[geos-commits] [SCM] GEOS branch master updated. 3df362a9d8c04a53bdaae0916c821296641ef6a3

git at osgeo.org git at osgeo.org
Thu Apr 16 15:32:54 PDT 2020


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- Log -----------------------------------------------------------------
commit 3df362a9d8c04a53bdaae0916c821296641ef6a3
Author: Paul Ramsey <pramsey at cleverelephant.ca>
Date:   Thu Apr 16 15:32:47 2020 -0700

    news entry for ttmath retirement

diff --git a/NEWS b/NEWS
index 6c36595..7541806 100644
--- a/NEWS
+++ b/NEWS
@@ -11,6 +11,7 @@ Changes in 3.9.0
     and escape paths (https://git.osgeo.org/gitea/geos/geos/pulls/99) 
     changes mostly affect CMake MSVC builds (#1015, Mike Taves)
   - Testing on Rasberry Pi 32-bit (berrie) (#1017, Bruce Rindahl, Regina Obe)
+  - Replace ttmath with JTS DD double-double implementation (Paul Ramsey)
 
 
 Changes in 3.8.0

commit bed36f15c780057ae9b83eb9cd2e8ef6a9ada498
Author: Paul Ramsey <pramsey at cleverelephant.ca>
Date:   Thu Apr 16 15:31:11 2020 -0700

    Squashed commit of the following:
    
    commit ab1b004af900354f907f9a5d31ec514c2547ada4
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Thu Apr 16 14:40:23 2020 -0700
    
        remove ttmath in favour of DD
    
    commit 472c1f9a12df1a4b9628f61c93594ee162382db4
    Merge: 8ccf3bf8 312c085b
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Thu Apr 16 13:24:39 2020 -0700
    
        Merge branch 'master' of https://git.osgeo.org/gitea/geos/geos into master-dd
    
    commit 8ccf3bf874a2887b40afbaca57ee67b59b5eb40b
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Thu Apr 16 13:10:25 2020 -0700
    
        add informational comment
    
    commit 8fd12e02f060f8e35d36a162d81d1ef94da1b784
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Thu Apr 16 12:15:00 2020 -0700
    
        add in all JTS unit tests for doubledouble calculations
    
    commit e24af3ba8ce7eca76840164c2edd5e066bbebe28
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Wed Apr 15 13:47:56 2020 -0700
    
        autotools build
    
    commit cb5942a13c5113ae42108e0422fed9a34a465abf
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Wed Apr 15 13:31:28 2020 -0700
    
        fix doxygen complaint?
    
    commit 469037a4ca75b0f4df3638256c0fff2b61d37796
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Wed Apr 15 12:47:14 2020 -0700
    
        change name of ifdef guard
    
    commit 00559ec59b56a0ec6a0481b54f0ab597324d9439
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Wed Apr 15 12:40:50 2020 -0700
    
        allow DD to swap in for ttmath
    
    commit 75e70f7f28e751f26cc3db5b4964a86f3bae518f
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Wed Apr 15 11:28:15 2020 -0700
    
        clean build of all DD functionality from JTS
    
    commit e42e9bc0ea3fd35bddc892fbe51b3de5677d8e57
    Author: Paul Ramsey <pramsey at cleverelephant.ca>
    Date:   Tue Apr 14 17:27:45 2020 -0700
    
        DD wip

diff --git a/.codecov.yml b/.codecov.yml
index cbb62bf..c229399 100644
--- a/.codecov.yml
+++ b/.codecov.yml
@@ -2,7 +2,6 @@ coverage:
   precision: 2
 
 ignore:
-  - "include/geos/algorithm/ttmath"
   - "tests/unit/tut"
   - "tests/xmltester/tinyxml2"
 
diff --git a/Makefile.am b/Makefile.am
index dbc7451..f064d45 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -73,5 +73,4 @@ valgrindcheck:
 check-local:
 	! find $(srcdir) -name '*.cpp' -o -name '*.h' | \
 		grep -v tests/xmltester/tinyxml | \
-		grep -v include/geos/algorithm/ttmath | \
 		xargs grep -n '[[:space:]]$$'
diff --git a/configure.ac b/configure.ac
index 7c54d75..1eade62 100644
--- a/configure.ac
+++ b/configure.ac
@@ -376,7 +376,6 @@ AC_OUTPUT([
 	include/geos/algorithm/Makefile
 	include/geos/algorithm/locate/Makefile
 	include/geos/algorithm/distance/Makefile
-	include/geos/algorithm/ttmath/Makefile
 	include/geos/geom/Makefile
 	include/geos/geom/prep/Makefile
 	include/geos/geom/util/Makefile
@@ -391,6 +390,7 @@ AC_OUTPUT([
 	include/geos/index/sweepline/Makefile
 	include/geos/io/Makefile
 	include/geos/linearref/Makefile
+	include/geos/math/Makefile
 	include/geos/noding/Makefile
 	include/geos/noding/snapround/Makefile
 	include/geos/operation/Makefile
@@ -423,6 +423,7 @@ AC_OUTPUT([
 	src/index/sweepline/Makefile
 	src/io/Makefile
 	src/linearref/Makefile
+	src/math/Makefile
 	src/noding/Makefile
 	src/noding/snapround/Makefile
 	src/operation/Makefile
diff --git a/doc/Doxyfile.in b/doc/Doxyfile.in
index 6490c2c..0f9d70b 100644
--- a/doc/Doxyfile.in
+++ b/doc/Doxyfile.in
@@ -853,7 +853,6 @@ EXCLUDE_PATTERNS       = */examples/* \
                          */test/* \
                          */bigtest/* \
                          */io/markup/* \
-                         */ttmath/* \
                          config.h \
                          acconfig.h \
                          CoordinateList.cpp \
diff --git a/include/geos/Makefile.am b/include/geos/Makefile.am
index 363494c..e34f56d 100644
--- a/include/geos/Makefile.am
+++ b/include/geos/Makefile.am
@@ -8,6 +8,7 @@ SUBDIRS = \
     index \
     io \
     linearref \
+    math \
     noding \
     operation \
     planargraph \
diff --git a/include/geos/algorithm/CGAlgorithmsDD.h b/include/geos/algorithm/CGAlgorithmsDD.h
index f596466..583532c 100644
--- a/include/geos/algorithm/CGAlgorithmsDD.h
+++ b/include/geos/algorithm/CGAlgorithmsDD.h
@@ -19,17 +19,7 @@
 #ifndef GEOS_ALGORITHM_CGALGORITHMDD_H
 #define GEOS_ALGORITHM_CGALGORITHMDD_H
 #include <geos/export.h>
-#include <geos/algorithm/ttmath/ttmath.h>
-
-/// \file CGAlgorithmsDD.h
-
-/// \brief Close to DoubleDouble equivalent used by JTS
-///
-/// Usage: `ttmath::Big<exponent, mantissa>`
-typedef ttmath::Big<TTMATH_BITS(32), TTMATH_BITS(128)> DD;
-//typedef ttmath::Big<TTMATH_BITS(64), TTMATH_BITS(128)> DD;
-//typedef ttmath::Big<TTMATH_BITS(32), TTMATH_BITS(256)> DD;
-//typedef ttmath::Big<TTMATH_BITS(64), TTMATH_BITS(256)> DD;
+#include <geos/math/DD.h>
 
 // Forward declarations
 namespace geos {
@@ -39,6 +29,8 @@ class CoordinateSequence;
 }
 }
 
+using namespace geos::math;
+
 namespace geos {
 namespace algorithm { // geos::algorithm
 
@@ -139,7 +131,7 @@ public:
      * The circumcentre does not necessarily lie within the triangle. For example,
      * the circumcentre of an obtuse isosceles triangle lies outside the triangle.
      *
-     * This method uses @ref DD extended-precision arithmetic to provide more accurate
+     * This method uses @ref geos::math::DD extended-precision arithmetic to provide more accurate
      * results than [circumcentre(Coordinate, Coordinate, Coordinate)]
      * (@ref geos::geom::Triangle::circumcentre(const Coordinate& p0, const Coordinate& p1, const Coordinate& p2)).
      *
diff --git a/include/geos/algorithm/Makefile.am b/include/geos/algorithm/Makefile.am
index 717e63d..dbd5a61 100644
--- a/include/geos/algorithm/Makefile.am
+++ b/include/geos/algorithm/Makefile.am
@@ -3,8 +3,7 @@
 #
 SUBDIRS = \
 	locate \
-	distance \
-	ttmath
+	distance 
 
 EXTRA_DIST =
 
diff --git a/include/geos/algorithm/RayCrossingCounterDD.h b/include/geos/algorithm/RayCrossingCounterDD.h
index 2328ab3..d7ba41e 100644
--- a/include/geos/algorithm/RayCrossingCounterDD.h
+++ b/include/geos/algorithm/RayCrossingCounterDD.h
@@ -22,7 +22,6 @@
 
 #include <geos/export.h>
 #include <geos/geom/Location.h>
-#include <geos/algorithm/ttmath/ttmath.h>
 
