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/*
Copyright (c) 2005-2015, Andriy Kozachuk
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 of Andriy Kozachuk nor the names of its contributors 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.
*/
using
System
;
namespace
IntXLib
{
/// <summary>
/// Numeric class which represents arbitrary-precision integers.
/// </summary>
sealed
public
class
IntX
:
IEquatable
<
IntX
>
,
IEquatable
<
int
>
,
IEquatable
<
uint
>
,
IEquatable
<
long
>
,
IEquatable
<
ulong
>
,
IComparable
,
IComparable
<
IntX
>
,
IComparable
<
int
>
,
IComparable
<
uint
>
,
IComparable
<
long
>
,
IComparable
<
ulong
>
{
#if
DEBUG
/// <summary>
/// Lock for maximal error during FHT rounding (debug-mode only).
/// </summary>
static
readonly
internal
object
_maxFhtRoundErrorLock
=
new
object
(
)
;
/// <summary>
/// Maximal error during FHT rounding (debug-mode only).
/// </summary>
static
public
double
MaxFhtRoundError
;
#endif
#region Static fields
static
IntXGlobalSettings
_globalSettings
=
new
IntXGlobalSettings
(
)
;
#endregion Static fields
#region Internal fields
internal
uint
[
]
_digits
;
// big integer digits
internal
uint
_length
;
// big integer digits length
internal
bool
_negative
;
// big integer sign ("-" if true)
IntXSettings
_settings
=
new
IntXSettings
(
GlobalSettings
)
;
#endregion Internal fields
#region Constructors
/// <summary>
/// Creates new big integer with zero value.
/// </summary>
public
IntX
(
)
:
this
(
0
)
{
}
/// <summary>
/// Creates new big integer from integer value.
/// </summary>
/// <param name="value">Integer value to create big integer from.</param>
public
IntX
(
int
value
)
{
if
(
value
==
0
)
{
// Very specific fast processing for zero values
InitFromZero
(
)
;
}
else
{
// Prepare internal fields
_digits
=
new
uint
[
_length
=
1
]
;
// Fill the only big integer digit
DigitHelper
.
ToUInt32WithSign
(
value
,
out
_digits
[
0
]
,
out
_negative
)
;
}
}
/// <summary>
/// Creates new big integer from unsigned integer value.
/// </summary>
/// <param name="value">Unsigned integer value to create big integer from.</param>
[
CLSCompliant
(
false
)
]
public
IntX
(
uint
value
)
{
if
(
value
==
0
)
{
// Very specific fast processing for zero values
InitFromZero
(
)
;
}
else
{
// Prepare internal fields
_digits
=
new
uint
[
]
{
value
}
;
_length
=
1
;
}
}
/// <summary>
/// Creates new big integer from long value.
/// </summary>
/// <param name="value">Long value to create big integer from.</param>
public
IntX
(
long
value
)
{
if
(
value
==
0
)
{
// Very specific fast processing for zero values
InitFromZero
(
)
;
}
else
{
// Fill the only big integer digit
ulong
newValue
;
DigitHelper
.
ToUInt64WithSign
(
value
,
out
newValue
,
out
_negative
)
;
InitFromUlong
(
newValue
)
;
}
}
/// <summary>
/// Creates new big integer from unsigned long value.
/// </summary>
/// <param name="value">Unsigned long value to create big integer from.</param>
[
CLSCompliant
(
false
)
]
public
IntX
(
ulong
value
)
{
if
(
value
==
0
)
{
// Very specific fast processing for zero values
InitFromZero
(
)
;
}
else
{
InitFromUlong
(
value
)
;
}
}
/// <summary>
/// Creates new big integer from array of it's "digits".
/// Digit with lower index has less weight.
/// </summary>
/// <param name="digits">Array of <see cref="IntX" /> digits.</param>
/// <param name="negative">True if this number is negative.</param>
/// <exception cref="ArgumentNullException"><paramref name="digits" /> is a null reference.</exception>
[
CLSCompliant
(
false
)
]
public
IntX
(
uint
[
]
digits
,
bool
negative
)
{
// Exceptions
if
(
digits
==
null
)
{
throw
new
ArgumentNullException
(
"values"
)
;
}
InitFromDigits
(
digits
,
negative
,
DigitHelper
.
