kernel/eka/euser/maths/um_sqrt.cpp
author Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
Mon, 18 Jan 2010 21:31:10 +0200
changeset 11 329ab0095843
parent 9 96e5fb8b040d
permissions -rw-r--r--
Revision: 201003 Kit: 201003
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
9
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     1
// Copyright (c) 1995-2009 Nokia Corporation and/or its subsidiary(-ies).
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     2
// All rights reserved.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     3
// This component and the accompanying materials are made available
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     4
// under the terms of the License "Eclipse Public License v1.0"
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     5
// which accompanies this distribution, and is available
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     6
// at the URL "http://www.eclipse.org/legal/epl-v10.html".
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     7
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     8
// Initial Contributors:
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
     9
// Nokia Corporation - initial contribution.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    10
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    11
// Contributors:
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    12
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    13
// Description:
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    14
// e32\euser\maths\um_sqrt.cpp
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    15
// Square root.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    16
// 
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    17
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    18
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    19
#include "um_std.h"
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    20
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    21
#if defined(__USE_VFP_MATH) && !defined(__CPU_HAS_VFP)
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    22
#error	__USE_VFP_MATH was defined but not __CPU_HAS_VFP - impossible combination, check variant.mmh 
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    23
#endif
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    24
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    25
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    26
#ifndef __USE_VFP_MATH
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    27
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    28
#ifndef __REALS_MACHINE_CODED__
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    29
LOCAL_D const TUint32 KConstAdata[] = {0x00000000,0xD5A9A805,0x7FFD0000};
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    30
LOCAL_D const TUint32 KConstBdata[] = {0x00000000,0x9714B9CB,0x7FFE0000};
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    31
LOCAL_D const TUint32 Sqr2Invdata[] = {0xF9DE6484,0xB504F333,0x7FFE0000};		// 1/sqr2
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    32
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    33
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    34
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    35
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    36
EXPORT_C TInt Math::Sqrt(TReal& aTrg,const TReal &aSrc)
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    37
/**
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    38
Calculates the square root of a number.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    39
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    40
@param aTrg A reference containing the result. 
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    41
@param aSrc The number whose square-root is required.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    42
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    43
@return KErrNone if successful, otherwise another of
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    44
        the system-wide error codes. 
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    45
*/
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    46
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    47
// Fast sqrt routine. See Software manual by W.J.Cody & W.Waite Chapter 4.
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    48
//
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    49
	{
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    50
	const TRealX& KConstA=*(const TRealX*)KConstAdata;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    51
	const TRealX& KConstB=*(const TRealX*)KConstBdata;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    52
	const TRealX& Sqr2Inv=*(const TRealX*)Sqr2Invdata;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    53
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    54
	TRealX x;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    55
	TInt r=x.Set(aSrc);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    56
	if (x.IsZero())
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    57
		{
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    58
		aTrg=aSrc;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    59
		return(KErrNone);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    60
		}   
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    61
	if (r==KErrArgument || x.iSign&1)
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    62
		{
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    63
		SetNaN(aTrg);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    64
		return(KErrArgument);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    65
		}
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    66
	if (r==KErrOverflow)	// positive infinity
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    67
		{
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    68
		aTrg=aSrc;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    69
		return(r);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    70
		}
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    71
	TInt n=x.iExp-0x7FFE;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    72
	x.iExp=0x7FFE;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    73
	TRealX y=KConstB*x+KConstA;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    74
	y=y+(x/y);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    75
	y.iExp--;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    76
	y=y+(x/y);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    77
	y.iExp--;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    78
	y=y+(x/y);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    79
	y.iExp--;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    80
	if (n&1)
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    81
		{
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    82
		y*=Sqr2Inv;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    83
		n++;
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    84
		}
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    85
	y.iExp=TUint16(TInt(y.iExp)+(n>>1));
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    86
	return y.GetTReal(aTrg);
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    87
	}
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    88
#endif
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    89
96e5fb8b040d Revision: 200951
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
    90
#endif // !__USE_VFP_MATH - VFP version is in assembler