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re3/rwsdk/include/d3d8/rtquat.h

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2019-05-18 10:39:39 +00:00
/*
* Data structures for Quaternions
* See http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hamilton.html
*
* Copyright (c) Criterion Software Limited
*/
#ifndef RTQUAT_H
#define RTQUAT_H
/**
* \defgroup rtquat RtQuat
* \ingroup rttool
*
* Quaternion Toolkit for RenderWare.
*
* See also http://www.gamasutra.com/features/19980703/quaternions_01.htm
*/
/*
* See http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hamilton.html
* On 16 October 1843 (a Monday) Hamilton was walking in along the Royal
* Canal with his wife to preside at a Council meeting of the Royal Irish
* Academy.
*
* Although his wife talked to him now and again Hamilton hardly
* heard, for the discovery of the quaternions, the first noncommutative
* algebra to be studied, was taking shape in his mind:-
*
* "And here there dawned on me the notion that we must admit, in
* some sense, a fourth dimension of space for the purpose of calculating
* with triples ... An electric circuit seemed to close, and a spark
* flashed forth."
*/
/****************************************************************************
Includes
*/
#include <math.h>
/* renderware */
#include "rwcore.h"
#include "rtquat.rpe" /* automatically generated header file */
#define RW_TOL_ORTHONORMAL ((RwReal)0.01)
/****************************************************************************
Global Types
*/
typedef struct RtQuat RtQuat;
/**
* \ingroup rtquat
* \struct RtQuat
* A structure describing a Quaternion
*
*/
struct RtQuat
{
RwV3d imag; /**< The imaginary part(s) */
RwReal real; /**< The real part */
};
/****************************************************************************
Defines
*/
#define RtQuatInitMacro( result, _x, _y, _z, _w) \
MACRO_START \
{ \
(result)->real = (_w); \
(result)->imag.x = (_x); \
(result)->imag.y = (_y); \
(result)->imag.z = (_z); \
} \
MACRO_STOP
#if (!defined(RtQuatAssignMacro))
#define RtQuatAssignMacro(_target, _source) \
( *(_target) = *(_source) )
#endif /* (!defined(RtQuatAssignMacro)) */
#define RtQuatAddMacro( result, q1, q2 ) \
MACRO_START \
{ \
(result)->real = (q1)->real + (q2)->real; \
RwV3dAddMacro(&(result)->imag, &(q1)->imag, &(q2)->imag); \
} \
MACRO_STOP
#define RtQuatIncrementRealPartMacro(result, s, q) \
MACRO_START \
{ \
(result)->real = (q)->real + s; \
(result)->imag.x = (q)->imag.x; \
(result)->imag.y = (q)->imag.y; \
(result)->imag.z = (q)->imag.z; \
} \
MACRO_STOP
#define RtQuatDecrementRealPartMacro(result, s, q) \
MACRO_START \
{ \
(result)->real = (q)->real - s; \
(result)->imag.x = (q)->imag.x; \
(result)->imag.y = (q)->imag.y; \
(result)->imag.z = (q)->imag.z; \
} \
MACRO_STOP
#define RtQuatIncrementMacro( result, dq ) \
MACRO_START \
{ \
(result)->real = (result)->real + (dq)->real; \
