2007-01-21 21:02:44 +01:00
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/*
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2009-03-12 21:54:46 +01:00
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* This file is a part of TTMath Bignum Library
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2007-01-21 21:02:44 +01:00
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* and is distributed under the (new) BSD licence.
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* Author: Tomasz Sowa <t.sowa@slimaczek.pl>
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*/
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/*
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2009-03-12 21:54:46 +01:00
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* Copyright (c) 2006-2009, Tomasz Sowa
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2007-01-21 21:02:44 +01:00
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* * Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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*
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* * Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* * Neither the name Tomasz Sowa nor the names of contributors to this
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* project may be used to endorse or promote products derived
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* from this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
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* THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef headerfilettmathmathtt
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#define headerfilettmathmathtt
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/*!
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\file ttmath.h
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\brief Mathematics functions.
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*/
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2009-06-11 04:31:41 +02:00
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#ifdef _MSC_VER
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//warning C4127: conditional expression is constant
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#pragma warning( disable: 4127 )
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#endif
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2007-01-21 21:02:44 +01:00
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#include "ttmathbig.h"
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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)
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
2007-03-29 00:27:57 +02:00
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#include "ttmathobjects.h"
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2007-01-21 21:02:44 +01:00
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#include <string>
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namespace ttmath
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{
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2009-05-01 16:53:21 +02:00
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/*
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*
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* functions defined here are used only with Big<> types
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*
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*
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*/
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2007-01-21 21:02:44 +01:00
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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)
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
2007-03-29 00:27:57 +02:00
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/*
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*
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* functions for rounding
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*
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*
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*/
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2007-01-21 21:02:44 +01:00
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/*!
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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)
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
2007-03-29 00:27:57 +02:00
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this method skips the fraction from x
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e.g 2.2 = 2
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2.7 = 2
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-2.2 = 2
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-2.7 = 2
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2007-01-21 21:02:44 +01:00
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*/
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2007-01-22 21:25:45 +01:00
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template<class ValueType>
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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)
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
2007-03-29 00:27:57 +02:00
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ValueType SkipFraction(const ValueType & x)
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2007-01-21 21:02:44 +01:00
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{
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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)
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
2007-03-29 00:27:57 +02:00
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ValueType result( x );
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result.SkipFraction();
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2007-01-21 21:02:44 +01:00
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return result;
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}
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/*!
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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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this method rounds to the nearest integer value
|
|
|
|
e.g 2.2 = 2
|
|
|
|
2.7 = 3
|
|
|
|
-2.2 = -2
|
|
|
|
-2.7 = -3
|
2007-01-21 21:02:44 +01:00
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType Round(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-01-22 21:25:45 +01:00
|
|
|
ValueType result( x );
|
2009-05-11 03:50:00 +02:00
|
|
|
uint c = result.Round();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2007-02-28 18:52:53 +01:00
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function returns a value representing the smallest integer
|
|
|
|
that is greater than or equal to x
|
|
|
|
|
|
|
|
Ceil(-3.7) = -3
|
|
|
|
Ceil(-3.1) = -3
|
|
|
|
Ceil(-3.0) = -3
|
|
|
|
Ceil(4.0) = 4
|
|
|
|
Ceil(4.2) = 5
|
|
|
|
Ceil(4.8) = 5
|
2007-02-28 18:52:53 +01:00
|
|
|
*/
|
|
|
|
template<class ValueType>
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType Ceil(const ValueType & x, ErrorCode * err = 0)
|
2007-02-28 18:52:53 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType result(x);
|
|
|
|
uint c = 0;
|
2007-02-28 18:52:53 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
result.SkipFraction();
|
2007-02-28 18:52:53 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( result != x )
|
|
|
|
{
|
|
|
|
// x is with fraction
|
|
|
|
// if x is negative we don't have to do anything
|
|
|
|
if( !x.IsSign() )
|
|
|
|
{
|
|
|
|
ValueType one;
|
|
|
|
one.SetOne();
|
2007-02-28 18:52:53 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
c += result.Add(one);
|
|
|
|
}
|
|
|
|
}
|
2007-02-28 18:52:53 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
2007-02-28 18:52:53 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
return result;
|
2007-02-28 18:52:53 +01:00
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function returns a value representing the largest integer
|
|
|
|
that is less than or equal to x
|
|
|
|
|
|
|
|
Floor(-3.6) = -4
|
|
|
|
Floor(-3.1) = -4
|
|
|
|
Floor(-3) = -3
|
|
|
|
Floor(2) = 2
|
|
|
|
Floor(2.3) = 2
|
|
|
|
Floor(2.8) = 2
|
2007-01-21 21:02:44 +01:00
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType Floor(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType result(x);
|
|
|
|
uint c = 0;
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
result.SkipFraction();
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( result != x )
|
|
|
|
{
|
|
|
|
// x is with fraction
|
|
|
|
// if x is positive we don't have to do anything
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
ValueType one;
|
|
|
|
one.SetOne();
|
2007-01-21 21:02:44 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
c += result.Sub(one);
|
|
|
|
}
|
|
|
|
}
|
2007-01-21 21:02:44 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
return result;
|
2007-01-21 21:02:44 +01:00
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
*
|
|
|
|
* logarithms and the exponent
|
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
/*!
|
|
|
|
this method calculates the natural logarithm (logarithm with the base 'e')
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
|
|
|
ValueType Ln(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
|
|
|
ValueType result;
|
2007-01-21 21:02:44 +01:00
|
|
|
uint state = result.Ln(x);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
{
|
|
|
|
switch( state )
|
|
|
|
{
|
|
|
|
case 0:
|
|
|
|
*err = err_ok;
|
|
|
|
break;
|
|
|
|
case 1:
|
|
|
|
*err = err_overflow;
|
|
|
|
break;
|
|
|
|
case 2:
|
|
|
|
*err = err_improper_argument;
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
*err = err_internal_error;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this method calculates the logarithm
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
|
|
|
ValueType Log(const ValueType & x, const ValueType & base, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() || base.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
return ValueType(); // default NaN
|
|
|
|
}
|
|
|
|
|
|
|
|
ValueType result;
|
2007-01-22 21:25:45 +01:00
|
|
|
uint state = result.Log(x, base);
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
if( err )
|
|
|
|
{
|
|
|
|
switch( state )
|
|
|
|
{
|
|
|
|
case 0:
|
|
|
|
*err = err_ok;
|
|
|
|
break;
|
|
|
|
case 1:
|
|
|
|
*err = err_overflow;
|
|
|
|
break;
|
|
|
|
case 2:
|
|
|
|
case 3:
|
|
|
|
*err = err_improper_argument;
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
*err = err_internal_error;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this method calculates the expression e^x
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
|
|
|
ValueType Exp(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
ValueType result;
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
uint c = result.Exp(x);
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
if( err )
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
*err = c ? err_overflow : err_ok;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
*
|
|
|
|
* trigonometric functions
|
|
|
|
*
|
|
|
|
*/
|
2007-02-27 21:18:33 +01:00
|
|
|
|
2008-06-18 02:33:05 +02:00
|
|
|
|
|
|
|
/*
|
|
|
|
this namespace consists of auxiliary functions
|
|
|
|
(something like 'private' in a class)
|
|
|
|
*/
|
2007-02-27 21:18:33 +01:00
|
|
|
namespace auxiliaryfunctions
|
|
|
|
{
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Sine
|
2007-01-21 21:02:44 +01:00
|
|
|
(you don't have to call this function)
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
2009-05-11 03:50:00 +02:00
|
|
|
uint PrepareSin(ValueType & x, bool & change_sign)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2007-01-22 21:25:45 +01:00
|
|
|
ValueType temp;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
change_sign = false;
|
|
|
|
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
// we're using the formula 'sin(-x) = -sin(x)'
|
|
|
|
change_sign = !change_sign;
|
|
|
|
x.ChangeSign();
|
|
|
|
}
|
|
|
|
|
|
|
|
// we're reducing the period 2*PI
|
|
|
|
// (for big values there'll always be zero)
|
|
|
|
temp.Set2Pi();
|
2009-05-11 03:50:00 +02:00
|
|
|
|
|
|
|
if( x.Mod(temp) )
|
|
|
|
return 1;
|
|
|
|
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
// we're setting 'x' as being in the range of <0, 0.5PI>
|
|
|
|
|
|
|
|
temp.SetPi();
|
|
|
|
|
|
|
|
if( x > temp )
|
|
|
|
{
|
|
|
|
// x is in (pi, 2*pi>
|
|
|
|
x.Sub( temp );
|
|
|
|
change_sign = !change_sign;
|
|
|
|
}
|
|
|
|
|
|
|
|
temp.Set05Pi();
|
|
|
|
|
|
|
|
if( x > temp )
|
|
|
|
{
|
|
|
|
// x is in (0.5pi, pi>
|
|
|
|
x.Sub( temp );
|
|
|
|
x = temp - x;
|
|
|
|
}
|
2009-05-11 03:50:00 +02:00
|
|
|
|
|
|
|
return 0;
|
2007-01-21 21:02:44 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Sine
|
2007-01-21 21:02:44 +01:00
|
|
|
(you don't have to call this function)
|
|
|
|
|
|
|
|
it returns Sin(x) where 'x' is from <0, PI/2>
|
|
|
|
we're calculating the Sin with using Taylor series in zero or PI/2
|
|
|
|
(depending on which point of these two points is nearer to the 'x')
|
|
|
|
|
|
|
|
Taylor series:
|
|
|
|
sin(x) = sin(a) + cos(a)*(x-a)/(1!)
