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+/*
+ * Data structures for rtbezpat toolkit
+ * Copyright (c) Criterion Software Limited
+ */
+
+#if (!defined(RTBEZPAT_H))
+#define RTBEZPAT_H
+
+/**
+ * \defgroup rtbezpatch RtBezPat
+ * \ingroup mathtools
+ *
+ * The Bezier Patch Toolkit is a group of functions that support the way
+ * RenderWare processes patches.
+ */
+
+typedef struct RtBezierV4d RtBezierV4d;
+
+/**
+ * \ingroup rtbezpatch
+ * \struct RtBezierV4d
+ * This type represents 4d points and vectors specified by
+ * the (x, y, z, w) coordinates of a 4d point or
+ * the (x, y, z, w) components of a 4d vector.
+ */
+struct RtBezierV4d
+{
+ RwReal x;
+ /**< X value */
+ RwReal y;
+ /**< Y value */
+ RwReal z;
+ /**< Z value */
+ RwReal w;
+ /**< W value */
+};
+
+/**
+ * \ingroup rtbezpatch
+ * \ref RtBezierRow
+ * typedef for a row of vectors.
+ * RtBezierRow is an array of 4 vectors
+ */
+typedef RtBezierV4d RtBezierRow[4];
+
+/**
+ * \ingroup rtbezpatch
+ * \ref RtBezierMatrix
+ * typedef for a matrix of 4*4 vectors.
+ * RtBezierMatrix is an array of 4 rows.
+ */
+typedef RtBezierRow RtBezierMatrix[4];
+
+/*
+ * Bernstein polynomials;
+ */
+
+#define RtBern03(_u, _cu) ( (_cu) * (_cu) * (_cu) )
+#define RtBern13(_u, _cu) ( 3 * (_u) * (_cu) * (_cu) )
+#define RtBern23(_u, _cu) ( 3 * (_u) * (_u) * (_cu) )
+#define RtBern33(_u, _cu) ( (_u) * (_u) * (_u) )
+
+#define RtBezierQuadSample3dMacro(_out, _P, _u, _v) \
+MACRO_START \
+{ \
+ const RtBezierV4d * const P0 = &(_P)[0][0]; \
+ const RtBezierV4d * const P1 = &(_P)[1][0]; \
+ const RtBezierV4d * const P2 = &(_P)[2][0]; \
+ const RtBezierV4d * const P3 = &(_P)[3][0]; \
+ const RwReal _pu = (_u); \
+ const RwReal _cu = ((RwReal)1) - _pu; \
+ const RwReal B03u = RtBern03(_pu,_cu); \
+ const RwReal B13u = RtBern13(_pu,_cu); \
+ const RwReal B23u = RtBern23(_pu,_cu); \
+ const RwReal B33u = RtBern33(_pu,_cu); \
+ const RwReal _pv = (_v); \
+ const RwReal _cv = ((RwReal)1) - _pv; \
+ const RwReal B03v = RtBern03(_pv,_cv); \
+ const RwReal B13v = RtBern13(_pv,_cv); \
+ const RwReal B23v = RtBern23(_pv,_cv); \
+ const RwReal B33v = RtBern33(_pv,_cv); \
+ RtBezierRow A; \
+ \
+ A[0].x = B03u*P0[0].x + B13u*P1[0].x + B23u*P2[0].x + B33u*P3[0].x; \
+ A[0].y = B03u*P0[0].y + B13u*P1[0].y + B23u*P2[0].y + B33u*P3[0].y; \
+ A[0].z = B03u*P0[0].z + B13u*P1[0].z + B23u*P2[0].z + B33u*P3[0].z; \
