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+/*
+ * Data Structures for Slerps/Spherical Linear Interpolations
+ * See also GemsIII/quatspin.c in
+ * http://www.acm.org/pubs/tog/GraphicsGems/gemsiii.zip
+ * Copyright (c) Criterion Software Limited
+ */
+
+/***************************************************************************
+ * *
+ * Module : rtslerp.h *
+ * *
+ * Purpose : Slerp functionality *
+ * *
+ **************************************************************************/
+
+#ifndef RTSLERP_H
+#define RTSLERP_H
+
+/**
+ * \defgroup rtslerp RtSlerp
+ * \ingroup rttool
+ *
+ * Slerp/Spherical Linear Interpolations Toolkit for RenderWare.
+ *
+ * See also http://www.cis.ohio-state.edu/~parent/book/Full.html
+ */
+
+#include "rwcore.h"
+#include "rtquat.h"
+
+/****************************************************************************
+ Includes
+ */
+
+#include "rtslerp.rpe" /* automatically generated header file */
+
+/****************************************************************************
+ Defines
+ */
+
+/* Masks for specifying which matrices to store by reference */
+#define rtSLERPREFNONE 0x00
+#define rtSLERPREFSTARTMAT 0x01
+#define rtSLERPREFENDMAT 0x02
+#define rtSLERPREFALL (~rtSLERPREFNONE)
+
+/****************************************************************************
+ Global Types
+ */
+
+
+typedef struct RtSlerp RtSlerp;
+/**
+ * \ingroup rtslerp
+ * \struct RtSlerp
+ * structure describing a Slerps/Spherical Linear Interpolations.
+ * See also GemsIII/quatspin.c in
+ * http://www.acm.org/pubs/tog/GraphicsGems/gemsiii.zip
+ */
+struct RtSlerp
+{
+ RwInt32 matRefMask; /**< Which matrices do we NOT own */
+ RwMatrix *startMat; /**< The start matrix */
+ RwMatrix *endMat; /**< The end matrix */
+ RwV3d axis; /**< The axis of rotation for the slerp */
+ RwReal angle; /**< The angle (in degrees) between src & dest */
+
+ /* Though a slerp may be a bad idea and opting for a lerp is better */
+ RwBool useLerp; /**< Do we want to use lerps? */
+};
+
+/* static frame sequence animation - contains no state */
+
+
+typedef struct RtQuatSlerpCache RtQuatSlerpCache;
+/**
+ * \ingroup rtslerp
+ * \struct RtQuatSlerpCache
+ * structure describing a SlerpCache,
+ * which should be initialized with \ref RtQuatSetupSlerpCache.
+ */
+struct RtQuatSlerpCache
+{
+ RtQuat raFrom; /**< Scaled initial quaternion */
+ RtQuat raTo; /**< Scaled final quaternion */
+ RwReal omega; /**< Angular displacement in radians */
+ RwBool nearlyZeroOm; /**< Flags near-zero angular
+ displacement*/
+};
+
+
+typedef struct RtQuatSlerpArgandCache RtQuatSlerpArgandCache;
+/**
+ * \ingroup rtslerp
+ * \struct RtQuatSlerpArgandCache
+ * a structure describing
+ * an Argand SlerpCache which should be
+ * initialized with \ref RtQuatSetupSlerpArgandCache.
+ * See http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Argand.html
+ * Jean Argand was an accountant and amateur mathematician.
+ * He is famed for his geometrical interpretation of the complex numbers
+ * where i is interpreted as a rotation through 90.