|
|
|
|
- sin(a)*((x-a)^2)/(2!) - cos(a)*((x-a)^3)/(3!)
|
|
|
|
+ sin(a)*((x-a)^4)/(4!) + ...
|
|
|
|
|
|
|
|
when a=0 it'll be:
|
|
|
|
sin(x) = (x)/(1!) - (x^3)/(3!) + (x^5)/(5!) - (x^7)/(7!) + (x^9)/(9!) ...
|
|
|
|
|
|
|
|
and when a=PI/2:
|
|
|
|
sin(x) = 1 - ((x-PI/2)^2)/(2!) + ((x-PI/2)^4)/(4!) - ((x-PI/2)^6)/(6!) ...
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
|
|
|
ValueType Sin0pi05(const ValueType & x)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2007-01-22 21:25:45 +01:00
|
|
|
ValueType result;
|
|
|
|
ValueType numerator, denominator;
|
|
|
|
ValueType d_numerator, d_denominator;
|
|
|
|
ValueType one, temp, old_result;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
// temp = pi/4
|
|
|
|
temp.Set05Pi();
|
|
|
|
temp.exponent.SubOne();
|
|
|
|
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
if( x < temp )
|
|
|
|
{
|
|
|
|
// we're using the Taylor series with a=0
|
|
|
|
result = x;
|
|
|
|
numerator = x;
|
|
|
|
denominator = one;
|
|
|
|
|
|
|
|
// d_numerator = x^2
|
|
|
|
d_numerator = x;
|
|
|
|
d_numerator.Mul(x);
|
|
|
|
|
|
|
|
d_denominator = 2;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
// we're using the Taylor series with a=PI/2
|
|
|
|
result = one;
|
|
|
|
numerator = one;
|
|
|
|
denominator = one;
|
|
|
|
|
|
|
|
// d_numerator = (x-pi/2)^2
|
2007-01-22 21:25:45 +01:00
|
|
|
ValueType pi05;
|
2007-01-21 21:02:44 +01:00
|
|
|
pi05.Set05Pi();
|
|
|
|
|
|
|
|
temp = x;
|
|
|
|
temp.Sub( pi05 );
|
|
|
|
d_numerator = temp;
|
|
|
|
d_numerator.Mul( temp );
|
|
|
|
|
|
|
|
d_denominator = one;
|
|
|
|
}
|
|
|
|
|
2007-01-29 18:58:18 +01:00
|
|
|
uint c = 0;
|
2007-01-21 21:02:44 +01:00
|
|
|
bool addition = false;
|
|
|
|
|
|
|
|
old_result = result;
|
2007-01-29 18:58:18 +01:00
|
|
|
for(uint i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
|
|
|
// we're starting from a second part of the formula
|
|
|
|
c += numerator. Mul( d_numerator );
|
|
|
|
c += denominator. Mul( d_denominator );
|
|
|
|
c += d_denominator.Add( one );
|
|
|
|
c += denominator. Mul( d_denominator );
|
|
|
|
c += d_denominator.Add( one );
|
|
|
|
temp = numerator;
|
|
|
|
c += temp.Div(denominator);
|
|
|
|
|
|
|
|
if( c )
|
|
|
|
// Sin is from <-1,1> and cannot make an overflow
|
|
|
|
// but the carry can be from the Taylor series
|
2009-05-08 20:14:00 +02:00
|
|
|
// (then we only break our calculations)
|
2007-01-21 21:02:44 +01:00
|
|
|
break;
|
|
|
|
|
|
|
|
if( addition )
|
|
|
|
result.Add( temp );
|
|
|
|
else
|
|
|
|
result.Sub( temp );
|
|
|
|
|
|
|
|
|
|
|
|
addition = !addition;
|
|
|
|
|
|
|
|
// we're testing whether the result has changed after adding
|
|
|
|
// the next part of the Taylor formula, if not we end the loop
|
|
|
|
// (it means 'x' is zero or 'x' is PI/2 or this part of the formula
|
|
|
|
// is too small)
|
|
|
|
if( result == old_result )
|
|
|
|
break;
|
|
|
|
|
|
|
|
old_result = result;
|
|
|
|
}
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
} // namespace auxiliaryfunctions
|
2007-01-21 21:02:44 +01:00
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calculates the Sine
|
2007-01-21 21:02:44 +01:00
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType Sin(ValueType x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2007-02-27 21:18:33 +01:00
|
|
|
using namespace auxiliaryfunctions;
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType one, result;
|
2007-01-21 21:02:44 +01:00
|
|
|
bool change_sign;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
if( PrepareSin( x, change_sign ) )
|
|
|
|
{
|
|
|
|
// x is too big, we cannnot reduce the 2*PI period
|
|
|
|
// prior to version 0.8.5 the result was zero
|
2009-05-27 01:13:22 +02:00
|
|
|
|
|
|
|
// result has NaN flag set by default
|
2009-05-11 03:50:00 +02:00
|
|
|
|
|
|
|
if( err )
|
2009-06-16 20:31:39 +02:00
|
|
|
*err = err_overflow; // maybe another error code? err_improper_argument?