 #include <vector>
 
diff --git a/include/geos/algorithm/ttmath/COPYRIGHT b/include/geos/algorithm/ttmath/COPYRIGHT
deleted file mode 100644
index 3111d0b..0000000
--- a/include/geos/algorithm/ttmath/COPYRIGHT
+++ /dev/null
@@ -1,28 +0,0 @@
-Copyright (c) 2006-2017, Tomasz Sowa
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions are met:
-
- * Redistributions of source code must retain the above copyright notice,
-   this list of conditions and the following disclaimer.
-   
- * Redistributions in binary form must reproduce the above copyright
-   notice, this list of conditions and the following disclaimer in the
-   documentation and/or other materials provided with the distribution.
-   
- * Neither the name Tomasz Sowa nor the names of contributors to this
-   project may be used to endorse or promote products derived
-   from this software without specific prior written permission.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
-LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
-THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/include/geos/algorithm/ttmath/Makefile.am b/include/geos/algorithm/ttmath/Makefile.am
deleted file mode 100644
index e60a3bf..0000000
--- a/include/geos/algorithm/ttmath/Makefile.am
+++ /dev/null
@@ -1,24 +0,0 @@
-#
-# This file is part of project GEOS (http://trac.osgeo.org/geos/)
-#
-SUBDIRS =
-
-EXTRA_DIST =
-
-geosdir = $(includedir)/geos/algorithm/ttmath
-
-geos_HEADERS = \
-	ttmath.h \
-	ttmathbig.h \
-	ttmathdec.h \
-	ttmathint.h \
-	ttmathmisc.h \
-	ttmathobjects.h \
-	ttmathparser.h \
-	ttmaththreads.h \
-	ttmathtypes.h \
-	ttmathuint.h \
-	ttmathuint_noasm.h \
-	ttmathuint_x86.h \
-	ttmathuint_x86_64.h \
-	ttmathuint_x86_64_msvc.asm
diff --git a/include/geos/algorithm/ttmath/README b/include/geos/algorithm/ttmath/README
deleted file mode 100644
index ea5bc1c..0000000
--- a/include/geos/algorithm/ttmath/README
+++ /dev/null
@@ -1,23 +0,0 @@
-A bignum library for C++
-
-TTMath is a small library which allows one to perform arithmetic operations
-with big unsigned integer, big signed integer and big floating point numbers.
-It provides standard mathematical operations like adding, subtracting,
-multiplying, dividing. With the library also goes a mathematical parser to
-help you solving mathematical expressions.
-
-TTMath is developed under the BSD licence which means that it is free for
-both personal and commercial use.
-
-The main goal of the library is to allow one to use big values in the same
-way as the standard types like int or float. It does not need to be compiled
-first because the whole library is written as the C++ templates. This means
-only C++ developers can use this library and one thing they have to do is
-to use 'include' directive of the preprocessor. How big the values can be
-is set at compile time.
-
-Author: Tomasz Sowa <t.sowa at ttmath.org>
-WWW:    http://www.ttmath.org
-
-Contributors:
-Christian Kaiser <chk at online.de>
diff --git a/include/geos/algorithm/ttmath/ttmath.h b/include/geos/algorithm/ttmath/ttmath.h
deleted file mode 100644
index 94630a7..0000000
--- a/include/geos/algorithm/ttmath/ttmath.h
+++ /dev/null
@@ -1,2880 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-
-#ifndef headerfilettmathmathtt
-#define headerfilettmathmathtt
-
-/*!
-	\file ttmath.h
-    \brief Mathematics functions.
-*/
-
-#ifdef _MSC_VER
-//warning C4127: conditional expression is constant
-#pragma warning( disable: 4127 )
-//warning C4702: unreachable code
-#pragma warning( disable: 4702 )
-//warning C4800: forcing value to bool 'true' or 'false' (performance warning)
-#pragma warning( disable: 4800 )
-#endif
-
-
-#include "ttmathbig.h"
-#include "ttmathobjects.h"
-
-
-namespace ttmath
-{
-	/*
- 	 *
-	 *  functions defined here are used only with Big<> types
-	 *
-	 *
-	 */
-
-
-	/*
- 	 *
-	 *  functions for rounding
-	 *
-	 *
-	 */
-
-
-	/*!
-		this function skips the fraction from x
-
-		samples
-		-  2.2  = 2
-		-  2.7  = 2
-		-  -2.2 = 2
-		-  -2.7 = 2
-	*/
-	template<class ValueType>
-	ValueType SkipFraction(const ValueType & x)
-	{
-		ValueType result( x );
-		result.SkipFraction();
-
-	return result;
-	}
-
-
-	/*!
-		this function rounds to the nearest integer value
-
-		samples
-		-  2.2  = 2
-		-  2.7  = 3
-		-  -2.2 = -2
-		-  -2.7 = -3
-	*/
-	template<class ValueType>
-	ValueType Round(const ValueType & x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType result( x );
-		uint c = result.Round();
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return result;
-	}
-
-
-
-	/*!
-		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
-	*/
-	template<class ValueType>
-	ValueType Ceil(const ValueType & x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType result(x);
-		uint c = 0;
-
-		result.SkipFraction();
-
-		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();
-
-				c += result.Add(one);
-			}
-		}
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return result;	
-	}
-
-
-	/*!
-		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
-	*/
-	template<class ValueType>
-	ValueType Floor(const ValueType & x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType result(x);
-		uint c = 0;
-
-		result.SkipFraction();
-
-		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();
-
-				c += result.Sub(one);
-			}
-		}
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return result;	
-	}
-
-
-
-	/*
- 	 *
-	 *  logarithms and the exponent
-	 *
-	 *
-	 */
-
-	
-	/*!
-		this function calculates the natural logarithm (logarithm with the base 'e')
-	*/
-	template<class ValueType>
-	ValueType Ln(const ValueType & x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType result;
-		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 function calculates the logarithm
-	*/
-	template<class ValueType>
-	ValueType Log(const ValueType & x, const ValueType & base, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err ) *err = err_improper_argument;
-			return x;
-		}
-
-		if( base.IsNan() )
-		{
-			if( err ) *err = err_improper_argument;
-			return base;
-		}
-
-		ValueType result;
-		uint state = result.Log(x, base);
-
-		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 function calculates the expression e^x
-	*/
-	template<class ValueType>
-	ValueType Exp(const ValueType & x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType result;
-		uint c = result.Exp(x);
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return result;
-	}
-
-
-	/*!
-	*
-	*	trigonometric functions
-	*
-	*/
-
-
-	/*
-		this namespace consists of auxiliary functions
-		(something like 'private' in a class)
-
-		this is excluded from doxygen documentation
-		(option EXCLUDE_SYMBOLS in doxygen.cfg)
-	*/
-	namespace auxiliaryfunctions
-	{
-
-	/*!
-		an auxiliary function for calculating the Sine
-		(you don't have to call this function) 
-	*/
-	template<class ValueType>
-	uint PrepareSin(ValueType & x, bool & change_sign)
-	{
-	ValueType temp;
-
-		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();
-		
-		if( x.Mod(temp) )
-			return 1;
-		
-
-		// 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;
-		}
-
-	return 0;
-	}
-
-	
-	/*!
-		an auxiliary function for calculating the Sine
-		(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!) ...
-	*/
-	template<class ValueType>
-	ValueType Sin0pi05(const ValueType & x)
-	{
-	ValueType result;
-	ValueType numerator, denominator;
-	ValueType d_numerator, d_denominator;
-	ValueType one, temp, old_result;
-
-		// 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
-			ValueType pi05;
-			pi05.Set05Pi();
-
-			temp = x;
-			temp.Sub( pi05 );
-			d_numerator = temp;
-			d_numerator.Mul( temp );
-
-			d_denominator = one;
-		}
-
-		uint c = 0;
-		bool addition = false;
-
-		old_result = result;
-		for(uint i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
-		{
-			// 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
-				// (then we only break our calculations)
-				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;
-	}
-
-	} // namespace auxiliaryfunctions
-
-
-
-	/*!
-		this function calculates the Sine
-	*/
-	template<class ValueType>
-	ValueType Sin(ValueType x, ErrorCode * err = 0)
-	{
-	using namespace auxiliaryfunctions;
-
-	ValueType one, result;
-	bool change_sign;	
-	
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		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
-			
-			// result has NaN flag set by default
-
-			if( err )
-				*err = err_overflow; // maybe another error code? err_improper_argument?
-
-		return result; // NaN is set by default
-		}
-
-		result = Sin0pi05( x );
-	
-		one.SetOne();
-
-		// after calculations there can be small distortions in the result
-		if( result > one )
-			result = one;
-		else
-		if( result.IsSign() )
-			// we've calculated the sin from <0, pi/2> and the result
-			// should be positive
-			result.SetZero();
-
-		if( change_sign )
-			result.ChangeSign();	
-		
-	return result;
-	}
-
-	
-	/*!
-		this function calulates the Cosine
-		we're using the formula cos(x) = sin(x + PI/2)
-	*/
-	template<class ValueType>
-	ValueType Cos(ValueType x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType pi05;
-		pi05.Set05Pi();
-
-		uint c = x.Add( pi05 );
-
-		if( c )
-		{
-			if( err )
-				*err = err_overflow;
-	
-		return ValueType(); // result is undefined (NaN is set by default)
-		}
-
-	return Sin(x, err);
-	}
-	
-
-	/*!
-		this function calulates the Tangent
-		we're using the formula tan(x) = sin(x) / cos(x)
-
-		it takes more time than calculating the Tan directly
-		from for example Taylor series but should be a bit preciser
-		because Tan receives its values from -infinity to +infinity
-		and when we calculate it from any series then we can make
-		a greater mistake than calculating 'sin/cos'
-	*/
-	template<class ValueType>
-	ValueType Tan(const ValueType & x, ErrorCode * err = 0)
-	{
-		ValueType result = Cos(x, err);
-		
-		if( err && *err != err_ok )
-			return result;
-
-		if( result.IsZero() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			result.SetNan();
-
-		return result;
-		}
-
-	return Sin(x, err) / result;
-	}
-
-
-	/*!
-		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
-		we're using the formula tan(x) = cos(x) / sin(x)
-
-		(why do we make it in this way? 
-		look at information in Tan() function)
-	*/
-	template<class ValueType>
-	ValueType Cot(const ValueType & x, ErrorCode * err = 0)
-	{
-		ValueType result = Sin(x, err);
-
-		if( err && *err != err_ok )
-			return result;
-
-		if( result.IsZero() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			result.SetNan();
-
-		return result;
-		}
-	
-	return Cos(x, err) / result;
-	}
-
-
-	/*!
-		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);
-	}
-
-
-	/*
- 	 *
-	 *  inverse trigonometric functions
-	 *
-	 *
-	 */
-
-	namespace auxiliaryfunctions
-	{
-
-	/*!
-		an auxiliary function for calculating the Arc Sine
-
-		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;
-	}
-
-
-
-	/*!
-		an auxiliary function for calculating the Arc Sine
-
-		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;
-	}
-
-
-	} // namespace auxiliaryfunctions
-
-
-	/*!
-		this function calculates the Arc Sine
-		x is from <-1,1>
-	*/
-	template<class ValueType>
-	ValueType ASin(ValueType x, ErrorCode * err = 0)
-	{
-	using namespace auxiliaryfunctions;
-
-		ValueType result, one;
-		one.SetOne();
-		bool change_sign = false;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		if( x.GreaterWithoutSignThan(one) )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			return result; // NaN is set by default
-		}
-
-		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;
-	}
-
-
-	/*!
-		this function calculates the Arc Cosine
-
-		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();
-		temp.Sub(ASin(x, err));
-
-	return temp;
-	}
-
-
-
-	namespace auxiliaryfunctions
-	{
-
-	/*!
-		an auxiliary function for calculating the Arc Tangent
-
-		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;
-	}
-
-
-	/*!
-		an auxiliary function for calculating the Arc Tangent
-
-		where x is in <0 ; 1>
-	*/
-	template<class ValueType>
-	ValueType ATan01(const ValueType & x)
-	{
-		ValueType half;
-		half.Set05();
-
-		/*
-			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);
-
-		n.Set05Pi();
-		n.exponent.SubOne(); // =pi/4
-		result.Add(n);
-
-	return result;
-	}
-
-
-	/*!
-		an auxiliary function for calculating the Arc Tangent
-		where x > 1
-
-		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
-
-
-	/*!
-		this function calculates the Arc Tangent
-	*/
-	template<class ValueType>
-	ValueType ATan(ValueType x)
-	{
-	using namespace auxiliaryfunctions;
-
-		ValueType one, result;
-		one.SetOne();
-		bool change_sign = false;
-
-		if( x.IsNan() )
-			return x;
-
-		// 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;
-	}
-
-
-	/*!
-		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
-	
-		we're using the formula:
-		actan(x) = pi/2 - atan(x)
-	*/
-	template<class ValueType>
-	ValueType ACot(const ValueType & x)
-	{
-	ValueType result;
-
-		result.Set05Pi();
-		result.Sub(ATan(x));
-
-	return result;
-	}
-
-
-	/*!
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		if( x.IsZero() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			return ValueType(); // NaN is set by default
-		}
-
-		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);
-	}
-
-
-	/*
- 	 *
-	 *  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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType xx(x), one, result;
-		uint c = 0;
-		one.SetOne();
-
-		if( x < one )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return result; // NaN is set by default
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType nominator(x), denominator, one, result;
-		uint c = 0;
-		one.SetOne();
-
-		if( !x.SmallerWithoutSignThan(one) )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return result; // NaN is set by default
-		}
-
-		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)
-	{
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x; // NaN
-		}
-
-		ValueType nominator(x), denominator(x), one, result;
-		uint c = 0;
-		one.SetOne();
-
-		if( !x.GreaterWithoutSignThan(one) )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return result; // NaN is set by default
-		}
-
-		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);
-	}
-
-
-
-
-
-	/*
- 	 *
-	 *  functions for converting between degrees, radians and gradians
-	 *
-	 *
-	 */
-
-
-	/*!
-		this function converts degrees to radians
-		
-		it returns: x * pi / 180
-	*/
-	template<class ValueType>
-	ValueType DegToRad(const ValueType & x, ErrorCode * err = 0)
-	{
-	ValueType result, temp;
-	uint c = 0;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		result = x;
-
-		// 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);
-
-		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;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		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)
-
-		samples:
-
-		-  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;
-
-		if( d.IsNan() || m.IsNan() || s.IsNan() || m.IsSign() || s.IsSign() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			delimiter.SetZeroNan(); // not needed, only to get rid of GCC warning about an uninitialized variable
-
-		return delimiter;
-		}
-
-		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);
-	}
-
-
-	/*!
-		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;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		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;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		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;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		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;
-
-		if( x.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return x;
-		}
-
-		result = x;
-
-		temp = 180;
-		c += result.Mul(temp);
-
-		temp = 200;
-		c += result.Div(temp);
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return result;
-	}
-
-
-
-
-	/*
- 	 *
-	 *  another functions
-	 *
-	 *
-	 */
-
-
-	/*!
-		this function calculates the square root
-
-		Sqrt(9) = 3
-	*/
-	template<class ValueType>
-	ValueType Sqrt(ValueType x, ErrorCode * err = 0)
-	{
-		if( x.IsNan() || x.IsSign() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			x.SetNan();
-
-		return x;
-		}
-
-		uint c = x.Sqrt();
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return x;
-	}
-
-
-
-	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;
-
-			x.SetNan();
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	template<class ValueType>
-	bool RootCheckIndexZero(ValueType & x, const ValueType & index, ErrorCode * err)
-	{
-		if( index.IsZero() )
-		{
-			if( x.IsZero() )
-			{
-				// there isn't root(0;0) - we assume it's not defined
-				if( err )
-					*err = err_improper_argument;
-
-				x.SetNan();
-
-			return true;
-			}
-	
-			// root(x;0) is 1 (if x!=0)
-			x.SetOne();
-
-			if( err )
-				*err = err_ok;
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	template<class ValueType>
-	bool RootCheckIndexOne(const ValueType & index, ErrorCode * err)
-	{
-		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 RootCheckIndexTwo(ValueType & x, const ValueType & index, ErrorCode * err)
-	{
-		if( index == 2 )
-		{
-			x = Sqrt(x, err);
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	template<class ValueType>
-	bool RootCheckIndexFrac(ValueType & x, const ValueType & index, ErrorCode * err)
-	{
-		if( !index.IsInteger() )
-		{
-			// index must be integer
-			if( err )
-				*err = err_improper_argument;
-
-			x.SetNan();
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	template<class ValueType>
-	bool RootCheckXZero(ValueType & x, ErrorCode * err)
-	{
-		if( x.IsZero() )
-		{
-			// root(0;index) is zero (if index!=0)
-			// RootCheckIndexZero() must be called beforehand
-			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;
-
-				x.SetNan();
-
-				return true;
-			}
-		}
-
-	return false;
-	}
-
-
-	template<class ValueType>
-	uint RootCorrectInteger(ValueType & old_x, ValueType & x, const ValueType & index)
-	{
-		if( !old_x.IsInteger() || x.IsInteger() || !index.exponent.IsSign() )
-			return 0;
-
-		// old_x is integer,
-		// x is not integer,
-		// index is relatively small (index.exponent<0 or index.exponent<=0)
-		// (because we're using a special powering algorithm Big::PowUInt())
-
-		uint c = 0;
-
-		ValueType temp(x);
-		c += temp.Round();
-
-		ValueType temp_round(temp);
-		c += temp.PowUInt(index);
-
-		if( temp == old_x )
-			x = temp_round;
-
-	return (c==0)? 0 : 1;
-	}
-
-
-
-	} // namespace auxiliaryfunctions 
-
-
-
-	/*!
-		caltulate the index'th 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;
-
-		if( x.IsNan() || index.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			x.SetNan();
-
-		return x;
-		}
-
-		if( RootCheckIndexSign(x, index, err) ) return x;
-		if( RootCheckIndexZero(x, index, err) ) return x;
-		if( RootCheckIndexOne (   index, err) ) return x;
-		if( RootCheckIndexTwo (x, index, err) ) return x;
-		if( RootCheckIndexFrac(x, index, err) ) return x;
-		if( RootCheckXZero    (x,        err) ) return x;
-
-		// index integer and index!=0
-		// x!=0
-
-		ValueType old_x(x);
-		bool change_sign;
-
-		if( RootCheckIndex(x, index, err, &change_sign ) ) return x;
-
-		ValueType temp;
-		uint c = 0;
-
-		// we're using the formula: root(x ; n) = exp( ln(x) / n )
-		c += temp.Ln(x);
-		c += temp.Div(index);
-		c += x.Exp(temp);
-
-		if( change_sign )
-		{
-			// x is different from zero
-			x.SetSign();
-		}
-
-		c += RootCorrectInteger(old_x, x, index);
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return x;
-	}
-
-
-
-	/*!
-		absolute value of x
-
-		samples:
-		-  -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
-
-		samples:
-		-  -2 = -1
-		-  0 = 0
-		-  10 = 1
-	*/
-	template<class ValueType>
-	ValueType Sgn(ValueType x)
-	{
-		x.Sgn();
-
-	return x;
-	}
-
-
-	/*!
-		the remainder from a division
-
-		samples:
-		-  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)
-		-  mod( 12.6 ; -3) =  0.6
-		-  mod(-12.6 ; -3) = -0.6
-	*/
-	template<class ValueType>
-	ValueType Mod(ValueType a, const ValueType & b, ErrorCode * err = 0)
-	{
-		if( a.IsNan() || b.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			a.SetNan();
-
-		return a;
-		}
-
-		uint c = a.Mod(b);
-
-		if( err )
-			*err = c ? err_overflow : err_ok;
-
-	return a;
-	}
-
-
-
-	namespace auxiliaryfunctions
-	{
-
-	/*!
-		this function is used to store factorials in a given container
-		'more' means how many values should be added at the end
-
-		sample:
-
-			std::vector<ValueType> fact;
-			SetFactorialSequence(fact, 3);
-			// now the container has three values: 1  1  2
-
-			SetFactorialSequence(fact, 2);
-			// now the container has five values:  1  1  2  6  24
-	*/
-	template<class ValueType>
-	void SetFactorialSequence(std::vector<ValueType> & fact, uint more = 20)
-	{
-		if( more == 0 )
-			more = 1;
-
-		uint start = static_cast<uint>(fact.size());
-		fact.resize(fact.size() + more);
-
-		if( start == 0 )
-		{
-			fact[0] = 1;
-			++start;
-		}
-
-		for(uint i=start ; i<fact.size() ; ++i)
-		{
-			fact[i] = fact[i-1];
-			fact[i].MulInt(i);
-		}
-	}
-
-
-	/*!
-		an auxiliary function used to calculate Bernoulli numbers
-
-		this function returns a sum:
-
-			sum(m) = sum_{k=0}^{m-1} {2^k * (m k) * B(k)}    k in [0, m-1]   (m k) means binomial coefficient = (m! / (k! * (m-k)!))
-
-		you should have sufficient factorials in cgamma.fact
-		(cgamma.fact should have at least m items)
-
-		n_ should be equal 2
-	*/
-	template<class ValueType>
-	ValueType SetBernoulliNumbersSum(CGamma<ValueType> & cgamma, const ValueType & n_, uint m,
-									  const volatile StopCalculating * stop = 0)
-	{
-	ValueType k_, temp, temp2, temp3, sum;
-
-		sum.SetZero();
-		
-		for(uint k=0 ; k<m ; ++k)			// k<m means k<=m-1
-		{
-			if( stop && (k & 15)==0 )		// means: k % 16 == 0
-				if( stop->WasStopSignal() )
-					return ValueType();		// NaN
-
-			if( k>1 && (k & 1) == 1 )		// for that k the Bernoulli number is zero
-				continue;
-
-			k_ = k;
-
-			temp = n_;				// n_ is equal 2
-			temp.Pow(k_);
-			// temp = 2^k
-
-			temp2 = cgamma.fact[m];
-			temp3 = cgamma.fact[k];
-			temp3.Mul(cgamma.fact[m-k]);
-			temp2.Div(temp3);
-			// temp2 = (m k) = m! / ( k! * (m-k)! )
-
-			temp.Mul(temp2);
-			temp.Mul(cgamma.bern[k]);
-
-			sum.Add(temp);
-			// sum += 2^k * (m k) * B(k)
-
-			if( sum.IsNan() )
-				break;
-		}
-
-	return sum;
-	}
-
-
-	/*!
-		an auxiliary function used to calculate Bernoulli numbers
-		start is >= 2
-
-		we use the recurrence formula:
-
-			B(m) = 1 / (2*(1 - 2^m)) * sum(m)
-			where sum(m) is calculated by SetBernoulliNumbersSum()
-	*/
-	template<class ValueType>
-	bool SetBernoulliNumbersMore(CGamma<ValueType> & cgamma, uint start, const volatile StopCalculating * stop = 0)
-	{
-	ValueType denominator, temp, temp2, temp3, m_, sum, sum2, n_, k_;
-
-		const uint n = 2;
-		n_ = n;
-
-		// start is >= 2
-		for(uint m=start ; m<cgamma.bern.size() ; ++m)
-		{
-			if( (m & 1) == 1 )
-			{
-				cgamma.bern[m].SetZero();
-			}
-			else
-			{
-				m_ = m;
-
-				temp = n_;				// n_ = 2
-				temp.Pow(m_);
-				// temp = 2^m
-
-				denominator.SetOne();
-				denominator.Sub(temp);
-				if( denominator.exponent.AddOne() ) // it means: denominator.MulInt(2)
-					denominator.SetNan();
-
-				// denominator = 2 * (1 - 2^m)
-
-				cgamma.bern[m] = SetBernoulliNumbersSum(cgamma, n_, m, stop);
-
-				if( stop && stop->WasStopSignal() )
-				{
-					cgamma.bern.resize(m);		// valid numbers are in [0, m-1]
-					return false;
-				}
-
-				cgamma.bern[m].Div(denominator);
-			}
-		}
-
-	return true;
-	}
-
-
-	/*!
-		this function is used to calculate Bernoulli numbers,
-		returns false if there was a stop signal,
-		'more' means how many values should be added at the end
-
-		sample:
-
-			typedef Big<1,2> MyBig;
-			CGamma<MyBig> cgamma;
-			SetBernoulliNumbers(cgamma, 3);
-			// now we have three first Bernoulli numbers:  1  -0.5  0.16667
-			
-			SetBernoulliNumbers(cgamma, 4);
-			// now we have 7 Bernoulli numbers:  1  -0.5  0.16667   0   -0.0333   0   0.0238
-	*/
-	template<class ValueType>
-	bool SetBernoulliNumbers(CGamma<ValueType> & cgamma, uint more = 20, const volatile StopCalculating * stop = 0)
-	{
-		if( more == 0 )
-			more = 1;
-
-		uint start = static_cast<uint>(cgamma.bern.size());
-		cgamma.bern.resize(cgamma.bern.size() + more);
-
-		if( start == 0 )
-		{
-			cgamma.bern[0].SetOne();
-			++start;
-		}
-
-		if( cgamma.bern.size() == 1 )
-			return true;
-
-		if( start == 1 )
-		{
-			cgamma.bern[1].Set05();
-			cgamma.bern[1].ChangeSign();
-			++start;
-		}
-
-		// we should have sufficient factorials in cgamma.fact
-		if( cgamma.fact.size() < cgamma.bern.size() )
-			SetFactorialSequence(cgamma.fact, static_cast<uint>(cgamma.bern.size() - cgamma.fact.size()));
-
-
-	return SetBernoulliNumbersMore(cgamma, start, stop);
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		we calculate a sum:
-
-		   sum(n) = sum_{m=2} { B(m) / ( (m^2 - m) * n^(m-1) )  } = 1/(12*n) - 1/(360*n^3) + 1/(1260*n^5) + ...
-
-	    B(m) means a mth Bernoulli number
-		the sum starts from m=2, we calculate as long as the value will not change after adding a next part
-	*/
-	template<class ValueType>
-	ValueType GammaFactorialHighSum(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err,
-									const volatile StopCalculating * stop)
-	{
-	ValueType temp, temp2, denominator, sum, oldsum;
-
-		sum.SetZero();
-
-		for(uint m=2 ; m<TTMATH_ARITHMETIC_MAX_LOOP ; m+=2)
-		{
-			if( stop && (m & 3)==0 ) // (m & 3)==0 means: (m % 4)==0
-				if( stop->WasStopSignal() )
-				{
-					err = err_interrupt;
-					return ValueType(); // NaN
-				}
-
-			temp = (m-1);
-			denominator = n;
-			denominator.Pow(temp);
-			// denominator = n ^ (m-1)
-
-			temp = m;
-			temp2 = temp;
-			temp.Mul(temp2);
-			temp.Sub(temp2);
-			// temp = m^2 - m
-
-			denominator.Mul(temp);
-			// denominator = (m^2 - m) * n ^ (m-1)
-
-			if( m >= cgamma.bern.size() )
-			{
-				if( !SetBernoulliNumbers(cgamma, m - cgamma.bern.size() + 1 + 3, stop) ) // 3 more than needed
-				{
-					// there was the stop signal
-					err = err_interrupt;
-					return ValueType(); // NaN
-				}
-			}
-
-			temp = cgamma.bern[m];
-			temp.Div(denominator);
-
-			oldsum = sum;
-			sum.Add(temp);
-
-			if( sum.IsNan() || oldsum==sum )
-				break;
-		}
-
-	return sum;
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		we calculate a helper function GammaFactorialHigh() by using Stirling's series:
-
-			n! = (n/e)^n * sqrt(2*pi*n) * exp( sum(n) )
-
-		where n is a real number (not only an integer) and is sufficient large (greater than TTMATH_GAMMA_BOUNDARY)
-		and sum(n) is calculated by GammaFactorialHighSum()
-	*/
-	template<class ValueType>
-	ValueType GammaFactorialHigh(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err,
-								 const volatile StopCalculating * stop)
-	{
-	ValueType temp, temp2, temp3, denominator, sum;
-
-		temp.Set2Pi();
-		temp.Mul(n);
-		temp2 = Sqrt(temp);
-		// temp2 = sqrt(2*pi*n)
-
-		temp = n;
-		temp3.SetE();
-		temp.Div(temp3);
-		temp.Pow(n);
-		// temp = (n/e)^n
-
-		sum = GammaFactorialHighSum(n, cgamma, err, stop);
-		temp3.Exp(sum);
-		// temp3 = exp(sum)
-
-		temp.Mul(temp2);
-		temp.Mul(temp3);
-
-	return temp;
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		Gamma(x) = GammaFactorialHigh(x-1)
-	*/
-	template<class ValueType>
-	ValueType GammaPlusHigh(ValueType n, CGamma<ValueType> & cgamma, ErrorCode & err, const volatile StopCalculating * stop)
-	{
-	ValueType one;
-
-		one.SetOne();
-		n.Sub(one);
-
-	return GammaFactorialHigh(n, cgamma, err, stop);
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-	
-		we use this function when n is integer and a small value (from 0 to TTMATH_GAMMA_BOUNDARY]
-		we use the formula:
-
-			gamma(n) = (n-1)! = 1 * 2 * 3 * ... * (n-1)
-	*/
-	template<class ValueType>
-	ValueType GammaPlusLowIntegerInt(uint n, CGamma<ValueType> & cgamma)
-	{
-		TTMATH_ASSERT( n > 0 )
-
-		if( n - 1 < static_cast<uint>(cgamma.fact.size()) )
-			return cgamma.fact[n - 1];
-
-		ValueType res;
-		uint start = 2;
-
-		if( cgamma.fact.size() < 2 )
-		{
-			res.SetOne();
-		}
-		else
-		{
-			start = static_cast<uint>(cgamma.fact.size());
-			res   = cgamma.fact[start-1];
-		}
-
-		for(uint i=start ; i<n ; ++i)
-			res.MulInt(i);
-
-	return res;
-	}
-	
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		we use this function when n is integer and a small value (from 0 to TTMATH_GAMMA_BOUNDARY]
-	*/
-	template<class ValueType>
-	ValueType GammaPlusLowInteger(const ValueType & n, CGamma<ValueType> & cgamma)
-	{
-	sint n_;
-
-		n.ToInt(n_);
-
-	return GammaPlusLowIntegerInt(n_, cgamma);
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		we use this function when n is a small value (from 0 to TTMATH_GAMMA_BOUNDARY]
-		we use a recurrence formula:
-
-		   gamma(z+1) = z * gamma(z)
-		   then: gamma(z) = gamma(z+1) / z
-
-		samples:
-		-  gamma(3.89) = gamma(2001.89) / ( 3.89 * 4.89 * 5.89 * ... * 1999.89 * 2000.89 )
-	*/
-	template<class ValueType>
-	ValueType GammaPlusLow(ValueType n, CGamma<ValueType> & cgamma, ErrorCode & err, const volatile StopCalculating * stop)
-	{
-	ValueType one, denominator, temp, boundary;
-
-		if( n.IsInteger() )
-			return GammaPlusLowInteger(n, cgamma);
-
-		one.SetOne();
-		denominator = n;
-		boundary    = TTMATH_GAMMA_BOUNDARY;
-
-		while( n < boundary )
-		{
-			n.Add(one);
-			denominator.Mul(n);
-		}
-
-		n.Add(one);
-
-		// now n is sufficient big
-		temp = GammaPlusHigh(n, cgamma, err, stop);
-		temp.Div(denominator);
-
-	return temp;
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-	*/
-	template<class ValueType>
-	ValueType GammaPlus(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err, const volatile StopCalculating * stop)
-	{
-		if( n > TTMATH_GAMMA_BOUNDARY )
-			return GammaPlusHigh(n, cgamma, err, stop);
-
-	return GammaPlusLow(n, cgamma, err, stop);
-	}
-
-
-	/*!
-		an auxiliary function used to calculate the Gamma() function
-
-		this function is used when n is negative
-		we use the reflection formula:
-		   gamma(1-z) * gamma(z) = pi / sin(pi*z)
-		   then: gamma(z) = pi / (sin(pi*z) * gamma(1-z))
-
-	*/
-	template<class ValueType>
-	ValueType GammaMinus(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err, const volatile StopCalculating * stop)
-	{
-	ValueType pi, denominator, temp, temp2;
-
-		if( n.IsInteger() )
-		{
-			// gamma function is not defined when n is negative and integer
-			err = err_improper_argument;
-			return temp; // NaN
-		}
-
-		pi.SetPi();
-
-		temp = pi;
-		temp.Mul(n);
-		temp2 = Sin(temp);
-		// temp2 = sin(pi * n)
-
-		temp.SetOne();
-		temp.Sub(n);
-		temp = GammaPlus(temp, cgamma, err, stop);
-		// temp = gamma(1 - n)
-
-		temp.Mul(temp2);
-		pi.Div(temp);
-
-	return pi;
-	}
-
-	} // namespace auxiliaryfunctions
-
-
-
-	/*!
-		this function calculates the Gamma function
-
-		it's multithread safe, you should create a CGamma<> object and use it whenever you call the Gamma()
-		e.g.
-
-			typedef Big<1,2> MyBig;
-			MyBig x=234, y=345.53;
-			CGamma<MyBig> cgamma;
-			std::cout << Gamma(x, cgamma) << std::endl;
-			std::cout << Gamma(y, cgamma) << std::endl;
-
-		in the CGamma<> object the function stores some coefficients (factorials, Bernoulli numbers),
-		and they will be reused in next calls to the function
-
-		each thread should have its own CGamma<> object, and you can use these objects with Factorial() function too
-	*/
-	template<class ValueType>
-	ValueType Gamma(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode * err = 0,
-					const volatile StopCalculating * stop = 0)
-	{
-	using namespace auxiliaryfunctions;
-
-	ValueType result;
-	ErrorCode err_tmp;
-
-		if( n.IsNan() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-		return n;
-		}
-
-		if( cgamma.history.Get(n, result, err_tmp) )
-		{
-			if( err )
-				*err = err_tmp;
-
-			return result;
-		}
-
-		err_tmp = err_ok;
-
-		if( n.IsSign() )
-		{
-			result = GammaMinus(n, cgamma, err_tmp, stop);
-		}
-		else
-		if( n.IsZero() )
-		{
-			err_tmp = err_improper_argument;
-			result.SetNan();
-		}
-		else
-		{
-			result = GammaPlus(n, cgamma, err_tmp, stop);
-		}
-
-		if( result.IsNan() && err_tmp==err_ok )
-			err_tmp = err_overflow;
-
-		if( err )
-			*err = err_tmp;
-
-		if( stop && !stop->WasStopSignal() )
-			cgamma.history.Add(n, result, err_tmp);
-
-	return result;
-	}
-
-
-	/*!
-		this function calculates the Gamma function
-
-		note: this function should be used only in a single-thread environment
-	*/
-	template<class ValueType>
-	ValueType Gamma(const ValueType & n, ErrorCode * err = 0)
-	{
-	// warning: this static object is not thread safe
-	static CGamma<ValueType> cgamma;
-
-	return Gamma(n, cgamma, err);
-	}
-
-
-
-	namespace auxiliaryfunctions
-	{
-
-	/*!
-		an auxiliary function for calculating the factorial function
-
-		we use the formula:
-		   x! = gamma(x+1)
-	*/
-	template<class ValueType>
-	ValueType Factorial2(ValueType x,
-						 CGamma<ValueType> * cgamma = 0,
-						 ErrorCode * err = 0,
-						 const volatile StopCalculating * stop = 0)
-	{
-	ValueType result, one;
-
-		if( x.IsNan() || x.IsSign() || !x.IsInteger() )
-		{
-			if( err )
-				*err = err_improper_argument;
-
-			x.SetNan();
-
-		return x;
-		}
-
-		one.SetOne();
-		x.Add(one);
-
-		if( cgamma )
-			return Gamma(x, *cgamma, err, stop);
-
-	return Gamma(x, err);
-	}
-	
-	} // namespace auxiliaryfunctions
-
-
-
-	/*!
-		the factorial from given 'x'
-		e.g.
-		Factorial(4) = 4! = 1*2*3*4
-
-		it's multithread safe, you should create a CGamma<> object and use it whenever you call the Factorial()
-		e.g.
-
-			typedef Big<1,2> MyBig;
-			MyBig x=234, y=54345;
-			CGamma<MyBig> cgamma;
-			std::cout << Factorial(x, cgamma) << std::endl;
-			std::cout << Factorial(y, cgamma) << std::endl;
-
-		in the CGamma<> object the function stores some coefficients (factorials, Bernoulli numbers),
-		and they will be reused in next calls to the function
-
-		each thread should have its own CGamma<> object, and you can use these objects with Gamma() function too
-	*/
-	template<class ValueType>
-	ValueType Factorial(const ValueType & x, CGamma<ValueType> & cgamma, ErrorCode * err = 0,
-						const volatile StopCalculating * stop = 0)
-	{
-		return auxiliaryfunctions::Factorial2(x, &cgamma, err, stop);
-	}
-
-
-	/*!
-		the factorial from given 'x'
-		e.g.
-		Factorial(4) = 4! = 1*2*3*4
-
-		note: this function should be used only in a single-thread environment
-	*/
-	template<class ValueType>
-	ValueType Factorial(const ValueType & x, ErrorCode * err = 0)
-	{
-		return auxiliaryfunctions::Factorial2(x, (CGamma<ValueType>*)0, err, 0);
-	}
-
-
-	/*!
-		this method prepares some coefficients: factorials and Bernoulli numbers
-		stored in 'fact' and 'bern' objects
-
-		we're defining the method here because we're using Gamma() function which
-		is not available in ttmathobjects.h
-
-		read the doc info in ttmathobjects.h file where CGamma<> struct is declared
-	*/
-	template<class ValueType>
-	void CGamma<ValueType>::InitAll()
-	{
-		ValueType x = TTMATH_GAMMA_BOUNDARY + 1;
-		
-		// history.Remove(x) removes only one object
-		// we must be sure that there are not others objects with the key 'x'
-		while( history.Remove(x) )
-		{
-		}
-
-		// the simplest way to initialize is to call the Gamma function with (TTMATH_GAMMA_BOUNDARY + 1)
-		// when x is larger then fewer coefficients we need
-		Gamma(x, *this);
-	}
-
-
-
-} // namespace
-
-
-/*!
-	this is for convenience for the user
-	he can only use '#include <ttmath/ttmath.h>'
-*/
-#include "ttmathparser.h"
-
-// Dec is not finished yet
-//#include "ttmathdec.h"
-
-
-
-#ifdef _MSC_VER
-//warning C4127: conditional expression is constant
-#pragma warning( default: 4127 )
-//warning C4702: unreachable code
-#pragma warning( default: 4702 )
-//warning C4800: forcing value to bool 'true' or 'false' (performance warning)
-#pragma warning( default: 4800 )
-#endif
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathbig.h b/include/geos/algorithm/ttmath/ttmathbig.h
deleted file mode 100644
index bbbbda0..0000000
--- a/include/geos/algorithm/ttmath/ttmathbig.h
+++ /dev/null
@@ -1,6093 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/*
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef headerfilettmathbig
-#define headerfilettmathbig
-
-/*!
-	\file ttmathbig.h
-    \brief A Class for representing floating point numbers
-*/
-
-#include "ttmathint.h"
-#include "ttmaththreads.h"
-
-#include <iostream>
-
-#ifdef TTMATH_MULTITHREADS
-#include <signal.h>
-#endif
-
-namespace ttmath
-{
-
-
-/*!
-	\brief Big implements the floating point numbers
-*/
-template <uint exp, uint man>
-class Big
-{
-
-/*
-	value = mantissa * 2^exponent
-
-	-  exponent - an integer value with a sign
-	-  mantissa - an integer value without a sing
-
-	mantissa must be pushed into the left side that is the highest bit from
-	mantissa must be one (of course if there's another value than zero) -- this job
-	(pushing bits into the left side) is doing by Standardizing() method
-
-	for example:
-	if we want to store value one (1) into our Big object we must:
-	-  	set mantissa to 1
-	-  	set exponent to 0
-	-  	set info to 0
-	-  	and call method Standardizing()
-*/
-
-
-public:
-
-Int<exp>  exponent{0};
-UInt<man> mantissa{0};
-unsigned char info{0};
-
-
-/*!
-	Sign
-	the mask of a bit from 'info' which means that there is a sign
-	(when the bit is set)
-*/
-#define TTMATH_BIG_SIGN 128
-
-
-/*!
-	Not a number
-	if this bit is set that there is not a valid number
-*/
-#define TTMATH_BIG_NAN  64
-
-
-/*!
-	Zero
-	if this bit is set that there is value zero
-	mantissa should be zero and exponent should be zero too
-	(the Standardizing() method does this)
-*/
-#define TTMATH_BIG_ZERO  32
-
-
-	/*!
-		this method sets NaN if there was a carry (and returns 1 in such a case)
-
-		c can be 0, 1 or other value different from zero
-	*/
-	uint CheckCarry(uint c)
-	{
-		if( c != 0 )
-		{
-			SetNan();
-			return 1;
-		}
-
-	return 0;
-	}
-
-public:
-
-
-	/*!
-		returning the string represents the currect type of the library
-		we have following types:
-		-  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)
-		-  asm_gcc_32  - with asm code designed for GCC (32 bits)
-		-  asm_vc_64   - with asm for VC (64 bit)
-		-  asm_gcc_64  - with asm for GCC (64 bit)
-		-  no_asm_32   - pure C++ version (32 bit) - without any asm code
-		-  no_asm_64   - pure C++ version (64 bit) - without any asm code
-	*/
-	static const char * LibTypeStr()
-	{
-		return UInt<man>::LibTypeStr();
-	}
-
-
-	/*!
-		returning the currect type of the library
-	*/
-	static LibTypeCode LibType()
-	{
-		return UInt<man>::LibType();
-	}
-
-
-
-	/*!
-		this method moves all bits from mantissa into its left side
-		(suitably changes the exponent) or if the mantissa is zero
-		it sets the exponent to zero as well
-		(and clears the sign bit and sets the zero bit)
-
-		it can return a carry
-		the carry will be when we don't have enough space in the exponent
-
-		you don't have to use this method if you don't change the mantissa
-		and exponent directly
-	*/
-	uint Standardizing()
-	{
-		if( mantissa.IsTheHighestBitSet() )
-		{
-			ClearInfoBit(TTMATH_BIG_ZERO);
-			return 0;
-		}
-
-		if( CorrectZero() )
-			return 0;
-
-		uint comp = mantissa.CompensationToLeft();
-
-	return exponent.Sub( comp );
-	}
-
-
-private:
-
-	/*!
-		if the mantissa is equal zero this method sets exponent to zero and
-		info without the sign
-
-		it returns true if there was the correction
-	*/
-	bool CorrectZero()
-	{
-		if( mantissa.IsZero() )
-		{
-			SetInfoBit(TTMATH_BIG_ZERO);
-			ClearInfoBit(TTMATH_BIG_SIGN);
-			exponent.SetZero();
-
-			return true;
-		}
-		else
-		{
-			ClearInfoBit(TTMATH_BIG_ZERO);
-		}
-
-	return false;
-	}
-
-
-public:
-
-	/*!
-		this method clears a specific bit in the 'info' variable
-
-		bit is one of: TTMATH_BIG_SIGN, TTMATH_BIG_NAN etc.
-	*/
-	void ClearInfoBit(unsigned char bit)
-	{
-		info = info & (unsigned char)(~bit);
-	}
-
-
-	/*!
-		this method sets a specific bit in the 'info' variable
-
-		bit is one of: TTMATH_BIG_SIGN, TTMATH_BIG_NAN etc.
-
-	*/
-	void SetInfoBit(unsigned char bit)
-	{
-		info = info | bit;
-	}
-
-
-	/*!
-		this method returns true if a specific bit in the 'info' variable is set
-
-		bit is one of: TTMATH_BIG_SIGN, TTMATH_BIG_NAN etc.
-	*/
-	bool IsInfoBit(unsigned char bit) const
-	{
-		return (info & bit) != 0;
-	}
-
-
-	/*!
-		this method sets zero
-	*/
-	void SetZero()
-	{
-		info = TTMATH_BIG_ZERO;
-		exponent.SetZero();
-		mantissa.SetZero();
-
-		/*
-			we don't have to compensate zero
-		*/
-	}
-
-
-	/*!
-		this method sets one
-	*/
-	void SetOne()
-	{
-		info = 0;
-		mantissa.SetZero();
-		mantissa.table[man-1] = TTMATH_UINT_HIGHEST_BIT;
-		exponent = -sint(man * TTMATH_BITS_PER_UINT - 1);
-
-		// don't have to Standardize() - the last bit from mantissa is set
-	}
-
-
-	/*!
-		this method sets value 0.5
-	*/
-	void Set05()
-	{
-		SetOne();
-		exponent.SubOne();
-	}
-
-
-	/*!
-		this method sets NaN flag (Not a Number)
-		when this flag is set that means there is no a valid number
-	*/
-	void SetNan()
-	{
-		SetInfoBit(TTMATH_BIG_NAN);
-	}
-
-
-	/*!
-		this method sets NaN flag (Not a Number)
-		also clears the mantissa and exponent (similarly as it would be a zero value)
-	*/
-	void SetZeroNan()
-	{
-		SetZero();
-		SetNan();
-	}
-
-
-	/*!
-		this method swappes this for an argument
-	*/
-	void Swap(Big<exp, man> & ss2)
-	{
-		unsigned char info_temp = info;
-		info = ss2.info;
-		ss2.info = info_temp;
-
-		exponent.Swap(ss2.exponent);
-		mantissa.Swap(ss2.mantissa);
-	}
-
-
-private:
-
-	/*!
-		this method sets the mantissa of the value of pi
-	*/
-	void SetMantissaPi()
-	{
-	// this is a static table which represents the value of Pi (mantissa of it)
-	// (first is the highest word)
-	// we must define this table as 'unsigned int' because
-	// both on 32bit and 64bit platforms this table is 32bit
-	static const unsigned int temp_table[] = {
-		0xc90fdaa2, 0x2168c234, 0xc4c6628b, 0x80dc1cd1, 0x29024e08, 0x8a67cc74, 0x020bbea6, 0x3b139b22,
-		0x514a0879, 0x8e3404dd, 0xef9519b3, 0xcd3a431b, 0x302b0a6d, 0xf25f1437, 0x4fe1356d, 0x6d51c245,
-		0xe485b576, 0x625e7ec6, 0xf44c42e9, 0xa637ed6b, 0x0bff5cb6, 0xf406b7ed, 0xee386bfb, 0x5a899fa5,
-		0xae9f2411, 0x7c4b1fe6, 0x49286651, 0xece45b3d, 0xc2007cb8, 0xa163bf05, 0x98da4836, 0x1c55d39a,
-		0x69163fa8, 0xfd24cf5f, 0x83655d23, 0xdca3ad96, 0x1c62f356, 0x208552bb, 0x9ed52907, 0x7096966d,
-		0x670c354e, 0x4abc9804, 0xf1746c08, 0xca18217c, 0x32905e46, 0x2e36ce3b, 0xe39e772c, 0x180e8603,
-		0x9b2783a2, 0xec07a28f, 0xb5c55df0, 0x6f4c52c9, 0xde2bcbf6, 0x95581718, 0x3995497c, 0xea956ae5,
-		0x15d22618, 0x98fa0510, 0x15728e5a, 0x8aaac42d, 0xad33170d, 0x04507a33, 0xa85521ab, 0xdf1cba64,
-		0xecfb8504, 0x58dbef0a, 0x8aea7157, 0x5d060c7d, 0xb3970f85, 0xa6e1e4c7, 0xabf5ae8c, 0xdb0933d7,
-		0x1e8c94e0, 0x4a25619d, 0xcee3d226, 0x1ad2ee6b, 0xf12ffa06, 0xd98a0864, 0xd8760273, 0x3ec86a64,
-		0x521f2b18, 0x177b200c, 0xbbe11757, 0x7a615d6c, 0x770988c0, 0xbad946e2, 0x08e24fa0, 0x74e5ab31,
-		0x43db5bfc, 0xe0fd108e, 0x4b82d120, 0xa9210801, 0x1a723c12, 0xa787e6d7, 0x88719a10, 0xbdba5b26,
-		0x99c32718, 0x6af4e23c, 0x1a946834, 0xb6150bda, 0x2583e9ca, 0x2ad44ce8, 0xdbbbc2db, 0x04de8ef9,
-		0x2e8efc14, 0x1fbecaa6, 0x287c5947, 0x4e6bc05d, 0x99b2964f, 0xa090c3a2, 0x233ba186, 0x515be7ed,
-		0x1f612970, 0xcee2d7af, 0xb81bdd76, 0x2170481c, 0xd0069127, 0xd5b05aa9, 0x93b4ea98, 0x8d8fddc1,
-		0x86ffb7dc, 0x90a6c08f, 0x4df435c9, 0x34028492, 0x36c3fab4, 0xd27c7026, 0xc1d4dcb2, 0x602646de,
-		0xc9751e76, 0x3dba37bd, 0xf8ff9406, 0xad9e530e, 0xe5db382f, 0x413001ae, 0xb06a53ed, 0x9027d831,
-		0x179727b0, 0x865a8918, 0xda3edbeb, 0xcf9b14ed, 0x44ce6cba, 0xced4bb1b, 0xdb7f1447, 0xe6cc254b,
-		0x33205151, 0x2bd7af42, 0x6fb8f401, 0x378cd2bf, 0x5983ca01, 0xc64b92ec, 0xf032ea15, 0xd1721d03,
-		0xf482d7ce, 0x6e74fef6, 0xd55e702f, 0x46980c82, 0xb5a84031, 0x900b1c9e, 0x59e7c97f, 0xbec7e8f3,
-		0x23a97a7e, 0x36cc88be, 0x0f1d45b7, 0xff585ac5, 0x4bd407b2, 0x2b4154aa, 0xcc8f6d7e, 0xbf48e1d8,
-		0x14cc5ed2, 0x0f8037e0, 0xa79715ee, 0xf29be328, 0x06a1d58b, 0xb7c5da76, 0xf550aa3d, 0x8a1fbff0,
-		0xeb19ccb1, 0xa313d55c, 0xda56c9ec, 0x2ef29632, 0x387fe8d7, 0x6e3c0468, 0x043e8f66, 0x3f4860ee,
-		0x12bf2d5b, 0x0b7474d6, 0xe694f91e, 0x6dbe1159, 0x74a3926f, 0x12fee5e4, 0x38777cb6, 0xa932df8c,
-		0xd8bec4d0, 0x73b931ba, 0x3bc832b6, 0x8d9dd300, 0x741fa7bf, 0x8afc47ed, 0x2576f693, 0x6ba42466,
-		0x3aab639c, 0x5ae4f568, 0x3423b474, 0x2bf1c978, 0x238f16cb, 0xe39d652d, 0xe3fdb8be, 0xfc848ad9,
-		0x22222e04, 0xa4037c07, 0x13eb57a8, 0x1a23f0c7, 0x3473fc64, 0x6cea306b, 0x4bcbc886, 0x2f8385dd,
-		0xfa9d4b7f, 0xa2c087e8, 0x79683303, 0xed5bdd3a, 0x062b3cf5, 0xb3a278a6, 0x6d2a13f8, 0x3f44f82d,
-		0xdf310ee0, 0x74ab6a36, 0x4597e899, 0xa0255dc1, 0x64f31cc5, 0x0846851d, 0xf9ab4819, 0x5ded7ea1,
-		0xb1d510bd, 0x7ee74d73, 0xfaf36bc3, 0x1ecfa268, 0x359046f4, 0xeb879f92, 0x4009438b, 0x481c6cd7,
-		0x889a002e, 0xd5ee382b, 0xc9190da6, 0xfc026e47, 0x9558e447, 0x5677e9aa, 0x9e3050e2, 0x765694df,
-		0xc81f56e8, 0x80b96e71, 0x60c980dd, 0x98a573ea, 0x4472065a, 0x139cd290, 0x6cd1cb72, 0x9ec52a53 // last one was: 0x9ec52a52
-		//0x86d44014, ...
-		// (the last word 0x9ec52a52 was rounded up because the next one is 0x86d44014 -- first bit is one 0x8..)
-		// 256 32bit words for the mantissa -- about 2464 valid decimal digits
-		};
-		// the value of PI is comming from the website http://zenwerx.com/pi.php
-		// 3101 digits were taken from this website
-		//  (later the digits were compared with:
-		//   http://www.eveandersson.com/pi/digits/1000000 and http://www.geom.uiuc.edu/~huberty/math5337/groupe/digits.html )
-		// and they were set into Big<1,400> type (using operator=(const char*) on a 32bit platform)
-		// and then the first 256 words were taken into this table
-		// (TTMATH_BUILTIN_VARIABLES_SIZE on 32bit platform should have the value 256,
-		// and on 64bit platform value 128 (256/2=128))
-
-		mantissa.SetFromTable(temp_table, sizeof(temp_table) / sizeof(int));
-	}
-
-public:
-
-
-	/*!
-		this method sets the value of pi
-	*/
-	void SetPi()
-	{
-		// IMPROVE ME
-		// give some compiler-time warning when the size of mantissa is greater than the builtin size of the mantissa pi
-		SetMantissaPi();
-		info = 0;
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT) + 2;
-	}
-
-
-	/*!
-		this method sets the value of 0.5 * pi
-	*/
-	void Set05Pi()
-	{
-		// IMPROVE ME
-		// give some compiler-time warning when the size of mantissa is greater than the builtin size of the mantissa pi
-		SetMantissaPi();
-		info = 0;
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT) + 1;
-	}
-
-
-	/*!
-		this method sets the value of 2 * pi
-	*/
-	void Set2Pi()
-	{
-		// IMPROVE ME
-		// give some compiler-time warning when the size of mantissa is greater than the builtin size of the mantissa pi
-		SetMantissaPi();
-		info = 0;
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT) + 3;
-	}
-
-
-	/*!
-		this method sets the value of e
-		(the base of the natural logarithm)
-	*/
-	void SetE()
-	{
-	static const unsigned int temp_table[] = {
-		0xadf85458, 0xa2bb4a9a, 0xafdc5620, 0x273d3cf1, 0xd8b9c583, 0xce2d3695, 0xa9e13641, 0x146433fb,
-		0xcc939dce, 0x249b3ef9, 0x7d2fe363, 0x630c75d8, 0xf681b202, 0xaec4617a, 0xd3df1ed5, 0xd5fd6561,
-		0x2433f51f, 0x5f066ed0, 0x85636555, 0x3ded1af3, 0xb557135e, 0x7f57c935, 0x984f0c70, 0xe0e68b77,
-		0xe2a689da, 0xf3efe872, 0x1df158a1, 0x36ade735, 0x30acca4f, 0x483a797a, 0xbc0ab182, 0xb324fb61,
-		0xd108a94b, 0xb2c8e3fb, 0xb96adab7, 0x60d7f468, 0x1d4f42a3, 0xde394df4, 0xae56ede7, 0x6372bb19,
-		0x0b07a7c8, 0xee0a6d70, 0x9e02fce1, 0xcdf7e2ec, 0xc03404cd, 0x28342f61, 0x9172fe9c, 0xe98583ff,
-		0x8e4f1232, 0xeef28183, 0xc3fe3b1b, 0x4c6fad73, 0x3bb5fcbc, 0x2ec22005, 0xc58ef183, 0x7d1683b2,
-		0xc6f34a26, 0xc1b2effa, 0x886b4238, 0x611fcfdc, 0xde355b3b, 0x6519035b, 0xbc34f4de, 0xf99c0238,
-		0x61b46fc9, 0xd6e6c907, 0x7ad91d26, 0x91f7f7ee, 0x598cb0fa, 0xc186d91c, 0xaefe1309, 0x85139270,
-		0xb4130c93, 0xbc437944, 0xf4fd4452, 0xe2d74dd3, 0x64f2e21e, 0x71f54bff, 0x5cae82ab, 0x9c9df69e,
-		0xe86d2bc5, 0x22363a0d, 0xabc52197, 0x9b0deada, 0x1dbf9a42, 0xd5c4484e, 0x0abcd06b, 0xfa53ddef,
-		0x3c1b20ee, 0x3fd59d7c, 0x25e41d2b, 0x669e1ef1, 0x6e6f52c3, 0x164df4fb, 0x7930e9e4, 0xe58857b6,
-		0xac7d5f42, 0xd69f6d18, 0x7763cf1d, 0x55034004, 0x87f55ba5, 0x7e31cc7a, 0x7135c886, 0xefb4318a,
-		0xed6a1e01, 0x2d9e6832, 0xa907600a, 0x918130c4, 0x6dc778f9, 0x71ad0038, 0x092999a3, 0x33cb8b7a,
-		0x1a1db93d, 0x7140003c, 0x2a4ecea9, 0xf98d0acc, 0x0a8291cd, 0xcec97dcf, 0x8ec9b55a, 0x7f88a46b,
-		0x4db5a851, 0xf44182e1, 0xc68a007e, 0x5e0dd902, 0x0bfd64b6, 0x45036c7a, 0x4e677d2c, 0x38532a3a,
-		0x23ba4442, 0xcaf53ea6, 0x3bb45432, 0x9b7624c8, 0x917bdd64, 0xb1c0fd4c, 0xb38e8c33, 0x4c701c3a,
-		0xcdad0657, 0xfccfec71, 0x9b1f5c3e, 0x4e46041f, 0x388147fb, 0x4cfdb477, 0xa52471f7, 0xa9a96910,
-		0xb855322e, 0xdb6340d8, 0xa00ef092, 0x350511e3, 0x0abec1ff, 0xf9e3a26e, 0x7fb29f8c, 0x183023c3,
-		0x587e38da, 0x0077d9b4, 0x763e4e4b, 0x94b2bbc1, 0x94c6651e, 0x77caf992, 0xeeaac023, 0x2a281bf6,
-		0xb3a739c1, 0x22611682, 0x0ae8db58, 0x47a67cbe, 0xf9c9091b, 0x462d538c, 0xd72b0374, 0x6ae77f5e,
-		0x62292c31, 0x1562a846, 0x505dc82d, 0xb854338a, 0xe49f5235, 0xc95b9117, 0x8ccf2dd5, 0xcacef403,
-		0xec9d1810, 0xc6272b04, 0x5b3b71f9, 0xdc6b80d6, 0x3fdd4a8e, 0x9adb1e69, 0x62a69526, 0xd43161c1,
-		0xa41d570d, 0x7938dad4, 0xa40e329c, 0xcff46aaa, 0x36ad004c, 0xf600c838, 0x1e425a31, 0xd951ae64,
-		0xfdb23fce, 0xc9509d43, 0x687feb69, 0xedd1cc5e, 0x0b8cc3bd, 0xf64b10ef, 0x86b63142, 0xa3ab8829,
-		0x555b2f74, 0x7c932665, 0xcb2c0f1c, 0xc01bd702, 0x29388839, 0xd2af05e4, 0x54504ac7, 0x8b758282,
-		0x2846c0ba, 0x35c35f5c, 0x59160cc0, 0x46fd8251, 0x541fc68c, 0x9c86b022, 0xbb709987, 0x6a460e74,
-		0x51a8a931, 0x09703fee, 0x1c217e6c, 0x3826e52c, 0x51aa691e, 0x0e423cfc, 0x99e9e316, 0x50c1217b,
-		0x624816cd, 0xad9a95f9, 0xd5b80194, 0x88d9c0a0, 0xa1fe3075, 0xa577e231, 0x83f81d4a, 0x3f2fa457,
-		0x1efc8ce0, 0xba8a4fe8, 0xb6855dfe, 0x72b0a66e, 0xded2fbab, 0xfbe58a30, 0xfafabe1c, 0x5d71a87e,
-		0x2f741ef8, 0xc1fe86fe, 0xa6bbfde5, 0x30677f0d, 0x97d11d49, 0xf7a8443d, 0x0822e506, 0xa9f4614e,
-		0x011e2a94, 0x838ff88c, 0xd68c8bb7, 0xc51eef6d, 0x49ea8ab4, 0xf2c3df5b, 0xb4e0735a, 0xb0d68749
-		// 0x2fe26dd4, ...
-		// 256 32bit words for the mantissa -- about 2464 valid decimal digits
-		};
-
-		// above value was calculated using Big<1,400> type on a 32bit platform
-		// and then the first 256 words were taken,
-		// the calculating was made by using ExpSurrounding0(1) method
-		// which took 1420 iterations
-		// (the result was compared with e taken from http://antwrp.gsfc.nasa.gov/htmltest/gifcity/e.2mil)
-		// (TTMATH_BUILTIN_VARIABLES_SIZE on 32bit platform should have the value 256,
-		// and on 64bit platform value 128 (256/2=128))
-
-		mantissa.SetFromTable(temp_table, sizeof(temp_table) / sizeof(int));
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT) + 2;
-		info = 0;
-	}
-
-
-	/*!
-		this method sets the value of ln(2)
-		the natural logarithm from 2
-	*/
-	void SetLn2()
-	{
-	static const unsigned int temp_table[] = {
-		0xb17217f7, 0xd1cf79ab, 0xc9e3b398, 0x03f2f6af, 0x40f34326, 0x7298b62d, 0x8a0d175b, 0x8baafa2b,
-		0xe7b87620, 0x6debac98, 0x559552fb, 0x4afa1b10, 0xed2eae35, 0xc1382144, 0x27573b29, 0x1169b825,
-		0x3e96ca16, 0x224ae8c5, 0x1acbda11, 0x317c387e, 0xb9ea9bc3, 0xb136603b, 0x256fa0ec, 0x7657f74b,
-		0x72ce87b1, 0x9d6548ca, 0xf5dfa6bd, 0x38303248, 0x655fa187, 0x2f20e3a2, 0xda2d97c5, 0x0f3fd5c6,
-		0x07f4ca11, 0xfb5bfb90, 0x610d30f8, 0x8fe551a2, 0xee569d6d, 0xfc1efa15, 0x7d2e23de, 0x1400b396,
-		0x17460775, 0xdb8990e5, 0xc943e732, 0xb479cd33, 0xcccc4e65, 0x9393514c, 0x4c1a1e0b, 0xd1d6095d,
-		0x25669b33, 0x3564a337, 0x6a9c7f8a, 0x5e148e82, 0x074db601, 0x5cfe7aa3, 0x0c480a54, 0x17350d2c,
-		0x955d5179, 0xb1e17b9d, 0xae313cdb, 0x6c606cb1, 0x078f735d, 0x1b2db31b, 0x5f50b518, 0x5064c18b,
-		0x4d162db3, 0xb365853d, 0x7598a195, 0x1ae273ee, 0x5570b6c6, 0x8f969834, 0x96d4e6d3, 0x30af889b,
-		0x44a02554, 0x731cdc8e, 0xa17293d1, 0x228a4ef9, 0x8d6f5177, 0xfbcf0755, 0x268a5c1f, 0x9538b982,
-		0x61affd44, 0x6b1ca3cf, 0x5e9222b8, 0x8c66d3c5, 0x422183ed, 0xc9942109, 0x0bbb16fa, 0xf3d949f2,
-		0x36e02b20, 0xcee886b9, 0x05c128d5, 0x3d0bd2f9, 0x62136319, 0x6af50302, 0x0060e499, 0x08391a0c,
-		0x57339ba2, 0xbeba7d05, 0x2ac5b61c, 0xc4e9207c, 0xef2f0ce2, 0xd7373958, 0xd7622658, 0x901e646a,
-		0x95184460, 0xdc4e7487, 0x156e0c29, 0x2413d5e3, 0x61c1696d, 0xd24aaebd, 0x473826fd, 0xa0c238b9,
-		0x0ab111bb, 0xbd67c724, 0x972cd18b, 0xfbbd9d42, 0x6c472096, 0xe76115c0, 0x5f6f7ceb, 0xac9f45ae,
-		0xcecb72f1, 0x9c38339d, 0x8f682625, 0x0dea891e, 0xf07afff3, 0xa892374e, 0x175eb4af, 0xc8daadd8,
-		0x85db6ab0, 0x3a49bd0d, 0xc0b1b31d, 0x8a0e23fa, 0xc5e5767d, 0xf95884e0, 0x6425a415, 0x26fac51c,
-		0x3ea8449f, 0xe8f70edd, 0x062b1a63, 0xa6c4c60c, 0x52ab3316, 0x1e238438, 0x897a39ce, 0x78b63c9f,
-		0x364f5b8a, 0xef22ec2f, 0xee6e0850, 0xeca42d06, 0xfb0c75df, 0x5497e00c, 0x554b03d7, 0xd2874a00,
-		0x0ca8f58d, 0x94f0341c, 0xbe2ec921, 0x56c9f949, 0xdb4a9316, 0xf281501e, 0x53daec3f, 0x64f1b783,
-		0x154c6032, 0x0e2ff793, 0x33ce3573, 0xfacc5fdc, 0xf1178590, 0x3155bbd9, 0x0f023b22, 0x0224fcd8,
-		0x471bf4f4, 0x45f0a88a, 0x14f0cd97, 0x6ea354bb, 0x20cdb5cc, 0xb3db2392, 0x88d58655, 0x4e2a0e8a,
-		0x6fe51a8c, 0xfaa72ef2, 0xad8a43dc, 0x4212b210, 0xb779dfe4, 0x9d7307cc, 0x846532e4, 0xb9694eda,
-		0xd162af05, 0x3b1751f3, 0xa3d091f6, 0x56658154, 0x12b5e8c2, 0x02461069, 0xac14b958, 0x784934b8,
-		0xd6cce1da, 0xa5053701, 0x1aa4fb42, 0xb9a3def4, 0x1bda1f85, 0xef6fdbf2, 0xf2d89d2a, 0x4b183527,
-		0x8fd94057, 0x89f45681, 0x2b552879, 0xa6168695, 0xc12963b0, 0xff01eaab, 0x73e5b5c1, 0x585318e7,
-		0x624f14a5, 0x1a4a026b, 0x68082920, 0x57fd99b6, 0x6dc085a9, 0x8ac8d8ca, 0xf9eeeea9, 0x8a2400ca,
-		0xc95f260f, 0xd10036f9, 0xf91096ac, 0x3195220a, 0x1a356b2a, 0x73b7eaad, 0xaf6d6058, 0x71ef7afb,
-		0x80bc4234, 0x33562e94, 0xb12dfab4, 0x14451579, 0xdf59eae0, 0x51707062, 0x4012a829, 0x62c59cab,
-		0x347f8304, 0xd889659e, 0x5a9139db, 0x14efcc30, 0x852be3e8, 0xfc99f14d, 0x1d822dd6, 0xe2f76797,
-		0xe30219c8, 0xaa9ce884, 0x8a886eb3, 0xc87b7295, 0x988012e8, 0x314186ed, 0xbaf86856, 0xccd3c3b6,
-		0xee94e62f, 0x110a6783, 0xd2aae89c, 0xcc3b76fc, 0x435a0ce1, 0x34c2838f, 0xd571ec6c, 0x1366a993 // last one was: 0x1366a992
-		//0xcbb9ac40, ...
-		// (the last word 0x1366a992 was rounded up because the next one is 0xcbb9ac40 -- first bit is one 0xc..)
-		// 256 32bit words for the mantissa -- about 2464 valid decimal digits
-		};
-
-		// above value was calculated using Big<1,400> type on a 32bit platform
-		// and then the first 256 words were taken,
-		// the calculating was made by using LnSurrounding1(2) method
-		// which took 4035 iterations
-		// (the result was compared with ln(2) taken from http://ja0hxv.calico.jp/pai/estart.html)
-		// (TTMATH_BUILTIN_VARIABLES_SIZE on 32bit platform should have the value 256,
-		// and on 64bit platform value 128 (256/2=128))
-
-		mantissa.SetFromTable(temp_table, sizeof(temp_table) / sizeof(int));
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT);
-		info = 0;
-	}
-
-
-	/*!
-		this method sets the value of ln(10)
-		the natural logarithm from 10
-
-		I introduced this constant especially to make the conversion ToString()
-		being faster. In fact the method ToString() is keeping values of logarithms
-		it has calculated but it must calculate the logarithm at least once.
-		If a program, which uses this library, is running for a long time this
-		would be ok, but for programs which are running shorter, for example for
-		CGI applications which only once are printing values, this would be much
-		inconvenience. Then if we're printing with base (radix) 10 and the mantissa
-		of our value is smaller than or equal to TTMATH_BUILTIN_VARIABLES_SIZE
-		we don't calculate the logarithm but take it from this constant.
-	*/
-	void SetLn10()
-	{
-	static const unsigned int temp_table[] = {
-		0x935d8ddd, 0xaaa8ac16, 0xea56d62b, 0x82d30a28, 0xe28fecf9, 0xda5df90e, 0x83c61e82, 0x01f02d72,
-		0x962f02d7, 0xb1a8105c, 0xcc70cbc0, 0x2c5f0d68, 0x2c622418, 0x410be2da, 0xfb8f7884, 0x02e516d6,
-		0x782cf8a2, 0x8a8c911e, 0x765aa6c3, 0xb0d831fb, 0xef66ceb0, 0x4ab3c6fa, 0x5161bb49, 0xd219c7bb,
-		0xca67b35b, 0x23605085, 0x8e93368d, 0x44789c4f, 0x5b08b057, 0xd5ede20f, 0x469ea58e, 0x9305e981,
-		0xe2478fca, 0xad3aee98, 0x9cd5b42e, 0x6a271619, 0xa47ecb26, 0x978c5d4f, 0xdb1d28ea, 0x57d4fdc0,
-		0xe40bf3cc, 0x1e14126a, 0x45765cde, 0x268339db, 0xf47fa96d, 0xeb271060, 0xaf88486e, 0xa9b7401e,
-		0x3dfd3c51, 0x748e6d6e, 0x3848c8d2, 0x5faf1bca, 0xe88047f1, 0x7b0d9b50, 0xa949eaaa, 0xdf69e8a5,
-		0xf77e3760, 0x4e943960, 0xe38a5700, 0xffde2db1, 0xad6bfbff, 0xd821ba0a, 0x4cb0466d, 0x61ba648e,
-		0xef99c8e5, 0xf6974f36, 0x3982a78c, 0xa45ddfc8, 0x09426178, 0x19127a6e, 0x3b70fcda, 0x2d732d47,
-		0xb5e4b1c8, 0xc0e5a10a, 0xaa6604a5, 0x324ec3dc, 0xbc64ea80, 0x6e198566, 0x1f1d366c, 0x20663834,
-		0x4d5e843f, 0x20642b97, 0x0a62d18e, 0x478f7bd5, 0x8fcd0832, 0x4a7b32a6, 0xdef85a05, 0xeb56323a,
-		0x421ef5e0, 0xb00410a0, 0xa0d9c260, 0x794a976f, 0xf6ff363d, 0xb00b6b33, 0xf42c58de, 0xf8a3c52d,
-		0xed69b13d, 0xc1a03730, 0xb6524dc1, 0x8c167e86, 0x99d6d20e, 0xa2defd2b, 0xd006f8b4, 0xbe145a2a,
-		0xdf3ccbb3, 0x189da49d, 0xbc1261c8, 0xb3e4daad, 0x6a36cecc, 0xb2d5ae5b, 0x89bf752f, 0xb5dfb353,
-		0xff3065c4, 0x0cfceec8, 0x1be5a9a9, 0x67fddc57, 0xc4b83301, 0x006bf062, 0x4b40ed7a, 0x56c6cdcd,
-		0xa2d6fe91, 0x388e9e3e, 0x48a93f5f, 0x5e3b6eb4, 0xb81c4a5b, 0x53d49ea6, 0x8e668aea, 0xba83c7f8,
-		0xfb5f06c3, 0x58ac8f70, 0xfa9d8c59, 0x8c574502, 0xbaf54c96, 0xc84911f0, 0x0482d095, 0x1a0af022,
-		0xabbab080, 0xec97efd3, 0x671e4e0e, 0x52f166b6, 0xcd5cd226, 0x0dc67795, 0x2e1e34a3, 0xf799677f,
-		0x2c1d48f1, 0x2944b6c5, 0x2ba1307e, 0x704d67f9, 0x1c1035e4, 0x4e927c63, 0x03cf12bf, 0xe2cd2e31,
-		0xf8ee4843, 0x344d51b0, 0xf37da42b, 0x9f0b0fd9, 0x134fb2d9, 0xf815e490, 0xd966283f, 0x23962766,
-		0xeceab1e4, 0xf3b5fc86, 0x468127e2, 0xb606d10d, 0x3a45f4b6, 0xb776102d, 0x2fdbb420, 0x80c8fa84,
-		0xd0ff9f45, 0xc58aef38, 0xdb2410fd, 0x1f1cebad, 0x733b2281, 0x52ca5f36, 0xddf29daa, 0x544334b8,
-		0xdeeaf659, 0x4e462713, 0x1ed485b4, 0x6a0822e1, 0x28db471c, 0xa53938a8, 0x44c3bef7, 0xf35215c8,
-		0xb382bc4e, 0x3e4c6f15, 0x6285f54c, 0x17ab408e, 0xccbf7f5e, 0xd16ab3f6, 0xced2846d, 0xf457e14f,
-		0xbb45d9c5, 0x646ad497, 0xac697494, 0x145de32e, 0x93907128, 0xd263d521, 0x79efb424, 0xd64651d6,
-		0xebc0c9f0, 0xbb583a44, 0xc6412c84, 0x85bb29a6, 0x4d31a2cd, 0x92954469, 0xa32b1abd, 0xf7f5202c,
-		0xa4aa6c93, 0x2e9b53cf, 0x385ab136, 0x2741f356, 0x5de9c065, 0x6009901c, 0x88abbdd8, 0x74efcf73,
-		0x3f761ad4, 0x35f3c083, 0xfd6b8ee0, 0x0bef11c7, 0xc552a89d, 0x58ce4a21, 0xd71e54f2, 0x4157f6c7,
-		0xd4622316, 0xe98956d7, 0x450027de, 0xcbd398d8, 0x4b98b36a, 0x0724c25c, 0xdb237760, 0xe9324b68,
-		0x7523e506, 0x8edad933, 0x92197f00, 0xb853a326, 0xb330c444, 0x65129296, 0x34bc0670, 0xe177806d,
-		0xe338dac4, 0x5537492a, 0xe19add83, 0xcf45000f, 0x5b423bce, 0x6497d209, 0xe30e18a1, 0x3cbf0687,
-		0x67973103, 0xd9485366, 0x81506bba, 0x2e93a9a4, 0x7dd59d3f, 0xf17cd746, 0x8c2075be, 0x552a4348 // last one was: 0x552a4347
-		// 0xb4a638ef, ...
-		//(the last word 0x552a4347 was rounded up because the next one is 0xb4a638ef -- first bit is one 0xb..)
-		// 256 32bit words for the mantissa -- about 2464 valid digits (decimal)
-		};
-
-		// above value was calculated using Big<1,400> type on a 32bit platform
-		// and then the first 256 32bit words were taken,
-		// the calculating was made by using LnSurrounding1(10) method
-		// which took 22080 iterations
-		// (the result was compared with ln(10) taken from http://ja0hxv.calico.jp/pai/estart.html)
-		// (the formula used in LnSurrounding1(x) converges badly when
-	    // the x is greater than one but in fact we can use it, only the
-		// number of iterations will be greater)
-		// (TTMATH_BUILTIN_VARIABLES_SIZE on 32bit platform should have the value 256,
-		// and on 64bit platform value 128 (256/2=128))
-
-		mantissa.SetFromTable(temp_table, sizeof(temp_table) / sizeof(int));
-		exponent = -sint(man)*sint(TTMATH_BITS_PER_UINT) + 2;
-		info = 0;
-	}
-
-
-	/*!
-		this method sets the maximum value which can be held in this type
-	*/
-	void SetMax()
-	{
-		info = 0;
-		mantissa.SetMax();
-		exponent.SetMax();
-
-		// we don't have to use 'Standardizing()' because the last bit from
-		// the mantissa is set
-	}
-
-
-	/*!
-		this method sets the minimum value which can be held in this type
-	*/
-	void SetMin()
-	{
-		info = 0;
-
-		mantissa.SetMax();
-		exponent.SetMax();
-		SetSign();
-
-		// we don't have to use 'Standardizing()' because the last bit from
-		// the mantissa is set
-	}
-
-
-	/*!
-		testing whether there is a value zero or not
-	*/
-	bool IsZero() const
-	{
-		return IsInfoBit(TTMATH_BIG_ZERO);
-	}
-
-
-	/*!
-		this method returns true when there's the sign set
-		also we don't check the NaN flag
-	*/
-	bool IsSign() const
-	{
-		return IsInfoBit(TTMATH_BIG_SIGN);
-	}
-
-
-	/*!
-		this method returns true when there is not a valid number
-	*/
-	bool IsNan() const
-	{
-		return IsInfoBit(TTMATH_BIG_NAN);
-	}
-
-
-
-	/*!
-		this method clears the sign
-		(there'll be an absolute value)
-
-		samples
-		-  	-1 -> 1
-		-  	2  -> 2
-	*/
-	void Abs()
-	{
-		ClearInfoBit(TTMATH_BIG_SIGN);
-	}
-
-
-	/*!
-		this method remains the 'sign' of the value
-
-		samples
-		-    -2 = -1
-		-     0 = 0
-		-    10 = 1
-	*/
-	void Sgn()
-	{
-		// we have to check the NaN flag, because the next SetOne() method would clear it
-		if( IsNan() )
-			return;
-
-		if( IsSign() )
-		{
-			SetOne();
-			SetSign();
-		}
-		else
-		if( IsZero() )
-			SetZero(); // !! is nedeed here?
-		else
-			SetOne();
-	}
-
-
-
-	/*!
-		this method sets the sign
-
-		samples
-		-  	-1 -> -1
-		-  	2  -> -2
-
-		we do not check whether there is a zero or not, if you're using this method
-		you must be sure that the value is (or will be afterwards) different from zero
-	*/
-	void SetSign()
-	{
-		SetInfoBit(TTMATH_BIG_SIGN);
-	}
-
-
-	/*!
-		this method changes the sign
-		when there is a value of zero then the sign is not changed
-
-		samples
-		-  	-1 -> 1
-		-  	2  -> -2
-	*/
-	void ChangeSign()
-	{
-		// we don't have to check the NaN flag here
-
-		if( IsZero() )
-			return;
-
-		if( IsSign() )
-			ClearInfoBit(TTMATH_BIG_SIGN);
-		else
-			SetInfoBit(TTMATH_BIG_SIGN);
-	}
-
-
-
-private:
-
-	/*!
-		this method does the half-to-even rounding (banker's rounding)
-
-		if is_half is:
-		-  true  - that means the rest was equal the half (0.5 decimal)
-		-  false - that means the rest was greater than a half (greater than 0.5 decimal)
-
-	    if the rest was less than a half then don't call this method
-		(the rounding should does nothing then)
-	*/
-	uint RoundHalfToEven(bool is_half, bool rounding_up = true)
-	{
-	uint c = 0;
-
-		if( !is_half || mantissa.IsTheLowestBitSet() )
-		{
-			if( rounding_up )
-			{
-				if( mantissa.AddOne() )
-				{
-					mantissa.Rcr(1, 1);
-					c = exponent.AddOne();
-				}
-			}
-			else
-			{
-				#ifdef TTMATH_DEBUG
-				uint c_from_zero =
-				#endif
-				mantissa.SubOne();
-
-				// we're using rounding_up=false in Add() when the mantissas have different signs
-				// mantissa can be zero only when previous mantissa was equal to ss2.mantissa
-				// but in such a case 'last_bit_set' will not be set and consequently 'do_rounding' will be false
-				TTMATH_ASSERT( c_from_zero == 0 )
-			}
-		}
-
-	return c;
-	}
-
-
-
-
-
-	/*!
-	*
-	*	basic mathematic functions
-	*
-	*/
-
-
-	/*!
-		this method adds one to the existing value
-	*/
-	uint AddOne()
-	{
-	Big<exp, man> one;
-
-		one.SetOne();
-
-	return Add(one);
-	}
-
-
-	/*!
-		this method subtracts one from the existing value
-	*/
-	uint SubOne()
-	{
-	Big<exp, man> one;
-
-		one.SetOne();
-
-	return Sub(one);
-	}
-
-
-private:
-
-
-	/*!
-		an auxiliary method for adding
-	*/
-	void AddCheckExponents(	Big<exp, man> & ss2,
-							Int<exp> & exp_offset,
-							bool & last_bit_set,
-							bool & rest_zero,
-							bool & do_adding,
-							bool & do_rounding)
-	{
-	Int<exp> mantissa_size_in_bits( man * TTMATH_BITS_PER_UINT );
-
-		if( exp_offset == mantissa_size_in_bits )
-		{
-			last_bit_set = ss2.mantissa.IsTheHighestBitSet();
-			rest_zero    = ss2.mantissa.AreFirstBitsZero(man*TTMATH_BITS_PER_UINT - 1);
-			do_rounding  = true;	// we'are only rounding
-		}
-		else
-		if( exp_offset < mantissa_size_in_bits )
-		{
-			uint moved = exp_offset.ToInt(); // how many times we must move ss2.mantissa
-			rest_zero  = true;
-
-			if( moved > 0 )
-			{
-				last_bit_set = static_cast<bool>( ss2.mantissa.GetBit(moved-1) );
-
-				if( moved > 1 )
-					rest_zero = ss2.mantissa.AreFirstBitsZero(moved - 1);
-
-				// (2) moving 'exp_offset' times
-				ss2.mantissa.Rcr(moved, 0);
-			}
-
-			do_adding    = true;
-			do_rounding  = true;
-		}
-
-		// if exp_offset is greater than mantissa_size_in_bits then we do nothing
-		// ss2 is too small for taking into consideration in the sum
-	}
-
-
-	/*!
-		an auxiliary method for adding
-	*/
-	uint AddMantissas(	Big<exp, man> & ss2,
-						bool & last_bit_set,
-						bool & rest_zero)
-	{
-	uint c = 0;
-
-		if( IsSign() == ss2.IsSign() )
-		{
-			// values have the same signs
-			if( mantissa.Add(ss2.mantissa) )
-			{
-				// we have one bit more from addition (carry)
-				// now rest_zero means the old rest_zero with the old last_bit_set
-				rest_zero    = (!last_bit_set && rest_zero);
-				last_bit_set = mantissa.Rcr(1,1);
-				c += exponent.AddOne();
-			}
-		}
-		else
-		{
-			// values have different signs
-			// there shouldn't be a carry here because
-			// (1) (2) guarantee that the mantissa of this
-			// is greater than or equal to the mantissa of the ss2
-
-			#ifdef TTMATH_DEBUG
-			uint c_temp =
-			#endif
-			mantissa.Sub(ss2.mantissa);
-
-			TTMATH_ASSERT( c_temp == 0 )
-		}
-
-	return c;
-	}
-
-
-public:
-
-
-	/*!
-		Addition this = this + ss2
-
-		it returns carry if the sum is too big
-	*/
-	uint Add(Big<exp, man> ss2, bool round = true, bool adding = true)
-	{
-	bool last_bit_set, rest_zero, do_adding, do_rounding, rounding_up;
-	Int<exp> exp_offset( exponent );
-	uint c = 0;
-
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( !adding )
-			ss2.ChangeSign(); // subtracting
-
-		exp_offset.Sub( ss2.exponent );
-		exp_offset.Abs();
-
-		// (1) abs(this) will be >= abs(ss2)
-		if( SmallerWithoutSignThan(ss2) )
-			Swap(ss2);
-
-		if( ss2.IsZero() )
-			return 0;
-
-		last_bit_set = rest_zero = do_adding = do_rounding = false;
-		rounding_up = (IsSign() == ss2.IsSign());
-
-		AddCheckExponents(ss2, exp_offset, last_bit_set, rest_zero, do_adding, do_rounding);
-
-		if( do_adding )
-			c += AddMantissas(ss2, last_bit_set, rest_zero);
-
-		if( !round || !last_bit_set )
-			do_rounding = false;
-
-		if( do_rounding )
-			c += RoundHalfToEven(rest_zero, rounding_up);
-
-		if( do_adding || do_rounding )
-			c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		Subtraction this = this - ss2
-
-		it returns carry if the result is too big
-	*/
-	uint Sub(const Big<exp, man> & ss2, bool round = true)
-	{
-		return Add(ss2, round, false);
-	}
-
-
-	/*!
-		bitwise AND
-
-		this and ss2 must be >= 0
-
-		return values:
-		-  	0 - ok
-		-  	1 - carry
-		-  	2 - this or ss2 was negative
-	*/
-	uint BitAnd(Big<exp, man> ss2)
-	{
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( IsSign() || ss2.IsSign() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( IsZero() )
-			return 0;
-
-		if( ss2.IsZero() )
-		{
-			SetZero();
-			return 0;
-		}
-
-		Int<exp> exp_offset( exponent );
-		Int<exp> mantissa_size_in_bits( man * TTMATH_BITS_PER_UINT );
-
-		uint c = 0;
-
-		exp_offset.Sub( ss2.exponent );
-		exp_offset.Abs();
-
-		// abs(this) will be >= abs(ss2)
-		if( SmallerWithoutSignThan(ss2) )
-			Swap(ss2);
-
-		if( exp_offset >= mantissa_size_in_bits )
-		{
-			// the second value is too small
-			SetZero();
-			return 0;
-		}
-
-		// exp_offset < mantissa_size_in_bits, moving 'exp_offset' times
-		ss2.mantissa.Rcr( exp_offset.ToInt(), 0 );
-		mantissa.BitAnd(ss2.mantissa);
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		bitwise OR
-
-		this and ss2 must be >= 0
-		return values:
-
-		-  	0 - ok
-		-  	1 - carry
-		-  	2 - this or ss2 was negative
-	*/
-	uint BitOr(Big<exp, man> ss2)
-	{
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( IsSign() || ss2.IsSign() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( IsZero() )
-		{
-			*this = ss2;
-			return 0;
-		}
-
-		if( ss2.IsZero() )
-			return 0;
-
-		Int<exp> exp_offset( exponent );
-		Int<exp> mantissa_size_in_bits( man * TTMATH_BITS_PER_UINT );
-
-		uint c = 0;
-
-		exp_offset.Sub( ss2.exponent );
-		exp_offset.Abs();
-
-		// abs(this) will be >= abs(ss2)
-		if( SmallerWithoutSignThan(ss2) )
-			Swap(ss2);
-
-		if( exp_offset >= mantissa_size_in_bits )
-			// the second value is too small
-			return 0;
-
-		// exp_offset < mantissa_size_in_bits, moving 'exp_offset' times
-		ss2.mantissa.Rcr( exp_offset.ToInt(), 0 );
-		mantissa.BitOr(ss2.mantissa);
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		bitwise XOR
-
-		this and ss2 must be >= 0
-		return values:
-
-		-  	0 - ok
-		-  	1 - carry
-		-  	2 - this or ss2 was negative
-	*/
-	uint BitXor(Big<exp, man> ss2)
-	{
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( IsSign() || ss2.IsSign() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( ss2.IsZero() )
-			return 0;
-
-		if( IsZero() )
-		{
-			*this = ss2;
-			return 0;
-		}
-
-		Int<exp> exp_offset( exponent );
-		Int<exp> mantissa_size_in_bits( man * TTMATH_BITS_PER_UINT );
-
-		uint c = 0;
-
-		exp_offset.Sub( ss2.exponent );
-		exp_offset.Abs();
-
-		// abs(this) will be >= abs(ss2)
-		if( SmallerWithoutSignThan(ss2) )
-			Swap(ss2);
-
-		if( exp_offset >= mantissa_size_in_bits )
-			// the second value is too small
-			return 0;
-
-		// exp_offset < mantissa_size_in_bits, moving 'exp_offset' times
-		ss2.mantissa.Rcr( exp_offset.ToInt(), 0 );
-		mantissa.BitXor(ss2.mantissa);
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-
-	/*!
-		Multiplication this = this * ss2 (ss2 is uint)
-
-		ss2 without a sign
-	*/
-	uint MulUInt(uint ss2)
-	{
-	UInt<man+1> man_result;
-	uint i,c = 0;
-
-		if( IsNan() )
-			return 1;
-
-		if( IsZero() )
-			return 0;
-
-		if( ss2 == 0 )
-		{
-			SetZero();
-			return 0;
-		}
-
-		// man_result = mantissa * ss2.mantissa
-		mantissa.MulInt(ss2, man_result);
-
-		sint bit = UInt<man>::FindLeadingBitInWord(man_result.table[man]); // man - last word
-
-		if( bit!=-1 && uint(bit) > (TTMATH_BITS_PER_UINT/2) )
-		{
-			// 'i' will be from 0 to TTMATH_BITS_PER_UINT
-			i = man_result.CompensationToLeft();
-			c = exponent.Add( TTMATH_BITS_PER_UINT - i );
-
-			for(i=0 ; i<man ; ++i)
-				mantissa.table[i] = man_result.table[i+1];
-		}
-		else
-		{
-			if( bit != -1 )
-			{
-				man_result.Rcr(bit+1, 0);
-				c += exponent.Add(bit+1);
-			}
-
-			for(i=0 ; i<man ; ++i)
-				mantissa.table[i] = man_result.table[i];
-		}
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		Multiplication this = this * ss2 (ss2 is sint)
-
-		ss2 with a sign
-	*/
-	uint MulInt(sint ss2)
-	{
-		if( IsNan() )
-			return 1;
-
-		if( ss2 == 0 )
-		{
-			SetZero();
-			return 0;
-		}
-
-		if( IsZero() )
-			return 0;
-
-		if( IsSign() == (ss2<0) )
-		{
-			// the signs are the same (both are either - or +), the result is positive
-			Abs();
-		}
-		else
-		{
-			// the signs are different, the result is negative
-			SetSign();
-		}
-
-		if( ss2<0 )
-			ss2 = -ss2;
-
-
-	return MulUInt( uint(ss2) );
-	}
-
-
-private:
-
-
-	/*!
-		this method checks whether a table pointed by 'tab' and 'len'
-		has the value 0.5 decimal
-		(it is treated as the comma operator would be before the highest bit)
-		call this method only if the highest bit is set - you have to test it beforehand
-
-		return:
-		-  true  - tab was equal the half (0.5 decimal)
-		-  false - tab was greater than a half (greater than 0.5 decimal)
-
-	*/
-	bool CheckGreaterOrEqualHalf(uint * tab, uint len)
-	{
-	uint i;
-
-		TTMATH_ASSERT( len>0 && (tab[len-1] & TTMATH_UINT_HIGHEST_BIT)!=0 )
-
-		for(i=0 ; i<len-1 ; ++i)
-			if( tab[i] != 0 )
-				return false;
-
-		if( tab[i] != TTMATH_UINT_HIGHEST_BIT )
-			return false;
-
-	return true;
-	}
-
-
-private:
-
-	/*!
-		multiplication this = this * ss2
-		this method returns a carry
-	*/
-	uint MulRef(const Big<exp, man> & ss2, bool round = true)
-	{
-	TTMATH_REFERENCE_ASSERT( ss2 )
-
-	UInt<man*2> man_result;
-	uint c = 0;
-	uint i;
-
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( IsZero() )
-			return 0;
-
-		if( ss2.IsZero() )
-		{
-			SetZero();
-			return 0;
-		}
-
-		// man_result = mantissa * ss2.mantissa
-		mantissa.MulBig(ss2.mantissa, man_result);
-
-		// 'i' will be from 0 to man*TTMATH_BITS_PER_UINT
-		// because mantissa and ss2.mantissa are standardized
-		// (the highest bit in man_result is set to 1 or
-		// if there is a zero value in man_result the method CompensationToLeft()
-		// returns 0 but we'll correct this at the end in Standardizing() method)
-		i = man_result.CompensationToLeft();
-		uint exp_add = man * TTMATH_BITS_PER_UINT - i;
-
-		if( exp_add )
-			c += exponent.Add( exp_add );
-
-		c += exponent.Add( ss2.exponent );
-
-		for(i=0 ; i<man ; ++i)
-			mantissa.table[i] = man_result.table[i+man];
-
-		if( round && (man_result.table[man-1] & TTMATH_UINT_HIGHEST_BIT) != 0 )
-		{
-			bool is_half = CheckGreaterOrEqualHalf(man_result.table, man);
-			c += RoundHalfToEven(is_half);
-		}
-
-		if( IsSign() == ss2.IsSign() )
-		{
-			// the signs are the same, the result is positive
-			Abs();
-		}
-		else
-		{
-			// the signs are different, the result is negative
-			// if the value is zero it will be corrected later in Standardizing method
-			SetSign();
-		}
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-public:
-
-
-	/*!
-		multiplication this = this * ss2
-		this method returns a carry
-	*/
-	uint Mul(const Big<exp, man> & ss2, bool round = true)
-	{
-		if( this == &ss2 )
-		{
-			Big<exp, man> copy_ss2(ss2);
-			return MulRef(copy_ss2, round);
-		}
-		else
-		{
-			return MulRef(ss2, round);
-		}
-	}
-
-
-private:
-
-	/*!
-		division this = this / ss2
-
-		return value:
-		-  0 - ok
-		-  1 - carry (in a division carry can be as well)
-		-  2 - improper argument (ss2 is zero)
-	*/
-	uint DivRef(const Big<exp, man> & ss2, bool round = true)
-	{
-	TTMATH_REFERENCE_ASSERT( ss2 )
-
-	UInt<man*2> man1;
-	UInt<man*2> man2;
-	uint i,c = 0;
-
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( ss2.IsZero() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( IsZero() )
-			return 0;
-
-		// !! this two loops can be joined together
-
-		for(i=0 ; i<man ; ++i)
-		{
-			man1.table[i+man] = mantissa.table[i];
-			man2.table[i]     = ss2.mantissa.table[i];
-		}
-
-		for(i=0 ; i<man ; ++i)
-		{
-			man1.table[i] = 0;
-			man2.table[i+man] = 0;
-		}
-
-		man1.Div(man2);
-
-		i = man1.CompensationToLeft();
-
-		if( i )
-			c += exponent.Sub(i);
-
-		c += exponent.Sub(ss2.exponent);
-
-		for(i=0 ; i<man ; ++i)
-			mantissa.table[i] = man1.table[i+man];
-
-		if( round && (man1.table[man-1] & TTMATH_UINT_HIGHEST_BIT) != 0 )
-		{
-			bool is_half = CheckGreaterOrEqualHalf(man1.table, man);
-			c += RoundHalfToEven(is_half);
-		}
-
-		if( IsSign() == ss2.IsSign() )
-			Abs();
-		else
-			SetSign(); // if there is a zero it will be corrected in Standardizing()
-
-		c += Standardizing();
-
-	return CheckCarry(c);
-	}
-
-
-public:
-
-	/*!
-		division this = this / ss2
-
-		return value:
-		-  0 - ok
-		-  1 - carry (in a division carry can be as well)
-		-  2 - improper argument (ss2 is zero)
-	*/
-	uint Div(const Big<exp, man> & ss2, bool round = true)
-	{
-		if( this == &ss2 )
-		{
-			Big<exp, man> copy_ss2(ss2);
-			return DivRef(copy_ss2, round);
-		}
-		else
-		{
-			return DivRef(ss2, round);
-		}
-	}
-
-
-private:
-
-	/*!
-		the remainder from a division
-	*/
-	uint ModRef(const Big<exp, man> & ss2)
-	{
-	TTMATH_REFERENCE_ASSERT( ss2 )
-
-	uint c = 0;
-
-		if( IsNan() || ss2.IsNan() )
-			return CheckCarry(1);
-
-		if( ss2.IsZero() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( !SmallerWithoutSignThan(ss2) )
-		{
-			Big<exp, man> temp(*this);
-
-			c = temp.Div(ss2);
-			temp.SkipFraction();
-			c += temp.Mul(ss2);
-			c += Sub(temp);
-
-			if( !SmallerWithoutSignThan( ss2 ) )
-				c += 1;
-		}
-
-	return CheckCarry(c);
-	}
-
-
-public:
-
-	/*!
-		caltulate the remainder from a division
-
-		samples
-		-   12.6 mod  3 =  0.6   because  12.6 = 3*4 + 0.6
-		-  -12.6 mod  3 = -0.6   bacause -12.6 = 3*(-4) + (-0.6)
-		-   12.6 mod -3 =  0.6
-		-  -12.6 mod -3 = -0.6
-
-		in other words: this(old) = ss2 * q + this(new)
-
-		return value:
-		-  0 - ok
-		-  1 - carry
-		-  2 - improper argument (ss2 is zero)
-	*/
-	uint Mod(const Big<exp, man> & ss2)
-	{
-		if( this == &ss2 )
-		{
-			Big<exp, man> copy_ss2(ss2);
-			return ModRef(copy_ss2);
-		}
-		else
-		{
-			return ModRef(ss2);
-		}
-	}
-
-
-	/*!
-		this method returns: 'this' mod 2
-		(either zero or one)
-
-		this method is much faster than using Mod( object_with_value_two )
-	*/
-	uint Mod2() const
-	{
-		if( exponent>sint(0) || exponent<=-sint(man*TTMATH_BITS_PER_UINT) )
-			return 0;
-
-		sint exp_int = exponent.ToInt();
-		// 'exp_int' is negative (or zero), we set it as positive
-		exp_int = -exp_int;
-
-	return mantissa.GetBit(exp_int);
-	}
-
-
-	/*!
-		power this = this ^ pow
-		(pow without a sign)
-
-		binary algorithm (r-to-l)
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect arguments (0^0)
-	*/
-	template<uint pow_size>
-	uint Pow(UInt<pow_size> pow)
-	{
-		if( IsNan() )
-			return 1;
-
-		if( IsZero() )
-		{
-			if( pow.IsZero() )
-			{
-				// we don't define zero^zero
-				SetNan();
-				return 2;
-			}
-
-			// 0^(+something) is zero
-			return 0;
-		}
-
-		Big<exp, man> start(*this);
-		Big<exp, man> result;
-		result.SetOne();
-		uint c = 0;
-
-		while( !c )
-		{
-			if( pow.table[0] & 1 )
-				c += result.Mul(start);
-
-			pow.Rcr(1);
-
-			if( pow.IsZero() )
-				break;
-
-			c += start.Mul(start);
-		}
-
-		*this = result;
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		power this = this ^ pow
-		p can be negative
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect arguments 0^0 or 0^(-something)
-	*/
-	template<uint pow_size>
-	uint Pow(Int<pow_size> pow)
-	{
-		if( IsNan() )
-			return 1;
-
-		if( !pow.IsSign() )
-			return Pow( UInt<pow_size>(pow) );
-
-		if( IsZero() )
-		{
-			// if 'p' is negative then
-			// 'this' must be different from zero
-			SetNan();
-			return 2;
-		}
-
-		uint c = pow.ChangeSign();
-
-		Big<exp, man> t(*this);
-		c += t.Pow( UInt<pow_size>(pow) ); // here can only be a carry (return:1)
-
-		SetOne();
-		c += Div(t);
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		power this = this ^ abs([pow])
-		pow is treated as a value without a sign and without a fraction
-		 if pow has a sign then the method pow.Abs() is used
-		 if pow has a fraction the fraction is skipped (not used in calculation)
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect arguments (0^0)
-	*/
-	uint PowUInt(Big<exp, man> pow)
-	{
-		if( IsNan() || pow.IsNan() )
-			return CheckCarry(1);
-
-		if( IsZero() )
-		{
-			if( pow.IsZero() )
-			{
-				SetNan();
-				return 2;
-			}
-
-			// 0^(+something) is zero
-			return 0;
-		}
-
-		if( pow.IsSign() )
-			pow.Abs();
-
-		Big<exp, man> start(*this);
-		Big<exp, man> result;
-		Big<exp, man> one;
-		uint c = 0;
-		one.SetOne();
-		result = one;
-
-		while( !c )
-		{
-			if( pow.Mod2() )
-				c += result.Mul(start);
-
-			c += pow.exponent.SubOne();
-
-			if( pow < one )
-				break;
-
-			c += start.Mul(start);
-		}
-
-		*this = result;
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		power this = this ^ [pow]