+ A[1].x = B03u*P0[1].x + B13u*P1[1].x + B23u*P2[1].x + B33u*P3[1].x; \
+ A[1].y = B03u*P0[1].y + B13u*P1[1].y + B23u*P2[1].y + B33u*P3[1].y; \
+ A[1].z = B03u*P0[1].z + B13u*P1[1].z + B23u*P2[1].z + B33u*P3[1].z; \
+ A[2].x = B03u*P0[2].x + B13u*P1[2].x + B23u*P2[2].x + B33u*P3[2].x; \
+ A[2].y = B03u*P0[2].y + B13u*P1[2].y + B23u*P2[2].y + B33u*P3[2].y; \
+ A[2].z = B03u*P0[2].z + B13u*P1[2].z + B23u*P2[2].z + B33u*P3[2].z; \
+ A[3].x = B03u*P0[3].x + B13u*P1[3].x + B23u*P2[3].x + B33u*P3[3].x; \
+ A[3].y = B03u*P0[3].y + B13u*P1[3].y + B23u*P2[3].y + B33u*P3[3].y; \
+ A[3].z = B03u*P0[3].z + B13u*P1[3].z + B23u*P2[3].z + B33u*P3[3].z; \
+ \
+ (_out)->x = A[0].x*B03v + A[1].x*B13v + A[2].x*B23v + A[3].x*B33v; \
+ (_out)->y = A[0].y*B03v + A[1].y*B13v + A[2].y*B23v + A[3].y*B33v; \
+ (_out)->z = A[0].z*B03v + A[1].z*B13v + A[2].z*B23v + A[3].z*B33v; \
+} \
+MACRO_STOP
+
+#define RtBezierQuadDifferenceStepU3dMacro(_row) \
+MACRO_START \
+{ \
+ (_row)[0].x += (_row)[1].x; \
+ (_row)[0].y += (_row)[1].y; \
+ (_row)[0].z += (_row)[1].z; \
+ \
+ (_row)[1].x += (_row)[2].x; \
+ (_row)[1].y += (_row)[2].y; \
+ (_row)[1].z += (_row)[2].z; \
+ \
+ (_row)[2].x += (_row)[3].x; \
+ (_row)[2].y += (_row)[3].y; \
+ (_row)[2].z += (_row)[3].z; \
+ \
+} \
+MACRO_STOP
+
+#define RtBezierQuadDifferenceStepU4dMacro(_row) \
+MACRO_START \
+{ \
+ (_row)[0].x += (_row)[1].x; \
+ (_row)[0].y += (_row)[1].y; \
+ (_row)[0].z += (_row)[1].z; \
+ (_row)[0].w += (_row)[1].w; \
+ \
+ (_row)[1].x += (_row)[2].x; \
+ (_row)[1].y += (_row)[2].y; \
+ (_row)[1].z += (_row)[2].z; \
+ (_row)[1].w += (_row)[2].w; \
+ \
+ (_row)[2].x += (_row)[3].x; \
+ (_row)[2].y += (_row)[3].y; \
+ (_row)[2].z += (_row)[3].z; \
+ (_row)[2].w += (_row)[3].w; \
+ \
+} \
+MACRO_STOP
+
+#define RtBezierQuadDifferenceStepV3dMacro(_mat) \
+MACRO_START \
+{ \
+ RtBezierV4d * const m0 = &(_mat)[0][0]; \
+ RtBezierV4d * const m1 = &(_mat)[1][0]; \
+ RtBezierV4d * const m2 = &(_mat)[2][0]; \
+ RtBezierV4d * const m3 = &(_mat)[3][0]; \
+ \
+ /* (_row) 0 */ \
+ m0[0].x += m1[0].x; \
+ m0[0].y += m1[0].y; \
+ m0[0].z += m1[0].z; \
+ \
+ m0[1].x += m1[1].x; \
+ m0[1].y += m1[1].y; \
+ m0[1].z += m1[1].z; \
+ \
+ m0[2].x += m1[2].x; \
+ m0[2].y += m1[2].y; \
+ m0[2].z += m1[2].z; \
+ \
+ m0[3].x += m1[3].x; \
+ m0[3].y += m1[3].y; \
+ m0[3].z += m1[3].z; \
+ \
+ /* (_row) 1 */ \
+ m1[0].x += m2[0].x; \
+ m1[0].y += m2[0].y; \
+ m1[0].z += m2[0].z; \
+ \
+ m1[1].x += m2[1].x; \