RwV3dAddMacro(&(result)->imag, &(result)->imag, &(dq)->imag); \
} \
MACRO_STOP
#define RtQuatSubMacro( result, q1, q2 ) \
MACRO_START \
{ \
(result)->real = (q1)->real - (q2)->real; \
RwV3dSubMacro(&(result)->imag, &(q1)->imag, &(q2)->imag); \
} \
MACRO_STOP
#define RtQuatNegateMacro( result, q ) \
MACRO_START \
{ \
(result)->real = -(q)->real; \
(result)->imag.x = -(q)->imag.x; \
(result)->imag.y = -(q)->imag.y; \
(result)->imag.z = -(q)->imag.z; \
} \
MACRO_STOP
#define RtQuatConjugateMacro( result, q) \
MACRO_START \
{ \
(result)->real = (q)->real; \
(result)->imag.x = -(q)->imag.x; \
(result)->imag.y = -(q)->imag.y; \
(result)->imag.z = -(q)->imag.z; \
} \
MACRO_STOP
#define RtQuatScaleMacro(result, q, scale ) \
MACRO_START \
{ \
(result)->real = (q)->real * scale; \
RwV3dScaleMacro(&(result)->imag, &(q)->imag, scale); \
} \
MACRO_STOP
#define RtQuatModulusSquaredMacro( q ) \
((q)->real * (q)->real + \
RwV3dDotProductMacro(&(q)->imag, &(q)->imag))
#define RtQuatModulusMacro( result, q ) \
MACRO_START \
{ \
(result) = RtQuatModulusSquaredMacro(q); \
rwSqrtMacro(&result, result); \
} \
MACRO_STOP
#define RtQuatMultiplyMacro( result, q1, q2) \
MACRO_START \
{ \
/* \
* Assumes q1 != result != q2 \
*/ \
(result)->real = \
(q1)->real * (q2)->real - \
RwV3dDotProductMacro(&(q1)->imag,&(q2)->imag); \
RwV3dCrossProductMacro(&(result)->imag, &(q1)->imag, &(q2)->imag); \
RwV3dIncrementScaledMacro(&(result)->imag, &(q2)->imag, (q1)->real); \
RwV3dIncrementScaledMacro(&(result)->imag, &(q1)->imag, (q2)->real); \
} \
MACRO_STOP
#define RtQuatReciprocalMacro( result, q) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
RwReal val = RtQuatModulusSquaredMacro(q); \
\
if (val > (RwReal) 0) \
{ \
val = ((RwReal)1) / val; \
(result)->real = (q)->real * val; \
val = -val; \
RwV3dScaleMacro(&(result)->imag, &(q)->imag, val); \
} \
} \
MACRO_STOP
#define RtQuatSquareMacro( result, q ) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
RwReal val = ((RwReal)2) * (q)->real ; \
\
(result)->real = \
(q)->real * (q)->real - \
RwV3dDotProductMacro(&(q)->imag, &(q)->imag); \
RwV3dScaleMacro(&(result)->imag, &(q)->imag, val); \
} \
MACRO_STOP
#define RtQuatSquareRootMacro( result, q ) \
MACRO_START \
{ \
/* \
* Assumes result != q \
* other root is of course -result \
*/ \
RwReal val; \
\
RtQuatModulusMacro(val,q); \
val = ((q)->real + val) * ((RwReal) 0.5); \
\
if (val > ((RwReal)0)) \
{ \
rwSqrtMacro(&val, val); \
(result)->real = val; \
val = ((RwReal)0.5) / val; \
RwV3dScale(&(result)->imag, &(q)->imag, val); \
} \
else \
{ \
result->imag.x = -(q)->real; \
rwSqrtMacro(&(result->imag.x), result->imag.x); \
result->imag.y = ((RwReal)0); \
result->imag.x = ((RwReal)0); \
result->real = ((RwReal)0); \
} \
} \
MACRO_STOP
#define RtQuatLogMacro(result, q) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
const RwReal mod2 = RtQuatModulusSquaredMacro(q); \
RwReal sin_b; \
RwReal radians; \
RwReal factor; \
\