-		pow is treated as a value without a fraction
-		pow can be negative
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect arguments 0^0 or 0^(-something)
-	*/
-	uint PowInt(const Big<exp, man> & pow)
-	{
-		if( IsNan() || pow.IsNan() )
-			return CheckCarry(1);
-
-		if( !pow.IsSign() )
-			return PowUInt(pow);
-
-		if( IsZero() )
-		{
-			// if 'pow' is negative then
-			// 'this' must be different from zero
-			SetNan();
-			return 2;
-		}
-
-		Big<exp, man> temp(*this);
-		uint c = temp.PowUInt(pow); // here can only be a carry (result:1)
-
-		SetOne();
-		c += Div(temp);
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		power this = this ^ pow
-		this must be greater than zero (this > 0)
-		pow can be negative and with fraction
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect argument ('this' <= 0)
-	*/
-	uint PowFrac(const Big<exp, man> & pow)
-	{
-		if( IsNan() || pow.IsNan() )
-			return CheckCarry(1);
-
-		Big<exp, man> temp;
-		uint c = temp.Ln(*this);
-
-		if( c != 0 ) // can be 2 from Ln()
-		{
-			SetNan();
-			return c;
-		}
-
-		c += temp.Mul(pow);
-		c += Exp(temp);
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		power this = this ^ pow
-		pow can be negative and with fraction
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect argument ('this' or 'pow')
-	*/
-	uint Pow(const Big<exp, man> & pow)
-	{
-		if( IsNan() || pow.IsNan() )
-			return CheckCarry(1);
-
-		if( IsZero() )
-		{
-			// 0^pow will be 0 only for pow>0
-			if( pow.IsSign() || pow.IsZero() )
-			{
-				SetNan();
-				return 2;
-			}
-
-			SetZero();
-
-		return 0;
-		}
-
-		if( pow.exponent>-sint(man*TTMATH_BITS_PER_UINT) && pow.exponent<=0 )
-		{
-			if( pow.IsInteger() )
-				return PowInt( pow );
-		}
-
-	return PowFrac(pow);
-	}
-
-
-	/*!
-		this function calculates the square root
-		e.g. let this=9 then this.Sqrt() gives 3
-
-		return:
-		-  0 - ok
-		-  1 - carry
-		-  2 - improper argument (this<0 or NaN)
-	*/
-	uint Sqrt()
-	{
-		if( IsNan() || IsSign() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		if( IsZero() )
-			return 0;
-
-		Big<exp, man> old(*this);
-		Big<exp, man> ln;
-		uint c = 0;
-
-		// we're using the formula: sqrt(x) = e ^ (ln(x) / 2)
-		c += ln.Ln(*this);
-		c += ln.exponent.SubOne(); // ln = ln / 2
-		c += Exp(ln);
-
-		// above formula doesn't give accurate results for some integers
-		// e.g. Sqrt(81) would not be 9 but a value very closed to 9
-		// we're rounding the result, calculating result*result and comparing
-		// with the old value, if they are equal then the result is an integer too
-
-		if( !c && old.IsInteger() && !IsInteger() )
-		{
-			Big<exp, man> temp(*this);
-			c += temp.Round();
-
-			Big<exp, man> temp2(temp);
-			c += temp.Mul(temp2);
-
-			if( temp == old )
-				*this = temp2;
-		}
-
-	return CheckCarry(c);
-	}
-
-
-private:
-
-#ifdef TTMATH_CONSTANTSGENERATOR
-public:
-#endif
-
-	/*!
-		Exponent this = exp(x) = e^x where x is in (-1,1)
-
-		we're using the formula exp(x) = 1 + (x)/(1!) + (x^2)/(2!) + (x^3)/(3!) + ...
-	*/
-	void ExpSurrounding0(const Big<exp,man> & x, uint * steps = 0)
-	{
-		TTMATH_REFERENCE_ASSERT( x )
-
-		Big<exp,man> denominator, denominator_i;
-		Big<exp,man> one, old_value, next_part;
-		Big<exp,man> numerator = x;
-
-		SetOne();
-		one.SetOne();
-		denominator.SetOne();
-		denominator_i.SetOne();
-
-		uint i;
-		old_value = *this;
-
-		// we begin from 1 in order to not test at the beginning
-	#ifdef TTMATH_CONSTANTSGENERATOR
-		for(i=1 ; true ; ++i)
-	#else
-		for(i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
-	#endif
-		{
-			bool testing = ((i & 3) == 0); // it means '(i % 4) == 0'
-
-			next_part = numerator;
-
-			if( next_part.Div( denominator ) )
-				// if there is a carry here we only break the loop
-				// however the result we return as good
-				// it means there are too many parts of the formula
-				break;
-
-			// there shouldn't be a carry here
-			Add( next_part );
-
-			if( testing )
-			{
-				if( old_value == *this )
-					// we've added next few parts of the formula but the result
-					// is still the same then we break the loop
-					break;
-				else
-					old_value = *this;
-			}
-
-			// we set the denominator and the numerator for a next part of the formula
-			if( denominator_i.Add(one) )
-				// if there is a carry here the result we return as good
-				break;
-
-			if( denominator.Mul(denominator_i) )
-				break;
-
-			if( numerator.Mul(x) )
-				break;
-		}
-
-		if( steps )
-			*steps = i;
-	}
-
-public:
-
-
-	/*!
-		Exponent this = exp(x) = e^x
-
-		we're using the fact that our value is stored in form of:
-
-			x = mantissa * 2^exponent
-
-		then
-
-			e^x = e^(mantissa* 2^exponent) or
-			e^x = (e^mantissa)^(2^exponent)
-
-		'Exp' returns a carry if we can't count the result ('x' is too big)
-	*/
-	uint Exp(const Big<exp,man> & x)
-	{
-	uint c = 0;
-
-		if( x.IsNan() )
-			return CheckCarry(1);
-
-		if( x.IsZero() )
-		{
-			SetOne();
-		return 0;
-		}
-
-		// m will be the value of the mantissa in range (-1,1)
-		Big<exp,man> m(x);
-		m.exponent = -sint(man*TTMATH_BITS_PER_UINT);
-
-		// 'e_' will be the value of '2^exponent'
-		//   e_.mantissa.table[man-1] = TTMATH_UINT_HIGHEST_BIT;  and
-		//   e_.exponent.Add(1) mean:
-		//     e_.mantissa.table[0] = 1;
-		//     e_.Standardizing();
-		//     e_.exponent.Add(man*TTMATH_BITS_PER_UINT)
-		//     (we must add 'man*TTMATH_BITS_PER_UINT' because we've taken it from the mantissa)
-		Big<exp,man> e_(x);
-		e_.mantissa.SetZero();
-		e_.mantissa.table[man-1] = TTMATH_UINT_HIGHEST_BIT;
-		c += e_.exponent.Add(1);
-		e_.Abs();
-
-		/*
-			now we've got:
-			m - the value of the mantissa in range (-1,1)
-			e_ - 2^exponent
-
-			e_ can be as:
-			...2^-2, 2^-1, 2^0, 2^1, 2^2 ...
-			...1/4 , 1/2 , 1  , 2  , 4   ...
-
-			above one e_ is integer
-
-			if e_ is greater than 1 we calculate the exponent as:
-				e^(m * e_) = ExpSurrounding0(m) ^ e_
-			and if e_ is smaller or equal one we calculate the exponent in this way:
-				e^(m * e_) = ExpSurrounding0(m* e_)
-			because if e_ is smaller or equal 1 then the product of m*e_ is smaller or equal m
-		*/
-
-		if( e_ <= 1 )
-		{
-			m.Mul(e_);
-			ExpSurrounding0(m);
-		}
-		else
-		{
-			ExpSurrounding0(m);
-			c += PowUInt(e_);
-		}
-
-	return CheckCarry(c);
-	}
-
-
-
-
-private:
-
-#ifdef TTMATH_CONSTANTSGENERATOR
-public:
-#endif
-
-	/*!
-		Natural logarithm this = ln(x) where x in range <1,2)
-
-		we're using the formula:
-		ln x = 2 * [ (x-1)/(x+1) + (1/3)((x-1)/(x+1))^3 + (1/5)((x-1)/(x+1))^5 + ... ]
-	*/
-	void LnSurrounding1(const Big<exp,man> & x, uint * steps = 0)
-	{
-		Big<exp,man> old_value, next_part, denominator, one, two, x1(x), x2(x);
-
-		one.SetOne();
-
-		if( x == one )
-		{
-			// LnSurrounding1(1) is 0
-			SetZero();
-			return;
-		}
-
-		two = 2;
-
-		x1.Sub(one);
-		x2.Add(one);
-
-		x1.Div(x2);
-		x2 = x1;
-		x2.Mul(x1);
-
-		denominator.SetOne();
-		SetZero();
-
-		old_value = *this;
-		uint i;
-
-
-	#ifdef TTMATH_CONSTANTSGENERATOR
-		for(i=1 ; true ; ++i)
-	#else
-		// we begin from 1 in order to not test at the beginning
-		for(i=1 ; i<=TTMATH_ARITHMETIC_MAX_LOOP ; ++i)
-	#endif
-		{
-			bool testing = ((i & 3) == 0); // it means '(i % 4) == 0'
-
-			next_part = x1;
-
-			if( next_part.Div(denominator) )
-				// if there is a carry here we only break the loop
-				// however the result we return as good
-				// it means there are too many parts of the formula
-				break;
-
-			// there shouldn't be a carry here
-			Add(next_part);
-
-			if( testing )
-			{
-				if( old_value == *this )
-					// we've added next (step_test) parts of the formula but the result
-					// is still the same then we break the loop
-					break;
-				else
-					old_value = *this;
-			}
-
-			if( x1.Mul(x2) )
-				// if there is a carry here the result we return as good
-				break;
-
-			if( denominator.Add(two) )
-				break;
-		}
-
-		// this = this * 2
-		// ( there can't be a carry here because we calculate the logarithm between <1,2) )
-		exponent.AddOne();
-
-		if( steps )
-			*steps = i;
-	}
-
-
-
-
-public:
-
-
-	/*!
-		Natural logarithm this = ln(x)
-		(a logarithm with the base equal 'e')
-
-		we're using the fact that our value is stored in form of:
-
-			x = mantissa * 2^exponent
-
-		then
-
-			ln(x) = ln (mantissa * 2^exponent) = ln (mantissa) + (exponent * ln (2))
-
-		the mantissa we'll show as a value from range <1,2) because the logarithm
-		is decreasing too fast when 'x' is going to 0
-
-		return values:
-		-  	0 - ok
-		-  	1 - overflow (carry)
-		-  	2 - incorrect argument (x<=0)
-	*/
-	uint Ln(const Big<exp,man> & x)
-	{
-		if( x.IsNan() )
-			return CheckCarry(1);
-
-		if( x.IsSign() || x.IsZero() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		Big<exp,man> exponent_temp;
-		exponent_temp.FromInt( x.exponent );
-
-		// m will be the value of the mantissa in range <1,2)
-		Big<exp,man> m(x);
-		m.exponent = -sint(man*TTMATH_BITS_PER_UINT - 1);
-
-		// we must add 'man*TTMATH_BITS_PER_UINT-1' because we've taken it from the mantissa
-		uint c = exponent_temp.Add(man*TTMATH_BITS_PER_UINT-1);
-
-	    LnSurrounding1(m);
-
-		Big<exp,man> ln2;
-		ln2.SetLn2();
-		c += exponent_temp.Mul(ln2);
-		c += Add(exponent_temp);
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		Logarithm from 'x' with a 'base'
-
-		we're using the formula:
-
-			Log(x) with 'base' = ln(x) / ln(base)
-
-		return values:
-		-  	0 - ok
-		-  	1 - overflow
-		-  	2 - incorrect argument (x<=0)
-		-  	3 - incorrect base (a<=0 or a=1)
-	*/
-	uint Log(const Big<exp,man> & x, const Big<exp,man> & base)
-	{
-		if( x.IsNan() || base.IsNan() )
-			return CheckCarry(1);
-
-		if( x.IsSign() || x.IsZero() )
-		{
-			SetNan();
-			return 2;
-		}
-
-		Big<exp,man> denominator;;
-		denominator.SetOne();
-
-		if( base.IsSign() || base.IsZero() || base==denominator )
-		{
-			SetNan();
-			return 3;
-		}
-
-		if( x == denominator ) // (this is: if x == 1)
-		{
-			// log(1) is 0
-			SetZero();
-			return 0;
-		}
-
-		// another error values we've tested at the beginning
-		// there can only be a carry
-		uint c = Ln(x);
-
-		c += denominator.Ln(base);
-		c += Div(denominator);
-
-	return CheckCarry(c);
-	}
-
-
-
-
-	/*!
-	*
-	*	converting methods
-	*
-	*/
-
-
-	/*!
-		converting from another type of a Big object
-	*/
-	template<uint another_exp, uint another_man>
-	uint FromBig(const Big<another_exp, another_man> & another)
-	{
-		info = another.info;
-
-		if( IsNan() )
-			return 1;
-
-		if( exponent.FromInt(another.exponent) )
-		{
-			SetNan();
-			return 1;
-		}
-
-		uint man_len_min = (man < another_man)? man : another_man;
-		uint i;
-		uint c = 0;
-
-		for( i = 0 ; i<man_len_min ; ++i )
-			mantissa.table[man-1-i] = another.mantissa.table[another_man-1-i];
-
-		for( ; i<man ; ++i )
-			mantissa.table[man-1-i] = 0;
-
-
-		// MS Visual Express 2005 reports a warning (in the lines with 'uint man_diff = ...'):
-		// warning C4307: '*' : integral constant overflow
-		// but we're using 'if( man > another_man )' and 'if( man < another_man )' and there'll be no such situation here
-		#ifdef _MSC_VER
-		#pragma warning( disable: 4307 )
-		#endif
-
-		if( man > another_man )
-		{
-			uint man_diff = (man - another_man) * TTMATH_BITS_PER_UINT;
-			c += exponent.SubInt(man_diff, 0);
-		}
-		else
-		if( man < another_man )
-		{
-			uint man_diff = (another_man - man) * TTMATH_BITS_PER_UINT;
-			c += exponent.AddInt(man_diff, 0);
-		}
-
-		#ifdef _MSC_VER
-		#pragma warning( default: 4307 )
-		#endif
-
-		// mantissa doesn't have to be standardized (either the highest bit is set or all bits are equal zero)
-		CorrectZero();
-
-	return CheckCarry(c);
-	}
-
-
-private:
-
-	/*!
-		an auxiliary method for converting 'this' into 'result'
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToUIntOrInt(uint & result) const
-	{
-		result = 0;
-
-		if( IsZero() )
-			return 0;
-
-		sint maxbit = -sint(man*TTMATH_BITS_PER_UINT);
-
-		if( exponent > maxbit + sint(TTMATH_BITS_PER_UINT) )
-			// if exponent > (maxbit + sint(TTMATH_BITS_PER_UINT)) the value can't be passed
-			// into the 'sint' type (it's too big)
-			return 1;
-
-		if( exponent <= maxbit )
-			// our value is from the range of (-1,1) and we return zero
-			return 0;
-
-		// exponent is from a range of (maxbit, maxbit + sint(TTMATH_BITS_PER_UINT) >
-		// and [maxbit + sint(TTMATH_BITS_PER_UINT] <= 0
-		sint how_many_bits = exponent.ToInt();
-
-		// how_many_bits is negative, we'll make it positive
-		how_many_bits = -how_many_bits;
-
-		result = (mantissa.table[man-1] >> (how_many_bits % TTMATH_BITS_PER_UINT));
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		this method converts 'this' into uint
-	*/
-	uint ToUInt() const
-	{
-	uint result;
-
-		ToUInt(result);
-
-	return result;
-	}
-
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToUInt(uint & result) const
-	{
-		if( ToUIntOrInt(result) )
-			return 1;
-
-		if( IsSign() )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts 'this' into sint
-	*/
-	sint ToInt() const
-	{
-	sint result;
-
-		ToInt(result);
-
-	return result;
-	}
-
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(uint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(sint & result) const
-	{
-	uint result_uint;
-
-		uint c = ToUIntOrInt(result_uint);
-		result = sint(result_uint);
-
-		if( c )
-			return 1;
-
-		uint mask = 0;
-
-		if( IsSign() )
-		{
-			mask = TTMATH_UINT_MAX_VALUE;
-			result = -result;
-		}
-
-	return ((result & TTMATH_UINT_HIGHEST_BIT) == (mask & TTMATH_UINT_HIGHEST_BIT)) ? 0 : 1;
-	}
-
-
-private:
-
-	/*!
-		an auxiliary method for converting 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	template<uint int_size>
-	uint ToUIntOrInt(UInt<int_size> & result) const
-	{
-		result.SetZero();
-
-		if( IsZero() )
-			return 0;
-
-		sint maxbit = -sint(man*TTMATH_BITS_PER_UINT);
-
-		if( exponent > maxbit + sint(int_size*TTMATH_BITS_PER_UINT) )
-			// if exponent > (maxbit + sint(int_size*TTMATH_BITS_PER_UINT)) the value can't be passed
-			// into the 'UInt<int_size>' type (it's too big)
-			return 1;
-
-		if( exponent <= maxbit )
-			// our value is from range (-1,1) and we return zero
-			return 0;
-
-		sint how_many_bits = exponent.ToInt();
-
-		if( how_many_bits < 0 )
-		{
-			how_many_bits = -how_many_bits;
-			uint index    = how_many_bits / TTMATH_BITS_PER_UINT;
-
-			UInt<man> mantissa_temp(mantissa);
-			mantissa_temp.Rcr( how_many_bits % TTMATH_BITS_PER_UINT, 0 );
-
-			for(uint i=index, a=0 ; i<man ; ++i,++a)
-				result.table[a] = mantissa_temp.table[i];
-		}
-		else
-		{
-			uint index = how_many_bits / TTMATH_BITS_PER_UINT;
-
-			if( index + (man-1) < int_size )
-			{
-				// above 'if' is always true
-				// this is only to get rid of a warning "warning: array subscript is above array bounds"
-				// (from gcc)
-				// we checked the condition there: "if( exponent > maxbit + sint(int_size*TTMATH_BITS_PER_UINT) )"
-				// but gcc doesn't understand our types - exponent is Int<>
-
-				for(uint i=0 ; i<man ; ++i)
-					result.table[index+i] = mantissa.table[i];
-			}
-
-			result.Rcl( how_many_bits % TTMATH_BITS_PER_UINT, 0 );
-		}
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	template<uint int_size>
-	uint ToUInt(UInt<int_size> & result) const
-	{
-		uint c = ToUIntOrInt(result);
-
-		if( c )
-			return 1;
-
-		if( IsSign() )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	template<uint int_size>
-	uint ToInt(UInt<int_size> & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts 'this' into 'result'
-
-		if the value is too big this method returns a carry (1)
-	*/
-	template<uint int_size>
-	uint ToInt(Int<int_size> & result) const
-	{
-		uint c = ToUIntOrInt(result);
-
-		if( c )
-			return 1;
-
-		uint mask = 0;
-
-		if( IsSign() )
-		{
-			result.ChangeSign();
-			mask = TTMATH_UINT_MAX_VALUE;
-		}
-
-	return ((result.table[int_size-1] & TTMATH_UINT_HIGHEST_BIT) == (mask & TTMATH_UINT_HIGHEST_BIT))? 0 : 1;
-	}
-
-
-	/*!
-		a method for converting 'uint' to this class
-	*/
-	uint FromUInt(uint value)
-	{
-		if( value == 0 )
-		{
-			SetZero();
-			return 0;
-		}
-
-		info = 0;
-
-		for(uint i=0 ; i<man-1 ; ++i)
-			mantissa.table[i] = 0;
-
-		mantissa.table[man-1] = value;
-		exponent = -sint(man-1) * sint(TTMATH_BITS_PER_UINT);
-
-		// there shouldn't be a carry because 'value' has the 'uint' type
-		Standardizing();
-
-	return 0;
-	}
-
-
-	/*!
-		a method for converting 'uint' to this class
-	*/
-	uint FromInt(uint value)
-	{
-		return FromUInt(value);
-	}
-
-
-	/*!
-		a method for converting 'sint' to this class
-	*/
-	uint FromInt(sint value)
-	{
-	bool is_sign = false;
-
-		if( value < 0 )
-		{
-			value   = -value;
-			is_sign = true;
-		}
-
-		FromUInt(uint(value));
-
-		if( is_sign )
-			SetSign();
-
-	return 0;
-	}
-
-
-
-	/*!
-		this method converts from standard double into this class
-
-		standard double means IEEE-754 floating point value with 64 bits
-		it is as follows (from http://www.psc.edu/general/software/packages/ieee/ieee.html):
-
-		The IEEE double precision floating point standard representation requires
-		a 64 bit word, which may be represented as numbered from 0 to 63, left to
-		right. The first bit is the sign bit, S, the next eleven bits are the
-		exponent bits, 'E', and the final 52 bits are the fraction 'F':
-
-			S EEEEEEEEEEE FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
-			0 1        11 12                                                63
-
-		The value V represented by the word may be determined as follows:
-
-		- If E=2047 and F is nonzero, then V=NaN ("Not a number")
-		- If E=2047 and F is zero and S is 1, then V=-Infinity
-		- If E=2047 and F is zero and S is 0, then V=Infinity
-		- If 0<E<2047 then V=(-1)**S * 2 ** (E-1023) * (1.F) where "1.F" is intended
-		  to represent the binary number created by prefixing F with an implicit
-		  leading 1 and a binary point.
-		- If E=0 and F is nonzero, then V=(-1)**S * 2 ** (-1022) * (0.F) These are
-		  "unnormalized" values.
-		- If E=0 and F is zero and S is 1, then V=-0
-		- If E=0 and F is zero and S is 0, then V=0
-	*/
-
-#ifdef TTMATH_PLATFORM32
-
-	uint FromDouble(double value)
-	{
-		// I am not sure what will be on a platform which has
-		// a different endianness... but we use this library only
-		// on x86 and amd (intel) 64 bits (as there's a lot of assembler code)
-		union
-		{
-			double d;
-			uint u[2]; // two 32bit words
-		} temp;
-
-		temp.d = value;
-
-		sint e  = ( temp.u[1] & 0x7FF00000u) >> 20;
-		uint m1 = ((temp.u[1] &    0xFFFFFu) << 11) | (temp.u[0] >> 21);
-		uint m2 = temp.u[0] << 11;
-
-		if( e == 2047 )
-		{
-			// If E=2047 and F is nonzero, then V=NaN ("Not a number")
-			// If E=2047 and F is zero and S is 1, then V=-Infinity
-			// If E=2047 and F is zero and S is 0, then V=Infinity
-
-			// we do not support -Infinity and +Infinity
-			// we assume that there is always NaN
-
-			SetNan();
-		}
-		else
-		if( e > 0 )
-		{
-			// If 0<E<2047 then
-			// V=(-1)**S * 2 ** (E-1023) * (1.F)
-			// where "1.F" is intended to represent the binary number
-			// created by prefixing F with an implicit leading 1 and a binary point.
-
-			FromDouble_SetExpAndMan((temp.u[1] & 0x80000000u) != 0,
-									e - 1023 - man*TTMATH_BITS_PER_UINT + 1, 0x80000000u,
-									m1, m2);
-
-			// we do not have to call Standardizing() here
-			// because the mantissa will have the highest bit set
-		}
-		else
-		{
-			// e == 0
-
-			if( m1 != 0 || m2 != 0 )
-			{
-				// If E=0 and F is nonzero,
-				// then V=(-1)**S * 2 ** (-1022) * (0.F)
-				// These are "unnormalized" values.
-
-				UInt<2> m;
-				m.table[1] = m1;
-				m.table[0] = m2;
-				uint moved = m.CompensationToLeft();
-
-				FromDouble_SetExpAndMan((temp.u[1] & 0x80000000u) != 0,
-										e - 1022 - man*TTMATH_BITS_PER_UINT + 1 - moved, 0,
-										m.table[1], m.table[0]);
-			}
-			else
-			{
-				// If E=0 and F is zero and S is 1, then V=-0
-				// If E=0 and F is zero and S is 0, then V=0
-
-				// we do not support -0 or 0, only is one 0
-				SetZero();
-			}
-		}
-
-	return 0; // never be a carry
-	}
-
-
-private:
-
-	void FromDouble_SetExpAndMan(bool is_sign, int e, uint mhighest, uint m1, uint m2)
-	{
-		exponent = e;
-
-		if( man > 1 )
-		{
-			mantissa.table[man-1] = m1 | mhighest;
-			mantissa.table[sint(man-2)] = m2;
-			// although man>1 we're using casting into sint
-			// to get rid from a warning which generates Microsoft Visual:
-			// warning C4307: '*' : integral constant overflow
-
-			for(uint i=0 ; i<man-2 ; ++i)
-				mantissa.table[i] = 0;
-		}
-		else
-		{
-			mantissa.table[0] = m1 | mhighest;
-		}
-
-		info = 0;
-
-		// the value should be different from zero
-		TTMATH_ASSERT( mantissa.IsZero() == false )
-
-		if( is_sign )
-			SetSign();
-	}
-
-
-#else
-
-public:
-
-	// 64bit platforms
-	uint FromDouble(double value)
-	{
-		// I am not sure what will be on a plaltform which has
-		// a different endianness... but we use this library only
-		// on x86 and amd (intel) 64 bits (as there's a lot of assembler code)
-		union
-		{
-			double d;
-			uint u; // one 64bit word
-		} temp;
-
-		temp.d = value;
-
-		sint e = (temp.u & 0x7FF0000000000000ul) >> 52;
-		uint m = (temp.u &    0xFFFFFFFFFFFFFul) << 11;
-
-		if( e == 2047 )
-		{
-			// If E=2047 and F is nonzero, then V=NaN ("Not a number")
-			// If E=2047 and F is zero and S is 1, then V=-Infinity
-			// If E=2047 and F is zero and S is 0, then V=Infinity
-
-			// we do not support -Infinity and +Infinity
-			// we assume that there is always NaN
-
-			SetNan();
-		}
-		else
-		if( e > 0 )
-		{
-			// If 0<E<2047 then
-			// V=(-1)**S * 2 ** (E-1023) * (1.F)
-			// where "1.F" is intended to represent the binary number
-			// created by prefixing F with an implicit leading 1 and a binary point.
-
-			FromDouble_SetExpAndMan((temp.u & 0x8000000000000000ul) != 0,
-									e - 1023 - man*TTMATH_BITS_PER_UINT + 1,
-									0x8000000000000000ul, m);
-
-			// we do not have to call Standardizing() here
-			// because the mantissa will have the highest bit set
-		}
-		else
-		{
-			// e == 0
-
-			if( m != 0 )
-			{
-				// If E=0 and F is nonzero,
-				// then V=(-1)**S * 2 ** (-1022) * (0.F)
-				// These are "unnormalized" values.
-
-				FromDouble_SetExpAndMan(bool(temp.u & 0x8000000000000000ul),
-										e - 1022 - man*TTMATH_BITS_PER_UINT + 1, 0, m);
-				Standardizing();
-			}
-			else
-			{
-				// If E=0 and F is zero and S is 1, then V=-0
-				// If E=0 and F is zero and S is 0, then V=0
-
-				// we do not support -0 or 0, only is one 0
-				SetZero();
-			}
-		}
-
-	return 0; // never be a carry
-	}
-
-private:
-
-	void FromDouble_SetExpAndMan(bool is_sign, sint e, uint mhighest, uint m)
-	{
-		exponent = e;
-		mantissa.table[man-1] = m | mhighest;
-
-		for(uint i=0 ; i<man-1 ; ++i)
-			mantissa.table[i] = 0;
-
-		info = 0;
-
-		// the value should be different from zero
-		TTMATH_ASSERT( mantissa.IsZero() == false )
-
-		if( is_sign )
-			SetSign();
-	}
-
-#endif
-
-
-public:
-
-
-	/*!
-		this method converts from float to this class
-	*/
-	uint FromFloat(float value)
-	{
-		return FromDouble(double(value));
-	}
-
-
-	/*!
-		this method converts from this class into the 'double'
-
-		if the value is too big:
-			'result' will be +/-infinity (depending on the sign)
-
-		if the value is too small:
-			'result' will be 0
-	*/
-	double ToDouble() const
-	{
-	double result;
-
-		ToDouble(result);
-
-	return result;
-	}
-
-
-private:
-
-
-	/*!
-		an auxiliary method to check if the float value is +/-infinity
-		we provide this method because isinf(float) in only in C99 language
-
-		description taken from: http://www.psc.edu/general/software/packages/ieee/ieee.php
-
-		The IEEE single precision floating point standard representation requires a 32 bit word,
-		which may be represented as numbered from 0 to 31, left to right.
-		The first bit is the sign bit, S, the next eight bits are the exponent bits, 'E',
-		and the final 23 bits are the fraction 'F':
-
-			S EEEEEEEE FFFFFFFFFFFFFFFFFFFFFFF
-			0 1      8 9                    31
-
-		The value V represented by the word may be determined as follows:
-
-		- If E=255 and F is nonzero, then V=NaN ("Not a number")
-		- If E=255 and F is zero and S is 1, then V=-Infinity
-		- If E=255 and F is zero and S is 0, then V=Infinity
-		- If 0<E<255 then V=(-1)**S * 2 ** (E-127) * (1.F) where "1.F" is intended to represent
-		  the binary number created by prefixing F with an implicit leading 1 and a binary point.
-		- If E=0 and F is nonzero, then V=(-1)**S * 2 ** (-126) * (0.F) These are "unnormalized" values.
-		- If E=0 and F is zero and S is 1, then V=-0
-		- If E=0 and F is zero and S is 0, then V=0
-	*/
-	bool IsInf(float value) const
-	{
-		// CHECK ME
-		// need testing on a 64 bit machine
-
-		union
-		{
-			float d;
-			uint u;
-		} temp;
-
-		temp.d = value;
-
-		if( ((temp.u >> 23) & 0xff) == 0xff )
-		{
-			if( (temp.u & 0x7FFFFF) == 0 )
-				return true; // +/- infinity
-		}
-
-	return false;
-	}
-
-
-public:
-
-	/*!
-		this method converts from this class into the 'float'
-
-		if the value is too big:
-			'result' will be +/-infinity (depending on the sign)
-
-		if the value is too small:
-			'result' will be 0
-	*/
-	float ToFloat() const
-	{
-	float result;
-
-		ToFloat(result);
-
-	return result;
-	}
-
-
-	/*!
-		this method converts from this class into the 'float'
-
-		if the value is too big:
-		-  	'result' will be +/-infinity (depending on the sign)
-		-	and the method returns 1
-
-		if the value is too small:
-		-	'result' will be 0
-		-	and the method returns 1
-	*/
-	uint ToFloat(float & result) const
-	{
-	double result_double;
-
-		uint c = ToDouble(result_double);
-		result = float(result_double);
-
-		if( result == -0.0f )
-			result = 0.0f;
-
-		if( c )
-			return 1;
-
-		// although the result_double can have a correct value
-		// but after converting to float there can be infinity
-
-		if( IsInf(result) )
-			return 1;
-
-		if( result == 0.0f && result_double != 0.0 )
-			// result_double was too small for float
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts from this class into the 'double'
-
-		if the value is too big:
-		-	'result' will be +/-infinity (depending on the sign)
-		-	and the method returns 1
-
-		if the value is too small:
-		-	'result' will be 0
-		-	and the method returns 1
-	*/
-	uint ToDouble(double & result) const
-	{
-		if( IsZero() )
-		{
-			result = 0.0;
-			return 0;
-		}
-
-		if( IsNan() )
-		{
-			result = ToDouble_SetDouble( false, 2047, 0, false, true);
-
-		return 0;
-		}
-
-		sint e_correction = sint(man*TTMATH_BITS_PER_UINT) - 1;
-
-		if( exponent >= 1024 - e_correction )
-		{
-			// +/- infinity
-			result = ToDouble_SetDouble( IsSign(), 2047, 0, true);
-
-		return 1;
-		}
-		else
-		if( exponent <= -1023 - 52 - e_correction )
-		{
-			// too small value - we assume that there'll be a zero
-			result = 0;
-
-			// and return a carry
-		return 1;
-		}
-
-		sint e = exponent.ToInt() + e_correction;
-
-		if( e <= -1023 )
-		{
-			// -1023-52 < e <= -1023  (unnormalized value)
-			result = ToDouble_SetDouble( IsSign(), 0, -(e + 1023));
-		}
-		else
-		{
-			// -1023 < e < 1024
-			result = ToDouble_SetDouble( IsSign(), e + 1023, -1);
-		}
-
-	return 0;
-	}
-
-private:
-
-#ifdef TTMATH_PLATFORM32
-
-	// 32bit platforms
-	double ToDouble_SetDouble(bool is_sign, uint e, sint move, bool infinity = false, bool nan = false) const
-	{
-		union
-		{
-			double d;
-			uint u[2]; // two 32bit words
-		} temp;
-
-		temp.u[0] = temp.u[1] = 0;
-
-		if( is_sign )
-			temp.u[1] |= 0x80000000u;
-
-		temp.u[1] |= (e << 20) & 0x7FF00000u;
-
-		if( nan )
-		{
-			temp.u[0] |= 1;
-			return temp.d;
-		}
-
-		if( infinity )
-			return temp.d;
-
-		UInt<2> m;
-		m.table[1] = mantissa.table[man-1];
-		m.table[0] = ( man > 1 ) ? mantissa.table[sint(man-2)] : 0;
-		// although man>1 we're using casting into sint
-		// to get rid from a warning which generates Microsoft Visual:
-		// warning C4307: '*' : integral constant overflow
-
-		m.Rcr( 12 + move );
-		m.table[1] &= 0xFFFFFu; // cutting the 20 bit (when 'move' was -1)
-
-		temp.u[1] |= m.table[1];
-		temp.u[0] |= m.table[0];
-
-	return temp.d;
-	}
-
-#else
-
-	// 64bit platforms
-	double ToDouble_SetDouble(bool is_sign, uint e, sint move, bool infinity = false, bool nan = false) const
-	{
-		union
-		{
-			double d;
-			uint u; // 64bit word
-		} temp;
-
-		temp.u = 0;
-
-		if( is_sign )
-			temp.u |= 0x8000000000000000ul;
-
-		temp.u |= (e << 52) & 0x7FF0000000000000ul;
-
-		if( nan )
-		{
-			temp.u |= 1;
-			return temp.d;
-		}
-
-		if( infinity )
-			return temp.d;
-
-		uint m = mantissa.table[man-1];
-
-		m >>= ( 12 + move );
-		m &= 0xFFFFFFFFFFFFFul; // cutting the 20 bit (when 'move' was -1)
-		temp.u |= m;
-
-	return temp.d;
-	}
-
-#endif
-
-
-public:
-
-
-	/*!
-		an operator= for converting 'sint' to this class
-	*/
-	Big<exp, man> & operator=(sint value)
-	{
-		FromInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		an operator= for converting 'uint' to this class
-	*/
-	Big<exp, man> & operator=(uint value)
-	{
-		FromUInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		an operator= for converting 'float' to this class
-	*/
-	Big<exp, man> & operator=(float value)
-	{
-		FromFloat(value);
-
-	return *this;
-	}
-
-
-	/*!
-		an operator= for converting 'double' to this class
-	*/
-	Big<exp, man> & operator=(double value)
-	{
-		FromDouble(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 'sint' to this class
-	*/
-	Big(sint value)
-	{
-		FromInt(value);
-	}
-
-	/*!
-		a constructor for converting 'uint' to this class
-	*/
-	Big(uint value)
-	{
-		FromUInt(value);
-	}
-
-
-	/*!
-		a constructor for converting 'double' to this class
-	*/
-	Big(double value)
-	{
-		FromDouble(value);
-	}
-
-
-	/*!
-		a constructor for converting 'float' to this class
-	*/
-	Big(float value)
-	{
-		FromFloat(value);
-	}
-
-
-#ifdef TTMATH_PLATFORM32
-
-	/*!
-		this method converts 'this' into 'result' (64 bit unsigned integer)
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToUInt(ulint & result) const
-	{
-	UInt<2> temp; // 64 bits container
-
-		uint c = ToUInt(temp);
-		temp.ToUInt(result);
-
-	return c;
-	}
-
-
-	/*!
-		this method converts 'this' into 'result' (64 bit unsigned integer)
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(ulint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts 'this' into 'result' (64 bit unsigned integer)
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(slint & result) const
-	{
-	Int<2> temp; // 64 bits container
-
-		uint c = ToInt(temp);
-		temp.ToInt(result);
-
-	return c;
-	}
-
-
-	/*!
-		a method for converting 'ulint' (64bit unsigned integer) to this class
-	*/
-	uint FromUInt(ulint value)
-	{
-		if( value == 0 )
-		{
-			SetZero();
-			return 0;
-		}
-
-		info = 0;
-
-		if( man == 1 )
-		{
-			sint bit = mantissa.FindLeadingBitInWord(uint(value >> TTMATH_BITS_PER_UINT));
-
-			if( bit != -1 )
-			{
-				// the highest word from value is different from zero
-				bit += 1;
-				value >>= bit;
-				exponent = bit;
-			}
-			else
-			{
-				exponent.SetZero();
-			}
-
-			mantissa.table[0] = uint(value);
-		}
-		else
-		{
-		#ifdef _MSC_VER
-		//warning C4307: '*' : integral constant overflow
-		#pragma warning( disable: 4307 )
-		#endif
-
-			// man >= 2
-			mantissa.table[man-1] = uint(value >> TTMATH_BITS_PER_UINT);
-			mantissa.table[man-2] = uint(value);
-
-		#ifdef _MSC_VER
-		//warning C4307: '*' : integral constant overflow
-		#pragma warning( default: 4307 )
-		#endif
-
-			exponent = -sint(man-2) * sint(TTMATH_BITS_PER_UINT);
-
-			for(uint i=0 ; i<man-2 ; ++i)
-				mantissa.table[i] = 0;
-		}
-
-		// there shouldn't be a carry because 'value' has the 'ulint' type
-		// (we have	sufficient exponent)
-		Standardizing();
-
-	return 0;
-	}
-
-
-	/*!
-		a method for converting 'ulint' (64bit unsigned integer) to this class
-	*/
-	uint FromInt(ulint value)
-	{
-		return FromUInt(value);
-	}
-
-
-	/*!
-		a method for converting 'slint' (64bit signed integer) to this class
-	*/
-	uint FromInt(slint value)
-	{
-	bool is_sign = false;
-
-		if( value < 0 )
-		{
-			value   = -value;
-			is_sign = true;
-		}
-
-		FromUInt(ulint(value));
-
-		if( is_sign )
-			SetSign();
-
-	return 0;
-	}
-
-
-	/*!
-		a constructor for converting 'ulint' (64bit unsigned integer) to this class
-	*/
-	Big(ulint value)
-	{
-		FromUInt(value);
-	}
-
-
-	/*!
-		an operator for converting 'ulint' (64bit unsigned integer) to this class
-	*/
-	Big<exp, man> & operator=(ulint value)
-	{
-		FromUInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 'slint' (64bit signed integer) to this class
-	*/
-	Big(slint value)
-	{
-		FromInt(value);
-	}
-
-
-	/*!
-		an operator for converting 'slint' (64bit signed integer) to this class
-	*/
-	Big<exp, man> & operator=(slint value)
-	{
-		FromInt(value);
-
-	return *this;
-	}
-
-#endif
-
-
-
-#ifdef TTMATH_PLATFORM64
-
-
-	/*!
-		this method converts 'this' into 'result' (32 bit unsigned integer)
-		***this method is created only on a 64bit platform***
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToUInt(unsigned int & result) const
-	{
-	uint result_uint;
-
-		uint c = ToUInt(result_uint);
-		result = (unsigned int)result_uint;
-
-		if( c || result_uint != uint(result) )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts 'this' into 'result' (32 bit unsigned integer)
-		***this method is created only on a 64bit platform***
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(unsigned int & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts 'this' into 'result' (32 bit signed integer)
-		***this method is created only on a 64bit platform***
-		if the value is too big this method returns a carry (1)
-	*/
-	uint ToInt(signed int & result) const
-	{
-	sint result_sint;
-
-		uint c = ToInt(result_sint);
-		result = (signed int)result_sint;
-
-		if( c || result_sint != sint(result) )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*
-		this method converts 32 bit unsigned int to this class
-		***this method is created only on a 64bit platform***
-	*/
-	uint FromUInt(unsigned int value)
-	{
-		return FromUInt(uint(value));
-	}
-
-
-	/*
-		this method converts 32 bit unsigned int to this class
-		***this method is created only on a 64bit platform***
-	*/
-	uint FromInt(unsigned int value)
-	{
-		return FromUInt(uint(value));
-	}
-
-
-	/*
-		this method converts 32 bit signed int to this class
-		***this method is created only on a 64bit platform***
-	*/
-	uint FromInt(signed int value)
-	{
-		return FromInt(sint(value));
-	}
-
-
-	/*!
-		an operator= for converting 32 bit unsigned int to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	Big<exp, man> & operator=(unsigned int value)
-	{
-		FromUInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit unsigned int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	Big(unsigned int value)
-	{
-		FromUInt(value);
-	}
-
-
-	/*!
-		an operator for converting 32 bit signed int to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	Big<exp, man> & operator=(signed int value)
-	{
-		FromInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit signed int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	Big(signed int value)
-	{
-		FromInt(value);
-	}
-
-#endif
-
-
-private:
-
-	/*!
-		an auxiliary method for converting from UInt and Int
-
-		we assume that there'll never be a carry here
-		(we have an exponent and the value in Big can be bigger than
-		that one from the UInt)
-	*/
-	template<uint int_size>
-	uint FromUIntOrInt(const UInt<int_size> & value, sint compensation)
-	{
-		uint minimum_size = (int_size < man)? int_size : man;
-		exponent          = (sint(int_size)-sint(man)) * sint(TTMATH_BITS_PER_UINT) - compensation;
-
-		// copying the highest words
-		uint i;
-		for(i=1 ; i<=minimum_size ; ++i)
-			mantissa.table[man-i] = value.table[int_size-i];
-
-		// setting the rest of mantissa.table into zero (if some has left)
-		for( ; i<=man ; ++i)
-			mantissa.table[man-i] = 0;
-
-		// the highest bit is either one or zero (when the whole mantissa is zero)
-		// we can only call CorrectZero()
-		CorrectZero();
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		a method for converting from 'UInt<int_size>' to this class
-	*/
-	template<uint int_size>
-	uint FromUInt(UInt<int_size> value)
-	{
-		info = 0;
-		sint compensation = (sint)value.CompensationToLeft();
-
-	return FromUIntOrInt(value, compensation);
-	}
-
-
-	/*!
-		a method for converting from 'UInt<int_size>' to this class
-	*/
-	template<uint int_size>
-	uint FromInt(const UInt<int_size> & value)
-	{
-		return FromUInt(value);
-	}
-
-
-	/*!
-		a method for converting from 'Int<int_size>' to this class
-	*/
-	template<uint int_size>
-	uint FromInt(Int<int_size> value)
-	{
-		info = 0;
-		bool is_sign = false;
-
-		if( value.IsSign() )
-		{
-			value.ChangeSign();
-			is_sign = true;
-		}
-
-		sint compensation = (sint)value.CompensationToLeft();
-		FromUIntOrInt(value, compensation);
-
-		if( is_sign )
-			SetSign();
-
-	return 0;
-	}
-
-
-	/*!
-		an operator= for converting from 'Int<int_size>' to this class
-	*/
-	template<uint int_size>
-	Big<exp,man> & operator=(const Int<int_size> & value)
-	{
-		FromInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting from 'Int<int_size>' to this class
-	*/
-	template<uint int_size>
-	Big(const Int<int_size> & value)
-	{
-		FromInt(value);
-	}
-
-
-	/*!
-		an operator= for converting from 'UInt<int_size>' to this class
-	*/
-	template<uint int_size>
-	Big<exp,man> & operator=(const UInt<int_size> & value)
-	{
-		FromUInt(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting from 'UInt<int_size>' to this class
-	*/
-	template<uint int_size>
-	Big(const UInt<int_size> & value)
-	{
-		FromUInt(value);
-	}
-
-
-	/*!
-		an operator= for converting from 'Big<another_exp, another_man>' to this class
-	*/
-	template<uint another_exp, uint another_man>
-	Big<exp,man> & operator=(const Big<another_exp, another_man> & value)
-	{
-		FromBig(value);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting from 'Big<another_exp, another_man>' to this class
-	*/
-	template<uint another_exp, uint another_man>
-	Big(const Big<another_exp, another_man> & value)
-	{
-		FromBig(value);
-	}
-
-
-	/*!
-		a default constructor
-
-		by default we don't set any of the members to zero
-		only NaN flag is set
-
-		if you want the mantissa and exponent to be set to zero
-		define TTMATH_BIG_DEFAULT_CLEAR macro
-		(useful for debug purposes)
-	*/
-	Big()
-	{
-		#ifdef TTMATH_BIG_DEFAULT_CLEAR
-
-			SetZeroNan();
-
-		#else
-
-			info = TTMATH_BIG_NAN;
-			// we're directly setting 'info' (instead of calling SetNan())
-			// in order to get rid of a warning saying that 'info' is uninitialized
-
-		#endif
-	}
-
-
-	/*!
-		a destructor
-	*/
-	~Big()
-	{
-	}
-
-
-	/*!
-		the default assignment operator
-	*/
-	Big<exp,man> & operator=(const Big<exp,man> & value)
-	{
-		info     = value.info;
-		exponent = value.exponent;
-		mantissa = value.mantissa;
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for copying from another object of this class
-	*/
-
-	Big(const Big<exp,man> & value)
-	{
-		operator=(value);
-	}
-
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-
-		return value:
-		-  0 - ok and 'result' will be an object of type std::string (or std::wstring) which holds the value
-		-  1 - if there is a carry (it shoudn't be in a normal situation - if it is that means there
-			   is somewhere an error in the library)
-	*/
-	uint ToString(	std::string & result,
-					uint base         = 10,
-					bool scient       = false,
-					sint scient_from  = 15,
-					sint round        = -1,
-					bool trim_zeroes  = true,
-					char comma     = '.' ) const
-	{
-		Conv conv;
-
-		conv.base         = base;
-		conv.scient       = scient;
-		conv.scient_from  = scient_from;
-		conv.round        = round;
-		conv.trim_zeroes  = trim_zeroes;
-		conv.comma        = static_cast<uint>(comma);
-
-	return ToStringBase<std::string, char>(result, conv);
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	uint ToString(std::string & result, const Conv & conv) const
-	{
-		return ToStringBase<std::string, char>(result, conv);
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	std::string ToString(const Conv & conv) const
-	{
-		std::string result;
-		ToStringBase<std::string, char>(result, conv);
-
-	return result;
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	std::string ToString(uint base = 10) const
-	{
-		Conv conv;
-		conv.base = base;
-
-	return ToString(conv);
-	}
-
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	uint ToString(	std::wstring & result,
-					uint base         = 10,
-					bool scient       = false,
-					sint scient_from  = 15,
-					sint round        = -1,
-					bool trim_zeroes  = true,
-					wchar_t comma     = '.' ) const
-	{
-		Conv conv;
-
-		conv.base         = base;
-		conv.scient       = scient;
-		conv.scient_from  = scient_from;
-		conv.round        = round;
-		conv.trim_zeroes  = trim_zeroes;
-		conv.comma        = static_cast<uint>(comma);
-
-	return ToStringBase<std::wstring, wchar_t>(result, conv);
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	uint ToString(std::wstring & result, const Conv & conv) const
-	{
-		return ToStringBase<std::wstring, wchar_t>(result, conv);
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	std::wstring ToWString(const Conv & conv) const
-	{
-		std::wstring result;
-		ToStringBase<std::wstring, wchar_t>(result, conv);
-
-	return result;
-	}
-
-
-	/*!
-		a method for converting into a string
-		struct Conv is defined in ttmathtypes.h, look there for more information about parameters
-	*/
-	std::wstring ToWString(uint base = 10) const
-	{
-		Conv conv;
-		conv.base = base;
-
-	return ToWString(conv);
-	}
-
-#endif
-
-
-
-private:
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	uint ToStringBase(string_type & result, const Conv & conv) const
-	{
-		static char error_overflow_msg[] = "overflow";
-		static char error_nan_msg[]      = "NaN";
-		result.erase();
-
-		if( IsNan() )
-		{
-			Misc::AssignString(result, error_nan_msg);
-			return 0;
-		}
-
-		if( conv.base<2 || conv.base>16 )
-		{
-			Misc::AssignString(result, error_overflow_msg);
-			return 1;
-		}
-
-		if( IsZero() )
-		{
-			result = '0';
-
-		return 0;
-		}
-
-		/*
-			since 'base' is greater or equal 2 that 'new_exp' of type 'Int<exp>' should
-			hold the new value of exponent but we're using 'Int<exp+1>' because
-			if the value for example would be 'max()' then we couldn't show it
-
-				max() ->  11111111 * 2 ^ 11111111111  (bin)(the mantissa and exponent have all bits set)
-				if we were using 'Int<exp>' we couldn't show it in this format:
-				1,1111111 * 2 ^ 11111111111  (bin)
-				because we have to add something to the mantissa and because
-				mantissa is full we can't do it and it'll be a carry
-				(look at ToString_SetCommaAndExponent(...))
-
-				when the base would be greater than two (for example 10)
-				we could use 'Int<exp>' here
-		*/
-		Int<exp+1> new_exp;
-
-		if( ToString_CreateNewMantissaAndExponent<string_type, char_type>(result, conv, new_exp) )
-		{
-			Misc::AssignString(result, error_overflow_msg);
-			return 1;
-		}
-
-
-		if( ToString_SetCommaAndExponent<string_type, char_type>(result, conv, new_exp) )
-		{
-			Misc::AssignString(result, error_overflow_msg);
-			return 1;
-		}
-
-		if( IsSign() )
-			result.insert(result.begin(), '-');
-
-
-	// converted successfully
-	return 0;
-	}
-
-
-
-	/*!
-		in the method 'ToString_CreateNewMantissaAndExponent()' we're using
-		type 'Big<exp+1,man>' and we should have the ability to use some
-		necessary methods from that class (methods which are private here)
-	*/
-	friend class Big<exp-1,man>;
-
-
-	/*!
-		an auxiliary method for converting into the string
-
-		input:
-			base - the base in range <2,16>
-
-		output:
-			return values:
-				0 - ok
-				1 - if there was a carry
-			new_man - the new mantissa for 'base'
-			new_exp - the new exponent for 'base'
-
-		mathematic part:
-
-		the value is stored as:
-			value = mantissa * 2^exponent
-		we want to show 'value' as:
-			value = new_man * base^new_exp
-
-		then 'new_man' we'll print using the standard method from UInt<> type for printing
-		and 'new_exp' is the offset of the comma operator in a system of a base 'base'
-
-		value = mantissa * 2^exponent
-		value = mantissa * 2^exponent * (base^new_exp / base^new_exp)
-		value = mantissa * (2^exponent / base^new_exp) * base^new_exp
-
-		look at the part (2^exponent / base^new_exp), there'll be good if we take
-		a 'new_exp' equal that value when the (2^exponent / base^new_exp) will be equal one
-
-		on account of the 'base' is not as power of 2 (can be from 2 to 16),
-		this formula will not be true for integer 'new_exp' then in our case we take
-		'base^new_exp' _greater_ than '2^exponent'
-
-		if 'base^new_exp' were smaller than '2^exponent' the new mantissa could be
-		greater than the max value of the container UInt<man>
-
-		value = mantissa * (2^exponent / base^new_exp) * base^new_exp
-		  let M = mantissa * (2^exponent / base^new_exp) then
-		value = M * base^new_exp
-
-		in our calculation we treat M as floating value showing it as:
-			M = mm * 2^ee where ee will be <= 0
-
-		next we'll move all bits of mm into the right when ee is equal zero
-		abs(ee) must not be too big that only few bits from mm we can leave
-
-		then we'll have:
-			M = mmm * 2^0
-		'mmm' is the new_man which we're looking for
-
-
-		new_exp we calculate in this way:
-			2^exponent <= base^new_exp
-			new_exp >= log base (2^exponent)   <- logarithm with the base 'base' from (2^exponent)
-
-			but we need new_exp as integer then we test:
-			if new_exp is greater than zero and with fraction we add one to new_exp
-			  new_exp = new_exp + 1    (if new_exp>0 and with fraction)
-			and at the end we take the integer part:
-			  new_exp = int(new_exp)
-	*/
-	template<class string_type, class char_type>
-	uint ToString_CreateNewMantissaAndExponent(	string_type & new_man, const Conv & conv,
-												Int<exp+1> & new_exp) const
-	{
-	uint c = 0;
-
-		if( conv.base<2 || conv.base>16 )
-			return 1;
-
-		// special method for base equal 2
-		if( conv.base == 2 )
-			return ToString_CreateNewMantissaAndExponent_Base2(new_man, new_exp);
-
-		// special method for base equal 4
-		if( conv.base == 4 )
-			return ToString_CreateNewMantissaAndExponent_BasePow2(new_man, new_exp, 2);
-
-		// special method for base equal 8
-		if( conv.base == 8 )
-			return ToString_CreateNewMantissaAndExponent_BasePow2(new_man, new_exp, 3);
-
-		// special method for base equal 16
-		if( conv.base == 16 )
-			return ToString_CreateNewMantissaAndExponent_BasePow2(new_man, new_exp, 4);
-
-
-		// this = mantissa * 2^exponent
-
-		// temp = +1 * 2^exponent
-		// we're using a bigger type than 'big<exp,man>' (look below)
-		Big<exp+1,man> temp;
-		temp.info = 0;
-		temp.exponent = exponent;
-		temp.mantissa.SetOne();
-		c += temp.Standardizing();
-
-		// new_exp_ = log base (2^exponent)
-		// if new_exp_ is positive and with fraction then we add one
-		Big<exp+1,man> new_exp_;
-		c += new_exp_.ToString_Log(temp, conv.base); // this logarithm isn't very complicated
-
-		// rounding up to the nearest integer
-		if( !new_exp_.IsInteger() )
-		{
-			if( !new_exp_.IsSign() )
-				c += new_exp_.AddOne(); // new_exp_ > 0 and with fraction
-
-			new_exp_.SkipFraction();
-		}
-
-		if( ToString_CreateNewMantissaTryExponent<string_type, char_type>(new_man, conv, new_exp_, new_exp) )
-		{
-			// in very rare cases there can be an overflow from ToString_CreateNewMantissaTryExponent
-			// it means that new_exp_ was too small (the problem comes from floating point numbers precision)
-			// so we increse new_exp_ and try again
-			new_exp_.AddOne();
-			c += ToString_CreateNewMantissaTryExponent<string_type, char_type>(new_man, conv, new_exp_, new_exp);
-		}
-
-	return (c==0)? 0 : 1;
-	}
-
-
-
-	/*!
-		an auxiliary method for converting into the string
-
-		trying to calculate new_man for given exponent (new_exp_)
-		if there is a carry it can mean that new_exp_ is too small
-	*/
-	template<class string_type, class char_type>
-	uint ToString_CreateNewMantissaTryExponent(	string_type & new_man, const Conv & conv,
-												const Big<exp+1,man> & new_exp_, Int<exp+1> & new_exp) const
-	{
-	uint c = 0;
-
-		// because 'base^new_exp' is >= '2^exponent' then
-		// because base is >= 2 then we've got:
-		// 'new_exp_' must be smaller or equal 'new_exp'
-		// and we can pass it into the Int<exp> type
-		// (in fact we're using a greater type then it'll be ok)
-		c += new_exp_.ToInt(new_exp);
-
-		// base_ = base
-		Big<exp+1,man> base_(conv.base);
-
-		// base_ = base_ ^ new_exp_
-		c += base_.Pow( new_exp_ ); // use new_exp_ so Pow(Big<> &) version will be used
-		// if we hadn't used a bigger type than 'Big<exp,man>' then the result
-		// of this formula 'Pow(...)' would have been with an overflow
-
-		// temp = mantissa * 2^exponent / base_^new_exp_
-		Big<exp+1,man> temp;
-		temp.info = 0;
-		temp.mantissa = mantissa;
-		temp.exponent = exponent;
-		c += temp.Div(base_);
-
-		// moving all bits of the mantissa into the right
-		// (how many times to move depend on the exponent)
-		c += temp.ToString_MoveMantissaIntoRight();
-
-		// because we took 'new_exp' as small as it was
-		// possible ([log base (2^exponent)] + 1) that after the division
-		// (temp.Div( base_ )) the value of exponent should be equal zero or
-		// minimum smaller than zero then we've got the mantissa which has
-		// maximum valid bits
-		temp.mantissa.ToString(new_man, conv.base);
-
-		if( IsInteger() )
-		{
-			// making sure the new mantissa will be without fraction (integer)
-			ToString_CheckMantissaInteger<string_type, char_type>(new_man, new_exp);
-		}
-		else
-		if( conv.base_round )
-		{
-			c += ToString_BaseRound<string_type, char_type>(new_man, conv, new_exp);
-		}
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	/*!
-		this method calculates the logarithm
-		it is used by ToString_CreateNewMantissaAndExponent() method
-
-		it's not too complicated
-		because x=+1*2^exponent (mantissa is one) then during the calculation
-		the Ln(x) will not be making the long formula from LnSurrounding1()
-		and only we have to calculate 'Ln(base)' but it'll be calculated
-		only once, the next time we will get it from the 'history'
-
-        x is greater than 0
-		base is in <2,16> range
-	*/
-	uint ToString_Log(const Big<exp,man> & x, uint base)
-	{
-		TTMATH_REFERENCE_ASSERT( x )
-		TTMATH_ASSERT( base>=2 && base<=16 )
-
-		Big<exp,man> temp;
-		temp.SetOne();
-
-		if( x == temp )
-		{
-			// log(1) is 0
-			SetZero();
-
-		return 0;
-		}
-
-		// there can be only a carry
-		// because the 'x' is in '1+2*exponent' form then
-		// the long formula from LnSurrounding1() will not be calculated
-		// (LnSurrounding1() will return one immediately)
-		uint c = Ln(x);
-
-		if( base==10 && man<=TTMATH_BUILTIN_VARIABLES_SIZE )
-		{
-			// for the base equal 10 we're using SetLn10() instead of calculating it
-			// (only if we have the constant sufficient big)
-			temp.SetLn10();
-		}
-		else
-		{
-			c += ToString_LogBase(base, temp);
-		}
-
-		c += Div( temp );
-
-	return (c==0)? 0 : 1;
-	}
-
-
-#ifndef TTMATH_MULTITHREADS
-
-	/*!
-		this method calculates the logarithm of 'base'
-		it's used in single thread environment
-	*/
-	uint ToString_LogBase(uint base, Big<exp,man> & result)
-	{
-		TTMATH_ASSERT( base>=2 && base<=16 )
-
-		// this guardians are initialized before the program runs (static POD types)
-		static int guardians[15] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
-		static Big<exp,man> log_history[15];
-		uint index = base - 2;
-		uint c = 0;
-
-		if( guardians[index] == 0 )
-		{
-			Big<exp,man> base_(base);
-			c += log_history[index].Ln(base_);
-			guardians[index] = 1;
-		}
-
-		result = log_history[index];
-
-	return (c==0)? 0 : 1;
-	}
-
-#else
-
-	/*!
-		this method calculates the logarithm of 'base'
-		it's used in multi-thread environment
-	*/
-	uint ToString_LogBase(uint base, Big<exp,man> & result)
-	{
-		TTMATH_ASSERT( base>=2 && base<=16 )
-
-		// this guardians are initialized before the program runs (static POD types)
-		volatile static sig_atomic_t guardians[15] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
-		static Big<exp,man> * plog_history;
-		uint index = base - 2;
-		uint c = 0;
-
-		// double-checked locking
-		if( guardians[index] == 0 )
-		{
-			ThreadLock thread_lock;
-
-			// locking
-			if( thread_lock.Lock() )
-			{
-				static Big<exp,man> log_history[15];
-
-				if( guardians[index] == 0 )
-				{
-					plog_history = log_history;
-
-					Big<exp,man> base_(base);
-					c += log_history[index].Ln(base_);
-					guardians[index] = 1;
-				}
-			}
-			else
-			{
-				// there was a problem with locking, we store the result directly in 'result' object
-				Big<exp,man> base_(base);
-				c += result.Ln(base_);
-
-			return (c==0)? 0 : 1;
-			}
-
-			// automatically unlocking
-		}
-
-		result = plog_history[index];
-
-	return (c==0)? 0 : 1;
-	}
-
-#endif
-
-	/*!
-		an auxiliary method for converting into the string (private)
-
-		this method moving all bits from mantissa into the right side
-		the exponent tell us how many times moving (the exponent is <=0)
-	*/
-	uint ToString_MoveMantissaIntoRight()
-	{
-		if( exponent.IsZero() )
-			return 0;
-
-		// exponent can't be greater than zero
-		// because we would cat the highest bits of the mantissa
-		if( !exponent.IsSign() )
-			return 1;
-
-
-		if( exponent <= -sint(man*TTMATH_BITS_PER_UINT) )
-		{
-			// if 'exponent' is <= than '-sint(man*TTMATH_BITS_PER_UINT)'
-			// it means that we must cut the whole mantissa
-			// (there'll not be any of the valid bits)
-			return 1;
-		}
-
-		// e will be from (-man*TTMATH_BITS_PER_UINT, 0>
-		sint e = -( exponent.ToInt() );
-		mantissa.Rcr(e,0);
-
-	return 0;
-	}
-
-
-	/*!
-		a special method similar to the 'ToString_CreateNewMantissaAndExponent'
-		when the 'base' is equal 2
-
-		we use it because if base is equal 2 we don't have to make those
-		complicated calculations and the output is directly from the source
-		(there will not be any small distortions)
-	*/
-	template<class string_type>
-	uint ToString_CreateNewMantissaAndExponent_Base2(	string_type & new_man,
-														Int<exp+1> & new_exp     ) const
-	{
-		for( sint i=man-1 ; i>=0 ; --i )
-		{
-			uint value = mantissa.table[i];
-
-			for( uint bit=0 ; bit<TTMATH_BITS_PER_UINT ; ++bit )
-			{
-				if( (value & TTMATH_UINT_HIGHEST_BIT) != 0 )
-					new_man += '1';
-				else
-					new_man += '0';
-
-				value <<= 1;
-			}
-		}
-
-		new_exp = exponent;
-
-	return 0;
-	}
-
-
-	/*!
-		a special method used to calculate the new mantissa and exponent
-		when the 'base' is equal 4, 8 or 16
-
-		-  when base is 4 then bits is 2
-		-  when base is 8 then bits is 3
-		-  when base is 16 then bits is 4
-		(and the algorithm can be used with a base greater than 16)
-	*/
-	template<class string_type>
-	uint ToString_CreateNewMantissaAndExponent_BasePow2(	string_type & new_man,
-															Int<exp+1> & new_exp,
-															uint bits) const
-	{
-		sint move;							// how many times move the mantissa
-		UInt<man+1> man_temp(mantissa);		// man+1 for moving
-		new_exp = exponent;
-		new_exp.DivInt((sint)bits, move);
-
-		if( move != 0 )
-		{
-			// we're moving the man_temp to left-hand side
-			if( move < 0 )
-			{
-				move = sint(bits) + move;
-				new_exp.SubOne();			// when move is < than 0 then new_exp is < 0 too
-			}
-
-			man_temp.Rcl(move);
-		}
-
-
-		if( bits == 3 )
-		{
-			// base 8
-			// now 'move' is greater than or equal 0
-			uint len = man*TTMATH_BITS_PER_UINT + move;
-			return ToString_CreateNewMantissaAndExponent_Base8(new_man, man_temp, len, bits);
-		}
-		else
-		{
-			// base 4 or 16
-			return ToString_CreateNewMantissaAndExponent_Base4or16(new_man, man_temp, bits);
-		}
-	}
-
-
-	/*!
-		a special method used to calculate the new mantissa
-		when the 'base' is equal 8
-
-		bits is always 3
-
-		we can use this algorithm when the base is 4 or 16 too
-		but we have a faster method ToString_CreateNewMantissaAndExponent_Base4or16()
-	*/
-	template<class string_type>
-	uint ToString_CreateNewMantissaAndExponent_Base8(	string_type & new_man,
-														UInt<man+1> & man_temp,
-														uint len,
-														uint bits) const
-	{
-		uint shift = TTMATH_BITS_PER_UINT - bits;
-		uint mask  = TTMATH_UINT_MAX_VALUE >> shift;
-		uint i;
-
-		for( i=0 ; i<len ; i+=bits )
-		{
-			uint digit = man_temp.table[0] & mask;
-			new_man.insert(new_man.begin(), static_cast<char>(Misc::DigitToChar(digit)));
-
-			man_temp.Rcr(bits);
-		}
-
-		TTMATH_ASSERT( man_temp.IsZero() )
-
-	return 0;
-	}
-
-
-	/*!
-		a special method used to calculate the new mantissa
-		when the 'base' is equal 4 or 16
-
-		when the base is equal 4 or 16 the bits is 2 or 4
-		and because TTMATH_BITS_PER_UINT (32 or 64) is divisible by 2 (or 4)
-		then we can get digits from the end of our mantissa
-	*/
-	template<class string_type>
-	uint ToString_CreateNewMantissaAndExponent_Base4or16(	string_type & new_man,
-															UInt<man+1> & man_temp,
-															uint bits) const
-	{
-		TTMATH_ASSERT( TTMATH_BITS_PER_UINT % 2 == 0 )
-		TTMATH_ASSERT( TTMATH_BITS_PER_UINT % 4 == 0 )
-
-		uint shift = TTMATH_BITS_PER_UINT - bits;
-		uint mask  = TTMATH_UINT_MAX_VALUE << shift;
-		uint digit;
-
-		 // table[man] - last word - is different from zero if we moved man_temp
-		digit = man_temp.table[man];
-
-		if( digit != 0 )
-			new_man += static_cast<char>(Misc::DigitToChar(digit));
-
-
-		for( int i=man-1 ; i>=0 ; --i )
-		{
-			uint shift_local = shift;
-			uint mask_local  = mask;
-
-			while( mask_local != 0 )
-			{
-				digit = man_temp.table[i] & mask_local;
-
-				if( shift_local != 0 )
-					digit = digit >> shift_local;
-
-				new_man    += static_cast<char>(Misc::DigitToChar(digit));
-				mask_local  = mask_local >> bits;
-				shift_local = shift_local - bits;
-			}
-		}
-
-	return 0;
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	bool ToString_RoundMantissaWouldBeInteger(string_type & new_man, const Conv & conv, Int<exp+1> & new_exp) const
-	{
-		// if new_exp is greater or equal to zero then we have an integer value,
-		// if new_exp is equal -1 then we have only one digit after the comma
-		// and after rounding it would be an integer value
-		if( !new_exp.IsSign() || new_exp == -1 )
-			return true;
-
-		if( new_man.size() >= TTMATH_UINT_HIGHEST_BIT || new_man.size() < 2 )
-			return true; // oops, the mantissa is too large for calculating (or too small) - we are not doing the base rounding
-
-		uint i = 0;
-		char_type digit;
-
-		if( new_exp >= -sint(new_man.size()) )
-		{
-			uint new_exp_abs = -new_exp.ToInt();
-			i = new_man.size() - new_exp_abs; // start from the first digit after the comma operator
-		}
-
-		if( Misc::CharToDigit(new_man[new_man.size()-1]) >= conv.base/2 )
-		{
-			if( new_exp < -sint(new_man.size()) )
-			{
-				// there are some zeroes after the comma operator
-				// (between the comma and the first digit from the mantissa)
-				// and the result value will never be an integer
-				return false;
-			}
-
-			digit = static_cast<char_type>( Misc::DigitToChar(conv.base-1) );
-		}
-		else
-		{
-			digit = '0';
-		}
-
-		for( ; i < new_man.size()-1 ; ++i)
-			if( new_man[i] != digit )
-				return false; // it will not be an integer
-
-	return true; // it will be integer after rounding
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-		(when this is integer)
-
-		after floating point calculating the new mantissa can consist of some fraction
-		so if our value is integer we should check the new mantissa
-		(after the decimal point there should be only zeroes)
-
-		often this is a last digit different from zero
-		ToString_BaseRound would not get rid of it because the method make a test against
-		an integer value (ToString_RoundMantissaWouldBeInteger) and returns immediately
-	*/
-	template<class string_type, class char_type>
-	void ToString_CheckMantissaInteger(string_type & new_man, const Int<exp+1> & new_exp) const
-	{
-		if( !new_exp.IsSign() )
-			return; // return if new_exp >= 0
-
-		uint i = 0;
-		uint man_size = new_man.size();
-
-		if( man_size >= TTMATH_UINT_HIGHEST_BIT )
-			return; // ops, the mantissa is too long
-
-		sint sman_size = -sint(man_size);
-
-		if( new_exp >= sman_size )
-		{
-			sint e = new_exp.ToInt();
-			e = -e;
-			// now e means how many last digits from the mantissa should be equal zero
-
-			i = man_size - uint(e);
-		}
-
-		for( ; i<man_size ; ++i)
-			new_man[i] = '0';
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-
-		this method is used for base!=2, base!=4, base!=8 and base!=16
-		we do the rounding when the value has fraction (is not an integer)
-	*/
-	template<class string_type, class char_type>
-	uint ToString_BaseRound(string_type & new_man, const Conv & conv, Int<exp+1> & new_exp) const
-	{
-		// we must have minimum two characters
-		if( new_man.size() < 2 )
-			return 0;
-
-		// assert that there will not be an integer after rounding
-		if( ToString_RoundMantissaWouldBeInteger<string_type, char_type>(new_man, conv, new_exp) )
-			return 0;
-
-		typename string_type::size_type i = new_man.length() - 1;
-
-		// we're erasing the last character
-		uint digit = Misc::CharToDigit( new_man[i] );
-		new_man.erase(i, 1);
-		uint c = new_exp.AddOne();
-
-		// if the last character is greater or equal 'base/2'
-		// we are adding one into the new mantissa
-		if( digit >= conv.base / 2 )
-			ToString_RoundMantissa_AddOneIntoMantissa<string_type, char_type>(new_man, conv);
-
-	return c;
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-
-		this method addes one into the new mantissa
-	*/
-	template<class string_type, class char_type>
-	void ToString_RoundMantissa_AddOneIntoMantissa(string_type & new_man, const Conv & conv) const
-	{
-		if( new_man.empty() )
-			return;
-
-		sint i = sint( new_man.length() ) - 1;
-		bool was_carry = true;
-
-		for( ; i>=0 && was_carry ; --i )
-		{
-			// we can have the comma as well because
-			// we're using this method later in ToString_CorrectDigitsAfterComma_Round()
-			// (we're only ignoring it)
-			if( new_man[i] == static_cast<char_type>(conv.comma) )
-				continue;
-
-			// we're adding one
-			uint digit = Misc::CharToDigit( new_man[i] ) + 1;
-
-			if( digit == conv.base )
-				digit = 0;
-			else
-				was_carry = false;
-
-			new_man[i] = static_cast<char_type>( Misc::DigitToChar(digit) );
-		}
-
-		if( i<0 && was_carry )
-			new_man.insert( new_man.begin() , '1' );
-	}
-
-
-
-	/*!
-		an auxiliary method for converting into the string
-
-		this method sets the comma operator and/or puts the exponent
-		into the string
-	*/
-	template<class string_type, class char_type>
-	uint ToString_SetCommaAndExponent(string_type & new_man, const Conv & conv, Int<exp+1> & new_exp) const
-	{
-	uint carry = 0;
-
-		if( new_man.empty() )
-			return carry;
-
-		Int<exp+1> scientific_exp( new_exp );
-
-		// 'new_exp' depends on the 'new_man' which is stored like this e.g:
-		//  32342343234 (the comma is at the end)
-		// we'd like to show it in this way:
-		//  3.2342343234 (the 'scientific_exp' is connected with this example)
-
-		sint offset = sint( new_man.length() ) - 1;
-		carry += scientific_exp.Add( offset );
-		// there shouldn't have been a carry because we're using
-		// a greater type -- 'Int<exp+1>' instead of 'Int<exp>'
-
-		bool print_scientific = conv.scient;
-
-		if( !print_scientific )
-		{
-			if( scientific_exp > conv.scient_from || scientific_exp < -sint(conv.scient_from) )
-				print_scientific = true;
-		}
-
-		if( !print_scientific )
-			ToString_SetCommaAndExponent_Normal<string_type, char_type>(new_man, conv, new_exp);
-		else
-			// we're passing the 'scientific_exp' instead of 'new_exp' here
-			ToString_SetCommaAndExponent_Scientific<string_type, char_type>(new_man, conv, scientific_exp);
-
-	return (carry==0)? 0 : 1;
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_SetCommaAndExponent_Normal(string_type & new_man,	const Conv & conv, Int<exp+1> & new_exp ) const
-	{
-		if( !new_exp.IsSign() ) // it means: if( new_exp >= 0 )
-			ToString_SetCommaAndExponent_Normal_AddingZero<string_type, char_type>(new_man, new_exp);
-		else
-			ToString_SetCommaAndExponent_Normal_SetCommaInside<string_type, char_type>(new_man, conv, new_exp);
-
-
-		ToString_Group_man<string_type, char_type>(new_man, conv);
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_SetCommaAndExponent_Normal_AddingZero(string_type & new_man,
-														Int<exp+1> & new_exp) const
-	{
-		// we're adding zero characters at the end
-		// 'i' will be smaller than 'when_scientific' (or equal)
-		uint i = new_exp.ToInt();
-
-		if( new_man.length() + i > new_man.capacity() )
-			// about 6 characters more (we'll need it for the comma or something)
-			new_man.reserve( new_man.length() + i + 6 );
-
-		for( ; i>0 ; --i)
-			new_man += '0';
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_SetCommaAndExponent_Normal_SetCommaInside(
-															string_type & new_man,
-															const Conv & conv,
-															Int<exp+1> & new_exp ) const
-	{
-		// new_exp is < 0
-
-		sint new_man_len = sint(new_man.length()); // 'new_man_len' with a sign
-		sint e = -( new_exp.ToInt() ); // 'e' will be positive
-
-		if( new_exp > -new_man_len )
-		{
-			// we're setting the comma within the mantissa
-
-			sint index = new_man_len - e;
-			new_man.insert( new_man.begin() + index, static_cast<char_type>(conv.comma));
-		}
-		else
-		{
-			// we're adding zero characters before the mantissa
-
-			uint how_many = e - new_man_len;
-			string_type man_temp(how_many+1, '0');
-
-			man_temp.insert( man_temp.begin()+1, static_cast<char_type>(conv.comma));
-			new_man.insert(0, man_temp);
-		}
-
-		ToString_CorrectDigitsAfterComma<string_type, char_type>(new_man, conv);
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_SetCommaAndExponent_Scientific(	string_type & new_man,
-													const Conv & conv,
-													Int<exp+1> & scientific_exp ) const
-	{
-		if( new_man.empty() )
-			return;
-
-		if( new_man.size() > 1 )
-		{
-			new_man.insert( new_man.begin()+1, static_cast<char_type>(conv.comma) );
-			ToString_CorrectDigitsAfterComma<string_type, char_type>(new_man, conv);
-		}
-
-		ToString_Group_man<string_type, char_type>(new_man, conv);
-
-		if( conv.base == 10 )
-		{
-			new_man += 'e';
-
-			if( !scientific_exp.IsSign() )
-				new_man += '+';
-		}
-		else
-		{
-			// the 10 here is meant as the base 'base'
-			// (no matter which 'base' we're using there'll always be 10 here)
-			Misc::AddString(new_man, "*10^");
-		}
-
-		string_type temp_exp;
-		scientific_exp.ToString( temp_exp, conv.base );
-
-		new_man += temp_exp;
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_Group_man(string_type & new_man, const Conv & conv) const
-	{
-		typedef typename string_type::size_type StrSize;
-
-		if( conv.group == 0 )
-			return;
-
-		// first we're looking for the comma operator
-		StrSize index = new_man.find(static_cast<char_type>(conv.comma), 0);
-
-		if( index == string_type::npos )
-			index = new_man.size();
-
-		ToString_Group_man_before_comma<string_type, char_type>(new_man, conv, index);
-		ToString_Group_man_after_comma<string_type, char_type>(new_man, conv, index+1);
-	}
-
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_Group_man_before_comma(	string_type & new_man, const Conv & conv,
-											typename string_type::size_type & index) const
-	{
-	typedef typename string_type::size_type StrSize;
-
-		uint group = 0;
-		StrSize i = index;
-		uint group_digits = conv.group_digits;
-
-		if( group_digits < 1 )
-			group_digits = 1;
-
-		// adding group characters before the comma operator
-		// i>0 because on the first position we don't put any additional grouping characters
-		for( ; i>0 ; --i, ++group)
-		{
-			if( group >= group_digits )
-			{
-				group = 0;
-				new_man.insert(i, 1, static_cast<char_type>(conv.group));
-				++index;
-			}
-		}
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_Group_man_after_comma(string_type & new_man, const Conv & conv,
-										typename string_type::size_type index) const
-	{
-		uint group = 0;
-		uint group_digits = conv.group_digits;
-
-		if( group_digits < 1 )
-			group_digits = 1;
-
-		for( ; index<new_man.size() ; ++index, ++group)
-		{
-			if( group >= group_digits )
-			{
-				group = 0;
-				new_man.insert(index, 1, static_cast<char_type>(conv.group));
-				++index;
-			}
-		}
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_CorrectDigitsAfterComma(	string_type & new_man,
-											const Conv & conv ) const
-	{
-		if( conv.round >= 0 )
-			ToString_CorrectDigitsAfterComma_Round<string_type, char_type>(new_man, conv);
-
-		if( conv.trim_zeroes )
-			ToString_CorrectDigitsAfterComma_CutOffZeroCharacters<string_type, char_type>(new_man, conv);
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_CorrectDigitsAfterComma_CutOffZeroCharacters(
-												string_type & new_man,
-												const Conv & conv) const
-	{
-		// minimum two characters
-		if( new_man.length() < 2 )
-			return;
-
-		// we're looking for the index of the last character which is not zero
-		uint i = uint( new_man.length() ) - 1;
-		for( ; i>0 && new_man[i]=='0' ; --i );
-
-		// if there is another character than zero at the end
-		// we're finishing
-		if( i == new_man.length() - 1 )
-			return;
-
-		// we must have a comma
-		// (the comma can be removed by ToString_CorrectDigitsAfterComma_Round
-		// which is called before)
-		if( new_man.find_last_of(static_cast<char_type>(conv.comma), i) == string_type::npos )
-			return;
-
-		// if directly before the first zero is the comma operator
-		// we're cutting it as well
-		if( i>0 && new_man[i]==static_cast<char_type>(conv.comma) )
-			--i;
-
-		new_man.erase(i+1, new_man.length()-i-1);
-	}
-
-
-	/*!
-		an auxiliary method for converting into the string
-	*/
-	template<class string_type, class char_type>
-	void ToString_CorrectDigitsAfterComma_Round(
-											string_type & new_man,
-											const Conv & conv ) const
-	{
-		typedef typename string_type::size_type StrSize;
-
-		// first we're looking for the comma operator
-		StrSize index = new_man.find(static_cast<char_type>(conv.comma), 0);
-
-		if( index == string_type::npos )
-			// nothing was found (actually there can't be this situation)
-			return;
-
-		// we're calculating how many digits there are at the end (after the comma)
-		// 'after_comma' will be greater than zero because at the end
-		// we have at least one digit
-		StrSize after_comma = new_man.length() - index - 1;
-
-		// if 'max_digit_after_comma' is greater than 'after_comma' (or equal)
-		// we don't have anything for cutting
-		if( static_cast<StrSize>(conv.round) >= after_comma )
-			return;
-
-		uint last_digit = Misc::CharToDigit( new_man[ index + conv.round + 1 ], conv.base );
-
-		// we're cutting the rest of the string
-		new_man.erase(index + conv.round + 1, after_comma - conv.round);
-
-		if( conv.round == 0 )
-		{
-			// we're cutting the comma operator as well
-			// (it's not needed now because we've cut the whole rest after the comma)
-			new_man.erase(index, 1);
-		}
-
-		if( last_digit >= conv.base / 2 )
-			// we must round here
-			ToString_RoundMantissa_AddOneIntoMantissa<string_type, char_type>(new_man, conv);
-	}
-
-
-
-public:
-
-	/*!
-		a method for converting a string into its value
-
-		it returns 1 if the value is too big -- we cannot pass it into the range
-		of our class Big<exp,man> (or if the base is incorrect)
-
-		that means only digits before the comma operator can make this value too big,
-		all digits after the comma we can ignore
-
-		'source' - pointer to the string for parsing
-
-		if 'after_source' is set that when this method finishes
-		it sets the pointer to the new first character after parsed value
-
-		'value_read' - if the pointer is provided that means the value_read will be true
-		only when a value has been actually read, there can be situation where only such
-		a string '-' or '+' will be parsed -- 'after_source' will be different from 'source' but
-		no value has been read (there are no digits)
-		on other words if 'value_read' is true -- there is at least one digit in the string
-	*/
-	uint FromString(const char * source, uint base = 10, const char ** after_source = 0, bool * value_read = 0)
-	{
-		Conv conv;
-		conv.base = base;
-
-		return FromStringBase(source, conv, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const char * source, const Conv & conv, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(source, conv, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const std::string & string, uint base = 10, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromString(string.c_str(), base, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const std::string & string, const Conv & conv, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromString(string.c_str(), conv, after_source, value_read);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const wchar_t * source, uint base = 10, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		Conv conv;
-		conv.base = base;
-
-		return FromStringBase(source, conv, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const wchar_t * source, const Conv & conv, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(source, conv, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const std::wstring & string, uint base = 10, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		return FromString(string.c_str(), base, after_source, value_read);
-	}
-
-
-	/*!
-		a method for converting a string into its value
-	*/
-	uint FromString(const std::wstring & string, const Conv & conv, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		return FromString(string.c_str(), conv, after_source, value_read);
-	}
-
-#endif
-
-
-private:
-
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class char_type>
-	uint FromStringBase(const char_type * source, const Conv & conv, const char_type ** after_source = 0, bool * value_read = 0)
-	{
-	bool is_sign;
-	bool value_read_temp = false;
-
-		if( conv.base<2 || conv.base>16 )
-		{
-			SetNan();
-
-			if( after_source )
-				*after_source = source;
-
-			if( value_read )
-				*value_read = value_read_temp;
-
-			return 1;
-		}
-
-		SetZero();
-		FromString_TestSign( source, is_sign );
-
-		uint c = FromString_ReadPartBeforeComma( source, conv, value_read_temp );
-
-		if( FromString_TestCommaOperator(source, conv) )
-			c += FromString_ReadPartAfterComma( source, conv, value_read_temp );
-
-		if( value_read_temp && conv.base == 10 )
-			c += FromString_ReadScientificIfExists( source );
-
-		if( is_sign && !IsZero() )
-			ChangeSign();
-
-		if( after_source )
-			*after_source = source;
-
-		if( value_read )
-			*value_read = value_read_temp;
-
-	return CheckCarry(c);
-	}
-
-
-	/*!
-		we're testing whether the value is with the sign
-
-		(this method is used from 'FromString_ReadPartScientific' too)
-	*/
-	template<class char_type>
-	void FromString_TestSign( const char_type * & source, bool & is_sign )
-	{
-		Misc::SkipWhiteCharacters(source);
-
-		is_sign = false;
-
-		if( *source == '-' )
-		{
-			is_sign = true;
-			++source;
-		}
-		else
-		if( *source == '+' )
-		{
-			++source;
-		}
-	}
-
-
-	/*!
-		we're testing whether there's a comma operator
-	*/
-	template<class char_type>
-	bool FromString_TestCommaOperator(const char_type * & source, const Conv & conv)
-	{
-		if( (*source == static_cast<char_type>(conv.comma)) ||
-			(*source == static_cast<char_type>(conv.comma2) && conv.comma2 != 0 ) )
-		{
-			++source;
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	/*!
-		this method reads the first part of a string
-		(before the comma operator)
-	*/
-	template<class char_type>
-	uint FromString_ReadPartBeforeComma( const char_type * & source, const Conv & conv, bool & value_read )
-	{
-		sint character;
-		Big<exp, man> temp;
-		Big<exp, man> base_( conv.base );
-
-		Misc::SkipWhiteCharacters( source );
-
-		for( ; true ; ++source )
-		{
-			if( conv.group!=0 && *source==static_cast<char>(conv.group) )
-				continue;
-
-			character = Misc::CharToDigit(*source, conv.base);
-
-			if( character == -1 )
-				break;
-
-			value_read = true;
-			temp = character;
-
-			if( Mul(base_) )
-				return 1;
-
-			if( Add(temp) )
-				return 1;
-		}
-
-	return 0;
-	}
-
-
-	/*!
-		this method reads the second part of a string
-		(after the comma operator)
-	*/
-	template<class char_type>
-	uint FromString_ReadPartAfterComma( const char_type * & source, const Conv & conv, bool & value_read )
-	{
-	sint character;
-	uint c = 0, power = 0;
-	UInt<1> power_;
-	Big<exp, man> sum, base_(conv.base);
-
-		// we don't remove any white characters here
-		sum.SetZero();
-
-		for( ; sum.exponent.IsSign() || sum.exponent.IsZero() ; ++source )
-		{
-			if( conv.group!=0 && *source==static_cast<char>(conv.group) )
-				continue;
-
-			character = Misc::CharToDigit(*source, conv.base);
-
-			if( character == -1 )
-				break;
-
-			value_read = true;
-
-			// there actually shouldn't be a carry here
-			c += sum.Mul(base_);
-			c += sum.Add(character);
-			power += 1;
-
-			if( power == 0 )
-				c += 1;
-		}
-
-		// we could break the parsing somewhere in the middle of the string,
-		// but the result (value) still can be good
-		// we should set a correct value of 'source' now
-		while( Misc::CharToDigit(*source, conv.base) != -1 )
-		{
-			++source;
-		}
-
-		power_ = power;
-		c += base_.Pow(power_);
-		c += sum.Div(base_);
-		c += Add(sum);
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	/*!
-		this method checks whether there is a scientific part: [e|E][-|+]value
-
-		it is called when the base is 10 and some digits were read before
-	*/
-	template<class char_type>
-	uint FromString_ReadScientificIfExists(const char_type * & source)
-	{
-	uint c = 0;
-
-		bool scientific_read = false;
-		const char_type * before_scientific = source;
-
-		if( FromString_TestScientific(source) )
-			c += FromString_ReadPartScientific( source, scientific_read );
-
-		if( !scientific_read )
-			source = before_scientific;
-
-	return (c==0)? 0 : 1;
-	}
-
-
-
-	/*!
-		we're testing whether is there the character 'e'
-
-		this character is only allowed when we're using the base equals 10
-	*/
-	template<class char_type>
-	bool FromString_TestScientific(const char_type * & source)
-	{
-		Misc::SkipWhiteCharacters(source);
-
-		if( *source=='e' || *source=='E' )
-		{
-			++source;
-
-		return true;
-		}
-
-	return false;
-	}
-
-
-	/*!
-		this method reads the exponent (after 'e' character) when there's a scientific
-		format of value and only when we're using the base equals 10
-	*/
-	template<class char_type>
-	uint FromString_ReadPartScientific( const char_type * & source, bool & scientific_read )
-	{
-	uint c = 0;
-	Big<exp, man> new_exponent, temp;
-	bool was_sign = false;
-
-		FromString_TestSign( source, was_sign );
-		c += FromString_ReadPartScientific_ReadExponent( source, new_exponent, scientific_read );
-
-		if( scientific_read )
-		{
-			if( was_sign )
-				new_exponent.ChangeSign();
-
-			temp = 10;
-			c += temp.Pow( new_exponent );
-			c += Mul(temp);
-		}
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	/*!
-		this method reads the value of the extra exponent when scientific format is used
-		(only when base == 10)
-	*/
-	template<class char_type>
-	uint FromString_ReadPartScientific_ReadExponent( const char_type * & source, Big<exp, man> & new_exponent, bool & scientific_read )
-	{
-	sint character;
-	Big<exp, man> base, temp;
-
-		Misc::SkipWhiteCharacters(source);
-
-		new_exponent.SetZero();
-		base = 10;
-
-		for( ; (character=Misc::CharToDigit(*source, 10)) != -1 ; ++source )
-		{
-			scientific_read = true;
-
-			temp = character;
-
-			if( new_exponent.Mul(base) )
-				return 1;
-