GetRealDigitsLength
(
digits
,
(
uint
)
digits
.
LongLength
)
)
;
}
/// <summary>
/// Creates new <see cref="IntX" /> from string.
/// </summary>
/// <param name="value">Number as string.</param>
public
IntX
(
string
value
)
{
IntX
intX
=
Parse
(
value
)
;
InitFromIntX
(
intX
)
;
}
/// <summary>
/// Creates new <see cref="IntX" /> from string.
/// </summary>
/// <param name="value">Number as string.</param>
/// <param name="numberBase">Number base.</param>
[
CLSCompliant
(
false
)
]
public
IntX
(
string
value
,
uint
numberBase
)
{
IntX
intX
=
Parse
(
value
,
numberBase
)
;
InitFromIntX
(
intX
)
;
}
/// <summary>
/// Copy constructor.
/// </summary>
/// <param name="value">Value to copy from.</param>
/// <exception cref="ArgumentNullException"><paramref name="value" /> is a null reference.</exception>
public
IntX
(
IntX
value
)
{
// Exceptions
if
(
value
==
null
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
InitFromIntX
(
value
)
;
}
/// <summary>
/// Creates new empty big integer with desired sign and length.
///
/// For internal use.
/// </summary>
/// <param name="length">Desired digits length.</param>
/// <param name="negative">Desired integer sign.</param>
internal
IntX
(
uint
length
,
bool
negative
)
{
_digits
=
new
uint
[
_length
=
length
]
;
_negative
=
negative
;
}
/// <summary>
/// Creates new big integer from array of it's "digits" but with given length.
/// Digit with lower index has less weight.
///
/// For internal use.
/// </summary>
/// <param name="digits">Array of <see cref="IntX" /> digits.</param>
/// <param name="negative">True if this number is negative.</param>
/// <param name="length">Length to use for internal digits array.</param>
/// <exception cref="ArgumentNullException"><paramref name="digits" /> is a null reference.</exception>
internal
IntX
(
uint
[
]
digits
,
bool
negative
,
uint
length
)
{
// Exceptions
if
(
digits
==
null
)
{
throw
new
ArgumentNullException
(
"values"
)
;
}
InitFromDigits
(
digits
,
negative
,
length
)
;
}
#endregion Constructors
#region Static public properties
/// <summary>
/// <see cref="IntX" /> global settings.
/// </summary>
static
public
IntXGlobalSettings
GlobalSettings
{
get
{
return
_globalSettings
;
}
}
#endregion Static public properties
#region Public properties
/// <summary>
/// <see cref="IntX" /> instance settings.
/// </summary>
public
IntXSettings
Settings
{
get
{
return
_settings
;
}
}
/// <summary>
/// Gets flag indicating if big integer is odd.
/// </summary>
public
bool
IsOdd
{
get
{
return
_length
>
0
&&
(
_digits
[
0
]
&
1
)
==
1
;
}
}
#endregion Public properties
#region Operators
#region operator==
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if their internal state is equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if equals.</returns>
static
public
bool
operator
==
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
false
)
==
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if their internal state is equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if equals.</returns>
static
public
bool
operator
==
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
==
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if their internal state is equal.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if equals.</returns>
static
public
bool
operator
==
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
==
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsinged integer and returns true if their internal state is equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsinged integer.</param>
/// <returns>True if equals.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
==
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
==
0
;
}
/// <summary>
/// Compares unsinged integer with <see cref="IntX" /> object and returns true if their internal state is equal.
/// </summary>
/// <param name="int1">First unsinged integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if equals.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
==
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
==
0
;
}
#endregion operator==
#region operator!=
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if their internal state is not equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if not equals.</returns>
static
public
bool
operator
!=
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
false
)
!=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if their internal state is not equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if not equals.</returns>
static
public
bool
operator
!=
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
!=
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if their internal state is not equal.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if not equals.</returns>
static
public
bool
operator
!=
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
!=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsigned integer and returns true if their internal state is not equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsigned integer.</param>
/// <returns>True if not equals.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
!=
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
!=
0
;
}
/// <summary>
/// Compares unsigned integer with <see cref="IntX" /> object and returns true if their internal state is not equal.
