--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/kernel/eka/euser/maths/um_asin.cpp Thu Dec 17 09:24:54 2009 +0200
@@ -0,0 +1,183 @@
+// Copyright (c) 1995-2009 Nokia Corporation and/or its subsidiary(-ies).
+// All rights reserved.
+// This component and the accompanying materials are made available
+// under the terms of the License "Eclipse Public License v1.0"
+// which accompanies this distribution, and is available
+// at the URL "http://www.eclipse.org/legal/epl-v10.html".
+//
+// Initial Contributors:
+// Nokia Corporation - initial contribution.
+//
+// Contributors:
+//
+// Description:
+// e32\euser\maths\um_asin.cpp
+// Arc sin.
+//
+//
+
+#include "um_std.h"
+
+#if defined(__USE_VFP_MATH) && !defined(__CPU_HAS_VFP)
+#error __USE_VFP_MATH was defined but not __CPU_HAS_VFP - impossible combination, check variant.mmh
+#endif
+
+#ifndef __USE_VFP_MATH
+
+LOCAL_D const TUint32 ArcsinCoeffs[] =
+ {
+ 0x00000000,0x80000000,0x7FFF0000, // polynomial approximation to arcsin(x)
+ 0xAA893CD8,0xAAAAAAAA,0x7FFC0000, // for -0.5<=x<=0.5
+ 0xD07ED410,0x99999999,0x7FFB0000,
+ 0xB6C64A72,0xB6DB6D94,0x7FFA0000,
+ 0xF5527DD4,0xF8E3995C,0x7FF90000,
+ 0xA87499FB,0xB744B969,0x7FF90000,
+ 0x2E8953AD,0x8E392B24,0x7FF90000,
+ 0xFEDBB4E4,0xE3481C4A,0x7FF80000,
+ 0x4A32ED70,0xC89998E1,0x7FF80000,
+ 0x848A2B53,0xCCAE4AE5,0x7FF70000,
+ 0x09C1F387,0xA587A043,0x7FF90000,
+ 0x722B9041,0x8C9BD20B,0x7FF90001,
+ 0xC88B75CC,0x850CE779,0x7FFA0000
+ };
+
+LOCAL_D const TUint32 Onedata[] = {0x00000000,0x80000000,0x7FFF0000}; // 1.0
+LOCAL_D const TUint32 Halfdata[] = {0x00000000,0x80000000,0x7FFE0000}; // 0.5
+LOCAL_D const TUint32 Pidata[] = {0x2168C235,0xC90FDAA2,0x80000000}; // pi
+LOCAL_D const TUint32 PiBy2data[] = {0x2168C235,0xC90FDAA2,0x7FFF0000}; // pi/2
+
+LOCAL_C TInt CalcArcsinArccos(TReal& aTrg, TRealX& x, TBool aCos)
+ {
+ // Calculate arcsin (if aCos false) or arccos (if aCos true) of x
+ // and write result to aTrg.
+ // Algorithm (arcsin):
+ // If x>0.5, replace x with Sqrt((1-x)/2)
+ // ( use identity cos(x)=2(cos(x/2))^2-1 )
+ // Use polynomial approximation for arcsin(x), 0<=x<=0.5
+ // If original x>0.5, replace result y with pi/2-2y
+
+ const TRealX One = *(const TRealX*)Onedata;
+ const TRealX Half = *(const TRealX*)Halfdata;
+ const TRealX Pi = *(const TRealX*)Pidata;
+ const TRealX PiBy2 = *(const TRealX*)PiBy2data;
+
+ TInt sign=x.iSign&1;
+ x.iSign=0;
+ if (x<=One)
+ {
+ TBool big=(x>Half);
+ if (big)
+ {
+ x=One-x;
+ if (x.iExp>1)
+ x.iExp--;
+ TReal temp;
+ Math::Sqrt(temp, (TReal)x);
+ x=temp;
+ }
+ TRealX y;
+ Math::PolyX(y,x*x,12,(const TRealX*)ArcsinCoeffs);
+ y*=x;
+ if (big)
+ {
+ if (y.iExp)
+ y.iExp++;
+ if (aCos)
+ {
+ if (sign)
+ y=Pi-y;
+ }
+ else
+ {
+ y=PiBy2-y;
+ y.iSign=TInt8(sign);
+ }
+ }
+ else
+ {
+ y.iSign=TInt8(sign);
+ if (aCos)
+ y=PiBy2-y;
+ }
+ return y.GetTReal(aTrg);
+ }
+ return KErrArgument;
+ }
+
+
+
+
+EXPORT_C TInt Math::ASin(TReal& aTrg, const TReal& aSrc)
+/**
+Calculates the principal value of the inverse sine of a number.
+
+@param aTrg A reference containing the result in radians,
+ a value between -pi/2 and +pi/2.
+@param aSrc The argument of the arcsin function, a value
+ between -1 and +1 inclusive.
+
+@return KErrNone if successful, otherwise another of the system-wide
+ error codes.
+*/
+ {
+ TRealX x;
+ TInt r=x.Set(aSrc);
+ if (r==KErrNone)
+ r=CalcArcsinArccos(aTrg,x,EFalse);
+ if (r==KErrNone)
+ return r;
+ SetNaN(aTrg);
+ return KErrArgument;
+ }
+
+
+
+
+EXPORT_C TInt Math::ACos(TReal& aTrg, const TReal& aSrc)
+/**
+Calculates the principal value of the inverse cosine of a number.
+
+@param aTrg A reference containing the result in radians,
+ a value between 0 and pi.
+@param aSrc The argument of the arccos function, a value
+ between -1 and +1 inclusive.
+
+@return KErrNone if successful, otherwise another of the system-wide
+ error codes.
+*/
+ {
+ TRealX x;
+ TInt r=x.Set(aSrc);
+ if (r==KErrNone)
+ r=CalcArcsinArccos(aTrg,x,ETrue);
+ if (r==KErrNone)
+ return r;
+ SetNaN(aTrg);
+ return KErrArgument;
+ }
+
+#else // __USE_VFP_MATH
+
+// definitions come from RVCT math library
+extern "C" TReal asin(TReal);
+extern "C" TReal acos(TReal);
+
+EXPORT_C TInt Math::ASin(TReal& aTrg, const TReal& aSrc)
+ {
+ aTrg = asin(aSrc);
+ if (Math::IsFinite(aTrg))
+ return KErrNone;
+ SetNaN(aTrg);
+ return KErrArgument;
+ }
+
+EXPORT_C TInt Math::ACos(TReal& aTrg, const TReal& aSrc)
+ {
+ aTrg = acos(aSrc);
+ if (Math::IsFinite(aTrg))
+ return KErrNone;
+ SetNaN(aTrg);
+ return KErrArgument;
+ }
+
+#endif