+ m1[1].y += m2[1].y; \
+ m1[1].z += m2[1].z; \
+ \
+ m1[2].x += m2[2].x; \
+ m1[2].y += m2[2].y; \
+ m1[2].z += m2[2].z; \
+ \
+ m1[3].x += m2[3].x; \
+ m1[3].y += m2[3].y; \
+ m1[3].z += m2[3].z; \
+ \
+ /* (_row) 2 */ \
+ m2[0].x += m3[0].x; \
+ m2[0].y += m3[0].y; \
+ m2[0].z += m3[0].z; \
+ \
+ m2[1].x += m3[1].x; \
+ m2[1].y += m3[1].y; \
+ m2[1].z += m3[1].z; \
+ \
+ m2[2].x += m3[2].x; \
+ m2[2].y += m3[2].y; \
+ m2[2].z += m3[2].z; \
+ \
+ m2[3].x += m3[3].x; \
+ m2[3].y += m3[3].y; \
+ m2[3].z += m3[3].z; \
+} \
+MACRO_STOP
+
+#define RtBezierQuadDifferenceStepV4dMacro(_mat) \
+MACRO_START \
+{ \
+ RtBezierV4d * const m0 = &(_mat)[0][0]; \
+ RtBezierV4d * const m1 = &(_mat)[1][0]; \
+ RtBezierV4d * const m2 = &(_mat)[2][0]; \
+ RtBezierV4d * const m3 = &(_mat)[3][0]; \
+ \
+ /* (_row) 0 */ \
+ m0[0].x += m1[0].x; \
+ m0[0].y += m1[0].y; \
+ m0[0].z += m1[0].z; \
+ m0[0].w += m1[0].w; \
+ \
+ m0[1].x += m1[1].x; \
+ m0[1].y += m1[1].y; \
+ m0[1].z += m1[1].z; \
+ m0[1].w += m1[1].w; \
+ \
+ m0[2].x += m1[2].x; \
+ m0[2].y += m1[2].y; \
+ m0[2].z += m1[2].z; \
+ m0[2].w += m1[2].w; \
+ \
+ m0[3].x += m1[3].x; \
+ m0[3].y += m1[3].y; \
+ m0[3].z += m1[3].z; \
+ m0[3].w += m1[3].w; \
+ \
+ /* (_row) 1 */ \
+ m1[0].x += m2[0].x; \
+ m1[0].y += m2[0].y; \
+ m1[0].z += m2[0].z; \
+ m1[0].w += m2[0].w; \
+ \
+ m1[1].x += m2[1].x; \
+ m1[1].y += m2[1].y; \
+ m1[1].z += m2[1].z; \
+ m1[1].w += m2[1].w; \
+ \
+ m1[2].x += m2[2].x; \
+ m1[2].y += m2[2].y; \
+ m1[2].z += m2[2].z; \
+ m1[2].w += m2[2].w; \
+ \
+ m1[3].x += m2[3].x; \
+ m1[3].y += m2[3].y; \
+ m1[3].z += m2[3].z; \
+ m1[3].w += m2[3].w; \
+ \
+ /* (_row) 2 */ \
+ m2[0].x += m3[0].x; \
+ m2[0].y += m3[0].y; \
+ m2[0].z += m3[0].z; \
+ m2[0].w += m3[0].w; \
+ \
+ m2[1].x += m3[1].x; \
+ m2[1].y += m3[1].y; \
+ m2[1].z += m3[1].z; \
+ m2[1].w += m3[1].w; \
+ \
+ m2[2].x += m3[2].x; \
+ m2[2].y += m3[2].y; \
+ m2[2].z += m3[2].z; \
+ m2[2].w += m3[2].w; \
+ \
+ m2[3].x += m3[3].x; \
+ m2[3].y += m3[3].y; \
+ m2[3].z += m3[3].z; \
+ m2[3].w += m3[3].w; \
+} \
+MACRO_STOP
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif /* __cplusplus */
+extern void
+RtBezierQuadControlFit3d(RtBezierMatrix B,
+ RtBezierMatrix P);
+
+extern void
+RtBezierQuadBernsteinWeight3d(RtBezierMatrix W,
+ RtBezierMatrix B);
+
+extern void
+RtBezierQuadBernsteinWeight4d(RtBezierMatrix W,
+ RtBezierMatrix B);
+
+extern void
