TTMath is a small library which allows one to perform arithmetic operations with big unsigned integer, big signed integer and big floating point numbers.
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Version 0.9.4_prerelease (....):
* fixed: cannot compile on MS Windows when compiling with GCC (Mingw) for 64 bit platform:
incorrect size of ttmath::uint and ::sint were used
they were 'long' but 'long' is a 32bit type on Windows
* fixed: a crash in Big::Add() (buffer overflow)
there was an offset calculated from Int type by using Abs() method and a carry was not checked
(if there is a carry we should not make addition -- the argument is too small)
this had no impact on calculated values because there was a crash (bus error) immediately
following program could crash (64bit):
typedef ttmath::Big<1, 8> MyBig;
ttmath::Parser<MyBig> parser;
parser.Parse("2^(2^63) + 1");
* fixed: similar problems were in methods Big::BitAnd() Big::BitOr() and Big::BitXor() (bitwise operations)
and they could return incorrect values
* fixed: in x86_64 asm code (*.asm for Win64) there was in some places esp register used,
there should be rsp used instead
this affects MS Windows users when they use the asm version (ttmathuint_x86_64_msvc.asm)
Version 0.9.3 (2012.11.28):
* fixed: in Big::FromDouble(double value) (only 32 bit version)
buffer overflow in referencing to UInt<2>
this was used when 'value' was in so called "unnormalized" state
(E=0 and F is nonzero)
it produced incorrect mantissa (on about 8th decimal digit up)
* added: Parser::InitCGamma()
initializing coefficients used when calculating the gamma (or factorial) function
this speed up the next calculations
you don't have to call this method explicitly
these coefficients will be calculated when needed
* added: option 'group_digits' to Conv struct
you can set how many digits should be grouped
* changed: small optimizations in UInt::ToString() and Big::FromString()
Version 0.9.2 (2010.09.23):
* fixed: Big::Add() sometimes incorrectly rounded the last bit from its mantissa
* fixed: Big::BigAnd() Big::BigOr() Big::BigXor() should have set NaN
when the argument was negative (they only returned 2)
* fixed: recurrence calling in Big::FromString(const std::string &, uint, const wchar_t **, bool *)
it should have the signature: Big::FromString(const std::string &, uint, const char **, bool *)
* fixed: Big::ToString method
in some cases when in the output string the exponent should be equal zero
the method changes the exponent to one so the last digit from the mantissa
was lost
* fixed: Big::ToDouble(double &) set always +INF (infinity)
when the value was too large (even for negative values)
(it should set -INF in such a case)
* added: some missing operators
UInt::operator~() /* bitwise neg */
UInt::operator&() /* bitwise and */
UInt::operator|() /* bitwise or */
UInt::operator^() /* bitwise xor */
for Big<> we do not define bitwise neg
* added: macro TTMATH_DONT_USE_WCHAR
if defined then the library does not use wide characters
(wchar_t, std::wstring, ...) this is a workaround for some compilers
* added: bool UInt::IsOnlyTheHighestBitSet()
bool UInt::IsOnlyTheLowestBitSet()
returning true if only the highest/lowest bit is set
* added: uint Int::MulInt(sint ss2)
* added: void UInt::Swap(UInt<value_size> & ss2)
void Big::Swap(UInt<value_size> & ss2)
method for swapping this for an argument
when defined the default constructor from Big<> clears its mantissa and exponent
Big<1, 2> var;
var.mantissa and var.exponent will be set to zero
(but var has the NaN flag set too - it is not zero value, this is mainly for debug purposes)
* added: only on 32bit platforms:
uint UInt::FromUInt(uint64_t n)
uint Int::FromInt(int64_t n)
void Big::FromUInt(uint64_t n)
void Big::FromInt(int64_t n)
and appropriate constructors and operators
* added: TTMATH_FORCEASM macro
asm version of the library is available by default only for:
x86 and amd64 platforms and for Microsoft Visual and GCC compilers,