|
2009-05-11 03:50:00 +02:00
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return result; // NaN is set by default
|
2009-05-11 03:50:00 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
result = Sin0pi05( x );
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
one.SetOne();
|
|
|
|
|
2007-01-22 21:25:45 +01:00
|
|
|
// after calculations there can be small distortions in the result
|
2007-01-21 21:02:44 +01:00
|
|
|
if( result > one )
|
|
|
|
result = one;
|
|
|
|
else
|
|
|
|
if( result.IsSign() )
|
2007-01-22 21:25:45 +01:00
|
|
|
// we've calculated the sin from <0, pi/2> and the result
|
|
|
|
// should be positive
|
2007-01-21 21:02:44 +01:00
|
|
|
result.SetZero();
|
|
|
|
|
|
|
|
if( change_sign )
|
|
|
|
result.ChangeSign();
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calulates the Cosine
|
2007-01-21 21:02:44 +01:00
|
|
|
we're using the formula cos(x) = sin(x + PI/2)
|
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType Cos(ValueType x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-01-22 21:25:45 +01:00
|
|
|
ValueType pi05;
|
2007-01-21 21:02:44 +01:00
|
|
|
pi05.Set05Pi();
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
uint c = x.Add( pi05 );
|
|
|
|
|
|
|
|
if( c )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_overflow;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return ValueType(); // result is undefined (NaN is set by default)
|
2009-05-11 03:50:00 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
return Sin(x, err);
|
2007-01-21 21:02:44 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calulates the Tangent
|
2007-01-21 21:02:44 +01:00
|
|
|
we're using the formula tan(x) = sin(x) / cos(x)
|
|
|
|
|
|
|
|
it takes more time than calculating the Tan directly
|
2007-01-22 21:25:45 +01:00
|
|
|
from for example Taylor series but should be a bit preciser
|
2007-01-21 21:02:44 +01:00
|
|
|
because Tan receives its values from -infinity to +infinity
|
|
|
|
and when we calculate it from any series then we can make
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
a greater mistake than calculating 'sin/cos'
|
2007-01-21 21:02:44 +01:00
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
|
|
|
ValueType Tan(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType result = Cos(x, err);
|
|
|
|
|
|
|
|
if( err && *err != err_ok )
|
|
|
|
return result;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
if( result.IsZero() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
result.SetNan();
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
return Sin(x, err) / result;
|
2007-01-21 21:02:44 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calulates the Tangent
|
|
|
|
look at the description of Tan(...)
|
|
|
|
|
|
|
|
(the abbreviation of Tangent can be 'tg' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Tg(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return Tan(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calulates the Cotangent
|
2007-01-21 21:02:44 +01:00
|
|
|
we're using the formula tan(x) = cos(x) / sin(x)
|
|
|
|
|
|
|
|
(why do we make it in this way?
|
2007-01-22 21:25:45 +01:00
|
|
|
look at information in Tan() function)
|
2007-01-21 21:02:44 +01:00
|
|
|
*/
|
2007-01-22 21:25:45 +01:00
|
|
|
template<class ValueType>
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType Cot(const ValueType & x, ErrorCode * err = 0)
|
2007-01-21 21:02:44 +01:00
|
|
|
{
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType result = Sin(x, err);
|
|
|
|
|
|
|
|
if( err && *err != err_ok )
|
|
|
|
return result;
|
2007-01-21 21:02:44 +01:00
|
|
|
|
|
|
|
if( result.IsZero() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
result.SetNan();
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
return Cos(x, err) / result;
|
2007-01-21 21:02:44 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
/*!
|
|
|
|
this function calulates the Cotangent
|
|
|
|
look at the description of Cot(...)
|
|
|
|
|
|
|
|
(the abbreviation of Cotangent can be 'ctg' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Ctg(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return Cot(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2007-02-24 19:59:05 +01:00
|
|
|
/*
|
|
|
|
*
|
|
|
|
* inverse trigonometric functions
|
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
namespace auxiliaryfunctions
|
|
|
|
{
|
|
|
|
|
2007-02-24 19:59:05 +01:00
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Arc Sine
|
2007-02-24 19:59:05 +01:00
|
|
|
|
|
|
|
we're calculating asin from the following formula:
|
|
|
|
asin(x) = x + (1*x^3)/(2*3) + (1*3*x^5)/(2*4*5) + (1*3*5*x^7)/(2*4*6*7) + ...
|
|
|
|
where abs(x) <= 1
|
|
|
|
|
|
|
|
we're using this formula when x is from <0, 1/2>
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ASin_0(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType nominator, denominator, nominator_add, nominator_x, denominator_add, denominator_x;
|
|
|
|
ValueType two, result(x), x2(x);
|
|
|
|
ValueType nominator_temp, denominator_temp, old_result = result;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
x2.Mul(x);
|
|
|
|
two = 2;
|
|
|
|
|
|
|
|
nominator.SetOne();
|
|
|
|
denominator = two;
|
|
|
|
nominator_add = nominator;
|
|
|
|
denominator_add = denominator;
|
|
|
|
nominator_x = x;
|
|
|
|
denominator_x = 3;
|
|
|
|
|
|
|
|
for(uint i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
|
|
|
|
{
|
|
|
|
c += nominator_x.Mul(x2);
|
|
|
|
nominator_temp = nominator_x;
|
|
|
|
c += nominator_temp.Mul(nominator);
|
|
|
|
denominator_temp = denominator;
|
|
|
|
c += denominator_temp.Mul(denominator_x);
|
|
|
|
c += nominator_temp.Div(denominator_temp);
|
|
|
|
|
|
|
|
// if there is a carry somewhere we only break the calculating
|
|
|
|
// the result should be ok -- it's from <-pi/2, pi/2>
|
|
|
|
if( c )
|
|
|
|
break;
|
|
|
|
|
|
|
|
result.Add(nominator_temp);
|
|
|
|
|
|
|
|
if( result == old_result )
|
|
|
|
// there's no sense to calculate more
|
|
|
|
break;
|
|
|
|
|
|
|
|
old_result = result;
|
|
|
|
|
|
|
|
|
|
|
|
c += nominator_add.Add(two);
|
|
|
|
c += denominator_add.Add(two);
|
|
|
|
c += nominator.Mul(nominator_add);
|
|
|
|
c += denominator.Mul(denominator_add);
|
|
|
|
c += denominator_x.Add(two);
|
|
|
|
}
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Arc Sine
|
2007-02-24 19:59:05 +01:00
|
|
|
|
|
|
|
we're calculating asin from the following formula:
|
|
|
|
asin(x) = pi/2 - sqrt(2)*sqrt(1-x) * asin_temp
|
|
|
|
asin_temp = 1 + (1*(1-x))/((2*3)*(2)) + (1*3*(1-x)^2)/((2*4*5)*(4)) + (1*3*5*(1-x)^3)/((2*4*6*7)*(8)) + ...
