e32math.h

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// 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\include\e32math.h
// 
//
 
#ifndef __E32MATH_H__
#define __E32MATH_H__
#include <e32std.h>
 
 
const TInt KMaxPrecision=15;
 
const TInt KPrecisionLimit=12;
 
const TInt KIEEEDoubleInjectivePrecision=17;
 
const TInt KMantissaBits=53;
const TInt KMaxExponent=1023;
const TInt KExponentBias=1022;
const TInt KSpecialExponent=2047;
//
 
 
const TInt KTReal32MaxExponent=128;         // changed from 127
 
 
const TInt KTReal32MinExponent=-125;
const TInt KTReal32ExponentBias=126;
const TInt KTReal32SpecialExponent=255;     // changed from KTReal32ExponentBad
 
 
const TInt KTReal32ZeroExponent=0;
//
 
 
const TInt KTReal64MaxExponent=1024;        // changed from 1023
 
 
const TInt KTReal64MinExponent=-1021;
 
 
const TInt KTReal64ExponentBias=1022;
 
 
const TInt KTReal64SpecialExponent=2047;    // changed from KTReal64BadExponent
 
 
const TInt KTReal64ZeroExponent=0;
//
 
 
const TReal KMinTReal=2.2250738585072015E-308;  // changed from TReal64
 
 
const TReal KMaxTReal=1.7976931348623157E+308;  //
//
 
 
const TReal32 KMinTReal32=1.17549435E-38f;
 
 
const TReal32 KMaxTReal32=3.4028234663852885981170418348452e+38f;
//
 
 
const TReal64 KMinTReal64=2.2250738585072015E-308;
 
 
const TReal64 KMaxTReal64=1.7976931348623157E+308;
//
 
 
const TReal KSqhf=0.70710678118654752440;
 
 
const TReal KRln2=1.4426950408889634;
 
 
const TReal KRln10=0.4342944819032518;
 
 
const TReal KRlg2=0.3010299956639812;
 
 
const TReal KPi=3.1415926535897932;
 
 
const TReal KPiInv=0.3183098861837907;
 
 
const TReal KPiBy2=1.5707963267948966;
 
 
const TReal KDrpi=0.6366197723675813;
 
 
const TReal KSqt3=1.7320508075688773;
 
 
const TReal KMsq3=0.2679491924311227;
 
 
const TReal KRadToDeg=57.29577951308232;
 
 
const TReal KDegToRad=0.017453292519943296;
 
 
 
 
class TRealX
    {
public:
    enum TRealXOrder {ELessThan=1,EEqual=2,EGreaterThan=4,EUnordered=8};
public:
    IMPORT_C TRealX();
    IMPORT_C TRealX(TInt aInt);
    IMPORT_C TRealX(TUint aInt);
    IMPORT_C TRealX(TUint aExp, TUint aMantHi, TUint aMantLo);
    IMPORT_C TRealX(const TInt64 &aInt);
    IMPORT_C TRealX(TReal32 aReal) __SOFTFP;
    IMPORT_C TRealX(TReal64 aReal) __SOFTFP;
    IMPORT_C TRealX &operator=(TInt aInt);
    IMPORT_C TRealX &operator=(TUint aInt);
    IMPORT_C TRealX &operator=(const TInt64& aInt);
    IMPORT_C TRealX &operator=(TReal32 aReal) __SOFTFP;
    IMPORT_C TRealX &operator=(TReal64 aReal) __SOFTFP;
    IMPORT_C TInt Set(TInt aInt);
    IMPORT_C TInt Set(TUint aInt);
    IMPORT_C TInt Set(const TInt64& aInt);
    IMPORT_C TInt Set(TReal32 aReal) __SOFTFP;
    IMPORT_C TInt Set(TReal64 aReal) __SOFTFP;
    IMPORT_C operator TInt() const;
    IMPORT_C operator TUint() const;
    IMPORT_C operator TInt64() const;
    IMPORT_C operator TReal32() const __SOFTFP;
    IMPORT_C operator TReal64() const __SOFTFP;
    IMPORT_C TInt GetTReal(TReal32 &aVal) const;
    IMPORT_C TInt GetTReal(TReal64 &aVal) const;
    IMPORT_C void SetZero(TBool aNegative=EFalse);
    IMPORT_C void SetNaN();
    IMPORT_C void SetInfinite(TBool aNegative);
    IMPORT_C TBool IsZero() const;
    IMPORT_C TBool IsNaN() const;
    IMPORT_C TBool IsInfinite() const;
    IMPORT_C TBool IsFinite() const;
    IMPORT_C const TRealX &operator+=(const TRealX &aVal);
    IMPORT_C const TRealX &operator-=(const TRealX &aVal);
    IMPORT_C const TRealX &operator*=(const TRealX &aVal);
    IMPORT_C const TRealX &operator/=(const TRealX &aVal);
    IMPORT_C const TRealX &operator%=(const TRealX &aVal);
    IMPORT_C TInt AddEq(const TRealX &aVal);
    IMPORT_C TInt SubEq(const TRealX &aVal);
    IMPORT_C TInt MultEq(const TRealX &aVal);
    IMPORT_C TInt DivEq(const TRealX &aVal);
    IMPORT_C TInt ModEq(const TRealX &aVal);
    IMPORT_C TRealX operator+() const;
    IMPORT_C TRealX operator-() const;
    IMPORT_C TRealX &operator++();
    IMPORT_C TRealX operator++(TInt);
    IMPORT_C TRealX &operator--();
    IMPORT_C TRealX operator--(TInt);
    IMPORT_C TRealX operator+(const TRealX &aVal) const;
    IMPORT_C TRealX operator-(const TRealX &aVal) const;
    IMPORT_C TRealX operator*(const TRealX &aVal) const;
    IMPORT_C TRealX operator/(const TRealX &aVal) const;
    IMPORT_C TRealX operator%(const TRealX &aVal) const;
    IMPORT_C TInt Add(TRealX& aResult,const TRealX &aVal) const;
    IMPORT_C TInt Sub(TRealX& aResult,const TRealX &aVal) const;
    IMPORT_C TInt Mult(TRealX& aResult,const TRealX &aVal) const;
    IMPORT_C TInt Div(TRealX& aResult,const TRealX &aVal) const;
    IMPORT_C TInt Mod(TRealX& aResult,const TRealX &aVal) const;
    IMPORT_C TRealXOrder Compare(const TRealX& aVal) const;
    inline TBool operator==(const TRealX &aVal) const;
    inline TBool operator!=(const TRealX &aVal) const;
    inline TBool operator>=(const TRealX &aVal) const;
    inline TBool operator<=(const TRealX &aVal) const;
    inline TBool operator>(const TRealX &aVal) const;
    inline TBool operator<(const TRealX &aVal) const;
public:
    // Represented as two adjacent 32 bit values, rather than one 64 value.
    // This is to avoid EABI introduced padding overheads and BC breakages. 
    // This representation works because the mantissa is always accessed from
    // assembler code as two 32 bit quantities. The C++ code that accesses it
    // now constructs an automatic TInt64 with the two components.
    TUint32 iMantLo;
    TUint32 iMantHi;
    
