svgtopt/gfx2d/src/Gfxtrignometric.cpp
author Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
Thu, 07 Jan 2010 16:19:02 +0200
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/*
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* Copyright (c) 2002 Nokia Corporation and/or its subsidiary(-ies).
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* All rights reserved.
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* This component and the accompanying materials are made available
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* under the terms of "Eclipse Public License v1.0"
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* which accompanies this distribution, and is available
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* at the URL "http://www.eclipse.org/legal/epl-v10.html".
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*
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* Initial Contributors:
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* Nokia Corporation - initial contribution.
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*
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* Contributors:
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*
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* Description:  Graphics Extension Library source file
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*
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*/
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//File to implement functions to calculate trignomtric function
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#include "Gfxtrignometric.h"
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 /*-------------------------------------------------------------------*/
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// --------------------------------------------------------------------------
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// TInt32 GfxMath::hgAbs32 (TInt32 a)
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// ---------------------------------------------------------------------------
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TInt32 GfxMath::hgAbs32 (TInt32 a)
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{
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	return (a >= 0) ? a : -a;
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}
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/*-------------------------------------------------------------------*//*!
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 * \brief	Performs signed 32x32->64 multiplication, returns high 32 bits
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 * \param	a	First 32-bit signed integer
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 * \param	b	Second 32-bit signed integer
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 * \return	((int64)(a)*b)>>32
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 *//*-------------------------------------------------------------------*/
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// --------------------------------------------------------------------------
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// TInt32 GfxMath::hgLsl64h_0_31 (
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	// ---------------------------------------------------------------------------
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	TInt32 GfxMath::hgLsl64h_0_31 (
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							   // --------------------------------------------------------------------------
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							   // const GfxMath::TGfxInt64	a,
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							   // ---------------------------------------------------------------------------
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							   const GfxMath::TGfxInt64	a,
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							   TInt32			sh)
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{
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	return ((a.h << sh) | ((TUint32)(a.l) >> (32-sh)));
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}
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// --------------------------------------------------------------------------
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// GfxMath::TGfxInt64 GfxMath::hgSet64(TInt32 hh,TInt32 ll)
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// ---------------------------------------------------------------------------
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GfxMath::TGfxInt64 GfxMath::hgSet64(TInt32 hh,TInt32 ll)
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{
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	TGfxInt64 a;
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	a.l=ll;
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	a.h=hh;
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	return a;
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}
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// --------------------------------------------------------------------------
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// GfxMath::TGfxInt64 GfxMath::hgMul64 (
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	// ---------------------------------------------------------------------------
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	GfxMath::TGfxInt64 GfxMath::hgMul64 (
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	TInt32 a,
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	TInt32 b)
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{
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	TUint32 hh		= (TUint32)((a>>16)   *(b>>16));
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	TUint32 lh		= (TUint32)((a&0xFFFF)*(b>>16));
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	TUint32 hl		= (TUint32)((a>>16)   *(b&0xFFFF));
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	TUint32 ll		= (TUint32)((a&0xFFFF)*(b&0xFFFF));
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	TUint32 oldlo;
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	hh += (TInt32)(lh)>>16;
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	hh += (TInt32)(hl)>>16;
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	oldlo	=  ll;
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	ll		+= lh<<16;
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	if (ll < oldlo)
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		hh++;
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	oldlo	=  ll;
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	ll		+= hl<<16;
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	if (ll < oldlo)
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		hh++;
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	return hgSet64((TInt32)hh,(TInt32)ll);
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}
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// --------------------------------------------------------------------------
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// GfxMath::TGfxInt64 GfxMath::hgAdd64 (
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	// ---------------------------------------------------------------------------
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	GfxMath::TGfxInt64 GfxMath::hgAdd64 (
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	const TGfxInt64 a,
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	const TGfxInt64 b)
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{
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	TInt32 hi		= a.h+b.h;
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	TInt32 lo		= a.l+b.l;
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	hi += ((TUint32)(lo) < (TUint32)(a.l)) ? 1 : 0;
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	return hgSet64(hi, lo);
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}
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// --------------------------------------------------------------------------
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// GfxMath::TGfxInt64 GfxMath::hgMadd64 (
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	// ---------------------------------------------------------------------------
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	GfxMath::TGfxInt64 GfxMath::hgMadd64 (
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	 // --------------------------------------------------------------------------
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	 // GfxMath::TGfxInt64 a,
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	 // ---------------------------------------------------------------------------
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	 GfxMath::TGfxInt64 a,
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	TInt32 b,
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	TInt32 c)
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{
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	return hgAdd64(a,hgMul64(b,c));
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}
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/*-------------------------------------------------------------------*//*!
