////////////////
bool isEqual(const CPosBigInt &bi1, const CPosBigInt &bi2)
{
for (int i=0; i<MAX_DIGITS; i++)
if (bi1._digits[i] != bi2._digits[i])
return false;
return true;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_ConstructorCopy(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_ConstructorCopy(void)
{
cout << "---------------------------------\n";
cout << "driver_CPosBigInt_ConstructorCopy\n";
cout << "---------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a=" << a;
CPosBigInt b(a);
cout << "b=" << b;
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(const CPosBigInt &bi)
//////////////////////////////////////////////////////////////////////
CPosBigInt::CPosBigInt(const CPosBigInt &bi)
{
for (int i=0; i<MAX_DIGITS; i++)
this->_digits[i] = bi._digits[i];
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_OperatorInsertion(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_OperatorInsertion(void)
{
cout << "-----------------------------------\n";
cout << "driver_CPosBigInt_OperatorInsertion\n";
cout << "-----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
cout << "a=" << a;
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// ostream & operator << (ostream &bob, const CPosBigInt &bi)
//////////////////////////////////////////////////////////////////////
ostream & operator << (ostream &john, const CPosBigInt &bi)
{
for (int i=0; i<MAX_DIGITS; i++)
john << bi._digits[i];
john << endl;
return john;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_displayWithSeparatorForThousands(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_displayWithSeparatorForThousands(void)
{
cout << "--------------------------------------------------\n";
cout << "driver_CPosBigInt_displayWithSeparatorForThousands\n";
cout << "--------------------------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
cout << "a="; a.displayMinimized();
cout << "a="; a.displayWithSeparatorForThousands();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// void CPosBigInt::displayWithSeparatorForThousands(void)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Display big integer with Separator For Thousands
Example:
000 => 0
123 => 123
1234 => 1,234
23456789 => 23,456,789
123456789 => 123,456,789
Obs0: Seperate each three digits with a comma
Obs1: Check the size and do accordingly
Obs2: Determine the digits to be displayed before first comma
Obs3: Display without any temporary holding variable
Obs4: Display with some temporary holding variable
Obs5: Process digits from left to right if using Obs3
Obs6: Process digits from right to left if using Obs4
Obs7: if we process from right to left we have to use temp var
Obs8: if we process from left to right we do not have to use temp var
Algorithm0:
Determine the number of leadingZeros
digitCount = MAX_DIGITS-leadingZeros
digitsBeforeComma = digitCount%3
i = leadingZeros
while digitsBeforeComma > 0
display digit[i]
i++
digitsBeforeComma--
end while
digitsPrinted=0
while i<MAX_DIGITS
if digitsPrinted = 0 then
display ','
diplay digit[i]
digitsPrinted++
end if
end while
Algorithm1:
Determine the number of leadingZeros
digitCount = MAX_DIGITS-leadingZeros
i = leadingZeros
while i<MAX_DIGITS
diplay digits[i]
i++
if i<MAX_DIGITS && (MAX_DIGITS-i)%3 = 0 then
display ','
end while
*/
void CPosBigInt::displayWithSeparatorForThousands(void)
{
int leadingZeros = MAX_DIGITS-1;
for (int i=0; i<=MAX_DIGITS-2; i++)
{
if (_digits[i] != '0')
{
leadingZeros = i;
break;
}
}
i = leadingZeros;
while (i<MAX_DIGITS)
{
cout << _digits[i];
i++;
if ((i<MAX_DIGITS) && (MAX_DIGITS-i)%3 == 0)
cout << ',';
}
cout << endl;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_UnsignedLongInt(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_UnsignedLongInt(void)
{
cout << "---------------------------------------------\n";