-			if( new_exponent.Add(temp) )
-				return 1;
-		}
-
-	return 0;
-	}
-
-
-public:
-
-
-	/*!
-		a constructor for converting a string into this class
-	*/
-	Big(const char * string)
-	{
-		FromString( string );
-	}
-
-
-	/*!
-		a constructor for converting a string into this class
-	*/
-	Big(const std::string & string)
-	{
-		FromString( string.c_str() );
-	}
-
-
-	/*!
-		an operator= for converting a string into its value
-	*/
-	Big<exp, man> & operator=(const char * string)
-	{
-		FromString( string );
-
-	return *this;
-	}
-
-
-	/*!
-		an operator= for converting a string into its value
-	*/
-	Big<exp, man> & operator=(const std::string & string)
-	{
-		FromString( string.c_str() );
-
-	return *this;
-	}
-
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		a constructor for converting a string into this class
-	*/
-	Big(const wchar_t * string)
-	{
-		FromString( string );
-	}
-
-
-	/*!
-		a constructor for converting a string into this class
-	*/
-	Big(const std::wstring & string)
-	{
-		FromString( string.c_str() );
-	}
-
-
-	/*!
-		an operator= for converting a string into its value
-	*/
-	Big<exp, man> & operator=(const wchar_t * string)
-	{
-		FromString( string );
-
-	return *this;
-	}
-
-
-	/*!
-		an operator= for converting a string into its value
-	*/
-	Big<exp, man> & operator=(const std::wstring & string)
-	{
-		FromString( string.c_str() );
-
-	return *this;
-	}
-
-
-#endif
-
-
-
-	/*!
-	*
-	*	methods for comparing
-	*
-	*/
-
-
-	/*!
-		this method performs the formula 'abs(this) < abs(ss2)'
-		and returns the result
-
-		(in other words it treats 'this' and 'ss2' as values without a sign)
-		we don't check the NaN flag
-	*/
-	bool SmallerWithoutSignThan(const Big<exp,man> & ss2) const
-	{
-		if( IsZero() )
-		{
-			if( ss2.IsZero() )
-				// we've got two zeroes
-				return false;
-			else
-				// this==0 and ss2!=0
-				return true;
-		}
-
-		if( ss2.IsZero() )
-		{
-			// this!=0 and ss2==0
-			return false;
-		}
-
-		// we're using the fact that all bits in mantissa are pushed
-		// into the left side -- Standardizing()
-		if( exponent == ss2.exponent )
-			return mantissa < ss2.mantissa;
-
-	return exponent < ss2.exponent;
-	}
-
-
-	/*!
-		this method performs the formula 'abs(this) > abs(ss2)'
-		and returns the result
-
-		(in other words it treats 'this' and 'ss2' as values without a sign)
-		we don't check the NaN flag
-	*/
-	bool GreaterWithoutSignThan(const Big<exp,man> & ss2) const
-	{
-		if( IsZero() )
-		{
-			if( ss2.IsZero() )
-			{
-				// we've got two zeroes
-				return false;
-			}
-			else
-			{
-				// this==0 and ss2!=0
-				return false;
-			}
-		}
-
-		if( ss2.IsZero() )
-		{
-			// this!=0 and ss2==0
-			return true;
-		}
-
-		// we're using the fact that all bits in mantissa are pushed
-		// into the left side -- Standardizing()
-		if( exponent == ss2.exponent )
-			return mantissa > ss2.mantissa;
-
-	return exponent > ss2.exponent;
-	}
-
-
-	/*!
-		this method performs the formula 'abs(this) == abs(ss2)'
-		and returns the result
-
-		(in other words it treats 'this' and 'ss2' as values without a sign)
-		we don't check the NaN flag
-	*/
-	bool EqualWithoutSign(const Big<exp,man> & ss2) const
-	{
-		if( IsZero() )
-		{
-			if( ss2.IsZero() )
-			{
-				// we've got two zeroes
-				return true;
-			}
-			else
-			{
-				// this==0 and ss2!=0
-				return false;
-			}
-		}
-
-		if( ss2.IsZero() )
-		{
-			// this!=0 and ss2==0
-			return false;
-		}
-
-		if( exponent==ss2.exponent && mantissa==ss2.mantissa )
-			return true;
-
-	return false;
-	}
-
-
-	bool operator<(const Big<exp,man> & ss2) const
-	{
-		if( IsSign() && !ss2.IsSign() )
-		{
-			// this<0 and ss2>=0
-			return true;
-		}
-
-		if( !IsSign() && ss2.IsSign() )
-		{
-			// this>=0 and ss2<0
-			return false;
-		}
-
-		// both signs are the same
-
-		if( IsSign() )
-			return ss2.SmallerWithoutSignThan( *this );
-
-	return SmallerWithoutSignThan( ss2 );
-	}
-
-
-	bool operator==(const Big<exp,man> & ss2) const
-	{
-		if( IsSign() != ss2.IsSign() )
-			return false;
-
-	return EqualWithoutSign( ss2 );
-	}
-
-
-	bool operator>(const Big<exp,man> & ss2) const
-	{
-		if( IsSign() && !ss2.IsSign() )
-		{
-			// this<0 and ss2>=0
-			return false;
-		}
-
-		if( !IsSign() && ss2.IsSign() )
-		{
-			// this>=0 and ss2<0
-			return true;
-		}
-
-		// both signs are the same
-
-		if( IsSign() )
-			return ss2.GreaterWithoutSignThan( *this );
-
-	return GreaterWithoutSignThan( ss2 );
-	}
-
-
-	bool operator>=(const Big<exp,man> & ss2) const
-	{
-		return !operator<( ss2 );
-	}
-
-
-	bool operator<=(const Big<exp,man> & ss2) const
-	{
-		return !operator>( ss2 );
-	}
-
-
-	bool operator!=(const Big<exp,man> & ss2) const
-	{
-		return !operator==(ss2);
-	}
-
-
-
-
-
-	/*!
-	*
-	*	standard mathematical operators
-	*
-	*/
-
-
-	/*!
-		an operator for changing the sign
-
-		this method is not changing 'this' but the changed value is returned
-	*/
-	Big<exp,man> operator-() const
-	{
-		Big<exp,man> temp(*this);
-
-		temp.ChangeSign();
-
-	return temp;
-	}
-
-
-	Big<exp,man> operator-(const Big<exp,man> & ss2) const
-	{
-	Big<exp,man> temp(*this);
-
-		temp.Sub(ss2);
-
-	return temp;
-	}
-
-	Big<exp,man> & operator-=(const Big<exp,man> & ss2)
-	{
-		Sub(ss2);
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator+(const Big<exp,man> & ss2) const
-	{
-	Big<exp,man> temp(*this);
-
-		temp.Add(ss2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator+=(const Big<exp,man> & ss2)
-	{
-		Add(ss2);
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator*(const Big<exp,man> & ss2) const
-	{
-	Big<exp,man> temp(*this);
-
-		temp.Mul(ss2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator*=(const Big<exp,man> & ss2)
-	{
-		Mul(ss2);
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator/(const Big<exp,man> & ss2) const
-	{
-	Big<exp,man> temp(*this);
-
-		temp.Div(ss2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator/=(const Big<exp,man> & ss2)
-	{
-		Div(ss2);
-
-	return *this;
-	}
-
-
-	/*!
-		Prefix operator e.g ++variable
-	*/
-	Big<exp,man> & operator++()
-	{
-		AddOne();
-
-	return *this;
-	}
-
-
-	/*!
-		Postfix operator e.g variable++
-	*/
-	Big<exp,man> operator++(int)
-	{
-	Big<exp,man> temp( *this );
-
-		AddOne();
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator--()
-	{
-		SubOne();
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator--(int)
-	{
-	Big<exp,man> temp( *this );
-
-		SubOne();
-
-	return temp;
-	}
-
-
-
-	/*!
-	*
-	*	bitwise operators
-	*   (we do not define bitwise not)
-	*/
-
-
-	Big<exp,man> operator&(const Big<exp,man> & p2) const
-	{
-		Big<exp,man> temp( *this );
-
-		temp.BitAnd(p2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator&=(const Big<exp,man> & p2)
-	{
-		BitAnd(p2);
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator|(const Big<exp,man> & p2) const
-	{
-		Big<exp,man> temp( *this );
-
-		temp.BitOr(p2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator|=(const Big<exp,man> & p2)
-	{
-		BitOr(p2);
-
-	return *this;
-	}
-
-
-	Big<exp,man> operator^(const Big<exp,man> & p2) const
-	{
-		Big<exp,man> temp( *this );
-
-		temp.BitXor(p2);
-
-	return temp;
-	}
-
-
-	Big<exp,man> & operator^=(const Big<exp,man> & p2)
-	{
-		BitXor(p2);
-
-	return *this;
-	}
-
-
-
-
-
-
-	/*!
-		this method makes an integer value by skipping any fractions
-
-		samples:
-		-	10.7 will be 10
-		-	12.1  -- 12
-		-	-20.2 -- 20
-		-	-20.9 -- 20
-		-	-0.7  -- 0
-		-	0.8   -- 0
-	*/
-	void SkipFraction()
-	{
-		if( IsNan() || IsZero() )
-			return;
-
-		if( !exponent.IsSign() )
-			// exponent >=0 -- the value don't have any fractions
-			return;
-
-		if( exponent <= -sint(man*TTMATH_BITS_PER_UINT) )
-		{
-			// the value is from (-1,1), we return zero
-			SetZero();
-			return;
-		}
-
-		// exponent is in range (-man*TTMATH_BITS_PER_UINT, 0)
-		sint e = exponent.ToInt();
-
-		mantissa.ClearFirstBits( -e );
-
-		// we don't have to standardize 'Standardizing()' the value because
-		// there's at least one bit in the mantissa
-		// (the highest bit which we didn't touch)
-	}
-
-
-	/*!
-		this method remains only a fraction from the value
-
-		samples:
-		-	30.56 will be 0.56
-		-	-12.67 will be -0.67
-	*/
-	void RemainFraction()
-	{
-		if( IsNan() || IsZero() )
-			return;
-
-		if( !exponent.IsSign() )
-		{
-			// exponent >= 0 -- the value doesn't have any fractions
-			// we return zero
-			SetZero();
-			return;
-		}
-
-		if( exponent <= -sint(man*TTMATH_BITS_PER_UINT) )
-		{
-			// the value is from (-1,1)
-			// we don't make anything with the value
-			return;
-		}
-
-		// e will be from (-man*TTMATH_BITS_PER_UINT, 0)
-		sint e = exponent.ToInt();
-
-		sint how_many_bits_leave = sint(man*TTMATH_BITS_PER_UINT) + e; // there'll be a subtraction -- e is negative
-		mantissa.Rcl( how_many_bits_leave, 0);
-
-		// there'll not be a carry because the exponent is too small
-		exponent.Sub( how_many_bits_leave );
-
-		// we must call Standardizing() here
-		Standardizing();
-	}
-
-
-
-	/*!
-		this method returns true if the value is integer
-		(there is no a fraction)
-
-		(we don't check NaN)
-	*/
-	bool IsInteger() const
-	{
-		if( IsZero() )
-			return true;
-
-		if( !exponent.IsSign() )
-			// exponent >=0 -- the value don't have any fractions
-			return true;
-
-		if( exponent <= -sint(man*TTMATH_BITS_PER_UINT) )
-			// the value is from (-1,1)
-			return false;
-
-		// exponent is in range (-man*TTMATH_BITS_PER_UINT, 0)
-		sint e = exponent.ToInt();
-		e = -e; // e means how many bits we must check
-
-		uint len  = e / TTMATH_BITS_PER_UINT;
-		uint rest = e % TTMATH_BITS_PER_UINT;
-		uint i    = 0;
-
-		for( ; i<len ; ++i )
-			if( mantissa.table[i] != 0 )
-				return false;
-
-		if( rest > 0 )
-		{
-			uint rest_mask = TTMATH_UINT_MAX_VALUE >> (TTMATH_BITS_PER_UINT - rest);
-			if( (mantissa.table[i] & rest_mask) != 0 )
-				return false;
-		}
-
-	return true;
-	}
-
-
-	/*!
-		this method rounds to the nearest integer value
-		(it returns a carry if it was)
-
-		samples:
-		-	2.3 = 2
-		-	2.8 = 3
-		-	-2.3 = -2
-		-	-2.8 = 3
-	*/
-	uint Round()
-	{
-	Big<exp,man> half;
-	uint c;
-
-		if( IsNan() )
-			return 1;
-
-		if( IsZero() )
-			return 0;
-
-		half.Set05();
-
-		if( IsSign() )
-		{
-			// 'this' is < 0
-			c = Sub( half );
-		}
-		else
-		{
-			// 'this' is > 0
-			c = Add( half );
-		}
-
-		SkipFraction();
-
-	return CheckCarry(c);
-	}
-
-
-
-	/*!
-	*
-	*	input/output operators for standard streams
-	*
-	*/
-
-private:
-
-	/*!
-		an auxiliary method for outputing to standard streams
-	*/
-	template<class ostream_type, class string_type>
-	static ostream_type & OutputToStream(ostream_type & s, const Big<exp,man> & l)
-	{
-	string_type ss;
-
-		l.ToString(ss);
-		s << ss;
-
-	return s;
-	}
-
-
-public:
-
-
-	/*!
-		output to standard streams
-	*/
-	friend std::ostream & operator<<(std::ostream & s,  const Big<exp,man> & l)
-	{
-		return OutputToStream<std::ostream, std::string>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		output to standard streams
-	*/
-	friend std::wostream & operator<<(std::wostream & s,  const Big<exp,man> & l)
-	{
-		return OutputToStream<std::wostream, std::wstring>(s, l);
-	}
-
-#endif
-
-
-
-private:
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class istream_type, class string_type, class char_type>
-	static istream_type & InputFromStream(istream_type & s, Big<exp,man> & l)
-	{
-	string_type ss;
-
-	// char or wchar_t for operator>>
-	char_type z, old_z;
-	bool was_comma = false;
-	bool was_e     = false;
-
-
-		// operator>> omits white characters if they're set for ommiting
-		s >> z;
-
-		if( z=='-' || z=='+' )
-		{
-			ss += z;
-			s >> z; // we're reading a next character (white characters can be ommited)
-		}
-
-		old_z = 0;
-
-		// we're reading only digits (base=10) and only one comma operator
-		for( ; s.good() ; z=static_cast<char_type>(s.get()) )
-		{
-			if( z=='.' ||  z==',' )
-			{
-				if( was_comma || was_e )
-					// second comma operator or comma operator after 'e' character
-					break;
-
-				was_comma = true;
-			}
-			else
-			if( z == 'e' || z == 'E' )
-			{
-				if( was_e )
-					// second 'e' character
-					break;
-
-				was_e = true;
-			}
-			else
-			if( z == '+' || z == '-' )
-			{
-				if( old_z != 'e' && old_z != 'E' )
-					// '+' or '-' is allowed only after 'e' character
-					break;
-			}
-			else
-			if( Misc::CharToDigit(z, 10) < 0 )
-				break;
-
-
-			ss   += z;
-			old_z = z;
-		}
-
-		// we're leaving the last read character
-		// (it's not belonging to the value)
-		s.unget();
-
-		l.FromString( ss );
-
-	return s;
-	}
-
-
-
-public:
-
-	/*!
-		input from standard streams
-	*/
-	friend std::istream & operator>>(std::istream & s, Big<exp,man> & l)
-	{
-		return InputFromStream<std::istream, std::string, char>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		input from standard streams
-	*/
-	friend std::wistream & operator>>(std::wistream & s, Big<exp,man> & l)
-	{
-		return InputFromStream<std::wistream, std::wstring, wchar_t>(s, l);
-	}
-
-#endif
-
-};
-
-
-} // namespace
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathdec.h b/include/geos/algorithm/ttmath/ttmathdec.h
deleted file mode 100644
index ec2c753..0000000
--- a/include/geos/algorithm/ttmath/ttmathdec.h
+++ /dev/null
@@ -1,419 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2012, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef headerfilettmathdec
-#define headerfilettmathdec
-
-#include "ttmathtypes.h"
-#include "ttmaththreads.h"
-#include "ttmathuint.h"
-
-
-
-namespace ttmath
-{
-
-template<uint value_size, uint dec_digits>
-class Dec
-{
-public:
-
-	UInt<value_size> value;
-	unsigned char info;
-
-
-	/*!
-		Sign
-		the mask of a bit from 'info' which means that there is a sign
-		(when the bit is set)
-	*/
-	#define TTMATH_DEC_SIGN 128
-
-
-	/*!
-		Not a number
-		if this bit is set that there is not a valid number
-	*/
-	#define TTMATH_DEC_NAN  64
-
-
-
-
-	Dec()
-	{
-		info = TTMATH_DEC_NAN;
-	}
-
-
-	Dec(const char * s)
-	{
-		info = TTMATH_DEC_NAN;
-		FromString(s);
-	}
-
-
-	Dec<value_size, dec_digits> & operator=(const char * s)
-	{
-		FromString(s);
-
-	return *this;
-	}
-
-
-	uint FromString(const char * s, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(s, after_source, value_read);
-	}
-
-
-	void ToString(std::string & result) const
-	{
-		ToStringBase(result);
-	}
-
-
-	/*!
-		this method clears a specific bit in the 'info' variable
-
-		bit is one of: 
-	*/
-	void ClearInfoBit(unsigned char bit)
-	{
-		info = info & (~bit);
-	}
-
-
-	/*!
-		this method sets a specific bit in the 'info' variable
-
-		bit is one of: 
-
-	*/
-	void SetInfoBit(unsigned char bit)
-	{
-		info = info | bit;
-	}
-
-
-	/*!
-		this method returns true if a specific bit in the 'info' variable is set
-
-		bit is one of: 
-	*/
-	bool IsInfoBit(unsigned char bit) const
-	{
-		return (info & bit) != 0;
-	}
-
-
-	bool IsNan() const 
-	{
-		return IsInfoBit(TTMATH_DEC_NAN);
-	}
-
-
-	bool IsSign() const 
-	{
-		return IsInfoBit(TTMATH_DEC_SIGN);
-	}
-
-
-	/*!
-		this method sets the sign
-
-			e.g.
-			-1 -> -1
-			2  -> -2
-
-		we do not check whether there is a zero or not, if you're using this method
-		you must be sure that the value is (or will be afterwards) different from zero
-	*/
-	void SetSign()
-	{
-		SetInfoBit(TTMATH_DEC_SIGN);
-	}
-
-
-	void SetNaN()
-	{
-		SetInfoBit(TTMATH_DEC_NAN);
-	}
-
-
-	void Abs()
-	{
-		ClearInfoBit(TTMATH_DEC_SIGN);
-	}
-
-
-
-	uint Add(const Dec<value_size, dec_digits> & arg)
-	{
-	uint c = 0;
-
-		if( IsSign() == arg.IsSign() )
-		{
-			c += value.Add(arg.value);		
-		}
-		else
-		{
-			bool is_sign;
-
-			if( value > arg.value )
-			{
-				is_sign = IsSign();
-				value.Sub(arg.value);
-			}
-			else
-			{
-				is_sign = arg.IsSign();
-				UInt<value_size> temp(this->value);
-				value = arg.value;
-				value.Sub(temp);
-			}
-
-			is_sign ? SetSign() : Abs();
-		}
-
-		if( c )
-			SetNaN();
-
-	return (c==0)? 0 : 1;
-	}
-
-/*
-	uint Sub(const Dec<value_size, dec_digits> & arg)
-	{
-	}
-*/
-
-private:
-
-
-
-
-
-
-#ifndef TTMATH_MULTITHREADS
-
-	/*!
-	*/
-	void SetMultipler(UInt<value_size> & result)
-	{
-		// this guardian is initialized before the program runs (static POD type)
-		static int guardian = 0;
-		static UInt<value_size> multipler;
-	
-		if( guardian == 0 )
-		{
-			multipler = 10;
-			multipler.Pow(dec_digits);
-			guardian = 1;
-		}
-
-		result = multipler;
-	}
-
-#else
-
-	/*!
-	*/
-	void SetMultipler(UInt<value_size> & result)
-	{
-		// this guardian is initialized before the program runs (static POD type)
-		volatile static sig_atomic_t guardian = 0;
-		static UInt<value_size> * pmultipler;
-	
-		// double-checked locking
-		if( guardian == 0 )
-		{
-			ThreadLock thread_lock;
-
-			// locking
-			if( thread_lock.Lock() )
-			{
-				static UInt<value_size> multipler;
-
-				if( guardian == 0 )
-				{
-					pmultipler = &multipler;
-					multipler = 10;
-					multipler.Pow(dec_digits);
-					guardian = 1;
-				}
-			}
-			else
-			{
-				// there was a problem with locking, we store the result directly in 'result' object
-				result = 10;
-				result.Pow(dec_digits);
-				
-			return;
-			}
-
-			// automatically unlocking
-		}
-
-		result = *pmultipler;
-	}
-
-#endif
-
-
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class char_type>
-	uint FromStringBase(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
-	{
-		UInt<value_size> multipler;
-		const char_type * after;
-		uint c = 0;
-		info = 0;
-
-		Misc::SkipWhiteCharacters(s);
-
-		if( *s == '-' )
-		{
-			s += 1;
-			SetSign();
-		}
-		else
-		if( *s == '+' )
-		{
-			s += 1;
-		}
-
-		c += value.FromString(s, 10, &after, value_read);
-
-		if( after_source )
-			*after_source = after;
-
-		SetMultipler(multipler);
-		c += value.Mul(multipler);
-
-		if( *after == '.' )
-			c += FromStringBaseAfterComma(after+1, after_source);
-
-		if( c )
-			SetInfoBit(TTMATH_DEC_NAN);
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	template<class char_type>
-	uint FromStringBaseAfterComma(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
-	{
-		UInt<value_size> temp;
-		UInt<value_size> multipler;
-		sint z;
-		uint c = 0;
-		size_t i = dec_digits;
-
-		SetMultipler(multipler);
-
-		for( ; i>0 && (z=Misc::CharToDigit(*s, 10)) != -1 ; --i, ++s )
-		{
-			multipler.DivInt(10);
-			temp.SetZero();
-
-			if( value_read )
-				*value_read = true;
-
-			if( c == 0 )
-			{
-				temp.table[0] = z;
-				c += temp.Mul(multipler);
-				c += value.Add(temp);
-			}
-		}
-
-		if( i == 0 && (z=Misc::CharToDigit(*s, 10)) != -1 && z >= 5 )
-			c += value.AddOne();
-
-		if( after_source )
-		{
-			while( (z=Misc::CharToDigit(*s, 10)) != -1 )
-				s += 1;
-
-			*after_source = s;
-		}
-
-	return c;
-	}
-
-
-
-	template<class string_type>
-	void ToStringBase(string_type & result) const
-	{
-		if( IsNan() )
-		{
-			result = "NaN";
-			return;
-		}
-
-		value.ToStringBase(result, 10, IsSign());
-
-		if( dec_digits > 0 )
-		{
-			size_t size = result.size();
-
-			if( IsSign() && size > 0 )
-				size -= 1;
-
-			if( dec_digits >= size )
-			{
-				size_t zeroes = dec_digits - size + 1;
-				size_t start  = IsSign() ? 1 : 0;
-				result.insert(start, zeroes, '0');
-			}
-
-			result.insert(result.end() - dec_digits, '.');
-		}
-	}
-
-
-
-};
-
-
-} // namespace
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathint.h b/include/geos/algorithm/ttmath/ttmathint.h
deleted file mode 100644
index 7188184..0000000
--- a/include/geos/algorithm/ttmath/ttmathint.h
+++ /dev/null
@@ -1,1923 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-
-#ifndef headerfilettmathint
-#define headerfilettmathint
-
-/*!
-	\file ttmathint.h
-    \brief template class Int<uint>
-*/
-
-#include "ttmathuint.h"
-
-namespace ttmath
-{
-
-
-/*!
-	\brief Int implements a big integer value with a sign
-
-	value_size - how many bytes specify our value
-	-  on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
-	-  on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
-	value_size = 1,2,3,4,5,6....
-*/
-template<uint value_size>
-class Int : public UInt<value_size>
-{
-public:
-
-	/*!
-		this method sets the max value which this class can hold
-		(all bits will be one besides the last one)
-	*/
-	void SetMax()
-	{
-		UInt<value_size>::SetMax();
-		UInt<value_size>::table[value_size-1] = ~ TTMATH_UINT_HIGHEST_BIT;
-	}
-
-
-	/*!
-		this method sets the min value which this class can hold
-		(all bits will be zero besides the last one which is one)
-	*/
-	void SetMin()
-	{
-		UInt<value_size>::SetZero();
-		UInt<value_size>::table[value_size-1] = TTMATH_UINT_HIGHEST_BIT;
-	}
-
-
-	/*!
-		this method sets -1 as the value
-		(-1 is equal the max value in an unsigned type)
-	*/
-	void SetSignOne()
-	{
-		UInt<value_size>::SetMax();
-	}
-
-
-	/*!
-		we change the sign of the value
-
-		if it isn't possible to change the sign this method returns 1
-		else return 0 and changing the sign
-	*/
-	uint ChangeSign()
-	{
-		/*
-			if the value is equal that one which has been returned from SetMin
-			(only the highest bit is set) that means we can't change sign
-			because the value is too big (bigger about one)
-
-			e.g. when value_size = 1 and value is -2147483648 we can't change it to the
-			2147483648 because the max value which can be held is 2147483647
-
-			we don't change the value and we're using this fact somewhere in some methods
-			(if we look on our value without the sign we get the correct value 
-			eg. -2147483648 in Int<1> will be 2147483648 on the UInt<1> type)
-		*/
-		if( UInt<value_size>::IsOnlyTheHighestBitSet() )
-			return 1;
-
-		UInt<value_size> temp(*this);
-		UInt<value_size>::SetZero();
-		UInt<value_size>::Sub(temp);
-
-	return 0;
-	}
-
-
-
-	/*!	
-		this method sets the sign
-
-		samples
-		-  1  -> -1
-		-  -2 -> -2
-		
-		from a positive value we make a negative value,
-		if the value is negative we do nothing
-	*/
-	void SetSign()
-	{
-		if( IsSign() )
-			return;
-
-		ChangeSign();
-	}
-
-
-
-	/*!
-		this method returns true if there's the sign
-
-		(the highest bit will be converted to the bool)
-	*/
-	bool IsSign() const
-	{
-		return UInt<value_size>::IsTheHighestBitSet();
-	}
-
-
-
-	/*!
-		it sets an absolute value
-
-		it can return carry (1) (look on ChangeSign() for details)
-	*/
-	uint Abs()
-	{
-		if( !IsSign() )
-			return 0;
-
-	return ChangeSign();
-	}
-
-
-
-
-	/*!
-	*
-	*	basic mathematic functions
-	*
-	*/
-
-private:
-
-	uint CorrectCarryAfterAdding(bool p1_is_sign, bool p2_is_sign)
-	{
-		if( !p1_is_sign && !p2_is_sign )
-		{
-			if( UInt<value_size>::IsTheHighestBitSet() )
-				return 1;
-		}
-
-		if( p1_is_sign && p2_is_sign )
-		{	
-			if( ! UInt<value_size>::IsTheHighestBitSet() )
-				return 1;
-		}
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		this method adds two value with a sign and returns a carry
-
-		we're using methods from the base class because values are stored with U2
-		we must only make the carry correction
-
-		this = p1(=this) + p2
-
-		when p1>=0 i p2>=0 carry is set when the highest bit of value is set
-		when p1<0  i p2<0  carry is set when the highest bit of value is clear
-		when p1>=0 i p2<0  carry will never be set
-		when p1<0  i p2>=0 carry will never be set
-	*/
-	uint Add(const Int<value_size> & ss2)
-	{
-		bool p1_is_sign = IsSign();
-		bool p2_is_sign = ss2.IsSign();
-
-		UInt<value_size>::Add(ss2);		
-
-	return CorrectCarryAfterAdding(p1_is_sign, p2_is_sign);
-	}
-
-
-	/*!
-		this method adds one *unsigned* word (at a specific position)
-		and returns a carry (if it was)
-
-		look at a description in UInt<>::AddInt(...)
-	*/
-	uint AddInt(uint value, uint index = 0)
-	{
-		bool p1_is_sign = IsSign();
-
-		UInt<value_size>::AddInt(value, index);		
-
-	return CorrectCarryAfterAdding(p1_is_sign, false);
-	}
-
-
-	/*!
-		this method adds two *unsigned* words to the existing value
-		and these words begin on the 'index' position
-
-		index should be equal or smaller than value_size-2 (index <= value_size-2)
-		x1 - lower word, x2 - higher word
-
-		look at a description in UInt<>::AddTwoInts(...)
-	*/
-	uint AddTwoInts(uint x2, uint x1, uint index)
-	{
-		bool p1_is_sign = IsSign();
-
-		UInt<value_size>::AddTwoInts(x2, x1, index);		
-
-	return CorrectCarryAfterAdding(p1_is_sign, false);
-	}
-
-private:
-
-	uint CorrectCarryAfterSubtracting(bool p1_is_sign, bool p2_is_sign)
-	{
-		if( !p1_is_sign && p2_is_sign )
-		{
-			if( UInt<value_size>::IsTheHighestBitSet() )
-				return 1;
-		}
-
-		if( p1_is_sign && !p2_is_sign )
-		{	
-			if( ! UInt<value_size>::IsTheHighestBitSet() )
-				return 1;
-		}
-
-	return 0;
-	}
-
-public:
-
-	/*!	
-		this method subtracts two values with a sign
-
-		we don't use the previous Add because the method ChangeSign can
-		sometimes return carry 
-
-		this = p1(=this) - p2
-
-		-  when p1>=0 i p2>=0 carry will never be set
-		-  when p1<0  i p2<0  carry will never be set
-		-  when p1>=0 i p2<0  carry is set when the highest bit of value is set
-		-  when p1<0  i p2>=0 carry is set when the highest bit of value is clear
-	*/
-	uint Sub(const Int<value_size> & ss2)
-	{
-		bool p1_is_sign = IsSign();
-		bool p2_is_sign = ss2.IsSign();
-
-		UInt<value_size>::Sub(ss2);		
-
-	return CorrectCarryAfterSubtracting(p1_is_sign, p2_is_sign);
-	}
-
-
-	/*!
-		this method subtracts one *unsigned* word (at a specific position)
-		and returns a carry (if it was)
-	*/
-	uint SubInt(uint value, uint index = 0)
-	{
-		bool p1_is_sign = IsSign();
-
-		UInt<value_size>::SubInt(value, index);		
-
-	return CorrectCarryAfterSubtracting(p1_is_sign, false);
-	}
-
-
-	/*!
-		this method adds one to the value and returns carry
-	*/
-	uint AddOne()
-	{
-		bool p1_is_sign = IsSign();
-
-		UInt<value_size>::AddOne();		
-
-	return CorrectCarryAfterAdding(p1_is_sign, false);
-	}
-
-
-	/*!
-		this method subtracts one from the value and returns carry
-	*/
-	uint SubOne()
-	{
-		bool p1_is_sign = IsSign();
-
-		UInt<value_size>::SubOne();		
-
-	return CorrectCarryAfterSubtracting(p1_is_sign, false);
-	}
-
-
-private:
-
-
-	uint CheckMinCarry(bool ss1_is_sign, bool ss2_is_sign)
-	{
-		/*
-			we have to examine the sign of the result now
-			but if the result is with the sign then:
-				1. if the signs were the same that means the result is too big
-				(the result must be without a sign)
-				2. if the signs were different that means if the result
-				is different from that one which has been returned from SetMin()
-				that is carry (result too big) but if the result is equal SetMin()
-				there'll be ok (and the next SetSign will has no effect because
-				the value is actually negative -- look at description of that case
-				in ChangeSign())
-		*/
-		if( IsSign() )
-		{
-			if( ss1_is_sign != ss2_is_sign )
-			{
-				/*
-					there can be one case where signs are different and
-					the result will be equal the value from SetMin() (only the highest bit is set)
-					(this situation is ok)
-				*/
-				if( !UInt<value_size>::IsOnlyTheHighestBitSet() )
-					return 1;
-			}
-			else
-			{
-				// signs were the same
-				return 1;
-			}
-		}
-
-	return 0;
-	}
-
-
-public:
-
-
-	/*!
-		multiplication: this = this * ss2
-
-		it can return a carry
-	*/
-	uint MulInt(sint ss2)
-	{
-	bool ss1_is_sign, ss2_is_sign;
-	uint c;
-
-		ss1_is_sign = IsSign();
-
-		/*
-			we don't have to check the carry from Abs (values will be correct
-			because next we're using the method MulInt from the base class UInt
-			which is without a sign)
-		*/
-		Abs();
-
-		if( ss2 < 0 )
-		{
-			ss2 = -ss2;
-			ss2_is_sign = true;
-		}
-		else
-		{
-			ss2_is_sign = false;
-		}
-
-		c  = UInt<value_size>::MulInt((uint)ss2);
-		c += CheckMinCarry(ss1_is_sign, ss2_is_sign);
-
-		if( ss1_is_sign != ss2_is_sign )
-			SetSign();
-
-	return c;
-	}
-
-
-
-	/*!
-		multiplication this = this * ss2
-
-		it returns carry if the result is too big
-		(we're using the method from the base class but we have to make
-		one correction in account of signs)
-	*/
-	uint Mul(Int<value_size> ss2)
-	{
-	bool ss1_is_sign, ss2_is_sign;
-	uint c;
-
-		ss1_is_sign = IsSign();
-		ss2_is_sign = ss2.IsSign();
-
-		/*
-			we don't have to check the carry from Abs (values will be correct
-			because next we're using the method Mul from the base class UInt
-			which is without a sign)
-		*/
-		Abs();
-		ss2.Abs();
-
-		c  = UInt<value_size>::Mul(ss2);
-		c += CheckMinCarry(ss1_is_sign, ss2_is_sign);
-
-		if( ss1_is_sign != ss2_is_sign )
-			SetSign();
-
-	return c;
-	}
-
-
-	/*!
-		division this = this / ss2
-		returned values:
-		-  0 - ok
-		-  1 - division by zero
-
-		for example: (result means 'this')
-		-  	 20 /  3 --> result:  6   remainder:  2
-		-  	-20 /  3 --> result: -6   remainder: -2
-		-  	 20 / -3 --> result: -6   remainder:  2
-		-  	-20 / -3 --> result:  6   remainder: -2
-
-		in other words: this(old) = ss2 * this(new)(result) + remainder
-	*/
-	uint Div(Int<value_size> ss2, Int<value_size> * remainder = 0)
-	{
-	bool ss1_is_sign, ss2_is_sign;
-
-		ss1_is_sign = IsSign();
-		ss2_is_sign = ss2.IsSign();
-
-		/*
-			we don't have to test the carry from Abs as well as in Mul
-		*/
-		Abs();
-		ss2.Abs();
-
-		uint c = UInt<value_size>::Div(ss2, remainder);
-
-		if( ss1_is_sign != ss2_is_sign )
-			SetSign();
-
-		if( ss1_is_sign && remainder )
-			remainder->SetSign();
-
-	return c;
-	}
-	
-	uint Div(const Int<value_size> & ss2, Int<value_size> & remainder)
-	{
-		return Div(ss2, &remainder);
-	}
-
-
-	/*!
-		division this = this / ss2  (ss2 is int)
-		returned values:
-		-  	0 - ok
-		-  	1 - division by zero
-
-		for example: (result means 'this')
-		-  	 20 /  3 --> result:  6   remainder:  2
-		-  	-20 /  3 --> result: -6   remainder: -2
-		-  	 20 / -3 --> result: -6   remainder:  2
-		-  	-20 / -3 --> result:  6   remainder: -2
-
-		in other words: this(old) = ss2 * this(new)(result) + remainder
-	*/
-	uint DivInt(sint ss2, sint * remainder = 0)
-	{
-	bool ss1_is_sign, ss2_is_sign;
-
-		ss1_is_sign = IsSign();
-
-		/*
-			we don't have to test the carry from Abs as well as in Mul
-		*/
-		Abs();
-
-		if( ss2 < 0 )
-		{
-			ss2 = -ss2;
-			ss2_is_sign = true;
-		}
-		else
-		{
-			ss2_is_sign = false;
-		}
-
-		uint rem;
-		uint c = UInt<value_size>::DivInt((uint)ss2, &rem);
-
-		if( ss1_is_sign != ss2_is_sign )
-			SetSign();
-
-		if( remainder )
-		{
-			if( ss1_is_sign )
-				*remainder = -sint(rem);
-			else
-				*remainder = sint(rem);
-		}
-
-	return c;
-	}
-
-
-	uint DivInt(sint ss2, sint & remainder)
-	{
-		return DivInt(ss2, &remainder);
-	}
-
-
-private:
-
-
-	/*!
-		power this = this ^ pow
-		this can be negative
-		pow is >= 0
-	*/
-	uint Pow2(const Int<value_size> & pow)
-	{
-		bool was_sign = IsSign();
-		uint c = 0;
-
-		if( was_sign )
-			c += Abs();
-
-		uint c_temp = UInt<value_size>::Pow(pow);
-		if( c_temp > 0 )
-			return c_temp; // c_temp can be: 0, 1 or 2
-		
-		if( was_sign && (pow.table[0] & 1) == 1 )
-			// negative value to the power of odd number is negative
-			c += ChangeSign();
-
-	return (c==0)? 0 : 1;
-	}
-
-
-public:
-
-
-	/*!
-		power this = this ^ pow
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect arguments 0^0 or 0^(-something)
-	*/
-	uint Pow(Int<value_size> pow)
-	{
-		if( !pow.IsSign() )
-			return Pow2(pow);
-
-		if( UInt<value_size>::IsZero() )
-			// if 'pow' is negative then
-			// 'this' must be different from zero
-			return 2;
-
-		if( pow.ChangeSign() )
-			return 1;
-
-		Int<value_size> t(*this);
-		uint c_temp = t.Pow2(pow);
-		if( c_temp > 0 )
-			return c_temp;
-
-		UInt<value_size>::SetOne();
-		if( Div(t) )
-			return 1;
-
-	return 0;
-	}
-
-
-
-	/*!
-	*
-	*	convertion methods
-	*
-	*/
-private:
-
-
-	/*!
-		an auxiliary method for converting both from UInt and Int
-	*/
-	template<uint argument_size>
-	uint FromUIntOrInt(const UInt<argument_size> & p, bool UInt_type)
-	{
-		uint min_size = (value_size < argument_size)? value_size : argument_size;
-		uint i;
-
-		for(i=0 ; i<min_size ; ++i)
-			UInt<value_size>::table[i] = p.table[i];
-
-
-		if( value_size > argument_size )
-		{	
-			uint fill;
-
-			if( UInt_type )
-				fill = 0;
-			else
-				fill = (p.table[argument_size-1] & TTMATH_UINT_HIGHEST_BIT)?
-														TTMATH_UINT_MAX_VALUE : 0;
-
-			// 'this' is longer than 'p'
-			for( ; i<value_size ; ++i)
-				UInt<value_size>::table[i] = fill;
-		}
-		else
-		{
-			uint test = (UInt<value_size>::table[value_size-1] & TTMATH_UINT_HIGHEST_BIT)?
-																TTMATH_UINT_MAX_VALUE : 0;
-
-			if( UInt_type && test!=0 )
-				return 1;
-
-			for( ; i<argument_size ; ++i)
-				if( p.table[i] != test )
-					return 1;
-		}
-
-	return 0;
-	}
-
-public:
-
-	/*!
-		this method converts an Int<another_size> type into this class
-
-		this operation has mainly sense if the value from p
-		can be held in this type
-
-		it returns a carry if the value 'p' is too big
-	*/
-	template<uint argument_size>
-	uint FromInt(const Int<argument_size> & p)
-	{
-		return FromUIntOrInt(p, false);
-	}
-
-
-	/*!
-		this method converts the sint type into this class
-	*/
-	uint FromInt(sint value)
-	{
-	uint fill = ( value<0 ) ? TTMATH_UINT_MAX_VALUE : 0;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			UInt<value_size>::table[i] = fill;
-
-		UInt<value_size>::table[0] = uint(value);
-	
-		// there'll never be a carry here
-	return 0;
-	}
-
-
-	/*!
-		this method converts UInt<another_size> into this class
-	*/
-	template<uint argument_size>
-	uint FromUInt(const UInt<argument_size> & p)
-	{
-		return FromUIntOrInt(p, true);
-	}
-
-
-	/*!
-		this method converts UInt<another_size> into this class
-	*/
-	template<uint argument_size>
-	uint FromInt(const UInt<argument_size> & p)
-	{
-		return FromUIntOrInt(p, true);
-	}
-
-
-	/*!
-		this method converts the uint type into this class
-	*/
-	uint FromUInt(uint value)
-	{
-		for(uint i=1 ; i<value_size ; ++i)
-			UInt<value_size>::table[i] = 0;
-
-		UInt<value_size>::table[0] = value;
-
-		// there can be a carry here when the size of this value is equal one word
-		// and the 'value' has the highest bit set
-		if( value_size==1 && (value & TTMATH_UINT_HIGHEST_BIT)!=0 )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts the uint type into this class
-	*/
-	uint FromInt(uint value)
-	{
-		return FromUInt(value);
-	}
-
-
-	/*!
-		the default assignment operator
-	*/
-	Int<value_size> & operator=(const Int<value_size> & p)
-	{
-		FromInt(p);
-
-	return *this;
-	}
-
-
-	/*!
-		this operator converts an Int<another_size> type to this class
-
-		it doesn't return a carry
-	*/
-	template<uint argument_size>
-	Int<value_size> & operator=(const Int<argument_size> & p)
-	{
-		FromInt(p);
-
-	return *this;
-	}
-
-
-	/*!
-		this method converts the sint type to this class
-	*/
-	Int<value_size> & operator=(sint i)
-	{
-		FromInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting the uint to this class
-	*/
-	Int(sint i)
-	{
-		FromInt(i);
-	}
-
-
-	/*!
-		a copy constructor
-	*/
-	Int(const Int<value_size> & u) : UInt<value_size>()
-	{
-		FromInt(u);
-	}
-
-
-	/*!
-		a constructor for copying from another types
-	*/
-	template<uint argument_size>
-	Int(const Int<argument_size> & u)
-	{
-		// look that 'size' we still set as 'value_size' and not as u.value_size
-		FromInt(u);
-	}
-
-
-
-	/*!
-		this operator converts an UInt<another_size> type to this class
-
-		it doesn't return a carry
-	*/
-	template<uint argument_size>
-	Int<value_size> & operator=(const UInt<argument_size> & p)
-	{
-		FromUInt(p);
-
-	return *this;
-	}
-
-
-	/*!
-		this method converts the Uint type to this class
-	*/
-	Int<value_size> & operator=(uint i)
-	{
-		FromUInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting the uint to this class
-	*/
-	Int(uint i)
-	{
-		FromUInt(i);
-	}
-
-
-	/*!
-		a constructor for copying from another types
-	*/
-	template<uint argument_size>
-	Int(const UInt<argument_size> & u)
-	{
-		// look that 'size' we still set as 'value_size' and not as u.value_size
-		FromUInt(u);
-	}
- 
-
-
-#ifdef TTMATH_PLATFORM32
-
-
-	/*!
-		this method converts unsigned 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromUInt(ulint n)
-	{
-		uint c = UInt<value_size>::FromUInt(n);
-
-		if( c )
-			return 1;
-
-		if( value_size == 1 )
-			return ((UInt<value_size>::table[0] & TTMATH_UINT_HIGHEST_BIT) == 0) ? 0 : 1;
-		
-		if( value_size == 2 )
-			return ((UInt<value_size>::table[1] & TTMATH_UINT_HIGHEST_BIT) == 0) ? 0 : 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts unsigned 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromInt(ulint n)
-	{
-		return FromUInt(n);
-	}
-
-		
-	/*!
-		this method converts signed 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromInt(slint n)
-	{
-	uint mask = (n < 0) ? TTMATH_UINT_MAX_VALUE : 0;
-
-		UInt<value_size>::table[0] = (uint)(ulint)n;
-
-		if( value_size == 1 )
-		{
-			if( uint(ulint(n) >> 32) != mask )
-				return 1;
-
-			return ((UInt<value_size>::table[0] & TTMATH_UINT_HIGHEST_BIT) == (mask & TTMATH_UINT_HIGHEST_BIT)) ? 0 : 1;
-		}
-
-		UInt<value_size>::table[1] = (uint)(ulint(n) >> 32);
-
-		for(uint i=2 ; i<value_size ; ++i)
-			UInt<value_size>::table[i] = mask;
-
-	return 0;
-	}
-
-
-	/*!
-		this operator converts unsigned 64 bit int type to this class
-		***this operator is created only on a 32bit platform***
-	*/
-	Int<value_size> & operator=(ulint n)
-	{
-		FromUInt(n);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting unsigned 64 bit int to this class
-		***this constructor is created only on a 32bit platform***
-	*/
-	Int(ulint n)
-	{
-		FromUInt(n);
-	}
-
-
-	/*!
-		this operator converts signed 64 bit int type to this class
-		***this operator is created only on a 32bit platform***
-	*/
-	Int<value_size> & operator=(slint n)
-	{
-		FromInt(n);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting signed 64 bit int to this class
-		***this constructor is created only on a 32bit platform***
-	*/
-	Int(slint n)
-	{
-		FromInt(n);
-	}
-
-#endif
-
-
-
-
-#ifdef TTMATH_PLATFORM64
-
-	/*!
-		this method converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromUInt(unsigned int i)
-	{
-		return FromUInt(uint(i));
-	}
-
-
-	/*!
-		this method converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromInt(unsigned int i)
-	{
-		return FromUInt(i);
-	}
-
-
-	/*!
-		this method converts 32 bit signed int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromInt(signed int i)
-	{
-		return FromInt(sint(i));
-	}
-
-
-	/*!
-		this method converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	Int<value_size> & operator=(unsigned int i)
-	{
-		FromUInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit unsigned int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	Int(unsigned int i)
-	{
-		FromUInt(i);
-	}
-
-
-	/*!
-		this operator converts 32 bit signed int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	Int<value_size> & operator=(signed int i)
-	{
-		FromInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit signed int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	Int(signed int i)
-	{
-		FromInt(i);
-	}
-
-#endif
-
-
-
-	/*!
-		a constructor for converting string to this class (with the base=10)
-	*/
-	Int(const char * s)
-	{
-		FromString(s);
-	}
-
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	Int(const std::string & s)
-	{
-		FromString( s.c_str() );
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		a constructor for converting string to this class (with the base=10)
-	*/
-	Int(const wchar_t * s)
-	{
-		FromString(s);
-	}
-
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	Int(const std::wstring & s)
-	{
-		FromString( s.c_str() );
-	}
-
-#endif
-
-
-	/*!
-		a default constructor
-
-		we don't clear table etc.
-	*/
-	Int()
-	{
-	}
-
-
-	/*!
-		the destructor
-	*/
-	~Int()
-	{
-	}
-
-
-	/*!
-		this method returns the lowest value from table with a sign
-
-		we must be sure when we using this method whether the value
-		will hold in an sint type or not (the rest value from table must be zero or -1)
-	*/
-	sint ToInt() const
-	{
-		return sint( UInt<value_size>::table[0] );
-	}
-
-
-	/*!
-		this method converts the value to uint type
-		can return a carry if the value is too long to store it in uint type
-	*/
-	uint ToUInt(uint & result) const
-	{
-		uint c = UInt<value_size>::ToUInt(result);
-
-		if( value_size == 1 )
-			return (result & TTMATH_UINT_HIGHEST_BIT) == 0 ? 0 : 1;
-
-	return c;
-	}
-
-
-	/*!
-		this method converts the value to uint type
-		can return a carry if the value is too long to store it in uint type
-	*/
-	uint ToInt(uint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to sint type
-		can return a carry if the value is too long to store it in sint type
-	*/
-	uint ToInt(sint & result) const
-	{
-		result = sint( UInt<value_size>::table[0] );
-		uint mask = IsSign() ? TTMATH_UINT_MAX_VALUE : 0;
-
-		if( (result & TTMATH_UINT_HIGHEST_BIT) != (mask & TTMATH_UINT_HIGHEST_BIT) )
-			return 1;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( UInt<value_size>::table[i] != mask )
-				return 1;
-
-	return 0;
-	}
-
-
-#ifdef TTMATH_PLATFORM32
-
-	/*!
-		this method converts the value to ulint type (64 bit unsigned integer)
-		can return a carry if the value is too long to store it in ulint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToUInt(ulint & result) const
-	{
-		uint c = UInt<value_size>::ToUInt(result);
-
-		if( value_size == 1 )
-			return (UInt<value_size>::table[0] & TTMATH_UINT_HIGHEST_BIT) == 0 ? 0 : 1;
-
-		if( value_size == 2 )
-			return (UInt<value_size>::table[1] & TTMATH_UINT_HIGHEST_BIT) == 0 ? 0 : 1;
-
-	return c;
-	}
-
-
-	/*!
-		this method converts the value to ulint type (64 bit unsigned integer)
-		can return a carry if the value is too long to store it in ulint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToInt(ulint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to slint type (64 bit signed integer)
-		can return a carry if the value is too long to store it in slint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToInt(slint & result) const
-	{
-		if( value_size == 1 )
-		{
-			result = slint(sint(UInt<value_size>::table[0]));
-		}
-		else
-		{
-			uint low  = UInt<value_size>::table[0];
-			uint high = UInt<value_size>::table[1];
-
-			result = low;
-			result |= (ulint(high) << TTMATH_BITS_PER_UINT);
-
-			uint mask = IsSign() ? TTMATH_UINT_MAX_VALUE : 0;
-
-			if( (high & TTMATH_UINT_HIGHEST_BIT) != (mask & TTMATH_UINT_HIGHEST_BIT) )
-				return 1;
-
-			for(uint i=2 ; i<value_size ; ++i)
-				if( UInt<value_size>::table[i] != mask )
-					return 1;
-		}
-
-	return 0;
-	}
-
-#endif
-
-
-
-#ifdef TTMATH_PLATFORM64
-
-	/*!
-		this method converts the value to a 32 bit unsigned integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToUInt(unsigned int & result) const
-	{
-		uint c = UInt<value_size>::ToUInt(result);
-
-		if( c || IsSign() )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts the value to a 32 bit unsigned integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToInt(unsigned int & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to a 32 bit signed integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToInt(int & result) const
-	{
-		uint first = UInt<value_size>::table[0];
-
-		result = int(first);
-		uint mask = IsSign() ? TTMATH_UINT_MAX_VALUE : 0;
-	
-		if( (first >> 31) != (mask >> 31) )
-			return 1;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( UInt<value_size>::table[i] != mask )
-				return 1;
-
-	return 0;
-	}
-
-#endif
-
-
-
-
-private:
-
-	/*!	
-		an auxiliary method for converting to a string
-	*/
-	template<class string_type>
-	void ToStringBase(string_type & result, uint b = 10) const
-	{
-		if( IsSign() )
-		{
-			Int<value_size> temp(*this);
-			temp.Abs();
-			temp.UInt<value_size>::ToStringBase(result, b, true);
-		}
-		else
-		{
-			UInt<value_size>::ToStringBase(result, b, false);
-		}
-	}
-
-public:
-
-	/*!	
-		this method converts the value to a string with a base equal 'b'
-	*/
-	void ToString(std::string & result, uint b = 10) const
-	{
-		return ToStringBase(result, b);
-	}
-
-
-	/*!	
-		this method converts the value to a string with a base equal 'b'
-	*/
-	std::string ToString(uint b = 10) const
-	{
-		std::string result;
-		ToStringBase(result, b);
-
-	return result;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!	
-		this method converts the value to a string with a base equal 'b'
-	*/
-	void ToString(std::wstring & result, uint b = 10) const
-	{
-		return ToStringBase(result, b);
-	}
-
-
-	/*!	
-		this method converts the value to a string with a base equal 'b'
-	*/
-	std::wstring ToWString(uint b = 10) const
-	{
-		std::wstring result;
-		ToStringBase(result, b);
-
-	return result;
-	}
-
-#endif
-
-
-
-private:
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class char_type>
-	uint FromStringBase(const char_type * s, uint b = 10, const char_type ** after_source = 0, bool * value_read = 0)
-	{
-	bool is_sign = false;
-	
-		Misc::SkipWhiteCharacters(s);
-
-		if( *s == '-' )
-		{
-			is_sign = true;
-			Misc::SkipWhiteCharacters(++s);
-		}
-		else
-		if( *s == '+' )
-		{
-			Misc::SkipWhiteCharacters(++s);
-		}
-
-		if( UInt<value_size>::FromString(s,b,after_source,value_read) )
-			return 1;
-
-		if( is_sign )
-		{
-		Int<value_size> mmin;
-
-			mmin.SetMin();
-
-			/*
-				the reference to mmin will be automatically converted to the reference
-				to UInt type
-				(this value can be equal mmin -- look at a description in ChangeSign())
-			*/
-			if( UInt<value_size>::operator>( mmin ) )
-				return 1;
-
-			/*
-				if the value is equal mmin the method ChangeSign() does nothing (only returns 1 but we ignore it)
-			*/
-			ChangeSign();
-		}
-		else
-		{
-		Int<value_size> mmax;
-
-			mmax.SetMax();
-
-			if( UInt<value_size>::operator>( mmax ) )
-					return 1;
-		}
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		this method converts a string into its value
-		it returns carry=1 if the value will be too big or an incorrect base 'b' is given
-
-		string is ended with a non-digit value, for example:
-			"-12" will be translated to -12
-			as well as:
-			"- 12foo" will be translated to -12 too
-
-		existing first white characters will be ommited
-		(between '-' and a first digit can be white characters too)
-
-		after_source (if exists) is pointing at the end of the parsed string
-
-		value_read (if exists) tells whether something has actually been read (at least one digit)
-	*/
-	uint FromString(const char * s, uint b = 10, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(s, b, after_source, value_read);
-	}
-
-
-	/*!
-		this method converts a string into its value
-	*/
-	uint FromString(const wchar_t * s, uint b = 10, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(s, b, after_source, value_read);
-	}
-
-
-	/*!
-		this method converts a string into its value
-		it returns carry=1 if the value will be too big or an incorrect base 'b' is given
-	*/
-	uint FromString(const std::string & s, uint b = 10)
-	{
-		return FromString( s.c_str(), b );
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	Int<value_size> & operator=(const char * s)
-	{
-		FromString(s);
-
-	return *this;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		this method converts a string into its value
-		it returns carry=1 if the value will be too big or an incorrect base 'b' is given
-	*/
-	uint FromString(const std::wstring & s, uint b = 10)
-	{
-		return FromString( s.c_str(), b );
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	Int<value_size> & operator=(const wchar_t * s)
-	{
-		FromString(s);
-
-	return *this;
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	Int<value_size> & operator=(const std::wstring & s)
-	{
-		FromString( s.c_str() );
-
-	return *this;
-	}
-
-#endif
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	Int<value_size> & operator=(const std::string & s)
-	{
-		FromString( s.c_str() );
-
-	return *this;
-	}
-
-
-
-	/*!
-	*
-	*	methods for comparing
-	*
-	*
-	*/
-
-	bool operator==(const Int<value_size> & l) const
-	{
-		return UInt<value_size>::operator==(l);
-	}
-
-	bool operator!=(const Int<value_size> & l) const
-	{
-		return UInt<value_size>::operator!=(l);
-	}
-
-	bool operator<(const Int<value_size> & l) const
-	{
-		sint i=value_size-1;
-
-		sint a1 = sint(UInt<value_size>::table[i]);
-		sint a2 = sint(l.table[i]);
-
-		if( a1 != a2 )
-			return a1 < a2;
-
-
-		for(--i ; i>=0 ; --i)
-		{
-			if( UInt<value_size>::table[i] != l.table[i] )
-				// comparison as unsigned int
-				return UInt<value_size>::table[i] < l.table[i];
-		}
-
-	// they're equal
-	return false;
-	}
-
-
-	bool operator>(const Int<value_size> & l) const
-	{
-		sint i=value_size-1;
-
-		sint a1 = sint(UInt<value_size>::table[i]);
-		sint a2 = sint(l.table[i]);
-
-		if( a1 != a2 )
-			return a1 > a2;
-
-
-		for(--i ; i>=0 ; --i)
-		{
-			if( UInt<value_size>::table[i] != l.table[i] )
-				// comparison as unsigned int
-				return UInt<value_size>::table[i] > l.table[i];
-		}
-
-	// they're equal
-	return false;
-	}
-
-
-	bool operator<=(const Int<value_size> & l) const
-	{
-		sint i=value_size-1;
-
-		sint a1 = sint(UInt<value_size>::table[i]);
-		sint a2 = sint(l.table[i]);
-
-		if( a1 != a2 )
-			return a1 < a2;
-
-
-		for(--i ; i>=0 ; --i)
-		{
-			if( UInt<value_size>::table[i] != l.table[i] )
-				// comparison as unsigned int
-				return UInt<value_size>::table[i] < l.table[i];
-		}
-
-	// they're equal
-	return true;
-	}
-
-
-	bool operator>=(const Int<value_size> & l) const
-	{
-		sint i=value_size-1;
-
-		sint a1 = sint(UInt<value_size>::table[i]);
-		sint a2 = sint(l.table[i]);
-
-		if( a1 != a2 )
-			return a1 > a2;
-
-
-		for(--i ; i>=0 ; --i)
-		{
-			if( UInt<value_size>::table[i] != l.table[i] )
-				// comparison as unsigned int
-				return UInt<value_size>::table[i] > l.table[i];
-		}
-
-	// they're equal
-	return true;
-	}
-
-
-
-	/*!
-	*
-	*	standard mathematical operators 
-	*
-	*/
-
-
-	/*!
-		an operator for changing the sign
-
-		it's not changing 'this' but the changed value will be returned
-	*/
-	Int<value_size> operator-() const
-	{
-	Int<value_size> temp(*this);
-
-		temp.ChangeSign();
-		
-	return temp;
-	}
-
-
-	Int<value_size> operator-(const Int<value_size> & p2) const
-	{
-	Int<value_size> temp(*this);
-
-		temp.Sub(p2);
-
-	return temp;
-	}
-
-
-	Int<value_size> & operator-=(const Int<value_size> & p2)
-	{
-		Sub(p2);
-
-	return *this;
-	}
-
-
-	Int<value_size> operator+(const Int<value_size> & p2) const
-	{
-	Int<value_size> temp(*this);
-
-		temp.Add(p2);
-
-	return temp;
-	}
-
-
-	Int<value_size> & operator+=(const Int<value_size> & p2)
-	{
-		Add(p2);
-
-	return *this;
-	}
-
-
-	Int<value_size> operator*(const Int<value_size> & p2) const
-	{
-	Int<value_size> temp(*this);
-
-		temp.Mul(p2);
-
-	return temp;
-	}
-
-
-	Int<value_size> & operator*=(const Int<value_size> & p2)
-	{
-		Mul(p2);
-
-	return *this;
-	}
-
-
-	Int<value_size> operator/(const Int<value_size> & p2) const
-	{
-	Int<value_size> temp(*this);
-
-		temp.Div(p2);
-
-	return temp;
-	}
-
-
-	Int<value_size> & operator/=(const Int<value_size> & p2)
-	{
-		Div(p2);
-
-	return *this;
-	}
-
-
-	Int<value_size> operator%(const Int<value_size> & p2) const
-	{
-	Int<value_size> temp(*this);
-	Int<value_size> remainder;
-	
-		temp.Div(p2, remainder);
-
-	return remainder;
-	}
-
-
-	Int<value_size> & operator%=(const Int<value_size> & p2)
-	{
-	Int<value_size> remainder;
-	
-		Div(p2, remainder);
-		operator=(remainder);
-
-	return *this;
-	}
-
-
-	/*!
-		Prefix operator e.g. ++variable
-	*/
-	UInt<value_size> & operator++()
-	{
-		AddOne();
-
-	return *this;
-	}
-
-
-	/*!
-		Postfix operator e.g. variable++
-	*/
-	UInt<value_size> operator++(int)
-	{
-	UInt<value_size> temp( *this );
-
-		AddOne();
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator--()
-	{
-		SubOne();
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator--(int)
-	{
-	UInt<value_size> temp( *this );
-
-		SubOne();
-
-	return temp;
-	}
-
-
-
-	/*!
-	*
-	*	input/output operators for standard streams
-	*
-	*/
-
-private:
-
-	/*!
-		an auxiliary method for outputing to standard streams
-	*/
-	template<class ostream_type, class string_type>
-	static ostream_type & OutputToStream(ostream_type & s, const Int<value_size> & l)
-	{
-	string_type ss;
-
-		l.ToString(ss);
-		s << ss;
-
-	return s;
-	}
-
-
-
-public:
-
-
-	/*!
-		output to standard streams
-	*/
-	friend std::ostream & operator<<(std::ostream & s, const Int<value_size> & l)
-	{
-		return OutputToStream<std::ostream, std::string>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		output to standard streams
-	*/
-	friend std::wostream & operator<<(std::wostream & s, const Int<value_size> & l)
-	{
-		return OutputToStream<std::wostream, std::wstring>(s, l);
-	}
-
-#endif
-
-
-
-private:
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class istream_type, class string_type, class char_type>
-	static istream_type & InputFromStream(istream_type & s, Int<value_size> & l)
-	{
-	string_type ss;
-	
-	// char or wchar_t for operator>>
-	char_type z;
-	
-		// operator>> omits white characters if they're set for ommiting
-		s >> z;
-
-		if( z=='-' || z=='+' )
-		{
-			ss += z;
-			s >> z; // we're reading a next character (white characters can be ommited)
-		}
-
-		// we're reading only digits (base=10)
-		while( s.good() && Misc::CharToDigit(z, 10)>=0 )
-		{
-			ss += z;
-			z = static_cast<char_type>(s.get());
-		}
-
-		// we're leaving the last readed character
-		// (it's not belonging to the value)
-		s.unget();
-
-		l.FromString(ss);
-
-	return s;
-	}
-
-
-public:
-
-	/*!
-		input from standard streams
-	*/
-	friend std::istream & operator>>(std::istream & s, Int<value_size> & l)
-	{
-		return InputFromStream<std::istream, std::string, char>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		input from standard streams
-	*/
-	friend std::wistream & operator>>(std::wistream & s, Int<value_size> & l)
-	{
-		return InputFromStream<std::wistream, std::wstring, wchar_t>(s, l);
-	}
-#endif
-
-
-};
-
-} // namespace
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathmisc.h b/include/geos/algorithm/ttmath/ttmathmisc.h
deleted file mode 100644
index c9e1560..0000000
--- a/include/geos/algorithm/ttmath/ttmathmisc.h
+++ /dev/null
@@ -1,250 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2010, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef headerfilettmathmisc
-#define headerfilettmathmisc
-
-
-/*!
-	\file ttmathmisc.h
-    \brief some helpful functions
-*/
-
-
-#include <string>
-
-
-namespace ttmath
-{
-
-/*!
-	some helpful functions
-*/
-class Misc
-{
-public:
-
-
-/*
- *
- *	AssignString(result, str)
- *	result = str
- *
- */
-
-/*!
-	result = str
-*/
-static void AssignString(std::string & result, const char * str)
-{
-	result = str;
-}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-/*!
-	result = str
-*/
-static void AssignString(std::wstring & result, const char * str)
-{
-	result.clear();
-
-	for( ; *str ; ++str )
-		result += *str;
-}
-
-
-/*!
-	result = str
-*/
-static void AssignString(std::wstring & result, const std::string & str)
-{
-	return AssignString(result, str.c_str());
-}
-
-
-/*!
-	result = str
-*/
-static void AssignString(std::string & result, const wchar_t * str)
-{
-	result.clear();
-
-	for( ; *str ; ++str )
-		result += static_cast<char>(*str);
-}
-
-
-/*!
-	result = str
-*/
-static void AssignString(std::string & result, const std::wstring & str)
-{
-	return AssignString(result, str.c_str());
-}
-
-#endif
-
-
-/*
- *
- *	AddString(result, str)
- *	result += str
- *
- */
-
-
-/*!
-	result += str
-*/
-static void AddString(std::string & result, const char * str)
-{
-	result += str;
-}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-/*!
-	result += str
-*/
-static void AddString(std::wstring & result, const char * str)
-{
-	for( ; *str ; ++str )
-		result += *str;
-}
-
-#endif
-
-
-/*
-	this method omits any white characters from the string
-	char_type is char or wchar_t
-*/
-template<class char_type>
-static void SkipWhiteCharacters(const char_type * & c)
-{
-	// 13 is at the end in a DOS text file (\r\n)
-	while( (*c==' ' ) || (*c=='\t') || (*c==13 ) || (*c=='\n') )
-		++c;
-}
-
-
-
-
-/*!
-	this static method converts one character into its value
-
-	for example:
-	-  1 -> 1
-	-  8 -> 8
-	-  A -> 10
-	-  f -> 15
-
-	this method don't check whether c is correct or not
-*/
-static uint CharToDigit(uint c)
-{
-	if(c>='0' && c<='9')
-		return c-'0';
-
-	if(c>='a' && c<='z')
-		return c-'a'+10;
-
-return c-'A'+10;
-}
-
-
-/*!
-	this method changes a character 'c' into its value
-	(if there can't be a correct value it returns -1)
-
-	for example:
-	-  c=2, base=10 -> function returns 2
-	-  c=A, base=10 -> function returns -1
-	-  c=A, base=16 -> function returns 10
-*/
-static sint CharToDigit(uint c, uint base)
-{
-	if( c>='0' && c<='9' )
-		c=c-'0';
-	else
-	if( c>='a' && c<='z' )
-		c=c-'a'+10;
-	else
-	if( c>='A' && c<='Z' )
-		c=c-'A'+10;
-	else
-		return -1;
-
-
-	if( c >= base )
-		return -1;
-
-
-return sint(c);
-}
-
-
-
-/*!
-	this method converts a digit into a char
-	digit should be from <0,F>
-	(we don't have to get a base)
-	
-	for example:
-	-  1  -> 1
-	-  8  -> 8
-	-  10 -> A
-	-  15 -> F
-*/
-static uint DigitToChar(uint digit)
-{
-	if( digit < 10 )
-		return digit + '0';
-
-return digit - 10 + 'A';
-}
-
-
-}; // struct Misc
-
-}
-
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathobjects.h b/include/geos/algorithm/ttmath/ttmathobjects.h
deleted file mode 100644
index 2902c9a..0000000
--- a/include/geos/algorithm/ttmath/ttmathobjects.h
+++ /dev/null
@@ -1,812 +0,0 @@
-/*
- * This file is a part of TTMath Mathematical Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-#ifndef headerfilettmathobject
-#define headerfilettmathobject
-
-/*!
-	\file ttmathobjects.h
-    \brief Mathematic functions.
-*/
-
-#include <string>
-#include <vector>
-#include <list>
-#include <map>
-
-#include "ttmathtypes.h"
-#include "ttmathmisc.h"
-
-
-namespace ttmath
-{
-
-/*!
-	objects of this class are used with the mathematical parser
-	they hold variables or functions defined by a user
-
-	each object has its own table in which we're keeping variables or functions
-*/
-class Objects
-{
-public:
-
-
-	/*!
-		one item (variable or function)
-		'items' will be on the table
-	*/
-	struct Item
-	{
-		// name of a variable of a function
-		// internally we store variables and funcions as std::string (not std::wstring even when wide characters are used)
-		std::string value;
-
-		// number of parameters required by the function
-		// (if there's a variable this 'param' is ignored)
-		int param;
-
-		Item() { param = 0; }
-		Item(const std::string & v, int p) : value(v), param(p) {}
-	};
-
-	// 'Table' is the type of our table
-	typedef std::map<std::string, Item> Table;
-	typedef	Table::iterator Iterator;
-	typedef	Table::const_iterator CIterator;
-
-
-
-	/*!
-		this method returns true if a character 'c' is a character
-		which can be in a name
-		
-		if 'can_be_digit' is true that means when the 'c' is a digit this 
-		method returns true otherwise it returns false
-	*/
-	static bool CorrectCharacter(int c, bool can_be_digit)
-	{
-		if( (c>='a' && c<='z') || (c>='A' && c<='Z') )
-			return true;
-
-		if( can_be_digit && ((c>='0' && c<='9') || c=='_') )
-			return true;
-
-	return false;
-	}
-
-
-	/*!
-		this method returns true if the name can be as a name of an object
-	*/
-	template<class string_type>
-	static bool IsNameCorrect(const string_type & name)
-	{
-		if( name.empty() )
-			return false;
-
-		if( !CorrectCharacter(name[0], false) )
-			return false;
-
-		typename string_type::const_iterator i = name.begin();
-
-		for(++i ; i!=name.end() ; ++i)
-			if( !CorrectCharacter(*i, true) )
-				return false;
-		
-	return true;
-	}
-
-
-	/*!
-		this method returns true if such an object is defined (name exists)
-	*/
-	bool IsDefined(const std::string & name)
-	{
-		Iterator i = table.find(name);
-
-		if( i != table.end() )
-			// we have this object in our table
-			return true;
-
-	return false;
-	}
-
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method returns true if such an object is defined (name exists)
-	*/
-	bool IsDefined(const std::wstring & name)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return false;
-
-		Misc::AssignString(str_tmp1, name);
-
-	return IsDefined(str_tmp1);
-	}
-
-#endif
-
-
-	/*!
-		this method adds one object (variable of function) into the table
-	*/
-	ErrorCode Add(const std::string & name, const std::string & value, int param = 0)
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Iterator i = table.find(name);
-
-		if( i != table.end() )
-			// we have this object in our table
-			return err_object_exists;
-
-		table.insert( std::make_pair(name, Item(value, param)) );
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method adds one object (variable of function) into the table
-	*/
-	ErrorCode Add(const std::wstring & name, const std::wstring & value, int param = 0)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-		Misc::AssignString(str_tmp2, value);
-		
-	return Add(str_tmp1, str_tmp2, param);
-	}
-
-#endif
-
-
-	/*!
-		this method returns 'true' if the table is empty
-	*/
-	bool Empty() const
-	{
-		return table.empty();
-	}
-
-
-	/*!
-		this method clears the table
-	*/
-	void Clear()
-	{
-		return table.clear();
-	}
-
-
-	/*!
-		this method returns 'const_iterator' on the first item on the table
-	*/
-	CIterator Begin() const
-	{
-		return table.begin();
-	}
-
-
-	/*!
-		this method returns 'const_iterator' pointing at the space after last item
-		(returns table.end())
-	*/
-	CIterator End() const
-	{
-		return table.end();
-	}
-
-
-	/*!
-		this method changes the value and the number of parameters for a specific object
-	*/
-	ErrorCode EditValue(const std::string & name, const std::string & value, int param = 0)
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Iterator i = table.find(name);
-
-		if( i == table.end() )
-			return err_unknown_object;
-	
-		i->second.value = value;
-		i->second.param = param;
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		this method changes the value and the number of parameters for a specific object
-	*/
-	ErrorCode EditValue(const std::wstring & name, const std::wstring & value, int param = 0)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-		Misc::AssignString(str_tmp2, value);
-		
-	return EditValue(str_tmp1, str_tmp2, param);
-	}
-
-#endif
-
-
-	/*!
-		this method changes the name of a specific object
-	*/
-	ErrorCode EditName(const std::string & old_name, const std::string & new_name)
-	{
-		if( !IsNameCorrect(old_name) || !IsNameCorrect(new_name) )
-			return err_incorrect_name;
-
-		Iterator old_i = table.find(old_name);
-		if( old_i == table.end() )
-			return err_unknown_object;
-		
-		if( old_name == new_name )
-			// the new name is the same as the old one
-			// we treat it as a normal situation
-			return err_ok;
-
-		ErrorCode err = Add(new_name, old_i->second.value, old_i->second.param);
-		
-		if( err == err_ok ) 
-		{
-			old_i = table.find(old_name);
-			TTMATH_ASSERT( old_i != table.end() )
-
-			table.erase(old_i);
-		}
-
-	return err;
-	}
-
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		this method changes the name of a specific object
-	*/
-	ErrorCode EditName(const std::wstring & old_name, const std::wstring & new_name)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(old_name) || !IsNameCorrect(new_name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, old_name);
-		Misc::AssignString(str_tmp2, new_name);
-
-	return EditName(str_tmp1, str_tmp2);
-	}
-
-#endif
-
-
-	/*!
-		this method deletes an object
-	*/
-	ErrorCode Delete(const std::string & name)
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Iterator i = table.find(name);
-
-		if( i == table.end() )
-			return err_unknown_object;
-
-		table.erase( i );
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		this method deletes an object
-	*/
-	ErrorCode Delete(const std::wstring & name)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-
-	return Delete(str_tmp1);
-	}	
-		
-#endif
-
-
-	/*!
-		this method gets the value of a specific object
-	*/
-	ErrorCode GetValue(const std::string & name, std::string & value) const
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		CIterator i = table.find(name);
-
-		if( i == table.end() )
-		{
-			value.clear();
-			return err_unknown_object;
-		}
-
-		value = i->second.value;
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method gets the value of a specific object
-	*/
-	ErrorCode GetValue(const std::wstring & name, std::wstring & value)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-		ErrorCode err = GetValue(str_tmp1, str_tmp2);
-		Misc::AssignString(value, str_tmp2);
-
-	return err;
-	}
-
-#endif
-
-
-	/*!
-		this method gets the value of a specific object
-		(this version is used for not copying the whole string)
-	*/
-	ErrorCode GetValue(const std::string & name, const char ** value) const
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		CIterator i = table.find(name);
-
-		if( i == table.end() )
-		{
-			*value = 0;
-			return err_unknown_object;
-		}
-
-		*value = i->second.value.c_str();
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method gets the value of a specific object
-		(this version is used for not copying the whole string)
-	*/
-	ErrorCode GetValue(const std::wstring & name, const char ** value)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-
-	return GetValue(str_tmp1, value);
-	}
-
-#endif
-
-
-	/*!
-		this method gets the value and the number of parameters
-		of a specific object
-	*/
-	ErrorCode GetValueAndParam(const std::string & name, std::string & value, int * param) const
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		CIterator i = table.find(name);
-
-		if( i == table.end() )
-		{
-			value.clear();
-			*param = 0;
-			return err_unknown_object;
-		}
-
-		value = i->second.value;
-		*param = i->second.param;
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method gets the value and the number of parameters
-		of a specific object
-	*/
-	ErrorCode GetValueAndParam(const std::wstring & name, std::wstring & value, int * param)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-		ErrorCode err = GetValueAndParam(str_tmp1, str_tmp2, param);
-		Misc::AssignString(value, str_tmp2);
-
-	return err;
-	}
-
-#endif
-
-
-	/*!
-		this method sets the value and the number of parameters
-		of a specific object
-		(this version is used for not copying the whole string)
-	*/
-	ErrorCode GetValueAndParam(const std::string & name, const char ** value, int * param) const
-	{
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		CIterator i = table.find(name);
-
-		if( i == table.end() )
-		{
-			*value = 0;
-			*param = 0;
-			return err_unknown_object;
-		}
-
-		*value = i->second.value.c_str();
-		*param = i->second.param;
-
-	return err_ok;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-
-	/*!
-		this method sets the value and the number of parameters
-		of a specific object
-		(this version is used for not copying the whole string
-		but in fact we make one copying during AssignString())
-	*/
-	ErrorCode GetValueAndParam(const std::wstring & name, const char ** value, int * param)
-	{
-		// we should check whether the name (in wide characters) are correct
-		// before calling AssignString() function
-		if( !IsNameCorrect(name) )
-			return err_incorrect_name;
-
-		Misc::AssignString(str_tmp1, name);
-
-	return GetValueAndParam(str_tmp1, value, param);
-	}
-
-
-#endif
-
-
-	/*!
-		this method returns a pointer into the table
-	*/
-	Table * GetTable()
-	{
-		return &table;
-	}
-
-
-private:
-
-	Table table;
-	std::string str_tmp1, str_tmp2;
-
-}; // end of class Objects
-
-
-
-
-
-
-
-/*!
-	objects of the class History are used to keep values in functions
-	which take a lot of time during calculating, for instance in the 
-	function Factorial(x)
-
-	it means that when we're calculating e.g. Factorial(1000) and the 
-	Factorial finds that we have calculated it before, the value (result)
-	is taken from the history
-*/
-template<class ValueType>
-class History
-{
-	/*!
-		one item in the History's object holds a key, a value for the key
-		and a corresponding error code
-	*/
-	struct Item
-	{
-		ValueType key, value;
-		ErrorCode err;
-	};
-
-
-	/*!
-		we use std::list for simply deleting the first item
-		but because we're searching through the whole container
-		(in the method Get) the container should not be too big
-		(linear time of searching)
-	*/
-	typedef std::list<Item> buffer_type;
-	buffer_type buffer;
-	typename buffer_type::size_type buffer_max_size;
-
-public:
-	
-	/*!
-		default constructor
-		default max size of the History's container is 15 items
-	*/
-	History()
-	{
-		buffer_max_size = 15;
-	}
-
-
-	/*!
-		a constructor which takes another value of the max size
-		of the History's container
-	*/
-	History(typename buffer_type::size_type new_size)
-	{
-		buffer_max_size = new_size;
-	}
-
-
-	/*!
-		this method adds one item into the History
-		if the size of the container is greater than buffer_max_size
-		the first item will be removed
-	*/
-	void Add(const ValueType & key, const ValueType & value, ErrorCode err)
-	{
-		Item item;
-		item.key   = key;
-		item.value = value;
-		item.err   = err;
-
-		buffer.insert( buffer.end(), item );
-
-		if( buffer.size() > buffer_max_size )
-			buffer.erase(buffer.begin());
-	}
-
-
-	/*!
-		this method checks whether we have an item which has the key equal 'key'
-
-		if there's such item the method sets the 'value' and the 'err'
-		and returns true otherwise it returns false and 'value' and 'err'
-		remain unchanged
-	*/
-	bool Get(const ValueType & key, ValueType & value, ErrorCode & err)
-	{
-		typename buffer_type::iterator i = buffer.begin();
-
-		for( ; i != buffer.end() ; ++i )
-		{
-			if( i->key == key )
-			{
-				value = i->value;
-				err   = i->err;
-				return true;
-			}
-		}
-
-	return false;
-	}
-
-
-	/*!
-		this methods deletes an item
-
-		we assume that there is only one item with the 'key'
-		(this methods removes the first one)
-	*/
-	bool Remove(const ValueType & key)
-	{
-		typename buffer_type::iterator i = buffer.begin();
-
-		for( ; i != buffer.end() ; ++i )
-		{
-			if( i->key == key )
-			{
-				buffer.erase(i);
-				return true;
-			}
-		}
-
-	return false;
-	}
-
-
-}; // end of class History
-
-
-
-/*!
-	this is an auxiliary class used when calculating Gamma() or Factorial()
-
-	in multithreaded environment you can provide an object of this class to
-	the Gamma() or Factorial() function, e.g;
-
-		typedef Big<1, 3> MyBig;
-		MyBig x = 123456;
-		CGamma<MyBig> cgamma;
-		std::cout << Gamma(x, cgamma);
-
-	each thread should have its own CGamma<> object
-
-	in a single-thread environment a CGamma<> object is a static variable
-	and you don't have to explicitly use it, e.g.
-
-		typedef Big<1, 3> MyBig;
-		MyBig x = 123456;
-		std::cout << Gamma(x);
-*/
-template<class ValueType>
-struct CGamma
-{
-	/*!
-		this table holds factorials
-			1
-			1
-			2
-			6
-			24
-			120
-			720
-			.......
-	*/
-	std::vector<ValueType> fact;
-
-
-	/*!
-		this table holds Bernoulli numbers
-			1
-			-0.5
-			0.166666666666666666666666667
-			0
-			-0.0333333333333333333333333333
-			0
-			0.0238095238095238095238095238
-			0
-			-0.0333333333333333333333333333
-			0
-			0.075757575757575757575757576
-			.....
-	*/
-	std::vector<ValueType> bern;
-
-
-	/*!
-		here we store some calculated values
-		(this is for speeding up, if the next argument of Gamma() or Factorial()
-		is in the 'history' then the result we are not calculating but simply
-		return from the 'history' object)
-	*/
-	History<ValueType> history;
-
-
-	/*!
-		this method prepares some coefficients: factorials and Bernoulli numbers
-		stored in 'fact' and 'bern' objects
-		
-		how many values should be depends on the size of the mantissa - if
-		the mantissa is larger then we must calculate more values
-		    for a mantissa which consists of 256 bits (8 words on a 32bit platform)
-			we have to calculate about 30 values (the size of fact and bern will be 30),
-			and for a 2048 bits mantissa we have to calculate 306 coefficients
-
-		you don't have to call this method, these coefficients will be automatically calculated
-		when they are needed
-
-		you must note that calculating these coefficients is a little time-consuming operation,
-		(especially when the mantissa is large) and first call to Gamma() or Factorial()
-		can take more time than next calls, and in the end this is the point when InitAll()
-		comes in handy: you can call this method somewhere at the beginning of your program
-	*/
-	void InitAll();
-	// definition is in ttmath.h
-};
-
-
-
-
-} // namespace
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathparser.h b/include/geos/algorithm/ttmath/ttmathparser.h
deleted file mode 100644
index d9b7ce7..0000000
--- a/include/geos/algorithm/ttmath/ttmathparser.h
+++ /dev/null
@@ -1,2777 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-
-#ifndef headerfilettmathparser
-#define headerfilettmathparser
-
-/*!
-	\file ttmathparser.h
-    \brief A mathematical parser
-*/
-
-#include <cstdio>
-#include <vector>
-#include <map>
-#include <set>
-
-#include "ttmath.h"
-#include "ttmathobjects.h"
-#include "ttmathmisc.h"
-
-
-
-namespace ttmath
-{
-
-/*! 
-	\brief Mathematical parser
-
-	let x will be an input string meaning an expression for converting:
-	
-	x = [+|-]Value[operator[+|-]Value][operator[+|-]Value]...
-	where:
-		an operator can be:
-			^ (pow)   (the heighest priority)
-
-			* (mul)   (or multiplication without an operator -- short mul)
-			/ (div)   (* and / have the same priority)
-
-			+ (add)
-			- (sub)   (+ and - have the same priority)
-
-			< (lower than)
-			> (greater than)
-			<= (lower or equal than)
-			>= (greater or equal than)
-			== (equal)
-			!= (not equal)   (all above logical operators have the same priority)
-			
-			&& (logical and)
-
-			|| (logical or) (the lowest priority)
-
-		short mul:
- 		 if the second Value (Var below) is either a variable or function there might not be 
-		 an operator between them, e.g.
-	        "[+|-]Value Var" is treated as "[+|-]Value * Var" and the multiplication
-	        has the same priority as a normal multiplication:
-			4x       = 4 * x
-			2^3m     = (2^3)* m
-			6h^3     = 6 * (h^3)
-	        2sin(pi) = 2 * sin(pi)
-			etc.
-
-		Value can be:
-			constant e.g. 100, can be preceded by operators for changing the base (radix): [#|&]
-			                   # - hex
-							   & - bin
-							   sample: #10  = 16
-							           &10  = 2
-			variable e.g. pi
-			another expression between brackets e.g (x)
-			function e.g. sin(x)
-
-	for example a correct input string can be:
-		"1"
-		"2.1234"
-		"2,1234"    (they are the same, by default we can either use a comma or a dot)
-		"1 + 2"
-		"(1 + 2) * 3"
-		"pi"
-		"sin(pi)"
-		"(1+2)*(2+3)"
-		"log(2;1234)"    there's a semicolon here (not a comma), we use it in functions
-		                 for separating parameters
-	    "1 < 2"  (the result will be: 1)
-	    "4 < 3"  (the result will be: 0)
-		"2+x"    (of course if the variable 'x' is defined)
-		"4x+10"
-		"#20+10"     = 32 + 10 = 42
-		"10 ^ -&101" = 10 ^ -5 = 0.00001
-		"8 * -&10"   = 8 * -2  = -16
-		etc.
-
-	we can also use a semicolon for separating any 'x' input strings
-	for example:
-		"1+2;4+5"
-	the result will be on the stack as follows:
-		stack[0].value=3
-		stack[1].value=9
-*/
-template<class ValueType>
-class Parser
-{
-private:
-
-/*!
-	there are 5 mathematical operators as follows (with their standard priorities):
-		add (+)
-		sub (-)
-		mul (*)
-		div (/)
-		pow (^)
-		and 'shortmul' used when there is no any operators between
-		a first parameter and a variable or function
-		(the 'shortmul' has the same priority as the normal multiplication )
-*/
-	class MatOperator
-	{
-	public:
-
-		enum Type
-		{
-			none,add,sub,mul,div,pow,lt,gt,let,get,eq,neq,lor,land,shortmul
-		};
-
-		enum Assoc
-		{
-			right,		// right-associative
-			non_right	// associative or left-associative
-		};
-
-		Type  GetType()     const { return type; }
-		int   GetPriority() const { return priority; }
-		Assoc GetAssoc()    const { return assoc; }
-
-		void SetType(Type t)
-		{
-			type  = t;
-			assoc = non_right;
-
-			switch( type )
-			{		
-			case lor:
-				priority = 4;
-				break;
-
-			case land:
-				priority = 5;
-				break;
-
-			case eq:
-			case neq:
-			case lt:
-			case gt:
-			case let:
-			case get:
-				priority = 7;
-				break;
-
-			case add:
-			case sub:
-				priority = 10;
-				break;
-
-			case mul:
-			case shortmul:
-			case div:
-				priority = 12;
-				break;
-
-			case pow:
-				priority = 14;
-				assoc    = right;
-				break;
-
-			default:
-				Error( err_internal_error );
-				break;
-			}
-		}
-
-		MatOperator(): type(none), priority(0), assoc(non_right)
-		{
-		}
-
-	private:
-
-		Type  type;
-		int   priority;
-		Assoc assoc;
-	}; // end of MatOperator class
-
-
-
-public:
-
-
-
-	/*!
-		Objects of type 'Item' we are keeping on our stack
-	*/
-	struct Item
-	{
-		enum Type
-		{
-			none, numerical_value, mat_operator, first_bracket,
-			last_bracket, variable, semicolon
-		};
-
-		// The kind of type which we're keeping
-		Type type;
-
-		// if type == numerical_value
-		ValueType value;
-
-		// if type == mat_operator
-		MatOperator moperator;
-
-		/*
-			if type == first_bracket
-
-			if 'function' is set to true it means that the first recognized bracket
-			was the bracket from function in other words we must call a function when
-			we'll find the 'last' bracket
-		*/
-		bool function;
-
-		// if function is true
-		std::string function_name;
-
-		/*
-			the sign of value
-
-			it can be for type==numerical_value or type==first_bracket
-			when it's true it means e.g. that value is equal -value
-		*/
-		bool sign;
-
-		Item(): type(none), function(false), sign(false)
-		{
-		}
-
-	}; // end of Item struct
-
-
-/*!
-	stack on which we're keeping the Items
-
-	at the end of parsing we'll have the result here
-	the result don't have to be one value, it can be
-	more than one if we have used a semicolon in the global space
-	e.g. such input string "1+2;3+4" will generate a result:
-	 stack[0].value=3
-	 stack[1].value=7
-
-	you should check if the stack is not empty, because if there was
-	a syntax error in the input string then we do not have any results
-	on the stack 
-*/
-std::vector<Item> stack;
-
-
-private:
-
-
-/*!
-	size of the stack when we're starting parsing of the string
-
-	if it's to small while parsing the stack will be automatically resized
-*/
-const int default_stack_size;
-
-
-
-/*!
-	index of an object in our stack
-	it's pointing on the place behind the last element
-	for example at the beginning of parsing its value is zero
-*/
-unsigned int stack_index;
-
-
-/*!
-	code of the last error
-*/
-ErrorCode error;
-
-
-/*!
-	pointer to the currently reading char
-	when an error has occured it may be used to count the index of the wrong character
-*/
-const char * pstring;
-
-
-/*!
-	the base (radix) of the mathematic system (for example it may be '10')
-*/
-int base;
-
-
-/*!
-	the unit of angles used in: sin,cos,tan,cot,asin,acos,atan,acot
-	0 - deg
-	1 - rad (default)
-	2 - grad
-*/
-int deg_rad_grad;
-
-
-
-/*!
-	a pointer to an object which tell us whether we should stop calculating or not
-*/
-const volatile StopCalculating * pstop_calculating;
-
-
-
-/*!
-	a pointer to the user-defined variables' table
-*/
-const Objects * puser_variables;
-
-/*!
-	a pointer to the user-defined functions' table
-*/
-const Objects * puser_functions;
-
-
-typedef std::map<std::string, ValueType> FunctionLocalVariables;
-
-/*!
-	a pointer to the local variables of a function
-*/
-const FunctionLocalVariables * pfunction_local_variables;
-
-
-/*!
-	a temporary set using during parsing user defined variables
-*/
-std::set<std::string> visited_variables;
-
-
-/*!
-	a temporary set using during parsing user defined functions
-*/