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 * \brief	Performs unsigned 32x32->64 multiplication, returns high
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 *			32 bits
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 * \param	a	First 32-bit  unsigned integer
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 * \param	b	Second 32-bit unsigned integer
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 * \return	((unsigned int64)(a)*b)>>32
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 *//*-------------------------------------------------------------------*/
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 // --------------------------------------------------------------------------
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 // TUint32 GfxMath::hgMulu64h (
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	 // ---------------------------------------------------------------------------
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	 TUint32 GfxMath::hgMulu64h (
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	TUint32 a,
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	TUint32 b)
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{
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	TUint32 hh = (a>>16)	* (b>>16);
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	TUint32 lh = (a&0xFFFF)* (b>>16);
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	TUint32 hl = (a>>16)	* (b&0xFFFFu);
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	TUint32 ll = (a&0xFFFF)* (b&0xFFFFu);
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	TUint32 oldlo;
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	hh += (lh>>16);
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	hh += (hl>>16);
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	oldlo = ll;
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	ll += lh<<16;
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	if (ll < oldlo)
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		hh++;
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	oldlo = ll;
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	ll += hl<<16;
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	if (ll < oldlo)
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		hh++;
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	return hh;
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}
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//-----------------------------------------------*/
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 // --------------------------------------------------------------------------
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 // GfxMath::TGfxInt64 GfxMath::hgMulu64 (
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	 // ---------------------------------------------------------------------------
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	 GfxMath::TGfxInt64 GfxMath::hgMulu64 (
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	TUint32 a,
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	TUint32 b)
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{
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	TUint32 hh = (a>>16)	* (b>>16);
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	TUint32 lh = (a&0xFFFF)* (b>>16);
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	TUint32 hl = (a>>16)	* (b&0xFFFFu);
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	TUint32 ll = (a&0xFFFF)* (b&0xFFFFu);
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	TUint32 oldlo;
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	hh += (lh>>16);
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	hh += (hl>>16);
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	oldlo = ll;
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	ll += lh<<16;
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	if (ll < oldlo)
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		hh++;
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	oldlo = ll;
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	ll += hl<<16;
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	if (ll < oldlo)
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		hh++;
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	return hgSet64((TInt32)(hh),(TInt32)(ll));
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}
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// --------------------------------------------------------------------------
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// TInt GfxMath::svgiRCos( TInt32 _x )
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// ---------------------------------------------------------------------------
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TInt GfxMath::svgiRCos( TInt32 _x )
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{
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	TUint32 fpi = 0x6487ED51;
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	TUint32 y;
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	TUint32 x = hgAbs32(_x);
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	y = x;
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	if(y > fpi>>1)
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		y = fpi-y;
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	y <<= 1;
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	/* Taylor series expansion around point x */
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	/* NOTE: to adjust approximation accuracy vs speed, remove or add iterations in pairs */
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	{
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		TUint32 t;
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		TGfxInt64 c  = hgMulu64(y,y<<1);
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		TInt32	x2 = hgLsl64h_0_31(c,1);
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 		t = hgMulu64h(x2,x2);
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		c = hgMadd64(c, t,-(0x55555555>>1)-1);
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		t = hgMulu64h(t,x2);
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		c = hgMadd64(c, t, (0x5B05B05B>>4));
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		t = hgMulu64h(t,x2);
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		c = hgMadd64(c, t,-(0x68068068>>8)+1);
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		t = hgMulu64h(t,x2);
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		c = hgMadd64(c, t, (0x49F93EDD>>12)+1);
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		t = hgMulu64h(t,x2);
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		c = hgMadd64(c, t,-(0x47BB63BF>>17));
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		{
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			TInt32 r = c.h;
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			r = (0x40000000 - r)>>1;
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			if(x > (fpi>>1))
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				r =-r;
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			return r;
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		}
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	}
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}
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/*=======================================================================*/
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/*=======================================================================*/
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// --------------------------------------------------------------------------
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// TInt GfxMath::svgScalarSin( TInt r1 )
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// ---------------------------------------------------------------------------
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TInt GfxMath::svgScalarSin( TInt r1 )
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{
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	TInt32 foo;
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	r1 -= 0x6487ED51>>14;
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	foo = hgLsl64h_0_31(hgMul64(r1,0x517CC1B7),15);
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	foo = hgMulu64h(foo,0x6487ED51);
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	if( foo >= 0x6487ED51>>1 )
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		foo -= 0x6487ED51>>0;
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	return svgiRCos(foo<<1) >> 13;
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}
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/*=======================================================================*/
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/*=======================================================================*/
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// --------------------------------------------------------------------------
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// TInt GfxMath::svgScalarCos( TInt r1 )
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// ---------------------------------------------------------------------------
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TInt GfxMath::svgScalarCos( TInt r1 )
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{
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	TInt32 foo;
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	foo = hgLsl64h_0_31(hgMul64(r1,0x517CC1B7),15);
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	foo = hgMulu64h(foo,0x6487ED51);
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	if( foo >= 0x6487ED51>>1 )
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		foo -= 0x6487ED51>>0;
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	return svgiRCos(foo<<1) >> 13;
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}
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/*=======================================================================*/
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/*=======================================================================*/
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// --------------------------------------------------------------------------
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// TInt GfxMath::svgScalarTan( TInt r1 )
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// ---------------------------------------------------------------------------
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TInt GfxMath::svgScalarTan( TInt r1 )
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{
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	TInt lSin = svgScalarSin(r1);
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		if(!lSin)
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			return 0xffffffff; //highest value possible to indicate error
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	TInt lCos = svgScalarCos(r1);
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		if ( !lCos  )
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		{
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		return 0xffffffff;
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		}
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	return (((lSin << 15) / lCos)<<1);
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}