|
|
|
|
|
|
|
|
where abs(x) <= 1
|
|
|
|
|
|
|
|
we're using this formula when x is from (1/2, 1>
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ASin_1(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType nominator, denominator, nominator_add, nominator_x, nominator_x_add, denominator_add, denominator_x;
|
|
|
|
ValueType denominator2;
|
|
|
|
ValueType one, two, result;
|
|
|
|
ValueType nominator_temp, denominator_temp, old_result;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
two = 2;
|
|
|
|
|
|
|
|
one.SetOne();
|
|
|
|
nominator = one;
|
|
|
|
result = one;
|
|
|
|
old_result = result;
|
|
|
|
denominator = two;
|
|
|
|
nominator_add = nominator;
|
|
|
|
denominator_add = denominator;
|
|
|
|
nominator_x = one;
|
|
|
|
nominator_x.Sub(x);
|
|
|
|
nominator_x_add = nominator_x;
|
|
|
|
denominator_x = 3;
|
|
|
|
denominator2 = two;
|
|
|
|
|
|
|
|
|
|
|
|
for(uint i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
|
|
|
|
{
|
|
|
|
nominator_temp = nominator_x;
|
|
|
|
c += nominator_temp.Mul(nominator);
|
|
|
|
denominator_temp = denominator;
|
|
|
|
c += denominator_temp.Mul(denominator_x);
|
|
|
|
c += denominator_temp.Mul(denominator2);
|
|
|
|
c += nominator_temp.Div(denominator_temp);
|
|
|
|
|
|
|
|
// if there is a carry somewhere we only break the calculating
|
|
|
|
// the result should be ok -- it's from <-pi/2, pi/2>
|
|
|
|
if( c )
|
|
|
|
break;
|
|
|
|
|
|
|
|
result.Add(nominator_temp);
|
|
|
|
|
|
|
|
if( result == old_result )
|
|
|
|
// there's no sense to calculate more
|
|
|
|
break;
|
|
|
|
|
|
|
|
old_result = result;
|
|
|
|
|
|
|
|
c += nominator_x.Mul(nominator_x_add);
|
|
|
|
c += nominator_add.Add(two);
|
|
|
|
c += denominator_add.Add(two);
|
|
|
|
c += nominator.Mul(nominator_add);
|
|
|
|
c += denominator.Mul(denominator_add);
|
|
|
|
c += denominator_x.Add(two);
|
|
|
|
c += denominator2.Mul(two);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
nominator_x_add.exponent.AddOne(); // *2
|
|
|
|
one.exponent.SubOne(); // =0.5
|
|
|
|
nominator_x_add.Pow(one); // =sqrt(nominator_x_add)
|
|
|
|
result.Mul(nominator_x_add);
|
|
|
|
|
|
|
|
one.Set05Pi();
|
|
|
|
one.Sub(result);
|
|
|
|
|
|
|
|
return one;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
} // namespace auxiliaryfunctions
|
|
|
|
|
|
|
|
|
2007-02-24 19:59:05 +01:00
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calculates the Arc Sine
|
2007-02-24 19:59:05 +01:00
|
|
|
x is from <-1,1>
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ASin(ValueType x, ErrorCode * err = 0)
|
|
|
|
{
|
2007-02-27 21:18:33 +01:00
|
|
|
using namespace auxiliaryfunctions;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
ValueType result, one;
|
2007-02-24 19:59:05 +01:00
|
|
|
one.SetOne();
|
|
|
|
bool change_sign = false;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
2007-02-24 19:59:05 +01:00
|
|
|
if( x.GreaterWithoutSignThan(one) )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return result; // NaN is set by default
|
2007-02-24 19:59:05 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
change_sign = true;
|
|
|
|
x.Abs();
|
|
|
|
}
|
|
|
|
|
|
|
|
one.exponent.SubOne(); // =0.5
|
|
|
|
|
|
|
|
// asin(-x) = -asin(x)
|
|
|
|
if( x.GreaterWithoutSignThan(one) )
|
|
|
|
result = ASin_1(x);
|
|
|
|
else
|
|
|
|
result = ASin_0(x);
|
|
|
|
|
|
|
|
if( change_sign )
|
|
|
|
result.ChangeSign();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calculates the Arc Cosine
|
2007-02-24 19:59:05 +01:00
|
|
|
|
|
|
|
we're using the formula:
|
|
|
|
acos(x) = pi/2 - asin(x)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ACos(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType temp;
|
|
|
|
|
|
|
|
temp.Set05Pi();
|
2009-06-16 20:31:39 +02:00
|
|
|
temp.Sub(ASin(x, err));
|
2007-02-24 19:59:05 +01:00
|
|
|
|
|
|
|
return temp;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
namespace auxiliaryfunctions
|
|
|
|
{
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Arc Tangent
|
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
arc tan (x) where x is in <0; 0.5)
|
|
|
|
(x can be in (-0.5 ; 0.5) too)
|
|
|
|
|
|
|
|
we're using the Taylor series expanded in zero:
|
|
|
|
atan(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATan0(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType nominator, denominator, nominator_add, denominator_add, temp;
|
|
|
|
ValueType result, old_result;
|
|
|
|
bool adding = false;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
result = x;
|
|
|
|
old_result = result;
|
|
|
|
nominator = x;
|
|
|
|
nominator_add = x;
|
|
|
|
nominator_add.Mul(x);
|
|
|
|
|
|
|
|
denominator.SetOne();
|
|
|
|
denominator_add = 2;
|
|
|
|
|
|
|
|
for(uint i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
|
|
|
|
{
|
|
|
|
c += nominator.Mul(nominator_add);
|
|
|
|
c += denominator.Add(denominator_add);
|
|
|
|
|
|
|
|
temp = nominator;
|
|
|
|
c += temp.Div(denominator);
|
|
|
|
|
|
|
|
if( c )
|
|
|
|
// the result should be ok
|
|
|
|
break;
|
|
|
|
|
|
|
|
if( adding )
|
|
|
|
result.Add(temp);
|
|
|
|
else
|
|
|
|
result.Sub(temp);
|
|
|
|
|
|
|
|
if( result == old_result )
|
|
|
|
// there's no sense to calculate more
|
|
|
|
break;
|
|
|
|
|
|
|
|
old_result = result;
|
|
|
|
adding = !adding;
|
|
|
|
}
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Arc Tangent
|
|
|
|
|
|
|
|
where x is in <0 ; 1>
|
2007-02-27 21:18:33 +01:00
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATan01(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType half;
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
half.Set05();
|
2007-02-27 21:18:33 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
it would be better if we chose about sqrt(2)-1=0.41... instead of 0.5 here
|
|
|
|
|
|
|
|
because as you can see below:
|
|
|
|
when x = sqrt(2)-1
|
|
|
|
abs(x) = abs( (x-1)/(1+x) )
|
|
|
|
so when we're calculating values around x
|
|
|
|
then they will be better converged to each other
|
|
|
|
|
|
|
|
for example if we have x=0.4999 then during calculating ATan0(0.4999)
|
|
|
|
we have to make about 141 iterations but when we have x=0.5
|
|
|
|
then during calculating ATan0( (x-1)/(1+x) ) we have to make
|
|
|
|
only about 89 iterations (both for Big<3,9>)
|
|
|
|
|
|
|
|
in the future this 0.5 can be changed
|
|
|
|
*/
|
|
|
|
if( x.SmallerWithoutSignThan(half) )
|
|
|
|
return ATan0(x);
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