cout << "driver_CPosBigInt_Constructor_UnsignedLongInt\n";
cout << "---------------------------------------------\n";
unsigned long int x;
for (int i=0; i<=TEST_COUNT-1; i++)
{
x = rand()%ULONG_MAX;
x = 2*x;
x = x*x;
CPosBigInt a(x);
cout << "After CPosBigInt a(" << x << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(unsigned long int x)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Construct a big integer from a unsigned long integer
Example: CPosBigInt a(123) => a="000123"
Algorithm0:
initialize
get the last digit from x and put it in d
put d in the last position of digits[]
continue the same while going to the left
until no more digits in x
Algorithm1:
initialize
while x > 0
d = x%10
if d <> 0 then
put d in digits[] at the proper place
x = x/10
Algorithm2:
initialize
p = MAX_DIGITS-1
while x > 0
d = x%10
if d <> 0 then
convert and put d in digits[] at the proper(p) place
x = x/10
p--
end while
*/
CPosBigInt::CPosBigInt(unsigned long int x)
{
initialize();
int p = MAX_DIGITS-1;
while (x > 0)
{
int d = x%10;
if (d != 0)
_digits[p] = '0' + d;
x = x/10;
p--;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_LongInt(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_LongInt(void)
{
cout << "-------------------------------------\n";
cout << "driver_CPosBigInt_Constructor_LongInt\n";
cout << "-------------------------------------\n";
long int x;
for (int i=0; i<=TEST_COUNT-1; i++)
{
x = rand()%LONG_MAX;
x = x * x;
CPosBigInt a(x);
cout << "After CPosBigInt a(" << x << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(long int x)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Construct a big integer from a long integer
Example: CPosBigInt a(123) => a="000123"
Algorithm0:
initialize
get the last digit from x and put it in d
put d in the last position of digits[]
continue the same while going to the left
until no more digits in x
Algorithm1:
initialize
while x > 0
d = x%10
if d <> 0 then
put d in digits[] at the proper place
x = x/10
Algorithm2:
initialize
p = MAX_DIGITS-1
while x > 0
d = x%10
if d <> 0 then
convert and put d in digits[] at the proper(p) place
x = x/10
p--
end while
*/
CPosBigInt::CPosBigInt(long int x)
{
initialize();
int p = MAX_DIGITS-1;
while (x > 0)
{
int d = x%10;
if (d != 0)
_digits[p] = '0' + d;
x = x/10;
p--;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_UnsignedShortInt(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_UnsignedShortInt(void)
{
cout << "----------------------------------------------\n";
cout << "driver_CPosBigInt_Constructor_UnsignedShortInt\n";
cout << "----------------------------------------------\n";
unsigned short int x;
for (int i=0; i<=TEST_COUNT-1; i++)
{
x = rand()%USHRT_MAX;
x = 2*x;
CPosBigInt a(x);
cout << "After CPosBigInt a(" << x << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(unsigned short int x)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Construct a big integer from a short unsigned integer
Example: CPosBigInt a(123) => a="000123"
Algorithm0:
initialize
get the last digit from x and put it in d
put d in the last position of digits[]
continue the same while going to the left
until no more digits in x
Algorithm1:
initialize
while x > 0
d = x%10
if d <> 0 then
put d in digits[] at the proper place
x = x/10
Algorithm2:
initialize
p = MAX_DIGITS-1
while x > 0
d = x%10
if d <> 0 then
convert and put d in digits[] at the proper(p) place
x = x/10
p--
end while
*/
CPosBigInt::CPosBigInt(unsigned short int x)
{
initialize();
int p = MAX_DIGITS-1;
while (x > 0)
{
int d = x%10;
if (d != 0)
_digits[p] = '0' + d;
x = x/10;
p--;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_ShortInt(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_ShortInt(void)
{
cout << "--------------------------------------\n";
cout << "driver_CPosBigInt_Constructor_ShortInt\n";