but you can force using asm version (the same asm as for Microsoft Visual)
by defining TTMATH_FORCEASM macro
you have to be sure that your compiler accept such an asm format
* added: some missing methods for converting
for UInt<>, Int<> and Big<> classes:
uint ToUInt()
sint ToInt()
ToUInt(uint32_t &)
ToInt(uint32_t &)
ToInt(int32_t &)
ToUInt(uint64_t &)
ToInt(uint64_t &)
ToInt(int64_t &)
FromUInt(uint32_t &)
FromInt(uint32_t &)
FromInt(int32_t &)
FromUInt(uint64_t &)
FromInt(uint64_t &)
FromInt(int64_t &)
and appropriate constructors and operators
* added: double Big::ToDouble() /there was only Big::ToDouble(double &) /
uint Big::ToFloat(float &)
float Big::ToFloat()
* changed: now asm version is available only on x86 and amd64
(and only for GCC and MS VC compilers)
* removed: macro TTMATH_RELEASE (now the 'release' version is default)
for debug version define TTMATH_DEBUG macro
TTMATH_DEBUG is also automatically defined when DEBUG or _DEBUG is set
* removed: macro TTMATH_REFERENCE_ASSERT from all methods in public interface
Version 0.9.1 (2010.02.07):
* fixed: the parser didn't use characters for changing the base (# and &)
those characters were skipped
(this bug was introduced in 0.9.0)
* fixed: added in the parser: operator's associativity
operator ^ (powering) is right-associative:
sample: 2^3^4 is equal 2^(3^4) and it is: 2.41e+24
previously was: 2^3^4 = (2^3)^4 = 4096
* fixed: in Big::ToString_CreateNewMantissaAndExponent() changed the formula:
new_exp_ = [log base (2^exponent)] + 1
now the part '+ 1' is only made when the logarithm is positive and with fraction
if the value is negative we can only skip the fraction, previously
we lost some last digits from the new mantissa
Consider this binary value (32 bit mantissa):
previously ToString() gave 1, now we have: 1.000000001
* changed: in Big::ToString() the base rounding is made only if the result value
would not be an integer, e.g. if the value is 1.999999999999 then
the base rounding will not be done - because as the result would be 2
* added: IEEE 754 half-to-even rounding (bankers' rounding) to the following
floating point algorithms: Big::Add, Big::Sub, Big::Mul, Big::Div
* added: static sint UInt<value_size>::FindLowestBitInWord(uint x)
this method is looking for the lowest set bit in a word
* added: UInt::FindLowestBit(uint & table_id, uint & index)
this method is looking for the lowest set bit
Version 0.9.0 (2009.11.25):
* added: support for wide characters (wchar_t, std::wstring)
* added: Big::IsInteger()
returns true if the value is integer (without fraction)
(NaN flag is not checked)
* added: global Gamma() function
* added: gamma() function to the parser
* added: CGamma<ValueType> class
is used with Gamma() and Factorial() in multithreaded environment
* added: multithread support for Big<> class
you should compile with TTMATH_MULTITHREADS
and use TTMATH_MULTITHREADS_HELPER macro somewhere in your *.cpp file
* added: x86_64 asm code for Microsoft Visual compiler
file: ttmathuint_x86_64_msvc.asm
(this file should be compiled first because MS VC doesn't support inline assembler in x86_64 mode)
* added: flag TTMATH_BIG_ZERO to Big<> class
if this flag is set then there is a value zero
Big::IsZero() is faster now
* added: Big::ClearInfoBit(unsigned char)
Big::SetInfoBit(unsigned char)
Big::IsInfoBit(unsigned char)
some methods for manipulating the info flags
* added: macro: TTMATH_BITS(min_bits)
which returns the number of machine words
capable to hold min_bits bits
* added: bool Parser::Calculated()
this method returns true is something was calculated
(at least one mathematical operator was used or a function or variable)
* added: to the parser: operator percentage
e.g. 1000-50%=1000-(1000*0,5)=500
* added: struct: Conv
consists of some parameters used
in ToString() and FromString()
* added: Big::ToString() can group digits
e.g. 1234567 -> 1`234`567
* added: Parser::SetGroup(int g)