/// </summary>
/// <param name="int1">First unsigned integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if not equals.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
!=
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
!=
0
;
}
#endregion operator!=
#region operator>
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if first is greater.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater.</returns>
static
public
bool
operator
>
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
true
)
>
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if first is greater.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if first is greater.</returns>
static
public
bool
operator
>
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
>
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if first is greater.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater.</returns>
static
public
bool
operator
>
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
<
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsigned integer and returns true if first is greater.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsigned integer.</param>
/// <returns>True if first is greater.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
>
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
>
0
;
}
/// <summary>
/// Compares unsigned integer with <see cref="IntX" /> object and returns true if first is greater.
/// </summary>
/// <param name="int1">First unsigned integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
>
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
<
0
;
}
#endregion operator>
#region operator>=
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if first is greater or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater or equal.</returns>
static
public
bool
operator
>=
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
true
)
>=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if first is greater or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if first is greater or equal.</returns>
static
public
bool
operator
>=
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
>=
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if first is greater or equal.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater or equal.</returns>
static
public
bool
operator
>=
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
<=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsinged integer and returns true if first is greater or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsinged integer.</param>
/// <returns>True if first is greater or equal.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
>=
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
>=
0
;
}
/// <summary>
/// Compares unsinged integer with <see cref="IntX" /> object and returns true if first is greater or equal.
/// </summary>
/// <param name="int1">First unsinged integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is greater or equal.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
>=
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
<=
0
;
}
#endregion operator>=
#region operator<
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if first is lighter.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter.</returns>
static
public
bool
operator
<
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
true
)
<
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if first is lighter.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if first is lighter.</returns>
static
public
bool
operator
<
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
<
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if first is lighter.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter.</returns>
static
public
bool
operator
<
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
>
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsinged integer and returns true if first is lighter.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsinged integer.</param>
/// <returns>True if first is lighter.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
<
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
<
0
;
}
/// <summary>
/// Compares unsinged integer with <see cref="IntX" /> object and returns true if first is lighter.
/// </summary>
/// <param name="int1">First unsinged integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
<
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
>
0
;
}
#endregion operator<
#region operator<=
/// <summary>
/// Compares two <see cref="IntX" /> objects and returns true if first is lighter or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter or equal.</returns>
static
public
bool
operator
<=
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
,
true
)
<=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with integer and returns true if first is lighter or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second integer.</param>
/// <returns>True if first is lighter or equal.</returns>
static
public
bool
operator
<=
(
IntX
int1
,
int
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
<=
0
;
}
/// <summary>
/// Compares integer with <see cref="IntX" /> object and returns true if first is lighter or equal.
/// </summary>
/// <param name="int1">First integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter or equal.</returns>
static
public
bool
operator
<=
(
int
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
>=
0
;
}
/// <summary>
/// Compares <see cref="IntX" /> object with unsinged integer and returns true if first is lighter or equal.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second unsinged integer.</param>
/// <returns>True if first is lighter or equal.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
<=
(
IntX
int1
,
uint
int2
)
{
return
OpHelper
.
Cmp
(
int1
,
int2
)
<=
0
;
}
/// <summary>
/// Compares unsinged integer with <see cref="IntX" /> object and returns true if first is lighter or equal.
/// </summary>
/// <param name="int1">First unsinged integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>True if first is lighter or equal.</returns>
[
CLSCompliant
(
false
)
]
static
public
bool
operator
<=
(
uint
int1
,
IntX
int2
)
{
return
OpHelper
.
Cmp
(
int2
,
int1
)
>=
0
;
}
#endregion operator<=
#region operator+ and operator-
/// <summary>
/// Adds one <see cref="IntX" /> object to another.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Addition result.</returns>
static
public
IntX
operator
+
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
AddSub
(
int1
,
int2
,
false
)
;
}
/// <summary>
/// Subtracts one <see cref="IntX" /> object from another.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Subtraction result.</returns>
static
public
IntX
operator
-
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
AddSub
(
int1
,
int2
,
true
)
;
}
#endregion operator+ and operator-
#region operator*
/// <summary>
/// Multiplies one <see cref="IntX" /> object on another.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Multiply result.</returns>
static
public
IntX
operator
*
(
IntX
int1
,
IntX
int2
)
{
return
MultiplyManager
.
