2019-05-18 10:39:39 +00:00
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/*
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* Data structures for rtbezpat toolkit
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* Copyright (c) Criterion Software Limited
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*/
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#if (!defined(RTBEZPAT_H))
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#define RTBEZPAT_H
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/**
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* \defgroup rtbezpatch RtBezPat
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2020-07-18 10:30:51 +00:00
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* \ingroup mathtools
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2019-05-18 10:39:39 +00:00
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*
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* The Bezier Patch Toolkit is a group of functions that support the way
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* RenderWare processes patches.
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*/
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typedef struct RtBezierV4d RtBezierV4d;
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/**
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* \ingroup rtbezpatch
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* \struct RtBezierV4d
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* This type represents 4d points and vectors specified by
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* the (x, y, z, w) coordinates of a 4d point or
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* the (x, y, z, w) components of a 4d vector.
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*/
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struct RtBezierV4d
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{
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RwReal x;
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/**< X value */
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RwReal y;
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/**< Y value */
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RwReal z;
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/**< Z value */
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RwReal w;
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/**< W value */
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};
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/**
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* \ingroup rtbezpatch
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2020-07-18 10:30:51 +00:00
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* \ref RtBezierRow
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2019-05-18 10:39:39 +00:00
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* typedef for a row of vectors.
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* RtBezierRow is an array of 4 vectors
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*/
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typedef RtBezierV4d RtBezierRow[4];
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/**
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* \ingroup rtbezpatch
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2020-07-18 10:30:51 +00:00
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* \ref RtBezierMatrix
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2019-05-18 10:39:39 +00:00
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* typedef for a matrix of 4*4 vectors.
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* RtBezierMatrix is an array of 4 rows.
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*/
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typedef RtBezierRow RtBezierMatrix[4];
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/*
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* Bernstein polynomials;
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*/
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#define RtBern03(_u, _cu) ( (_cu) * (_cu) * (_cu) )
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#define RtBern13(_u, _cu) ( 3 * (_u) * (_cu) * (_cu) )
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#define RtBern23(_u, _cu) ( 3 * (_u) * (_u) * (_cu) )
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#define RtBern33(_u, _cu) ( (_u) * (_u) * (_u) )
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#define RtBezierQuadSample3dMacro(_out, _P, _u, _v) \
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MACRO_START \
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{ \
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const RtBezierV4d * const P0 = &(_P)[0][0]; \
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const RtBezierV4d * const P1 = &(_P)[1][0]; \
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const RtBezierV4d * const P2 = &(_P)[2][0]; \
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const RtBezierV4d * const P3 = &(_P)[3][0]; \
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const RwReal _pu = (_u); \
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const RwReal _cu = ((RwReal)1) - _pu; \
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const RwReal B03u = RtBern03(_pu,_cu); \
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const RwReal B13u = RtBern13(_pu,_cu); \
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const RwReal B23u = RtBern23(_pu,_cu); \
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const RwReal B33u = RtBern33(_pu,_cu); \
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const RwReal _pv = (_v); \
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const RwReal _cv = ((RwReal)1) - _pv; \
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const RwReal B03v = RtBern03(_pv,_cv); \
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const RwReal B13v = RtBern13(_pv,_cv); \
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const RwReal B23v = RtBern23(_pv,_cv); \
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const RwReal B33v = RtBern33(_pv,_cv); \
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RtBezierRow A; \
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\
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A[0].x = B03u*P0[0].x + B13u*P1[0].x + B23u*P2[0].x + B33u*P3[0].x; \
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A[0].y = B03u*P0[0].y + B13u*P1[0].y + B23u*P2[0].y + B33u*P3[0].y; \
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A[0].z = B03u*P0[0].z + B13u*P1[0].z + B23u*P2[0].z + B33u*P3[0].z; \
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A[1].x = B03u*P0[1].x + B13u*P1[1].x + B23u*P2[1].x + B33u*P3[1].x; \
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A[1].y = B03u*P0[1].y + B13u*P1[1].y + B23u*P2[1].y + B33u*P3[1].y; \
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A[1].z = B03u*P0[1].z + B13u*P1[1].z + B23u*P2[1].z + B33u*P3[1].z; \
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A[2].x = B03u*P0[2].x + B13u*P1[2].x + B23u*P2[2].x + B33u*P3[2].x; \
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A[2].y = B03u*P0[2].y + B13u*P1[2].y + B23u*P2[2].y + B33u*P3[2].y; \
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A[2].z = B03u*P0[2].z + B13u*P1[2].z + B23u*P2[2].z + B33u*P3[2].z; \
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A[3].x = B03u*P0[3].x + B13u*P1[3].x + B23u*P2[3].x + B33u*P3[3].x; \
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A[3].y = B03u*P0[3].y + B13u*P1[3].y + B23u*P2[3].y + B33u*P3[3].y; \
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A[3].z = B03u*P0[3].z + B13u*P1[3].z + B23u*P2[3].z + B33u*P3[3].z; \
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\
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(_out)->x = A[0].x*B03v + A[1].x*B13v + A[2].x*B23v + A[3].x*B33v; \
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(_out)->y = A[0].y*B03v + A[1].y*B13v + A[2].y*B23v + A[3].y*B33v; \
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(_out)->z = A[0].z*B03v + A[1].z*B13v + A[2].z*B23v + A[3].z*B33v; \
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} \
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MACRO_STOP
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#define RtBezierQuadDifferenceStepU3dMacro(_row) \
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MACRO_START \
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{ \
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(_row)[0].x += (_row)[1].x; \
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(_row)[0].y += (_row)[1].y; \