Parser::SetComma(int c, int c2 = 0)
Parser::SetParamSep(int s)
* added: std::string UInt::ToString(uint b = 10)
std::wstring UInt::ToWString(uint b = 10)
std::string Int::ToString(uint b = 10)
std::wstring Int::ToWString(uint b = 10)
uint Big::ToString(std::string & result, const Conv & conv)
uint Big::ToString(std::wstring & result, const Conv & conv)
std::string Big::ToString(const Conv & conv)
std::string Big::ToString()
std::wstring Big::ToWString(const Conv & conv)
std::wstring Big::ToWString()
* added: uint FromString(const char * source, const Conv & conv, const char **, bool *)
uint FromString(const wchar_t * source, const Conv & conv, const wchar_t **, bool *)
uint FromString(const std::string & string, const Conv & conv, const wchar_t **, bool *)
uint FromString(const std::wstring & string, const Conv & conv, const wchar_t **, bool *)
* added: UInt::Sqrt() - a new algorithm for calculating the square root
* added: to the parser: function frac() - returns a value without the integer part
(only fraction remains)
* added: Int::DivInt(sint divisor, sint * remainder)
* added: const char * UInt::LibTypeStr()
const char * Big::LibTypeStr()
LibTypeCode UInt::LibType()
LibTypeCode Big::LibType()
returning a string/enum represents the currect type of the library
we have following types:
asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
asm_gcc_32 - with asm code designed for GCC (32 bits)
asm_vc_64 - with asm for VC (64 bit)
asm_gcc_64 - with asm for GCC (64 bit)
no_asm_32 - pure C++ version (32 bit) - without any asm code
no_asm_64 - pure C++ version (64 bit) - without any asm code
* added: UInt::operator>>(int)
* changed: Factorial() is using the Gamma() function now
* changed: Big::Div(ss2)
they return 2 when ss2 is zero
previously returned 1
* changed: algorithms in Big::Sqrt() and ttmath::Root(x ; n)
they were not too much accurate for some integers
e.g. Root(16;4) returned a value very closed to 2 (not exactly 2)
* changed: added specializations to Big::ToString() when the base is equal 4, 8 or 16
the previous version was not accurate on some last digits (after the comma operator)
consider this binary value (32 bit mantissa):
base 2: 1.1111 1111 1111 1111 1111 1111 1110 101
previous ToString() gave:
base 4: 1.33333333333332
base 8: 1.777777777
base 16: 1.FFFFFF
now we have:
base 4: 1.3333333333333222
base 8: 1.77777777724
base 16: 1.FFFFFFEA
* changed: in Big::ToString() some additional rounding (base_round) is now made only
when the value is not an integer
* changed: another compilers than MS VC or GCC by default use no asm version (TTMATH_NOASM)
* removed: Parser<>::SetFactorialMax() method
the factorial() is such a fast now that we don't need the method longer
* removed: ErrorCode::err_too_big_factorial
the comma characters we have in Conv struct now
Version 0.8.6 (2009.10.25):
* fixed: UInt::SetBitInWord(uint & value, uint bit) set 1 if the bit was
equal 1 (should be set 2)
this affected only no-asm parts - when macro TTMATH_NOASM was defined
* fixed: UInt<value_size>::MulInt(uint ss2)
there was a buffer overflow when value_size was equal 1
* fixed: UInt::AddVector() and UInt::SubVector() didn't want to compile
when macro TTMATH_NOASM was defined
* fixed: Big::operator>> didn't correctly recognize values in scientific mode (with 'e' character)
* fixed: Int::FromString(const tt_string & s, uint b = 10)
didn't use 'b' (always was '10')
* fixed: buffer overflow in Big::ToInt(Int<int_size> & result)
* fixed: powering algorithm in:
UInt::Pow(UInt<value_size> pow)
Big::Pow(UInt<pow_size> pow)
Big::PowUInt(Big<exp, man> pow)
when 'pow' was sufficient large the algorithm returned carry
but the result could have been calculated correctly
Version 0.8.5 (2009.06.16):
* fixed: Big::Mod(x) didn't correctly return a carry
and the result was sometimes very big (even greater than x)
* fixed: global function Mod(x) didn't set an ErrorCode object
* fixed: global function Round() didn't test a carry