GetCurrentMultiplier
(
)
.
Multiply
(
int1
,
int2
)
;
}
#endregion operator*
#region operator/ and operator%
/// <summary>
/// Divides one <see cref="IntX" /> object by another.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Division result.</returns>
static
public
IntX
operator
/
(
IntX
int1
,
IntX
int2
)
{
IntX
modRes
;
return
DivideManager
.
GetCurrentDivider
(
)
.
DivMod
(
int1
,
int2
,
out
modRes
,
DivModResultFlags
.
Div
)
;
}
/// <summary>
/// Divides one <see cref="IntX" /> object by another and returns division modulo.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Modulo result.</returns>
static
public
IntX
operator
%
(
IntX
int1
,
IntX
int2
)
{
IntX
modRes
;
DivideManager
.
GetCurrentDivider
(
)
.
DivMod
(
int1
,
int2
,
out
modRes
,
DivModResultFlags
.
Mod
)
;
return
modRes
;
}
#endregion operator/ and operator%
#region operator<< and operator>>
/// <summary>
/// Shifts <see cref="IntX" /> object on selected bits count to the left.
/// </summary>
/// <param name="intX">Big integer.</param>
/// <param name="shift">Bits count.</param>
/// <returns>Shifting result.</returns>
static
public
IntX
operator
<<
(
IntX
intX
,
int
shift
)
{
return
OpHelper
.
Sh
(
intX
,
shift
,
true
)
;
}
/// <summary>
/// Shifts <see cref="IntX" /> object on selected bits count to the right.
/// </summary>
/// <param name="intX">Big integer.</param>
/// <param name="shift">Bits count.</param>
/// <returns>Shifting result.</returns>
static
public
IntX
operator
>>
(
IntX
intX
,
int
shift
)
{
return
OpHelper
.
Sh
(
intX
,
shift
,
false
)
;
}
#endregion operator<< and operator>>
#region +, -, ++, -- unary operators
/// <summary>
/// Returns the same <see cref="IntX" /> value.
/// </summary>
/// <param name="value">Initial value.</param>
/// <returns>The same value, but new object.</returns>
/// <exception cref="ArgumentNullException"><paramref name="value" /> is a null reference.</exception>
static
public
IntX
operator
+
(
IntX
value
)
{
// Exception
if
(
ReferenceEquals
(
value
,
null
)
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
return
new
IntX
(
value
)
;
}
/// <summary>
/// Returns the same <see cref="IntX" /> value, but with other sign.
/// </summary>
/// <param name="value">Initial value.</param>
/// <returns>The same value, but with other sign.</returns>
/// <exception cref="ArgumentNullException"><paramref name="value" /> is a null reference.</exception>
static
public
IntX
operator
-
(
IntX
value
)
{
// Exception
if
(
ReferenceEquals
(
value
,
null
)
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
IntX
newValue
=
new
IntX
(
value
)
;
if
(
newValue
.
_length
!=
0
)
{
newValue
.
_negative
=
!
newValue
.
_negative
;
}
return
newValue
;
}
/// <summary>
/// Returns increased <see cref="IntX" /> value.
/// </summary>
/// <param name="value">Initial value.</param>
/// <returns>Increased value.</returns>
/// <exception cref="ArgumentNullException"><paramref name="value" /> is a null reference.</exception>
static
public
IntX
operator
++
(
IntX
value
)
{
// Exception
if
(
ReferenceEquals
(
value
,
null
)
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
return
value
+
1U
;
}
/// <summary>
/// Returns decreased <see cref="IntX" /> value.