cout << "--------------------------------------\n";
short int x;
for (int i=0; i<=TEST_COUNT-1; i++)
{
x = rand()%SHRT_MAX;
CPosBigInt a(x);
cout << "After CPosBigInt a(" << x << ");\n";
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(short int x)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Construct a big integer from a short integer
Example: CPosBigInt a(123) => a="000123"
Algorithm0:
initialize
get the last digit from x and put it in d
put d in the last position of digits[]
continue the same while going to the left
until no more digits in x
Algorithm1:
initialize
while x > 0
d = x%10
if d <> 0 then
put d in digits[] at the proper place
x = x/10
Algorithm2:
initialize
p = MAX_DIGITS-1
while x > 0
d = x%10
if d <> 0 then
convert and put d in digits[] at the proper(p) place
x = x/10
p--
end while
*/
CPosBigInt::CPosBigInt(short int x)
{
initialize();
int p = MAX_DIGITS-1;
while (x > 0)
{
int d = x%10;
if (d != 0)
_digits[p] = '0' + d;
x = x/10;
p--;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_displayScientific(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_displayScientific(void)
{
cout << "-----------------------------------\n";
cout << "driver_CPosBigInt_displayScientific\n";
cout << "-----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt x('d');
cout << "x="; x.display();
cout << "x="; x.displayScientific();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// void CPosBigInt::displayScientific(void)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Display big integers in scientific notation
Example: 000010000000 => 1E7
000120000000 => 12E7
000001230000 => 123E4
100000000000 => 1E11
000000000000 => 0E0
000000000001 => 1E0
Algorithm0:
posFirstNZD = position of first non-zero digit
posLastNZD = position of last non-zero digit
expo = MAX_DIGITS-1-posLastNZD
for i=posFirstNZD to posLastNZD
display digits[i]
end for
display 'E'
display expo
*/
void CPosBigInt::displayScientific(void)
{
int posFirstNZD = MAX_DIGITS-1;
for (int i=0; i<=MAX_DIGITS-1; i++)
if (_digits[i] != '0')
{
posFirstNZD = i;
break;
}
int posLastNZD = MAX_DIGITS-1;
for (i=MAX_DIGITS-1; i>=0; i--)
if (_digits[i] != '0')
{
posLastNZD = i;
break;
}
int expo = MAX_DIGITS-1-posLastNZD;
for (i=posFirstNZD; i<=posLastNZD; i++)
cout << _digits[i];
cout << 'E';
cout << expo << endl;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_add(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_add(void)
{
cout << "---------------------\n";
cout << "driver_CPosBigInt_add\n";
cout << "---------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt x('d'), y('d'), z('d');
cout << "x="; x.display();
cout << "y="; y.display();
cout << "z="; z.display();
add(x, y, z);
cout << "After add(x, y, z);\n";
cout << "x="; x.display();
cout << "y="; y.display();
cout << "z="; z.display();
}
for (i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt x('r'), y('r'), z('r');
cout << "x="; x.display();
cout << "y="; y.display();
cout << "z="; z.display();
add(x, y, z);
cout << "After add(x, y, z);\n";
cout << "x="; x.display();
cout << "y="; y.display();
cout << "z="; z.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// void add(CPosBigInt x, CPosBigInt y, CPosBigInt z)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Add the values of x and y and put result in z
Example: x=1234, y=67 => z=1301
Algorithm0:
Initialize z to zero
c = 0
for i= MAX_DIGITS-1 to 0 do the following
sum = x.digits[i] + y.digits[i] + c
d = sum%10
c = sum/10
z.digits[i]=d
end for
*/
void add(CPosBigInt x, CPosBigInt y, CPosBigInt &z)
{
z.initialize();
int c = 0, d, sum;
for (int i= MAX_DIGITS-1; i>=0; i--)
{
sum = (x._digits[i]-'0') + (y._digits[i]-'0') + c;
d = sum%10;
c = sum/10;
z._digits[i]='0'+ d;
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_RandZ(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_RandZ(void)