x>=0.5 and x<=1
|
|
|
|
(x can be even smaller than 0.5)
|
|
|
|
|
|
|
|
y = atac(x)
|
|
|
|
x = tan(y)
|
|
|
|
|
|
|
|
tan(y-b) = (tan(y)-tab(b)) / (1+tan(y)*tan(b))
|
|
|
|
y-b = atan( (tan(y)-tab(b)) / (1+tan(y)*tan(b)) )
|
|
|
|
y = b + atan( (x-tab(b)) / (1+x*tan(b)) )
|
|
|
|
|
|
|
|
let b = pi/4
|
|
|
|
tan(b) = tan(pi/4) = 1
|
|
|
|
y = pi/4 + atan( (x-1)/(1+x) )
|
|
|
|
|
|
|
|
so
|
|
|
|
atac(x) = pi/4 + atan( (x-1)/(1+x) )
|
|
|
|
when x->1 (x converges to 1) the (x-1)/(1+x) -> 0
|
|
|
|
and we can use ATan0() function here
|
|
|
|
*/
|
|
|
|
|
|
|
|
ValueType n(x),d(x),one,result;
|
|
|
|
|
|
|
|
one.SetOne();
|
|
|
|
n.Sub(one);
|
|
|
|
d.Add(one);
|
|
|
|
n.Div(d);
|
|
|
|
|
|
|
|
result = ATan0(n);
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
n.Set05Pi();
|
|
|
|
n.exponent.SubOne(); // =pi/4
|
|
|
|
result.Add(n);
|
2007-01-21 21:02:44 +01:00
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
an auxiliary function for calculating the Arc Tangent
|
|
|
|
where x > 1
|
2007-02-27 21:18:33 +01:00
|
|
|
|
|
|
|
we're using the formula:
|
|
|
|
atan(x) = pi/2 - atan(1/x) for x>0
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATanGreaterThanPlusOne(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType temp, atan;
|
|
|
|
|
|
|
|
temp.SetOne();
|
|
|
|
|
|
|
|
if( temp.Div(x) )
|
|
|
|
{
|
|
|
|
// if there was a carry here that means x is very big
|
|
|
|
// and atan(1/x) fast converged to 0
|
|
|
|
atan.SetZero();
|
|
|
|
}
|
|
|
|
else
|
|
|
|
atan = ATan01(temp);
|
|
|
|
|
|
|
|
temp.Set05Pi();
|
|
|
|
temp.Sub(atan);
|
|
|
|
|
|
|
|
return temp;
|
|
|
|
}
|
|
|
|
|
|
|
|
} // namespace auxiliaryfunctions
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calculates the Arc Tangent
|
2007-02-27 21:18:33 +01:00
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATan(ValueType x)
|
|
|
|
{
|
|
|
|
using namespace auxiliaryfunctions;
|
|
|
|
|
|
|
|
ValueType one, result;
|
|
|
|
one.SetOne();
|
|
|
|
bool change_sign = false;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
return result; // NaN is set by default
|
|
|
|
|
2007-02-27 21:18:33 +01:00
|
|
|
// if x is negative we're using the formula:
|
|
|
|
// atan(-x) = -atan(x)
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
change_sign = true;
|
|
|
|
x.Abs();
|
|
|
|
}
|
|
|
|
|
|
|
|
if( x.GreaterWithoutSignThan(one) )
|
|
|
|
result = ATanGreaterThanPlusOne(x);
|
|
|
|
else
|
|
|
|
result = ATan01(x);
|
|
|
|
|
|
|
|
if( change_sign )
|
|
|
|
result.ChangeSign();
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
this function calculates the Arc Tangent
|
|
|
|
look at the description of ATan(...)
|
|
|
|
|
|
|
|
(the abbreviation of Arc Tangent can be 'atg' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATg(const ValueType & x)
|
|
|
|
{
|
|
|
|
return ATan(x);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Arc Cotangent
|
2007-02-27 21:18:33 +01:00
|
|
|
|
|
|
|
we're using the formula:
|
|
|
|
actan(x) = pi/2 - atan(x)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType ACot(const ValueType & x)
|
2007-02-27 21:18:33 +01:00
|
|
|
{
|
|
|
|
ValueType result;
|
|
|
|
|
|
|
|
result.Set05Pi();
|
|
|
|
result.Sub(ATan(x));
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
/*!
|
|
|
|
this function calculates the Arc Cotangent
|
|
|
|
look at the description of ACot(...)
|
|
|
|
|
|
|
|
(the abbreviation of Arc Cotangent can be 'actg' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ACtg(const ValueType & x)
|
|
|
|
{
|
|
|
|
return ACot(x);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
*
|
|
|
|
* hyperbolic functions
|
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Sine
|
|
|
|
|
|
|
|
we're using the formula sinh(x)= ( e^x - e^(-x) ) / 2
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Sinh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType ex, emx;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
c += ex.Exp(x);
|
|
|
|
c += emx.Exp(-x);
|
|
|
|
|
|
|
|
c += ex.Sub(emx);
|
|
|
|
c += ex.exponent.SubOne();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return ex;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Cosine
|
|
|
|
|
|
|
|
we're using the formula cosh(x)= ( e^x + e^(-x) ) / 2
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Cosh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType ex, emx;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
c += ex.Exp(x);
|
|
|
|
c += emx.Exp(-x);
|
|
|
|
|
|
|
|
c += ex.Add(emx);
|
|
|
|
c += ex.exponent.SubOne();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return ex;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Tangent
|
|
|
|
|
|
|
|
we're using the formula tanh(x)= ( e^x - e^(-x) ) / ( e^x + e^(-x) )
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Tanh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
ValueType ex, emx, nominator, denominator;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
c += ex.Exp(x);
|
|
|
|
c += emx.Exp(-x);
|
|
|
|
|
|
|
|
nominator = ex;
|
|
|
|
c += nominator.Sub(emx);
|
|
|
|
denominator = ex;
|
|
|
|
c += denominator.Add(emx);
|
|
|
|
|
|
|
|
c += nominator.Div(denominator);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return nominator;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Tangent
|
|
|
|
look at the description of Tanh(...)
|
|
|
|
|
|
|
|
(the abbreviation of Hyperbolic Tangent can be 'tgh' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Tgh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return Tanh(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Cotangent
|
|
|
|
|
|
|
|
we're using the formula coth(x)= ( e^x + e^(-x) ) / ( e^x - e^(-x) )
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Coth(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( x.IsZero() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return ValueType(); // NaN is set by default
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
ValueType ex, emx, nominator, denominator;
|
|
|
|
uint c = 0;
|
|
|
|
|
|
|
|
c += ex.Exp(x);
|
|
|
|
c += emx.Exp(-x);
|
|
|
|
|
|
|
|
nominator = ex;
|
|
|
|
c += nominator.Add(emx);
|
|
|
|
denominator = ex;
|
|
|
|
c += denominator.Sub(emx);
|
|
|
|
|
|
|
|
c += nominator.Div(denominator);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return nominator;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the Hyperbolic Cotangent
|
|
|
|
look at the description of Coth(...)
