author | Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com> |
Tue, 27 Apr 2010 17:34:09 +0300 | |
branch | RCL_3 |
changeset 12 | b52e29b42806 |
parent 0 | d46562c3d99d |
permissions | -rw-r--r-- |
0
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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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|
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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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|
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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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128 |
{ |
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129 |
|
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return hgAdd64(a,hgMul64(b,c)); |
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} |
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132 |
|
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133 |
|
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134 |
|
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135 |
|
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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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150 |
|
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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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|
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hh += (lh>>16); |
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hh += (hl>>16); |
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|
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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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|
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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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|
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return hh; |
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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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// 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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|
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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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|
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hh += (lh>>16); |
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hh += (hl>>16); |
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|
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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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|
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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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|
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return hgSet64((TInt32)(hh),(TInt32)(ll)); |
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} |
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|
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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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|
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if(y > fpi>>1) |
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y = fpi-y; |
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|
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y <<= 1; |
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|
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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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|
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if(x > (fpi>>1)) |
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r =-r; |
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|
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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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/*=======================================================================*/ |
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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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|
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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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|
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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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|
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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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} |