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/**********************************************************************
* $Id: DoubleBits.cpp,v 1.17 2004/12/08 13:54:43 strk Exp $
*
* GEOS - Geometry Engine Open Source
* http://geos.refractions.net
*
* Copyright (C) 2001-2002 Vivid Solutions Inc.
*
* 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 <geos/indexQuadtree.h>
#include <geos/util.h>
namespace geos {
double
DoubleBits::powerOf2(int exp)
{
if (exp>1023 || exp<-1022)
throw new IllegalArgumentException("Exponent out of bounds");
#if ASSUME_IEEE_DOUBLE
int64 expBias=exp+EXPONENT_BIAS;
int64 bits=expBias << 52;
double ret;
memcpy(&ret, &bits, sizeof(int64));
return ret;
#else
return pow(2.0, exp);
#endif
}
int
DoubleBits::exponent(double d)
{
DoubleBits db(d);
return db.getExponent();
}
double
DoubleBits::truncateToPowerOfTwo(double d)
{
DoubleBits db(d);
db.zeroLowerBits(52);
return db.getDouble();
}
string DoubleBits::toBinaryString(double d) {
DoubleBits db(d);
return db.toString();
}
double
DoubleBits::maximumCommonMantissa(double d1, double d2)
{
if (d1==0.0 || d2==0.0) return 0.0;
DoubleBits db1(d1);
DoubleBits db2(d2);
if (db1.getExponent() != db2.getExponent()) return 0.0;
int maxCommon=db1.numCommonMantissaBits(&db2);
db1.zeroLowerBits(64-(12+maxCommon));
return db1.getDouble();
}
DoubleBits::DoubleBits(double nx)
{
#if ASSUME_IEEE_DOUBLE
memcpy(&xBits,&nx,sizeof(double));
#endif
x = nx;
}
double DoubleBits::getDouble()
{
return x;
}
/**
* Determines the exponent for the number
*
* @return
*/
int64
DoubleBits::biasedExponent()
{
int64 signExp=xBits>>52;
int64 exp=signExp&0x07ff;
//cerr<<"xBits:"<<xBits<<" signExp:"<<signExp<<" exp:"<<exp<<endl;
return exp;
}
/*
* Determines the exponent for the number
*
* @return
*/
int
DoubleBits::getExponent()
{
#if ASSUME_IEEE_DOUBLE
return biasedExponent()-EXPONENT_BIAS;
#else
return (int)((log(x)/log(2.0))+(x<1?-0.9:0.00000000001));
#endif
}
void
DoubleBits::zeroLowerBits(int nBits)
{
long invMask=(1L<<nBits)-1L;
long mask=~invMask;
xBits&=mask;
}
int
DoubleBits::getBit(int i)
{
long mask=(1L<<i);
return (xBits&mask)!=0?1:0;
}
/**
* This computes the number of common most-significant bits in the mantissa.
* It does not count the hidden bit, which is always 1.
* It does not determine whether the numbers have the same exponent - if they do
* not, the value computed by this function is meaningless.
* @param db
* @return the number of common most-significant mantissa bits
*/
int DoubleBits::numCommonMantissaBits(DoubleBits *db) {
for (int i=0;i<52;i++) {
//int bitIndex=i+12;
if (getBit(i)!=db->getBit(i))
return i;
}
return 52;
}
/**
* A representation of the Double bits formatted for easy readability
* @return
*/
string DoubleBits::toString() {
//String numStr = Long.toBinaryString(xBits);
//// 64 zeroes!
//String zero64 = "0000000000000000000000000000000000000000000000000000000000000000";
//String padStr = zero64 + numStr;
//String bitStr = padStr.substring(padStr.length() - 64);
//String str = bitStr.substring(0, 1) + " "
//+ bitStr.substring(1, 12) + "(" + getExponent() + ") "
//+ bitStr.substring(12)
//+ " [ " + x + " ]";
//return str;
return "";
}
} // namespace geos
/**********************************************************************
* $Log: DoubleBits.cpp,v $
* Revision 1.17 2004/12/08 13:54:43 strk
* gcc warnings checked and fixed, general cleanups.
*
* Revision 1.16 2004/11/04 08:49:13 strk
* Unlinked new documentation.
*
* Revision 1.15 2004/11/03 08:22:25 strk
* Slightly modified log/log2 based algo to better handle numbers in the
* range 0-1.
*
* Revision 1.14 2004/11/02 15:49:59 strk
*
* Moved ASSUME_IEEE_DOUBLE define from DoubleBits.cpp to indexQuadtree.h.
* Fixed a bug in powerOf2(). Made the !IEEE version less prone to
* round-offs (still has approximation errors).
*
* Revision 1.13 2004/11/02 14:13:38 strk
* Fixed bug in IEEE-based exponent and PowerOf2 computation, but disabled
* at compile time.
*
* Revision 1.12 2004/11/01 16:43:04 strk
* Added Profiler code.
* Temporarly patched a bug in DoubleBits (must check drawbacks).
* Various cleanups and speedups.
*
* Revision 1.11 2004/09/21 09:47:01 strk
* Removed useless auto_ptr usage in ::exponent
*
* Revision 1.10 2004/07/02 13:28:27 strk
* Fixed all #include lines to reflect headers layout change.
* Added client application build tips in README.
*
* Revision 1.9 2003/11/07 01:23:42 pramsey
* Add standard CVS headers licence notices and copyrights to all cpp and h
* files.
*
*
**********************************************************************/
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