|
|
|
|
|
|
|
|
(the abbreviation of Hyperbolic Cotangent can be 'ctgh' as well)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Ctgh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return Coth(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2007-04-12 19:17:22 +02:00
|
|
|
/*
|
|
|
|
*
|
|
|
|
* inverse hyperbolic functions
|
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic sine
|
|
|
|
|
|
|
|
asinh(x) = ln( x + sqrt(x^2 + 1) )
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ASinh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-04-12 19:17:22 +02:00
|
|
|
ValueType xx(x), one, result;
|
|
|
|
uint c = 0;
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
c += xx.Mul(x);
|
|
|
|
c += xx.Add(one);
|
|
|
|
one.exponent.SubOne(); // one=0.5
|
|
|
|
// xx is >= 1
|
|
|
|
c += xx.PowFrac(one); // xx=sqrt(xx)
|
|
|
|
c += xx.Add(x);
|
|
|
|
c += result.Ln(xx); // xx > 0
|
|
|
|
|
|
|
|
// here can only be a carry
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic cosine
|
|
|
|
|
|
|
|
acosh(x) = ln( x + sqrt(x^2 - 1) ) x in <1, infinity)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ACosh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-04-12 19:17:22 +02:00
|
|
|
ValueType xx(x), one, result;
|
|
|
|
uint c = 0;
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
if( x < one )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return result; // NaN is set by default
|
2007-04-12 19:17:22 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
c += xx.Mul(x);
|
|
|
|
c += xx.Sub(one);
|
|
|
|
// xx is >= 0
|
|
|
|
// we can't call a PowFrac when the 'x' is zero
|
|
|
|
// if x is 0 the sqrt(0) is 0
|
|
|
|
if( !xx.IsZero() )
|
|
|
|
{
|
|
|
|
one.exponent.SubOne(); // one=0.5
|
|
|
|
c += xx.PowFrac(one); // xx=sqrt(xx)
|
|
|
|
}
|
|
|
|
c += xx.Add(x);
|
|
|
|
c += result.Ln(xx); // xx >= 1
|
|
|
|
|
|
|
|
// here can only be a carry
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic tangent
|
|
|
|
|
|
|
|
atanh(x) = 0.5 * ln( (1+x) / (1-x) ) x in (-1, 1)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATanh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-04-12 19:17:22 +02:00
|
|
|
ValueType nominator(x), denominator, one, result;
|
|
|
|
uint c = 0;
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
if( !x.SmallerWithoutSignThan(one) )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return result; // NaN is set by default
|
2007-04-12 19:17:22 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
c += nominator.Add(one);
|
|
|
|
denominator = one;
|
|
|
|
c += denominator.Sub(x);
|
|
|
|
c += nominator.Div(denominator);
|
|
|
|
c += result.Ln(nominator);
|
|
|
|
c += result.exponent.SubOne();
|
|
|
|
|
|
|
|
// here can only be a carry
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic tantent
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ATgh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return ATanh(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic cotangent
|
|
|
|
|
|
|
|
acoth(x) = 0.5 * ln( (x+1) / (x-1) ) x in (-infinity, -1) or (1, infinity)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ACoth(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return x; // NaN
|
|
|
|
}
|
|
|
|
|
2007-04-12 19:17:22 +02:00
|
|
|
ValueType nominator(x), denominator(x), one, result;
|
|
|
|
uint c = 0;
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
if( !x.GreaterWithoutSignThan(one) )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return result; // NaN is set by default
|
2007-04-12 19:17:22 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
c += nominator.Add(one);
|
|
|
|
c += denominator.Sub(one);
|
|
|
|
c += nominator.Div(denominator);
|
|
|
|
c += result.Ln(nominator);
|
|
|
|
c += result.exponent.SubOne();
|
|
|
|
|
|
|
|
// here can only be a carry
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
inverse hyperbolic cotantent
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType ACtgh(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
return ACoth(x, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
*
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
* functions for converting between degrees, radians and gradians
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees to radians
|
|
|
|
|
|
|
|
it returns: x * pi / 180
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType DegToRad(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
ValueType result, temp;
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
result = x;
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
// it is better to make division first and then multiplication
|
|
|
|
// the result is more accurate especially when x is: 90,180,270 or 360
|
|
|
|
temp = 180;
|
|
|
|
c += result.Div(temp);
|
|
|
|
|
|
|
|
temp.SetPi();
|
|
|
|
c += result.Mul(temp);
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts radians to degrees
|
|
|
|
|
|
|
|
it returns: x * 180 / pi
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType RadToDeg(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType result, delimiter;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
result = 180;
|
|
|
|
c += result.Mul(x);
|
|
|
|
|
|
|
|
delimiter.SetPi();
|
|
|
|
c += result.Div(delimiter);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees in the long format into one value
|
|
|
|
|
|
|
|
long format: (degrees, minutes, seconds)
|
|
|
|
minutes and seconds must be greater than or equal zero
|
|
|
|
|
|
|
|
result:
|
|
|
|
if d>=0 : result= d + ((s/60)+m)/60
|
|
|
|
if d<0 : result= d - ((s/60)+m)/60
|
|
|
|
|
|
|
|
((s/60)+m)/60 = (s+60*m)/3600 (second version is faster because
|
|
|
|
there's only one division)
|
|
|
|
|
|
|
|
for example:
|
|
|
|
DegToDeg(10, 30, 0) = 10.5
|
|
|
|
DegToDeg(10, 24, 35.6)=10.4098(8)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType DegToDeg( const ValueType & d, const ValueType & m, const ValueType & s,
|
|
|
|
ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType delimiter, multipler;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( d.IsNan() || m.IsNan() || s.IsNan() || m.IsSign() || s.IsSign() )
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
return delimiter ; // NaN is set by default
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
multipler = 60;
|
|
|
|
delimiter = 3600;
|
|
|
|
|
|
|
|
c += multipler.Mul(m);
|
|
|
|
c += multipler.Add(s);
|
|
|
|
c += multipler.Div(delimiter);
|
|
|
|
|
|
|
|
if( d.IsSign() )
|
|
|
|
multipler.ChangeSign();
|
|
|
|
|
|
|
|
c += multipler.Add(d);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return multipler;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees in the long format to radians
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType DegToRad( const ValueType & d, const ValueType & m, const ValueType & s,
|
|
|
|
ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType temp_deg = DegToDeg(d,m,s,err);
|
|
|
|
|
|
|
|
if( err && *err!=err_ok )
|
|
|
|
return temp_deg;
|
|
|
|
|
|
|
|
return DegToRad(temp_deg, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
/*!