sin_b = RwV3dDotProduct(&(q)->imag, &(q)->imag); \
rwSqrtMacro(&sin_b, sin_b); \
radians = (RwReal) RwATan2(sin_b, (q)->real); \
factor = (sin_b > (RwReal) 0) ? (((RwReal)radians) / sin_b) : 0 ; \
\
RwV3dScaleMacro(&(result)->imag, &(q)->imag, factor); \
(result)->real = ((RwReal) RwLog(mod2)) * ((RwReal) 0.5); \
\
} \
MACRO_STOP
#define RtQuatExpMacro(result, q) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
const RwReal exp_a = (RwReal)RwExp((q)->real); \
RwReal mod_b; \
RwReal factor; \
\
mod_b = RwV3dDotProduct(&(q)->imag, &(q)->imag); \
rwSqrtMacro(&mod_b, mod_b); \
factor = ( (mod_b > (RwReal) 0) ? \
(exp_a * ((RwReal)RwSin(mod_b)) / mod_b) : \
0 ) ; \
\
RwV3dScaleMacro(&(result)->imag, &(q)->imag, factor); \
(result)->real = exp_a * (RwReal)RwCos(mod_b); \
} \
MACRO_STOP
#define RtQuatPowMacro( result, q, e) \
MACRO_START \
{ \
RtQuat qLog; \
\
RtQuatLogMacro(&qLog, q); \
RtQuatScaleMacro(&qLog, &qLog, e); \
RtQuatExpMacro(result, &qLog); \
} \
MACRO_STOP
#define RtQuatUnitLogMacro(result, q) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
RwReal sin_b ; \
RwReal radians ; \
RwReal factor ; \
\
sin_b = RwV3dDotProduct(&(q)->imag, &(q)->imag); \
rwSqrtMacro(&sin_b, sin_b); \
radians = (RwReal)RwATan2(sin_b, (q)->real); \
factor = (sin_b > (RwReal) 0) ? (((RwReal)radians) / sin_b) : 0 ; \
\
RwV3dScaleMacro(&(result)->imag, &(q)->imag, factor); \
(result)->real = (RwReal)0; \
\
} \
MACRO_STOP
#define RtQuatUnitExpMacro(result, q) \
MACRO_START \
{ \
/* \
* Assumes result != q \
*/ \
RwReal mod_b; \
RwReal factor; \
\
mod_b = RwV3dDotProduct(&(q)->imag, &(q)->imag); \
rwSqrtMacro(&mod_b, mod_b); \
factor = (mod_b > (RwReal) 0) ? (((RwReal)RwSin(mod_b)) / mod_b) : 0 ; \
\
RwV3dScaleMacro(&(result)->imag, &(q)->imag, factor); \
(result)->real = (RwReal)RwCos(mod_b); \
\
} \
MACRO_STOP
#define RtQuatUnitPowMacro( result, q, e) \
MACRO_START \
{ \
RtQuat qLog; \
\
RtQuatUnitLogMacro(&qLog, q); \
RwV3dScaleMacro(&qLog.imag, &qLog.imag, e); \
RtQuatUnitExpMacro(result, &qLog); \
} \
MACRO_STOP
#define RtQuatConvertToMatrixMacro(qpQuat, mpMatrix) \
MACRO_START \
{ \
RwReal rS; \
RwV3d rV; \
RwV3d rW; \
RwV3d square; \
RwV3d cross; \
\
rS = ((RwReal) 2) / RtQuatModulusSquaredMacro((qpQuat)); \
\
RwV3dScale(&rV, &(qpQuat)->imag, rS); \
RwV3dScale(&rW, &rV, (qpQuat)->real); \
\
square.x = (qpQuat)->imag.x * rV.x; \
square.y = (qpQuat)->imag.y * rV.y; \
square.z = (qpQuat)->imag.z * rV.z; \
\
cross.x = (qpQuat)->imag.y * rV.z; \
cross.y = (qpQuat)->imag.z * rV.x; \
cross.z = (qpQuat)->imag.x * rV.y; \
\
(mpMatrix)->right.x = ((RwReal) 1) - (square.y + square.z); \
(mpMatrix)->right.y = cross.z + rW.z; \
(mpMatrix)->right.z = cross.y - rW.y; \
\
(mpMatrix)->up.x = cross.z - rW.z; \
(mpMatrix)->up.y = ((RwReal) 1) - (square.z + square.x); \
(mpMatrix)->up.z = cross.x + rW.x; \
\
(mpMatrix)->at.x = cross.y + rW.y; \
(mpMatrix)->at.y = cross.x - rW.x; \
(mpMatrix)->at.z = ((RwReal) 1) - (square.x + square.y); \