now it sets ErrorCode object
* changed: function Sin(x) to Sin(x, ErrorCode * err=0)
when x was very big the function returns zero
now it sets ErrorCode object to err_overflow
and the result has a NaN flag set
the same is to Cos() function
* changed: PrepareSin(x) is using Big::Mod() now when reducing 2PI period
should be a little accurate especially on a very big 'x'
* changed: uint Mul(const UInt<value_size> & ss2, uint algorithm = 100)
void MulBig(const UInt<value_size> & ss2, UInt<value_size*2> & result, uint algorithm = 100)
those methods by default use MulFastest() and MulFastestBig()
* changed: changed a little Mul2Big() to cooperate with Mul3Big()
* added: uint UInt::Mul3(const UInt<value_size> & ss2)
void UInt::Mul3Big(const UInt<value_size> & ss2, UInt<value_size*2> & result)
a new multiplication algorithm: Karatsuba multiplication,
on a vector UInt<100> with all items different from zero this algorithm is faster
about 3 times than Mul2Big(), and on a vector UInt<1000> with all items different from
zero this algorithm is faster more than 5 times than Mul2Big()
(measured on 32bit platform with GCC 4.3.3 with -O3 and -DTTMATH_RELEASE)
* added: uint MulFastest(const UInt<value_size> & ss2)
void MulFastestBig(const UInt<value_size> & ss2, UInt<value_size*2> & result)
those methods are trying to select the fastest multiplication algorithm
* added: uint AddVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
uint SubVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
three forms: asm x86, asm x86_64, no-asm
those methods are used by the Karatsuba multiplication algorithm
* added: to Big<> class: support for NaN flag (Not a Number)
bool Big::IsNan() - returns true if the NaN flag is set
void Big::SetNan() - sets the NaN flag
The NaN flag is set by default after creating an object:
Big<1, 2> a; // NaN is set (it means the object has not a valid number)
std::cout << a; // cout gives "NaN"
a = 123; // now NaN is not set
std::cout << a; // cout gives "123"
The NaN is set if there was a carry during calculations
a.Mul(very_big_value); // a will have a NaN set
The NaN is set if an argument is NaN too
a.Add(b); // a will have NaN because b has NaN too
If you try to do something on a NaN object, the result is a NaN too
a.Add(2); // a is still a NaN
The NaN is set if you use incorrect arguments
a.Ln(-10); // a will have the NaN flag
The only way to clear the NaN flag is to assign a correct value or other correct object,
supposing 'a' has NaN flag, to remove the flag you can either:
a = 10;
Version 0.8.4 (2009.05.08):
* fixed: UInt::DivInt() didn't check whether the divisor is zero
there was a hardware interruption when the divisor was zero
(now the method returns one)
* fixed: the problem with GCC optimization on x86_64
sometimes when using -O2 or -O3 GCC doesn't set correctly
the stack pointer (actually the stack is used for other things)
and you can't use instructions like push/pop in assembler code.
All the asm code in x86_64 have been rewritten, now instructions
push/pop are not used, other thing which have access to stack
(like "m" (mask) constraints in Rcl2 and Rcr2) have also gone away,
now the library works well with -O2 and -O3 and the asm code
is a little faster
* added: UInt::PrintLog(const char * msg, std::ostream & output)
used (for debugging purposes) by macro TTMATH_LOG(msg)
(it is used in nearly all methods in UInt class)
* added: macro TTMATH_DEBUG_LOG: when defined then TTMATH_LOG()
put some debug information (to std::cout)
* added: ttmathuint_x86.h, ttmathuint_x86_64.h, ttmathuint_noasm.h,
all the methods which are using assembler code have been
rewritten to no-asm forms, now we have:
1. asm for x86 file: ttmathuint_x86.h
2. asm for x86_64 file: ttmathuint_x86_64.h
3. no asm file: ttmathuint_noasm.h
(it's used when macro TTMATH_NOASM is defined)
The third form can be used on x86 and x86_64 as well and
on other platforms with a little effort.