-std::set<std::string> visited_functions;
-
-
-
-
-/*!
-	pfunction is the type of pointer to a mathematic function
-
-	these mathematic functions are private members of this class,
-	they are the wrappers for standard mathematics function
-
-	'pstack' is the pointer to the first argument on our stack
-	'amount_of_arg' tell us how many argument there are in our stack
-	'result' is the reference for result of function 
-*/
-typedef void (Parser<ValueType>::*pfunction)(int pstack, int amount_of_arg, ValueType & result);
-
-
-/*!
-	pfunction is the type of pointer to a method which returns value of variable
-*/
-typedef void (ValueType::*pfunction_var)();
-
-
-/*!
-	table of mathematic functions
-
-	this map consists of:
-		std::string - function's name
-		pfunction - pointer to specific function
-*/
-typedef std::map<std::string, pfunction> FunctionsTable;
-FunctionsTable functions_table;
-
-
-/*!
-	table of mathematic operators
-
-	this map consists of:
-		std::string - operators's name
-		MatOperator::Type - type of the operator
-*/
-typedef std::map<std::string, typename MatOperator::Type> OperatorsTable;
-OperatorsTable operators_table;
-
-
-/*!
-	table of mathematic variables
-
-	this map consists of:
-		std::string     - variable's name
-		pfunction_var - pointer to specific function which returns value of variable
-*/
-typedef std::map<std::string, pfunction_var> VariablesTable;
-VariablesTable variables_table;
-
-
-/*!
-	some coefficients used when calculating the gamma (or factorial) function
-*/
-CGamma<ValueType> cgamma;
-
-
-/*!
-	temporary object for a whole string when Parse(std::wstring) is used
-*/
-std::string wide_to_ansi;
-
-
-/*!
-	group character (used when parsing)
-	default zero (not used)
-*/
-int group;
-
-
-/*!
-	characters used as a comma
-	default: '.' and ','
-	comma2 can be zero (it means it is not used)
-*/
-int comma, comma2;
-
-
-/*!
-	an additional character used as a separator between function parameters
-	(semicolon is used always)
-*/
-int param_sep;
-
-
-/*!
-	true if something was calculated (at least one mathematical operator was used or a function or a variable)
-*/
-bool calculated;
-
-
-
-/*!
-	we're using this method for reporting an error
-*/
-static void Error(ErrorCode code)
-{
-	throw code;
-}
-
-
-/*!
-	this method skips the white character from the string
-
-	it's moving the 'pstring' to the first no-white character
-*/
-void SkipWhiteCharacters()
-{
-	while( (*pstring==' ' ) || (*pstring=='\t') )
-		++pstring;
-}
-
-
-/*!
-	an auxiliary method for RecurrenceParsingVariablesOrFunction(...)
-*/
-void RecurrenceParsingVariablesOrFunction_CheckStopCondition(bool variable, const std::string & name)
-{
-	if( variable )
-	{
-		if( visited_variables.find(name) != visited_variables.end() )
-			Error( err_variable_loop );
-	}
-	else
-	{
-		if( visited_functions.find(name) != visited_functions.end() )
-			Error( err_functions_loop );
-	}
-}
-
-
-/*!
-	an auxiliary method for RecurrenceParsingVariablesOrFunction(...)
-*/
-void RecurrenceParsingVariablesOrFunction_AddName(bool variable, const std::string & name)
-{
-	if( variable )
-		visited_variables.insert( name );
-	else
-		visited_functions.insert( name );
-}
-
-
-/*!
-	an auxiliary method for RecurrenceParsingVariablesOrFunction(...)
-*/
-void RecurrenceParsingVariablesOrFunction_DeleteName(bool variable, const std::string & name)
-{
-	if( variable )
-		visited_variables.erase( name );
-	else
-		visited_functions.erase( name );
-}
-
-
-/*!
-	this method returns the value of a variable or function
-	by creating a new instance of the mathematical parser 
-	and making the standard parsing algorithm on the given string
-
-	this method is used only during parsing user defined variables or functions
-
-	(there can be a recurrence here therefore we're using 'visited_variables'
-	and 'visited_functions' sets to make a stop condition)
-*/
-ValueType RecurrenceParsingVariablesOrFunction(bool variable, const std::string & name, const char * new_string,
-											   FunctionLocalVariables * local_variables = 0)
-{
-	RecurrenceParsingVariablesOrFunction_CheckStopCondition(variable, name);
-	RecurrenceParsingVariablesOrFunction_AddName(variable, name);
-
-	Parser<ValueType> NewParser(*this);
-	ErrorCode err;
-
-	NewParser.pfunction_local_variables = local_variables;
-
-	try
-	{
-		err = NewParser.Parse(new_string);
-	}
-	catch(...)
-	{
-		RecurrenceParsingVariablesOrFunction_DeleteName(variable, name);
-
-	throw;
-	}
-
-	RecurrenceParsingVariablesOrFunction_DeleteName(variable, name);
-
-	if( err != err_ok )
-		Error( err );
-
-	if( NewParser.stack.size() != 1 )
-		Error( err_must_be_only_one_value );
-
-	if( NewParser.stack[0].type != Item::numerical_value )
-		// I think there shouldn't be this error here
-		Error( err_incorrect_value );
-
-return NewParser.stack[0].value;
-}
-
-
-public:
-
-
-/*!
-	this method returns the user-defined value of a variable
-*/
-bool GetValueOfUserDefinedVariable(const std::string & variable_name,ValueType & result)
-{
-	if( !puser_variables )
-		return false;
-
-	const char * string_value;
-
-	if( puser_variables->GetValue(variable_name, &string_value) != err_ok )
-		return false;
-
-	result = RecurrenceParsingVariablesOrFunction(true, variable_name, string_value);
-	calculated = true;
-
-return true;
-}
-
-
-/*!
-	this method returns the value of a local variable of a function
-*/
-bool GetValueOfFunctionLocalVariable(const std::string & variable_name, ValueType & result)
-{
-	if( !pfunction_local_variables )
-		return false;
-
-	typename FunctionLocalVariables::const_iterator i = pfunction_local_variables->find(variable_name);
-
-	if( i == pfunction_local_variables->end() )
-		return false;
-
-	result = i->second;
-
-return true;
-}
-
-
-/*!
-	this method returns the value of a variable from variables' table
-
-	we make an object of type ValueType then call a method which 
-	sets the correct value in it and finally we'll return the object
-*/
-ValueType GetValueOfVariable(const std::string & variable_name)
-{
-ValueType result;
-
-	if( GetValueOfFunctionLocalVariable(variable_name, result) )
-		return result;
-
-	if( GetValueOfUserDefinedVariable(variable_name, result) )
-		return result;
-
-
-	typename std::map<std::string, pfunction_var>::iterator i =
-													variables_table.find(variable_name);
-
-	if( i == variables_table.end() )
-		Error( err_unknown_variable );
-
-	(result.*(i->second))();
-	calculated = true;
-
-return result;
-}
-
-
-private:
-
-/*!
-	wrappers for mathematic functions
-
-	'sindex' is pointing on the first argument on our stack 
-			 (the second argument has 'sindex+2'
-			 because 'sindex+1' is guaranted for the 'semicolon' operator)
-			 the third artument has of course 'sindex+4' etc.
-
-	'result' will be the result of the function
-
-	(we're using exceptions here for example when function gets an improper argument)
-*/
-
-
-/*!
-	used by: sin,cos,tan,cot
-*/
-ValueType ConvertAngleToRad(const ValueType & input)
-{
-	if( deg_rad_grad == 1 ) // rad
-		return input;
-
-	ValueType result;
-	ErrorCode err;
-
-	if( deg_rad_grad == 0 ) // deg
-		result = ttmath::DegToRad(input, &err);
-	else // grad
-		result = ttmath::GradToRad(input, &err);
-
-	if( err != err_ok )
-		Error( err );
-
-return result;
-}
-
-
-/*!
-	used by: asin,acos,atan,acot
-*/
-ValueType ConvertRadToAngle(const ValueType & input)
-{
-	if( deg_rad_grad == 1 ) // rad
-		return input;
-
-	ValueType result;
-	ErrorCode err;
-
-	if( deg_rad_grad == 0 ) // deg
-		result = ttmath::RadToDeg(input, &err);
-	else // grad
-		result = ttmath::RadToGrad(input, &err);
-
-	if( err != err_ok )
-		Error( err );
-
-return result;
-}
-
-
-void Gamma(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	
-	result = ttmath::Gamma(stack[sindex].value, cgamma, &err, pstop_calculating);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-
-/*!
-	factorial
-	result = 1 * 2 * 3 * 4 * .... * x
-*/
-void Factorial(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-
-	result = ttmath::Factorial(stack[sindex].value, cgamma, &err, pstop_calculating);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-
-void Abs(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = ttmath::Abs(stack[sindex].value);
-}
-
-void Sin(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Sin( ConvertAngleToRad(stack[sindex].value), &err );
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Cos(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Cos( ConvertAngleToRad(stack[sindex].value), &err );
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Tan(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Tan(ConvertAngleToRad(stack[sindex].value), &err);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Cot(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Cot(ConvertAngleToRad(stack[sindex].value), &err);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Int(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = ttmath::SkipFraction(stack[sindex].value);
-}
-
-
-void Round(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = stack[sindex].value;
-
-	if( result.Round() )
-		Error( err_overflow );
-}
-
-
-void Ln(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Ln(stack[sindex].value, &err);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Log(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Log(stack[sindex].value, stack[sindex+2].value, &err);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-void Exp(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Exp(stack[sindex].value, &err);
-
-	if(err != err_ok)
-		Error( err );
-}
-
-
-void Max(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args == 0 )
-	{
-		result.SetMax();
-
-	return;
-	}
-
-	result = stack[sindex].value;
-
-	for(int i=1 ; i<amount_of_args ; ++i)
-	{
-		if( result < stack[sindex + i*2].value )
-			result = stack[sindex + i*2].value;
-	}
-}
-
-
-void Min(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args == 0 )
-	{
-		result.SetMin();
-
-	return;
-	}
-
-	result = stack[sindex].value;
-
-	for(int i=1 ; i<amount_of_args ; ++i)
-	{
-		if( result > stack[sindex + i*2].value )
-			result = stack[sindex + i*2].value;
-	}
-}
-
-
-void ASin(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	ValueType temp = ttmath::ASin(stack[sindex].value, &err);
-
-	if(err != err_ok)
-		Error( err );
-
-	result = ConvertRadToAngle(temp);
-}
-
-
-void ACos(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	ValueType temp = ttmath::ACos(stack[sindex].value, &err);
-
-	if(err != err_ok)
-		Error( err );
-
-	result = ConvertRadToAngle(temp);
-}
-
-
-void ATan(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = ConvertRadToAngle(ttmath::ATan(stack[sindex].value));
-}
-
-
-void ACot(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = ConvertRadToAngle(ttmath::ACot(stack[sindex].value));
-}
-
-
-void Sgn(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = ttmath::Sgn(stack[sindex].value);
-}
-
-
-void Mod(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	if( stack[sindex+2].value.IsZero() )
-		Error( err_improper_argument );
-
-	result = stack[sindex].value;
-	uint c = result.Mod(stack[sindex+2].value);
-
-	if( c )
-		Error( err_overflow );
-}
-
-
-void If(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 3 )
-		Error( err_improper_amount_of_arguments );
-
-
-	if( !stack[sindex].value.IsZero() )
-		result = stack[sindex+2].value;
-	else
-		result = stack[sindex+4].value;
-}
-
-
-void Or(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args < 2 )
-		Error( err_improper_amount_of_arguments );
-
-	for(int i=0 ; i<amount_of_args ; ++i)
-	{
-		if( !stack[sindex+i*2].value.IsZero() )
-		{
-			result.SetOne();
-			return;
-		}
-	}
-
-	result.SetZero();
-}
-
-
-void And(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args < 2 )
-		Error( err_improper_amount_of_arguments );
-
-	for(int i=0 ; i<amount_of_args ; ++i)
-	{
-		if( stack[sindex+i*2].value.IsZero() )
-		{
-			result.SetZero();
-			return;
-		}
-	}
-
-	result.SetOne();
-}
-
-
-void Not(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-
-	if( stack[sindex].value.IsZero() )
-		result.SetOne();
-	else
-		result.SetZero();
-}
-
-
-void DegToRad(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err = err_ok;
-
-	if( amount_of_args == 1 )
-	{
-		result = ttmath::DegToRad(stack[sindex].value, &err);
-	}
-	else
-	if( amount_of_args == 3 )
-	{
-		result = ttmath::DegToRad(	stack[sindex].value, stack[sindex+2].value,
-									stack[sindex+4].value, &err);
-	}
-	else
-		Error( err_improper_amount_of_arguments );
-
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void RadToDeg(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err;
-
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-	
-	result = ttmath::RadToDeg(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void DegToDeg(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 3 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::DegToDeg(	stack[sindex].value, stack[sindex+2].value,
-								stack[sindex+4].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void GradToRad(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err;
-
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-	
-	result = ttmath::GradToRad(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void RadToGrad(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err;
-
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-	
-	result = ttmath::RadToGrad(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void DegToGrad(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err = err_ok;
-
-	if( amount_of_args == 1 )
-	{
-		result = ttmath::DegToGrad(stack[sindex].value, &err);
-	}
-	else
-	if( amount_of_args == 3 )
-	{
-		result = ttmath::DegToGrad(	stack[sindex].value, stack[sindex+2].value,
-									stack[sindex+4].value, &err);
-	}
-	else
-		Error( err_improper_amount_of_arguments );
-
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void GradToDeg(int sindex, int amount_of_args, ValueType & result)
-{
-	ErrorCode err;
-
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-	
-	result = ttmath::GradToDeg(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Ceil(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Ceil(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Floor(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Floor(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-void Sqrt(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Sqrt(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Sinh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Sinh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Cosh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Cosh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Tanh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Tanh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Coth(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Coth(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void Root(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::Root(stack[sindex].value, stack[sindex+2].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-
-void ASinh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::ASinh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void ACosh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::ACosh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void ATanh(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::ATanh(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void ACoth(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	ErrorCode err;
-	result = ttmath::ACoth(stack[sindex].value, &err);
-
-	if( err != err_ok )
-		Error( err );
-}
-
-
-void BitAnd(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	uint err;
-	result = stack[sindex].value;
-	err = result.BitAnd(stack[sindex+2].value);
-
-	switch(err)
-	{
-	case 1:
-		Error( err_overflow );
-		break;
-	case 2:
-		Error( err_improper_argument );
-		break;
-	}
-}
-
-void BitOr(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	uint err;
-	result = stack[sindex].value;
-	err = result.BitOr(stack[sindex+2].value);
-
-	switch(err)
-	{
-	case 1:
-		Error( err_overflow );
-		break;
-	case 2:
-		Error( err_improper_argument );
-		break;
-	}
-}
-
-
-void BitXor(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 2 )
-		Error( err_improper_amount_of_arguments );
-
-	uint err;
-	result = stack[sindex].value;
-	err = result.BitXor(stack[sindex+2].value);
-
-	switch(err)
-	{
-	case 1:
-		Error( err_overflow );
-		break;
-	case 2:
-		Error( err_improper_argument );
-		break;
-	}
-}
-
-
-void Sum(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args == 0 )
-		Error( err_improper_amount_of_arguments );
-
-	result = stack[sindex].value;
-
-	for(int i=1 ; i<amount_of_args ; ++i )
-		if( result.Add( stack[ sindex + i*2 ].value ) )
-			Error( err_overflow );
-}	
-
-void Avg(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args == 0 )
-		Error( err_improper_amount_of_arguments );
-
-	result = stack[sindex].value;
-
-	for(int i=1 ; i<amount_of_args ; ++i )
-		if( result.Add( stack[ sindex + i*2 ].value ) )
-			Error( err_overflow );
-
-	if( result.Div( amount_of_args ) )
-		Error( err_overflow );
-}	
-
-
-void Frac(int sindex, int amount_of_args, ValueType & result)
-{
-	if( amount_of_args != 1 )
-		Error( err_improper_amount_of_arguments );
-
-	result = stack[sindex].value;
-	result.RemainFraction();
-}
-
-
-
-
-/*!
-	we use such a method because 'wvsprintf' is not everywhere defined
-*/
-void Sprintf(char * buffer, int par)
-{
-char buf[30]; // char, not wchar_t
-int i;
-
-	#ifdef _MSC_VER
-	#pragma warning( disable: 4996 )
-	//warning C4996: 'sprintf': This function or variable may be unsafe.
-	#endif
-
-	sprintf(buf, "%d", par);
-	for(i=0 ; buf[i] != 0 ; ++i)
-		buffer[i] = buf[i];
-
-	buffer[i] = 0;
-
-	#ifdef _MSC_VER
-	#pragma warning( default: 4996 )
-	#endif
-}
-
-
-
-
-/*!
-	this method returns the value from a user-defined function
-
-	(look at the description in 'CallFunction(...)')
-*/
-bool GetValueOfUserDefinedFunction(const std::string & function_name, int amount_of_args, int sindex)
-{
-	if( !puser_functions )
-		return false;
-
-	const char * string_value;
-	int param;
-
-	if( puser_functions->GetValueAndParam(function_name, &string_value, &param) != err_ok )
-		return false;
-
-	if( param != amount_of_args )
-		Error( err_improper_amount_of_arguments );
-
-
-	FunctionLocalVariables local_variables;
-
-	if( amount_of_args > 0 )
-	{
-		char buffer[30];
-
-		// x = x1
-		buffer[0] = 'x';
-		buffer[1] = 0;
-		local_variables.insert( std::make_pair(buffer, stack[sindex].value) );
-
-		for(int i=0 ; i<amount_of_args ; ++i)
-		{
-			buffer[0] = 'x';
-			Sprintf(buffer+1, i+1);
-			local_variables.insert( std::make_pair(buffer, stack[sindex + i*2].value) );
-		}
-	}
-
-	stack[sindex-1].value = RecurrenceParsingVariablesOrFunction(false, function_name, string_value, &local_variables);
-	calculated = true;
-
-return true;
-}
-
-
-/*
-	we're calling a specific function
-
-	function_name  - name of the function
-	amount_of_args - how many arguments there are on our stack
-					 (function must check whether this is a correct value or not)
-	sindex         - index of the first argument on the stack (sindex is greater than zero)
-  					 if there aren't any arguments on the stack 'sindex' pointing on
-					 a non existend element (after the first bracket)
-
-	result will be stored in 'stack[sindex-1].value'
-	(we don't have to set the correct type of this element, it'll be set later)
-*/
-void CallFunction(const std::string & function_name, int amount_of_args, int sindex)
-{
-	if( GetValueOfUserDefinedFunction(function_name, amount_of_args, sindex) )
-		return;
-
-	typename FunctionsTable::iterator i = functions_table.find( function_name );
-
-	if( i == functions_table.end() )
-		Error( err_unknown_function );
-
-	/*
-		calling the specify function
-	*/
-	(this->*(i->second))(sindex, amount_of_args, stack[sindex-1].value);
-	calculated = true;
-}
-
-
-
-
-
-/*!
-	inserting a function to the functions' table
-
-	function_name - name of the function
-	pf - pointer to the function (to the wrapper)
-*/
-void InsertFunctionToTable(const char * function_name, pfunction pf)
-{
-	std::string str;
-	Misc::AssignString(str, function_name);
-
-	functions_table.insert( std::make_pair(str, pf) );
-}
-
-
-
-/*!
-	inserting a function to the variables' table
-	(this function returns value of variable)
-
-	variable_name - name of the function
-	pf - pointer to the function
-*/
-void InsertVariableToTable(const char * variable_name, pfunction_var pf)
-{
-	std::string str;
-	Misc::AssignString(str, variable_name);
-
-	variables_table.insert( std::make_pair(str, pf) );
-}
-
-
-/*!
-	this method creates the table of functions
-*/
-void CreateFunctionsTable()
-{
-	InsertFunctionToTable("gamma",		&Parser<ValueType>::Gamma);
-	InsertFunctionToTable("factorial",	&Parser<ValueType>::Factorial);
-	InsertFunctionToTable("abs",   		&Parser<ValueType>::Abs);
-	InsertFunctionToTable("sin",   		&Parser<ValueType>::Sin);
-	InsertFunctionToTable("cos",   		&Parser<ValueType>::Cos);
-	InsertFunctionToTable("tan",   		&Parser<ValueType>::Tan);
-	InsertFunctionToTable("tg",			&Parser<ValueType>::Tan);
-	InsertFunctionToTable("cot",  		&Parser<ValueType>::Cot);
-	InsertFunctionToTable("ctg",  		&Parser<ValueType>::Cot);
-	InsertFunctionToTable("int",	   	&Parser<ValueType>::Int);
-	InsertFunctionToTable("round",	 	&Parser<ValueType>::Round);
-	InsertFunctionToTable("ln",			&Parser<ValueType>::Ln);
-	InsertFunctionToTable("log",	   	&Parser<ValueType>::Log);
-	InsertFunctionToTable("exp",	   	&Parser<ValueType>::Exp);
-	InsertFunctionToTable("max",	   	&Parser<ValueType>::Max);
-	InsertFunctionToTable("min",	   	&Parser<ValueType>::Min);
-	InsertFunctionToTable("asin",   	&Parser<ValueType>::ASin);
-	InsertFunctionToTable("acos",   	&Parser<ValueType>::ACos);
-	InsertFunctionToTable("atan",   	&Parser<ValueType>::ATan);
-	InsertFunctionToTable("atg",	   	&Parser<ValueType>::ATan);
-	InsertFunctionToTable("acot",   	&Parser<ValueType>::ACot);
-	InsertFunctionToTable("actg",   	&Parser<ValueType>::ACot);
-	InsertFunctionToTable("sgn",   		&Parser<ValueType>::Sgn);
-	InsertFunctionToTable("mod",   		&Parser<ValueType>::Mod);
-	InsertFunctionToTable("if",   		&Parser<ValueType>::If);
-	InsertFunctionToTable("or",   		&Parser<ValueType>::Or);
-	InsertFunctionToTable("and",  		&Parser<ValueType>::And);
-	InsertFunctionToTable("not",  		&Parser<ValueType>::Not);
-	InsertFunctionToTable("degtorad",	&Parser<ValueType>::DegToRad);
-	InsertFunctionToTable("radtodeg",	&Parser<ValueType>::RadToDeg);
-	InsertFunctionToTable("degtodeg",	&Parser<ValueType>::DegToDeg);
-	InsertFunctionToTable("gradtorad",	&Parser<ValueType>::GradToRad);
-	InsertFunctionToTable("radtograd",	&Parser<ValueType>::RadToGrad);
-	InsertFunctionToTable("degtograd",	&Parser<ValueType>::DegToGrad);
-	InsertFunctionToTable("gradtodeg",	&Parser<ValueType>::GradToDeg);
-	InsertFunctionToTable("ceil",		&Parser<ValueType>::Ceil);
-	InsertFunctionToTable("floor",		&Parser<ValueType>::Floor);
-	InsertFunctionToTable("sqrt",		&Parser<ValueType>::Sqrt);
-	InsertFunctionToTable("sinh",		&Parser<ValueType>::Sinh);
-	InsertFunctionToTable("cosh",		&Parser<ValueType>::Cosh);
-	InsertFunctionToTable("tanh",		&Parser<ValueType>::Tanh);
-	InsertFunctionToTable("tgh",		&Parser<ValueType>::Tanh);
-	InsertFunctionToTable("coth",		&Parser<ValueType>::Coth);
-	InsertFunctionToTable("ctgh",		&Parser<ValueType>::Coth);
-	InsertFunctionToTable("root",		&Parser<ValueType>::Root);
-	InsertFunctionToTable("asinh",		&Parser<ValueType>::ASinh);
-	InsertFunctionToTable("acosh",		&Parser<ValueType>::ACosh);
-	InsertFunctionToTable("atanh",		&Parser<ValueType>::ATanh);
-	InsertFunctionToTable("atgh",		&Parser<ValueType>::ATanh);
-	InsertFunctionToTable("acoth",		&Parser<ValueType>::ACoth);
-	InsertFunctionToTable("actgh",		&Parser<ValueType>::ACoth);
-	InsertFunctionToTable("bitand",		&Parser<ValueType>::BitAnd);
-	InsertFunctionToTable("bitor",		&Parser<ValueType>::BitOr);
-	InsertFunctionToTable("bitxor",		&Parser<ValueType>::BitXor);
-	InsertFunctionToTable("band",		&Parser<ValueType>::BitAnd);
-	InsertFunctionToTable("bor",		&Parser<ValueType>::BitOr);
-	InsertFunctionToTable("bxor",		&Parser<ValueType>::BitXor);
-	InsertFunctionToTable("sum",		&Parser<ValueType>::Sum);
-	InsertFunctionToTable("avg",		&Parser<ValueType>::Avg);
-	InsertFunctionToTable("frac",		&Parser<ValueType>::Frac);
-}
-
-
-/*!
-	this method creates the table of variables
-*/
-void CreateVariablesTable()
-{
-	InsertVariableToTable("pi", &ValueType::SetPi);
-	InsertVariableToTable("e",  &ValueType::SetE);
-}
-
-
-/*!
-	converting from a big letter to a small one
-*/
-int ToLowerCase(int c)
-{
-	if( c>='A' && c<='Z' )
-		return c - 'A' + 'a';
-
-return c;
-}
-
-
-/*!
-	this method read the name of a variable or a function
-	
-		'result' will be the name of a variable or a function
-		function return 'false' if this name is the name of a variable
-		or function return 'true' if this name is the name of a function
-
-	what should be returned is tested just by a '(' character that means if there's
-	a '(' character after a name that function returns 'true'
-*/
-bool ReadName(std::string & result)
-{
-int character;
-
-
-	result.erase();
-	character = *pstring;
-
-	/*
-		the first letter must be from range 'a' - 'z' or 'A' - 'Z'
-	*/
-	if( ! (( character>='a' && character<='z' ) || ( character>='A' && character<='Z' )) )
-		Error( err_unknown_character );
-
-
-	do
-	{
-		result   += static_cast<char>( character );
-		character = * ++pstring;
-	}
-	while(	(character>='a' && character<='z') ||
-			(character>='A' && character<='Z') ||
-			(character>='0' && character<='9') ||
-			character=='_' );
-	
-
-	SkipWhiteCharacters();
-	
-
-	/*
-		if there's a character '(' that means this name is a name of a function
-	*/
-	if( *pstring == '(' )
-	{
-		++pstring;
-		return true;
-	}
-	
-	
-return false;
-}
-
-
-/*!
-	we're checking whether the first character is '-' or '+'
-	if it is we'll return 'true' and if it is equally '-' we'll set the 'sign' member of 'result'
-*/
-bool TestSign(Item & result)
-{
-	SkipWhiteCharacters();
-	result.sign = false;
-
-	if( *pstring == '-' || *pstring == '+' )
-	{
-		if( *pstring == '-' )
-			result.sign = true;
-
-		++pstring;
-
-	return true;
-	}
-
-return false;
-}
-
-
-/*!
-	we're reading the name of a variable or a function
-	if is there a function we'll return 'true'
-*/
-bool ReadVariableOrFunction(Item & result)
-{
-std::string name;
-bool is_it_name_of_function = ReadName(name);
-
-	if( is_it_name_of_function )
-	{
-		/*
-			we've read the name of a function
-		*/
-		result.function_name = name;
-		result.type     = Item::first_bracket;
-		result.function = true;
-	}
-	else
-	{
-		/*
-			we've read the name of a variable and we're getting its value now
-		*/
-		result.value = GetValueOfVariable( name );
-	}
-
-return is_it_name_of_function;
-}
-
-
-
-
-/*!
-	we're reading a numerical value directly from the string
-*/
-void ReadValue(Item & result, int reading_base)
-{
-const char * new_stack_pointer;
-bool value_read;
-Conv conv;
-
-	conv.base   = reading_base;
-	conv.comma  = comma;
-	conv.comma2 = comma2;
-	conv.group  = group;
-
-	uint carry = result.value.FromString(pstring, conv, &new_stack_pointer, &value_read);
-	pstring    = new_stack_pointer;
-
-	if( carry )
-		Error( err_overflow );
-
-	if( !value_read )
-		Error( err_unknown_character );
-}
-
-
-/*!
-	this method returns true if 'character' is a proper first digit for the value (or a comma -- can be first too)
-*/
-bool ValueStarts(int character, int character_base)
-{
-	if( character == comma )
-		return true;
-
-	if( comma2!=0 && character==comma2 )
-		return true;
-
-	if( Misc::CharToDigit(character, character_base) != -1 )
-		return true;
-
-return false;
-}
-
-
-/*!
-	we're reading the item
-  
-	return values:
-		0 - all ok, the item is successfully read
-		1 - the end of the string (the item is not read)
-		2 - the final bracket ')'
-*/
-int ReadValueVariableOrFunction(Item & result)
-{
-bool it_was_sign = false;
-int  character;
-
-
-	if( TestSign(result) )
-		// 'result.sign' was set as well
-		it_was_sign = true;
-
-	SkipWhiteCharacters();
-	character = ToLowerCase( *pstring );
-
-
-	if( character == 0 )
-	{
-		if( it_was_sign )
-			// at the end of the string a character like '-' or '+' has left
-			Error( err_unexpected_end );
-
-		// there's the end of the string here
-		return 1;
-	}
-	else
-	if( character == '(' )
-	{
-		// we've got a normal bracket (not a function)
-		result.type = Item::first_bracket;
-		result.function = false;
-		++pstring;
-
-	return 0;
-	}
-	else
-	if( character == ')' )
-	{
-		// we've got a final bracket
-		// (in this place we can find a final bracket only when there are empty brackets
-		// without any values inside or with a sign '-' or '+' inside)
-
-		if( it_was_sign )
-			Error( err_unexpected_final_bracket );
-
-		result.type = Item::last_bracket;
-
-		// we don't increment 'pstring', this final bracket will be read next by the 
-		// 'ReadOperatorAndCheckFinalBracket(...)' method
-
-	return 2;
-	}
-	else
-	if( character == '#' )
-	{
-		++pstring;
-		SkipWhiteCharacters();
-
-		// after '#' character we do not allow '-' or '+' (can be white characters)
-		if(	ValueStarts(*pstring, 16) )
-			ReadValue( result, 16 );
-		else
-			Error( err_unknown_character );
-	}
-	else
-	if( character == '&' )
-	{
-		++pstring;
-		SkipWhiteCharacters();
-
-		// after '&' character we do not allow '-' or '+' (can be white characters)
-		if(	ValueStarts(*pstring, 2) )
-			ReadValue( result, 2 );
-		else
-			Error( err_unknown_character );
-	}
-	else
-	if(	ValueStarts(character, base) )
-	{
-		ReadValue( result, base );
-	}
-	else
-	if( character>='a' && character<='z' )
-	{
-		if( ReadVariableOrFunction(result) )
-			// we've read the name of a function
-			return 0;
-	}
-	else
-		Error( err_unknown_character );
-
-
-
-	/*
-		we've got a value in the 'result'
-		this value is from a variable or directly from the string
-	*/
-	result.type = Item::numerical_value;
-	
-	if( result.sign )
-	{
-		result.value.ChangeSign();
-		result.sign = false;
-	}
-	
-
-return 0;
-}
-
-
-void InsertOperatorToTable(const char * name, typename MatOperator::Type type)
-{
-	operators_table.insert( std::make_pair(std::string(name), type) );
-}
-
-
-/*!
-	this method creates the table of operators
-*/
-void CreateMathematicalOperatorsTable()
-{
-	InsertOperatorToTable("||", MatOperator::lor);
-	InsertOperatorToTable("&&", MatOperator::land);
-	InsertOperatorToTable("!=", MatOperator::neq);
-	InsertOperatorToTable("==", MatOperator::eq);
-	InsertOperatorToTable(">=", MatOperator::get);
-	InsertOperatorToTable("<=", MatOperator::let);
-	InsertOperatorToTable(">",  MatOperator::gt);
-	InsertOperatorToTable("<",  MatOperator::lt);
-	InsertOperatorToTable("-",  MatOperator::sub);
-	InsertOperatorToTable("+",  MatOperator::add);
-	InsertOperatorToTable("/",  MatOperator::div);
-	InsertOperatorToTable("*",  MatOperator::mul);
-	InsertOperatorToTable("^",  MatOperator::pow);
-}
-
-
-/*!
-	returns true if 'str2' is the substring of str1
-
-	e.g.
-	true when str1="test" and str2="te"
-*/
-bool IsSubstring(const std::string & str1, const std::string & str2)
-{
-	if( str2.length() > str1.length() )
-		return false;
-
-	for(typename std::string::size_type i=0 ; i<str2.length() ; ++i)
-		if( str1[i] != str2[i] )
-			return false;
-
-return true;
-}
-
-
-/*!
-	this method reads a mathematical (or logical) operator
-*/
-void ReadMathematicalOperator(Item & result)
-{
-std::string oper;
-typename OperatorsTable::iterator iter_old, iter_new;
-
-	iter_old = operators_table.end();
-
-	for( ; true ; ++pstring )
-	{
-		oper += *pstring;
-		iter_new = operators_table.lower_bound(oper);
-		
-		if( iter_new == operators_table.end() || !IsSubstring(iter_new->first, oper) )
-		{
-			oper.erase(oper.begin() + oper.size() - 1); // we've got mininum one element
-
-			if( iter_old != operators_table.end() && iter_old->first == oper )
-			{
-				result.type = Item::mat_operator;
-				result.moperator.SetType( iter_old->second );
-				break;
-			}
-			
-			Error( err_unknown_operator );
-		}
-	
-		iter_old = iter_new;
-	}
-}
-
-
-/*!
-	this method makes a calculation for the percentage operator
-	e.g.
-	1000-50% = 1000-(1000*0,5) = 500
-*/
-void OperatorPercentage()
-{
-	if( stack_index < 3										||
-		stack[stack_index-1].type != Item::numerical_value	||
-		stack[stack_index-2].type != Item::mat_operator		||
-		stack[stack_index-3].type != Item::numerical_value	)
-		Error(err_percent_from);
-
-	++pstring;
-	SkipWhiteCharacters();
-
-	uint c = 0;
-	c += stack[stack_index-1].value.Div(100);
-	c += stack[stack_index-1].value.Mul(stack[stack_index-3].value);
-
-	if( c )
-		Error(err_overflow);
-}
-
-
-/*!
-	this method reads a mathematic operators
-	or the final bracket or the semicolon operator
-
-	return values:
-		0 - ok
-		1 - the string is finished
-*/
-int ReadOperator(Item & result)
-{
-	SkipWhiteCharacters();
-
-	if( *pstring == '%' )
-		OperatorPercentage();
-
-
-	if( *pstring == 0 )
-		return 1;
-	else
-	if( *pstring == ')' )
-	{
-		result.type = Item::last_bracket;
-		++pstring;
-	}
-	else
-	if( *pstring == ';' || (param_sep!=0 && *pstring==param_sep) )
-	{
-		result.type = Item::semicolon;
-		++pstring;
-	}
-	else
-	if( (*pstring>='a' && *pstring<='z') || (*pstring>='A' && *pstring<='Z') )
-	{
-		// short mul (without any operators)
-
-		result.type = Item::mat_operator;
-		result.moperator.SetType( MatOperator::shortmul );
-	}
-	else
-		ReadMathematicalOperator(result);
-
-return 0;
-}
-
-
-
-/*!
-	this method is making the standard mathematic operation like '-' '+' '*' '/' and '^'
-
-	the operation is made between 'value1' and 'value2'
-	the result of this operation is stored in the 'value1'
-*/
-void MakeStandardMathematicOperation(ValueType & value1, typename MatOperator::Type mat_operator,
-									const ValueType & value2)
-{
-uint res;
-
-	calculated = true;
-
-	switch( mat_operator )
-	{
-	case MatOperator::land:
-		(!value1.IsZero() && !value2.IsZero()) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::lor:
-		(!value1.IsZero() || !value2.IsZero()) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::eq:
-		(value1 == value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::neq:
-		(value1 != value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::lt:
-		(value1 < value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::gt:
-		(value1 > value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::let:
-		(value1 <= value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::get:
-		(value1 >= value2) ? value1.SetOne() : value1.SetZero();
-		break;
-
-	case MatOperator::sub:
-		if( value1.Sub(value2) ) Error( err_overflow );
-		break;
-
-	case MatOperator::add:
-		if( value1.Add(value2) ) Error( err_overflow );
-		break;
-
-	case MatOperator::mul:
-	case MatOperator::shortmul:
-		if( value1.Mul(value2) ) Error( err_overflow );
-		break;
-
-	case MatOperator::div:
-		if( value2.IsZero() )    Error( err_division_by_zero );
-		if( value1.Div(value2) ) Error( err_overflow );
-		break;
-
-	case MatOperator::pow:
-		res = value1.Pow( value2 );
-
-		if( res == 1 ) Error( err_overflow );
-		else
-		if( res == 2 ) Error( err_improper_argument );
-
-		break;
-
-	default:
-		/*
-			on the stack left an unknown operator but we had to recognize its before
-			that means there's an error in our algorithm
-		*/
-		Error( err_internal_error );
-	}
-}
-
-
-
-
-/*!
-	this method is trying to roll the stack up with the operator's priority
-
-	for example if there are:
-		"1 - 2 +" 
-	we can subtract "1-2" and the result store on the place where is '1' and copy the last
-	operator '+', that means there'll be '-1+' on our stack
-
-	but if there are:
-		"1 - 2 *"
-	we can't roll the stack up because the operator '*' has greater priority than '-'
-*/
-void TryRollingUpStackWithOperatorPriority()
-{
-	while(	stack_index>=4 &&
-			stack[stack_index-4].type == Item::numerical_value &&
-			stack[stack_index-3].type == Item::mat_operator    &&
-			stack[stack_index-2].type == Item::numerical_value &&
-			stack[stack_index-1].type == Item::mat_operator    &&
-			(
-				(
-					// the first operator has greater priority
-					stack[stack_index-3].moperator.GetPriority() > stack[stack_index-1].moperator.GetPriority()
-				) ||
-				(
-					// or both operators have the same priority and the first operator is not right associative
-					stack[stack_index-3].moperator.GetPriority() == stack[stack_index-1].moperator.GetPriority() &&
-					stack[stack_index-3].moperator.GetAssoc()    == MatOperator::non_right
-				)
-			)
-		 )
-	{
-		MakeStandardMathematicOperation(stack[stack_index-4].value,
-										stack[stack_index-3].moperator.GetType(),
-										stack[stack_index-2].value);
-
-
-		/*
-			copying the last operator and setting the stack pointer to the correct value
-		*/
-		stack[stack_index-3] = stack[stack_index-1];
-		stack_index -= 2;
-	}
-}
-
-
-/*!
-	this method is trying to roll the stack up without testing any operators
-
-	for example if there are:
-		"1 - 2" 
-	there'll be "-1" on our stack
-*/
-void TryRollingUpStack()
-{
-	while(	stack_index >= 3 &&
-			stack[stack_index-3].type == Item::numerical_value &&
-			stack[stack_index-2].type == Item::mat_operator &&
-			stack[stack_index-1].type == Item::numerical_value )
-	{
-		MakeStandardMathematicOperation(	stack[stack_index-3].value,
-											stack[stack_index-2].moperator.GetType(),
-											stack[stack_index-1].value );
-
-		stack_index -= 2;
-	}
-}
-
-
-/*!
-	this method is reading a value or a variable or a function
-	(the normal first bracket as well) and push it into the stack
-*/
-int ReadValueVariableOrFunctionAndPushItIntoStack(Item & temp)
-{
-int code = ReadValueVariableOrFunction( temp );
-	
-	if( code == 0 )
-	{
-		if( stack_index < stack.size() )
-			stack[stack_index] = temp;
-		else
-			stack.push_back( temp );
-
-		++stack_index;
-	}
-
-	if( code == 2 )
-		// there was a final bracket, we didn't push it into the stack 
-		// (it'll be read by the 'ReadOperatorAndCheckFinalBracket' method next)
-		code = 0;
-
-
-return code;
-}
-
-
-
-/*!
-	this method calculate how many parameters there are on the stack
-	and the index of the first parameter
-
-	if there aren't any parameters on the stack this method returns
-	'size' equals zero and 'index' pointing after the first bracket
-	(on non-existend element)
-*/
-void HowManyParameters(int & size, int & index)
-{
-	size  = 0;
-	index = stack_index;
-
-	if( index == 0 )
-		// we haven't put a first bracket on the stack
-		Error( err_unexpected_final_bracket );
-
-
-	if( stack[index-1].type == Item::first_bracket )
-		// empty brackets
-		return;
-
-	for( --index ; index>=1 ; index-=2 )
-	{
-		if( stack[index].type != Item::numerical_value )
-		{
-			/*
-				this element must be 'numerical_value', if not that means 
-				there's an error in our algorithm
-			*/
-			Error( err_internal_error );
-		}
-
-		++size;
-
-		if( stack[index-1].type != Item::semicolon )
-			break;
-	}
-
-	if( index<1 || stack[index-1].type != Item::first_bracket )
-	{
-		/*
-			we haven't put a first bracket on the stack
-		*/
-		Error( err_unexpected_final_bracket );
-	}
-}
-
-
-/*!
-	this method is being called when the final bracket ')' is being found
-
-	this method's rolling the stack up, counting how many parameters there are
-	on the stack and if there was a function it's calling the function
-*/
-void RollingUpFinalBracket()
-{
-int amount_of_parameters;
-int index;
-
-	
-	if( stack_index<1 ||
-		(stack[stack_index-1].type != Item::numerical_value &&
-		 stack[stack_index-1].type != Item::first_bracket)
-	  )
-		Error( err_unexpected_final_bracket );
-	
-
-	TryRollingUpStack();
-	HowManyParameters(amount_of_parameters, index);
-
-	// 'index' will be greater than zero
-	// 'amount_of_parameters' can be zero
-
-
-	if( amount_of_parameters==0 && !stack[index-1].function )
-		Error( err_unexpected_final_bracket );
-
-
-	bool was_sign = stack[index-1].sign;
-
-
-	if( stack[index-1].function )
-	{
-		// the result of a function will be on 'stack[index-1]'
-		// and then at the end we'll set the correct type (numerical value) of this element
-		CallFunction(stack[index-1].function_name, amount_of_parameters, index);
-	}
-	else
-	{
-		/*
-			there was a normal bracket (not a funcion)
-		*/
-		if( amount_of_parameters != 1 )
-			Error( err_unexpected_semicolon_operator );
-
-
-		/*
-			in the place where is the bracket we put the result
-		*/
-		stack[index-1] = stack[index];
-	}
-
-
-	/*
-		if there was a '-' character before the first bracket
-		we change the sign of the expression
-	*/
-	stack[index-1].sign = false;
-
-	if( was_sign )
-		stack[index-1].value.ChangeSign();
-
-	stack[index-1].type = Item::numerical_value;
-
-
-	/*
-		the pointer of the stack will be pointing on the next (non-existing now) element
-	*/
-	stack_index = index;
-}
-
-
-/*!
-	this method is putting the operator on the stack
-*/
-
-void PushOperatorIntoStack(Item & temp)
-{
-	if( stack_index < stack.size() )
-		stack[stack_index] = temp;
-	else
-		stack.push_back( temp );
-
-	++stack_index;
-}
-
-
-
-/*!
-	this method is reading a operator and if it's a final bracket
-	it's calling RollingUpFinalBracket() and reading a operator again
-*/
-int ReadOperatorAndCheckFinalBracket(Item & temp)
-{
-	do
-	{
-		if( ReadOperator(temp) == 1 )
-		{
-			/*
-				the string is finished
-			*/
-		return 1;
-		}
-
-		if( temp.type == Item::last_bracket )
-			RollingUpFinalBracket();
-
-	}
-	while( temp.type == Item::last_bracket );
-
-return 0;
-}
-
-
-/*!
-	we check wheter there are only numerical value's or 'semicolon' operators on the stack
-*/
-void CheckIntegrityOfStack()
-{
-	for(unsigned int i=0 ; i<stack_index; ++i)
-	{
-		if( stack[i].type != Item::numerical_value &&
-			stack[i].type != Item::semicolon)
-		{
-			/*
-				on the stack we must only have 'numerical_value' or 'semicolon' operator
-				if there is something another that means
-				we probably didn't close any of the 'first' bracket
-			*/
-			Error( err_stack_not_clear );
-		}
-	}
-}
-
-
-
-/*!
-	the main loop of parsing
-*/
-void Parse()
-{
-Item item;	
-int result_code;
-
-
-	while( true )
-	{
-		if( pstop_calculating && pstop_calculating->WasStopSignal() )
-			Error( err_interrupt );
-
-		result_code = ReadValueVariableOrFunctionAndPushItIntoStack( item );
-
-		if( result_code == 0 )
-		{
-			if( item.type == Item::first_bracket )
-				continue;
-			
-			result_code = ReadOperatorAndCheckFinalBracket( item );
-		}
-	
-		
-		if( result_code==1 || item.type==Item::semicolon )
-		{
-			/*
-				the string is finished or the 'semicolon' operator has appeared
-			*/
-
-			if( stack_index == 0 )
-				Error( err_nothing_has_read );
-			
-			TryRollingUpStack();
-
-			if( result_code == 1 )
-			{
-				CheckIntegrityOfStack();
-
-			return;
-			}
-		}			
-	
-
-		PushOperatorIntoStack( item );
-		TryRollingUpStackWithOperatorPriority();
-	}
-}
-
-/*!
-	this method is called at the end of the parsing process
-
-	on our stack we can have another value than 'numerical_values' for example
-	when someone use the operator ';' in the global scope or there was an error during
-	parsing and the parser hasn't finished its job
-
-	if there was an error the stack is cleaned up now
-	otherwise we resize stack and leave on it only 'numerical_value' items
-*/
-void NormalizeStack()
-{
-	if( error!=err_ok || stack_index==0 )
-	{
-		stack.clear();
-		return;
-	}
-	
-	
-	/*
-		'stack_index' tell us how many elements there are on the stack,
-		we must resize the stack now because 'stack_index' is using only for parsing
-		and stack has more (or equal) elements than value of 'stack_index'
-	*/
-	stack.resize( stack_index );
-
-	for(uint i=stack_index-1 ; i!=uint(-1) ; --i)
-	{
-		if( stack[i].type != Item::numerical_value )
-			stack.erase( stack.begin() + i );
-	}
-}
-
-
-public:
-
-
-/*!
-	the default constructor
-*/
-Parser(): default_stack_size(100)
-{
-	pstop_calculating = 0;
-	puser_variables   = 0;
-	puser_functions   = 0;
-	pfunction_local_variables = 0;
-	base              = 10;
-	deg_rad_grad      = 1;
-	error             = err_ok;
-	group             = 0;
-	comma             = '.';
-	comma2            = ',';
-	param_sep         = 0;
-
-	CreateFunctionsTable();
-	CreateVariablesTable();
-	CreateMathematicalOperatorsTable();
-}
-
-
-/*!
-	the assignment operator
-*/
-Parser<ValueType> & operator=(const Parser<ValueType> & p)
-{
-	pstop_calculating = p.pstop_calculating;
-	puser_variables   = p.puser_variables;
-	puser_functions   = p.puser_functions;
-	pfunction_local_variables = 0;
-	base              = p.base;
-	deg_rad_grad      = p.deg_rad_grad;
-	error             = p.error;
-	group             = p.group;
-	comma             = p.comma;
-	comma2            = p.comma2;
-	param_sep         = p.param_sep;
-
-	/*
-		we don't have to call 'CreateFunctionsTable()' etc.
-		we can only copy these tables
-	*/
-	functions_table   = p.functions_table;
-	variables_table   = p.variables_table;
-	operators_table   = p.operators_table;
-
-	visited_variables = p.visited_variables;
-	visited_functions = p.visited_functions;
-
-return *this;
-}
-
-
-/*!
-	the copying constructor
-*/
-Parser(const Parser<ValueType> & p): default_stack_size(p.default_stack_size)
-{
-	operator=(p);
-}
-
-
-/*!
-	the new base of mathematic system
-	default is 10
-*/
-void SetBase(int b)
-{
-	if( b>=2 && b<=16 )
-		base = b;
-}
-
-
-/*!
-	the unit of angles used in: sin,cos,tan,cot,asin,acos,atan,acot
-	0 - deg
-	1 - rad (default)
-	2 - grad
-*/
-void SetDegRadGrad(int angle)
-{
-	if( angle >= 0 && angle <= 2 )
-		deg_rad_grad = angle;
-}
-
-/*!
-	this method sets a pointer to the object which tell us whether we should stop
-	calculations
-*/
-void SetStopObject(const volatile StopCalculating * ps)
-{
-	pstop_calculating = ps;
-}
-
-
-/*!
-	this method sets the new table of user-defined variables
-	if you don't want any other variables just put zero value into the 'puser_variables' variable
-
-	(you can have only one table at the same time)
-*/
-void SetVariables(const Objects * pv)
-{
-	puser_variables = pv;
-}
-
-
-/*!
-	this method sets the new table of user-defined functions
-	if you don't want any other functions just put zero value into the 'puser_functions' variable
-
-	(you can have only one table at the same time)
-*/
-void SetFunctions(const Objects * pf)
-{
-	puser_functions = pf;
-}
-
-
-/*!
-	setting the group character
-	default zero (not used)
-*/
-void SetGroup(int g)
-{
-	group = g;
-}
-
-
-/*!
-	setting the main comma operator and the additional comma operator
-	the additional operator can be zero (which means it is not used)
-	default are: '.' and ','
-*/
-void SetComma(int c, int c2 = 0)
-{
-	comma  = c;
-	comma2 = c2;
-}
-
-
-/*!
-	setting an additional character which is used as a parameters separator
-	the main parameters separator is a semicolon (is used always)
-
-	this character is used also as a global separator
-*/
-void SetParamSep(int s)
-{
-	param_sep = s;
-}
-
-
-/*!
-	the main method using for parsing string
-*/
-ErrorCode Parse(const char * str)
-{
-	stack_index  = 0;
-	pstring      = str;
-	error        = err_ok;
-	calculated   = false;
-
-	stack.resize( default_stack_size );
-
-	try
-	{
-		Parse();
-	}
-	catch(ErrorCode c)
-	{
-		error = c;
-		calculated = false;
-	}
-
-	NormalizeStack();
-
-return error;
-}
-
-
-/*!
-	the main method using for parsing string
-*/
-ErrorCode Parse(const std::string & str)
-{
-	return Parse(str.c_str());
-}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-/*!
-	the main method using for parsing string
-*/
-ErrorCode Parse(const wchar_t * str)
-{
-	Misc::AssignString(wide_to_ansi, str);
-
-return Parse(wide_to_ansi.c_str());
-
-	// !! wide_to_ansi clearing can be added here
-}
-
-
-/*!
-	the main method using for parsing string
-*/
-ErrorCode Parse(const std::wstring & str)
-{
-	return Parse(str.c_str());
-}
-
-#endif
-
-
-/*!
-	this method returns true is something was calculated
-	(at least one mathematical operator was used or a function or variable)
-	e.g. true if the string to Parse() looked like this:
-	"1+1"
-	"2*3"
-	"sin(5)"
-
-	if the string was e.g. "678" the result is false
-*/
-bool Calculated()
-{
-	return calculated;
-}
-
-
-/*!
-	initializing coefficients used when calculating the gamma (or factorial) function
-	this speed up the next calculations
-	you don't have to call this method explicitly
-	these coefficients will be calculated when needed
-*/
-void InitCGamma()
-{
-	cgamma.InitAll();
-}
-
-
-};
-
-
-
-} // namespace
-
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmaththreads.h b/include/geos/algorithm/ttmath/ttmaththreads.h
deleted file mode 100644
index 57c3650..0000000
--- a/include/geos/algorithm/ttmath/ttmaththreads.h
+++ /dev/null
@@ -1,252 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2009, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-
-#ifndef headerfilettmaththreads
-#define headerfilettmaththreads
-
-#include "ttmathtypes.h"
-
-#ifdef TTMATH_WIN32_THREADS
-#include <windows.h>
-#include <cstdio>
-#endif
-
-#ifdef TTMATH_POSIX_THREADS
-#include <pthread.h>
-#endif
-
-
-
-/*!
-	\file ttmaththreads.h
-    \brief Some objects used in multithreads environment
-*/
-
-
-namespace ttmath
-{
-
-
-#ifdef TTMATH_WIN32_THREADS
-
-	/*
-		we use win32 threads
-	*/
-
-
-	/*!
-		in multithreads environment you should use TTMATH_MULTITHREADS_HELPER macro
-		somewhere in *.cpp file
-
-		(at the moment in win32 this macro does nothing)
-	*/
-	#define TTMATH_MULTITHREADS_HELPER
-
-
-	/*!
-		objects of this class are used to synchronize
-	*/
-	class ThreadLock
-	{
-		HANDLE mutex_handle;
-
-
-		void CreateName(char * buffer) const
-		{
-			#ifdef _MSC_VER
-			#pragma warning (disable : 4996)
-			// warning C4996: 'sprintf': This function or variable may be unsafe. Consider using sprintf_s instead.
-			#endif
-
-			sprintf(buffer, "TTMATH_LOCK_%ul", (unsigned long)GetCurrentProcessId());
-
-			#ifdef _MSC_VER
-			#pragma warning (default : 4996)
-			#endif
-		}
-
-
-	public:
-
-		bool Lock()
-		{
-		char buffer[50];
-
-			CreateName(buffer);
-			mutex_handle = CreateMutexA(0, false, buffer);
-
-			if( mutex_handle == 0 )
-				return false;
-
-			WaitForSingleObject(mutex_handle, INFINITE);
-
-		return true;
-		}
-
-
-		ThreadLock()
-		{
-			mutex_handle = 0;
-		}
-
-
-		~ThreadLock()
-		{
-			if( mutex_handle != 0 )
-			{
-				ReleaseMutex(mutex_handle);
-				CloseHandle(mutex_handle);
-			}
-		}
-	};
-
-#endif  // #ifdef TTMATH_WIN32_THREADS
-
-
-
-
-
-#ifdef TTMATH_POSIX_THREADS
-
-	/*
-		we use posix threads
-	*/
-
-
-	/*!
-		in multithreads environment you should use TTMATH_MULTITHREADS_HELPER macro
-		somewhere in *.cpp file
-		(this macro defines a pthread_mutex_t object used by TTMath library)
-	*/
-	#define TTMATH_MULTITHREADS_HELPER                          \
-	namespace ttmath                                            \
-	{                                                           \
-	pthread_mutex_t ttmath_mutex = PTHREAD_MUTEX_INITIALIZER;   \
-	}
-
-
-	/*!
-		ttmath_mutex will be defined by TTMATH_MULTITHREADS_HELPER macro 
-	*/
-	extern pthread_mutex_t ttmath_mutex;
-
-
-	/*!
-		\brief objects of this class are used to synchronize
-
-		this is a simple skeleton of a program in multithreads environment:
-
-			#define TTMATH_MULTITHREADS
-			#include<ttmath/ttmath.h>
-
-			TTMATH_MULTITHREADS_HELPER
-
-			int main()
-			{
-			[...]
-			}
-
-		make sure that macro TTMATH_MULTITHREADS is defined and (somewhere in *.cpp file)
-		use TTMATH_MULTITHREADS_HELPER macro (outside of any classes/functions/namespaces scope)
-	*/
-	class ThreadLock
-	{
-	public:
-
-		/*!
- 	 		lock the current thread
-
- 	 		it uses a global mutex created by TTMATH_MULTITHREADS_HELPER macro
-		*/
-		bool Lock()
-		{
-			if( pthread_mutex_lock(&ttmath_mutex) != 0 )
-				return false;
-
-		return true;
-		}
-
-
-		~ThreadLock()
-		{
-			pthread_mutex_unlock(&ttmath_mutex);
-		}
-	};
-
-#endif // #ifdef TTMATH_POSIX_THREADS
-
-
-
-
-#if !defined(TTMATH_POSIX_THREADS) && !defined(TTMATH_WIN32_THREADS)
-
-	/*!
-		we don't use win32 and pthreads
-	*/
-
-	/*!
-	*/
-	#define TTMATH_MULTITHREADS_HELPER
-
-
-	/*!
-		objects of this class are used to synchronize
-		actually we don't synchronize, the method Lock() returns always 'false'
-	*/
-	class ThreadLock
-	{
-	public:
-
-		bool Lock()
-		{
-			return false;
-		}
-	};
-
-
-#endif // #if !defined(TTMATH_POSIX_THREADS) && !defined(TTMATH_WIN32_THREADS)
-
-
-
-
-
-} // namespace
-
-#endif
-
diff --git a/include/geos/algorithm/ttmath/ttmathtypes.h b/include/geos/algorithm/ttmath/ttmathtypes.h
deleted file mode 100644
index 5c4e0b7..0000000
--- a/include/geos/algorithm/ttmath/ttmathtypes.h
+++ /dev/null
@@ -1,718 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/*
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-#ifndef headerfilettmathtypes
-#define headerfilettmathtypes
-
-/*!
-	\file ttmathtypes.h
-    \brief constants used in the library
-
-    As our library is written in header files (templates) we cannot use
-	constants like 'const int' etc. because we should have some source files
-	*.cpp to define this variables. Only what we can have are constants
-	defined by \#define preprocessor macros.
-
-	All macros are preceded by TTMATH_ prefix
-*/
-
-
-#include <stdexcept>
-#include <sstream>
-#include <vector>
-
-#ifndef _MSC_VER
-#include <stdint.h>
-// for uint64_t and int64_t on a 32 bit platform
-#endif
-
-
-
-/*!
-	the major version of the library
-
-	the version present to the end user is constructed in this way:
-
-		TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
-*/
-#define TTMATH_MAJOR_VER		0
-
-/*!
-	the minor version of the library
-
-	the version present to the end user is constructed in this way:
-
-		TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
-*/
-#define TTMATH_MINOR_VER		9
-
-/*!
-	the revision version of the library
-
-	the version present to the end user is constructed in this way:
-
-		TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
-*/
-#define TTMATH_REVISION_VER		4
-
-/*!
-	TTMATH_PRERELEASE_VER is either zero or one
-	zero means that this is the release version of the library
-	(one means something like beta)
-
-	the version present to the end user is constructed in this way:
-
-		TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
-*/
-#define TTMATH_PRERELEASE_VER	1
-
-
-
-/*!
-	you can define a platform explicitly by defining either
-	TTMATH_PLATFORM32 or TTMATH_PLATFORM64 macro
-*/
-#if !defined TTMATH_PLATFORM32 && !defined TTMATH_PLATFORM64
-
-	#if !defined _M_X64 && !defined __x86_64__
-
-		/*
-			other platforms than x86 and amd64 are not recognized at the moment
-			so you should set TTMATH_PLATFORMxx manually
-		*/
-
-		// we're using a 32bit platform
-		#define TTMATH_PLATFORM32
-
-	#else
-
-		//	we're using a 64bit platform
-		#define TTMATH_PLATFORM64
-
-	#endif
-
-#endif
-
-
-/*!
-	asm version of the library is available by default only for:
-	x86 and amd64 platforms and for Microsoft Visual and GCC compilers
-
-	but you can force using asm version (the same asm as for Microsoft Visual)
-	by defining TTMATH_FORCEASM macro
-	you have to be sure that your compiler accept such an asm format
-*/
-#ifndef TTMATH_FORCEASM
-
-	#if !defined __i386__  && !defined _X86_ && !defined  _M_IX86 && !defined __x86_64__  && !defined _M_X64
-		/*!
-			x86 architecture:
-			__i386__    defined by GNU C
-			_X86_  	    defined by MinGW32
-			_M_IX86     defined by Visual Studio, Intel C/C++, Digital Mars and Watcom C/C++
-
-			amd64 architecture:
-			__x86_64__  defined by GNU C, CLANG (LLVM) and Sun Studio
-			_M_X64  	defined by Visual Studio
-
-			asm version is available only for x86 or amd64 platforms
-		*/
-		#define TTMATH_NOASM
-	#endif
-
-
-
-	#if !defined _MSC_VER && !defined __GNUC__
-		/*!
-			another compilers than MS VC or GCC or CLANG (LLVM) by default use no asm version
-			(CLANG defines __GNUC__ too)
-		*/
-		#define TTMATH_NOASM
-	#endif
-
-    /* 32-bit gcc < 5 doesn't like to build the ASM with PIC enabled as */
-    /* we do for GEOS */
-    #if defined __GNUC__ && __GNUC__ < 5 && !defined __x86_64__  && !defined _M_X64
-        #define TTMATH_NOASM
-    #endif
-
-#endif
-
-
-namespace ttmath
-{
-
-
-#ifdef TTMATH_PLATFORM32
-
-	/*!
-		on 32bit platforms one word (uint, sint) will be equal 32bits
-	*/
-	typedef unsigned int uint;
-	typedef signed   int sint;
-
-	/*!
-		on 32 bit platform ulint and slint will be equal 64 bits
-	*/
-	#ifdef _MSC_VER
-		// long long on MS Windows (Visual and GCC mingw compilers) have 64 bits
-		// stdint.h is not available on Visual Studio prior to VS 2010 version
-		typedef unsigned long long int ulint;
-		typedef signed   long long int slint;
-	#else
-		// we do not use 'long' here because there is a difference in unix and windows
-		// environments: in unix 'long' has 64 bits but in windows it has only 32 bits
-		typedef uint64_t ulint;
-		typedef int64_t  slint;
-	#endif
-
-	/*!
-		how many bits there are in the uint type
-	*/
-	#define TTMATH_BITS_PER_UINT 32u
-
-	/*!
-		the mask for the highest bit in the unsigned 32bit word (2^31)
-	*/
-	#define TTMATH_UINT_HIGHEST_BIT 2147483648u
-
-	/*!
-		the max value of the unsigned 32bit word (2^32 - 1)
-		(all bits equal one)
-	*/
-	#define TTMATH_UINT_MAX_VALUE 4294967295u
-
-	/*!
-		the number of words (32bit words on 32bit platform)
-		which are kept in built-in variables for a Big<> type
-		(these variables are defined in ttmathbig.h)
-	*/
-	#define TTMATH_BUILTIN_VARIABLES_SIZE 256u
-
-	/*!
-		this macro returns the number of machine words
-		capable to hold min_bits bits
-		e.g. TTMATH_BITS(128) returns 4
-	*/
-	#define TTMATH_BITS(min_bits) ((min_bits-1)/32 + 1)
-
-#else
-
-	#ifdef _MSC_VER
-		/* in VC 'long' type has 32 bits, __int64 is VC extension */
-		typedef unsigned __int64 uint;
-		typedef signed   __int64 sint;
-	#else
-        #ifdef __MINGW64__
-            //Mingw64 64-bit patch from https://www.ttmath.org/forum/patch_for_building_64_bit_using_windows_mingw64_gcc
-            typedef uint64_t uint;
-            typedef int64_t sint;
-        #else
-            /*!
-            on 64bit platforms one word (uint, sint) will be equal 64bits
-            */
-            typedef unsigned long uint;
-            /*!
-                on 64bit platforms one word (uint, sint) will be equal 64bits
-            */
-            typedef signed long sint;
-        #endif
-
-	#endif
-
-	/*!
-		on 64bit platforms we do not define ulint and slint
-	*/
-
-	/*!
-		how many bits there are in the uint type
-	*/
-	#define TTMATH_BITS_PER_UINT 64ul
-
-	/*!
-		the mask for the highest bit in the unsigned 64bit word (2^63)
-	*/
-	#define TTMATH_UINT_HIGHEST_BIT 9223372036854775808ul
-
-	/*!
-		the max value of the unsigned 64bit word (2^64 - 1)
-		(all bits equal one)
-	*/
-	#define TTMATH_UINT_MAX_VALUE 18446744073709551615ul
-
-	/*!
-		the number of words (64bit words on 64bit platforms)
-		which are kept in built-in variables for a Big<> type
-		(these variables are defined in ttmathbig.h)
-	*/
-	#define TTMATH_BUILTIN_VARIABLES_SIZE 128ul
-
-	/*!
-		this macro returns the number of machine words
-		capable to hold min_bits bits
-		e.g. TTMATH_BITS(128) returns 2
-	*/
-	#define TTMATH_BITS(min_bits) ((min_bits-1)/64 + 1)
-
-#endif
-}
-
-
-#if defined(TTMATH_MULTITHREADS) && !defined(TTMATH_MULTITHREADS_NOSYNC)
-	#if !defined(TTMATH_POSIX_THREADS) && !defined(TTMATH_WIN32_THREADS)
-
-		#if defined(_WIN32)
-			#define TTMATH_WIN32_THREADS
-		#elif defined(unix) || defined(__unix__) || defined(__unix)
-			#define TTMATH_POSIX_THREADS
-		#endif
-
-	#endif
-#endif
-
-
-
-/*!
-	this variable defines how many iterations are performed
-	during some kind of calculating when we're making any long formulas
-	(for example Taylor series)
-
-	it's used in ExpSurrounding0(...), LnSurrounding1(...), Sin0pi05(...), etc.
-
-	note! there'll not be so many iterations, iterations are stopped when
-	there is no sense to continue calculating (for example when the result
-	still remains unchanged after adding next series and we know that the next
-	series are smaller than previous ones)
-*/
-#define TTMATH_ARITHMETIC_MAX_LOOP 10000
-
-
-
-/*!
-	this is a limit when calculating Karatsuba multiplication
-	if the size of a vector is smaller than TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE
-	the Karatsuba algorithm will use standard schoolbook multiplication
-*/
-#ifdef TTMATH_DEBUG_LOG
-	// if TTMATH_DEBUG_LOG is defined then we should use the same size regardless of the compiler
-	#define TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE 3
-#else
-	#ifdef __GNUC__
-		#define TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE 3
-	#else
-		#define TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE 5
-	#endif
-#endif
-
-
-/*!
-	this is a special value used when calculating the Gamma(x) function
-	if x is greater than this value then the Gamma(x) will be calculated using
-	some kind of series
-
-	don't use smaller values than about 100
-*/
-#define TTMATH_GAMMA_BOUNDARY 2000
-
-
-
-
-
-namespace ttmath
-{
-
-	/*!
-		lib type codes:
-		-  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)
-		-  asm_gcc_32  - with asm code designed for GCC (32 bits)
-		-  asm_vc_64   - with asm for VC (64 bit)
-		-  asm_gcc_64  - with asm for GCC (64 bit)
-		-  no_asm_32   - pure C++ version (32 bit) - without any asm code
-		-  no_asm_64   - pure C++ version (64 bit) - without any asm code
-	*/
-	enum LibTypeCode
-	{
-	  asm_vc_32 = 0,
-	  asm_gcc_32,
-	  asm_vc_64,
-	  asm_gcc_64,
-	  no_asm_32,
-	  no_asm_64
-	};
-
-
-	/*!
-		error codes
-	*/
-	enum ErrorCode
-	{
-		err_ok = 0,
-		err_nothing_has_read,
-		err_unknown_character,
-		err_unexpected_final_bracket,
-		err_stack_not_clear,
-		err_unknown_variable,
-		err_division_by_zero,
-		err_interrupt,
-		err_overflow,
-		err_unknown_function,
-		err_unknown_operator,
-		err_unexpected_semicolon_operator,
-		err_improper_amount_of_arguments,
-		err_improper_argument,
-		err_unexpected_end,
-		err_internal_error,
-		err_incorrect_name,
-		err_incorrect_value,
-		err_variable_exists,
-		err_variable_loop,
-		err_functions_loop,
-		err_must_be_only_one_value,
-		err_object_exists,
-		err_unknown_object,
-		err_still_calculating,
-		err_in_short_form_used_function,
-		err_percent_from
-	};
-
-
-	/*!
-		this struct is used when converting to/from a string
-		/temporarily only in Big::ToString() and Big::FromString()/
-	*/
-	struct Conv
-	{
-		/*!
-			base (radix) on which the value will be shown (or read)
-			default: 10
-		*/
-		uint base;
-
-
-		/*!
-			used only in Big::ToString()
-			if true the value will be always shown in the scientific mode, e.g: 123e+30
-			default: false
-		*/
-		bool scient;
-
-
-		/*!
-			used only in Big::ToString()
-			if scient is false then the value will be printed in the scientific mode
-			only if the exponent is greater than scien_from
-			default: 15
-		*/
-		sint scient_from;
-
-
-		/*!
-			if 'base_round' is true and 'base' is different from 2, 4, 8, or 16
-			and the result value is not an integer then we make an additional rounding
-			(after converting the last digit from the result is skipped)
-			default: true
-
-			e.g.
-
-				Conv c;
-				c.base_round = false;
-				Big<1, 1> a = "0.1";                       // decimal input
-				std::cout << a.ToString(c) << std::endl;   // the result is: 0.099999999
-		*/
-		bool base_round;
-
-
-		/*!
-			used only in Big::ToString()
-			tells how many digits after comma are possible
-			default: -1 which means all digits are printed
-
-			set it to zero if you want integer value only
-
-			for example when the value is:
-				12.345678 and 'round' is 4
-			then the result will be
-				12.3457   (the last digit was rounded)
-		*/
-		sint round;
-
-
-		/*!
-			if true that not mattered digits in the mantissa will be cut off
-			(zero characters at the end -- after the comma operator)
-			e.g. 1234,78000 will be: 1234,78
-			default: true
-		*/
-		bool trim_zeroes;
-
-
-		/*!
-			the main comma operator (used when reading and writing)
-			default is a dot '.'
-		*/
-		uint comma;
-
-
-		/*!
-			additional comma operator (used only when reading)
-			if you don't want it just set it to zero
-			default is a comma ','
-
-			this allowes you to convert from a value:
-			123.45 as well as from 123,45
-		*/
-		uint comma2;
-
-
-		/*!
-			it sets the character which is used for grouping
-			if group=' ' then: 1234,56789 will be printed as: 1 234,567 89
-
-			if you don't want grouping just set it to zero (which is default)
-		*/
-		uint group;
-
-
-		/*!
-			how many digits should be grouped (it is used if 'group' is non zero)
-			default: 3
-		*/
-		uint group_digits;
-
-
-		/*!
-		*/
-		uint group_exp; // not implemented yet
-
-
-
-
-		Conv()
-		{
-			// default values
-			base         = 10;
-			scient       = false;
-			scient_from  = 15;
-			base_round   = true;
-			round        = -1;
-			trim_zeroes  = true;
-			comma        = '.';
-			comma2       = ',';
-			group        = 0;
-			group_digits = 3;
-			group_exp    = 0;
-		}
-	};
-
-
-
-	/*!
-		this simple class can be used in multithreading model
-		(you can write your own class derived from this one)
-
-		for example: in some functions like Factorial()
-		/at the moment only Factorial/ you can give a pointer to
-		the 'stop object', if the method WasStopSignal() of this
-		object returns true that means we should break the calculating
-		and return
-	*/
-	class StopCalculating
-	{
-	public:
-		virtual bool WasStopSignal() const volatile { return false; }
-		virtual ~StopCalculating(){}
-	};
-
-
-	/*!
-		a small class which is useful when compiling with gcc
-
-		object of this type holds the name and the line of a file
-		in which the macro TTMATH_ASSERT or TTMATH_REFERENCE_ASSERT was used
-	*/
-	class ExceptionInfo
-	{
-	const char * file;
-	int line;
-
-	public:
-		ExceptionInfo() : file(0), line(0) {}
-		ExceptionInfo(const char * f, int l) : file(f), line(l) {}
-
-		std::string Where() const
-		{
-			if( !file )
-				return "unknown";
-
-			std::ostringstream result;
-			result << file << ":" << line;
-
-		return result.str();
-		}
-	};
-
-
-	/*!
-		A small class used for reporting 'reference' errors
-
-		In the library is used macro TTMATH_REFERENCE_ASSERT which
-		can throw an exception of this type
-
-		** from version 0.9.2 this macro is removed from all methods
-		   in public interface so you don't have to worry about it **
-
-		If you compile with gcc you can get a small benefit
-		from using method Where() (it returns std::string) with
-		the name and the line of a file where the macro TTMATH_REFERENCE_ASSERT
-		was used)
-	*/
-	class ReferenceError : public std::logic_error, public ExceptionInfo
-	{
-	public:
-
-		ReferenceError() : std::logic_error("reference error")
-		{
-		}
-
-		ReferenceError(const char * f, int l) :
-							std::logic_error("reference error"), ExceptionInfo(f,l)
-		{
-		}
-
-		std::string Where() const
-		{
-			return ExceptionInfo::Where();
-		}
-	};
-
-
-	/*!
-		a small class used for reporting errors
-
-		in the library is used macro TTMATH_ASSERT which
-		(if the condition in it is false) throw an exception
-		of this type
-
-		if you compile with gcc you can get a small benefit
-		from using method Where() (it returns std::string) with
-		the name and the line of a file where the macro TTMATH_ASSERT
-		was used)
-	*/
-	class RuntimeError : public std::runtime_error, public ExceptionInfo
-	{
-	public:
-
-		RuntimeError() : std::runtime_error("internal error")
-		{
-		}
-
-		RuntimeError(const char * f, int l) :
-						std::runtime_error("internal error"), ExceptionInfo(f,l)
-		{
-		}
-
-		std::string Where() const
-		{
-			return ExceptionInfo::Where();
-		}
-	};
-
-
-
-	/*!
-		TTMATH_DEBUG
-		this macro enables further testing during writing your code
-		you don't have to define it in a release mode
-
-		if this macro is set then macros TTMATH_ASSERT and TTMATH_REFERENCE_ASSERT
-		are set as well	and these macros can throw an exception if a condition in it
-		is not fulfilled (look at the definition of TTMATH_ASSERT and TTMATH_REFERENCE_ASSERT)
-
-		TTMATH_DEBUG is set automatically if DEBUG or _DEBUG are defined
-	*/
-	#if defined DEBUG || defined _DEBUG
-		#define TTMATH_DEBUG
-	#endif
-
-
-	#ifdef TTMATH_DEBUG
-
-		#if defined(__FILE__) && defined(__LINE__)
-
-			#define TTMATH_REFERENCE_ASSERT(expression) \
-				if( &(expression) == this ) throw ttmath::ReferenceError(__FILE__, __LINE__);
-
-			#define TTMATH_ASSERT(expression) \
-				if( !(expression) ) throw ttmath::RuntimeError(__FILE__, __LINE__);
-
-		#else
-
-			#define TTMATH_REFERENCE_ASSERT(expression) \
-				if( &(expression) == this ) throw ReferenceError();
-
-			#define TTMATH_ASSERT(expression) \
-				if( !(expression) ) throw RuntimeError();
-		#endif
-
-	#else
-		#define TTMATH_REFERENCE_ASSERT(expression)
-		#define TTMATH_ASSERT(expression)
-	#endif
-
-
-
-	#ifdef TTMATH_DEBUG_LOG
-		#define TTMATH_LOG(msg)                             PrintLog(msg, std::cout);
-		#define TTMATH_LOGC(msg, carry)                     PrintLog(msg, carry, std::cout);
-		#define TTMATH_VECTOR_LOG(msg, vector, len)         PrintVectorLog(msg, std::cout, vector, len);
-		#define TTMATH_VECTOR_LOGC(msg, carry, vector, len) PrintVectorLog(msg, carry, std::cout, vector, len);
-	#else
-		#define TTMATH_LOG(msg)
-		#define TTMATH_LOGC(msg, carry)
-		#define TTMATH_VECTOR_LOG(msg, vector, len)
-		#define TTMATH_VECTOR_LOGC(msg, carry, vector, len)
-	#endif
-
-
-
-
-} // namespace
-
-
-#endif
-
diff --git a/include/geos/algorithm/ttmath/ttmathuint.h b/include/geos/algorithm/ttmath/ttmathuint.h
deleted file mode 100644
index 9b64745..0000000
--- a/include/geos/algorithm/ttmath/ttmathuint.h
+++ /dev/null
@@ -1,4189 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2017, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-
-#ifndef headerfilettmathuint
-#define headerfilettmathuint
-
-
-/*!
-	\file ttmathuint.h
-    \brief template class UInt<uint>
-*/
-
-#include <iostream>
-#include <iomanip>
-
-
-#include "ttmathtypes.h"
-#include "ttmathmisc.h"
-
-
-
-/*!
-    \brief a namespace for the TTMath library
-*/
-namespace ttmath
-{
-
-/*! 
-	\brief UInt implements a big integer value without a sign
-
-	value_size - how many bytes specify our value
-	-  on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
-	-  on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
-	value_size = 1,2,3,4,5,6....
-*/
-template<uint value_size>
-class UInt
-{
-public:
-
-	/*!
-		buffer for the integer value
-		  table[0] - the lowest word of the value
-	*/
-	uint table[value_size];
-
-
-
-	/*!
-		some methods used for debugging purposes
-	*/
-
-
-	/*!
-		this method is only for debugging purposes or when we want to make
-		a table of a variable (constant) in ttmathbig.h
-
-		it prints the table in a nice form of several columns
-	*/
-	template<class ostream_type>
-	void PrintTable(ostream_type & output) const
-	{
-		// how many columns there'll be
-		const int columns = 8;
-
-		int c = 1;
-		for(int i=value_size-1 ; i>=0 ; --i)
-		{
-			output << "0x" << std::setfill('0');
-			
-			#ifdef TTMATH_PLATFORM32
-				output << std::setw(8);
-			#else
-				output << std::setw(16);
-			#endif
-				
-			output << std::hex << table[i];
-			
-			if( i>0 )
-			{
-				output << ", ";		
-			
-				if( ++c > columns )
-				{
-					output << std::endl;
-					c = 1;
-				}
-			}
-		}
-		
-		output << std::dec << std::endl;
-	}
-
-
-	/*!
-		this method is used when macro TTMATH_DEBUG_LOG is defined
-	*/
-	template<class char_type, class ostream_type>
-	static void PrintVectorLog(const char_type * msg, ostream_type & output, const uint * vector, uint vector_len)
-	{
-		output << msg << std::endl;
-
-		for(uint i=0 ; i<vector_len ; ++i)
-			output << " table[" << i << "]: " << vector[i] << std::endl;
-	}
-
-
-	/*!
-		this method is used when macro TTMATH_DEBUG_LOG is defined
-	*/
-	template<class char_type, class ostream_type>
-	static void PrintVectorLog(const char_type * msg, uint carry, ostream_type & output, const uint * vector, uint vector_len)
-	{
-		PrintVectorLog(msg, output, vector, vector_len);
-		output << " carry: " << carry << std::endl;
-	}
-
-
-	/*!
-		this method is used when macro TTMATH_DEBUG_LOG is defined
-	*/
-	template<class char_type, class ostream_type>
-	void PrintLog(const char_type * msg, ostream_type & output) const
-	{
-		PrintVectorLog(msg, output, table, value_size);
-	}
-
-
-	/*!
-		this method is used when macro TTMATH_DEBUG_LOG is defined
-	*/
-	template<class char_type, class ostream_type>
-	void PrintLog(const char_type * msg, uint carry, ostream_type & output) const
-	{
-		PrintVectorLog(msg, output, table, value_size);
-		output << " carry: " << carry << std::endl;
-	}
-
-
-	/*!
-		this method returns the size of the table
-	*/
-	uint Size() const
-	{
-		return value_size;
-	}
-
-
-	/*!
-		this method sets zero
-	*/
-	void SetZero()
-	{
-		// in the future here can be 'memset'
-
-		for(uint i=0 ; i<value_size ; ++i)
-			table[i] = 0;
-
-		TTMATH_LOG("UInt::SetZero")
-	}
-
-
-	/*!
-		this method sets one
-	*/
-	void SetOne()
-	{
-		SetZero();
-		table[0] = 1;
-
-		TTMATH_LOG("UInt::SetOne")
-	}
-
-
-	/*!
-		this method sets the max value which this class can hold
-		(all bits will be one)
-	*/
-	void SetMax()
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-			table[i] = TTMATH_UINT_MAX_VALUE;
-
-		TTMATH_LOG("UInt::SetMax")
-	}
-
-
-	/*!
-		this method sets the min value which this class can hold
-		(for an unsigned integer value the zero is the smallest value)
-	*/
-	void SetMin()
-	{
-		SetZero();
-
-		TTMATH_LOG("UInt::SetMin")
-	}
-
-
-	/*!
-		this method swappes this for an argument
-	*/
-	void Swap(UInt<value_size> & ss2)
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-		{
-			uint temp = table[i];
-			table[i] = ss2.table[i];
-			ss2.table[i] = temp;
-		}
-	}
-
-
-#ifdef TTMATH_PLATFORM32
-
-	/*!
-		this method copies the value stored in an another table
-		(warning: first values in temp_table are the highest words -- it's different
-		from our table)
-
-		we copy as many words as it is possible
-		
-		if temp_table_len is bigger than value_size we'll try to round 
-		the lowest word from table depending on the last not used bit in temp_table
-		(this rounding isn't a perfect rounding -- look at the description below)
-
-		and if temp_table_len is smaller than value_size we'll clear the rest words
-		in the table
-	*/
-	void SetFromTable(const uint * temp_table, uint temp_table_len)
-	{
-		uint temp_table_index = 0;
-		sint i; // 'i' with a sign
-
-		for(i=value_size-1 ; i>=0 && temp_table_index<temp_table_len; --i, ++temp_table_index)
-			table[i] = temp_table[ temp_table_index ];
-
-
-		// rounding mantissa
-		if( temp_table_index < temp_table_len )
-		{
-			if( (temp_table[temp_table_index] & TTMATH_UINT_HIGHEST_BIT) != 0 )
-			{
-				/*
-					very simply rounding
-					if the bit from not used last word from temp_table is set to one
-					we're rouding the lowest word in the table
-
-					in fact there should be a normal addition but
-					we don't use Add() or AddTwoInts() because these methods 
-					can set a carry and then there'll be a small problem
-					for optimization
-				*/
-				if( table[0] != TTMATH_UINT_MAX_VALUE )
-					++table[0];
-			}
-		}
-
-		// cleaning the rest of the mantissa
-		for( ; i>=0 ; --i)
-			table[i] = 0;
-
-
-		TTMATH_LOG("UInt::SetFromTable")
-	}
-
-#endif
-
-
-#ifdef TTMATH_PLATFORM64
-	/*!
-		this method copies the value stored in an another table
-		(warning: first values in temp_table are the highest words -- it's different
-		from our table)
-
-		***this method is created only on a 64bit platform***
-
-		we copy as many words as it is possible
-		
-		if temp_table_len is bigger than value_size we'll try to round 
-		the lowest word from table depending on the last not used bit in temp_table
-		(this rounding isn't a perfect rounding -- look at the description below)
-
-		and if temp_table_len is smaller than value_size we'll clear the rest words
-		in the table
-
-		warning: we're using 'temp_table' as a pointer at 32bit words
-	*/
-	void SetFromTable(const unsigned int * temp_table, uint temp_table_len)
-	{
-		uint temp_table_index = 0;
-		sint i; // 'i' with a sign
-
-		for(i=value_size-1 ; i>=0 && temp_table_index<temp_table_len; --i, ++temp_table_index)
-		{
-			table[i] = uint(temp_table[ temp_table_index ]) << 32;
-
-			++temp_table_index;
-
-			if( temp_table_index<temp_table_len )
-				table[i] |= temp_table[ temp_table_index ];
-		}
-
-
-		// rounding mantissa
-		if( temp_table_index < temp_table_len )
-		{
-			if( (temp_table[temp_table_index] & TTMATH_UINT_HIGHEST_BIT) != 0 )
-			{
-				/*
-					very simply rounding
-					if the bit from not used last word from temp_table is set to one
-					we're rouding the lowest word in the table
-
-					in fact there should be a normal addition but
-					we don't use Add() or AddTwoInts() because these methods 
-					can set a carry and then there'll be a small problem
-					for optimization
-				*/
-				if( table[0] != TTMATH_UINT_MAX_VALUE )
-					++table[0];
-			}
-		}
-
-		// cleaning the rest of the mantissa
-		for( ; i >= 0 ; --i)
-			table[i] = 0;
-
-		TTMATH_LOG("UInt::SetFromTable")
-	}
-
-#endif
-
-
-
-
-
-	/*!
-	*
-	*	basic mathematic functions
-	*
-	*/
-
-
-
-
-	/*!
-		this method adds one to the existing value
-	*/
-	uint AddOne()
-	{
-		return AddInt(1);
-	}
-
-
-	/*!
-		this method subtracts one from the existing value
-	*/
-	uint SubOne()
-	{
-		return SubInt(1);
-	}
-
-
-private:
-
-
-	/*!    
-		an auxiliary method for moving bits into the left hand side
-
-		this method moves only words
-	*/
-	void RclMoveAllWords(uint & rest_bits, uint & last_c, uint bits, uint c)
-	{
-		rest_bits      = bits % TTMATH_BITS_PER_UINT;
-		uint all_words = bits / TTMATH_BITS_PER_UINT;
-		uint mask      = ( c ) ? TTMATH_UINT_MAX_VALUE : 0;
-
-
-		if( all_words >= value_size )
-		{
-			if( all_words == value_size && rest_bits == 0 )
-				last_c = table[0] & 1;
-			// else: last_c is default set to 0
-
-			// clearing
-			for(uint i = 0 ; i<value_size ; ++i)
-				table[i] = mask;
-
-			rest_bits = 0;
-		}
-		else
-		if( all_words > 0 )  
-		{
-			// 0 < all_words < value_size
-	
-			sint first, second;
-			last_c = table[value_size - all_words] & 1; // all_words is greater than 0
-
-			// copying the first part of the value
-			for(first = value_size-1, second=first-all_words ; second>=0 ; --first, --second)
-				table[first] = table[second];
-
-			// setting the rest to 'c'
-			for( ; first>=0 ; --first )
-				table[first] = mask;
-		}
-
-		TTMATH_LOG("UInt::RclMoveAllWords")
-	}
-	
-public:
-
-	/*!
-		moving all bits into the left side 'bits' times
-		return value <- this <- C
-
-		bits is from a range of <0, man * TTMATH_BITS_PER_UINT>
-		or it can be even bigger then all bits will be set to 'c'
-
-		the value c will be set into the lowest bits
-		and the method returns state of the last moved bit
-	*/
-	uint Rcl(uint bits, uint c=0)
-	{
-	uint last_c    = 0;
-	uint rest_bits = bits;
-
-		if( bits == 0 )
-			return 0;
-
-		if( bits >= TTMATH_BITS_PER_UINT )
-			RclMoveAllWords(rest_bits, last_c, bits, c);
-
-		if( rest_bits == 0 )
-		{
-			TTMATH_LOG("UInt::Rcl")
-			return last_c;
-		}
-
-		// rest_bits is from 1 to TTMATH_BITS_PER_UINT-1 now
-		if( rest_bits == 1 )
-		{
-			last_c = Rcl2_one(c);
-		}
-		else if( rest_bits == 2 )
-		{
-			// performance tests showed that for rest_bits==2 it's better to use Rcl2_one twice instead of Rcl2(2,c)
-			Rcl2_one(c);
-			last_c = Rcl2_one(c);
-		}
-		else
-		{
-			last_c = Rcl2(rest_bits, c);
-		}
-