\
/* Set position */ \
(mpMatrix)->pos.x = ((RwReal) 0); \
(mpMatrix)->pos.y = ((RwReal) 0); \
(mpMatrix)->pos.z = ((RwReal) 0); \
\
/* Matrix is orthogonal */ \
rwMatrixSetFlags((mpMatrix), \
(rwMATRIXTYPEORTHOGANAL & \
~rwMATRIXINTERNALIDENTITY) ); \
\
} \
MACRO_STOP
#define RtQuatUnitConvertToMatrixMacro(qpQuat, mpMatrix) \
MACRO_START \
{ \
const RwReal x = (qpQuat)->imag.x; \
const RwReal y = (qpQuat)->imag.y; \
const RwReal z = (qpQuat)->imag.z; \
const RwReal w = (qpQuat)->real; \
RwV3d square; \
RwV3d cross; \
RwV3d wimag; \
\
square.x = x * x; \
square.y = y * y; \
square.z = z * z; \
\
cross.x = y * z; \
cross.y = z * x; \
cross.z = x * y; \
\
wimag.x = w * x; \
wimag.y = w * y; \
wimag.z = w * z; \
\
(mpMatrix)->right.x = 1 - 2 * (square.y + square.z); \
(mpMatrix)->right.y = 2 * (cross.z + wimag.z); \
(mpMatrix)->right.z = 2 * (cross.y - wimag.y); \
\
(mpMatrix)->up.x = 2 * (cross.z - wimag.z); \
(mpMatrix)->up.y = 1 - 2 * (square.x + square.z); \
(mpMatrix)->up.z = 2 * (cross.x + wimag.x); \
\
(mpMatrix)->at.x = 2 * (cross.y + wimag.y); \
(mpMatrix)->at.y = 2 * (cross.x - wimag.x); \
(mpMatrix)->at.z = (1 - 2 * (square.x + square.y)); \
\
/* Set position */ \
(mpMatrix)->pos.x = ((RwReal) 0); \
(mpMatrix)->pos.y = ((RwReal) 0); \
(mpMatrix)->pos.z = ((RwReal) 0); \
\
/* Matrix is orthonormal */ \
rwMatrixSetFlags((mpMatrix), \
(rwMATRIXTYPEORTHONORMAL & \
~rwMATRIXINTERNALIDENTITY) ); \
} \
MACRO_STOP
#if (! ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ))
#define RtQuatInit( result, _x, _y, _z, _w) \
RtQuatInitMacro( result, _x, _y, _z, _w)
#define RtQuatAssign( to, from ) \
RtQuatAssignMacro( to, from )
#define RtQuatAdd( result, q1, q2 ) \
RtQuatAddMacro( result, q1, q2 )
#define RtQuatIncrementRealPart(result, s, q) \
RtQuatIncrementRealPartMacro(result, s, q)
#define RtQuatDecrementRealPart(result, s, q) \
RtQuatDecrementRealPartMacro(result, s, q)
#define RtQuatIncrement( result, dq ) \
RtQuatIncrementMacro( result, dq )
#define RtQuatSub( result, q1, q2 ) \
RtQuatSubMacro( result, q1, q2 )
#define RtQuatNegate( result, q ) \
RtQuatNegateMacro( result, q )
#define RtQuatConjugate( result, q) \
RtQuatConjugateMacro( result, q)
#define RtQuatScale(result, q, scale ) \
RtQuatScaleMacro(result, q, scale )
#define RtQuatModulusSquared( q ) \
RtQuatModulusSquaredMacro( q )
#define RtQuatMultiply( result, q1, q2) \
RtQuatMultiplyMacro( result, q1, q2)
#define RtQuatReciprocal( result, q) \
RtQuatReciprocalMacro( result, q)
#define RtQuatSquare( result, q ) \
RtQuatSquareMacro( result, q )
#define RtQuatSquareRoot( result, q ) \
RtQuatSquareRootMacro( result, q )
#define RtQuatLog( result, q ) \
RtQuatLogMacro( result, q )
#define RtQuatExp( result, q ) \
RtQuatExpMacro( result, q )
#define RtQuatPow( result, q, e ) \
RtQuatPowMacro( result, q, e )
#define RtQuatUnitLog( result, q ) \
RtQuatUnitLogMacro( result, q )
#define RtQuatUnitExp( result, q ) \