Version 0.8.3 (2009.04.06):
* fixed: RclMoveAllWords() and RcrMoveAllWords() sometimes didn't return
the proper carry, (when 'bits' was greater than or equal to 'value_size')
this had impact on Rcl() and Rcr(), they also returned the wrong carry
* fixed: UInt::Div() didn't return a correct result when the divisor was equal 1
there was an error in UInt::DivInt() - when the divisor was 1 it returned
zero and the carry was set
* fixed: there was a TTMATH_REREFENCE_ASSERT error in Big::PowUInt() caused by: start.Mul(start)
* fixed: Big::Add incorrectly rounded 'this' when both exponents were equal
it caused that sometimes when adding a zero the result has changed
this had impact among other things on FromString() method
"0,8" had different binary representation from "0,80"
* fixed: template Big::FromBig(const Big<another_exp, another_man> & another)
didn't correctly set the exponent (when the mantisses had different size -
when 'man' was different from 'another_man')
this had impact on operator= too
Big<2,3> a = 100;
Big<3,5> b;
b = a; // b had a wrong value
* fixed: Big::Pow(const Big<exp, man> & pow)
it's using PowInt() only when pow.exponent is in range (-man*TTMATH_BITS_PER_UINT; 0]
previously the powering 'hung' on an input like this: "(1+ 1e-10000) ^ 10e100000000"
(there was 10e100000000 iterations in PowInt())
* fixed: in function DegToRad(const ValueType & x, ErrorCode * err = 0) it is better
to make division first and then mutliplication -- the result is more
accurate especially when x is: 90,180,270 or 360
* fixed: the parser didn't correctly treat operators for changing the base
(radix) -- operators '#' and '&', e.g.:
'#sin(1)' was equal '0' -- there was a zero from '#' and then
it was multipied by 'sin(1)'
the parser didn't check whether Big::FromString() has actually
read a proper value -- the method Big::FromString() didn't have
something to report such a situation
* fixed: Big::FromString() when the base is 10, the method reads the scientific
part only if such a part it correctly supplied, e.g:
'1234e10', '1234e+10', '1234e-5'
previous '1234e' was treated as: '1234e0' (now parsing stops on 'e' and
the 'e' can be parsed by other parsers, e.g. the mathematical
parser -- now in the parser would be: '1234e' = '1234 * e' = '3354,3597...' )
* changed: renamed: Big::PowUInt(UInt<pow_size> pow) -> Big::Pow(UInt<pow_size> pow)
it returns 2 when there is: 0^0
* changed: renamed: Big::PowInt(Int<pow_size> pow) -> Big::Pow(Int<pow_size> pow)
it returns 2 when there is: 0^0 or 0^(-something)
* changed: renamed: Big::PowBUInt() -> PowUInt(), Big::PowBInt() -> Big::PowInt()
they return 2 when the arguments are incorrect (like above)
* changed: UInt::SetBitInWord(uint & value, uint bit) is taking the first argument by a reference now,
the specific bit is set in the 'value' and the method returns the last state of the bit (zero or one)
* changed: UInt::SetBit(uint bit_index) - it's using TTMATH_ASSERT now
* changed: the size of built-in variables (constants) in ttmathbig.h
now they consist of 256 32bit words
macro TTMATH_BUILTIN_VARIABLES_SIZE is equal: 256u on a 32bit platform and 128ul on a 64bit platform
* changed: the asm code in ttmathuint.h and ttmathuint64.h has been completely rewritten
now UInt<> is faster about 15-30% than UInt<> from 0.8.2
this has impact on Big<> too - it's faster about 10% now
* changed: in the parser: the form with operators '#' and '&' is as follows:
previous was: [-|+][#|&][-|+]numeric_value
* changed: in the parser: the short form of multiplication has the same
priority as the normal multiplication, e.g.:
'2x^3' = 2 * (x^3)
previous the priority was greater than powering priority
previous: '2x^3' = (2*x) ^ 3
* added: UInt::GetBit(uint bit_index) - returning the state of the specific bit
* added: Big::operator=(double) and Big::Big(double)
* added: UInt::Pow(UInt<value_size> pow) and Int::Pow(Int<value_size> pow)
* added: global template functions in ttmath.h:
ValueType GradToRad(const ValueType & x, ErrorCode * err = 0)
ValueType RadToGrad(const ValueType & x, ErrorCode * err = 0)
ValueType DegToGrad(const ValueType & x, ErrorCode * err = 0)
ValueType DegToGrad(const ValueType & d, const ValueType & m,
const ValueType & s, ErrorCode * err = 0)
ValueType GradToDeg(const ValueType & x, ErrorCode * err = 0)
* added: Parser::SetDegRadGrad(int angle) - 0 deg, 1 rad (default), 2 grad
this affects following functions (in the parser only): sin, cos, tan, cot,
asin, acos, atan, acot
* added: functions to the parser: gradtorad(grad), radtograd(rad), degtograd(deg),
degtograd(d,m,s), gradtodeg(grad)
* added: UInt::FromString, added a parametr 'after_source'
which is pointing at the end of the parsed string
* added: Int::FromString(): parameter 'const char ** after_source = 0'