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(_row)[0].z += (_row)[1].z; \
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\
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(_row)[1].x += (_row)[2].x; \
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(_row)[1].y += (_row)[2].y; \
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(_row)[1].z += (_row)[2].z; \
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\
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(_row)[2].x += (_row)[3].x; \
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(_row)[2].y += (_row)[3].y; \
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(_row)[2].z += (_row)[3].z; \
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\
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} \
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MACRO_STOP
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#define RtBezierQuadDifferenceStepU4dMacro(_row) \
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MACRO_START \
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{ \
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(_row)[0].x += (_row)[1].x; \
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(_row)[0].y += (_row)[1].y; \
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(_row)[0].z += (_row)[1].z; \
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(_row)[0].w += (_row)[1].w; \
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\
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(_row)[1].x += (_row)[2].x; \
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(_row)[1].y += (_row)[2].y; \
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(_row)[1].z += (_row)[2].z; \
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(_row)[1].w += (_row)[2].w; \
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\
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(_row)[2].x += (_row)[3].x; \
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(_row)[2].y += (_row)[3].y; \
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(_row)[2].z += (_row)[3].z; \
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(_row)[2].w += (_row)[3].w; \
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\
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} \
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MACRO_STOP
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#define RtBezierQuadDifferenceStepV3dMacro(_mat) \
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MACRO_START \
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{ \
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RtBezierV4d * const m0 = &(_mat)[0][0]; \
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RtBezierV4d * const m1 = &(_mat)[1][0]; \
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RtBezierV4d * const m2 = &(_mat)[2][0]; \
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RtBezierV4d * const m3 = &(_mat)[3][0]; \
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\
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/* (_row) 0 */ \
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m0[0].x += m1[0].x; \
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m0[0].y += m1[0].y; \
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m0[0].z += m1[0].z; \
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\
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m0[1].x += m1[1].x; \
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m0[1].y += m1[1].y; \
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m0[1].z += m1[1].z; \
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\
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m0[2].x += m1[2].x; \
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m0[2].y += m1[2].y; \
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m0[2].z += m1[2].z; \
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\
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m0[3].x += m1[3].x; \
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m0[3].y += m1[3].y; \
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m0[3].z += m1[3].z; \
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\
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/* (_row) 1 */ \
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m1[0].x += m2[0].x; \
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m1[0].y += m2[0].y; \
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m1[0].z += m2[0].z; \
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\
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m1[1].x += m2[1].x; \
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m1[1].y += m2[1].y; \
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m1[1].z += m2[1].z; \
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\
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m1[2].x += m2[2].x; \
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m1[2].y += m2[2].y; \
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m1[2].z += m2[2].z; \
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\
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m1[3].x += m2[3].x; \
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m1[3].y += m2[3].y; \
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m1[3].z += m2[3].z; \
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\
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/* (_row) 2 */ \
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m2[0].x += m3[0].x; \
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m2[0].y += m3[0].y; \
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m2[0].z += m3[0].z; \
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\
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m2[1].x += m3[1].x; \
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m2[1].y += m3[1].y; \
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m2[1].z += m3[1].z; \
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\
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m2[2].x += m3[2].x; \
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m2[2].y += m3[2].y; \
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m2[2].z += m3[2].z; \
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\
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m2[3].x += m3[3].x; \
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m2[3].y += m3[3].y; \
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m2[3].z += m3[3].z; \
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} \
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MACRO_STOP
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#define RtBezierQuadDifferenceStepV4dMacro(_mat) \
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MACRO_START \
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{ \
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RtBezierV4d * const m0 = &(_mat)[0][0]; \
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RtBezierV4d * const m1 = &(_mat)[1][0]; \
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RtBezierV4d * const m2 = &(_mat)[2][0]; \
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RtBezierV4d * const m3 = &(_mat)[3][0]; \
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\
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/* (_row) 0 */ \
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m0[0].x += m1[0].x; \
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m0[0].y += m1[0].y; \
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m0[0].z += m1[0].z; \
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m0[0].w += m1[0].w; \
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\
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m0[1].x += m1[1].x; \
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m0[1].y += m1[1].y; \
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m0[1].z += m1[1].z; \
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m0[1].w += m1[1].w; \
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\
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m0[2].x += m1[2].x; \
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m0[2].y += m1[2].y; \
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m0[2].z += m1[2].z; \
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m0[2].w += m1[2].w; \
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\
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m0[3].x += m1[3].x; \
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m0[3].y += m1[3].y; \
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m0[3].z += m1[3].z; \
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m0[3].w += m1[3].w; \
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\