-		TTMATH_LOGC("UInt::Rcl", last_c)
-
-	return last_c;
-	}
-
-private:
-
-	/*!    
-		an auxiliary method for moving bits into the right hand side
-
-		this method moves only words
-	*/
-	void RcrMoveAllWords(uint & rest_bits, uint & last_c, uint bits, uint c)
-	{
-		rest_bits      = bits % TTMATH_BITS_PER_UINT;
-		uint all_words = bits / TTMATH_BITS_PER_UINT;
-		uint mask      = ( c ) ? TTMATH_UINT_MAX_VALUE : 0;
-
-
-		if( all_words >= value_size )
-		{
-			if( all_words == value_size && rest_bits == 0 )
-				last_c = (table[value_size-1] & TTMATH_UINT_HIGHEST_BIT) ? 1 : 0;
-			// else: last_c is default set to 0
-
-			// clearing
-			for(uint i = 0 ; i<value_size ; ++i)
-				table[i] = mask;
-
-			rest_bits = 0;
-		}
-		else if( all_words > 0 )
-		{
-			// 0 < all_words < value_size
-
-			uint first, second;
-			last_c = (table[all_words - 1] & TTMATH_UINT_HIGHEST_BIT) ? 1 : 0; // all_words is > 0
-
-			// copying the first part of the value
-			for(first=0, second=all_words ; second<value_size ; ++first, ++second)
-				table[first] = table[second];
-
-			// setting the rest to 'c'
-			for( ; first<value_size ; ++first )
-				table[first] = mask;
-		}
-
-		TTMATH_LOG("UInt::RcrMoveAllWords")
-	}
-
-public:
-
-	/*!
-		moving all bits into the right side 'bits' times
-		c -> this -> return value
-
-		bits is from a range of <0, man * TTMATH_BITS_PER_UINT>
-		or it can be even bigger then all bits will be set to 'c'
-
-		the value c will be set into the highest bits
-		and the method returns state of the last moved bit
-	*/
-	uint Rcr(uint bits, uint c=0)
-	{
-	uint last_c    = 0;
-	uint rest_bits = bits;
-	
-		if( bits == 0 )
-			return 0;
-
-		if( bits >= TTMATH_BITS_PER_UINT )
-			RcrMoveAllWords(rest_bits, last_c, bits, c);
-
-		if( rest_bits == 0 )
-		{
-			TTMATH_LOG("UInt::Rcr")
-			return last_c;
-		}
-
-		// rest_bits is from 1 to TTMATH_BITS_PER_UINT-1 now
-		if( rest_bits == 1 )
-		{
-			last_c = Rcr2_one(c);
-		}
-		else if( rest_bits == 2 )
-		{
-			// performance tests showed that for rest_bits==2 it's better to use Rcr2_one twice instead of Rcr2(2,c)
-			Rcr2_one(c);
-			last_c = Rcr2_one(c);
-		}
-		else
-		{
-			last_c = Rcr2(rest_bits, c);
-		}
-
-		TTMATH_LOGC("UInt::Rcr", last_c)
-
-	return last_c;
-	}
-
-
-	/*!
-		this method moves all bits into the left side
-		(it returns value how many bits have been moved)
-	*/
-	uint CompensationToLeft()
-	{
-		uint moving = 0;
-
-		// a - index a last word which is different from zero
-		sint a;
-		for(a=value_size-1 ; a>=0 && table[a]==0 ; --a);
-
-		if( a < 0 )
-			return moving; // all words in table have zero
-
-		if( a != value_size-1 )
-		{
-			moving += ( value_size-1 - a ) * TTMATH_BITS_PER_UINT;
-
-			// moving all words
-			sint i;
-			for(i=value_size-1 ; a>=0 ; --i, --a)
-				table[i] = table[a];
-
-			// setting the rest word to zero
-			for(; i>=0 ; --i)
-				table[i] = 0;
-		}
-
-		uint moving2 = FindLeadingBitInWord( table[value_size-1] );
-		// moving2 is different from -1 because the value table[value_size-1]
-		// is not zero
-
-		moving2 = TTMATH_BITS_PER_UINT - moving2 - 1;
-		Rcl(moving2);
-
-		TTMATH_LOG("UInt::CompensationToLeft")
-
-	return moving + moving2;
-	}
-
-
-	/*!
-		this method looks for the highest set bit
-		
-		result:
-		-  	if 'this' is not zero:
-				return value - true,
-				'table_id'   - the index of a word <0..value_size-1>,
-				'index'      - the index of this set bit in the word <0..TTMATH_BITS_PER_UINT)
-
-		-  	if 'this' is zero:
-				return value - false,
-				both 'table_id' and 'index' are zero
-	*/
-	bool FindLeadingBit(uint & table_id, uint & index) const
-	{
-		for(table_id=value_size-1 ; table_id!=0 && table[table_id]==0 ; --table_id);
-
-		if( table_id==0 && table[table_id]==0 )
-		{
-			// is zero
-			index = 0;
-
-		return false;
-		}
-		
-		// table[table_id] is different from 0
-		index = FindLeadingBitInWord( table[table_id] );
-
-	return true;
-	}
-
-
-	/*!
-		this method looks for the smallest set bit
-		
-		result:
-		-  	if 'this' is not zero:
-				return value - true,
-				'table_id'   - the index of a word <0..value_size-1>,
-				'index'      - the index of this set bit in the word <0..TTMATH_BITS_PER_UINT)
-
-		-  	if 'this' is zero:
-				return value - false,
-				both 'table_id' and 'index' are zero
-	*/
-	bool FindLowestBit(uint & table_id, uint & index) const
-	{
-		for(table_id=0 ; table_id<value_size && table[table_id]==0 ; ++table_id);
-
-		if( table_id >= value_size )
-		{
-			// is zero
-			index    = 0;
-			table_id = 0;
-
-		return false;
-		}
-		
-		// table[table_id] is different from 0
-		index = FindLowestBitInWord( table[table_id] );
-
-	return true;
-	}
-
-
-	/*!
-		getting the 'bit_index' bit
-
-		bit_index bigger or equal zero
-	*/
-	uint GetBit(uint bit_index) const
-	{
-		TTMATH_ASSERT( bit_index < value_size * TTMATH_BITS_PER_UINT )
-
-		uint index = bit_index / TTMATH_BITS_PER_UINT;
-		uint bit   = bit_index % TTMATH_BITS_PER_UINT;
-
-		uint temp = table[index];
-		uint res  = SetBitInWord(temp, bit);
-
-	return res;
-	}
-
-
-	/*!
-		setting the 'bit_index' bit
-		and returning the last state of the bit
-
-		bit_index bigger or equal zero
-	*/
-	uint SetBit(uint bit_index)
-	{
-		TTMATH_ASSERT( bit_index < value_size * TTMATH_BITS_PER_UINT )
-
-		uint index = bit_index / TTMATH_BITS_PER_UINT;
-		uint bit   = bit_index % TTMATH_BITS_PER_UINT;
-		uint res   = SetBitInWord(table[index], bit);
-
-		TTMATH_LOG("UInt::SetBit")
-
-	return res;
-	}
-
-
-	/*!
-		this method performs a bitwise operation AND 
-	*/
-	void BitAnd(const UInt<value_size> & ss2)
-	{
-		for(uint x=0 ; x<value_size ; ++x)
-			table[x] &= ss2.table[x];
-
-		TTMATH_LOG("UInt::BitAnd")
-	}
-
-
-	/*!
-		this method performs a bitwise operation OR 
-	*/
-	void BitOr(const UInt<value_size> & ss2)
-	{
-		for(uint x=0 ; x<value_size ; ++x)
-			table[x] |= ss2.table[x];
-
-		TTMATH_LOG("UInt::BitOr")
-	}
-
-
-	/*!
-		this method performs a bitwise operation XOR 
-	*/
-	void BitXor(const UInt<value_size> & ss2)
-	{
-		for(uint x=0 ; x<value_size ; ++x)
-			table[x] ^= ss2.table[x];
-
-		TTMATH_LOG("UInt::BitXor")
-	}
-
-
-	/*!
-		this method performs a bitwise operation NOT
-	*/
-	void BitNot()
-	{
-		for(uint x=0 ; x<value_size ; ++x)
-			table[x] = ~table[x];
-
-		TTMATH_LOG("UInt::BitNot")
-	}
-
-
-	/*!
-		this method performs a bitwise operation NOT but only
-		on the range of <0, leading_bit>
-
-		for example:
-			BitNot2(8) = BitNot2( 1000(bin) ) = 111(bin) = 7
-	*/
-	void BitNot2()
-	{
-	uint table_id, index;
-
-		if( FindLeadingBit(table_id, index) )
-		{
-			for(uint x=0 ; x<table_id ; ++x)
-				table[x] = ~table[x];
-
-			uint mask  = TTMATH_UINT_MAX_VALUE;
-			uint shift = TTMATH_BITS_PER_UINT - index - 1;
-
-			if(shift)
-				mask >>= shift;
-
-			table[table_id] ^= mask;
-		}
-		else
-			table[0] = 1;
-
-
-		TTMATH_LOG("UInt::BitNot2")
-	}
-
-
-
-	/*!
-	 *
-	 * Multiplication
-	 *
-	 *
-	*/
-
-public:
-
-	/*!
-		multiplication: this = this * ss2
-
-		it can return a carry
-	*/
-	uint MulInt(uint ss2)
-	{
-	uint r1, r2, x1;
-	uint c = 0;
-
-		UInt<value_size> u(*this);
-		SetZero();
-
-		if( ss2 == 0 )
-		{
-			TTMATH_LOGC("UInt::MulInt(uint)", 0)
-			return 0;
-		}
-
-		for(x1=0 ; x1<value_size-1 ; ++x1)
-		{
-			MulTwoWords(u.table[x1], ss2, &r2, &r1);
-			c += AddTwoInts(r2,r1,x1);
-		}
-
-		// x1 = value_size-1  (last word)
-		MulTwoWords(u.table[x1], ss2, &r2, &r1);
-		c += (r2!=0) ? 1 : 0;
-		c += AddInt(r1, x1);
-
-		TTMATH_LOGC("UInt::MulInt(uint)", c)
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	/*!
-		multiplication: result = this * ss2
-
-		we're using this method only when result_size is greater than value_size
-		if so there will not be a carry
-	*/
-	template<uint result_size>
-	void MulInt(uint ss2, UInt<result_size> & result) const
-	{
-	TTMATH_ASSERT( result_size > value_size )
-
-	uint r2,r1;
-	uint x1size=value_size;
-	uint x1start=0;
-
-		result.SetZero();
-
-		if( ss2 == 0 )
-		{
-			TTMATH_VECTOR_LOG("UInt::MulInt(uint, UInt<>)", result.table, result_size)
-			return;
-		}
-
-		if( value_size > 2 )
-		{	
-			// if the value_size is smaller than or equal to 2
-			// there is no sense to set x1size and x1start to another values
-
-			for(x1size=value_size ; x1size>0 && table[x1size-1]==0 ; --x1size);
-
-			if( x1size == 0 )
-			{
-				TTMATH_VECTOR_LOG("UInt::MulInt(uint, UInt<>)", result.table, result_size)
-				return;
-			}
-
-			for(x1start=0 ; x1start<x1size && table[x1start]==0 ; ++x1start);
-		}
-
-		for(uint x1=x1start ; x1<x1size ; ++x1)
-		{
-			MulTwoWords(table[x1], ss2, &r2, &r1 );
-			result.AddTwoInts(r2,r1,x1);
-		}
-
-		TTMATH_VECTOR_LOG("UInt::MulInt(uint, UInt<>)", result.table, result_size)
-
-	return;
-	}
-
-
-
-	/*!
-		the multiplication 'this' = 'this' * ss2
-
-		algorithm: 100 - means automatically choose the fastest algorithm
-	*/
-	uint Mul(const UInt<value_size> & ss2, uint algorithm = 100)
-	{
-		switch( algorithm )
-		{
-		case 1:
-			return Mul1(ss2);
-
-		case 2:
-			return Mul2(ss2);
-
-		case 3:
-			return Mul3(ss2);
-
-		case 100:
-		default:
-			return MulFastest(ss2);
-		}
-	}
-
-
-	/*!
-		the multiplication 'result' = 'this' * ss2
-
-		since the 'result' is twice bigger than 'this' and 'ss2' 
-		this method never returns a carry
-
-		algorithm: 100 - means automatically choose the fastest algorithm
-	*/
-	void MulBig(const UInt<value_size> & ss2,
-				UInt<value_size*2> & result, 
-				uint algorithm = 100)
-	{
-		switch( algorithm )
-		{
-		case 1:
-			Mul1Big(ss2, result);
-			break;
-
-		case 2:
-			Mul2Big(ss2, result);
-			break;
-
-		case 3:
-			Mul3Big(ss2, result);
-			break;
-
-		case 100:
-		default:
-			MulFastestBig(ss2, result);
-		}
-	}
-
-
-
-	/*!
-		the first version of the multiplication algorithm
-	*/
-
-private:
-
-	/*!
-		multiplication: this = this * ss2
-
-		it returns carry if it has been
-	*/
-	uint Mul1Ref(const UInt<value_size> & ss2)
-	{
-	TTMATH_REFERENCE_ASSERT( ss2 )
-
-	UInt<value_size> ss1( *this );
-	SetZero();	
-
-		for(uint i=0; i < value_size*TTMATH_BITS_PER_UINT ; ++i)
-		{
-			if( Add(*this) )
-			{
-				TTMATH_LOGC("UInt::Mul1", 1)
-				return 1;
-			}
-
-			if( ss1.Rcl(1) )
-				if( Add(ss2) )
-				{
-					TTMATH_LOGC("UInt::Mul1", 1)
-					return 1;
-				}
-		}
-
-		TTMATH_LOGC("UInt::Mul1", 0)
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		multiplication: this = this * ss2
-		can return carry
-	*/
-	uint Mul1(const UInt<value_size> & ss2)
-	{
-		if( this == &ss2 )
-		{
-			UInt<value_size> copy_ss2(ss2);
-			return Mul1Ref(copy_ss2);
-		}
-		else
-		{
-			return Mul1Ref(ss2);
-		}
-	}
-
-	
-	/*!
-		multiplication: result = this * ss2
-
-		result is twice bigger than 'this' and 'ss2'
-		this method never returns carry			
-	*/
-	void Mul1Big(const UInt<value_size> & ss2_, UInt<value_size*2> & result)
-	{
-	UInt<value_size*2> ss2;
-	uint i;
-
-		// copying *this into result and ss2_ into ss2
-		for(i=0 ; i<value_size ; ++i)
-		{
-			result.table[i] = table[i];
-			ss2.table[i]    = ss2_.table[i];
-		}
-
-		// cleaning the highest bytes in result and ss2
-		for( ; i < value_size*2 ; ++i)
-		{
-			result.table[i] = 0;
-			ss2.table[i]    = 0;
-		}
-
-		// multiply
-		// (there will not be a carry)
-		result.Mul1( ss2 );
-
-		TTMATH_LOG("UInt::Mul1Big")
-	}
-
-
-
-	/*!
-		the second version of the multiplication algorithm
-
-		this algorithm is similar to the 'schoolbook method' which is done by hand
-	*/
-
-	/*!
-		multiplication: this = this * ss2
-
-		it returns carry if it has been
-	*/
-	uint Mul2(const UInt<value_size> & ss2)
-	{
-	UInt<value_size*2> result;
-	uint i, c = 0;
-
-		Mul2Big(ss2, result);
-	
-		// copying result
-		for(i=0 ; i<value_size ; ++i)
-			table[i] = result.table[i];
-
-		// testing carry
-		for( ; i<value_size*2 ; ++i)
-			if( result.table[i] != 0 )
-			{
-				c = 1;
-				break;
-			}
-
-		TTMATH_LOGC("UInt::Mul2", c)
-
-	return c;
-	}
-
-
-	/*!
-		multiplication: result = this * ss2
-
-		result is twice bigger than this and ss2
-		this method never returns carry			
-	*/
-	void Mul2Big(const UInt<value_size> & ss2, UInt<value_size*2> & result)
-	{
-		Mul2Big2<value_size>(table, ss2.table, result);
-
-		TTMATH_LOG("UInt::Mul2Big")
-	}
-
-
-private:
-
-	/*!
-		an auxiliary method for calculating the multiplication 
-
-		arguments we're taking as pointers (this is to improve the Mul3Big2()- avoiding
-		unnecessary copying objects), the result should be taken as a pointer too,
-		but at the moment there is no method AddTwoInts() which can operate on pointers
-	*/
-	template<uint ss_size>
-	void Mul2Big2(const uint * ss1, const uint * ss2, UInt<ss_size*2> & result)
-	{
-	uint x1size  = ss_size, x2size  = ss_size;
-	uint x1start = 0,       x2start = 0;
-
-		if( ss_size > 2 )
-		{	
-			// if the ss_size is smaller than or equal to 2
-			// there is no sense to set x1size (and others) to another values
-
-			for(x1size=ss_size ; x1size>0 && ss1[x1size-1]==0 ; --x1size);
-			for(x2size=ss_size ; x2size>0 && ss2[x2size-1]==0 ; --x2size);
-
-			for(x1start=0 ; x1start<x1size && ss1[x1start]==0 ; ++x1start);
-			for(x2start=0 ; x2start<x2size && ss2[x2start]==0 ; ++x2start);
-		}
-
-		Mul2Big3<ss_size>(ss1, ss2, result, x1start, x1size, x2start, x2size);
-	}
-
-
-
-	/*!
-		an auxiliary method for calculating the multiplication 
-	*/
-	template<uint ss_size>
-	void Mul2Big3(const uint * ss1, const uint * ss2, UInt<ss_size*2> & result, uint x1start, uint x1size, uint x2start, uint x2size)
-	{
-	uint r2, r1;
-
-		result.SetZero();
-
-		if( x1size==0 || x2size==0 )
-			return;
-
-		for(uint x1=x1start ; x1<x1size ; ++x1)
-		{
-			for(uint x2=x2start ; x2<x2size ; ++x2)
-			{
-				MulTwoWords(ss1[x1], ss2[x2], &r2, &r1);
-				result.AddTwoInts(r2, r1, x2+x1);
-				// here will never be a carry
-			}
-		}
-	}
-
-
-public:
-
-
-	/*!
-		multiplication: this = this * ss2
-
-		This is Karatsuba Multiplication algorithm, we're using it when value_size is greater than
-		or equal to TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE macro (defined in ttmathuint.h).
-		If value_size is smaller then we're using Mul2Big() instead.
-
-		Karatsuba multiplication:
-		Assume we have:
-
-			this = x = x1*B^m + x0
-			ss2  = y = y1*B^m + y0
-
-		where x0 and y0 are less than B^m
-		the product from multiplication we can show as:
-	    x*y = (x1*B^m + x0)(y1*B^m + y0) = z2*B^(2m) + z1*B^m + z0
-		where
-
-		    z2 = x1*y1
-			z1 = x1*y0 + x0*y1
-			z0 = x0*y0
-
-		this is standard schoolbook algorithm with O(n^2), Karatsuba observed that z1 can be given in other form:
-
-			z1 = (x1 + x0)*(y1 + y0) - z2 - z0    / z1 = (x1*y1 + x1*y0 + x0*y1 + x0*y0) - x1*y1 - x0*y0 = x1*y0 + x0*y1 /
-
-		and to calculate the multiplication we need only three multiplications (with some additions and subtractions)			
-
-		Our objects 'this' and 'ss2' we divide into two parts and by using recurrence we calculate the multiplication.
-		Karatsuba multiplication has O( n^(ln(3)/ln(2)) )
-	*/
-	uint Mul3(const UInt<value_size> & ss2)
-	{
-	UInt<value_size*2> result;
-	uint i, c = 0;
-
-		Mul3Big(ss2, result);
-	
-		// copying result
-		for(i=0 ; i<value_size ; ++i)
-			table[i] = result.table[i];
-
-		// testing carry
-		for( ; i<value_size*2 ; ++i)
-			if( result.table[i] != 0 )
-			{
-				c = 1;
-				break;
-			}
-
-		TTMATH_LOGC("UInt::Mul3", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		multiplication: result = this * ss2
-
-		result is twice bigger than this and ss2,
-		this method never returns carry,
-		(Karatsuba multiplication)
-	*/
-	void Mul3Big(const UInt<value_size> & ss2, UInt<value_size*2> & result)
-	{
-		Mul3Big2<value_size>(table, ss2.table, result.table);
-
-		TTMATH_LOG("UInt::Mul3Big")
-	}
-
-
-
-private:
-
-	/*!
-		an auxiliary method for calculating the Karatsuba multiplication
-
-		result_size is equal ss_size*2
-	*/
-	template<uint ss_size>
-	void Mul3Big2(const uint * ss1, const uint * ss2, uint * result)
-	{
-	const uint * x1, * x0, * y1, * y0;
-
-
-		if( ss_size>1 && ss_size<TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE )
-		{
-			UInt<ss_size*2> res;
-			Mul2Big2<ss_size>(ss1, ss2, res);
-
-#ifdef __clang__
-#pragma clang diagnostic push
-#pragma clang diagnostic ignored "-Wtautological-compare"
-#endif
-
-			for(uint i=0 ; i<ss_size*2 ; ++i)
-				result[i] = res.table[i];
-
-#ifdef __clang__
-#pragma clang diagnostic pop
-#endif
-
-		return;
-		}
-		else
-		if( ss_size == 1 )
-		{
-			return MulTwoWords(*ss1, *ss2, &result[1], &result[0]);
-		}
-
-
-		if( (ss_size & 1) == 1 )
-		{
-			// ss_size is odd
-			x0 = ss1;
-			y0 = ss2;
-			x1 = ss1 + ss_size / 2 + 1;
-			y1 = ss2 + ss_size / 2 + 1;
-
-			// the second vectors (x1 and y1) are smaller about one from the first ones (x0 and y0)
-			Mul3Big3<ss_size/2 + 1, ss_size/2, ss_size*2>(x1, x0, y1, y0, result);
-		}
-		else
-		{
-			// ss_size is even
-			x0 = ss1;
-			y0 = ss2;
-			x1 = ss1 + ss_size / 2;
-			y1 = ss2 + ss_size / 2;
-			
-			// all four vectors (x0 x1 y0 y1) are equal in size
-			Mul3Big3<ss_size/2, ss_size/2, ss_size*2>(x1, x0, y1, y0, result);
-		}
-	}
-
-
-
-#ifdef _MSC_VER
-#pragma warning (disable : 4717)
-//warning C4717: recursive on all control paths, function will cause runtime stack overflow
-//we have the stop point in Mul3Big2() method
-#endif
-
-#if defined(__GNUC__) && !defined(__clang__)
-#pragma GCC diagnostic push
-#pragma GCC diagnostic ignored "-Wunused-but-set-variable"
-#endif
-
-
-	/*!
-		an auxiliary method for calculating the Karatsuba multiplication
-
-			x = x1*B^m + x0
-			y = y1*B^m + y0
-
-			first_size  - is the size of vectors: x0 and y0
-			second_size - is the size of vectors: x1 and y1 (can be either equal first_size or smaller about one from first_size)
-
-			x*y = (x1*B^m + x0)(y1*B^m + y0) = z2*B^(2m) + z1*B^m + z0
-		      where
-			   z0 = x0*y0 
-			   z2 = x1*y1
-			   z1 = (x1 + x0)*(y1 + y0) - z2 - z0
-	*/
-	template<uint first_size, uint second_size, uint result_size>
-	void Mul3Big3(const uint * x1, const uint * x0, const uint * y1, const uint * y0, uint * result)
-	{
-	uint i, c, xc, yc;
-
-		UInt<first_size>   temp, temp2;
-		UInt<first_size*3> z1;
-
-		// z0 and z2 we store directly in the result (we don't use any temporary variables)
-		Mul3Big2<first_size>(x0, y0, result);                  // z0
-		Mul3Big2<second_size>(x1, y1, result+first_size*2);    // z2
-
-		// now we calculate z1
-		// temp  = (x0 + x1)
-		// temp2 = (y0 + y1)
-		// we're using temp and temp2 with UInt<first_size>, although there can be a carry but 
-		// we simple remember it in xc and yc (xc and yc can be either 0 or 1),
-		// and (x0 + x1)*(y0 + y1) we calculate in this way (schoolbook algorithm):
-		// 
-		//                 xc     |     temp
-		//                 yc     |     temp2
-		//               --------------------
-		//               (temp    *   temp2)
-		//               xc*temp2 |
-		//               yc*temp  |
-		//       xc*yc |                     
-		//       ----------     z1     --------
-		//
-		// and the result is never larger in size than 3*first_size
-
-		xc = AddVector(x0, x1, first_size, second_size, temp.table);
-		yc = AddVector(y0, y1, first_size, second_size, temp2.table);
-
-		Mul3Big2<first_size>(temp.table, temp2.table, z1.table);
-
-#ifdef __clang__
-#pragma clang diagnostic push
-#pragma clang diagnostic ignored "-Wtautological-compare"
-#endif
-
-		// clearing the rest of z1
-		for(i=first_size*2 ; i<first_size*3 ; ++i)
-			z1.table[i] = 0;
-
-#ifdef __clang__
-#pragma clang diagnostic pop
-#endif
-		
-		if( xc )
-		{
-			c = AddVector(z1.table+first_size, temp2.table, first_size*3-first_size, first_size, z1.table+first_size);
-			TTMATH_ASSERT( c==0 )
-		}
-
-		if( yc )
-		{
-			c = AddVector(z1.table+first_size, temp.table, first_size*3-first_size, first_size, z1.table+first_size);
-			TTMATH_ASSERT( c==0 )
-		}
-
-
-		if( xc && yc )
-		{
-#ifdef __clang__
-#pragma clang diagnostic push
-#pragma clang diagnostic ignored "-Wtautological-compare"
-#endif
-
-			for( i=first_size*2 ; i<first_size*3 ; ++i )
-				if( ++z1.table[i] != 0 )
- 					break;  // break if there was no carry 
-
-#ifdef __clang__
-#pragma clang diagnostic pop
-#endif
-		}
-
-		// z1 = z1 - z2
-		c = SubVector(z1.table, result+first_size*2, first_size*3, second_size*2, z1.table);
-		TTMATH_ASSERT(c==0)
-
-		// z1 = z1 - z0
-		c = SubVector(z1.table, result, first_size*3, first_size*2, z1.table);
-		TTMATH_ASSERT(c==0)
-
-		// here we've calculated the z1
-		// now we're adding it to the result
-
-		if( first_size > second_size )
-		{
-			uint z1_size = result_size - first_size;
-			TTMATH_ASSERT( z1_size <= first_size*3 )
-
-#ifdef __clang__
-#pragma clang diagnostic push
-#pragma clang diagnostic ignored "-Wtautological-compare"
-#endif
-
-			for(i=z1_size ; i<first_size*3 ; ++i)
-			{
-				TTMATH_ASSERT( z1.table[i] == 0 )
-			}
-
-#ifdef __clang__
-#pragma clang diagnostic pop
-#endif
- 			
-			c = AddVector(result+first_size, z1.table, result_size-first_size, z1_size, result+first_size);
-			TTMATH_ASSERT(c==0)
-		}
-		else
-		{
-			c = AddVector(result+first_size, z1.table, result_size-first_size, first_size*3, result+first_size);
-			TTMATH_ASSERT(c==0)
-		}
-	}
-
-
-#if defined(__GNUC__) && !defined(__clang__)
-#pragma GCC diagnostic pop
-#endif
-
-#ifdef _MSC_VER
-#pragma warning (default : 4717)
-#endif
-
-
-public:
-
-
-	/*!
-		multiplication this = this * ss2
-	*/
-	uint MulFastest(const UInt<value_size> & ss2)
-	{
-	UInt<value_size*2> result;
-	uint i, c = 0;
-
-		MulFastestBig(ss2, result);
-	
-		// copying result
-		for(i=0 ; i<value_size ; ++i)
-			table[i] = result.table[i];
-
-		// testing carry
-		for( ; i<value_size*2 ; ++i)
-			if( result.table[i] != 0 )
-			{
-				c = 1;
-				break;
-			}
-
-		TTMATH_LOGC("UInt::MulFastest", c)
-
-	return c;
-	}
-
-
-	/*!
-		multiplication result = this * ss2
-
-		this method is trying to select the fastest algorithm
-		(in the future this method can be improved)
-	*/
-	void MulFastestBig(const UInt<value_size> & ss2, UInt<value_size*2> & result)
-	{
-		if( value_size < TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE )
-		{
-			Mul2Big(ss2, result);
-			return;
-		}
-
-		uint x1size  = value_size, x2size  = value_size;
-		uint x1start = 0,          x2start = 0;
-
-		for(x1size=value_size ; x1size>0 && table[x1size-1]==0 ; --x1size);
-		for(x2size=value_size ; x2size>0 && ss2.table[x2size-1]==0 ; --x2size);
-
-		if( x1size==0 || x2size==0 )
-		{
-			// either 'this' or 'ss2' is equal zero - the result is zero too
-			result.SetZero();
-			return;
-		}
-
-		for(x1start=0 ; x1start<x1size && table[x1start]==0 ; ++x1start);
-		for(x2start=0 ; x2start<x2size && ss2.table[x2start]==0 ; ++x2start);
-
-		uint distancex1 = x1size - x1start;
-		uint distancex2 = x2size - x2start;
-
-		if( distancex1 < 3 || distancex2 < 3 )
-		{
-			// either 'this' or 'ss2' have only 2 (or 1) items different from zero (side by side)
-			// (this condition in the future can be improved)
-			Mul2Big3<value_size>(table, ss2.table, result, x1start, x1size, x2start, x2size);
-			return;
-		}
-
-
-		// Karatsuba multiplication
-		Mul3Big(ss2, result);
-
-		TTMATH_LOG("UInt::MulFastestBig")
-	}
-
-
-	/*!
-	 *
-	 * Division
-	 *
-	 *
-	*/
-	
-public:
-
-
-	/*!
-		division by one unsigned word
-
-		returns 1 when divisor is zero
-	*/
-	uint DivInt(uint divisor, uint * remainder = 0)
-	{
-		if( divisor == 0 )
-		{
-			if( remainder )
-				*remainder = 0; // this is for convenience, without it the compiler can report that 'remainder' is uninitialized
-
-			TTMATH_LOG("UInt::DivInt")
-
-		return 1;
-		}
-
-		if( divisor == 1 )
-		{
-			if( remainder )
-				*remainder = 0;
-
-			TTMATH_LOG("UInt::DivInt")
-
-		return 0;
-		}
-
-		UInt<value_size> dividend(*this);
-		SetZero();
-		
-		sint i;  // i must be with a sign
-		uint r = 0;
-
-		// we're looking for the last word in ss1
-		for(i=value_size-1 ; i>0 && dividend.table[i]==0 ; --i);
-
-		for( ; i>=0 ; --i)
-			DivTwoWords(r, dividend.table[i], divisor, &table[i], &r);
-
-		if( remainder )
-			*remainder = r;
-
-		TTMATH_LOG("UInt::DivInt")
-
-	return 0;
-	}
-
-	uint DivInt(uint divisor, uint & remainder)
-	{
-		return DivInt(divisor, &remainder);
-	}
-
-
-
-	/*!
-		division this = this / ss2
-		
-		return values:
-		-  0 - ok
-		-  1 - division by zero
-		-  'this' will be the quotient
-		-  'remainder' - remainder
-	*/
-	uint Div(	const UInt<value_size> & divisor,
-				UInt<value_size> * remainder = 0,
-				uint algorithm = 3)
-	{
-		switch( algorithm )
-		{
-		case 1:
-			return Div1(divisor, remainder);
-
-		case 2:
-			return Div2(divisor, remainder);
-
-		case 3:
-		default:
-			return Div3(divisor, remainder);
-		}
-	}
-
-	uint Div(const UInt<value_size> & divisor, UInt<value_size> & remainder, uint algorithm = 3)
-	{
-		return Div(divisor, &remainder, algorithm);
-	}
-
-
-
-private:
-
-	/*!
-		return values:
-		-  0 - none has to be done
-		-  1 - division by zero
-		-  2 - division should be made
-	*/
-	uint Div_StandardTest(	const UInt<value_size> & v,
-							uint & m, uint & n,
-							UInt<value_size> * remainder = 0)
-	{
-		switch( Div_CalculatingSize(v, m, n) )
-		{
-		case 4: // 'this' is equal v
-			if( remainder )
-				remainder->SetZero();
-
-			SetOne();
-			TTMATH_LOG("UInt::Div_StandardTest")
-			return 0;
-
-		case 3: // 'this' is smaller than v
-			if( remainder )
-				*remainder = *this;
-
-			SetZero();
-			TTMATH_LOG("UInt::Div_StandardTest")
-			return 0;
-
-		case 2: // 'this' is zero
-			if( remainder )
-				remainder->SetZero();
-
-			SetZero();
-			TTMATH_LOG("UInt::Div_StandardTest")
-			return 0;
-
-		case 1: // v is zero
-			TTMATH_LOG("UInt::Div_StandardTest")
-			return 1;
-		}
-
-		TTMATH_LOG("UInt::Div_StandardTest")
-
-	return 2;
-	}
-
-
-
-	/*!
-		return values:
-		-  0 - ok
-			-  'm' - is the index (from 0) of last non-zero word in table ('this')
-			-  'n' - is the index (from 0) of last non-zero word in v.table
-		-  1 - v is zero
-		-  2 - 'this' is zero
-		-  3 - 'this' is smaller than v
-		-  4 - 'this' is equal v
-
-		if the return value is different than zero the 'm' and 'n' are undefined
-	*/
-	uint Div_CalculatingSize(const UInt<value_size> & v, uint & m, uint & n)
-	{
-		m = n = value_size-1;
-
-		for( ; n!=0 && v.table[n]==0 ; --n);
-
-		if( n==0 && v.table[n]==0 )
-			return 1;
-
-		for( ; m!=0 && table[m]==0 ; --m);
-
-		if( m==0 && table[m]==0 )
-			return 2;
-
-		if( m < n )
-			return 3;
-		else
-		if( m == n )
-		{
-			uint i;
-			for(i = n ; i!=0 && table[i]==v.table[i] ; --i);
-			
-			if( table[i] < v.table[i] )
-				return 3;
-			else
-			if (table[i] == v.table[i] )
-				return 4;
-		}
-
-	return 0;
-	}
-
-
-public:
-
-	/*!
-		the first division algorithm
-		(radix 2)
-	*/
-	uint Div1(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
-	{
-	uint m,n, test;
-
-		test = Div_StandardTest(divisor, m, n, remainder);
-		if( test < 2 )
-			return test;
-
-		if( !remainder )
-		{
-			UInt<value_size> rem;
-	
-		return Div1_Calculate(divisor, rem);
-		}
-
-	return Div1_Calculate(divisor, *remainder);
-	}
-
-
-	/*!
-		the first division algorithm
-		(radix 2)
-	*/
-	uint Div1(const UInt<value_size> & divisor, UInt<value_size> & remainder)
-	{
-		return Div1(divisor, &remainder);
-	}
-
-
-private:
-
-	uint Div1_Calculate(const UInt<value_size> & divisor, UInt<value_size> & rest)
-	{
-		if( this == &divisor )
-		{
-			UInt<value_size> divisor_copy(divisor);
-			return Div1_CalculateRef(divisor_copy, rest);
-		}
-		else
-		{
-			return Div1_CalculateRef(divisor, rest);
-		}
-	}
-
-
-	uint Div1_CalculateRef(const UInt<value_size> & divisor, UInt<value_size> & rest)
-	{
-	TTMATH_REFERENCE_ASSERT( divisor )
-	
-	sint loop;
-	sint c;
-
-		rest.SetZero();
-		loop = value_size * TTMATH_BITS_PER_UINT;
-		c = 0;
-
-		
-	div_a:
-		c = Rcl(1, c);
-		c = rest.Add(rest,c);
-		c = rest.Sub(divisor,c);
-
-		c = !c;
-
-		if(!c)
-			goto div_d;
-
-
-	div_b:
-		--loop;
-		if(loop)
-			goto div_a;
-
-		c = Rcl(1, c);
-		TTMATH_LOG("UInt::Div1_Calculate")
-		return 0;
-
-
-	div_c:
-		c = Rcl(1, c);
-		c = rest.Add(rest,c);
-		c = rest.Add(divisor);
-
-		if(c)
-			goto div_b;
-
-
-	div_d:
-		--loop;
-		if(loop)
-			goto div_c;
-
-		c = Rcl(1, c);
-		c = rest.Add(divisor);
-
-		TTMATH_LOG("UInt::Div1_Calculate")
-
-	return 0;
-	}
-	
-
-public:
-
-	/*!
-		the second division algorithm
-
-		return values:
-		-  0 - ok
-		-  1 - division by zero
-	*/
-	uint Div2(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
-	{
-		if( this == &divisor )
-		{
-			UInt<value_size> divisor_copy(divisor);
-			return Div2Ref(divisor_copy, remainder);
-		}
-		else
-		{
-			return Div2Ref(divisor, remainder);
-		}
-	}
-
-
-	/*!
-		the second division algorithm
-
-		return values:
-		-  0 - ok
-		-  1 - division by zero
-	*/
-	uint Div2(const UInt<value_size> & divisor, UInt<value_size> & remainder)
-	{
-		return Div2(divisor, &remainder);
-	}
-
-
-private:
-
-	/*!
-		the second division algorithm
-
-		return values:
-		-  0 - ok
-		-  1 - division by zero
-	*/
-	uint Div2Ref(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
-	{
-		uint bits_diff;
-		uint status = Div2_Calculate(divisor, remainder, bits_diff);
-		if( status < 2 )
-			return status;
-
-		if( CmpBiggerEqual(divisor) )
-		{
-			Div2(divisor, remainder);
-			SetBit(bits_diff);
-		}
-		else
-		{
-			if( remainder )
-				*remainder = *this;
-
-			SetZero();
-			SetBit(bits_diff);
-		}
-
-		TTMATH_LOG("UInt::Div2")
-
-	return 0;
-	}
-
-
-	/*!
-		return values:
-		-  0 - we've calculated the division
-		-  1 - division by zero
-		-  2 - we have to still calculate
-
-	*/
-	uint Div2_Calculate(const UInt<value_size> & divisor, UInt<value_size> * remainder,
-															uint & bits_diff)
-	{
-	uint table_id, index;
-	uint divisor_table_id, divisor_index;
-
-		uint status = Div2_FindLeadingBitsAndCheck(	divisor, remainder,
-													table_id, index,
-													divisor_table_id, divisor_index);
-
-		if( status < 2 )
-		{
-			TTMATH_LOG("UInt::Div2_Calculate")
-			return status;
-		}
-		
-		// here we know that 'this' is greater than divisor
-		// then 'index' is greater or equal 'divisor_index'
-		bits_diff = index - divisor_index;
-
-		UInt<value_size> divisor_copy(divisor);
-		divisor_copy.Rcl(bits_diff, 0);
-
-		if( CmpSmaller(divisor_copy, table_id) )
-		{
-			divisor_copy.Rcr(1);
-			--bits_diff;
-		}
-
-		Sub(divisor_copy, 0);
-
-		TTMATH_LOG("UInt::Div2_Calculate")
-
-	return 2;
-	}
-
-
-	/*!
-		return values:
-		-  0 - we've calculated the division
-		-  1 - division by zero
-		-  2 - we have to still calculate
-	*/
-	uint Div2_FindLeadingBitsAndCheck(	const UInt<value_size> & divisor,
-										UInt<value_size> * remainder,
-										uint & table_id, uint & index,
-										uint & divisor_table_id, uint & divisor_index)
-	{
-		if( !divisor.FindLeadingBit(divisor_table_id, divisor_index) )
-		{
-			// division by zero
-			TTMATH_LOG("UInt::Div2_FindLeadingBitsAndCheck")
-			return 1;
-		}
-
-		if(	!FindLeadingBit(table_id, index) )
-		{
-			// zero is divided by something
-			
-			SetZero();
-
-			if( remainder )
-				remainder->SetZero();
-
-			TTMATH_LOG("UInt::Div2_FindLeadingBitsAndCheck")
-
-		return 0;
-		}
-	
-		divisor_index += divisor_table_id * TTMATH_BITS_PER_UINT;
-		index         += table_id         * TTMATH_BITS_PER_UINT;
-
-		if( divisor_table_id == 0 )
-		{
-			// dividor has only one 32-bit word
-
-			uint r;
-			DivInt(divisor.table[0], &r);
-
-			if( remainder )
-			{
-				remainder->SetZero();
-				remainder->table[0] = r;
-			}
-
-			TTMATH_LOG("UInt::Div2_FindLeadingBitsAndCheck")
-
-		return 0;
-		}
-	
-
-		if( Div2_DivisorGreaterOrEqual(	divisor, remainder,
-										table_id, index,
-										divisor_index) )
-		{
-			TTMATH_LOG("UInt::Div2_FindLeadingBitsAndCheck")
-			return 0;
-		}
-
-
-		TTMATH_LOG("UInt::Div2_FindLeadingBitsAndCheck")
-
-	return 2;
-	}
-
-
-	/*!
-		return values:
-		-  true if divisor is equal or greater than 'this'
-	*/
-	bool Div2_DivisorGreaterOrEqual(	const UInt<value_size> & divisor,
-										UInt<value_size> * remainder, 
-										uint table_id, uint index,
-										uint divisor_index  )
-	{
-		if( divisor_index > index )
-		{
-			// divisor is greater than this
-
-			if( remainder )
-				*remainder = *this;
-
-			SetZero();
-
-			TTMATH_LOG("UInt::Div2_DivisorGreaterOrEqual")
-
-		return true;
-		}
-
-		if( divisor_index == index )
-		{
-			// table_id == divisor_table_id as well
-
-			uint i;
-			for(i = table_id ; i!=0 && table[i]==divisor.table[i] ; --i);
-			
-			if( table[i] < divisor.table[i] )
-			{
-				// divisor is greater than 'this'
-
-				if( remainder )
-					*remainder = *this;
-
-				SetZero();
-
-				TTMATH_LOG("UInt::Div2_DivisorGreaterOrEqual")
-
-			return true;
-			}
-			else
-			if( table[i] == divisor.table[i] )
-			{
-				// divisor is equal 'this'
-
-				if( remainder )
-					remainder->SetZero();
-
-				SetOne();
-
-				TTMATH_LOG("UInt::Div2_DivisorGreaterOrEqual")
-
-			return true;
-			}
-		}
-
-		TTMATH_LOG("UInt::Div2_DivisorGreaterOrEqual")
-
-	return false;
-	}
-
-
-public:
-
-	/*!
-		the third division algorithm
-	*/
-	uint Div3(const UInt<value_size> & ss2, UInt<value_size> * remainder = 0)
-	{
-		if( this == &ss2 )
-		{
-			UInt<value_size> copy_ss2(ss2);
-			return Div3Ref(copy_ss2, remainder);
-		}
-		else
-		{
-			return Div3Ref(ss2, remainder);
-		}
-	}
-
-
-	/*!
-		the third division algorithm
-	*/
-	uint Div3(const UInt<value_size> & ss2, UInt<value_size> & remainder)
-	{
-		return Div3(ss2, &remainder);
-	}
-
-
-private:
-
-	/*!
-		the third division algorithm
-
-		this algorithm is described in the following book:
-			"The art of computer programming 2" (4.3.1 page 272)
-			Donald E. Knuth 
-		!! give the description here (from the book)
-	*/
-	uint Div3Ref(const UInt<value_size> & v, UInt<value_size> * remainder = 0)
-	{
-	uint m,n, test;
-
-		test = Div_StandardTest(v, m, n, remainder);
-		if( test < 2 )
-			return test;
-
-		if( n == 0 )
-		{
-			uint r;
-			DivInt( v.table[0], &r );
-
-			if( remainder )
-			{
-				remainder->SetZero();
-				remainder->table[0] = r;
-			}
-
-			TTMATH_LOG("UInt::Div3")
-
-		return 0;
-		}
-
-
-		// we can only use the third division algorithm when 
-		// the divisor is greater or equal 2^32 (has more than one 32-bit word)
-		++m;
-		++n;
-		m = m - n; 
-		Div3_Division(v, remainder, m, n);
-
-		TTMATH_LOG("UInt::Div3")
-
-	return 0;
-	}
-
-
-
-private:
-
-
-	void Div3_Division(UInt<value_size> v, UInt<value_size> * remainder, uint m, uint n)
-	{
-	TTMATH_ASSERT( n>=2 )
-
-	UInt<value_size+1> uu, vv;
-	UInt<value_size> q;
-	uint d, u_value_size, u0, u1, u2, v1, v0, j=m;	
-	
-		u_value_size = Div3_Normalize(v, n, d);
-
-		if( j+n == value_size )
-			u2 = u_value_size;
-		else
-			u2 = table[j+n];
-
-		Div3_MakeBiggerV(v, vv);
-
-		for(uint i = j+1 ; i<value_size ; ++i)
-			q.table[i] = 0;
-
-		while( true )
-		{
-			u1 = table[j+n-1];
-			u0 = table[j+n-2];
-			v1 = v.table[n-1];
-			v0 = v.table[n-2];
-
-			uint qp = Div3_Calculate(u2,u1,u0, v1,v0);
-
-			Div3_MakeNewU(uu, j, n, u2);
-			Div3_MultiplySubtract(uu, vv, qp);
-			Div3_CopyNewU(uu, j, n);
-
-			q.table[j] = qp;
-
-			// the next loop
-			if( j-- == 0 )
-				break;
-
-			u2 = table[j+n];
-		}
-
-		if( remainder )
-			Div3_Unnormalize(remainder, n, d);
-
-	*this = q;
-
-	TTMATH_LOG("UInt::Div3_Division")
-	}
-
-
-	void Div3_MakeNewU(UInt<value_size+1> & uu, uint j, uint n, uint u_max)
-	{
-	uint i;
-
-		for(i=0 ; i<n ; ++i, ++j)
-			uu.table[i] = table[j];
-
-		// 'n' is from <1..value_size> so and 'i' is from <0..value_size>
-		// then table[i] is always correct (look at the declaration of 'uu')
-		uu.table[i] = u_max;
-
-		for( ++i ; i<value_size+1 ; ++i)
-			uu.table[i] = 0;
-
-		TTMATH_LOG("UInt::Div3_MakeNewU")
-	}
-
-
-	void Div3_CopyNewU(const UInt<value_size+1> & uu, uint j, uint n)
-	{
-	uint i;
-
-		for(i=0 ; i<n ; ++i)
-			table[i+j] = uu.table[i];
-
-		if( i+j < value_size )
-			table[i+j] = uu.table[i];
-
-		TTMATH_LOG("UInt::Div3_CopyNewU")
-	}
-
-
-	/*!
-		we're making the new 'vv' 
-		the value is actually the same but the 'table' is bigger (value_size+1)
-	*/
-	void Div3_MakeBiggerV(const UInt<value_size> & v, UInt<value_size+1> & vv)
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-			vv.table[i] = v.table[i];
-
-		vv.table[value_size] = 0;
-
-		TTMATH_LOG("UInt::Div3_MakeBiggerV")
-	}
-	
-
-	/*!
-		we're moving all bits from 'v' into the left side of the n-1 word
-		(the highest bit at v.table[n-1] will be equal one,
-		the bits from 'this' we're moving the same times as 'v')
-
-		return values:
-		-  d - how many times we've moved
-		-  return - the next-left value from 'this' (that after table[value_size-1])
-	*/
-	uint Div3_Normalize(UInt<value_size> & v, uint n, uint & d)
-	{
-		// v.table[n-1] is != 0
-
-		uint bit  = (uint)FindLeadingBitInWord(v.table[n-1]);
-		uint move = (TTMATH_BITS_PER_UINT - bit - 1);
-		uint res  = table[value_size-1];
-		d         = move;
-
-		if( move > 0 )
-		{
-			v.Rcl(move, 0);
-			Rcl(move, 0);
-			res = res >> (bit + 1);
-		}
-		else
-		{
-			res = 0;
-		}
-
-		TTMATH_LOG("UInt::Div3_Normalize")
-
-	return res;
-	}
-
-
-	void Div3_Unnormalize(UInt<value_size> * remainder, uint n, uint d)
-	{
-		for(uint i=n ; i<value_size ; ++i)
-			table[i] = 0;
-
-		Rcr(d,0);
-
-		*remainder = *this;
-
-		TTMATH_LOG("UInt::Div3_Unnormalize")
-	}
-
-
-	uint Div3_Calculate(uint u2, uint u1, uint u0, uint v1, uint v0)
-	{	
-	UInt<2> u_temp;
-	uint rp;
-	bool next_test;
-
-		TTMATH_ASSERT( v1 != 0 )
-
-		u_temp.table[1] = u2;
-		u_temp.table[0] = u1;
-		u_temp.DivInt(v1, &rp);
-
-		TTMATH_ASSERT( u_temp.table[1]==0 || u_temp.table[1]==1 )
-
-		do
-		{
-			bool decrease = false;
-
-			if( u_temp.table[1] == 1 )
-				decrease = true;
-			else
-			{
-				UInt<2> temp1, temp2;
-
-				UInt<2>::MulTwoWords(u_temp.table[0], v0, temp1.table+1, temp1.table);
-				temp2.table[1] = rp;
-				temp2.table[0] = u0;
-
-				if( temp1 > temp2 )
-					decrease = true;
-			}
-
-			next_test = false;
-
-			if( decrease )
-			{
-				u_temp.SubOne();
-
-				rp += v1;
-
-				if( rp >= v1 ) // it means that there wasn't a carry (r<b from the book)
-					next_test = true;
-			}
-		}
-		while( next_test );
-
-		TTMATH_LOG("UInt::Div3_Calculate")
-
-	return u_temp.table[0];
-	}
-
-
-
-	void Div3_MultiplySubtract(	UInt<value_size+1> & uu,
-								const UInt<value_size+1> & vv, uint & qp)
-	{
-		// D4 (in the book)
-
-		UInt<value_size+1> vv_temp(vv);
-		vv_temp.MulInt(qp);
-
-		if( uu.Sub(vv_temp) )  
-		{
-			// there was a carry
-			
-			//
-			// !!! this part of code was not tested
-			//
-
-			--qp;
-			uu.Add(vv);
-
-			// can be a carry from this additions but it should be ignored 
-			// because it cancels with the borrow from uu.Sub(vv_temp)
-		}
-
-		TTMATH_LOG("UInt::Div3_MultiplySubtract")
-	}
-
-
-
-
-
-
-public:
-
-
-	/*!
-		power this = this ^ pow
-		binary algorithm (r-to-l)
-
-		return values:
-		-  0 - ok
-		-  1 - carry
-		-  2 - incorrect argument (0^0)
-	*/
-	uint Pow(UInt<value_size> pow)
-	{
-		if(pow.IsZero() && IsZero())
-			// we don't define zero^zero
-			return 2;
-
-		UInt<value_size> start(*this);
-		UInt<value_size> result;
-		result.SetOne();
-		uint c = 0;
-
-		while( !c )
-		{
-			if( pow.table[0] & 1 )
-				c += result.Mul(start);
-
-			pow.Rcr2_one(0);
-			if( pow.IsZero() )
-				break;
-
-			c += start.Mul(start);
-		}
-
-		*this = result;
-
-		TTMATH_LOGC("UInt::Pow(UInt<>)", c)
-
-	return (c==0)? 0 : 1;
-	}
-
-
-	/*!
-		square root
-		e.g. Sqrt(9) = 3
-		('digit-by-digit' algorithm)
-	*/
-	void Sqrt()
-	{
-	UInt<value_size> bit, temp;
-
-		if( IsZero() )
-			return;
-
-		UInt<value_size> value(*this);
-
-		SetZero();
-		bit.SetZero();
-		bit.table[value_size-1] = (TTMATH_UINT_HIGHEST_BIT >> 1);
-		
-		while( bit > value )
-			bit.Rcr(2);
-
-		while( !bit.IsZero() )
-		{
-			temp = *this;
-			temp.Add(bit);
-
-			if( value >= temp )
-			{
-				value.Sub(temp);
-				Rcr(1);
-				Add(bit);
-			}
-			else
-			{
-				Rcr(1);
-			}
-
-			bit.Rcr(2);
-		}
-
-		TTMATH_LOG("UInt::Sqrt")
-	}
-
-
-
-
-	/*!
-		this method sets n first bits to value zero
-
-		For example:
-		let n=2 then if there's a value 111 (bin) there'll be '100' (bin)
-	*/
-	void ClearFirstBits(uint n)
-	{
-		if( n >= value_size*TTMATH_BITS_PER_UINT )
-		{
-			SetZero();
-			TTMATH_LOG("UInt::ClearFirstBits")
-			return;
-		}
-
-		uint * p = table;
-
-		// first we're clearing the whole words
-		while( n >= TTMATH_BITS_PER_UINT )
-		{
-			*p++ = 0;
-			n   -= TTMATH_BITS_PER_UINT;
-		}
-
-		if( n == 0 )
-		{
-			TTMATH_LOG("UInt::ClearFirstBits")
-			return;
-		}
-
-		// and then we're clearing one word which has left
-		// mask -- all bits are set to one
-		uint mask = TTMATH_UINT_MAX_VALUE;
-
-		mask = mask << n;
-
-		(*p) &= mask;
-
-		TTMATH_LOG("UInt::ClearFirstBits")
-	}
-
-
-	/*!
-		this method returns true if the highest bit of the value is set
-	*/
-	bool IsTheHighestBitSet() const
-	{
-		return (table[value_size-1] & TTMATH_UINT_HIGHEST_BIT) != 0;
-	}
-
-
-	/*!
-		this method returns true if the lowest bit of the value is set
-	*/
-	bool IsTheLowestBitSet() const
-	{
-		return (*table & 1) != 0;
-	}
-
-
-	/*!
-		returning true if only the highest bit is set
-	*/
-	bool IsOnlyTheHighestBitSet() const
-	{
-#ifdef __clang__
-#pragma clang diagnostic push
-#pragma clang diagnostic ignored "-Wtautological-compare"
-#endif
-
-		for(uint i=0 ; i<value_size-1 ; ++i)
-			if( table[i] != 0 )
-				return false;
-
-#ifdef __clang__
-#pragma clang diagnostic pop
-#endif
-		if( table[value_size-1] != TTMATH_UINT_HIGHEST_BIT )
-			return false;
-
-	return true;
-	}
-
-
-	/*!
-		returning true if only the lowest bit is set
-	*/
-	bool IsOnlyTheLowestBitSet() const
-	{
-		if( table[0] != 1 )
-			return false;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( table[i] != 0 )
-				return false;
-
-	return true;
-	}
-
-
-	/*!
-		this method returns true if the value is equal zero
-	*/
-	bool IsZero() const
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-			if(table[i] != 0)
-				return false;
-
-	return true;
-	}
-
-
-	/*!
-		returning true if first 'bits' bits are equal zero
-	*/
-	bool AreFirstBitsZero(uint bits) const
-	{
-		TTMATH_ASSERT( bits <= value_size * TTMATH_BITS_PER_UINT )
-
-		uint index = bits / TTMATH_BITS_PER_UINT;
-		uint rest  = bits % TTMATH_BITS_PER_UINT;
-		uint i;
-
-		for(i=0 ; i<index ; ++i)
-			if(table[i] != 0 )
-				return false;
-
-		if( rest == 0 )
-			return true;
-
-		uint mask = TTMATH_UINT_MAX_VALUE >> (TTMATH_BITS_PER_UINT - rest);
-
-	return (table[i] & mask) == 0;
-	}
-
-
-
-	/*!
-	*
-	*	conversion methods
-	*
-	*/
-
-
-
-	/*!
-		this method converts an UInt<another_size> type to this class
-
-		this operation has mainly sense if the value from p is 
-		equal or smaller than that one which is returned from UInt<value_size>::SetMax()
-
-		it returns a carry if the value 'p' is too big
-	*/
-	template<uint argument_size>
-	uint FromUInt(const UInt<argument_size> & p)
-	{
-		uint min_size = (value_size < argument_size)? value_size : argument_size;
-		uint i;
-
-		for(i=0 ; i<min_size ; ++i)
-			table[i] = p.table[i];
-
-
-		if( value_size > argument_size )
-		{	
-			// 'this' is longer than 'p'
-
-			for( ; i<value_size ; ++i)
-				table[i] = 0;
-		}
-		else
-		{
-			for( ; i<argument_size ; ++i)
-				if( p.table[i] != 0 )
-				{
-					TTMATH_LOGC("UInt::FromUInt(UInt<>)", 1)
-					return 1;
-				}
-		}
-
-		TTMATH_LOGC("UInt::FromUInt(UInt<>)", 0)
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts an UInt<another_size> type to this class
-
-		this operation has mainly sense if the value from p is 
-		equal or smaller than that one which is returned from UInt<value_size>::SetMax()
-
-		it returns a carry if the value 'p' is too big
-	*/
-	template<uint argument_size>
-	uint FromInt(const UInt<argument_size> & p)
-	{
-		return FromUInt(p);
-	}
-
-
-	/*!
-		this method converts the uint type to this class
-	*/
-	uint FromUInt(uint value)
-	{
-		for(uint i=1 ; i<value_size ; ++i)
-			table[i] = 0;
-
-		table[0] = value;
-
-		TTMATH_LOG("UInt::FromUInt(uint)")
-
-		// there'll never be a carry here
-	return 0;
-	}
-
-
-	/*!
-		this method converts the uint type to this class
-	*/
-	uint FromInt(uint value)
-	{
-		return FromUInt(value);
-	}
-
-
-	/*!
-		this method converts the sint type to this class
-	*/
-	uint FromInt(sint value)
-	{
-		uint c = FromUInt(uint(value));
-
-		if( c || value < 0 )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this operator converts an UInt<another_size> type to this class
-
-		it doesn't return a carry
-	*/
-	template<uint argument_size>
-	UInt<value_size> & operator=(const UInt<argument_size> & p)
-	{
-		FromUInt(p);
-
-	return *this;
-	}
-
-
-	/*!
-		the assignment operator
-	*/
-	UInt<value_size> & operator=(const UInt<value_size> & p)
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-			table[i] = p.table[i];
-
-		TTMATH_LOG("UInt::operator=(UInt<>)")
-
-		return *this;
-	}
-
-
-	/*!
-		this method converts the uint type to this class
-	*/
-	UInt<value_size> & operator=(uint i)
-	{
-		FromUInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting the uint to this class
-	*/
-	UInt(uint i)
-	{
-		FromUInt(i);
-	}
-
-
-	/*!
-		this method converts the sint type to this class
-	*/
-	UInt<value_size> & operator=(sint i)
-	{
-		FromInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting the sint to this class
-
-		look at the description of UInt::operator=(sint)
-	*/
-	UInt(sint i)
-	{
-		FromInt(i);
-	}
-
-
-#ifdef TTMATH_PLATFORM32
-
-
-	/*!
-		this method converts unsigned 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromUInt(ulint n)
-	{
-		table[0] = (uint)n;
-
-		if( value_size == 1 )
-		{
-			uint c = ((n >> TTMATH_BITS_PER_UINT) == 0) ? 0 : 1;
-
-			TTMATH_LOGC("UInt::FromUInt(ulint)", c)
-			return c;
-		}
-
-		table[1] = (uint)(n >> TTMATH_BITS_PER_UINT);
-
-		for(uint i=2 ; i<value_size ; ++i)
-			table[i] = 0;
-
-		TTMATH_LOG("UInt::FromUInt(ulint)")
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts unsigned 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromInt(ulint n)
-	{
-		return FromUInt(n);
-	}
-
-
-	/*!
-		this method converts signed 64 bit int type to this class
-		***this method is created only on a 32bit platform***
-	*/
-	uint FromInt(slint n)
-	{
-		uint c = FromUInt(ulint(n));
-
-		if( c || n < 0 )
-			return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this operator converts unsigned 64 bit int type to this class
-		***this operator is created only on a 32bit platform***
-	*/
-	UInt<value_size> & operator=(ulint n)
-	{
-		FromUInt(n);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting unsigned 64 bit int to this class
-		***this constructor is created only on a 32bit platform***
-	*/
-	UInt(ulint n)
-	{
-		FromUInt(n);
-	}
-
-
-	/*!
-		this operator converts signed 64 bit int type to this class
-		***this operator is created only on a 32bit platform***
-	*/
-	UInt<value_size> & operator=(slint n)
-	{
-		FromInt(n);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting signed 64 bit int to this class
-		***this constructor is created only on a 32bit platform***
-	*/
-	UInt(slint n)
-	{
-		FromInt(n);
-	}
-
-#endif
-
-
-
-#ifdef TTMATH_PLATFORM64
-
-
-	/*!
-		this method converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromUInt(unsigned int i)
-	{
-		return FromUInt(uint(i));
-	}
-
-	/*!
-		this method converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromInt(unsigned int i)
-	{
-		return FromUInt(uint(i));
-	}
-
-
-	/*!
-		this method converts 32 bit signed int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	uint FromInt(signed int i)
-	{
-		return FromInt(sint(i));
-	}
-
-
-	/*!
-		this operator converts 32 bit unsigned int type to this class
-		***this operator is created only on a 64bit platform***
-	*/
-	UInt<value_size> & operator=(unsigned int i)
-	{
-		FromUInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit unsigned int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	UInt(unsigned int i)
-	{
-		FromUInt(i);
-	}
-
-
-	/*!
-		an operator for converting 32 bit signed int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	UInt<value_size> & operator=(signed int i)
-	{
-		FromInt(i);
-
-	return *this;
-	}
-
-
-	/*!
-		a constructor for converting 32 bit signed int to this class
-		***this constructor is created only on a 64bit platform***
-	*/
-	UInt(signed int i)
-	{
-		FromInt(i);
-	}
-
-
-#endif
-
-
-
-
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	UInt(const char * s)
-	{
-		FromString(s);
-	}
-
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	UInt(const std::string & s)
-	{
-		FromString( s.c_str() );
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	UInt(const wchar_t * s)
-	{
-		FromString(s);
-	}
-
-
-	/*!
-		a constructor for converting a string to this class (with the base=10)
-	*/
-	UInt(const std::wstring & s)
-	{
-		FromString( s.c_str() );
-	}
-
-#endif
-
-
-
-
-	/*!
-		a default constructor
-
-		we don't clear the table
-	*/
-	UInt()
-	{
-	// when macro TTMATH_DEBUG_LOG is defined
-	// we set special values to the table
-	// in order to be everywhere the same value of the UInt object
-	// without this it would be difficult to analyse the log file
-	#ifdef TTMATH_DEBUG_LOG
-		#ifdef TTMATH_PLATFORM32
-				for(uint i=0 ; i<value_size ; ++i)
-					table[i] = 0xc1c1c1c1;
-		#else
-				for(uint i=0 ; i<value_size ; ++i)
-					table[i] = 0xc1c1c1c1c1c1c1c1;
-		#endif
-	#endif
-	}
-
-
-	/*!
-		a copy constructor
-	*/
-	UInt(const UInt<value_size> & u)
-	{
-		for(uint i=0 ; i<value_size ; ++i)
-			table[i] = u.table[i];
-
-		TTMATH_LOG("UInt::UInt(UInt<>)")
-	}
-
-
-
-	/*!
-		a template for producting constructors for copying from another types
-	*/
-	template<uint argument_size>
-	UInt(const UInt<argument_size> & u)
-	{
-		// look that 'size' we still set as 'value_size' and not as u.value_size
-		FromUInt(u);
-	}
-
-
-
-
-	/*!
-		a destructor
-	*/
-	~UInt()
-	{
-	}
-
-
-	/*!
-		this method returns the lowest value from table
-
-		we must be sure when we using this method whether the value
-		will hold in an uint type or not (the rest value from the table must be zero)
-	*/
-	uint ToUInt() const
-	{
-		return table[0];
-	}
-
-
-	/*!
-		this method converts the value to uint type
-		can return a carry if the value is too long to store it in uint type
-	*/
-	uint ToUInt(uint & result) const
-	{
-		result = table[0];
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( table[i] != 0 )
-				return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts the value to uint type
-		can return a carry if the value is too long to store it in uint type
-	*/
-	uint ToInt(uint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to sint type (signed integer)
-		can return a carry if the value is too long to store it in sint type
-	*/
-	uint ToInt(sint & result) const
-	{
-		result = sint(table[0]);
-
-		if( (result & TTMATH_UINT_HIGHEST_BIT) != 0 )
-			return 1;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( table[i] != 0 )
-				return 1;
-
-	return 0;
-	}
-
-
-#ifdef TTMATH_PLATFORM32
-
-	/*!
-		this method converts the value to ulint type (64 bit unsigned integer)
-		can return a carry if the value is too long to store it in ulint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToUInt(ulint & result) const
-	{
-		if( value_size == 1 )
-		{
-			result = table[0];
-		}
-		else
-		{
-			uint low  = table[0];
-			uint high = table[1];
-
-			result = low;
-			result |= (ulint(high) << TTMATH_BITS_PER_UINT);
-
-			for(uint i=2 ; i<value_size ; ++i)
-				if( table[i] != 0 )
-					return 1;
-		}
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts the value to ulint type (64 bit unsigned integer)
-		can return a carry if the value is too long to store it in ulint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToInt(ulint & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to slint type (64 bit signed integer)
-		can return a carry if the value is too long to store it in slint type
-		*** this method is created only on a 32 bit platform ***
-	*/
-	uint ToInt(slint & result) const
-	{
-	ulint temp;
-
-		uint c = ToUInt(temp);
-		result = slint(temp);
-
-		if( c || result < 0 )
-			return 1;
-
-	return 0;
-	}
-
-#endif
-
-
-
-#ifdef TTMATH_PLATFORM64
-
-	/*!
-		this method converts the value to a 32 unsigned integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToUInt(unsigned int & result) const
-	{
-		result = (unsigned int)table[0];
-
-		if( (table[0] >> 32) != 0 )
-			return 1;
-
-		for(uint i=1 ; i<value_size ; ++i)
-			if( table[i] != 0 )
-				return 1;
-
-	return 0;
-	}
-
-
-	/*!
-		this method converts the value to a 32 unsigned integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToInt(unsigned int & result) const
-	{
-		return ToUInt(result);
-	}
-
-
-	/*!
-		this method converts the value to a 32 signed integer
-		can return a carry if the value is too long to store it in this type
-		*** this method is created only on a 64 bit platform ***
-	*/
-	uint ToInt(int & result) const
-	{
-	unsigned int temp;
-
-		uint c = ToUInt(temp);
-		result = int(temp);
-
-		if( c || result < 0 )
-			return 1;
-
-	return 0;
-	}
-
-
-#endif
-
-
-
-
-protected:
-
-	/*!
-		an auxiliary method for converting into the string
-		it returns the log (with the base 2) from x
-		where x is in <2;16>
-	*/
-	double ToStringLog2(uint x) const
-	{
-		static double log_tab[] = {
-			1.000000000000000000,
-			0.630929753571457437,
-			0.500000000000000000,
-			0.430676558073393050,
-			0.386852807234541586,
-			0.356207187108022176,
-			0.333333333333333333,
-			0.315464876785728718,
-			0.301029995663981195,
-			0.289064826317887859,
-			0.278942945651129843,
-			0.270238154427319741,
-			0.262649535037193547,
-			0.255958024809815489,
-			0.250000000000000000
-		};
-
-		if( x<2 || x>16 )
-			return 0;
-
-	return log_tab[x-2];
-	}
-
-
-public:
-
-
-	/*!	
-		an auxiliary method for converting to a string
-		it's used from Int::ToString() too (negative is set true then)
-	*/
-	template<class string_type>
-	void ToStringBase(string_type & result, uint b = 10, bool negative = false) const
-	{
-	UInt<value_size> temp(*this);
-	uint rest, table_id, index, digits;
-	double digits_d;
-	char character;
-
-		result.clear();
-
-		if( b<2 || b>16 )
-			return;
-
-		if( !FindLeadingBit(table_id, index) )
-		{
-			result = '0';
-			return;
-		}
-
-		if( negative )
-			result = '-';
-
-		digits_d  = static_cast<double>(table_id); // for not making an overflow in uint type
-		digits_d *= TTMATH_BITS_PER_UINT;
-		digits_d += index + 1;
-		digits_d *= ToStringLog2(b);
-		digits = static_cast<uint>(digits_d) + 3; // plus some epsilon
-
-		if( result.capacity() < digits )
-			result.reserve(digits);
-
-		do
-		{
-			temp.DivInt(b, &rest);
-			character = static_cast<char>(Misc::DigitToChar(rest));
-			result.insert(result.end(), character);
-		}
-		while( !temp.IsZero() );
-
-		size_t i1 = negative ? 1 : 0; // the first is a hyphen (when negative is true)
-		size_t i2 = result.size() - 1;
-
-		for( ; i1 < i2 ; ++i1, --i2 )
-		{
-			char tempc = static_cast<char>(result[i1]);
-			result[i1] = result[i2];
-			result[i2] = tempc;
-		}
-	}
-
-
-
-	/*!	
-		this method converts the value to a string with a base equal 'b'
-	*/
-	void ToString(std::string & result, uint b = 10) const
-	{
-		return ToStringBase(result, b);
-	}
-
-
-	std::string ToString(uint b = 10) const
-	{
-		std::string result;
-		ToStringBase(result, b);
-	
-	return result;
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	void ToString(std::wstring & result, uint b = 10) const
-	{
-		return ToStringBase(result, b);
-	}
-
-	std::wstring ToWString(uint b = 10) const
-	{
-		std::wstring result;
-		ToStringBase(result, b);
-	
-	return result;
-	}
-
-#endif
-
-
-
-private:
-
-	/*!
-		an auxiliary method for converting from a string
-	*/
-	template<class char_type>
-	uint FromStringBase(const char_type * s, uint b = 10, const char_type ** after_source = 0, bool * value_read = 0)
-	{
-	UInt<value_size> base( b );
-	UInt<value_size> temp;
-	sint z;
-	uint c = 0;
-
-		SetZero();
-		temp.SetZero();
-		Misc::SkipWhiteCharacters(s);
-
-		if( after_source )
-			*after_source = s;
-
-		if( value_read )
-			*value_read = false;
-
-		if( b<2 || b>16 )
-			return 1;
-
-
-		for( ; (z=Misc::CharToDigit(*s, b)) != -1 ; ++s)
-		{
-			if( value_read )
-				*value_read = true;
-
-			if( c == 0 )
-			{
-				temp.table[0] = z;
-
-				c += Mul(base); // !! IMPROVE ME: there can be used MulInt here
-				c += Add(temp);
-			}
-		}		
-
-		if( after_source )
-			*after_source = s;
-
-		TTMATH_LOGC("UInt::FromString", c)
-
-	return (c==0)? 0 : 1;
-	}
-
-
-public:
-
-
-	/*!
-		this method converts a string into its value
-		it returns carry=1 if the value will be too big or an incorrect base 'b' is given
-
-		string is ended with a non-digit value, for example:
-			"12" will be translated to 12
-			as well as:
-			"12foo" will be translated to 12 too
-
-		existing first white characters will be ommited
-
-		if the value from s is too large the rest digits will be skipped
-
-		after_source (if exists) is pointing at the end of the parsed string
-
-		value_read (if exists) tells whether something has actually been read (at least one digit)
-	*/
-	uint FromString(const char * s, uint b = 10, const char ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(s, b, after_source, value_read);
-	}
-
-
-	/*!
-		this method converts a string into its value
-
-		(it returns carry=1 if the value will be too big or an incorrect base 'b' is given)
-	*/
-	uint FromString(const std::string & s, uint b = 10)
-	{
-		return FromString( s.c_str(), b );
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	UInt<value_size> & operator=(const char * s)
-	{
-		FromString(s);
-
-	return *this;
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	UInt<value_size> & operator=(const std::string & s)
-	{
-		FromString( s.c_str() );
-
-	return *this;
-	}
-
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		this method converts a string into its value
-	*/
-	uint FromString(const wchar_t * s, uint b = 10, const wchar_t ** after_source = 0, bool * value_read = 0)
-	{
-		return FromStringBase(s, b, after_source, value_read);
-	}
-
-
-	/*!
-		this method converts a string into its value
-
-		(it returns carry=1 if the value will be too big or an incorrect base 'b' is given)
-	*/
-	uint FromString(const std::wstring & s, uint b = 10)
-	{
-		return FromString( s.c_str(), b );
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	UInt<value_size> & operator=(const wchar_t * s)
-	{
-		FromString(s);
-
-	return *this;
-	}
-
-
-	/*!
-		this operator converts a string into its value (with base = 10)
-	*/
-	UInt<value_size> & operator=(const std::wstring & s)
-	{
-		FromString( s.c_str() );
-
-	return *this;
-	}
-
-#endif
-
-
-	/*!
-	*
-	*	methods for comparing
-	*
-	*/
-
-
-	/*!
-		this method returns true if 'this' is smaller than 'l'
-
-		'index' is an index of the first word from will be the comparison performed
-		(note: we start the comparison from back - from the last word, when index is -1 /default/
-		it is automatically set into the last word)
-		I introduced it for some kind of optimization made in the second division algorithm (Div2)
-	*/
-	bool CmpSmaller(const UInt<value_size> & l, sint index = -1) const
-	{
-	sint i;
-
-		if( index==-1 || index>=sint(value_size) )
-			i = value_size - 1;
-		else
-			i = index;
-
-
-		for( ; i>=0 ; --i)
-		{
-			if( table[i] != l.table[i] )
-				return table[i] < l.table[i];
-		}
-
-	// they're equal
-	return false;
-	}
-
-
-
-	/*!
-		this method returns true if 'this' is bigger than 'l'
-
-		'index' is an index of the first word from will be the comparison performed
-		(note: we start the comparison from back - from the last word, when index is -1 /default/
-		it is automatically set into the last word)
-
-		I introduced it for some kind of optimization made in the second division algorithm (Div2)
-	*/
-	bool CmpBigger(const UInt<value_size> & l, sint index = -1) const
-	{
-	sint i;
-
-		if( index==-1 || index>=sint(value_size) )
-			i = value_size - 1;
-		else
-			i = index;
-
-
-		for( ; i>=0 ; --i)
-		{
-			if( table[i] != l.table[i] )
-				return table[i] > l.table[i];
-		}
-
-	// they're equal
-	return false;
-	}
-
-
-	/*!
-		this method returns true if 'this' is equal 'l'
-
-		'index' is an index of the first word from will be the comparison performed
-		(note: we start the comparison from back - from the last word, when index is -1 /default/
-		it is automatically set into the last word)
-	*/
-	bool CmpEqual(const UInt<value_size> & l, sint index = -1) const
-	{
-	sint i;
-
-		if( index==-1 || index>=sint(value_size) )
-			i = value_size - 1;
-		else
-			i = index;
-
-
-		for( ; i>=0 ; --i)
-			if( table[i] != l.table[i] )
-				return false;
-
-	return true;
-	}
-
-
-
-	/*!
-		this method returns true if 'this' is smaller than or equal 'l'
-
-		'index' is an index of the first word from will be the comparison performed
-		(note: we start the comparison from back - from the last word, when index is -1 /default/
-		it is automatically set into the last word)
-	*/
-	bool CmpSmallerEqual(const UInt<value_size> & l, sint index=-1) const
-	{
-	sint i;
-
-		if( index==-1 || index>=sint(value_size) )
-			i = value_size - 1;
-		else
-			i = index;
-
-
-		for( ; i>=0 ; --i)
-		{
-			if( table[i] != l.table[i] )
-				return table[i] < l.table[i];
-		}
-
-	// they're equal
-	return true;
-	}
-
-
-
-	/*!
-		this method returns true if 'this' is bigger than or equal 'l'
-
-		'index' is an index of the first word from will be the comparison performed
-		(note: we start the comparison from back - from the last word, when index is -1 /default/
-		it is automatically set into the last word)
-	*/
-	bool CmpBiggerEqual(const UInt<value_size> & l, sint index=-1) const
-	{
-	sint i;
-
-		if( index==-1 || index>=sint(value_size) )
-			i = value_size - 1;
-		else
-			i = index;
-
-
-		for( ; i>=0 ; --i)
-		{
-			if( table[i] != l.table[i] )
-				return table[i] > l.table[i];
-		}
-
-	// they're equal
-	return true;
-	}
-
-
-	/*
-		operators for comparising
-	*/
-
-	bool operator<(const UInt<value_size> & l) const
-	{
-		return CmpSmaller(l);
-	}
-
-
-	bool operator>(const UInt<value_size> & l) const
-	{
-		return CmpBigger(l);
-	}
-
-
-	bool operator==(const UInt<value_size> & l) const
-	{
-		return CmpEqual(l);
-	}
-
-
-	bool operator!=(const UInt<value_size> & l) const
-	{
-		return !operator==(l);
-	}
-
-
-	bool operator<=(const UInt<value_size> & l) const
-	{
-		return CmpSmallerEqual(l);
-	}
-
-	bool operator>=(const UInt<value_size> & l) const
-	{
-		return CmpBiggerEqual(l);
-	}
-
-
-	/*!
-	*
-	*	standard mathematical operators 
-	*
-	*/
-
-	UInt<value_size> operator-(const UInt<value_size> & p2) const
-	{
-	UInt<value_size> temp(*this);
-
-		temp.Sub(p2);
-
-	return temp;
-	}
-
-	UInt<value_size> & operator-=(const UInt<value_size> & p2)
-	{
-		Sub(p2);
-
-	return *this;
-	}
-
-	UInt<value_size> operator+(const UInt<value_size> & p2) const
-	{
-	UInt<value_size> temp(*this);
-
-		temp.Add(p2);
-
-	return temp;
-	}
-
-	UInt<value_size> & operator+=(const UInt<value_size> & p2)
-	{
-		Add(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator*(const UInt<value_size> & p2) const
-	{
-	UInt<value_size> temp(*this);
-
-		temp.Mul(p2);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator*=(const UInt<value_size> & p2)
-	{
-		Mul(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator/(const UInt<value_size> & p2) const
-	{
-	UInt<value_size> temp(*this);
-
-		temp.Div(p2);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator/=(const UInt<value_size> & p2)
-	{
-		Div(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator%(const UInt<value_size> & p2) const
-	{
-	UInt<value_size> temp(*this);
-	UInt<value_size> remainder;
-	
-		temp.Div( p2, remainder );
-
-	return remainder;
-	}
-
-
-	UInt<value_size> & operator%=(const UInt<value_size> & p2)
-	{
-	UInt<value_size> remainder;
-	
-		Div( p2, remainder );
-		operator=(remainder);
-
-	return *this;
-	}
-
-
-	/*!
-		Prefix operator e.g ++variable
-	*/
-	UInt<value_size> & operator++()
-	{
-		AddOne();
-
-	return *this;
-	}
-
-
-	/*!
-		Postfix operator e.g variable++
-	*/
-	UInt<value_size> operator++(int)
-	{
-	UInt<value_size> temp( *this );
-
-		AddOne();
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator--()
-	{
-		SubOne();
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator--(int)
-	{
-	UInt<value_size> temp( *this );
-
-		SubOne();
-
-	return temp;
-	}
-
-
-
-	/*!
-	*
-	*	bitwise operators
-	*
-	*/
-
-	UInt<value_size> operator~() const
-	{
-		UInt<value_size> temp( *this );
-
-		temp.BitNot();
-
-	return temp;
-	}
-
-
-	UInt<value_size> operator&(const UInt<value_size> & p2) const
-	{
-		UInt<value_size> temp( *this );
-
-		temp.BitAnd(p2);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator&=(const UInt<value_size> & p2)
-	{
-		BitAnd(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator|(const UInt<value_size> & p2) const
-	{
-		UInt<value_size> temp( *this );
-
-		temp.BitOr(p2);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator|=(const UInt<value_size> & p2)
-	{
-		BitOr(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator^(const UInt<value_size> & p2) const
-	{
-		UInt<value_size> temp( *this );
-
-		temp.BitXor(p2);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator^=(const UInt<value_size> & p2)
-	{
-		BitXor(p2);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator>>(int move) const
-	{
-	UInt<value_size> temp( *this );
-
-		temp.Rcr(move);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator>>=(int move)
-	{
-		Rcr(move);
-
-	return *this;
-	}
-
-
-	UInt<value_size> operator<<(int move) const
-	{
-	UInt<value_size> temp( *this );
-
-		temp.Rcl(move);
-
-	return temp;
-	}
-
-
-	UInt<value_size> & operator<<=(int move)
-	{
-		Rcl(move);
-
-	return *this;
-	}
-
-
-	/*!
-	*
-	*	input/output operators for standard streams
-	*	
-	*	(they are very simple, in the future they should be changed)
-	*
-	*/
-
-
-private:
-
-
-	/*!
-		an auxiliary method for outputing to standard streams
-	*/
-	template<class ostream_type, class string_type>
-	static ostream_type & OutputToStream(ostream_type & s, const UInt<value_size> & l)
-	{
-	string_type ss;
-
-		l.ToString(ss);
-		s << ss;
-
-	return s;
-	}
-
-
-public:
-
-
-	/*!
-		output to standard streams
-	*/
-	friend std::ostream & operator<<(std::ostream & s, const UInt<value_size> & l)
-	{
-		return OutputToStream<std::ostream, std::string>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		output to standard streams
-	*/
-	friend std::wostream & operator<<(std::wostream & s, const UInt<value_size> & l)
-	{
-		return OutputToStream<std::wostream, std::wstring>(s, l);
-	}
-
-#endif
-
-
-
-private:
-
-	/*!
-		an auxiliary method for reading from standard streams
-	*/
-	template<class istream_type, class string_type, class char_type>
-	static istream_type & InputFromStream(istream_type & s, UInt<value_size> & l)
-	{
-	string_type ss;
-	
-	// char or wchar_t for operator>>
-	char_type z;
-	
-		// operator>> omits white characters if they're set for ommiting
-		s >> z;
-
-		// we're reading only digits (base=10)
-		while( s.good() && Misc::CharToDigit(z, 10)>=0 )
-		{
-			ss += z;
-			z = static_cast<char_type>(s.get());
-		}
-
-		// we're leaving the last read character
-		// (it's not belonging to the value)
-		s.unget();
-
-		l.FromString(ss);
-
-	return s;
-	}
-
-public:
-
-
-	/*!
-		input from standard streams
-	*/
-	friend std::istream & operator>>(std::istream & s, UInt<value_size> & l)
-	{
-		return InputFromStream<std::istream, std::string, char>(s, l);
-	}
-
-
-#ifndef TTMATH_DONT_USE_WCHAR
-
-	/*!
-		input from standard streams
-	*/
-	friend std::wistream & operator>>(std::wistream & s, UInt<value_size> & l)
-	{
-		return InputFromStream<std::wistream, std::wstring, wchar_t>(s, l);
-	}
-
-#endif
-
-
-	/*
-		Following methods are defined in:
-			ttmathuint_x86.h
-			ttmathuint_x86_64.h
-			ttmathuint_noasm.h
-	*/
-
-#ifdef TTMATH_NOASM
-	static uint AddTwoWords(uint a, uint b, uint carry, uint * result);
-	static uint SubTwoWords(uint a, uint b, uint carry, uint * result);
-
-#ifdef TTMATH_PLATFORM64
-
-	union uint_
-	{
-		struct 
-		{
-			unsigned int low;  // 32 bit 
-			unsigned int high; // 32 bit
-		} u_;
-
-		uint u;                // 64 bit
-	};
-
-
-	static void DivTwoWords2(uint a,uint b, uint c, uint * r, uint * rest);
-	static uint DivTwoWordsNormalize(uint_ & a_, uint_ & b_, uint_ & c_);
-	static uint DivTwoWordsUnnormalize(uint u, uint d);
-	static unsigned int DivTwoWordsCalculate(uint_ u_, unsigned int u3, uint_ v_);
-	static void MultiplySubtract(uint_ & u_, unsigned int & u3, unsigned int & q, uint_ v_);
-
-#endif // TTMATH_PLATFORM64
-#endif // TTMATH_NOASM
-
-
-private:
-	uint Rcl2_one(uint c);
-	uint Rcr2_one(uint c);
-	uint Rcl2(uint bits, uint c);
-	uint Rcr2(uint bits, uint c);
-
-public:
-	static const char * LibTypeStr();
-	static LibTypeCode LibType();
-	uint Add(const UInt<value_size> & ss2, uint c=0);
-	uint AddInt(uint value, uint index = 0);
-	uint AddTwoInts(uint x2, uint x1, uint index);
-	static uint AddVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result);
-	uint Sub(const UInt<value_size> & ss2, uint c=0);
-	uint SubInt(uint value, uint index = 0);
-	static uint SubVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result);
-	static sint FindLeadingBitInWord(uint x);
-	static sint FindLowestBitInWord(uint x);
-	static uint SetBitInWord(uint & value, uint bit);
-	static void MulTwoWords(uint a, uint b, uint * result_high, uint * result_low);
-	static void DivTwoWords(uint a,uint b, uint c, uint * r, uint * rest);
-
-};
-
-
-
-/*!
-	this specialization is needed in order to not confuse the compiler "error: ISO C++ forbids zero-size array"
-	when compiling Mul3Big2() method
-*/
-template<>
-class UInt<0>
-{
-public:
-	uint table[1];
-
-	void Mul2Big(const UInt<0> &, UInt<0> &) { TTMATH_ASSERT(false) };
-	void SetZero() { TTMATH_ASSERT(false) };
-	uint AddTwoInts(uint, uint, uint) { TTMATH_ASSERT(false) return 0; };
-};
-
-
-} //namespace
-
-
-#include "ttmathuint_x86.h"
-#include "ttmathuint_x86_64.h"
-#include "ttmathuint_noasm.h"
-
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathuint_noasm.h b/include/geos/algorithm/ttmath/ttmathuint_noasm.h
deleted file mode 100644
index 96ab494..0000000
--- a/include/geos/algorithm/ttmath/ttmathuint_noasm.h
+++ /dev/null
@@ -1,1038 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2010, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef headerfilettmathuint_noasm
-#define headerfilettmathuint_noasm
-
-
-/*!
-	\file ttmathuint_noasm.h
-    \brief template class UInt<uint> with methods without any assembler code (used for no-asm version of ttmath)
-
-	this file is included at the end of ttmathuint.h
-*/
-
-#ifdef TTMATH_NOASM
-
-
-
-namespace ttmath
-{
-
-	/*!
-		returning the string represents the currect type of the library
-		we have following types:
-		-  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)
-		-  asm_gcc_32  - with asm code designed for GCC (32 bits)
-		-  asm_vc_64   - with asm for VC (64 bit)
-		-  asm_gcc_64  - with asm for GCC (64 bit)
-		-  no_asm_32   - pure C++ version (32 bit) - without any asm code
-		-  no_asm_64   - pure C++ version (64 bit) - without any asm code
-	*/
-	template<uint value_size>
-	const char * UInt<value_size>::LibTypeStr()
-	{
-		#ifdef TTMATH_PLATFORM32
-			static const char info[] = "no_asm_32";
-		#endif		
-
-		#ifdef TTMATH_PLATFORM64
-			static const char info[] = "no_asm_64";
-		#endif
-
-	return info;
-	}
-
-	
-	/*!
-		returning the currect type of the library
-	*/
-	template<uint value_size>
-	LibTypeCode UInt<value_size>::LibType()
-	{
-		#ifdef TTMATH_PLATFORM32
-			LibTypeCode info = no_asm_32;
-		#endif		
-
-		#ifdef TTMATH_PLATFORM64
-			LibTypeCode info = no_asm_64;
-		#endif
-
-	return info;
-	}
-
-
-	/*!
-		this method adds two words together
-		returns carry
-
-		this method is created only when TTMATH_NOASM macro is defined
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddTwoWords(uint a, uint b, uint carry, uint * result)
-	{
-	uint temp;
-
-		if( carry == 0 )
-		{
-			temp = a + b;
-
-			if( temp < a )
-				carry = 1;
-		}
-		else
-		{
-			carry = 1;
-			temp  = a + b + carry;
-
-			if( temp > a ) // !(temp<=a)
-				carry = 0;
-		}
-
-		*result = temp;
-
-	return carry;
-	}
-
-
-
-	/*!
-		this method adding ss2 to the this and adding carry if it's defined
-		(this = this + ss2 + c)
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it was)
-	*/
-	
-	template<uint value_size>
-	uint UInt<value_size>::Add(const UInt<value_size> & ss2, uint c)
-	{
-	uint i;
-
-		for(i=0 ; i<value_size ; ++i)
-			c = AddTwoWords(table[i], ss2.table[i], c, &table[i]);
-
-		TTMATH_LOGC("UInt::Add", c)
-	
-	return c;
-	}
-
-
-	/*!
-		this method adds one word (at a specific position)
-		and returns a carry (if it was)
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;
-
-		and we call:
-
-			AddInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 + 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddInt(uint value, uint index)
-	{
-	uint i, c;
-
-		TTMATH_ASSERT( index < value_size )
-
-
-		c = AddTwoWords(table[index], value, 0, &table[index]);
-
-		for(i=index+1 ; i<value_size && c ; ++i)
-			c = AddTwoWords(table[i], 0, c, &table[i]);
-
-		TTMATH_LOGC("UInt::AddInt", c)
-	
-	return c;
-	}
-
-
-
-
-
-	/*!
-		this method adds only two unsigned words to the existing value
-		and these words begin on the 'index' position
-		(it's used in the multiplication algorithm 2)
-
-		index should be equal or smaller than value_size-2 (index <= value_size-2)
-		x1 - lower word, x2 - higher word
-
-		for example if we've got value_size equal 4 and:
-
-			table[0] = 3
-			table[1] = 4
-			table[2] = 5
-			table[3] = 6
-
-		then let
-
-			x1 = 10
-			x2 = 20
-
-		and
-
-			index = 1
-
-		the result of this method will be:
-
-			table[0] = 3
-			table[1] = 4 + x1 = 14
-			table[2] = 5 + x2 = 25
-			table[3] = 6
-		
-		and no carry at the end of table[3]
-
-		(of course if there was a carry in table[2](5+20) then 
-		this carry would be passed to the table[3] etc.)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddTwoInts(uint x2, uint x1, uint index)
-	{
-	uint i, c;
-
-		TTMATH_ASSERT( index < value_size - 1 )
-
-
-		c = AddTwoWords(table[index],   x1, 0, &table[index]);
-		c = AddTwoWords(table[index+1], x2, c, &table[index+1]);
-
-		for(i=index+2 ; i<value_size && c ; ++i)
-			c = AddTwoWords(table[i], 0, c, &table[i]);
-
-		TTMATH_LOGC("UInt::AddTwoInts", c)
-	
-	return c;
-	}
-
-
-
-	/*!
-		this static method addes one vector to the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		-  ss1 points to the first (larger) vector
-		-  ss2 points to the second vector
-		-  ss1_size - size of the ss1 (and size of the result too)
-		-  ss2_size - size of the ss2
-		-  result - is the result vector (which has size the same as ss1: ss1_size)
-
-			Example:  ss1_size is 5, ss2_size is 3
-			ss1:      ss2:   result (output):
-			  5        1         5+1
-			  4        3         4+3
-			  2        7         2+7
-			  6                  6
-			  9                  9
-
-	  of course the carry is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-	uint i, c = 0;
-
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-		
-		for(i=0 ; i<ss2_size ; ++i)
-			c = AddTwoWords(ss1[i], ss2[i], c, &result[i]);
-
-		for( ; i<ss1_size ; ++i)
-			c = AddTwoWords(ss1[i], 0, c, &result[i]);
-
-		TTMATH_VECTOR_LOGC("UInt::AddVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method subtractes one word from the other
-		returns carry
-
-		this method is created only when TTMATH_NOASM macro is defined
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubTwoWords(uint a, uint b, uint carry, uint * result)
-	{
-		if( carry == 0 )
-		{
-			*result = a - b;
-
-			if( a < b )
-				carry = 1;
-		}
-		else
-		{
-			carry   = 1;
-			*result = a - b - carry;
-
-			if( a > b ) // !(a <= b )
-				carry = 0;
-		}
-
-	return carry;
-	}
-
-
-
-
-	/*!
-		this method's subtracting ss2 from the 'this' and subtracting
-		carry if it has been defined
-		(this = this - ss2 - c)
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it was)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Sub(const UInt<value_size> & ss2, uint c)
-	{
-	uint i;
-
-		for(i=0 ; i<value_size ; ++i)
-			c = SubTwoWords(table[i], ss2.table[i], c, &table[i]);
-
-		TTMATH_LOGC("UInt::Sub", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method subtracts one word (at a specific position)
-		and returns a carry (if it was)
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;	
-
-		and we call:
-
-			SubInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 - 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubInt(uint value, uint index)
-	{
-	uint i, c;
-
-		TTMATH_ASSERT( index < value_size )
-
-
-		c = SubTwoWords(table[index], value, 0, &table[index]);
-
-		for(i=index+1 ; i<value_size && c ; ++i)
-			c = SubTwoWords(table[i], 0, c, &table[i]);
-
-		TTMATH_LOGC("UInt::SubInt", c)
-	
-	return c;
-	}
-
-
-	/*!
-		this static method subtractes one vector from the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		-  ss1 points to the first (larger) vector
-		-  ss2 points to the second vector
-		-  ss1_size - size of the ss1 (and size of the result too)
-		-  ss2_size - size of the ss2
-		-  result - is the result vector (which has size the same as ss1: ss1_size)
-
-			Example:  ss1_size is 5, ss2_size is 3
-			ss1:      ss2:   result (output):
-			  5        1         5-1
-			  4        3         4-3
-			  2        7         2-7
-			  6                  6-1  (the borrow from previous item)
-			  9                  9
-		                 return (carry): 0
-	  of course the carry (borrow) is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-	uint i, c = 0;
-
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-		
-		for(i=0 ; i<ss2_size ; ++i)
-			c = SubTwoWords(ss1[i], ss2[i], c, &result[i]);
-
-		for( ; i<ss1_size ; ++i)
-			c = SubTwoWords(ss1[i], 0, c, &result[i]);
-
-		TTMATH_VECTOR_LOGC("UInt::SubVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bit* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2_one(1) there'll be 010100001 and Rcl2_one returns 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2_one(uint c)
-	{
-	uint i, new_c;
-
-		if( c != 0 )
-			c = 1;
-
-		for(i=0 ; i<value_size ; ++i)
-		{
-			new_c    = (table[i] & TTMATH_UINT_HIGHEST_BIT) ? 1 : 0;
-			table[i] = (table[i] << 1) | c;
-			c        = new_c;
-		}
-
-		TTMATH_LOGC("UInt::Rcl2_one", c)
-
-	return c;
-	}
-
-
-
-
-
-
-
-	/*!
-		this method moves all bits into the right hand side
-		c -> this -> return value
-
-		the highest *bit* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2_one(1) there'll be 100000001 and Rcr2_one returns 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2_one(uint c)
-	{
-	sint i; // signed i
-	uint new_c;
-
-		if( c != 0 )
-			c = TTMATH_UINT_HIGHEST_BIT;
-
-		for(i=sint(value_size)-1 ; i>=0 ; --i)
-		{
-			new_c    = (table[i] & 1) ? TTMATH_UINT_HIGHEST_BIT : 0;
-			table[i] = (table[i] >> 1) | c;
-			c        = new_c;
-		}
-
-		c = (c != 0)? 1 : 0;
-
-		TTMATH_LOGC("UInt::Rcr2_one", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bits* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2(3, 1) there'll be 010000111 and Rcl2 returns 1
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2(uint bits, uint c)
-	{
-		TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-
-		uint move = TTMATH_BITS_PER_UINT - bits;
-		uint i, new_c;
-
-		if( c != 0 )
-			c = TTMATH_UINT_MAX_VALUE >> move;
-
-		for(i=0 ; i<value_size ; ++i)
-		{
-			new_c    = table[i] >> move;
-			table[i] = (table[i] << bits) | c;
-			c        = new_c;
-		}
-
-		TTMATH_LOGC("UInt::Rcl2", (c & 1))
-
-	return (c & 1);
-	}
-
-
-
-
-	/*!