+RtBezierQuadPointDifference3d(RtBezierMatrix D,
+ RtBezierMatrix W,
+ RwReal PointU,
+ RwReal PointV,
+ RwReal StepU,
+ RwReal stepV);
+
+extern void
+RtBezierQuadPointDifference4d(RtBezierMatrix D,
+ RtBezierMatrix W,
+ RwReal PointU,
+ RwReal PointV,
+ RwReal StepU,
+ RwReal stepV);
+
+extern void
+RtBezierQuadOriginDifference3d(RtBezierMatrix D,
+ RtBezierMatrix W,
+ RwReal stepU,
+ RwReal setpV);
+
+extern void
+RtBezierQuadOriginDifference4d(RtBezierMatrix D,
+ RtBezierMatrix W,
+ RwReal stepU,
+ RwReal setpV);
+
+#if ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )
+
+extern void
+RtBezierQuadSample3d(RwV3d * out,
+ RtBezierMatrix B,
+ RwReal u,
+ RwReal v);
+
+extern void RtBezierQuadDifferenceStepU3d(RtBezierRow row);
+extern void RtBezierQuadDifferenceStepU4d(RtBezierRow row);
+
+extern void RtBezierQuadDifferenceStepV3d(RtBezierMatrix mat);
+extern void RtBezierQuadDifferenceStepV4d(RtBezierMatrix mat);
+
+
+#else /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
+
+#define RtBezierQuadSample3d(_out, _P, _u, _v) \
+ RtBezierQuadSample3dMacro(_out, _P, _u, _v)
+
+#define RtBezierQuadDifferenceStepU3d(_row) \
+ RtBezierQuadDifferenceStepU3dMacro(_row)
+
+#define RtBezierQuadDifferenceStepU4d(_row) \
+ RtBezierQuadDifferenceStepU4dMacro(_row)
+
+#define RtBezierQuadDifferenceStepV3d(_mat) \
+ RtBezierQuadDifferenceStepV3dMacro(_mat)
+
+#define RtBezierQuadDifferenceStepV4d(_mat) \
+ RtBezierQuadDifferenceStepV4dMacro(_mat)
+
+#endif /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
+
+/*
+ *
+ */
+
+extern void
+RtBezierTriangleControlFit3d(RtBezierMatrix T, RtBezierMatrix P);
+
+extern void
+RtBezierQuadFromTriangle(RtBezierMatrix Q, RtBezierMatrix T);
+
+extern void
+RtBezierQuadTangent(RtBezierMatrix D,
+ RwReal theta,
+ RtBezierMatrix P);
+
+extern void
+RtBezierQuadTangentPair(RtBezierMatrix Dt,
+ RtBezierMatrix Dp,
+ RwReal theta,
+ RtBezierMatrix P);
+
+extern void
+RtBezierQuadGetNormals(RtBezierMatrix N,
+ RtBezierMatrix B);
+
+#if (defined(RWDEBUG) && defined(RWVERBOSE))
+
+extern void
+_rtBezierGnuPlot(RtBezierMatrix B,
+ RwChar * name,
+ RwChar * title);
+
+#else /* (defined(RWDEBUG) && defined(RWVERBOSE)) */
+
+#define _rtBezierGnuPlot(B, name, title) /* No-op */
+
+#endif /* (defined(RWDEBUG) && defined(RWVERBOSE)) */
+
+#ifdef __cplusplus
+}
+#endif /* __cplusplus */
+
+#endif /* (!defined(RTBEZPAT_H)) */
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