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
b.SetNan();
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.SetNan();
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;
a.FromInt(30);
a.SetOne();
a.FromBig(other_object_without_nan);
etc.
changed: renamed macro CONSTANTSGENERATOR to TTMATH_CONSTANTSGENERATOR
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@152 e52654a7-88a9-db11-a3e9-0013d4bc506e
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
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()
changed: names of methods in macros TTMATH_LOG()
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
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@148 e52654a7-88a9-db11-a3e9-0013d4bc506e
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 is undefined
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'
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@143 e52654a7-88a9-db11-a3e9-0013d4bc506e
changed: UInt::SubInt() in no-asm code is a little faster now
changed: small cosmetic changes in commentaries
deleted: some debug #ifdef's from UInt::Div() (in no-asm code)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@136 e52654a7-88a9-db11-a3e9-0013d4bc506e
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)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@125 e52654a7-88a9-db11-a3e9-0013d4bc506e
(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...' )
added: to 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: the parser checks itself for the operators for changing the base
(operators '#' and '&')
changed: in the parser: the form with operators '#' and '&' is as follows:
[-|+][#|&]numeric_value
previous was: [-|+][#|&][-|+]numeric_value
removed: Big::FromString() this method doesn't longer recognize operators
for changing the base ('#' and '&')
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
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@113 e52654a7-88a9-db11-a3e9-0013d4bc506e
to make division first and then mutliplication -- the result is more
accurate especially when x is: 90,180,270 or 360
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)
removed: Big::Ln() and Big::Log() some old info was removed
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@110 e52654a7-88a9-db11-a3e9-0013d4bc506e
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"
(the was 10e100000000 iterations in PowInt())
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@108 e52654a7-88a9-db11-a3e9-0013d4bc506e
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
sample:
Big<2,3> a = 100;
Big<3,5> b;
b = a; // b had a wrong value
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@106 e52654a7-88a9-db11-a3e9-0013d4bc506e
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
added: macro CONSTANTSGENERATOR which is useful for generating constants
(it's used by 'gen' program in 'constgen' directory)
after declaring this macro the methods: ExpSurrounding0() and LnSurrounding1() will be public visible
and the inner loop can do more iterations than TTMATH_ARITHMETIC_MAX_LOOP
changed: in methods: ExpSurrounding0() and LnSurrounding1() - the way of comparising with the last word
(now we're comparing not with the last state but with a state from a few words back)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@105 e52654a7-88a9-db11-a3e9-0013d4bc506e
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"
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)
added: UInt::GetBit(uint bit_index) - returning the state of the specific bit
changed: UInt::SetBit(uint bit_index) - it's using TTMATH_ASSERT now
changed: Big::Mod2() - it's using mantissa.GetBit() now
added: Big::operator=(double) and Big::Big(double)
added: TTMATH_ASSERT somewhere in ttmathuint64.h
added: UInt::Pow(UInt<value_size> pow) and Int::Pow(Int<value_size> pow)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@104 e52654a7-88a9-db11-a3e9-0013d4bc506e
the changes which were made in revision 60 and 63
(I forgot to change the info there)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@67 e52654a7-88a9-db11-a3e9-0013d4bc506e
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)
added: in Big::MulInt() checking whether the values are zeros
and if so the metdhod returns zero immediately
removed: file TODO (I didn't use it)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@66 e52654a7-88a9-db11-a3e9-0013d4bc506e
remove the -2 state
added: 'remove_trailing_zeroes' in Big::ToString()
it's either true or false
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@63 e52654a7-88a9-db11-a3e9-0013d4bc506e
for converting from another kind of a Big class