RtQuatUnitExpMacro( result, q )
#define RtQuatUnitPow( result, q, e ) \
RtQuatUnitPowMacro( result, q, e )
#define RtQuatConvertToMatrix(qpQuat, mpMatrix) \
RtQuatConvertToMatrixMacro(qpQuat, mpMatrix)
#define RtQuatUnitConvertToMatrix(qpQuat, mpMatrix) \
RtQuatUnitConvertToMatrixMacro(qpQuat, mpMatrix)
#endif /* (! ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )) */
/****************************************************************************
Function prototypes
*/
#ifdef __cplusplus
extern "C"
{
#endif /* __cplusplus */
extern RwBool
RtQuatConvertFromMatrix(RtQuat * const qpQuat,
const RwMatrix * const mpMatrix);
extern RtQuat *
RtQuatRotate(RtQuat * quat,
const RwV3d * axis,
RwReal angle,
RwOpCombineType combineOp);
extern const RtQuat *
RtQuatQueryRotate(const RtQuat *quat,
RwV3d * unitAxis,
RwReal * angle);
extern RwV3d *
RtQuatTransformVectors(RwV3d * vectorsOut,
const RwV3d * vectorsIn,
const RwInt32 numPoints,
const RtQuat *quat);
extern RwReal
RtQuatModulus(RtQuat * q);
#if ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )
extern void
RtQuatInit(RtQuat * result, RwReal x, RwReal y, RwReal z, RwReal w);
extern void
RtQuatAssign(RtQuat * to, RtQuat * from);
extern void
RtQuatAdd(RtQuat * result, RtQuat * q1, RtQuat * q2);
extern void
RtQuatIncrementRealPart(RtQuat * result, RwReal s, RtQuat * q);
extern void
RtQuatDecrementRealPart(RtQuat * result, RwReal s, RtQuat * q);
extern void
RtQuatIncrement(RtQuat * result, RtQuat * dq);
extern void
RtQuatSub(RtQuat * result, RtQuat * q1, RtQuat * q2);
extern void
RtQuatNegate(RtQuat * result, RtQuat * q);
extern void
RtQuatConjugate(RtQuat * result, RtQuat * q);
extern void
RtQuatScale(RtQuat * result, RtQuat * q, RwReal scale);
extern RwReal
RtQuatModulusSquared(RtQuat * q);
extern void
RtQuatMultiply(RtQuat * result, RtQuat * q1, RtQuat * q2);
extern void
RtQuatReciprocal(RtQuat * result, RtQuat * q);
extern void
RtQuatSquare(RtQuat * result, RtQuat * q);
extern void
RtQuatSquareRoot(RtQuat * result, RtQuat * q);
extern void
RtQuatLog(RtQuat * result, RtQuat * q);
extern void
RtQuatExp(RtQuat * result, RtQuat * q);
extern void
RtQuatPow(RtQuat * result, RtQuat * q, RwReal e);
extern void
RtQuatUnitLog(RtQuat * result, RtQuat * q);
extern void
RtQuatUnitExp(RtQuat * result, RtQuat * q);
extern void
RtQuatUnitPow(RtQuat * result, RtQuat * q, RwReal e);
extern void
RtQuatConvertToMatrix(const RtQuat * const qpQuat,
RwMatrix * const mpMatrix);
extern void
RtQuatUnitConvertToMatrix(const RtQuat * const qpQuat,
RwMatrix * const mpMatrix);
#endif /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
#ifdef __cplusplus
}
#endif /* __cplusplus */
/*
* Backwards compatibility code
*/
typedef RtQuat RpQuat;
#define RpAnimQuatConvertFromMatrix(qpQuat, mpMatrix) \
RtQuatConvertFromMatrix(qpQuat, mpMatrix)
#define RpAnimQuatConvertToMatrix(qpQuat,mpMatrix) \
RtQuatUnitConvertToMatrix(qpQuat,mpMatrix)
#endif /* RTQUAT_H */