CWE-ou-minkata/Sources/Plasma/PubUtilLib/plTransform/hsEuler.h

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*==LICENSE==*/
#ifndef HS_EULER_inc
#define HS_EULER_inc

#include "hsGeometry3.h"

//
//////////////////////////////////////////////////////////////////////////
// EULER STUFF
// See Gems IV, Ken Shoemake
//////////////////////////////////////////////////////////////////////////
//

/*** Order type constants, constructors, extractors ***/
    /* There are 24 possible conventions, designated by:    */
    /*    o EulAxI = axis used initially            */
    /*    o EulPar = parity of axis permutation         */
    /*    o EulRep = repetition of initial axis as last     */
    /*    o EulFrm = frame from which axes are taken        */
    /* Axes I,J,K will be a permutation of X,Y,Z.       */
    /* Axis H will be either I or K, depending on EulRep.   */
    /* Frame S takes axes from initial static frame.        */
    /* If ord = (AxI=X, Par=Even, Rep=No, Frm=S), then      */
    /* {a,b,c,ord} means Rz(c)Ry(b)Rx(a), where Rz(c)v      */
    /* rotates v around Z by c radians.             */
#define EulFrmS      0
#define EulFrmR      1
#define EulFrm(ord)  ((unsigned)(ord)&1)
#define EulRepNo     0
#define EulRepYes    1
#define EulRep(ord)  (((unsigned)(ord)>>1)&1)
#define EulParEven   0
#define EulParOdd    1
#define EulPar(ord)  (((unsigned)(ord)>>2)&1)
#define EulSafe      "\000\001\002\000"
#define EulNext      "\001\002\000\001"
#define EulAxI(ord)  ((int)(EulSafe[(((unsigned)(ord)>>3)&3)]))
#define EulAxJ(ord)  ((int)(EulNext[EulAxI(ord)+(EulPar(ord)==EulParOdd)]))
#define EulAxK(ord)  ((int)(EulNext[EulAxI(ord)+(EulPar(ord)!=EulParOdd)]))
#define EulAxH(ord)  ((EulRep(ord)==EulRepNo)?EulAxK(ord):EulAxI(ord))
    /* EulGetOrd unpacks all useful information about order simultaneously. */
#define EulGetOrd(ord,i,j,k,h,n,s,f) {unsigned o=ord;f=o&1;o>>=1;s=o&1;o>>=1;\
    n=o&1;o>>=1;i=EulSafe[o&3];j=EulNext[i+n];k=EulNext[i+1-n];h=s?k:i;}
    /* EulOrd creates an order value between 0 and 23 from 4-tuple choices. */
#define EulOrd(i,p,r,f)    (((((((i)<<1)+(p))<<1)+(r))<<1)+(f))
    /* Static axes */
#define EulOrdXYZs    EulOrd(X,EulParEven,EulRepNo,EulFrmS)
#define EulOrdXYXs    EulOrd(X,EulParEven,EulRepYes,EulFrmS)
#define EulOrdXZYs    EulOrd(X,EulParOdd,EulRepNo,EulFrmS)
#define EulOrdXZXs    EulOrd(X,EulParOdd,EulRepYes,EulFrmS)
#define EulOrdYZXs    EulOrd(Y,EulParEven,EulRepNo,EulFrmS)
#define EulOrdYZYs    EulOrd(Y,EulParEven,EulRepYes,EulFrmS)
#define EulOrdYXZs    EulOrd(Y,EulParOdd,EulRepNo,EulFrmS)
#define EulOrdYXYs    EulOrd(Y,EulParOdd,EulRepYes,EulFrmS)
#define EulOrdZXYs    EulOrd(Z,EulParEven,EulRepNo,EulFrmS)
#define EulOrdZXZs    EulOrd(Z,EulParEven,EulRepYes,EulFrmS)
#define EulOrdZYXs    EulOrd(Z,EulParOdd,EulRepNo,EulFrmS)
#define EulOrdZYZs    EulOrd(Z,EulParOdd,EulRepYes,EulFrmS)
    /* Rotating axes */
#define EulOrdZYXr    EulOrd(X,EulParEven,EulRepNo,EulFrmR)
#define EulOrdXYXr    EulOrd(X,EulParEven,EulRepYes,EulFrmR)
#define EulOrdYZXr    EulOrd(X,EulParOdd,EulRepNo,EulFrmR)
#define EulOrdXZXr    EulOrd(X,EulParOdd,EulRepYes,EulFrmR)
#define EulOrdXZYr    EulOrd(Y,EulParEven,EulRepNo,EulFrmR)
#define EulOrdYZYr    EulOrd(Y,EulParEven,EulRepYes,EulFrmR)
#define EulOrdZXYr    EulOrd(Y,EulParOdd,EulRepNo,EulFrmR)
#define EulOrdYXYr    EulOrd(Y,EulParOdd,EulRepYes,EulFrmR)
#define EulOrdYXZr    EulOrd(Z,EulParEven,EulRepNo,EulFrmR)
#define EulOrdZXZr    EulOrd(Z,EulParEven,EulRepYes,EulFrmR)
#define EulOrdXYZr    EulOrd(Z,EulParOdd,EulRepNo,EulFrmR)
#define EulOrdZYZr    EulOrd(Z,EulParOdd,EulRepYes,EulFrmR)

struct hsMatrix44;
class hsQuat;
class hsEuler 
{
public:
    hsScalar fX,fY,fZ;
    UInt32 fOrder;

    hsEuler(hsScalar ai, hsScalar aj, hsScalar ah, UInt32 order) : fX(ai),fY(aj),fZ(ah),fOrder(order) {}
    
    // getters, converters
    void GetQuat(hsQuat* res );
    void GetMatrix44(hsMatrix44* M);

    // setters, converters
    void SetFromMatrix44(const hsMatrix44* M, UInt32 order);
    void SetFromQuat(const hsQuat* q, UInt32 order);
};

#endif  // HS_EULER_inc