author | Pat Downey <patrick.downey@nokia.com> |
Thu, 25 Jun 2009 15:59:54 +0100 | |
changeset 1 | 0a7b44b10206 |
child 2 | 806186ab5e14 |
permissions | -rw-r--r-- |
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// Copyright (c) 1995-2009 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 the License "Symbian Foundation License v1.0" |
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// which accompanies this distribution, and is available |
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// at the URL "http://www.symbianfoundation.org/legal/sfl-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: |
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// e32\euser\maths\um_ln.cpp |
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// Natural log. |
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// |
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// |
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#include "um_std.h" |
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#if defined(__USE_VFP_MATH) && !defined(__CPU_HAS_VFP) |
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#error __USE_VFP_MATH was defined but not __CPU_HAS_VFP - impossible combination, check variant.mmh |
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#endif |
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#ifndef __USE_VFP_MATH |
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LOCAL_D const TUint32 ArtanhCoeffs[] = |
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{ |
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0x5C17F0BC,0xB8AA3B29,0x80010000, // polynomial approximation to (4/ln2)artanh(x) |
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0xD02489EE,0xF6384EE1,0x7FFF0000, // for |x| <= (sqr2-1)/(sqr2+1) |
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0x7008CA5F,0x93BB6287,0x7FFF0000, |
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0xE32D1D6B,0xD30BB16D,0x7FFE0000, |
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0x461D071E,0xA4257CE2,0x7FFE0000, |
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0xC3B0EC87,0x8650D459,0x7FFE0000, |
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0x53BEC0CD,0xE23137E3,0x7FFD0000, |
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0xC523F21B,0xDAF79221,0x7FFD0000 |
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}; |
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LOCAL_D const TUint32 Ln2By2data[] = {0xD1CF79AC,0xB17217F7,0x7FFD0000}; // (ln2)/2 |
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LOCAL_D const TUint32 Sqr2data[] = {0xF9DE6484,0xB504F333,0x7FFF0000}; // sqr2 |
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LOCAL_D const TUint32 Sqr2Invdata[] = {0xF9DE6484,0xB504F333,0x7FFE0000}; // 1/sqr2 |
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LOCAL_D const TUint32 Onedata[] = {0x00000000,0x80000000,0x7FFF0000}; // 1.0 |
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EXPORT_C TInt Math::Ln(TReal& aTrg, const TReal& aSrc) |
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/** |
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Calculates the natural logarithm of a number. |
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@param aTrg A reference containing the result. |
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@param aSrc The number whose natural logarithm is required. |
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@return KErrNone if successful, otherwise another of |
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the system-wide error codes. |
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*/ |
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{ |
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// Calculate ln(aSrc) and write to aTrg |
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// Algorithm: |
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// Calculate log2(aSrc) and multiply by ln2 |
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// log2(aSrc)=log2(2^e.m) e=exponent of aSrc, m=mantissa 1<=m<2 |
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// log2(aSrc)=e+log2(m) |
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// If e=-1 (0.5<=aSrc<1), let x=aSrc else let x=mantissa(aSrc) |
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// If x>Sqr2, replace x with x/Sqr2 |
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// If x<Sqr2/2, replace x with x*Sqr2 |
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// Replace x with (x-1)/(x+1) |
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// Use polynomial to calculate artanh(x) for |x| <= (sqr2-1)/(sqr2+1) |
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// ( use identity ln(x) = 2artanh((x-1)/(x+1)) ) |
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TRealX x; |
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const TRealX& Ln2By2=*(const TRealX*)Ln2By2data; |
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const TRealX& Sqr2=*(const TRealX*)Sqr2data; |
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const TRealX& Sqr2Inv=*(const TRealX*)Sqr2Invdata; |
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const TRealX& One=*(const TRealX*)Onedata; |
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TInt r=x.Set(aSrc); |
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if (r==KErrNone) |
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{ |
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if (x.iExp==0) |
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{ |
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SetInfinite(aTrg,1); |
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return KErrOverflow; |
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} |
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if (x.iSign&1) |
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{ |
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SetNaN(aTrg); |
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return KErrArgument; |
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} |
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TInt n=(x.iExp-0x7FFF)<<1; |
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x.iExp=0x7FFF; |
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if (n!=-2) |
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{ |
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if (x>Sqr2) |
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{ |
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x*=Sqr2Inv; |
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n++; |
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} |
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} |
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else |
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{ |
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n=0; |
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x.iExp=0x7FFE; |
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if (x<Sqr2Inv) |
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{ |
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x*=Sqr2; |
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n--; |
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} |
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} |
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x=(x-One)/(x+One); // ln(x)=2artanh((x-1)/(x+1)) |
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111 |
TRealX y; |
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112 |
PolyX(y,x*x,7,(const TRealX*)ArtanhCoeffs); |
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113 |
y*=x; |
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114 |
y+=TRealX(n); |
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115 |
y*=Ln2By2; |
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116 |
return y.GetTReal(aTrg); |
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117 |
} |
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118 |
if (r==KErrArgument || (r==KErrOverflow && (x.iSign&1))) |
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119 |
{ |
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120 |
SetNaN(aTrg); |
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121 |
return KErrArgument; |
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122 |
} |
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123 |
SetInfinite(aTrg,0); |
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124 |
return KErrOverflow; |
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125 |
} |
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126 |
|
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127 |
#else // __USE_VFP_MATH |
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128 |
|
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129 |
// definitions come from RVCT math library |
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130 |
extern "C" TReal log(TReal); |
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131 |
|
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132 |
EXPORT_C TInt Math::Ln(TReal& aTrg, const TReal& aSrc) |
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133 |
{ |
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134 |
aTrg = log(aSrc); |
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135 |
if (Math::IsFinite(aTrg)) |
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136 |
return KErrNone; |
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137 |
if (Math::IsInfinite(aTrg)) |
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138 |
return KErrOverflow; |
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139 |
SetNaN(aTrg); |
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140 |
return KErrArgument; |
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141 |
} |
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142 |
|
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143 |
#endif |