{
cout << "----------------------------------\n";
cout << "driver_CPosBigInt_Constructor_RandZ\n";
cout << "----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('z');
cout << "a="; a.display();
cout << "------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_shiftLeft(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_shiftLeft(void)
{
cout << "---------------------------\n";
cout << "driver_CPosBigInt_shiftLeft\n";
cout << "----------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('d');
cout << "a="; a.display();
a.shiftLeft();
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// bool CPosBigInt::shiftLeft(void)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Shift left all the digits
Example: '00012' => '00120'
Algorithm:
if the first digit is non-zero then
overflow = true
else
overflow = false
for i=0 to MAX_DIGITS-2
digits[i] = digits[i+1]
end for
digits[MAX_DIGITS-1] = '0'
return not(overflow)
*/
bool CPosBigInt::shiftLeft(void)
{
bool overflow;
if (_digits[0] != '0')
overflow = true;
else
overflow = false;
for (int i=0; i<=MAX_DIGITS-2; i++) //corrected 2004.03.11
_digits[i] = _digits[i+1];
_digits[MAX_DIGITS-1] = '0';
return !overflow;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_displayMinimized(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_displayMinimized(void)
{
cout << "----------------------------------\n";
cout << "driver_CPosBigInt_displayMinimized\n";
cout << "----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('r');
cout << "a="; a.display();
cout << "a="; a.displayMinimized();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// void CPosBigInt::displayMinimized(void)
//////////////////////////////////////////////////////////////////////
/*
Purpose: Display a big integer in minimized form (without leading zeros)
Examples: 000000123 will be displayed as 123
Algorithm:
do the following for i=0 to MAX_DIGITS-2
if digits[i] != '0' then
startPrint = i
exit loop
end if
end do
do the following for i=startPrint to MAX_DIGITS-1
display digits[i]
end do
*/
void CPosBigInt::displayMinimized(void)
{
int startPrint = MAX_DIGITS-1; //corrected 2004.02.18
for (int i=0; i<=MAX_DIGITS-2; i++)
{
if (_digits[i] != '0')
{
startPrint = i;
break;
}
}
for (i=startPrint; i<=MAX_DIGITS-1; i++)
cout << _digits[i];
cout << endl;
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_Rand(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_Rand(void)
{
cout << "----------------------------------\n";
cout << "driver_CPosBigInt_Constructor_Rand\n";
cout << "----------------------------------\n";
for (int i=0; i<=TEST_COUNT-1; i++)
{
CPosBigInt a('r');
cout << "a="; a.display();
cout << "----------------------------------------------------\n";
}
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(char ch)
//////////////////////////////////////////////////////////////////////
/*
Purpose: A constructor to create a random big integer
Examples: CPosBigInt x('r'); could give x=667621
Algorithm:
initialize all digits with zeros
set leadingZeros to a random number between 0 and MAX_DIGITS;
do the following for i=leadingZeros to MAX_DIGITS-1
d = random integer between 0 and 9
c = random character betwwe '0' to '9' using d
digits[i] = c
end do
*/
CPosBigInt::CPosBigInt(char ch)
{
initialize();
if ('r' == ch)
{
int leadingZeros = rand()%(MAX_DIGITS+1);
for (int i=0; i<=MAX_DIGITS-1; i++)
{
char c;
if (i < leadingZeros)
c = '0';
else
c = '0' + rand()%10;
_digits[i] = c;
}
}
if ('d' == ch)
{
int k = rand()%TEST_DATA_COUNT;
int len = strlen(TEST_DATA[k]);
for (int j=0; j<=len-1; j++)
if (TEST_DATA[k][j] < '0' || TEST_DATA[k][j] >'9')
return;
for (int i=0; i<=len-1; i++)
_digits[MAX_DIGITS-len+i] = TEST_DATA[k][i];
}
if ('z' == ch)
{
// create a random big integer from test data