|
|
|
|
this function converts gradians to radians
|
|
|
|
|
|
|
|
it returns: x * pi / 200
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType GradToRad(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType result, temp;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
result = x;
|
|
|
|
|
|
|
|
// it is better to make division first and then multiplication
|
|
|
|
// the result is more accurate especially when x is: 100,200,300 or 400
|
|
|
|
temp = 200;
|
|
|
|
c += result.Div(temp);
|
|
|
|
|
|
|
|
temp.SetPi();
|
|
|
|
c += result.Mul(temp);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts radians to gradians
|
|
|
|
|
|
|
|
it returns: x * 200 / pi
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType RadToGrad(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType result, delimiter;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
result = 200;
|
|
|
|
c += result.Mul(x);
|
|
|
|
|
|
|
|
delimiter.SetPi();
|
|
|
|
c += result.Div(delimiter);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees to gradians
|
|
|
|
|
|
|
|
it returns: x * 200 / 180
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType DegToGrad(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType result, temp;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
result = x;
|
|
|
|
|
|
|
|
temp = 200;
|
|
|
|
c += result.Mul(temp);
|
|
|
|
|
|
|
|
temp = 180;
|
|
|
|
c += result.Div(temp);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees in the long format to gradians
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType DegToGrad( const ValueType & d, const ValueType & m, const ValueType & s,
|
|
|
|
ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType temp_deg = DegToDeg(d,m,s,err);
|
|
|
|
|
|
|
|
if( err && *err!=err_ok )
|
|
|
|
return temp_deg;
|
|
|
|
|
|
|
|
return DegToGrad(temp_deg, err);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function converts degrees to gradians
|
|
|
|
|
|
|
|
it returns: x * 180 / 200
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType GradToDeg(const ValueType & x, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
ValueType result, temp;
|
|
|
|
uint c = 0;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return result; // NaN is set by default
|
|
|
|
}
|
|
|
|
|
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
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
2009-03-27 23:26:51 +01:00
|
|
|
result = x;
|
|
|
|
|
|
|
|
temp = 180;
|
|
|
|
c += result.Mul(temp);
|
|
|
|
|
|
|
|
temp = 200;
|
|
|
|
c += result.Div(temp);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
/*
|
|
|
|
*
|
|
|
|
* another functions
|
|
|
|
*
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
this function calculates the square root
|
|
|
|
|
|
|
|
Sqrt(9) = 3
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Sqrt(ValueType x, ErrorCode * err = 0)
|
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() || x.IsSign() )
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
return ValueType(); // NaN is set by default
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
if( x.IsZero() )
|
|
|
|
{
|
|
|
|
// Sqrt(0) = 0
|
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
return x;
|
|
|
|
}
|
|
|
|
|
|
|
|
ValueType pow;
|
|
|
|
pow.Set05();
|
|
|
|
|
|
|
|
// PowFrac can return only a carry because x is greater than zero
|
|
|
|
uint c = x.PowFrac(pow);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return x;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
|
|
|
|
namespace auxiliaryfunctions
|
|
|
|
{
|
|
|
|
|
|
|
|
template<class ValueType>
|
|
|
|
bool RootCheckIndexSign(ValueType & x, const ValueType & index, ErrorCode * err)
|
|
|
|
{
|
|
|
|
if( index.IsSign() )
|
|
|
|
{
|
|
|
|
// index cannot be negative
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
x.SetNan();
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template<class ValueType>
|
|
|
|
bool RootCheckIndexZero(ValueType & x, const ValueType & index, ErrorCode * err)
|
|
|
|
{
|
|
|
|
if( index.IsZero() )
|
|
|
|
{
|
|
|
|
if( x.IsZero() )
|
|
|
|
{
|
2008-06-07 16:07:59 +02:00
|
|
|
// there isn't root(0;0) - we assume it's not defined
|
2007-04-05 21:08:15 +02:00
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
x.SetNan();
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
// root(x;0) is 1 (if x!=0)
|
|
|
|
x.SetOne();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template<class ValueType>
|
2009-06-11 04:31:41 +02:00
|
|
|
bool RootCheckIndexOne(const ValueType & index, ErrorCode * err)
|
2007-04-05 21:08:15 +02:00
|
|
|
{
|
|
|
|
ValueType one;
|
|
|
|
one.SetOne();
|
|
|
|
|
|
|
|
if( index == one )
|
|
|
|
{
|
|
|
|
//root(x;1) is x
|
|
|
|
// we do it because if we used the PowFrac function
|
|
|
|
// we would lose the precision
|
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template<class ValueType>
|
|
|
|
bool RootCheckIndexFrac(ValueType & x, const ValueType & index, ErrorCode * err)
|
|
|
|
{
|
|
|
|
ValueType indexfrac(index);
|
|
|
|
indexfrac.RemainFraction();
|
|
|
|
|
|
|
|
if( !indexfrac.IsZero() )
|
|
|
|
{
|
|
|
|
// index must be integer
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
x.SetNan();
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template<class ValueType>
|
2009-06-11 04:31:41 +02:00
|
|
|
bool RootCheckXZero(ValueType & x, ErrorCode * err)
|
2007-04-05 21:08:15 +02:00
|
|
|
{
|
|
|
|
if( x.IsZero() )
|
|
|
|
{
|
|
|
|
// root(0;index) is zero (if index!=0)
|
2009-06-11 04:31:41 +02:00
|
|
|
// RootCheckIndexZero() must be called beforehand
|
2007-04-05 21:08:15 +02:00
|
|
|
x.SetZero();
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = err_ok;
|
|
|
|
|
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template<class ValueType>
|
|
|
|
bool RootCheckIndex(ValueType & x, const ValueType & index, ErrorCode * err, bool * change_sign)
|
|
|
|
{
|
|
|
|
*change_sign = false;
|
|
|
|
|
|
|
|
if( index.Mod2() )
|
|
|
|
{
|
|
|
|
// index is odd (1,3,5...)
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
*change_sign = true;
|
|
|
|
x.Abs();
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
// index is even
|
|
|
|
// x cannot be negative
|
|
|
|
if( x.IsSign() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
x.SetNan();
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
return true;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
indexth Root of x
|
|
|
|
index must be integer and not negative <0;1;2;3....)
|
|
|
|
|
|
|
|
if index==0 the result is one
|
|
|
|
if x==0 the result is zero and we assume root(0;0) is not defined
|
|
|
|
|
|
|
|
if index is even (2;4;6...) the result is x^(1/index) and x>0
|
|
|
|
if index is odd (1;2;3;...) the result is either
|
|
|
|
-(abs(x)^(1/index)) if x<0 or
|
|
|
|
x^(1/index)) if x>0
|
|
|
|
|
|
|
|
(for index==1 the result is equal x)
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Root(ValueType x, const ValueType & index, ErrorCode * err = 0)
|
|
|
|
{
|
|
|
|
using namespace auxiliaryfunctions;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() || index.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return ValueType(); // NaN is set by default
|
|
|
|
}
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
if( RootCheckIndexSign(x, index, err) ) return x;
|
|
|
|
if( RootCheckIndexZero(x, index, err) ) return x;
|
2009-06-11 04:31:41 +02:00
|
|
|
if( RootCheckIndexOne ( index, err) ) return x;
|
2007-04-05 21:08:15 +02:00
|
|
|
if( RootCheckIndexFrac(x, index, err) ) return x;
|
2009-06-11 04:31:41 +02:00
|
|
|
if( RootCheckXZero (x, err) ) return x;
|
2007-04-05 21:08:15 +02:00
|
|
|
|
|
|
|
// index integer and index!=0
|
|
|
|
// x!=0
|
|
|
|
|
|
|
|
uint c = 0;
|
|
|
|
bool change_sign;
|
|
|
|
if( RootCheckIndex(x, index, err, &change_sign ) ) return x;
|
|
|
|
|
|
|
|
ValueType newindex;
|
|
|
|
newindex.SetOne();
|
|
|
|
c += newindex.Div(index);
|
|
|
|
c += x.PowFrac(newindex); // here can only be a carry
|
|
|
|
|
|
|
|
if( change_sign )
|
2008-06-07 16:07:59 +02:00
|
|
|
{
|
|
|
|
// the value of x should be different from zero
|
|
|
|
// (x is actually tested by RootCheckXZero)
|
|
|
|
TTMATH_ASSERT( x.IsZero() == false )
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
x.SetSign();
|
2008-06-07 16:07:59 +02:00
|
|
|
}