-		this method moves all bits into the right hand side
-		C -> this -> return value
-
-		the highest *bits* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2(2, 1) there'll be 110000000 and Rcr2 returns 1
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2(uint bits, uint c)
-	{
-		TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-
-		uint move = TTMATH_BITS_PER_UINT - bits;
-		sint i; // signed
-		uint new_c;
-
-		if( c != 0 )
-			c = TTMATH_UINT_MAX_VALUE << move;
-
-		for(i=value_size-1 ; i>=0 ; --i)
-		{
-			new_c    = table[i] << move;
-			table[i] = (table[i] >> bits) | c;
-			c        = new_c;
-		}
-
-		c = (c & TTMATH_UINT_HIGHEST_BIT) ? 1 : 0;
-
-		TTMATH_LOGC("UInt::Rcr2", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method returns the number of the highest set bit in x
-		if the 'x' is zero this method returns '-1'
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLeadingBitInWord(uint x)
-	{
-		if( x == 0 )
-			return -1;
-
-		uint bit = TTMATH_BITS_PER_UINT - 1;
-		
-		while( (x & TTMATH_UINT_HIGHEST_BIT) == 0 )
-		{
-			x = x << 1;
-			--bit;
-		}
-
-	return bit;
-	}
-
-
-
-	/*!
-		this method returns the number of the highest set bit in x
-		if the 'x' is zero this method returns '-1'
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLowestBitInWord(uint x)
-	{
-		if( x == 0 )
-			return -1;
-
-		uint bit = 0;
-		
-		while( (x & 1) == 0 )
-		{
-			x = x >> 1;
-			++bit;
-		}
-
-	return bit;
-	}
-
-
-
-	/*!
-		this method sets a special bit in the 'value'
-		and returns the last state of the bit (zero or one)
-
-		bit is from <0,TTMATH_BITS_PER_UINT-1>
-
-		e.g.
-
-			uint x = 100;
-			uint bit = SetBitInWord(x, 3);
-
-		now: x = 108 and bit = 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SetBitInWord(uint & value, uint bit)
-	{
-		TTMATH_ASSERT( bit < TTMATH_BITS_PER_UINT )
-
-		uint mask = 1;
-
-		if( bit > 0 )
-			mask = mask << bit;
-
-		uint last = value & mask;
-		value     = value | mask;
-
-	return (last != 0) ? 1 : 0;
-	}
-
-
-
-
-
-
-	/*!
-	 *
-	 * Multiplication
-	 *
-	 *
-	*/
-
-
-	/*!
-		multiplication: result_high:result_low = a * b
-		-  result_high - higher word of the result
-		-  result_low  - lower word of the result
-	
-		this methos never returns a carry
-
-		this method is used in the second version of the multiplication algorithms
-	*/
-	template<uint value_size>
-	void UInt<value_size>::MulTwoWords(uint a, uint b, uint * result_high, uint * result_low)
-	{
-	#ifdef TTMATH_PLATFORM32
-
-		/*
-			on 32bit platforms we have defined 'unsigned long long int' type known as 'ulint' in ttmath namespace
-			this type has 64 bits, then we're using only one multiplication: 32bit * 32bit = 64bit
-		*/
-
-		union uint_
-		{
-			struct
-			{
-				uint low;  // 32 bits
-				uint high; // 32 bits
-			} u_;
-
-			ulint u;       // 64 bits
-		} res;
-
-		res.u = ulint(a) * ulint(b);     // multiply two 32bit words, the result has 64 bits
-
-		*result_high = res.u_.high;
-		*result_low  = res.u_.low;
-
-	#else
-
-		/*
-			64 bits platforms
-
-			we don't have a native type which has 128 bits
-			then we're splitting 'a' and 'b' to 4 parts (high and low halves)
-			and using 4 multiplications (with additions and carry correctness)
-		*/
-
-		uint_ a_;
-		uint_ b_;
-		uint_ res_high1, res_high2;
-		uint_ res_low1,  res_low2;
-		
-		a_.u = a;
-		b_.u = b;
-
-		/*
-			the multiplication is as follows (schoolbook algorithm with O(n^2) ):
-
-                                                   32 bits         32 bits
-
-                                             +--------------------------------+
-                                             |   a_.u_.high   |   a_.u_.low   |
-                                             +--------------------------------+
-                                             |   b_.u_.high   |   b_.u_.low   |
-            +--------------------------------+--------------------------------+
-            |           res_high1.u          |           res_low1.u           |
-            +--------------------------------+--------------------------------+
-            |           res_high2.u          |           res_low2.u           |
-            +--------------------------------+--------------------------------+
-
-                          64 bits                          64 bits
-		*/
-
-
-		uint_ temp;
-
-		res_low1.u        = uint(b_.u_.low) * uint(a_.u_.low);
-
-		temp.u            = uint(res_low1.u_.high) + uint(b_.u_.low) * uint(a_.u_.high);
-		res_low1.u_.high  = temp.u_.low;
-		res_high1.u_.low  = temp.u_.high;
-		res_high1.u_.high = 0;
-
-		res_low2.u_.low   = 0;
-		temp.u            = uint(b_.u_.high) * uint(a_.u_.low);
-		res_low2.u_.high  = temp.u_.low;
-
-		res_high2.u       = uint(b_.u_.high) * uint(a_.u_.high) + uint(temp.u_.high);
-
-		uint c = AddTwoWords(res_low1.u, res_low2.u, 0, &res_low2.u);
-		AddTwoWords(res_high1.u, res_high2.u, c, &res_high2.u);                 // there is no carry from here
-
-		*result_high = res_high2.u;
-		*result_low  = res_low2.u;
-
-	#endif
-	}
-
-
-
-
-	/*!
-	 *
-	 * Division
-	 *
-	 *
-	*/
-	
-
-	/*!
-		this method calculates 64bits word a:b / 32bits c (a higher, b lower word)
-		r = a:b / c and rest - remainder
-		
-		*
-		* WARNING:
-		* the c has to be suitably large for the result being keeped in one word,
-		* if c is equal zero there'll be a hardware interruption (0)
-		* and probably the end of your program
-		*
-	*/
-	template<uint value_size>
-	void UInt<value_size>::DivTwoWords(uint a, uint b, uint c, uint * r, uint * rest)
-	{
-	// (a < c ) for the result to be one word
-	TTMATH_ASSERT( c != 0 && a < c )
-
-	#ifdef TTMATH_PLATFORM32
-
-		union
-		{
-			struct
-			{
-				uint low;  // 32 bits
-				uint high; // 32 bits
-			} u_;
-
-			ulint u;       // 64 bits
-		} ab;
-
-		ab.u_.high = a;
-		ab.u_.low  = b;
-
-		*r    = uint(ab.u / c);
-		*rest = uint(ab.u % c);
-
-	#else
-
-		uint_ c_;
-		c_.u = c;
-
-
-		if( a == 0 )
-		{
-			*r    = b / c;
-			*rest = b % c;
-		}
-		else
-		if( c_.u_.high == 0 )
-		{
-			// higher half of 'c' is zero
-			// then higher half of 'a' is zero too (look at the asserts at the beginning - 'a' is smaller than 'c')
-			uint_ a_, b_, res_, temp1, temp2;
-
-			a_.u = a;
-			b_.u = b;
-
-			temp1.u_.high = a_.u_.low;
-			temp1.u_.low  = b_.u_.high;
-
-			res_.u_.high  = (unsigned int)(temp1.u / c);
-			temp2.u_.high = (unsigned int)(temp1.u % c);
-			temp2.u_.low  = b_.u_.low;
-			
-			res_.u_.low  = (unsigned int)(temp2.u / c);
-			*rest        = temp2.u % c;
-
-			*r = res_.u;
-		}
-		else
-		{
-			return DivTwoWords2(a, b, c,  r,  rest);
-		}
-
-	#endif
-	}
-
-
-#ifdef TTMATH_PLATFORM64
-
-
-	/*!
-		this method is available only on 64bit platforms
-		
-		the same algorithm like the third division algorithm in ttmathuint.h
-		but now with the radix=2^32
-	*/
-	template<uint value_size>
-	void UInt<value_size>::DivTwoWords2(uint a, uint b, uint c, uint * r, uint * rest)
-	{
-		// a is not zero
-		// c_.u_.high is not zero
-
-		uint_ a_, b_, c_, u_, q_;
-		unsigned int u3; // 32 bit
-
-		a_.u  = a;
-		b_.u  = b;
-		c_.u  = c;
-
-		// normalizing
-		uint d = DivTwoWordsNormalize(a_, b_, c_);
-
-		// loop from j=1 to j=0
-		//   the first step (for j=2) is skipped because our result is only in one word,
-		//   (first 'q' were 0 and nothing would be changed)
-		u_.u_.high = a_.u_.high;
-		u_.u_.low  = a_.u_.low;
-		u3         = b_.u_.high;
-		q_.u_.high = DivTwoWordsCalculate(u_, u3, c_);
-		MultiplySubtract(u_, u3, q_.u_.high, c_);
-		
-		u_.u_.high = u_.u_.low;
-		u_.u_.low  = u3;
-		u3         = b_.u_.low;
-		q_.u_.low  = DivTwoWordsCalculate(u_, u3, c_);
-		MultiplySubtract(u_, u3, q_.u_.low, c_);
-
-		*r = q_.u;
-
-		// unnormalizing for the remainder
-		u_.u_.high = u_.u_.low;
-		u_.u_.low  = u3;
-		*rest = DivTwoWordsUnnormalize(u_.u, d);
-	}
-
-
-
-	
-	template<uint value_size>
-	uint UInt<value_size>::DivTwoWordsNormalize(uint_ & a_, uint_ & b_, uint_ & c_)
-	{
-		uint d = 0;
-
-		for( ; (c_.u & TTMATH_UINT_HIGHEST_BIT) == 0 ; ++d )
-		{
-			c_.u = c_.u << 1;
-			
-			uint bc = b_.u & TTMATH_UINT_HIGHEST_BIT; // carry from 'b'
-
-			b_.u = b_.u << 1;
-			a_.u = a_.u << 1; // carry bits from 'a' are simply skipped 
-
-			if( bc )
-				a_.u = a_.u | 1;
-		}
-
-	return d;
-	}
-
-
-	template<uint value_size>
-	uint UInt<value_size>::DivTwoWordsUnnormalize(uint u, uint d)
-	{
-		if( d == 0 )
-			return u;
-
-		u = u >> d;
-
-	return u;
-	}
-
-
-	template<uint value_size>
-	unsigned int UInt<value_size>::DivTwoWordsCalculate(uint_ u_, unsigned int u3, uint_ v_)
-	{
-	bool next_test;
-	uint_ qp_, rp_, temp_;
-
-		qp_.u = u_.u / uint(v_.u_.high);
-		rp_.u = u_.u % uint(v_.u_.high);
-
-		TTMATH_ASSERT( qp_.u_.high==0 || qp_.u_.high==1 )
-
-		do
-		{
-			bool decrease = false;
-
-			if( qp_.u_.high == 1 )
-				decrease = true;
-			else
-			{
-				temp_.u_.high = rp_.u_.low;
-				temp_.u_.low  = u3;
-
-				if( qp_.u * uint(v_.u_.low) > temp_.u )
-					decrease = true;
-			}
-			
-			next_test = false;
-
-			if( decrease )
-			{
-				--qp_.u;
-				rp_.u += v_.u_.high;
-
-				if( rp_.u_.high == 0 ) 
-					next_test = true;
-			}
-		}
-		while( next_test );
-
-	return qp_.u_.low;
-	}
-
-
-	template<uint value_size>
-	void UInt<value_size>::MultiplySubtract(uint_ & u_, unsigned int & u3, unsigned int & q, uint_ v_)
-	{
-	uint_ temp_;
-		
-		uint res_high;
-		uint res_low;
-
-		MulTwoWords(v_.u, q, &res_high, &res_low);
-
-		uint_ sub_res_high_;
-		uint_ sub_res_low_;
-
-		temp_.u_.high = u_.u_.low;
-		temp_.u_.low  = u3;
-
-		uint c = SubTwoWords(temp_.u, res_low, 0, &sub_res_low_.u);
-			
-		temp_.u_.high = 0;
-		temp_.u_.low  = u_.u_.high;
-		c = SubTwoWords(temp_.u, res_high, c, &sub_res_high_.u);
-
-		if( c )
-		{
-			--q;
-
-			c = AddTwoWords(sub_res_low_.u, v_.u, 0, &sub_res_low_.u);
-			AddTwoWords(sub_res_high_.u, 0, c, &sub_res_high_.u);
-		}
-
-		u_.u_.high = sub_res_high_.u_.low;
-		u_.u_.low  = sub_res_low_.u_.high;
-		u3         = sub_res_low_.u_.low;
-	}
-
-#endif // #ifdef TTMATH_PLATFORM64
-
-
-
-} //namespace
-
-
-#endif //ifdef TTMATH_NOASM
-#endif
-
-
-
-
diff --git a/include/geos/algorithm/ttmath/ttmathuint_x86.h b/include/geos/algorithm/ttmath/ttmathuint_x86.h
deleted file mode 100644
index 811b225..0000000
--- a/include/geos/algorithm/ttmath/ttmathuint_x86.h
+++ /dev/null
@@ -1,1620 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2009, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef headerfilettmathuint_x86
-#define headerfilettmathuint_x86
-
-
-/*!
-	\file ttmathuint_x86.h
-    \brief template class UInt<uint> with assembler code for 32bit x86 processors
-
-	this file is included at the end of ttmathuint.h
-*/
-
-
-#ifndef TTMATH_NOASM
-#ifdef TTMATH_PLATFORM32
-
-
-
-
-
-/*!
-    \brief a namespace for the TTMath library
-*/
-namespace ttmath
-{
-
-	/*!
-		returning the string represents the currect type of the library
-
-		we have following types:
-		-  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)
-		-  asm_gcc_32  - with asm code designed for GCC (32 bits)
-		-  asm_vc_64   - with asm for VC (64 bit)
-		-  asm_gcc_64  - with asm for GCC (64 bit)
-		-  no_asm_32   - pure C++ version (32 bit) - without any asm code
-		-  no_asm_64   - pure C++ version (64 bit) - without any asm code
-	*/
-	template<uint value_size>
-	const char * UInt<value_size>::LibTypeStr()
-	{
-		#ifndef __GNUC__
-			static const char info[] = "asm_vc_32";
-		#endif		
-
-		#ifdef __GNUC__
-			static const char info[] = "asm_gcc_32";
-		#endif
-
-	return info;
-	}
-
-
-	/*!
-		returning the currect type of the library
-	*/
-	template<uint value_size>
-	LibTypeCode UInt<value_size>::LibType()
-	{
-		#ifndef __GNUC__
-			LibTypeCode info = asm_vc_32;
-		#endif		
-
-		#ifdef __GNUC__
-			LibTypeCode info = asm_gcc_32;
-		#endif
-
-	return info;
-	}
-
-
-
-	/*!
-	*
-	*	basic mathematic functions
-	*
-	*/
-
-
-	/*!
-		adding ss2 to the this and adding carry if it's defined
-		(this = this + ss2 + c)
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it has been)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Add(const UInt<value_size> & ss2, uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint * p2 = const_cast<uint*>(ss2.table);
-
-		// we don't have to use TTMATH_REFERENCE_ASSERT here
-		// this algorithm doesn't require it
-
-		#ifndef __GNUC__
-			
-			//	this part might be compiled with for example visual c
-
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-				push esi
-
-				mov ecx,[b]
-				
-				mov ebx,[p1]
-				mov esi,[p2]
-
-				xor edx,edx          // edx=0
-				mov eax,[c]
-				neg eax              // CF=1 if rax!=0 , CF=0 if rax==0
-
-			ttmath_loop:
-				mov eax,[esi+edx*4]
-				adc [ebx+edx*4],eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx
-				mov [c], ecx
-
-				pop esi
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-
-
-
-		#endif		
-			
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-			//	this part should be compiled with gcc
-			
-			__asm__ __volatile__(
-
-				"xorl %%edx, %%edx				\n"
-				"negl %%eax						\n"  // CF=1 if rax!=0 , CF=0 if rax==0
-
-			"1:									\n"
-				"movl (%%esi,%%edx,4), %%eax	\n"
-				"adcl %%eax, (%%ebx,%%edx,4)	\n"
-			
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-			"jnz 1b								\n"
-
-				"adc %%ecx, %%ecx				\n"
-
-				: "=c" (c), "=a" (dummy), "=d" (dummy2)
-				: "0" (b),  "1" (c), "b" (p1), "S" (p2)
-				: "cc", "memory" );
-		#endif
-
-		TTMATH_LOGC("UInt::Add", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		adding one word (at a specific position)
-		and returning a carry (if it has been)
-
-		e.g.
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;
-
-		and we call:
-
-			AddInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 + 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddInt(uint value, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size )
-
-		#ifndef __GNUC__
-
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-
-				mov ecx, [b]
-				sub ecx, [index]				
-
-				mov edx, [index]
-				mov ebx, [p1]
-
-				mov eax, [value]
-
-			ttmath_loop:
-				add [ebx+edx*4], eax
-			jnc ttmath_end
-
-				mov eax, 1
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-			ttmath_end:
-				setc al
-				movzx edx, al
-				mov [c], edx
-
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-
-		#endif		
-			
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__ __volatile__(
-			
-				"subl %%edx, %%ecx 				\n"
-
-			"1:									\n"
-				"addl %%eax, (%%ebx,%%edx,4)	\n"
-			"jnc 2f								\n"
-				
-				"movl $1, %%eax					\n"
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%edx				\n"
-
-				: "=d" (c),    "=a" (dummy), "=c" (dummy2)
-				: "0" (index), "1" (value),  "2" (b), "b" (p1)
-				: "cc", "memory" );
-
-		#endif
-	
-		TTMATH_LOGC("UInt::AddInt", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		adding only two unsigned words to the existing value
-		and these words begin on the 'index' position
-		(it's used in the multiplication algorithm 2)
-
-		index should be equal or smaller than value_size-2 (index <= value_size-2)
-		x1 - lower word, x2 - higher word
-
-		for example if we've got value_size equal 4 and:
-
-			table[0] = 3
-			table[1] = 4
-			table[2] = 5
-			table[3] = 6
-
-		then let
-
-			x1 = 10
-			x2 = 20
-
-		and
-
-			index = 1
-
-		the result of this method will be:
-
-			table[0] = 3
-			table[1] = 4 + x1 = 14
-			table[2] = 5 + x2 = 25
-			table[3] = 6
-		
-		and no carry at the end of table[3]
-
-		(of course if there was a carry in table[2](5+20) then 
-		this carry would be passed to the table[3] etc.)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddTwoInts(uint x2, uint x1, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size - 1 )
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-
-				mov ecx, [b]
-				sub ecx, [index]				
-
-				mov ebx, [p1]
-				mov edx, [index]
-
-				mov eax, [x1]
-				add [ebx+edx*4], eax
-				inc edx
-				dec ecx
-
-				mov eax, [x2]
-			
-			ttmath_loop:
-				adc [ebx+edx*4], eax
-			jnc ttmath_end
-
-				mov eax, 0
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-			ttmath_end:
-				setc al
-				movzx edx, al
-				mov [c], edx
-				
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-
-			}
-		#endif		
-			
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__ __volatile__(
-			
-				"subl %%edx, %%ecx 				\n"
-				
-				"addl %%esi, (%%ebx,%%edx,4) 	\n"
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-
-			"1:									\n"
-				"adcl %%eax, (%%ebx,%%edx,4)	\n"
-			"jnc 2f								\n"
-
-				"mov $0, %%eax					\n"
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%eax				\n"
-
-				: "=a" (c), "=c" (dummy), "=d" (dummy2)
-				: "0" (x2), "1" (b),      "2" (index), "b" (p1), "S" (x1)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::AddTwoInts", c)
-	
-	return c;
-	}
-
-
-
-	/*!
-		this static method addes one vector to the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		ss1 points to the first (larger) vector
-		ss2 points to the second vector
-		ss1_size - size of the ss1 (and size of the result too)
-		ss2_size - size of the ss2
-		result - is the result vector (which has size the same as ss1: ss1_size)
-
-		Example:  ss1_size is 5, ss2_size is 3
-		ss1:      ss2:   result (output):
-		  5        1         5+1
-		  4        3         4+3
-		  2        7         2+7
-		  6                  6
-		  9                  9
-	  of course the carry is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-
-		uint rest = ss1_size - ss2_size;
-		uint c;
-
-		#ifndef __GNUC__
-
-			//	this part might be compiled with for example visual c
-			__asm
-			{
-				pushad
-
-				mov ecx, [ss2_size]
-				xor edx, edx               // edx = 0, cf = 0
-
-				mov esi, [ss1]
-				mov ebx, [ss2]
-				mov edi, [result]
-
-			ttmath_loop:
-				mov eax, [esi+edx*4]
-				adc eax, [ebx+edx*4]
-				mov [edi+edx*4], eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx             // ecx has the cf state
-
-				mov ebx, [rest]
-				or ebx, ebx
-				jz ttmath_end
-				
-				xor ebx, ebx             // ebx = 0
-				neg ecx                  // setting cf from ecx
-				mov ecx, [rest]          // ecx is != 0
-			
-			ttmath_loop2:
-				mov eax, [esi+edx*4]
-				adc eax, ebx 
-				mov [edi+edx*4], eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop2
-
-				adc ecx, ecx
-
-			ttmath_end:
-				mov [c], ecx
-
-				popad
-			}
-
-		#endif		
-			
-
-		#ifdef __GNUC__
-			
-		//	this part should be compiled with gcc
-		uint dummy1, dummy2, dummy3;
-
-			__asm__ __volatile__(
-				"push %%edx							\n"
-				"xor %%edx, %%edx					\n"   // edx = 0, cf = 0
-			"1:										\n"
-				"mov (%%esi,%%edx,4), %%eax			\n"
-				"adc (%%ebx,%%edx,4), %%eax			\n"
-				"mov %%eax, (%%edi,%%edx,4)			\n"
-
-				"inc %%edx							\n"
-				"dec %%ecx							\n"
-			"jnz 1b									\n"
-
-				"adc %%ecx, %%ecx					\n"   // ecx has the cf state
-				"pop %%eax							\n"   // eax = rest
-
-				"or %%eax, %%eax					\n"
-				"jz 3f								\n"
-				
-				"xor %%ebx, %%ebx					\n"   // ebx = 0
-				"neg %%ecx							\n"   // setting cf from ecx
-				"mov %%eax, %%ecx					\n"   // ecx=rest and is != 0
-			"2:										\n"
-				"mov (%%esi, %%edx, 4), %%eax		\n"
-				"adc %%ebx, %%eax 					\n"
-				"mov %%eax, (%%edi, %%edx, 4)		\n"
-
-				"inc %%edx							\n"
-				"dec %%ecx							\n"
-			"jnz 2b									\n"
-
-				"adc %%ecx, %%ecx					\n"
-			"3:										\n"
-
-				: "=a" (dummy1), "=b" (dummy2), "=c" (c),       "=d" (dummy3)
-				:                "1" (ss2),     "2" (ss2_size), "3" (rest),   "S" (ss1),  "D" (result)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_VECTOR_LOGC("UInt::AddVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-	/*!
-		subtracting ss2 from the 'this' and subtracting
-		carry if it has been defined
-		(this = this - ss2 - c)
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it has been)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Sub(const UInt<value_size> & ss2, uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint * p2 = const_cast<uint*>(ss2.table);
-
-		// we don't have to use TTMATH_REFERENCE_ASSERT here
-		// this algorithm doesn't require it
-
-		#ifndef __GNUC__
-
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-				push esi
-
-				mov ecx,[b]
-				
-				mov ebx,[p1]
-				mov esi,[p2]
-
-				xor edx,edx          // edx=0
-				mov eax,[c]
-				neg eax              // CF=1 if rax!=0 , CF=0 if rax==0
-
-			ttmath_loop:
-				mov eax,[esi+edx*4]
-				sbb [ebx+edx*4],eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx
-				mov [c], ecx
-
-				pop esi
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__  __volatile__(
-
-				"xorl %%edx, %%edx				\n"
-				"negl %%eax						\n"  // CF=1 if rax!=0 , CF=0 if rax==0
-
-			"1:									\n"
-				"movl (%%esi,%%edx,4), %%eax	\n"
-				"sbbl %%eax, (%%ebx,%%edx,4)	\n"
-			
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-			"jnz 1b								\n"
-
-				"adc %%ecx, %%ecx				\n"
-
-				: "=c" (c), "=a" (dummy), "=d" (dummy2)
-				: "0" (b),  "1" (c), "b" (p1), "S" (p2)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Sub", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method subtracts one word (at a specific position)
-		and returns a carry (if it was)
-
-		e.g.
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;	
-
-		and we call:
-
-			SubInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 - 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubInt(uint value, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size )
-
-		#ifndef __GNUC__
-
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-
-				mov ecx, [b]
-				sub ecx, [index]				
-
-				mov edx, [index]
-				mov ebx, [p1]
-
-				mov eax, [value]
-
-			ttmath_loop:
-				sub [ebx+edx*4], eax
-			jnc ttmath_end
-
-				mov eax, 1
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-			ttmath_end:
-				setc al
-				movzx edx, al
-				mov [c], edx
-
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-
-		#endif		
-			
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__ __volatile__(
-			
-				"subl %%edx, %%ecx 				\n"
-
-			"1:									\n"
-				"subl %%eax, (%%ebx,%%edx,4)	\n"
-			"jnc 2f								\n"
-				
-				"movl $1, %%eax					\n"
-				"incl %%edx						\n"
-				"decl %%ecx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%edx				\n"
-
-				: "=d" (c),    "=a" (dummy), "=c" (dummy2)
-				: "0" (index), "1" (value),  "2" (b), "b" (p1)
-				: "cc", "memory" );
-
-		#endif
-		
-		TTMATH_LOGC("UInt::SubInt", c)
-	
-	return c;
-	}
-
-
-
-	/*!
-		this static method subtractes one vector from the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		ss1 points to the first (larger) vector
-		ss2 points to the second vector
-		ss1_size - size of the ss1 (and size of the result too)
-		ss2_size - size of the ss2
-		result - is the result vector (which has size the same as ss1: ss1_size)
-
-		Example:  ss1_size is 5, ss2_size is 3
-		ss1:      ss2:   result (output):
-		  5        1         5-1
-		  4        3         4-3
-		  2        7         2-7
-		  6                  6-1  (the borrow from previous item)
-		  9                  9
-		              return (carry): 0
-	  of course the carry (borrow) is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-
-		uint rest = ss1_size - ss2_size;
-		uint c;
-
-		#ifndef __GNUC__
-			
-			//	this part might be compiled with for example visual c
-
-			/*
-				the asm code is nearly the same as in AddVector
-				only two instructions 'adc' are changed to 'sbb'
-			*/
-			__asm
-			{
-				pushad
-
-				mov ecx, [ss2_size]
-				xor edx, edx               // edx = 0, cf = 0
-
-				mov esi, [ss1]
-				mov ebx, [ss2]
-				mov edi, [result]
-
-			ttmath_loop:
-				mov eax, [esi+edx*4]
-				sbb eax, [ebx+edx*4]
-				mov [edi+edx*4], eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx             // ecx has the cf state
-
-				mov ebx, [rest]
-				or ebx, ebx
-				jz ttmath_end
-				
-				xor ebx, ebx             // ebx = 0
-				neg ecx                  // setting cf from ecx
-				mov ecx, [rest]          // ecx is != 0
-
-			ttmath_loop2:
-				mov eax, [esi+edx*4]
-				sbb eax, ebx 
-				mov [edi+edx*4], eax
-
-				inc edx
-				dec ecx
-			jnz ttmath_loop2
-
-				adc ecx, ecx
-
-			ttmath_end:
-				mov [c], ecx
-
-				popad
-			}
-
-		#endif		
-			
-
-		#ifdef __GNUC__
-			
-		//	this part should be compiled with gcc
-		uint dummy1, dummy2, dummy3;
-
-			__asm__ __volatile__(
-				"push %%edx							\n"
-				"xor %%edx, %%edx					\n"   // edx = 0, cf = 0
-			"1:										\n"
-				"mov (%%esi,%%edx,4), %%eax			\n"
-				"sbb (%%ebx,%%edx,4), %%eax			\n"
-				"mov %%eax, (%%edi,%%edx,4)			\n"
-
-				"inc %%edx							\n"
-				"dec %%ecx							\n"
-			"jnz 1b									\n"
-
-				"adc %%ecx, %%ecx					\n"   // ecx has the cf state
-				"pop %%eax							\n"   // eax = rest
-
-				"or %%eax, %%eax					\n"
-				"jz 3f								\n"
-				
-				"xor %%ebx, %%ebx					\n"   // ebx = 0
-				"neg %%ecx							\n"   // setting cf from ecx
-				"mov %%eax, %%ecx					\n"   // ecx=rest and is != 0
-			"2:										\n"
-				"mov (%%esi, %%edx, 4), %%eax		\n"
-				"sbb %%ebx, %%eax 					\n"
-				"mov %%eax, (%%edi, %%edx, 4)		\n"
-
-				"inc %%edx							\n"
-				"dec %%ecx							\n"
-			"jnz 2b									\n"
-
-				"adc %%ecx, %%ecx					\n"
-			"3:										\n"
-
-				: "=a" (dummy1), "=b" (dummy2), "=c" (c),       "=d" (dummy3)
-				:                "1" (ss2),     "2" (ss2_size), "3" (rest),   "S" (ss1),  "D" (result)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_VECTOR_LOGC("UInt::SubVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bit* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2_one(1) there'll be 010100001 and Rcl2_one returns 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2_one(uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push ebx
-				push ecx
-				push edx
-
-				mov ebx, [p1]
-				xor edx, edx
-				mov ecx, [c]
-				neg ecx
-				mov ecx, [b]
-
-			ttmath_loop:
-				rcl dword ptr [ebx+edx*4], 1
-				
-				inc edx
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx
-				mov [c], ecx
-				
-				pop edx
-				pop ecx
-				pop ebx
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-		__asm__  __volatile__(
-
-			"xorl %%edx, %%edx			\n"   // edx=0
-			"negl %%eax					\n"   // CF=1 if eax!=0 , CF=0 if eax==0
-
-		"1:								\n"
-			"rcll $1, (%%ebx, %%edx, 4)	\n"
-
-			"incl %%edx					\n"
-			"decl %%ecx					\n"
-		"jnz 1b							\n"
-
-			"adcl %%ecx, %%ecx			\n"
-
-			: "=c" (c), "=a" (dummy), "=d" (dummy2)
-			: "0" (b),  "1" (c), "b" (p1)
-			: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcl2_one", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method moves all bits into the right hand side
-		c -> this -> return value
-
-		the highest *bit* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2_one(1) there'll be 100000001 and Rcr2_one returns 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2_one(uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push ebx
-				push ecx
-
-				mov ebx, [p1]
-				mov ecx, [c]
-				neg ecx
-				mov ecx, [b]
-
-			ttmath_loop:
-				rcr dword ptr [ebx+ecx*4-4], 1
-				
-				dec ecx
-			jnz ttmath_loop
-
-				adc ecx, ecx
-				mov [c], ecx
-
-				pop ecx
-				pop ebx
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-		__asm__  __volatile__(
-
-			"negl %%eax						\n"   // CF=1 if eax!=0 , CF=0 if eax==0
-
-		"1:									\n"
-			"rcrl $1, -4(%%ebx, %%ecx, 4)	\n"
-
-			"decl %%ecx						\n"
-		"jnz 1b								\n"
-
-			"adcl %%ecx, %%ecx				\n"
-
-			: "=c" (c), "=a" (dummy)
-			: "0" (b),  "1" (c), "b" (p1)
-			: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcr2_one", c)
-
-	return c;
-	}
-
-
-
-#ifdef _MSC_VER
-#pragma warning (disable : 4731)
-//warning C4731: frame pointer register 'ebp' modified by inline assembly code
-#endif
-	
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bits* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2(3, 1) there'll be 010000111 and Rcl2 returns 1
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2(uint bits, uint c)
-	{
-	TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-		
-	uint b = value_size;
-	uint * p1 = table;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-				push esi
-				push edi
-				push ebp
-
-				mov edi, [b]
-
-				mov ecx, 32
-				sub ecx, [bits]
-				mov edx, -1
-				shr edx, cl
-
-				mov ecx, [bits]
-				mov ebx, [p1]
-				mov eax, [c]
-
-				mov ebp, edx         // ebp = mask (modified ebp - don't read/write to variables)
-
-				xor edx, edx         // edx = 0
-				mov esi, edx
-				or eax, eax
-				cmovnz esi, ebp      // if(c) esi=mask else esi=0
-
-			ttmath_loop:
-				rol dword ptr [ebx+edx*4], cl
-				
-				mov eax, [ebx+edx*4]
-				and eax, ebp
-				xor [ebx+edx*4], eax // clearing bits
-				or [ebx+edx*4], esi  // saving old value
-				mov esi, eax
-
-				inc edx
-				dec edi
-			jnz ttmath_loop
-
-				pop ebp              // restoring ebp
-
-				and eax, 1
-				mov [c], eax
-
-				pop edi
-				pop esi
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2, dummy3;
-
-		__asm__  __volatile__(
-
-			"push %%ebp						\n"
-			
-			"movl %%ecx, %%esi				\n"
-			"movl $32, %%ecx				\n"
-			"subl %%esi, %%ecx				\n"    // ecx = 32 - bits
-			"movl $-1, %%edx				\n"    // edx = -1 (all bits set to one)
-			"shrl %%cl, %%edx				\n"    // shifting (0 -> edx -> cf)  (cl times)
-			"movl %%edx, %%ebp				\n"    // ebp = edx = mask
-			"movl %%esi, %%ecx				\n"
-
-			"xorl %%edx, %%edx				\n"
-			"movl %%edx, %%esi				\n"
-			"orl %%eax, %%eax				\n"
-			"cmovnz %%ebp, %%esi			\n"    // if(c) esi=mask else esi=0
-
-		"1:									\n"
-			"roll %%cl, (%%ebx,%%edx,4)		\n"
-
-			"movl (%%ebx,%%edx,4), %%eax	\n"
-			"andl %%ebp, %%eax				\n"
-			"xorl %%eax, (%%ebx,%%edx,4)	\n"
-			"orl  %%esi, (%%ebx,%%edx,4)	\n"
-			"movl %%eax, %%esi				\n"
-			
-			"incl %%edx						\n"
-			"decl %%edi						\n"
-		"jnz 1b								\n"
-			
-			"and $1, %%eax					\n"
-
-			"pop %%ebp						\n"
-
-			: "=a" (c), "=D" (dummy), "=S" (dummy2), "=d" (dummy3)
-			: "0" (c),  "1" (b), "b" (p1), "c" (bits)
-			: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcl2", c)
-
-	return c;
-	}
-
-
-
-
-	/*!
-		this method moves all bits into the right hand side
-		C -> this -> return value
-
-		the highest *bits* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2(2, 1) there'll be 110000000 and Rcr2 returns 1
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2(uint bits, uint c)
-	{
-	TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-
-	uint b = value_size;
-	uint * p1 = table;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push ebx
-				push ecx
-				push edx
-				push esi
-				push edi
-				push ebp
-
-				mov edi, [b]
-
-				mov ecx, 32
-				sub ecx, [bits]
-				mov edx, -1
-				shl edx, cl
-
-				mov ecx, [bits]
-				mov ebx, [p1]
-				mov eax, [c]
-
-				mov ebp, edx         // ebp = mask (modified ebp - don't read/write to variables)
-
-				xor edx, edx         // edx = 0
-				mov esi, edx
-				add edx, edi
-				dec edx              // edx is pointing at the end of the table (on last word)
-				or eax, eax
-				cmovnz esi, ebp      // if(c) esi=mask else esi=0
-
-			ttmath_loop:
-				ror dword ptr [ebx+edx*4], cl
-				
-				mov eax, [ebx+edx*4]
-				and eax, ebp 
-				xor [ebx+edx*4], eax // clearing bits
-				or [ebx+edx*4], esi  // saving old value
-				mov esi, eax
-
-				dec edx
-				dec edi
-			jnz ttmath_loop
-
-				pop ebp              // restoring ebp
-
-				rol eax, 1           // 31bit will be first
-				and eax, 1  
-				mov [c], eax
-
-				pop edi
-				pop esi
-				pop edx
-				pop ecx
-				pop ebx
-				pop eax
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2, dummy3;
-
-			__asm__  __volatile__(
-
-			"push %%ebp						\n"
-			
-			"movl %%ecx, %%esi				\n"
-			"movl $32, %%ecx				\n"
-			"subl %%esi, %%ecx				\n"    // ecx = 32 - bits
-			"movl $-1, %%edx				\n"    // edx = -1 (all bits set to one)
-			"shll %%cl, %%edx				\n"    // shifting (cf <- edx <- 0)  (cl times)
-			"movl %%edx, %%ebp				\n"    // ebp = edx = mask
-			"movl %%esi, %%ecx				\n"
-
-			"xorl %%edx, %%edx				\n"
-			"movl %%edx, %%esi				\n"
-			"addl %%edi, %%edx				\n"
-			"decl %%edx						\n"    // edx is pointing at the end of the table (on last word)
-			"orl %%eax, %%eax				\n"
-			"cmovnz %%ebp, %%esi			\n"    // if(c) esi=mask else esi=0
-
-		"1:									\n"
-			"rorl %%cl, (%%ebx,%%edx,4)		\n"
-
-			"movl (%%ebx,%%edx,4), %%eax	\n"
-			"andl %%ebp, %%eax				\n"
-			"xorl %%eax, (%%ebx,%%edx,4)	\n"
-			"orl  %%esi, (%%ebx,%%edx,4)	\n"
-			"movl %%eax, %%esi				\n"
-			
-			"decl %%edx						\n"
-			"decl %%edi						\n"
-		"jnz 1b								\n"
-			
-			"roll $1, %%eax					\n"
-			"andl $1, %%eax					\n"
-
-			"pop %%ebp						\n"
-
-			: "=a" (c), "=D" (dummy), "=S" (dummy2), "=d" (dummy3)
-			: "0" (c),  "1" (b), "b" (p1), "c" (bits)
-			: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcr2", c)
-
-	return c;
-	}
-
-
-#ifdef _MSC_VER
-#pragma warning (default : 4731)
-#endif
-
-
-	/*
-		this method returns the number of the highest set bit in one 32-bit word
-		if the 'x' is zero this method returns '-1'
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLeadingBitInWord(uint x)
-	{
-	sint result;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push edx
-
-				mov edx,-1
-				bsr eax,[x]
-				cmovz eax,edx
-				mov [result], eax
-
-				pop edx
-				pop eax
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-				__asm__ (
-
-				"movl $-1, %1          \n"
-				"bsrl %2, %0           \n"
-				"cmovz %1, %0          \n"
-
-				: "=r" (result), "=&r" (dummy)
-				: "r" (x)
-				: "cc" );
-
-		#endif
-
-	return result;
-	}
-
-
-
-	/*
-		this method returns the number of the smallest set bit in one 32-bit word
-		if the 'x' is zero this method returns '-1'
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLowestBitInWord(uint x)
-	{
-	sint result;
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push edx
-
-				mov edx,-1
-				bsf eax,[x]
-				cmovz eax,edx
-				mov [result], eax
-
-				pop edx
-				pop eax
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-				__asm__ (
-
-				"movl $-1, %1          \n"
-				"bsfl %2, %0           \n"
-				"cmovz %1, %0          \n"
-
-				: "=r" (result), "=&r" (dummy)
-				: "r" (x)
-				: "cc" );
-
-		#endif
-
-	return result;
-	}
-
-
-
-	/*!
-		this method sets a special bit in the 'value'
-		and returns the last state of the bit (zero or one)
-
-		bit is from <0,31>
-		e.g.
-
-			uint x = 100;
-			uint bit = SetBitInWord(x, 3);
-			now: x = 108 and bit = 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SetBitInWord(uint & value, uint bit)
-	{
-		TTMATH_ASSERT( bit < TTMATH_BITS_PER_UINT )
-
-		uint old_bit;
-		uint v = value;
-
-		#ifndef __GNUC__
-			__asm
-			{
-			push ebx
-			push eax
-
-			mov eax, [v]
-			mov ebx, [bit]
-			bts eax, ebx
-			mov [v], eax
-
-			setc bl
-			movzx ebx, bl
-			mov [old_bit], ebx
-
-			pop eax
-			pop ebx
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-			__asm__ (
-
-			"btsl %%ebx, %%eax		\n"
-			"setc %%bl				\n"
-			"movzx %%bl, %%ebx		\n"
-			
-			: "=a" (v), "=b" (old_bit)
-			: "0" (v),  "1" (bit)
-			: "cc" );
-
-		#endif
-
-		value = v;
-
-	return old_bit;
-	}
-
-
-
-
-	/*!
-		multiplication: result_high:result_low = a * b
-		result_high - higher word of the result
-		result_low  - lower word of the result
-	
-		this methos never returns a carry
-		this method is used in the second version of the multiplication algorithms
-	*/
-	template<uint value_size>
-	void UInt<value_size>::MulTwoWords(uint a, uint b, uint * result_high, uint * result_low)
-	{
-	/*
-		we must use these temporary variables in order to inform the compilator
-		that value pointed with result1 and result2 has changed
-
-		this has no effect in visual studio but it's useful when
-		using gcc and options like -Ox
-	*/
-	uint result1_;
-	uint result2_;
-
-		#ifndef __GNUC__
-
-			__asm
-			{
-			push eax
-			push edx
-
-			mov eax, [a]
-			mul dword ptr [b]
-
-			mov [result2_], edx
-			mov [result1_], eax
-
-			pop edx
-			pop eax
-			}
-
-		#endif
-
-
-		#ifdef __GNUC__
-
-		__asm__ (
-		
-			"mull %%edx			\n"
-
-			: "=a" (result1_), "=d" (result2_)
-			: "0" (a),         "1" (b)
-			: "cc" );
-
-		#endif
-
-
-		*result_low  = result1_;
-		*result_high = result2_;
-	}
-
-
-
-
-
-	/*!
-	 *
-	 * Division
-	 *
-	 *
-	*/
-	
-
-
-
-	/*!
-		this method calculates 64bits word a:b / 32bits c (a higher, b lower word)
-		r = a:b / c and rest - remainder
-
-		*
-		* WARNING:
-		* if r (one word) is too small for the result or c is equal zero
-		* there'll be a hardware interruption (0)
-		* and probably the end of your program
-		*
-	*/
-	template<uint value_size>
-	void UInt<value_size>::DivTwoWords(uint a, uint b, uint c, uint * r, uint * rest)
-	{
-		uint r_;
-		uint rest_;
-		/*
-			these variables have similar meaning like those in
-			the multiplication algorithm MulTwoWords
-		*/
-
-		TTMATH_ASSERT( c != 0 )
-
-		#ifndef __GNUC__
-			__asm
-			{
-				push eax
-				push edx
-
-				mov edx, [a]
-				mov eax, [b]
-				div dword ptr [c]
-
-				mov [r_], eax
-				mov [rest_], edx
-
-				pop edx
-				pop eax
-			}
-		#endif
-
-
-		#ifdef __GNUC__
-		
-			__asm__ (
-
-			"divl %%ecx				\n"
-
-			: "=a" (r_), "=d" (rest_)
-			: "0" (b),   "1" (a), "c" (c)
-			: "cc" );
-
-		#endif
-
-
-		*r = r_;
-		*rest = rest_;
-
-	}
-
-
-
-} //namespace
-
-
-
-#endif //ifdef TTMATH_PLATFORM32
-#endif //ifndef TTMATH_NOASM
-#endif
diff --git a/include/geos/algorithm/ttmath/ttmathuint_x86_64.h b/include/geos/algorithm/ttmath/ttmathuint_x86_64.h
deleted file mode 100644
index 7ec501d..0000000
--- a/include/geos/algorithm/ttmath/ttmathuint_x86_64.h
+++ /dev/null
@@ -1,1177 +0,0 @@
-/*
- * This file is a part of TTMath Bignum Library
- * and is distributed under the 3-Clause BSD Licence.
- * Author: Tomasz Sowa <t.sowa at ttmath.org>
- */
-
-/* 
- * Copyright (c) 2006-2010, Tomasz Sowa
- * All rights reserved.
- * 
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- * 
- *  * Redistributions of source code must retain the above copyright notice,
- *    this list of conditions and the following disclaimer.
- *    
- *  * Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- *    
- *  * Neither the name Tomasz Sowa nor the names of contributors to this
- *    project may be used to endorse or promote products derived
- *    from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
- * THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-
-#ifndef headerfilettmathuint_x86_64
-#define headerfilettmathuint_x86_64
-
-
-#ifndef TTMATH_NOASM
-#ifdef TTMATH_PLATFORM64
-
-
-/*!
-	\file ttmathuint_x86_64.h
-    \brief template class UInt<uint> with assembler code for 64bit x86_64 processors
-
-	this file is included at the end of ttmathuint.h
-*/
-
-
-/*!
-	\file ttmathuint_x86_64_msvc.asm
-	\brief some asm routines for x86_64 when using Microsoft compiler
-
-	this file should be first compiled:
-	- compile with debug info:    ml64.exe /c /Zd /Zi ttmathuint_x86_64_msvc.asm
-	- compile without debug info: ml64.exe /c ttmathuint_x86_64_msvc.asm
-
-	this creates ttmathuint_x86_64_msvc.obj file which can be linked with your program
-
-	(you can use win64_assemble.bat file from ttmath subdirectory)
-*/
-
-
-#ifndef __GNUC__
-#include <intrin.h>
-#endif
-
-
-namespace ttmath
-{
-
-	#ifndef __GNUC__
-
-		extern "C"
-			{
-			uint __fastcall ttmath_adc_x64(uint* p1, const uint* p2, uint nSize, uint c);
-			uint __fastcall ttmath_addindexed_x64(uint* p1, uint nSize, uint nPos, uint nValue);
-			uint __fastcall ttmath_addindexed2_x64(uint* p1, uint nSize, uint nPos, uint nValue1, uint nValue2);
-			uint __fastcall ttmath_addvector_x64(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result);
-			uint __fastcall ttmath_sbb_x64(uint* p1, const uint* p2, uint nSize, uint c);
-			uint __fastcall ttmath_subindexed_x64(uint* p1, uint nSize, uint nPos, uint nValue);
-			uint __fastcall ttmath_subvector_x64(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result);
-			uint __fastcall ttmath_rcl_x64(uint* p1, uint nSize, uint nLowestBit);
-			uint __fastcall ttmath_rcr_x64(uint* p1, uint nSize, uint nLowestBit);
-			uint __fastcall ttmath_div_x64(uint* pnValHi, uint* pnValLo, uint nDiv);
-			uint __fastcall ttmath_rcl2_x64(uint* p1, uint nSize, uint nBits, uint c);
-			uint __fastcall ttmath_rcr2_x64(uint* p1, uint nSize, uint nBits, uint c);
-			};
-	#endif
-
-
-	/*!
-		returning the string represents the currect type of the library
-		we have following types:
-		  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)
-		  asm_gcc_32  - with asm code designed for GCC (32 bits)
-		  asm_vc_64   - with asm for VC (64 bit)
-		  asm_gcc_64  - with asm for GCC (64 bit)
-		  no_asm_32   - pure C++ version (32 bit) - without any asm code
-		  no_asm_64   - pure C++ version (64 bit) - without any asm code
-	*/
-	template<uint value_size>
-	const char * UInt<value_size>::LibTypeStr()
-	{
-		#ifndef __GNUC__
-			static const char info[] = "asm_vc_64";
-		#endif		
-
-		#ifdef __GNUC__
-			static const char info[] = "asm_gcc_64";
-		#endif
-
-	return info;
-	}
-
-
-	/*!
-		returning the currect type of the library
-	*/
-	template<uint value_size>
-	LibTypeCode UInt<value_size>::LibType()
-	{
-		#ifndef __GNUC__
-			LibTypeCode info = asm_vc_64;
-		#endif		
-
-		#ifdef __GNUC__
-			LibTypeCode info = asm_gcc_64;
-		#endif
-
-	return info;
-	}
-
-
-	/*!
-	*
-	*	basic mathematic functions
-	*
-	*/
-
-
-
-	/*!
-		this method adding ss2 to the this and adding carry if it's defined
-		(this = this + ss2 + c)
-
-		***this method is created only on a 64bit platform***
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it was)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Add(const UInt<value_size> & ss2, uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	const uint * p2 = ss2.table;
-
-		// we don't have to use TTMATH_REFERENCE_ASSERT here
-		// this algorithm doesn't require it
-
-		#ifndef __GNUC__
-			c = ttmath_adc_x64(p1,p2,b,c);
-		#endif
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			/*
-				this part should be compiled with gcc
-			*/
-			__asm__ __volatile__(
-	
-				"xorq %%rdx, %%rdx				\n"
-				"negq %%rax						\n"     // CF=1 if rax!=0 , CF=0 if rax==0
-
-			"1:									\n"
-				"movq (%%rsi,%%rdx,8), %%rax	\n"
-				"adcq %%rax, (%%rbx,%%rdx,8)	\n"
-			
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-			"jnz 1b								\n"
-
-				"adcq %%rcx, %%rcx				\n"
-
-				: "=c" (c), "=a" (dummy), "=d" (dummy2)
-				: "0" (b),  "1" (c), "b" (p1), "S" (p2)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Add", c)
-	
-	return c;
-	}
-
-
-
-	/*!
-		this method adds one word (at a specific position)
-		and returns a carry (if it was)
-
-		***this method is created only on a 64bit platform***
-
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;
-
-		and we call:
-
-			AddInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 + 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddInt(uint value, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size )
-
-		#ifndef __GNUC__
-			c = ttmath_addindexed_x64(p1,b,index,value);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-	
-			__asm__ __volatile__(
-
-				"subq %%rdx, %%rcx 				\n"
-
-			"1:									\n"
-				"addq %%rax, (%%rbx,%%rdx,8)	\n"
-			"jnc 2f								\n"
-				
-				"movq $1, %%rax					\n"
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%rdx				\n"
-
-				: "=d" (c),    "=a" (dummy), "=c" (dummy2)
-				: "0" (index), "1" (value),  "2" (b), "b" (p1)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::AddInt", c)
-	
-	return c;
-	}
-
-
-
-	/*!
-		this method adds only two unsigned words to the existing value
-		and these words begin on the 'index' position
-		(it's used in the multiplication algorithm 2)
-
-		***this method is created only on a 64bit platform***
-
-		index should be equal or smaller than value_size-2 (index <= value_size-2)
-		x1 - lower word, x2 - higher word
-
-		for example if we've got value_size equal 4 and:
-
-			table[0] = 3
-			table[1] = 4
-			table[2] = 5
-			table[3] = 6
-
-		then let
-
-			x1 = 10
-			x2 = 20
-
-		and
-
-			index = 1
-
-		the result of this method will be:
-
-			table[0] = 3
-			table[1] = 4 + x1 = 14
-			table[2] = 5 + x2 = 25
-			table[3] = 6
-		
-		and no carry at the end of table[3]
-
-		(of course if there was a carry in table[2](5+20) then 
-		this carry would be passed to the table[3] etc.)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddTwoInts(uint x2, uint x1, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size - 1 )
-
-		#ifndef __GNUC__
-			c = ttmath_addindexed2_x64(p1,b,index,x1,x2);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__ __volatile__(
-			
-				"subq %%rdx, %%rcx 				\n"
-				
-				"addq %%rsi, (%%rbx,%%rdx,8) 	\n"
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-
-			"1:									\n"
-				"adcq %%rax, (%%rbx,%%rdx,8)	\n"
-			"jnc 2f								\n"
-
-				"mov $0, %%rax					\n"
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%rax				\n"
-
-				: "=a" (c), "=c" (dummy), "=d" (dummy2)
-				: "0" (x2), "1" (b),      "2" (index), "b" (p1), "S" (x1)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::AddTwoInts", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		this static method addes one vector to the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		-  ss1 points to the first (larger) vector
-		-  ss2 points to the second vector
-		-  ss1_size - size of the ss1 (and size of the result too)
-		-  ss2_size - size of the ss2
-		-  result - is the result vector (which has size the same as ss1: ss1_size)
-
-			Example:  ss1_size is 5, ss2_size is 3
-			ss1:      ss2:   result (output):
-		  	  5        1         5+1
-			  4        3         4+3
-			  2        7         2+7
-			  6                  6
-			  9                  9
-	  of course the carry is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::AddVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-
-		uint c;
-
-		#ifndef __GNUC__
-			 c = ttmath_addvector_x64(ss1, ss2, ss1_size, ss2_size, result);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy1, dummy2, dummy3;	
-		uint rest = ss1_size - ss2_size;
-			
-			//	this part should be compiled with gcc
-		
-			__asm__ __volatile__(
-				"mov %%rdx, %%r8					\n"
-				"xor %%rdx, %%rdx					\n"   // rdx = 0, cf = 0
-			"1:										\n"
-				"mov (%%rsi,%%rdx,8), %%rax			\n"
-				"adc (%%rbx,%%rdx,8), %%rax			\n"
-				"mov %%rax, (%%rdi,%%rdx,8)			\n"
-
-				"inc %%rdx							\n"
-				"dec %%rcx							\n"
-			"jnz 1b									\n"
-
-				"adc %%rcx, %%rcx					\n"   // rcx has the cf state
-
-				"or %%r8, %%r8						\n"
-				"jz 3f								\n"
-				
-				"xor %%rbx, %%rbx					\n"   // ebx = 0
-				"neg %%rcx							\n"   // setting cf from rcx
-				"mov %%r8, %%rcx					\n"   // rcx=rest and is != 0
-			"2:										\n"
-				"mov (%%rsi, %%rdx, 8), %%rax		\n"
-				"adc %%rbx, %%rax 					\n"
-				"mov %%rax, (%%rdi, %%rdx, 8)		\n"
-
-				"inc %%rdx							\n"
-				"dec %%rcx							\n"
-			"jnz 2b									\n"
-
-				"adc %%rcx, %%rcx					\n"
-			"3:										\n"
-
-				: "=a" (dummy1), "=b" (dummy2), "=c" (c),       "=d" (dummy3)
-				:                "1" (ss2),     "2" (ss2_size), "3" (rest),   "S" (ss1),  "D" (result)
-				: "%r8", "cc", "memory" );
-
-		#endif
-
-		TTMATH_VECTOR_LOGC("UInt::AddVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method's subtracting ss2 from the 'this' and subtracting
-		carry if it has been defined
-		(this = this - ss2 - c)
-
-		***this method is created only on a 64bit platform***
-
-		c must be zero or one (might be a bigger value than 1)
-		function returns carry (1) (if it was)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Sub(const UInt<value_size> & ss2, uint c)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	const uint * p2 = ss2.table;
-	
-		// we don't have to use TTMATH_REFERENCE_ASSERT here
-		// this algorithm doesn't require it
-
-		#ifndef __GNUC__
-			c = ttmath_sbb_x64(p1,p2,b,c);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-			__asm__  __volatile__(
-	
-				"xorq %%rdx, %%rdx				\n"
-				"negq %%rax						\n"     // CF=1 if rax!=0 , CF=0 if rax==0
-
-			"1:									\n"
-				"movq (%%rsi,%%rdx,8), %%rax	\n"
-				"sbbq %%rax, (%%rbx,%%rdx,8)	\n"
-			
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-			"jnz 1b								\n"
-
-				"adcq %%rcx, %%rcx				\n"
-
-				: "=c" (c), "=a" (dummy), "=d" (dummy2)
-				: "0" (b),  "1" (c), "b" (p1), "S" (p2)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Sub", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method subtracts one word (at a specific position)
-		and returns a carry (if it was)
-
-		***this method is created only on a 64bit platform***
-
-		if we've got (value_size=3):
-
-			table[0] = 10;
-			table[1] = 30;
-			table[2] = 5;	
-
-		and we call:
-
-			SubInt(2,1)
-
-		then it'll be:
-
-			table[0] = 10;
-			table[1] = 30 - 2;
-			table[2] = 5;
-
-		of course if there was a carry from table[2] it would be returned
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubInt(uint value, uint index)
-	{
-	uint b = value_size;
-	uint * p1 = table;
-	uint c;
-
-		TTMATH_ASSERT( index < value_size )
-
-		#ifndef __GNUC__
-			c = ttmath_subindexed_x64(p1,b,index,value);
-		#endif
-
-
-		#ifdef __GNUC__
-			uint dummy, dummy2;
-
-			__asm__ __volatile__(
-			
-				"subq %%rdx, %%rcx 				\n"
-
-			"1:									\n"
-				"subq %%rax, (%%rbx,%%rdx,8)	\n"
-			"jnc 2f								\n"
-				
-				"movq $1, %%rax					\n"
-				"incq %%rdx						\n"
-				"decq %%rcx						\n"
-			"jnz 1b								\n"
-
-			"2:									\n"
-				"setc %%al						\n"
-				"movzx %%al, %%rdx				\n"
-
-				: "=d" (c),    "=a" (dummy), "=c" (dummy2)
-				: "0" (index), "1" (value),  "2" (b), "b" (p1)
-				: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::SubInt", c)
-
-	return c;
-	}
-
-
-	/*!
-		this static method subtractes one vector from the other
-		'ss1' is larger in size or equal to 'ss2'
-
-		-  ss1 points to the first (larger) vector
-		-  ss2 points to the second vector
-		-  ss1_size - size of the ss1 (and size of the result too)
-		-  ss2_size - size of the ss2
-		-  result - is the result vector (which has size the same as ss1: ss1_size)
-
-			Example:  ss1_size is 5, ss2_size is 3
-			ss1:      ss2:   result (output):
-			  5        1         5-1
-			  4        3         4-3
-			  2        7         2-7
-			  6                  6-1  (the borrow from previous item)
-			  9                  9
-		               return (carry): 0
-	  of course the carry (borrow) is propagated and will be returned from the last item
-	  (this method is used by the Karatsuba multiplication algorithm)
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SubVector(const uint * ss1, const uint * ss2, uint ss1_size, uint ss2_size, uint * result)
-	{
-		TTMATH_ASSERT( ss1_size >= ss2_size )
-
-		uint c;
-
-		#ifndef __GNUC__
-			c = ttmath_subvector_x64(ss1, ss2, ss1_size, ss2_size, result);
-		#endif
-
-
-		#ifdef __GNUC__
-		
-		//	the asm code is nearly the same as in AddVector
-		//	only two instructions 'adc' are changed to 'sbb'
-		
-		uint dummy1, dummy2, dummy3;
-		uint rest = ss1_size - ss2_size;
-
-			__asm__ __volatile__(
-				"mov %%rdx, %%r8					\n"
-				"xor %%rdx, %%rdx					\n"   // rdx = 0, cf = 0
-			"1:										\n"
-				"mov (%%rsi,%%rdx,8), %%rax			\n"
-				"sbb (%%rbx,%%rdx,8), %%rax			\n"
-				"mov %%rax, (%%rdi,%%rdx,8)			\n"
-
-				"inc %%rdx							\n"
-				"dec %%rcx							\n"
-			"jnz 1b									\n"
-
-				"adc %%rcx, %%rcx					\n"   // rcx has the cf state
-
-				"or %%r8, %%r8						\n"
-				"jz 3f								\n"
-				
-				"xor %%rbx, %%rbx					\n"   // ebx = 0
-				"neg %%rcx							\n"   // setting cf from rcx
-				"mov %%r8, %%rcx					\n"   // rcx=rest and is != 0
-			"2:										\n"
-				"mov (%%rsi, %%rdx, 8), %%rax		\n"
-				"sbb %%rbx, %%rax 					\n"
-				"mov %%rax, (%%rdi, %%rdx, 8)		\n"
-
-				"inc %%rdx							\n"
-				"dec %%rcx							\n"
-			"jnz 2b									\n"
-
-				"adc %%rcx, %%rcx					\n"
-			"3:										\n"
-
-				: "=a" (dummy1), "=b" (dummy2), "=c" (c),       "=d" (dummy3)
-				:                "1" (ss2),     "2" (ss2_size), "3" (rest),   "S" (ss1),  "D" (result)
-				: "%r8", "cc", "memory" );
-
-		#endif
-
-		TTMATH_VECTOR_LOGC("UInt::SubVector", c, result, ss1_size)
-
-	return c;
-	}
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bit* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2_one(1) there'll be 010100001 and Rcl2_one returns 0
-	
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2_one(uint c)
-	{
-	sint b = value_size;
-	uint * p1 = table;
-
-
-		#ifndef __GNUC__
-			c = ttmath_rcl_x64(p1,b,c);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2;
-
-		__asm__  __volatile__(
-		
-			"xorq %%rdx, %%rdx			\n"   // rdx=0
-			"negq %%rax					\n"   // CF=1 if rax!=0 , CF=0 if rax==0
-
-		"1:								\n"
-			"rclq $1, (%%rbx, %%rdx, 8)	\n"
-
-			"incq %%rdx					\n"
-			"decq %%rcx					\n"
-		"jnz 1b							\n"
-
-			"adcq %%rcx, %%rcx			\n"
-
-			: "=c" (c), "=a" (dummy), "=d" (dummy2)
-			: "0" (b),  "1" (c), "b" (p1)
-			: "cc", "memory" );
-	
-		#endif
-
-		TTMATH_LOGC("UInt::Rcl2_one", c)
-
-	return c;
-	}
-
-
-	/*!
-		this method moves all bits into the right hand side
-		c -> this -> return value
-
-		the highest *bit* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2_one(1) there'll be 100000001 and Rcr2_one returns 0
-
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2_one(uint c)
-	{
-	sint b = value_size;
-	uint * p1 = table;
-	
-
-		#ifndef __GNUC__
-			c = ttmath_rcr_x64(p1,b,c);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-		__asm__  __volatile__(
-
-			"negq %%rax						\n"   // CF=1 if rax!=0 , CF=0 if rax==0
-
-		"1:									\n"
-			"rcrq $1, -8(%%rbx, %%rcx, 8)	\n"
-
-			"decq %%rcx						\n"
-		"jnz 1b								\n"
-
-			"adcq %%rcx, %%rcx				\n"
-
-			: "=c" (c), "=a" (dummy)
-			: "0" (b),  "1" (c), "b" (p1)
-			: "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcr2_one", c)
-
-	return c;
-	}
-
-
-
-	/*!
-		this method moves all bits into the left hand side
-		return value <- this <- c
-
-		the lowest *bits* will be held the 'c' and
-		the state of one additional bit (on the left hand side)
-		will be returned
-
-		for example:
-		let this is 001010000
-		after Rcl2(3, 1) there'll be 010000111 and Rcl2 returns 1
-	
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcl2(uint bits, uint c)
-	{
-	TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-
-	uint b = value_size;
-	uint * p1 = table;
-
-
-		#ifndef __GNUC__
-			c = ttmath_rcl2_x64(p1,b,bits,c);
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy, dummy2, dummy3;
-
-		__asm__  __volatile__(
-		
-			"movq %%rcx, %%rsi				\n"
-			"movq $64, %%rcx				\n"
-			"subq %%rsi, %%rcx				\n"
-			"movq $-1, %%rdx				\n"
-			"shrq %%cl, %%rdx				\n"
-			"movq %%rdx, %%r8 				\n"
-			"movq %%rsi, %%rcx				\n"
-
-			"xorq %%rdx, %%rdx				\n"
-			"movq %%rdx, %%rsi				\n"
-			"orq %%rax, %%rax				\n"
-			"cmovnz %%r8, %%rsi				\n"
-
-		"1:									\n"
-			"rolq %%cl, (%%rbx,%%rdx,8)		\n"
-
-			"movq (%%rbx,%%rdx,8), %%rax	\n"
-			"andq %%r8, %%rax				\n"
-			"xorq %%rax, (%%rbx,%%rdx,8)	\n"
-			"orq  %%rsi, (%%rbx,%%rdx,8)	\n"
-			"movq %%rax, %%rsi				\n"
-			
-			"incq %%rdx						\n"
-			"decq %%rdi						\n"
-		"jnz 1b								\n"
-			
-			"and $1, %%rax					\n"
-
-			: "=a" (c), "=D" (dummy), "=S" (dummy2), "=d" (dummy3)
-			: "0" (c),  "1" (b), "b" (p1), "c" (bits)
-			: "%r8", "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcl2", c)
-
-	return c;
-	}
-
-
-	/*!
-		this method moves all bits into the right hand side
-		C -> this -> return value
-
-		the highest *bits* will be held the 'c' and
-		the state of one additional bit (on the right hand side)
-		will be returned
-
-		for example:
-		let this is 000000010
-		after Rcr2(2, 1) there'll be 110000000 and Rcr2 returns 1
-
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::Rcr2(uint bits, uint c)
-	{
-	TTMATH_ASSERT( bits>0 && bits<TTMATH_BITS_PER_UINT )
-
-	sint b = value_size;
-	uint * p1 = table;
-
-
-		#ifndef __GNUC__
-			c = ttmath_rcr2_x64(p1,b,bits,c);
-		#endif
-
-
-		#ifdef __GNUC__
-			uint dummy, dummy2, dummy3;
-
-			__asm__  __volatile__(
-
-			"movq %%rcx, %%rsi				\n"
-			"movq $64, %%rcx				\n"
-			"subq %%rsi, %%rcx				\n"
-			"movq $-1, %%rdx				\n"
-			"shlq %%cl, %%rdx				\n"
-			"movq %%rdx, %%R8				\n"
-			"movq %%rsi, %%rcx				\n"
-
-			"xorq %%rdx, %%rdx				\n"
-			"movq %%rdx, %%rsi				\n"
-			"addq %%rdi, %%rdx				\n"
-			"decq %%rdx						\n"
-			"orq %%rax, %%rax				\n"
-			"cmovnz %%R8, %%rsi				\n"
-
-		"1:									\n"
-			"rorq %%cl, (%%rbx,%%rdx,8)		\n"
-
-			"movq (%%rbx,%%rdx,8), %%rax	\n"
-			"andq %%R8, %%rax				\n"
-			"xorq %%rax, (%%rbx,%%rdx,8)	\n"
-			"orq  %%rsi, (%%rbx,%%rdx,8)	\n"
-			"movq %%rax, %%rsi				\n"
-			
-			"decq %%rdx						\n"
-			"decq %%rdi						\n"
-		"jnz 1b								\n"
-			
-			"rolq $1, %%rax					\n"
-			"andq $1, %%rax					\n"
-
-			: "=a" (c), "=D" (dummy), "=S" (dummy2), "=d" (dummy3)
-			: "0" (c), "1" (b), "b" (p1), "c" (bits)
-			: "%r8", "cc", "memory" );
-
-		#endif
-
-		TTMATH_LOGC("UInt::Rcr2", c)
-
-	return c;
-	}
-
-
-	/*
-		this method returns the number of the highest set bit in one 64-bit word
-		if the 'x' is zero this method returns '-1'
-
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLeadingBitInWord(uint x)
-	{
-	sint result;
-
-	
-		#ifndef __GNUC__
-
-			unsigned long nIndex = 0;
-
-			if( _BitScanReverse64(&nIndex,x) == 0 )
-				result = -1;
-			else
-				result = nIndex;
-
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-				__asm__ (
-
-				"movq $-1, %1          \n"
-				"bsrq %2, %0           \n"
-				"cmovz %1, %0          \n"
-
-				: "=r" (result), "=&r" (dummy)
-				: "r" (x)
-				: "cc" );
-
-		#endif
-
-
-	return result;
-	}
-
-
-	/*
-		this method returns the number of the highest set bit in one 64-bit word
-		if the 'x' is zero this method returns '-1'
-
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	sint UInt<value_size>::FindLowestBitInWord(uint x)
-	{
-	sint result;
-
-	
-		#ifndef __GNUC__
-
-			unsigned long nIndex = 0;
-
-			if( _BitScanForward64(&nIndex,x) == 0 )
-				result = -1;
-			else
-				result = nIndex;
-
-		#endif
-
-
-		#ifdef __GNUC__
-		uint dummy;
-
-				__asm__ (
-
-				"movq $-1, %1          \n"
-				"bsfq %2, %0           \n"
-				"cmovz %1, %0          \n"
-
-				: "=r" (result), "=&r" (dummy)
-				: "r" (x)
-				: "cc" );
-
-		#endif
-
-
-	return result;
-	}
-
-
-	/*!
-		this method sets a special bit in the 'value'
-		and returns the last state of the bit (zero or one)
-
-		***this method is created only on a 64bit platform***
-
-		bit is from <0,63>
-
-		e.g.
-		 uint x = 100;
-		 uint bit = SetBitInWord(x, 3);
-		 now: x = 108 and bit = 0
-	*/
-	template<uint value_size>
-	uint UInt<value_size>::SetBitInWord(uint & value, uint bit)
-	{
-		TTMATH_ASSERT( bit < TTMATH_BITS_PER_UINT )
-		
-		uint old_bit;
-		uint v = value;
-
-
-		#ifndef __GNUC__
-			old_bit = _bittestandset64((__int64*)&value,bit) != 0;
-		#endif
-
-
-		#ifdef __GNUC__
-
-			__asm__ (
-
-			"btsq %%rbx, %%rax		\n"
-			"setc %%bl				\n"
-			"movzx %%bl, %%rbx		\n"
-			
-			: "=a" (v), "=b" (old_bit)
-			: "0" (v),  "1" (bit)
-			: "cc" );
-
-		#endif
-
-		value = v;
-
-	return old_bit;
-	}
-
-
-	/*!
-	 *
-	 * Multiplication
-	 *
-	 *
-	*/
-
-
-	/*!
-		multiplication: result_high:result_low = a * b
-		-  result_high - higher word of the result
-		-  result_low  - lower word of the result
-	
-		this methos never returns a carry
-		this method is used in the second version of the multiplication algorithms
-
-		***this method is created only on a 64bit platform***
-	*/
-	template<uint value_size>
-	void UInt<value_size>::MulTwoWords(uint a, uint b, uint * result_high, uint * result_low)
-	{
-	/*
-		we must use these temporary variables in order to inform the compilator
-		that value pointed with result1 and result2 has changed
-
-		this has no effect in visual studio but it's usefull when
-		using gcc and options like -O
-	*/
-	uint result1_;
-	uint result2_;
-
-
-		#ifndef __GNUC__
-			result1_ = _umul128(a,b,&result2_);
-		#endif
-
-
-		#ifdef __GNUC__
-
-		__asm__ (
-		
-			"mulq %%rdx			\n"
-
-			: "=a" (result1_), "=d" (result2_)
-			: "0" (a),         "1" (b)
-			: "cc" );
-
-		#endif
-
-
-		*result_low  = result1_;
-		*result_high = result2_;
-	}
-
-
-
-
-	/*!
-	 *
-	 * Division
-	 *
-	 *
-	*/
-	
-
-	/*!
-		this method calculates 64bits word a:b / 32bits c (a higher, b lower word)
-		r = a:b / c and rest - remainder
-		
-		***this method is created only on a 64bit platform***
-
-		*
-		* WARNING:
-		* if r (one word) is too small for the result or c is equal zero
-		* there'll be a hardware interruption (0)
-		* and probably the end of your program
-		*
-	*/
-	template<uint value_size>
-	void UInt<value_size>::DivTwoWords(uint a,uint b, uint c, uint * r, uint * rest)
-	{
-		uint r_;
-		uint rest_;
-		/*
-			these variables have similar meaning like those in
-			the multiplication algorithm MulTwoWords
-		*/
-
-		TTMATH_ASSERT( c != 0 )
-
-
-		#ifndef __GNUC__
-
-			ttmath_div_x64(&a,&b,c);
-			r_    = a;
-			rest_ = b;
-			
-		#endif
-
-
-		#ifdef __GNUC__
-		
-			__asm__ (
-
-			"divq %%rcx				\n"
-
-			: "=a" (r_), "=d" (rest_)
-			: "d" (a), "a" (b), "c" (c)
-			: "cc" );
-
-		#endif
-
-
-		*r = r_;
-		*rest = rest_;
-	}
-
-} //namespace
-
-
-#endif //ifdef TTMATH_PLATFORM64
-#endif //ifndef TTMATH_NOASM
-#endif
-
-
diff --git a/include/geos/algorithm/ttmath/ttmathuint_x86_64_msvc.asm b/include/geos/algorithm/ttmath/ttmathuint_x86_64_msvc.asm
deleted file mode 100644
index 2f23a63..0000000
--- a/include/geos/algorithm/ttmath/ttmathuint_x86_64_msvc.asm
+++ /dev/null
@@ -1,551 +0,0 @@
-;
-; This file is a part of TTMath Bignum Library
-; and is distributed under the 3-Clause BSD Licence.
-; Author: Christian Kaiser <chk at online.de>, Tomasz Sowa <t.sowa at ttmath.org>
-;
-
-; 
-; Copyright (c) 2009-2017, Christian Kaiser, Tomasz Sowa
-; All rights reserved.
-; 
-; Redistribution and use in source and binary forms, with or without
-; modification, are permitted provided that the following conditions are met:
-; 
-;  * Redistributions of source code must retain the above copyright notice,
-;    this list of conditions and the following disclaimer.
-;    
-;  * Redistributions in binary form must reproduce the above copyright
-;    notice, this list of conditions and the following disclaimer in the
-;    documentation and/or other materials provided with the distribution.
-;    
-;  * Neither the name Christian Kaiser nor the names of contributors to this
-;    project may be used to endorse or promote products derived
-;    from this software without specific prior written permission.
-;
-; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-; IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-; ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
-; LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-; CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-; SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-; CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-; ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
-; THE POSSIBILITY OF SUCH DAMAGE.
-;
-
-;
-; compile with debug info:    ml64.exe /c /Zd /Zi ttmathuint_x86_64_msvc.asm
-; compile without debug info: ml64.exe /c ttmathuint_x86_64_msvc.asm
-; this creates ttmathuint_x86_64_msvc.obj file which can be linked with your program
-;
-
-; doxygen info is put to ttmathuint_x86_64.h file
-
-
-PUBLIC	ttmath_adc_x64
-PUBLIC	ttmath_addindexed_x64
-PUBLIC	ttmath_addindexed2_x64
-PUBLIC	ttmath_addvector_x64
-
-PUBLIC	ttmath_sbb_x64
-PUBLIC	ttmath_subindexed_x64
-PUBLIC	ttmath_subvector_x64
-
-PUBLIC	ttmath_rcl_x64
-PUBLIC	ttmath_rcr_x64
-
-PUBLIC	ttmath_rcl2_x64
-PUBLIC	ttmath_rcr2_x64
-
-PUBLIC	ttmath_div_x64
-
-;
-; Microsoft x86_64 convention: http://msdn.microsoft.com/en-us/library/9b372w95.aspx
-;
-;	"rax, rcx, rdx, r8-r11 are volatile."
-;	"rbx, rbp, rdi, rsi, r12-r15 are nonvolatile."
-;
-
-
-.CODE
-
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_adc_x64				PROC
-        ; rcx = p1
-        ; rdx = p2
-        ; r8 = nSize
-        ; r9 = nCarry
-
-        xor		rax, rax
-        xor		r11, r11
-        sub		rax, r9		; sets CARRY if r9 != 0
-
-		ALIGN 16
- loop1:
-		mov		rax,qword ptr [rdx + r11 * 8]
-		adc		qword ptr [rcx + r11 * 8], rax
-		lea		r11, [r11+1]
-		dec		r8
-		jnz		loop1
-
-		setc	al
-		movzx	rax, al
-
-		ret
-
-ttmath_adc_x64				ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_addindexed_x64	PROC
-
-        ; rcx = p1
-        ; rdx = nSize
-        ; r8 = nPos
-        ; r9 = nValue
-
-		xor		rax, rax			; rax = result
-		sub		rdx, r8				; rdx = remaining count of uints
-
-		add		qword ptr [rcx + r8 * 8], r9
-		jc		next1
-
-		ret
-
-next1:
-		mov		r9, 1
-
-		ALIGN 16
-loop1:
-		dec		rdx
-		jz		done_with_cy
-		lea		r8, [r8+1]
-		add		qword ptr [rcx + r8 * 8], r9
-		jc		loop1
-
-		ret
-
-done_with_cy:
-		lea		rax, [rax+1]		; rax = 1
-
-		ret
-
-ttmath_addindexed_x64	ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_addindexed2_x64	PROC
-
-        ; rcx = p1 (pointer)
-        ; rdx = b  (value size)
-        ; r8 = nPos
-        ; r9 = nValue1
-        ; [rsp+0x28] = nValue2
-
-		xor		rax, rax			; return value
-		mov		r11, rcx			; table
-		sub		rdx, r8				; rdx = remaining count of uints
-		mov		r10, [rsp+028h]		; r10 = nValue2
-
-		add		qword ptr [r11 + r8 * 8], r9
-		lea		r8, [r8+1]
-		lea		rdx, [rdx-1]
-		adc		qword ptr [r11 + r8 * 8], r10
-		jc		next
-		ret
-
-		ALIGN 16
-loop1:
-		lea		r8, [r8+1]
-		add		qword ptr [r11 + r8 * 8], 1
-		jc		next
-		ret
-
-next:
-		dec		rdx					; does not modify CY too...
-		jnz		loop1
-		lea		rax, [rax+1]
-		ret
-
-ttmath_addindexed2_x64	ENDP
-
-
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-
-ttmath_addvector_x64				PROC
-        ; rcx = ss1
-        ; rdx = ss2
-        ; r8 = ss1_size
-        ; r9 = ss2_size
-        ; [rsp+0x28] = result
-
-		mov		r10, [rsp+028h]
-		sub		r8, r9
-        xor		r11, r11				; r11=0, cf=0
-
-		ALIGN 16
- loop1:
-		mov		rax, qword ptr [rcx + r11 * 8]
-		adc		rax, qword ptr [rdx + r11 * 8]
-		mov		qword ptr [r10 + r11 * 8], rax
-		inc		r11
-		dec		r9
-		jnz		loop1
-
-		adc		r9, r9					; r9 has the cf state
-
-		or		r8, r8
-		jz		done
-
-		neg		r9						; setting cf from r9
-		mov		r9, 0					; don't use xor here (cf is used)
- loop2:
-		mov		rax, qword ptr [rcx + r11 * 8]
-		adc		rax, r9
-		mov		qword ptr [r10 + r11 * 8], rax
-		inc		r11
-		dec		r8
-		jnz		loop2
-
-		adc		r8, r8
-		mov		rax, r8
-		
-		ret
-
-done:
-		mov		rax, r9
-		ret
-
-ttmath_addvector_x64				ENDP
-
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_sbb_x64				PROC
-
-        ; rcx = p1
-        ; rdx = p2
-        ; r8 = nCount
-        ; r9 = nCarry
-
-        xor		rax, rax
-        xor		r11, r11
-        sub		rax, r9				; sets CARRY if r9 != 0
-
-		ALIGN 16
- loop1:
-		mov		rax,qword ptr [rdx + r11 * 8]
-		sbb		qword ptr [rcx + r11 * 8], rax
-		lea		r11, [r11+1]
-		dec		r8
-		jnz		loop1
-
-		setc	al
-		movzx	rax, al
-
-		ret
-
-ttmath_sbb_x64				ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_subindexed_x64	PROC
-        ; rcx = p1
-        ; rdx = nSize
-        ; r8 = nPos
-        ; r9 = nValue
-
-		sub		rdx, r8				; rdx = remaining count of uints
-
-		ALIGN 16
-loop1:
-		sub		qword ptr [rcx + r8 * 8], r9
-		jnc		done
-
-		lea		r8, [r8+1]
-		mov		r9, 1
-		dec		rdx
-		jnz		loop1
-
-		mov		rax, 1
-		ret
-
-done:
-		xor		rax, rax
-		ret
-
-ttmath_subindexed_x64	ENDP
-
-
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-;	the same asm code as in addvector_x64 only two instructions 'adc' changed to 'sbb'
-
-ttmath_subvector_x64				PROC
-        ; rcx = ss1
-        ; rdx = ss2
-        ; r8 = ss1_size
-        ; r9 = ss2_size
-        ; [rsp+0x28] = result
-
-		mov		r10, [rsp+028h]
-		sub		r8, r9
-        xor		r11, r11				; r11=0, cf=0
-
-		ALIGN 16
- loop1:
-		mov		rax, qword ptr [rcx + r11 * 8]
-		sbb		rax, qword ptr [rdx + r11 * 8]
-		mov		qword ptr [r10 + r11 * 8], rax
-		inc		r11
-		dec		r9
-		jnz		loop1
-
-		adc		r9, r9					; r9 has the cf state
-
-		or		r8, r8
-		jz		done
-
-		neg		r9						; setting cf from r9
-		mov		r9, 0					; don't use xor here (cf is used)
- loop2:
-		mov		rax, qword ptr [rcx + r11 * 8]
-		sbb		rax, r9
-		mov		qword ptr [r10 + r11 * 8], rax
-		inc		r11
-		dec		r8
-		jnz		loop2
-
-		adc		r8, r8
-		mov		rax, r8
-		
-		ret
-
-done:
-		mov		rax, r9
-		ret
-
-ttmath_subvector_x64				ENDP
-
-
-
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_rcl_x64	PROC
-        ; rcx = p1
-        ; rdx = b
-        ; r8 = nLowestBit
-
-		mov		r11, rcx			; table
-		xor		r10, r10
-		neg		r8					; CY set if r8 <> 0
-
-		ALIGN 16
-loop1:
-		rcl		qword ptr [r11 + r10 * 8], 1
-		lea		r10, [r10+1]
-		dec		rdx
-		jnz		loop1
-
-		setc	al
-		movzx	rax, al
-
-        ret
-
-ttmath_rcl_x64	ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_rcr_x64	PROC
-        ; rcx = p1
-        ; rdx = nSize
-        ; r8 = nLowestBit
-
-		xor		r10, r10
-		neg		r8					; CY set if r8 <> 0
-
-		ALIGN 16
-loop1:
-		rcr		qword ptr -8[rcx + rdx * 8], 1
-		dec		rdx
-		jnz		loop1
-
-		setc	al
-		movzx	rax, al
-
-        ret
-
-ttmath_rcr_x64	ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_div_x64	PROC
-
-        ; rcx = &Hi
-        ; rdx = &Lo
-        ; r8 = nDiv
-
-        mov		r11, rcx
-        mov		r10, rdx
-
-        mov		rdx, qword ptr [r11]
-        mov		rax, qword ptr [r10]
-        div		r8
-        mov		qword ptr [r10], rdx ; remainder
-        mov		qword ptr [r11], rax ; value
-
-        ret
-
-ttmath_div_x64	ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_rcl2_x64	PROC
-        ; rcx = p1
-        ; rdx = nSize
-        ; r8 = bits
-        ; r9 = c
-
-        push	rbx
-
-        mov		r10, rcx	; r10 = p1
-        xor		rax, rax
-
-        mov		rcx, 64
-        sub		rcx, r8
-
-        mov		r11, -1
-        shr		r11, cl		; r11 = mask
-
-		mov		rcx, r8		; rcx = count of bits
-
-		mov		rbx, rax	; rbx = old value = 0
-		or		r9, r9
-		cmovnz	rbx, r11	; if (c) then old value = mask
-
-        mov		r9, rax		; r9 = index (0..nSize-1)
-
-		ALIGN 16
-loop1:
-		rol		qword ptr [r10+r9*8], cl
-		mov		rax, qword ptr [r10+r9*8]
-		and		rax, r11
-		xor		qword ptr [r10+r9*8], rax
-		or		qword ptr [r10+r9*8], rbx
-		mov		rbx, rax
-
-		lea		r9, [r9+1]
-		dec		rdx
-
-		jnz		loop1
-
-		and		rax, 1
-		pop		rbx
-        ret
-
-ttmath_rcl2_x64	ENDP
-
-;----------------------------------------
-
-        ALIGN       8
-
-;----------------------------------------
-
-ttmath_rcr2_x64	PROC
-        ; rcx = p1
-        ; rdx = nSize
-        ; r8 = bits
-        ; r9 = c
-
-        push	rbx
-        mov		r10, rcx	; r10 = p1
-        xor		rax, rax
-
-        mov		rcx, 64
-        sub		rcx, r8
-
-        mov		r11, -1
-        shl		r11, cl		; r11 = mask
-
-		mov		rcx, r8		; rcx = count of bits
-
-		mov		rbx, rax	; rbx = old value = 0
-		or		r9, r9
-		cmovnz	rbx, r11	; if (c) then old value = mask
-
-        mov		r9, rdx		; r9 = index (0..nSize-1)
-		lea		r9, [r9-1]
-
-		ALIGN 16
-loop1:
-		ror		qword ptr [r10+r9*8], cl
-		mov		rax, qword ptr [r10+r9*8]
-		and		rax, r11
-		xor		qword ptr [r10+r9*8], rax
-		or		qword ptr [r10+r9*8], rbx
-		mov		rbx, rax
-
-		lea		r9, [r9-1]
-		dec		rdx
-
-		jnz		loop1
-
-		rol		rax, 1
-		and		rax, 1
-		pop		rbx
-
-        ret
-
-ttmath_rcr2_x64	ENDP
-
-END
diff --git a/include/geos/math/DD.h b/include/geos/math/DD.h
new file mode 100644
index 0000000..7bcbb18
--- /dev/null
+++ b/include/geos/math/DD.h
@@ -0,0 +1,204 @@
+/**********************************************************************
+ *
+ * GEOS - Geometry Engine Open Source
+ * http://geos.osgeo.org
+ *
+ * Copyright (C) 2020 Crunchy Data
+ *
+ * This is free software; you can redistribute and/or modify it under
+ * the terms of the GNU Lesser General Public Licence as published
+ * by the Free Software Foundation.
+ * See the COPYING file for more information.
+ *
+ **********************************************************************/
+
+/**
+ * Implements extended-precision floating-point numbers
+ * which maintain 106 bits (approximately 30 decimal digits) of precision.
+ * <p>
+ * A DoubleDouble uses a representation containing two double-precision values.
+ * A number x is represented as a pair of doubles, x.hi and x.lo,
+ * such that the number represented by x is x.hi + x.lo, where
+ * <pre>
+ *    |x.lo| <= 0.5*ulp(x.hi)
+ * </pre>
+ * and ulp(y) means "unit in the last place of y".
+ * The basic arithmetic operations are implemented using
+ * convenient properties of IEEE-754 floating-point arithmetic.
+ * <p>
+ * The range of values which can be represented is the same as in IEEE-754.
+ * The precision of the representable numbers
+ * is twice as great as IEEE-754 double precision.
+ * <p>
+ * The correctness of the arithmetic algorithms relies on operations
+ * being performed with standard IEEE-754 double precision and rounding.
+ * This is the Java standard arithmetic model, but for performance reasons
+ * Java implementations are not
+ * constrained to using this standard by default.
+ * Some processors (notably the Intel Pentium architecture) perform
+ * floating point operations in (non-IEEE-754-standard) extended-precision.
+ * A JVM implementation may choose to use the non-standard extended-precision
+ * as its default arithmetic mode.
+ * To prevent this from happening, this code uses the
+ * Java <tt>strictfp</tt> modifier,
+ * which forces all operations to take place in the standard IEEE-754 rounding model.
+ * <p>
+ * The API provides both a set of value-oriented operations
+ * and a set of mutating operations.
+ * Value-oriented operations treat DoubleDouble values as
+ * immutable; operations on them return new objects carrying the result
+ * of the operation.  This provides a simple and safe semantics for
+ * writing DoubleDouble expressions.  However, there is a performance
+ * penalty for the object allocations required.
+ * The mutable interface updates object values in-place.
+ * It provides optimum memory performance, but requires
+ * care to ensure that aliasing errors are not created
+ * and constant values are not changed.
+ * <p>
+ * For example, the following code example constructs three DD instances:
+ * two to hold the input values and one to hold the result of the addition.
+ * <pre>
+ *     DD a = new DD(2.0);
+ *     DD b = new DD(3.0);
+ *     DD c = a.add(b);
+ * </pre>
+ * In contrast, the following approach uses only one object:
+ * <pre>
+ *     DD a = new DD(2.0);
+ *     a.selfAdd(3.0);
+ * </pre>
+ * <p>
+ * This implementation uses algorithms originally designed variously by
+ * Knuth, Kahan, Dekker, and Linnainmaa.
+ * Douglas Priest developed the first C implementation of these techniques.
+ * Other more recent C++ implementation are due to Keith M. Briggs and David Bailey et al.
+ *
+ * <h3>References</h3>
+ * <ul>
+ * <li>Priest, D., <i>Algorithms for Arbitrary Precision Floating Point Arithmetic</i>,
+ * in P. Kornerup and D. Matula, Eds., Proc. 10th Symposium on Computer Arithmetic,
+ * IEEE Computer Society Press, Los Alamitos, Calif., 1991.
+ * <li>Yozo Hida, Xiaoye S. Li and David H. Bailey,
+ * <i>Quad-Double Arithmetic: Algorithms, Implementation, and Application</i>,
+ * manuscript, Oct 2000; Lawrence Berkeley National Laboratory Report BNL-46996.
+ * <li>David Bailey, <i>High Precision Software Directory</i>;
+ * <tt>http://crd.lbl.gov/~dhbailey/mpdist/index.html</tt>
+ * </ul>
+ *
+ *
+ * @author Martin Davis
+ *
+ */
+
+#ifndef GEOS_MATH_DD_H
+#define GEOS_MATH_DD_H
+
+#include <cmath>
+
+namespace geos {
+namespace math { // geos.math
+
+/**
+ * \class DD
+ *
+ * \brief
+ * Wrapper for DoubleDouble higher precision mathematics
+ * operations.
+ */
+class GEOS_DLL DD {
+    private:
+        static constexpr double SPLIT = 134217729.0; // 2^27+1, for IEEE double
+        double hi;
+        double lo;
+
+        int magnitude(double x) const;
+        int signum() const;
+        DD rint() const;
+
+
+    public:
+        DD(double p_hi, double p_lo) : hi(p_hi), lo(p_lo) {};
+        DD(double x) : hi(x), lo(0.0) {};
+        DD(const DD &dd) : hi(dd.hi), lo(dd.lo) {};
+        DD() : hi(0.0), lo(0.0) {};
+
+        bool operator==(const DD &rhs) const
+        {
+            return hi == rhs.hi && lo == rhs.lo;
+        }
+
+        bool operator!=(const DD &rhs) const
+        {
+            return hi != rhs.hi || lo != rhs.lo;
+        }
+
+        bool operator<(const DD &rhs) const
+        {
+            return (hi < rhs.hi) || (hi == rhs.hi && lo < rhs.lo);
+        }
+
+        bool operator<=(const DD &rhs) const
+        {
+            return (hi < rhs.hi) || (hi == rhs.hi && lo <= rhs.lo);
+        }
+
+        bool operator>(const DD &rhs) const
+        {
+            return (hi > rhs.hi) || (hi == rhs.hi && lo > rhs.lo);
+        }
+
+        bool operator>=(const DD &rhs) const
+        {
+            return (hi > rhs.hi) || (hi == rhs.hi && lo >= rhs.lo);
+        }
+
+        friend DD operator+ (const DD &lhs, const DD &rhs);
+        friend DD operator+ (const DD &lhs, double rhs);
+        friend DD operator- (const DD &lhs, const DD &rhs);
+        friend DD operator- (const DD &lhs, double rhs);
+        friend DD operator* (const DD &lhs, const DD &rhs);
+        friend DD operator* (const DD &lhs, double rhs);
+        friend DD operator/ (const DD &lhs, const DD &rhs);
+        friend DD operator/ (const DD &lhs, double rhs);
+
+        static DD determinant(const DD &x1, const DD &y1, const DD &x2, const DD &y2);
+        static DD determinant(double x1, double y1, double x2, double y2);
+        static DD abs(const DD &d);
+        static DD pow(const DD &d, int exp);
+        static DD trunc(const DD &d);
+
+        bool isNaN() const;
+        bool isNegative() const;
+        bool isPositive() const;
+        bool isZero() const;
+        double doubleValue() const;
+        double ToDouble() const { return doubleValue(); }
+        int intValue() const;
+        DD negate() const;
+        DD reciprocal() const;
+        DD floor() const;
+        DD ceil() const;
+
+        void selfAdd(const DD &d);
+        void selfAdd(double p_hi, double p_lo);
+        void selfAdd(double y);
+
+        void selfSubtract(const DD &d);
+        void selfSubtract(double p_hi, double p_lo);
+        void selfSubtract(double y);
+
+        void selfMultiply(double p_hi, double p_lo);
+        void selfMultiply(const DD &d);
+        void selfMultiply(double y);
+
+        void selfDivide(double p_hi, double p_lo);
+        void selfDivide(const DD &d);
+        void selfDivide(double y);
+};
+
+
+} // namespace geos::math
+} // namespace geos
+
+
+#endif // GEOS_MATH_DD_H
diff --git a/include/geos/math/Makefile.am b/include/geos/math/Makefile.am
new file mode 100644
index 0000000..5396b95
--- /dev/null
+++ b/include/geos/math/Makefile.am
@@ -0,0 +1,11 @@
+#
+# This file is part of project GEOS (http://trac.osgeo.org/geos/) 
+#
+SUBDIRS = 
+
+EXTRA_DIST = 
+
+geosdir = $(includedir)/geos/math
+
+geos_HEADERS = \
+    DD.h 
diff --git a/src/Makefile.am b/src/Makefile.am
index 1bba8e8..ea46524 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -7,6 +7,7 @@ SUBDIRS = \
     index \
     io \
     linearref \
+    math \
     noding \
     operation \
     planargraph \
@@ -39,6 +40,7 @@ libgeos_la_LIBADD = \
     index/libindex.la \
     io/libio.la \
     linearref/liblinearref.la \
+    math/libmath.la \
     noding/libnoding.la \
     operation/liboperation.la \
     planargraph/libplanargraph.la \
diff --git a/src/algorithm/CGAlgorithmsDD.cpp b/src/algorithm/CGAlgorithmsDD.cpp
index 1ec67c8..57f8d20 100644
--- a/src/algorithm/CGAlgorithmsDD.cpp
+++ b/src/algorithm/CGAlgorithmsDD.cpp
@@ -35,7 +35,7 @@ namespace {
 double constexpr DP_SAFE_EPSILON =  1e-15;
 