// with lots of leading and trailing zeros
// fully contained
// Algorithm0:
// initialize with zeros
// pick a spot randomly so that TEST_DATA[k] would be fully contained
// put the TEST_DATA[k] starting at that point
// Algorithm1:
// initialize with zeros
// k = random(0..TEST_DATA_COUNT-1)
// len = length of TEST_DATA[k]
// spot = rand(0..MAX_DIGITS-len-1]
// for i=0 to len-1 do
// digits[spot+i] = TEST_DATA[k][i]
// end do
int k = rand()%TEST_DATA_COUNT;
//cout << " k = " << k << endl;
int len = strlen(TEST_DATA[k]);
//cout << " len = " << len << endl;
//cout << "from constructor CPosBigInt(char ch) " << TEST_DATA[k] << endl;
for (int j=0; j<=len-1; j++)
if (TEST_DATA[k][j] < '0' || TEST_DATA[k][j] >'9')
return;
int spot = rand()%(MAX_DIGITS-len);
//cout << " spot = " << spot << endl;
for (int i=0; i<=len-1; i++)
_digits[spot+i] = TEST_DATA[k][i];
}
}
//////////////////////////////////////////////////////////////////////
// void CPosBigInt::initialize(void)
//////////////////////////////////////////////////////////////////////
/*
Initializes a big integer with zeros
*/
void CPosBigInt::initialize(void)
{
for (int i=0; i<MAX_DIGITS; i++)
_digits[i] = '0';
}
//////////////////////////////////////////////////////////////////////
// void driver_CPosBigInt_Constructor_Str(void)
//////////////////////////////////////////////////////////////////////
void driver_CPosBigInt_Constructor_Str(void)
{
cout << "---------------------------------\n";
cout << "driver_CPosBigInt_Constructor_Str\n";
cout << "---------------------------------\n";
CPosBigInt a("1234");
cout << "a="; a.display();
CPosBigInt b("12");
cout << "b="; b.display();
CPosBigInt c("Hello");
cout << "c="; c.display();
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(char d[])
//////////////////////////////////////////////////////////////////////
/*
A constructor that takes a character array and
creates and initializes a big integer
CPosBigInt a("12345");
will create object a with value 12345
"12345"
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000012345
Algorithm:
fill digits with zeros
for
len = length of a[]
digits[MAX_DIGITS-len] = d[0]
digits[MAX_DIGITS-len+1] = d[1]
digits[MAX_DIGITS-len+2] = d[2]
digits[MAX_DIGITS-len+3] = d[3]
digits[MAX_DIGITS-len+4] = d[4]
for i=0 to len-1
digits[MAX_DIGITS-len+i] = d[i]
*/
CPosBigInt::CPosBigInt(char d[])
{
initialize();
int len = strlen(d);
for (int j=0; j<=len-1; j++)
if (d[j] < '0' || d[j] >'9')
return;
for (int i=0; i<=len-1; i++)
_digits[MAX_DIGITS-len+i] = d[i];
}
//////////////////////////////////////////////////////////////////////
// CPosBigInt::CPosBigInt(void)
//////////////////////////////////////////////////////////////////////
CPosBigInt::CPosBigInt(void)
{
initialize();
};
//////////////////////////////////////////////////////////////////////
// void CPosBigInt::display(void)
//////////////////////////////////////////////////////////////////////
void CPosBigInt::display(void)
{
for (int i=0; i<MAX_DIGITS; i++)
cout << _digits[i];
cout << endl;
};
//////////////////////////////////////////////////////////////////////
// IMPORTANT TO REMEMBER
//////////////////////////////////////////////////////////////////////
/*
cout << "// [SHRT_MIN, SHRT_MAX] = [-32767,32767]\n";
cout << "[" << SHRT_MIN << ", " << SHRT_MAX << "]\n";
cout << "// [0, USHRT_MAX] = [0, 65535]\n";
cout << "[" << 0 << ", " << USHRT_MAX << "]\n";
cout << "// [LONG_MIN, LONG_MAX] = [-2147483647, 2147483647]\n";
cout << "[" << LONG_MIN << ", " << LONG_MAX << "]\n";
cout << "// [0, ULONG_MAX] = [0, 4294967295]\n";
cout << "[" << 0 << ", " << ULONG_MAX << "]\n";
*/
//////////////////////////////////////////////////////////////////////
// SAMPLE OUTPUT:
//////////////////////////////////////////////////////////////////////
/*
*/
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