if exists it's pointing at the end of the parsed string
* added: to UInt::FromString(), Int::FromString(), Big::FromString():
parameter 'bool * value_read = 0' - (if exists) tells
whether something has actually been read (at least one digit)
* added: Objects::IsDefined(const std::string & name)
returning true if such an object is defined
* removed: Big::FromString() this method doesn't longer recognize operators
for changing the base ('#' and '&')
Version 0.8.2 (2008.06.18):
* added: UInt::BitNot2() this method has been proposed by
Arek <kmicicc AnTispam>
* changed: Int::FromInt(const Int<argument_size> & p),
Int::FromInt(sint value) (it returns zero now)
Int::operator=(uint i)
Int::Int(uint i)
* added: Int::FromUInt(const UInt<argument_size> & p),
Int::FromUInt(uint value)
and appropriate constructors and assignment
operators as well
* changed: Big::FromInt(Int<int_size> value),
* added: Big::FromUInt(UInt<int_size> value),
Big::operator=(const UInt<int_size> & value)
Big::Big(const UInt<int_size> & value)
* changed: the parser is allowed to recognize values which
begin with a dot, e.g '.5' is treated as '0.5'
* added: a method Big::FromDouble(double) which converts from
standard double into a Big
* added: uint Big::ToDouble(double&) - converting into double
* added: Big::FromBig() and an operator= and a contructor
for converting from another kind of a Big class
* added: to the parser: avg(), sum()
* added: 'decimal_point' parameter into Big::ToString(...)
* fixed: Big::operator>> didn't use TTMATH_COMMA_CHARACTER_2 macro
* added: a short form of multiplication (without the '*' character)
e.g. '5y', (it's used only if the second parameter
is a variable or function)
* changed: variables and functions are case-sensitive now
* added: variables and functions can have underline characters
in their names
* changed: 'max_digit_after_comma' in Big::ToString()
remove the -2 state
* added: 'remove_trailing_zeroes' in Big::ToString()
it's either true or false
* fixed/changed: the way of using Big::SetSign()
the method do not check whether there is a zero or not now
(even if there's a zero the method can set a sign bit)
I changed this due to some prior errors
(errors corrected in revision 17, 49 and 58)
Version 0.8.1 (2007.04.17):
* fixed: Big::PowFrac(..) didn't return a correct error code
(when 'this' was negative)
* added: Root(x; index) (and to the parser as well)
* added: macro: TTMATH_PRERELEASE_VER (can be either zero or one)
* added: UInt::MulInt(int, UInt<int another_size>::&)
* added: Big::MulUInt(uint)
* changed: Big::MulInt(sint)
* added: Big::ToUInt(uint &)
* changed: Big::ToInt(sint&)
* changed: Factorial() it uses Big::MulUInt() at the beginning
(faster now especially more on a 32bit platform)
* added: doxygen.cfg for generating a documentation from the doxygen
* changed: UInt::Rcl(uint c=0) and UInt::Rcr(uint c=0) into
UInt::Rcl2(uint bits, uint c) and UInt::Rcr2(uint bits, uint c)
now they can move more than one bit and they are only private
* fixed: UInt::Rcl(uint bits, uint c) and UInt::Rcr(uint bits, uint c)
didn't correctly return a carry if the 'bits' were equal
to 'value_size*TTMATH_BITS_PER_UINT'
* changed: UInt::Rcl(uint bits, uint c) and UInt::Rcr(uint bits, uint c)
into UInt::Rcl(uint bits, uint c=0) and
UInt::Rcr(uint bits, uint c=0)
they are faster now when the bits is greater than a half of
* changed: UInt::CompensationToLeft() it's faster now
* changed: more small changes where there were UInt::Rcl(uint c=0) and
UInt::Rcr(uint c=0) used
* changed: as the Big type uses UInt::Rcl() and UInt::Rcr() a lot then
it is much faster now (about 5-25%)
* added: ASinh(), ACosh(), ATanh() /ATgh()/, ACoth() /ACtgh()/
and to the parser as well
* added: UInt::BitAnd(), UInt::BitOr(), UInt::BitXor(), UInt::BitNot(),
Big::BitAnd(), Big::BitOr(), Big::BitXor()
* added: to the parser: bitand(), bitor(), bitxor()
/band(), bor(), bxor()/
* changed: the way of parsing operators in the mathematical parser
(the parser is not too much greedy now)
Version 0.8.0 (2007.03.28):
* added: into the parser: SetFactorialMax()
* added: DegToDeg(deg, min, sec), DegToRad(deg), DegToRad(deg, min, sec),
RadToDeg(rad), Ceil(x), Floor(x), Sqrt(x), Sinh(x), Cosh(x),
Tanh(x) /Tgh(x)/, Coth(x) /Ctgh(x)/
* changed: class Objects in ttmathobjects.h has been completely rewritten,
we can change the names of user-defined variables or functions,
and the names are case-sensitive now
* added: class History which is used in functions which take a lot of time
during calculating e.g. Factorial(x)
* added: Tg(x) a wrapper for Tan(x)
* changed: CTan(x) is Cot(x) now
* added: Ctg(x) a wrapper for Cot(x)
* added: ATg(x) a wrapper for ATan(x)
* changed: ACTan(x) is ACot(x) now
* added: ACtg(x) a wrapper for ACot(x)
* added: UInt::PrintTable() (for debugging etc.)