    TInt8 iSign;    
    
    TUint8 iFlag;
    
    TUint16 iExp;
    };
 
 
 
 
struct SPoly
    {
    TInt num;
    TReal c[1];
    };
 
 
 
 
class Math
    {
public:
    IMPORT_C static TInt ACos(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt ASin(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt ATan(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt ATan(TReal &aTrg,const TReal &aSrcY,const TReal &aSrcX);
    IMPORT_C static TInt Cos(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Exp(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Frac(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Int(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Int(TInt16 &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Int(TInt32 &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Log(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Ln(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Mod(TReal &aTrg,const TReal &aSrc,const TReal &aModulus);
    IMPORT_C static TReal Poly(TReal aVal,const SPoly *aPoly) __SOFTFP;
    IMPORT_C static TInt Pow(TReal &aTrg,const TReal &aSrc,const TReal &aPower);
    IMPORT_C static TInt Pow10(TReal &aTrg,const TInt exp);
    IMPORT_C static TInt Rand(TInt64 &aSeed);
    IMPORT_C static TReal FRand(TInt64 &aSeed) __SOFTFP;
    IMPORT_C static TUint32 Random();
    IMPORT_C static void Random(TDes8& aRandomValue);
    IMPORT_C static void RandomL(TDes8& aRandomValue);
    IMPORT_C static TUint32 RandomL();
    IMPORT_C static TInt Round(TReal &aTrg,const TReal &aSrc,TInt aDecimalPlaces);
    IMPORT_C static TInt Sin(TReal &aTrg,const TReal &aSrc); 
    IMPORT_C static TInt Sqrt(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TInt Tan(TReal &aTrg,const TReal &aSrc);
    IMPORT_C static TBool IsZero(const TReal &aVal);
    IMPORT_C static TBool IsNaN(const TReal &aVal);
    IMPORT_C static TBool IsInfinite(const TReal &aVal);
    IMPORT_C static TBool IsFinite(const TReal &aVal);
    IMPORT_C static void PolyX(TRealX& aY, const TRealX& aX, TInt aDeg, const TRealX *aCoef);
    static TInt MultPow10X(TRealX& aTrg, TInt aPower);
    IMPORT_C static void Mul64(Int64 aX, Int64 aY, Int64& aOutH, Uint64& aOutL);
    IMPORT_C static void UMul64(Uint64 aX, Uint64 aY, Uint64& aOutH, Uint64& aOutL);
    IMPORT_C static Int64 DivMod64(Int64 aDividend, Int64 aDivisor, Int64& aRemainder);
    IMPORT_C static Uint64 UDivMod64(Uint64 aDividend, Uint64 aDivisor, Uint64& aRemainder);
private:
    IMPORT_C static void SetZero(TReal &aVal,TInt aSign=0);
    IMPORT_C static void SetNaN(TReal &aVal);
    IMPORT_C static void SetInfinite(TReal &aVal,TInt aSign);
    };
 
#include <e32math.inl>
 
#endif // __E32MATH_H__