 inline int
-OrientationDD(DD const& dd)
+OrientationDD(const DD &dd)
 {
     static DD const zero(0.0);
     if(dd < zero) {
@@ -49,10 +49,7 @@ OrientationDD(DD const& dd)
     return CGAlgorithmsDD::STRAIGHT;
 }
 
-// inline std::string ToStringDD(DD const& dd)
-// {
-//     return dd.ToString();
-// }
+
 }
 
 namespace geos {
diff --git a/src/algorithm/InteriorPointArea.cpp b/src/algorithm/InteriorPointArea.cpp
index c455948..1236898 100644
--- a/src/algorithm/InteriorPointArea.cpp
+++ b/src/algorithm/InteriorPointArea.cpp
@@ -200,7 +200,6 @@ private:
         // edge intersects scan line, so add a crossing
         double xInt = intersection(p0, p1, scanY);
         crossings.push_back(xInt);
-        //checkIntersectionDD(p0, p1, scanY, xInt);
     }
 
     void findBestMidpoint(vector<double>& crossings)
diff --git a/src/geom/LineString.cpp b/src/geom/LineString.cpp
index 65f86a0..ac5d7fe 100644
--- a/src/geom/LineString.cpp
+++ b/src/geom/LineString.cpp
@@ -45,7 +45,7 @@ using namespace geos::algorithm;
 namespace geos {
 namespace geom { // geos::geom
 
-LineString::~LineString(){};
+LineString::~LineString(){}
 
 /*protected*/
 LineString::LineString(const LineString& ls)
diff --git a/src/math/DD.cpp b/src/math/DD.cpp
new file mode 100644
index 0000000..673e921
--- /dev/null
+++ b/src/math/DD.cpp
@@ -0,0 +1,403 @@
+/**********************************************************************
+ *
+ * GEOS - Geometry Engine Open Source
+ * http://geos.osgeo.org
+ *
+ * Copyright (C) 2020 Crunchy Data
+ *
+ * This is free software; you can redistribute and/or modify it under
+ * the terms of the GNU Lesser General Public Licence as published
+ * by the Free Software Foundation.
+ * See the COPYING file for more information.
+ *
+ **********************************************************************/
+
+#include <cmath>
+
+#include <geos/profiler.h>
+#include <geos/math/DD.h>
+
+namespace geos {
+namespace math { // geos.util
+
+
+/* private */
+int
+DD::magnitude(double x) const
+{
+    double xAbs = std::fabs(x);
+    double xLog10 = std::log(xAbs) / std::log(10);
+    int xMag = (int) std::floor(xLog10);
+    /**
+     * Since log computation is inexact, there may be an off-by-one error
+     * in the computed magnitude.
+     * Following tests that magnitude is correct, and adjusts it if not
+     */
+    double xApprox = std::pow(10, xMag);
+    if (xApprox * 10 <= xAbs)
+      xMag += 1;
+
+    return xMag;
+}
+
+/* public */
+bool DD::isNaN() const
+{
+    return std::isnan(hi);
+}
+/* public */
+bool DD::isNegative() const
+{
+    return hi < 0.0 || (hi == 0.0 && lo < 0.0);
+}
+/* public */
+bool DD::isPositive() const
+{
+    return hi > 0.0 || (hi == 0.0 && lo > 0.0);
+}
+/* public */
+bool DD::isZero() const
+{
+    return hi == 0.0 && lo == 0.0;
+}
+
+/* public */
+double DD::doubleValue() const
+{
+    return hi + lo;
+}
+
+/* public */
+int DD::intValue() const
+{
+    return (int) hi;
+}
+
+/* public */
+void DD::selfAdd(const DD &y)
+{
+    return selfAdd(y.hi, y.lo);
+}
+
+/* public */
+void DD::selfAdd(double yhi, double ylo)
+{
+    double H, h, T, t, S, s, e, f;
+    S = hi + yhi;
+    T = lo + ylo;
+    e = S - hi;
+    f = T - lo;
+    s = S-e;
+    t = T-f;
+    s = (yhi-e)+(hi-s);
+    t = (ylo-f)+(lo-t);
+    e = s+T; H = S+e; h = e+(S-H); e = t+h;
+
+    double zhi = H + e;
+    double zlo = e + (H - zhi);
+    hi = zhi;
+    lo = zlo;
+    return;
+}
+
+/* public */
+void DD::selfAdd(double y)
+{
+    double H, h, S, s, e, f;
+    S = hi + y;
+    e = S - hi;
+    s = S - e;
+    s = (y - e) + (hi - s);
+    f = s + lo;
+    H = S + f;
+    h = f + (S - H);
+    hi = H + h;
+    lo = h + (H - hi);
+    return;
+}
+
+/* public */
+DD operator+(const DD &lhs, const DD &rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfAdd(rhs);
+    return rv;
+}
+
+/* public */
+DD operator+(const DD &lhs, double rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfAdd(rhs);
+    return rv;
+}
+
+/* public */
+void DD::selfSubtract(const DD &d)
+{
+    return selfAdd(-1*d.hi, -1*d.lo);
+}
+
+/* public */
+void DD::selfSubtract(double p_hi, double p_lo)
+{
+    return selfAdd(-1*p_hi, -1*p_lo);
+}
+
+/* public */
+void DD::selfSubtract(double y)
+{
+    return selfAdd(-1*y, 0.0);
+}
+
+/* public */
+DD operator-(const DD &lhs, const DD &rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfSubtract(rhs);
+    return rv;
+}
+
+/* public */
+DD operator-(const DD &lhs, double rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfSubtract(rhs);
+    return rv;
+}
+
+/* public */
+void DD::selfMultiply(double yhi, double ylo)
+{
+    double hx, tx, hy, ty, C, c;
+    C = SPLIT * hi; hx = C-hi; c = SPLIT * yhi;
+    hx = C-hx; tx = hi-hx; hy = c-yhi;
+    C = hi*yhi; hy = c-hy; ty = yhi-hy;
+    c = ((((hx*hy-C)+hx*ty)+tx*hy)+tx*ty)+(hi*ylo+lo*yhi);
+    double zhi = C+c; hx = C-zhi;
+    double zlo = c+hx;
+    hi = zhi;
+    lo = zlo;
+    return;
+}
+
+/* public */
+void DD::selfMultiply(DD const &d)
+{
+    return selfMultiply(d.hi, d.lo);
+}
+
+/* public */
+void DD::selfMultiply(double y)
+{
+    return selfMultiply(y, 0.0);
+}
+
+/* public */
+DD operator*(const DD &lhs, const DD &rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfMultiply(rhs);
+    return rv;
+}
+
+/* public */
+DD operator*(const DD &lhs, double rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfMultiply(rhs);
+    return rv;
+}
+
+
+/* public */
+void DD::selfDivide(double yhi, double ylo)
+{
+    double hc, tc, hy, ty, C, c, U, u;
+    C = hi/yhi; c = SPLIT*C; hc =c-C;
+    u = SPLIT*yhi; hc = c-hc;
+    tc = C-hc; hy = u-yhi; U = C * yhi;
+    hy = u-hy; ty = yhi-hy;
+    u = (((hc*hy-U)+hc*ty)+tc*hy)+tc*ty;
+    c = ((((hi-U)-u)+lo)-C*ylo)/yhi;
+    u = C+c;
+    hi = u;
+    lo = (C-u)+c;
+    return;
+}
+
+/* public */
+void DD::selfDivide(const DD &d)
+{
+    return selfDivide(d.hi, d.lo);
+}
+
+/* public */
+void DD::selfDivide(double y)
+{
+    return selfDivide(y, 0.0);
+}
+
+/* public */
+DD operator/(const DD &lhs, const DD &rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfDivide(rhs);
+    return rv;
+}
+
+/* public */
+DD operator/(const DD &lhs, double rhs)
+{
+    DD rv(lhs.hi, lhs.lo);
+    rv.selfDivide(rhs);
+    return rv;
+}
+
+/* public */
+DD DD::negate() const
+{
+    DD rv(hi, lo);
+    if (rv.isNaN())
+    {
+        return rv;
+    }
+    rv.hi = -hi;
+    rv.lo = -lo;
+    return rv;
+}
+
+/* public static */
+DD DD::reciprocal() const
+{
+    double  hc, tc, hy, ty, C, c, U, u;
+    C = 1.0/hi;
+    c = SPLIT*C;
+    hc = c-C;
+    u = SPLIT*hi;
+    hc = c-hc; tc = C-hc; hy = u-hi; U = C*hi; hy = u-hy; ty = hi-hy;
+    u = (((hc*hy-U)+hc*ty)+tc*hy)+tc*ty;
+    c = ((((1.0-U)-u))-C*lo)/hi;
+    double zhi = C+c;
+    double zlo = (C-zhi)+c;
+    return DD(zhi, zlo);
+}
+
+DD DD::floor() const
+{
+    DD rv(hi, lo);
+    if (isNaN()) return rv;
+    double fhi = std::floor(hi);
+    double flo = 0.0;
+    // Hi is already integral.  Floor the low word
+    if (fhi == hi) {
+      flo = std::floor(lo);
+    }
+      // do we need to renormalize here?
+    rv.hi = fhi;
+    rv.lo = flo;
+    return rv;
+}
+
+DD DD::ceil() const
+{
+    DD rv(hi, lo);
+    if (isNaN()) return rv;
+    double fhi = std::ceil(hi);
+    double flo = 0.0;
+    // Hi is already integral.  Ceil the low word
+    if (fhi == hi) {
+      flo = std::ceil(lo);
+      // do we need to renormalize here?
+    }
+    rv.hi = fhi;
+    rv.lo = flo;
+    return rv;
+}
+
+int DD::signum() const
+{
+    if (hi > 0) return 1;
+    if (hi < 0) return -1;
+    if (lo > 0) return 1;
+    if (lo < 0) return -1;
+    return 0;
+}
+
+DD DD::rint() const
+{
+    DD rv(hi, lo);
+    if (isNaN()) return rv;
+     return (rv + 0.5).floor();
+}
+
+/* public static */
+DD DD::trunc(const DD &d)
+{
+    DD rv(d);
+    if (rv.isNaN()) return rv;
+    if (rv.isPositive())
+        return rv.floor();
+    return rv.ceil();
+}
+
+/* public static */
+DD DD::abs(const DD &d)
+{
+    DD rv(d);
+    if (rv.isNaN()) return rv;
+    if (rv.isNegative())
+        return rv.negate();
+
+    return rv;
+}
+
+/* public static */
+DD DD::determinant(const DD &x1, const DD &y1, const DD &x2, const DD &y2)
+{
+    return (x1 * y2) - (y1 * x2);
+}
+
+/* public static */
+DD DD::determinant(double x1, double y1, double x2, double y2)
+{
+    return determinant(DD(x1), DD(y1), DD(x2), DD(y2) );
+}
+
+/**
+* Computes the value of this number raised to an integral power.
+* Follows semantics of Java Math.pow as closely as possible.
+*/
+/* public static */
+DD DD::pow(const DD &d, int exp)
+{
+    if (exp == 0.0)
+        return DD(1.0);
+
+    DD r(d);
+    DD s(1.0);
+    int n = std::abs(exp);
+
+    if (n > 1) {
+        /* Use binary exponentiation */
+        while (n > 0) {
+        if (n % 2 == 1) {
+            s.selfMultiply(r);
+        }
+        n /= 2;
+        if (n > 0)
+            r = r*r;
+        }
+    } else {
+        s = r;
+    }
+
+    /* Compute the reciprocal if n is negative. */
+    if (exp < 0)
+        return s.reciprocal();
+    return s;
+}
+
+
+}
+}
diff --git a/src/math/Makefile.am b/src/math/Makefile.am
new file mode 100644
index 0000000..c30e97e
--- /dev/null
+++ b/src/math/Makefile.am
@@ -0,0 +1,13 @@
+#
+# This file is part of project GEOS (http://trac.osgeo.org/geos/) 
+#
+SUBDIRS = 
+
+noinst_LTLIBRARIES = libmath.la
+
+AM_CPPFLAGS = -I$(top_srcdir)/include 
+
+libmath_la_SOURCES = \
+	DD.cpp 
+
+libmath_la_LIBADD = 
diff --git a/tests/unit/Makefile.am b/tests/unit/Makefile.am
index 88c4816..3c836fc 100644
--- a/tests/unit/Makefile.am
+++ b/tests/unit/Makefile.am
@@ -151,6 +151,7 @@ geos_unit_SOURCES = \
 	io/WKTWriterTest.cpp \
 	io/WriterTest.cpp \
 	linearref/LengthIndexedLineTest.cpp \
+	math/DDTest.cpp \
 	noding/BasicSegmentStringTest.cpp \
 	noding/NodedSegmentStringTest.cpp \
 	noding/OrientedCoordinateArrayTest.cpp \
diff --git a/tests/unit/math/DDTest.cpp b/tests/unit/math/DDTest.cpp
new file mode 100644
index 0000000..00a29b8
--- /dev/null
+++ b/tests/unit/math/DDTest.cpp
@@ -0,0 +1,414 @@
+//
+// Test Suite for geos::util::UniqueCoordinateArrayFilter class.
+
+// geos
+
+#include <geos/profiler.h>
+#include <geos/math/DD.h>
+
+// tut
+#include <tut/tut.hpp>
+#include <utility.h>
+
+// std
+#include <memory>
+#include <string>
+
+using namespace geos::math;
+
+namespace tut {
+//
+// Test Group
+//
+
+// Common data used in test cases.
+struct test_dd_data {
+
+    double eps;
+    DD pi;
+    DD e;
+
+
+    void ensure_dd_equals(const char *str, const DD &d1, const DD &d2, double tolerance)
+    {
+        DD delta = DD::abs(d1 - d2);
+        double diff = delta.doubleValue();
+        ensure(str, diff <= tolerance);
+    }
+
+    void checkTrunc(const DD &x, const DD &expected)
+    {
+        DD trunc = DD::trunc(x);
+        ensure("checkTrunc", trunc == expected);
+    }
+
+    void checkDeterminant(double x1, double y1, double x2, double y2, double expected, double errBound)
+    {
+        DD det = DD::determinant(x1, y1, x2, y2);
+        //ensure_equals("1", Angle::angle(Coordinate(10, 0)), 0.0, TOL);
+        ensure_dd_equals("checkDeterminant", det, DD(expected), errBound);
+    }
+
+    void checkDeterminantDD(double x1, double y1, double x2, double y2, double expected, double errBound)
+    {
+        DD det = DD::determinant(DD(x1), DD(y1), DD(x2), DD(y2));
+        ensure_dd_equals("checkDeterminantDD", det, DD(expected), errBound);
+    }
+
+    void checkAddMult2(const DD &dd)
+    {
+        DD sum = dd + dd;
+        DD prod = dd * DD(2.0);
+        ensure_dd_equals("checkAddMult2", sum, prod, 0.0);
+    }
+
+    void checkMultiplyDivide(const DD &a, const DD &b, double errBound)
+    {
+        DD a2 = (a * b) / b;
+        ensure_dd_equals("checkMultiplyDivide", a, a2, errBound);
+    }
+
+    void checkDivideMultiply(const DD &a, const DD &b, double errBound)
+    {
+        DD a2 = (a / b) * b;
+        ensure_dd_equals("checkDivideMultiply", a, a2, errBound);
+    }
+
+    /**
+    * Computes (a+b)^2 in two different ways and compares the result.
+    * For correct results, a and b should be integers.
+    */
+    void checkBinomialSquare(double a, double b)
+    {
+        // binomial square
+        DD add(a);
+        DD bdd(b);
+        DD aPlusb = add + bdd;
+        DD abSq = aPlusb * aPlusb;
+
+        // expansion
+        DD a2dd = add * add;
+        DD b2dd = bdd * bdd;
+        DD ab = add * bdd;
+        DD sum = b2dd + ab + ab;
+        DD diff = abSq - a2dd;
+        DD delta = diff - sum;
+
+        ensure("isSame", diff == sum);
+        ensure("isDeltaZero", delta.isZero());
+    }
+
+    void checkBinomial2(double a, double b)
+    {
+        // binomial product
+        DD add(a);
+        DD bdd(b);
+        DD aPlusb = add + bdd;
+        DD aSubb = add - bdd;
+        DD abProd = aPlusb * aSubb;
+
+        // expansion
+        DD a2dd = add * add;
+        DD b2dd = bdd * bdd;
+
+        // this should equal b^2
+        DD diff = (abProd - a2dd).negate();
+        DD delta = diff - b2dd;
+
+        ensure("isSame", diff == b2dd);
+        ensure("isDeltaZero", delta.isZero());
+    }
+
+    void checkReciprocal(double x, double errBound)
+    {
+        DD xdd(x);
+        DD rr = xdd.reciprocal().reciprocal();
+        double err = (xdd - rr).doubleValue();
+        ensure("checkReciprocal", err <= errBound);
+    }
+
+    DD slowPow(const DD &x, int exp)
+    {
+        if (exp == 0)
+            return DD(1.0);
+
+        int n = std::abs(exp);
+        // MD - could use binary exponentiation for better precision & speed
+        DD pow(x);
+        for (int i = 1; i < n; i++) {
+            pow = pow * x;
+        }
+        if (exp < 0) {
+            return pow.reciprocal();
+        }
+        return pow;
+    }
+
+    void checkPow(double x, int exp, double errBound)
+    {
+        DD xdd(x);
+        DD pow = DD::pow(xdd, exp);
+        DD pow2 = slowPow(xdd, exp);
+        double err = (pow - pow2).doubleValue();
+        ensure("checkPow", err <= errBound);
+    }
+
+
+    DD arctan(DD x)
+    {
+        DD t = x;
+        DD t2 = t*t;
+        DD at(0.0);
+        DD two(2.0);
+        int k = 0;
+        DD d(1.0);
+        int sign = 1;
+        while (t.doubleValue() > eps) {
+            k++;
+            if (sign < 0)
+                at = at - (t / d);
+            else
+                at = at + (t / d);
+
+            d = d + two;
+            t = t * t2;
+            sign = -sign;
+        }
+        return at;
+    }
+
+    /**
+     * Uses Taylor series to compute e
+     *
+     * e = 1 + 1 + 1/2! + 1/3! + 1/4! + ...
+     */
+    DD computeEByTaylorSeries()
+    {
+        DD s(2.0);
+        DD t(1.0);
+        double n = 1.0;
+        int i = 0;
+        while(t.doubleValue() > eps)
+        {
+            i++;
+            n += 1.0;
+            t = t / DD(n);
+            s = s + t;
+        }
+        return s;
+    }
+
+    /**
+     * Uses Machin's arctangent formula to compute Pi:
+     *
+     *    Pi / 4  =  4 arctan(1/5) - arctan(1/239)
+     */
+
+    DD computePiByMachin()
+    {
+        DD t1 = DD(1.0) / DD(5.0);
+        DD t2 = DD(1.0) / DD(239.0);
+        DD pi4 = (DD(4.0) * arctan(t1)) - arctan(t2);
+        DD pi = DD(4.0) * pi4;
+        return pi;
+    }
+
+    test_dd_data():
+        eps(1.23259516440783e-32), /* = 2^-106 */
+        pi(DD(3.141592653589793116e+00, 1.224646799147353207e-16)),
+        e(DD(2.718281828459045091e+00, 1.445646891729250158e-16))
+        {}
+
+};
+
+typedef test_group<test_dd_data> group;
+typedef group::object object;
+
+group test_dd_group("geos::math::DD");
+
+//
+// Test Cases
+//
+
+// Test PI calculation
+template<>
+template<>
+void object::test<1>
+()
+{
+    DD testPi = computePiByMachin();
+    double err = std::abs((testPi - pi).doubleValue());
+    // std::cout << "Difference from PI = " << err << std::endl;
+    ensure("Test PI calculation", err < 8*eps);
+}
+
+// Test E calculation
+template<>
+template<>
+void object::test<2>
+()
+{
+    DD testE = computeEByTaylorSeries();
+    double err = std::abs((testE - e).doubleValue());
+    // std::cout << "Difference from E = " << err << std::endl;
+    ensure("Test E calculation", err < eps);
+}
+
+
+// Test NaN
+template<>
+template<>
+void object::test<3>
+()
+{
+    DD nan = DD(1.0) / DD(0.0);
+    ensure("isNan", nan.isNaN());
+    ensure("isNan", (DD(1.0) * nan).isNaN());
+}
+
+// testAddMult2
+template<>
+template<>
+void object::test<4>
+()
+{
+    checkAddMult2(DD(3.0));
+    checkAddMult2(DD(pi));
+}
+
+
+// testMultiplyDivide
+template<>
+template<>
+void object::test<5>
+()
+{
+    checkMultiplyDivide(DD(pi), DD(e), 1e-30);
+    checkMultiplyDivide(DD(DD(2.0)*pi), DD(e), 1e-30);
+    checkMultiplyDivide(DD(DD(0.5)*pi), DD(e), 1e-30);
+    checkMultiplyDivide(DD(39.4), DD(10), 1e-30);
+}
+
+
+// testDivideMultiply
+template<>
+template<>
+void object::test<6>
+()
+{
+    checkDivideMultiply(DD(pi), DD(e), 1e-30);
+    checkDivideMultiply(DD(39.4), DD(10), 1e-30);
+}
+
+
+// testTrunc
+template<>
+template<>
+void object::test<7>
+()
+{
+    checkTrunc(DD(1e16) - DD(1), DD(1e16) - DD(1));
+    // the appropriate error bound is determined empirically
+    checkTrunc(DD(pi), DD(3));
+    checkTrunc(DD(999.999), DD(999));
+
+    checkTrunc(DD(e).negate(), DD(-2));
+    checkTrunc(DD(-999.999), DD(-999));
+}
+
+// testPow
+template<>
+template<>
+void object::test<8>
+()
+{
+    checkPow(0, 3, 16 * eps);
+    checkPow(0, 3, 16 * eps);
+    checkPow(14, 3, 16 * eps);
+    checkPow(3, -5, 16 * eps);
+    checkPow(-3, 5, 16 * eps);
+    checkPow(-3, -5, 16 * eps);
+    checkPow(0.12345, -5, 1e5 * eps);
+}
+
+
+// testReciprocal
+template<>
+template<>
+void object::test<9>
+()
+{
+    checkReciprocal(3.0, 0);
+    checkReciprocal(99.0, 1e-29);
+    checkReciprocal(999.0, 0);
+    checkReciprocal(314159269.0, 0);
+}
+
+// testDeterminant
+template<>
+template<>
+void object::test<10>
+()
+{
+    checkDeterminant(3, 8, 4, 6, -14, 0);
+    checkDeterminantDD(3, 8, 4, 6, -14, 0);
+}
+
+// testDeterminantRobust
+template<>
+template<>
+void object::test<11>
+()
+{
+    checkDeterminant(1.0e9, 1.0e9 - 1, 1.0e9 - 1, 1.0e9 - 2, -1, 0);
+    checkDeterminantDD(1.0e9, 1.0e9 - 1, 1.0e9 - 1, 1.0e9 - 2, -1, 0);
+}
+
+
+// testBinom
+template<>
+template<>
+void object::test<12>
+()
+{
+    checkBinomialSquare(100.0, 1.0);
+    checkBinomialSquare(1000.0, 1.0);
+    checkBinomialSquare(10000.0, 1.0);
+    checkBinomialSquare(100000.0, 1.0);
+    checkBinomialSquare(1000000.0, 1.0);
+    checkBinomialSquare(1e8, 1.0);
+    checkBinomialSquare(1e10, 1.0);
+    checkBinomialSquare(1e14, 1.0);
+    // Following call will fail, because it requires 32 digits of precision
+    // checkBinomialSquare(1e16, 1.0);
+
+    checkBinomialSquare(1e14, 291.0);
+    checkBinomialSquare(5e14, 291.0);
+    checkBinomialSquare(5e14, 345291.0);
+}
+
+// testBinom2
+template<>
+template<>
+void object::test<13>
+()
+{
+    checkBinomial2(100.0, 1.0);
+    checkBinomial2(1000.0, 1.0);
+    checkBinomial2(10000.0, 1.0);
+    checkBinomial2(100000.0, 1.0);
+    checkBinomial2(1000000.0, 1.0);
+    checkBinomial2(1e8, 1.0);
+    checkBinomial2(1e10, 1.0);
+    checkBinomial2(1e14, 1.0);
+
+    checkBinomial2(1e14, 291.0);
+
+    checkBinomial2(5e14, 291.0);
+    checkBinomial2(5e14, 345291.0);
+}
+
+
+
+} // namespace tut
+

-----------------------------------------------------------------------

Summary of changes:
 .codecov.yml                                       |    1 -
 Makefile.am                                        |    1 -
 NEWS                                               |    1 +
 configure.ac                                       |    3 +-
 doc/Doxyfile.in                                    |    1 -
 include/geos/Makefile.am                           |    1 +
 include/geos/algorithm/CGAlgorithmsDD.h            |   16 +-
 include/geos/algorithm/Makefile.am                 |    3 +-
 include/geos/algorithm/RayCrossingCounterDD.h      |    1 -
 include/geos/algorithm/ttmath/COPYRIGHT            |   28 -
 include/geos/algorithm/ttmath/Makefile.am          |   24 -
 include/geos/algorithm/ttmath/README               |   23 -
 include/geos/algorithm/ttmath/ttmath.h             | 2880 ---------
 include/geos/algorithm/ttmath/ttmathbig.h          | 6093 --------------------
 include/geos/algorithm/ttmath/ttmathdec.h          |  419 --
 include/geos/algorithm/ttmath/ttmathint.h          | 1923 ------
 include/geos/algorithm/ttmath/ttmathmisc.h         |  250 -
 include/geos/algorithm/ttmath/ttmathobjects.h      |  812 ---
 include/geos/algorithm/ttmath/ttmathparser.h       | 2777 ---------
 include/geos/algorithm/ttmath/ttmaththreads.h      |  252 -
 include/geos/algorithm/ttmath/ttmathtypes.h        |  718 ---
 include/geos/algorithm/ttmath/ttmathuint.h         | 4189 --------------
 include/geos/algorithm/ttmath/ttmathuint_noasm.h   | 1038 ----
 include/geos/algorithm/ttmath/ttmathuint_x86.h     | 1620 ------
 include/geos/algorithm/ttmath/ttmathuint_x86_64.h  | 1177 ----
 .../algorithm/ttmath/ttmathuint_x86_64_msvc.asm    |  551 --
 include/geos/math/DD.h                             |  204 +
 include/geos/math/Makefile.am                      |   11 +
 src/Makefile.am                                    |    2 +
 src/algorithm/CGAlgorithmsDD.cpp                   |    7 +-
 src/algorithm/InteriorPointArea.cpp                |    1 -
 src/geom/LineString.cpp                            |    2 +-
 src/math/DD.cpp                                    |  403 ++
 src/{operation/sharedpaths => math}/Makefile.am    |    8 +-
 tests/unit/Makefile.am                             |    1 +
 tests/unit/math/DDTest.cpp                         |  414 ++
 36 files changed, 1052 insertions(+), 24803 deletions(-)
 delete mode 100644 include/geos/algorithm/ttmath/COPYRIGHT
 delete mode 100644 include/geos/algorithm/ttmath/Makefile.am
 delete mode 100644 include/geos/algorithm/ttmath/README
 delete mode 100644 include/geos/algorithm/ttmath/ttmath.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathbig.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathdec.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathint.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathmisc.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathobjects.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathparser.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmaththreads.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathtypes.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathuint.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathuint_noasm.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathuint_x86.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathuint_x86_64.h
 delete mode 100644 include/geos/algorithm/ttmath/ttmathuint_x86_64_msvc.asm
 create mode 100644 include/geos/math/DD.h
 create mode 100644 include/geos/math/Makefile.am
 create mode 100644 src/math/DD.cpp
 copy src/{operation/sharedpaths => math}/Makefile.am (56%)
 create mode 100644 tests/unit/math/DDTest.cpp


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