/// </summary>
/// <param name="value">Initial value.</param>
/// <returns>Decreased value.</returns>
/// <exception cref="ArgumentNullException"><paramref name="value" /> is a null reference.</exception>
static
public
IntX
operator
--
(
IntX
value
)
{
// Exception
if
(
ReferenceEquals
(
value
,
null
)
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
return
value
-
1U
;
}
#endregion +, -, ++, -- unary operators
#region Bitwise operations
/// <summary>
/// Performs bitwise OR for two big integers.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Resulting big integer.</returns>
static
public
IntX
operator
|
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
BitwiseOr
(
int1
,
int2
)
;
}
/// <summary>
/// Performs bitwise AND for two big integers.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Resulting big integer.</returns>
static
public
IntX
operator
&
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
BitwiseAnd
(
int1
,
int2
)
;
}
/// <summary>
/// Performs bitwise XOR for two big integers.
/// </summary>
/// <param name="int1">First big integer.</param>
/// <param name="int2">Second big integer.</param>
/// <returns>Resulting big integer.</returns>
static
public
IntX
operator
^
(
IntX
int1
,
IntX
int2
)
{
return
OpHelper
.
ExclusiveOr
(
int1
,
int2
)
;
}
/// <summary>
/// Performs bitwise NOT for big integer.
/// </summary>
/// <param name="value">Big integer.</param>
/// <returns>Resulting big integer.</returns>
static
public
IntX
operator
~
(
IntX
value
)
{
return
OpHelper
.
OnesComplement
(
value
)
;
}
#endregion Bitwise operations
#region Conversion operators
#region To IntX (Implicit)
/// <summary>
/// Implicitly converts <see cref="Int32" /> to <see cref="IntX" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
static
public
implicit
operator
IntX
(
int
value
)
{
return
new
IntX
(
value
)
;
}
/// <summary>
/// Implicitly converts <see cref="UInt32" /> to <see cref="IntX" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
implicit
operator
IntX
(
uint
value
)
{
return
new
IntX
(
value
)
;
}
/// <summary>
/// Implicitly converts <see cref="UInt16" /> to <see cref="IntX" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
implicit
operator
IntX
(
ushort
value
)
{
return
new
IntX
(
value
)
;
}
/// <summary>
/// Implicitly converts <see cref="Int64" /> to <see cref="IntX" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
static
public
implicit
operator
IntX
(
long
value
)
{
return
new
IntX
(
value
)
;
}
/// <summary>
/// Implicitly converts <see cref="UInt64" /> to <see cref="IntX" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
implicit
operator
IntX
(
ulong
value
)
{
return
new
IntX
(
value
)
;
}
#endregion To IntX (Implicit)
#region From IntX (Explicit)
/// <summary>
/// Explicitly converts <see cref="IntX" /> to <see cref="int" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
static
public
explicit
operator
int
(
IntX
value
)
{
int
res
=
(
int
)
(
uint
)
value
;
return
value
.
_negative
?
-
res
:
res
;
}
/// <summary>
/// Explicitly converts <see cref="IntX" /> to <see cref="uint" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
explicit
operator
uint
(
IntX
value
)
{
if
(
value
==
null
)
{
throw
new
ArgumentNullException
(
"value"
)
;
}
if
(
value
.
_length
==
0
)
return
0
;
return
value
.
_digits
[
0
]
;
}
/// <summary>
/// Explicitly converts <see cref="IntX" /> to <see cref="long" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
static
public
explicit
operator
long
(
IntX
value
)
{
long
res
=
(
long
)
(
ulong
)
value
;
return
value
.
_negative
?
-
res
:
res
;
}
/// <summary>
/// Explicitly converts <see cref="IntX" /> to <see cref="ulong" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
explicit
operator
ulong
(
IntX
value
)
{
ulong
res
=
(
uint
)
value
;
if
(
value
.
_length
>
1
)
{
res
|=
(
ulong
)
value
.
_digits
[
1
]
<<
Constants
.
DigitBitCount
;
}
return
res
;
}
/// <summary>
/// Explicitly converts <see cref="IntX" /> to <see cref="ushort" />.
/// </summary>
/// <param name="value">Value to convert.</param>
/// <returns>Conversion result.</returns>
[
CLSCompliant
(
false
)
]
static
public
explicit
operator
ushort
(
IntX
value
)
{
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