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return x;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
namespace auxiliaryfunctions
|
|
|
|
{
|
|
|
|
|
|
|
|
template<class ValueType>
|
|
|
|
uint FactorialInt( const ValueType & x, ErrorCode * err,
|
|
|
|
const volatile StopCalculating * stop,
|
|
|
|
ValueType & result)
|
|
|
|
{
|
|
|
|
uint maxvalue = TTMATH_UINT_MAX_VALUE;
|
|
|
|
|
|
|
|
if( x < TTMATH_UINT_MAX_VALUE )
|
|
|
|
x.ToUInt(maxvalue);
|
|
|
|
|
|
|
|
uint multipler = 1;
|
|
|
|
uint carry = 0;
|
|
|
|
|
|
|
|
while( !carry && multipler<maxvalue )
|
|
|
|
{
|
2009-06-14 21:55:15 +02:00
|
|
|
if( stop && (multipler & 127)==0 ) // it means 'stop && (multipler % 128)==0'
|
2007-04-08 00:21:31 +02:00
|
|
|
{
|
2009-06-14 21:55:15 +02:00
|
|
|
// after each 128 iterations we make a test
|
|
|
|
if( stop->WasStopSignal() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_interrupt;
|
2007-04-08 00:21:31 +02:00
|
|
|
|
2009-06-14 21:55:15 +02:00
|
|
|
return 2;
|
|
|
|
}
|
2007-04-08 00:21:31 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
++multipler;
|
|
|
|
carry += result.MulUInt(multipler);
|
|
|
|
}
|
2007-04-05 21:08:15 +02:00
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
if( err )
|
|
|
|
*err = carry ? err_overflow : err_ok;
|
2007-04-05 21:08:15 +02:00
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
return carry ? 1 : 0;
|
|
|
|
}
|
2007-04-05 21:08:15 +02:00
|
|
|
|
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
template<class ValueType>
|
|
|
|
int FactorialMore( const ValueType & x, ErrorCode * err,
|
|
|
|
const volatile StopCalculating * stop,
|
|
|
|
ValueType & result)
|
|
|
|
{
|
|
|
|
ValueType multipler(TTMATH_UINT_MAX_VALUE);
|
|
|
|
ValueType one;
|
|
|
|
|
|
|
|
one.SetOne();
|
|
|
|
uint carry = 0;
|
2009-06-14 21:55:15 +02:00
|
|
|
uint iter = 1; // only for testing the stop object
|
2007-04-08 00:21:31 +02:00
|
|
|
|
|
|
|
while( !carry && multipler < x )
|
|
|
|
{
|
2009-06-14 21:55:15 +02:00
|
|
|
if( stop && (iter & 31)==0 ) // it means 'stop && (iter % 32)==0'
|
2007-04-08 00:21:31 +02:00
|
|
|
{
|
2009-06-14 21:55:15 +02:00
|
|
|
// after each 32 iterations we make a test
|
|
|
|
if( stop->WasStopSignal() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_interrupt;
|
2007-04-08 00:21:31 +02:00
|
|
|
|
2009-06-14 21:55:15 +02:00
|
|
|
return 2;
|
|
|
|
}
|
2007-04-08 00:21:31 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
carry += multipler.Add(one);
|
|
|
|
carry += result.Mul(multipler);
|
2009-06-14 21:55:15 +02:00
|
|
|
++iter;
|
2007-04-08 00:21:31 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = carry ? err_overflow : err_ok;
|
|
|
|
|
|
|
|
return carry ? 1 : 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
} // namespace
|
|
|
|
|
2007-04-05 21:08:15 +02:00
|
|
|
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
/*!
|
|
|
|
the factorial from given 'x'
|
|
|
|
e.g.
|
|
|
|
Factorial(4) = 4! = 1*2*3*4
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Factorial(const ValueType & x, ErrorCode * err = 0, const volatile StopCalculating * stop = 0)
|
|
|
|
{
|
2007-04-08 00:21:31 +02:00
|
|
|
using namespace auxiliaryfunctions;
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
static History<ValueType> history;
|
|
|
|
ValueType result;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
if( x.IsNan() || x.IsSign() )
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
return result; // NaN set by default
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
}
|
|
|
|
|
2009-06-16 20:31:39 +02:00
|
|
|
result.SetOne();
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
if( !x.exponent.IsSign() && !x.exponent.IsZero() )
|
|
|
|
{
|
|
|
|
// when x.exponent>0 there's no sense to calculate the formula
|
|
|
|
// (we can't add one into the x bacause
|
|
|
|
// we don't have enough bits in the mantissa)
|
|
|
|
if( err )
|
|
|
|
*err = err_overflow;
|
|
|
|
|
2009-05-27 01:13:22 +02:00
|
|
|
result.SetNan();
|
|
|
|
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
ErrorCode err_tmp;
|
|
|
|
|
|
|
|
if( history.Get(x, result, err_tmp) )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_tmp;
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
uint status = FactorialInt(x, err, stop, result);
|
|
|
|
if( status == 0 )
|
|
|
|
status = FactorialMore(x, err, stop, result);
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
if( status == 2 )
|
2009-05-27 01:13:22 +02:00
|
|
|
{
|
2007-04-08 00:21:31 +02:00
|
|
|
// the calculation has been interrupted
|
2009-05-27 01:13:22 +02:00
|
|
|
result.SetNan();
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
return result;
|
2009-05-27 01:13:22 +02:00
|
|
|
}
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
|
2007-04-08 00:21:31 +02:00
|
|
|
err_tmp = status==1 ? err_overflow : err_ok;
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
history.Add(x, result, err_tmp);
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
absolute value of x
|
|
|
|
e.g. -2 = 2
|
|
|
|
2 = 2
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Abs(const ValueType & x)
|
|
|
|
{
|
|
|
|
ValueType result( x );
|
|
|
|
result.Abs();
|
|
|
|
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
it returns the sign of the value
|
2007-04-05 21:08:15 +02:00
|
|
|
e.g. -2 = -1
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
0 = 0
|
|
|
|
10 = 1
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
|
|
|
ValueType Sgn(ValueType x)
|
|
|
|
{
|
|
|
|
x.Sgn();
|
|
|
|
|
|
|
|
return x;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*!
|
|
|
|
the remainder from a division
|
|
|
|
|
|
|
|
e.g.
|
2009-05-11 03:50:00 +02:00
|
|
|
mod( 12.6 ; 3) = 0.6 because 12.6 = 3*4 + 0.6
|
|
|
|
mod(-12.6 ; 3) = -0.6 bacause -12.6 = 3*(-4) + (-0.6)
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
mod( 12.6 ; -3) = 0.6
|
|
|
|
mod(-12.6 ; -3) = -0.6
|
|
|
|
*/
|
|
|
|
template<class ValueType>
|
2009-05-11 03:50:00 +02:00
|
|
|
ValueType Mod(ValueType a, const ValueType & b, ErrorCode * err = 0)
|
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)
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
2007-03-29 00:27:57 +02:00
|
|
|
{
|
2009-06-16 20:31:39 +02:00
|
|
|
if( a.IsNan() || b.IsNan() )
|
|
|
|
{
|
|
|
|
if( err )
|
|
|
|
*err = err_improper_argument;
|
|
|
|
|
|
|
|
return ValueType(); // NaN is set by default
|
|
|
|
}
|
|
|
|
|
2009-05-11 03:50:00 +02:00
|
|
|
uint c = a.Mod(b);
|
|
|
|
|
|
|
|
if( err )
|
|
|
|
*err = c ? err_overflow : err_ok;
|
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)
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
2007-03-29 00:27:57 +02:00
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return a;
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}
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2007-02-27 21:18:33 +01:00
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} // namespace
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2007-01-21 21:02:44 +01:00
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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)
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
2007-03-29 00:27:57 +02:00
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/*!
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this is for convenience for the user
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he can only use '#include <ttmath/ttmath.h>' even if he uses the parser
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*/
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#include "ttmathparser.h"
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2009-06-11 04:31:41 +02:00
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#ifdef _MSC_VER
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#pragma warning( default: 4127 )
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2009-06-16 20:31:39 +02:00
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//warning C4127: conditional expression is constant
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2009-06-11 04:31:41 +02:00
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#endif
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2007-01-21 21:02:44 +01:00
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#endif
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