+ */
+struct RtQuatSlerpArgandCache
+{
+ RtQuat logTo; /**< field Logarithm of final quaternion */
+ RtQuat logBase; /**< Logarithm of initial relative to final quaternion */
+};
+
+#define RtQuatSlerpMacro(qpResult, qpFrom, qpTo, rT, sCache) \
+MACRO_START \
+{ \
+ if ((rT) <= ((RwReal) 0)) \
+ { \
+ /* t is before start */ \
+ *(qpResult) = *(qpFrom); \
+ } \
+ else if (((RwReal) 1) <= (rT)) \
+ { \
+ \
+ /* t is after end */ \
+ *(qpResult) = *(qpTo); \
+ } \
+ else \
+ { \
+ /* ... so t must be in the interior then */ \
+ /* Calc coefficients rSclFrom, rSclTo */ \
+ RwReal rSclFrom = ((RwReal) 1) - (rT); \
+ RwReal rSclTo = (rT); \
+ \
+ if (!((sCache)->nearlyZeroOm)) \
+ { \
+ /* Standard case: slerp */ \
+ /* SLERPMESSAGE(("Neither nearly ZERO nor nearly PI")); */ \
+ \
+ rSclFrom *= (sCache)->omega; \
+ RwSinMinusPiToPiMacro(rSclFrom, rSclFrom); \
+ rSclTo *= (sCache)->omega; \
+ RwSinMinusPiToPiMacro(rSclTo, rSclTo); \
+ } \
+ \
+ /* Calc final values */ \
+ RwV3dScaleMacro(&(qpResult)->imag, \
+ &(sCache)->raFrom.imag, rSclFrom); \
+ RwV3dIncrementScaledMacro(&(qpResult)->imag, \
+ &(sCache)->raTo.imag, rSclTo); \
+ (qpResult)->real = \
+ ((sCache)->raFrom.real * rSclFrom) + \
+ ((sCache)->raTo.real * rSclTo); \
+ } \
+} \
+MACRO_STOP
+
+#define RtQuatSlerpArgandMacro(qpResult, qpFrom, qpTo, rT, sArgandCache) \
+MACRO_START \
+{ \
+ if ((rT) <= ((RwReal) 0)) \
+ { \
+ /* t is before start */ \
+ *(qpResult) = *(qpFrom); \
+ } \
+ else if (((RwReal) 1) <= (rT)) \
+ { \
+ /* t is after end */ \
+ *(qpResult) = *(qpTo); \
+ } \
+ else \
+ { \
+ RtQuat logBlend; \
+ \
+ /* ... so t must be in the interior then */ \
+ \
+ logBlend.imag.x = \
+ (sArgandCache)->logBase.imag.x + \
+ (rT) * (sArgandCache)->logTo.imag.x; \
+ logBlend.imag.y = \
+ (sArgandCache)->logBase.imag.y + \
+ (rT) * (sArgandCache)->logTo.imag.y; \
+ logBlend.imag.z = \
+ (sArgandCache)->logBase.imag.z + \
+ (rT) * (sArgandCache)->logTo.imag.z; \
+ logBlend.real = 0; \
+ \
+ RtQuatUnitExpMacro((qpResult), &logBlend); \
+ \
+ } \
+} \
+MACRO_STOP
+
+#if (! ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ))
+
+#define RtQuatSlerp(qpResult, qpFrom, qpTo, rT, sCache) \
+ RtQuatSlerpMacro(qpResult, qpFrom, qpTo, rT, sCache)
+
+#define RtQuatSlerpArgand(qpResult, qpFrom, qpTo, rT, sArgandCache) \
+ RtQuatSlerpArgandMacro(qpResult, qpFrom, qpTo, rT, sArgandCache)
+
+#endif /* (! ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )) */
+
+/****************************************************************************
+ Function prototypes
+ */
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif /* __cplusplus */
+
+/* Creating and destroying slerps */
+
+extern RtSlerp *RtSlerpCreate(RwInt32 nMatRefMask);
+
+extern void RtSlerpDestroy(RtSlerp * spSlerp);
+
+/* setting up a slerp */
+extern RtSlerp *RtSlerpInitialize(RtSlerp * spSlerp,
+ RwMatrix * mpMat1,
+ RwMatrix * mpMat2);
+
+/* Get a matrix */
+extern RwMatrix *RtSlerpGetMatrix(RtSlerp * spSlerp,
+ RwMatrix * mpResultMat,
+ RwReal nDelta);
+
+/* Set if lerp or slerp */
+extern RtSlerp *RtSlerpSetLerp(RtSlerp * spSlerp,
+ RwBool bUseLerp);
+
+extern void
+RtQuatSetupSlerpCache(RtQuat * qpFrom,
+ RtQuat * qpTo,
+ RtQuatSlerpCache * sCache);
+
+extern void
+RtQuatSetupSlerpArgandCache(RtQuat * qpFrom,
+ RtQuat * qpTo,
+ RtQuatSlerpArgandCache * sArgandCache);
+
+#if ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )
+
+extern void
+RtQuatSlerp(RtQuat * qpResult,
+ RtQuat * qpFrom,
+ RtQuat * qpTo,
+ RwReal rT,
+ RtQuatSlerpCache * sCache);
+
+extern void
+RtQuatSlerpArgand(RtQuat * qpResult,
+ RtQuat * qpFrom,
+ RtQuat * qpTo,
+ RwReal rT,
+ RtQuatSlerpArgandCache * sArgandCache);
+
+#endif /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
+
+#ifdef __cplusplus
+}
+#endif /* __cplusplus */
+
+#endif /* RTSLERP_H */
+