added: to the parser: avg(), sum()
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@56 e52654a7-88a9-db11-a3e9-0013d4bc506e
there was SetSign() used when the value was not
defined, and also was a small mistake when the mantissa
was equal one word (on 32bit platforms)
added: uint Big::ToDouble(double&) - converting into double
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@49 e52654a7-88a9-db11-a3e9-0013d4bc506e
Big::ChangeSign()
added: ASinh(), ACosh(), ATanh() /ATgh()/, ACoth() /ACtgh()/
and to the parser as well
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@35 e52654a7-88a9-db11-a3e9-0013d4bc506e
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
the TTMATH_BITS_PER_UINT
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
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@34 e52654a7-88a9-db11-a3e9-0013d4bc506e
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)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@33 e52654a7-88a9-db11-a3e9-0013d4bc506e
(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)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@32 e52654a7-88a9-db11-a3e9-0013d4bc506e
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)
added: macros: TTMATH_PLATFORM32 and TTMATH_PLATFORM64
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
fixed: constructor Big::Big(uint) - it was wrong because
it was using the method Big::FromInt(sint) which could produce wrong
values (if the 'uint' couldn't correctly be casted into the 'sint')
added: Big::FromUInt(uint)
changed: Big::FromInt(sint), Big::SetOne(), renamed Big::SetDotOne() into
Big::Set05()
(they are a little faster now)
added: Big::operator=(uint)
changed: in 64bit mode: constructor: Big::Big(int)
added: in 64bit mode: constructor: Big::Big(unsigned int),
operators: Big::operator=(signed int) and Big::operator=(unsigned int)
(these operators and the constructor take a 32bit value)
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)
changed: UInt::operator=(uint), UInt::UInt(uint), Int::operator=(sint), Int::Int(sint)
added: UInt::FromUInt(uint), UInt::operator=(sint), UInt::UInt(sint),
Int::FromInt(sint), Int::operator=(uint), Int::Int(uint),
Int::operator==(const Int<>&), Int::operator!=(const Int<>&)
added: in 64bit mode: UInt::operator=(unsigned int), UInt::UInt(unsigned int),
UInt::operator=(signed int), UInt::UInt(signed int)
(these operators and the constructors take a 32bit value)
added: in 64bit mode: Int::operator=(signed int), Int::Int(signed int),
Int::operator=(unsigned int), Int::Int(unsigned int)
(these operators and the constructors take a 32bit value)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@25 e52654a7-88a9-db11-a3e9-0013d4bc506e
added: Big::Sgn - the 'sign' from the value (-1,0,1)
added: global functions Mod and Sgn too
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@19 e52654a7-88a9-db11-a3e9-0013d4bc506e
fixed: bad sizes in tables in some 'Set...' methods in the Big class
fixed: Big::FromInt(Int<int_size> value) - the sign must be set at the end because SetSign
checks whether there is zero and depends on it sets the sign or not
(this was the stupid error which causes sometimes the errors 'overflow during printing')
fixed: Big::SetMin - the sign must be set at the and
changed: Big::Pow can use the reference now (the problem was actually with the Big::FromInt)
added: a namespace 'auxiliaryfunctions' (in ttmath.h)
added: ATan - arc tan, ACTan - arc ctan
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@17 e52654a7-88a9-db11-a3e9-0013d4bc506e
added: UInt::SetFromTable for 64bit code (now the support for 64bit
platforms seems to be completed)
added: asin - arc sin, acos - arc cos
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@16 e52654a7-88a9-db11-a3e9-0013d4bc506e
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
added UInt::SetBitInWord
UInt::Mul64 renamed to UInt::MulTwoWords
UInt::Div64 renamed to UInt::DivTwoWords
and more small changes in UInt type
start adding support for Amd64 (not finished yet) (added ttmathuint64.h)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@12 e52654a7-88a9-db11-a3e9-0013d4bc506e
changed kind of templates in ttmath.h (template<class ValueType> is now)
added TTMATH_RELEASE macro
added TTMATH_ prefix into macros
changed multiplication in UInt type (now we can use both algorithm in the same time)
added ExceptionInfo, ReferenceError and RuntimeError classes
now TTMATH_ASSERT throws another type of object
added TTMATH_REFERENCE_ASSERT (it is instead of MATHTT_THIS_ASSERT)
git-svn-id: svn://ttmath.org/publicrep/ttmath/trunk@3 e52654a7-88a9-db11-a3e9-0013d4bc506e
Tomasz Sowa