* changed: the methods Big::SetPi() Big::SetE() and Big::SetLn2() have
been rewritten, now they have 128 32bit words (it's about
1232 valid decimal digits)
* fixed: previous values from Big::SetPi() Big::SetE() and
Big::SetLn2() were not too much accurate (last 2-3 words were wrong)
* added: Big::SetLn10() (128 32bit words as well)
* added: macro TTMATH_BUILTIN_VARIABLES_SIZE which is equal 128u on
32bit platforms and 64ul on 64bit platforms (128/2=64)
* changed: a small optimisation in UInt::Mul2Big()
* added: at the end of ttmath.h: #include "ttmathparser.h"
this is for convenience for a programmer, he can only use #include
with ttmath.h even if he uses the parser
* added: to samples: big.cpp, parser.cpp
* added/changes/fixed: in copy-constructors and operators= in Int,
Uint and Big (more info in the commit log)
* renamed: Big::SetDotOne() into Big::Set05()
* changes: a few small optimisations in Big
* deleted: the word 'virtual' from destructors: UInt, Int, Big
(types in this library are not projected to be base-classes for
another ones derived from them)
* and more small changes (look at the commit log)
Version 0.7.2 (2007.03.09):
* added: Big::Mod - the remainder from a division
* added: Big::Sgn - the 'sign' from the value (-1,0,1)
* added: global functions Mod and Sgn too
* added: checking whether a user gives a correct value of a variable or function
(user-defined variables/functions in the mathematical parser)
* added: into the parser: logical operators: > < >= <= == != && ||
* added: into the parser: logical functions: and() or() not() if()
* added: ErrorCode::err_unknown_operator when the parser couldn't read an operator
Version 0.7.1 (2007.02.27):
* fixed: the error 'overflow during printing' which was caused
by Big::FromInt(Int<int_size> value) (the sign has to be set at the end)
* fixed: many small errors
* added: ATan (arctan), ACTan (arc ctan) functions
Version 0.7.0 (2007.02.24):
* finished: support for 64bit platforms
* added: ASin (arcsin), ACos (arccos) functions
Version 0.6.4 (2007.01.29):
* fixed: the problem with a sign in the mathematical parser /-(1) was 1/
* added: UInt::AddInt and UInt::SubInt
* changed: UInt::AddOne and UInt::SubOne (much faster now)
* added: UInt::SetBitInWord
* changed: UInt::SetBit (much faster now)
UInt::AddTwoUints renamed to UInt::AddTwoInts
UInt::FindLeadingBit32 renamed to UInt::FindLeadingBitInWord
UInt::Mul64 renamed to UInt::MulTwoWords
UInt::Div64 renamed to UInt::DivTwoWords
* added: UInt::SetBitInWord
* and more small changes in UInt type
* start adding support for Amd64 (not finished yet) (added ttmathuint64.h)
Version 0.6.3 (2007.01.22):
* changed: position of arguments (x and base) in logarithm functions are swapped
* changed: it's possible to use any multiplication algorithms in the same time
(macros UINT_MUL_VERSION_'X' have gone)
* added: ExceptionInfo, ReferenceError and RuntimeError classes
* changed: the mess in macros has been cleaned up
* added: TTMATH_RELEASE macro
Version 0.6.2 (2007.01.10):
* added: New division algorithm (radix b) where b is 2^32