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/* (_row) 1 */ \
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m1[0].x += m2[0].x; \
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m1[0].y += m2[0].y; \
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m1[0].z += m2[0].z; \
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m1[0].w += m2[0].w; \
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\
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m1[1].x += m2[1].x; \
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m1[1].y += m2[1].y; \
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m1[1].z += m2[1].z; \
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m1[1].w += m2[1].w; \
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\
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m1[2].x += m2[2].x; \
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m1[2].y += m2[2].y; \
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m1[2].z += m2[2].z; \
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m1[2].w += m2[2].w; \
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\
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m1[3].x += m2[3].x; \
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m1[3].y += m2[3].y; \
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m1[3].z += m2[3].z; \
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m1[3].w += m2[3].w; \
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\
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/* (_row) 2 */ \
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m2[0].x += m3[0].x; \
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m2[0].y += m3[0].y; \
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m2[0].z += m3[0].z; \
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m2[0].w += m3[0].w; \
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\
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m2[1].x += m3[1].x; \
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m2[1].y += m3[1].y; \
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m2[1].z += m3[1].z; \
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m2[1].w += m3[1].w; \
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\
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m2[2].x += m3[2].x; \
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m2[2].y += m3[2].y; \
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m2[2].z += m3[2].z; \
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m2[2].w += m3[2].w; \
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\
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m2[3].x += m3[3].x; \
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m2[3].y += m3[3].y; \
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m2[3].z += m3[3].z; \
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m2[3].w += m3[3].w; \
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} \
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MACRO_STOP
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#ifdef __cplusplus
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extern "C"
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{
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#endif /* __cplusplus */
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extern void
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RtBezierQuadControlFit3d(RtBezierMatrix B,
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RtBezierMatrix P);
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extern void
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RtBezierQuadBernsteinWeight3d(RtBezierMatrix W,
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RtBezierMatrix B);
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extern void
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RtBezierQuadBernsteinWeight4d(RtBezierMatrix W,
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RtBezierMatrix B);
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extern void
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RtBezierQuadPointDifference3d(RtBezierMatrix D,
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RtBezierMatrix W,
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RwReal PointU,
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RwReal PointV,
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RwReal StepU,
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RwReal stepV);
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extern void
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RtBezierQuadPointDifference4d(RtBezierMatrix D,
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RtBezierMatrix W,
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RwReal PointU,
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RwReal PointV,
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RwReal StepU,
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RwReal stepV);
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extern void
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RtBezierQuadOriginDifference3d(RtBezierMatrix D,
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RtBezierMatrix W,
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RwReal stepU,
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RwReal setpV);
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extern void
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RtBezierQuadOriginDifference4d(RtBezierMatrix D,
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RtBezierMatrix W,
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RwReal stepU,
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RwReal setpV);
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#if ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) )
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extern void
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RtBezierQuadSample3d(RwV3d * out,
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RtBezierMatrix B,
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RwReal u,
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RwReal v);
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extern void RtBezierQuadDifferenceStepU3d(RtBezierRow row);
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extern void RtBezierQuadDifferenceStepU4d(RtBezierRow row);
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extern void RtBezierQuadDifferenceStepV3d(RtBezierMatrix mat);
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extern void RtBezierQuadDifferenceStepV4d(RtBezierMatrix mat);
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#else /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
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#define RtBezierQuadSample3d(_out, _P, _u, _v) \
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RtBezierQuadSample3dMacro(_out, _P, _u, _v)
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#define RtBezierQuadDifferenceStepU3d(_row) \
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RtBezierQuadDifferenceStepU3dMacro(_row)
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#define RtBezierQuadDifferenceStepU4d(_row) \
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RtBezierQuadDifferenceStepU4dMacro(_row)
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#define RtBezierQuadDifferenceStepV3d(_mat) \
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RtBezierQuadDifferenceStepV3dMacro(_mat)
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#define RtBezierQuadDifferenceStepV4d(_mat) \
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RtBezierQuadDifferenceStepV4dMacro(_mat)
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#endif /* ( defined(RWDEBUG) || defined(RWSUPPRESSINLINE) ) */
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/*
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*
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*/
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extern void
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RtBezierTriangleControlFit3d(RtBezierMatrix T, RtBezierMatrix P);
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extern void
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RtBezierQuadFromTriangle(RtBezierMatrix Q, RtBezierMatrix T);
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extern void
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RtBezierQuadTangent(RtBezierMatrix D,
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RwReal theta,
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RtBezierMatrix P);
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extern void
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RtBezierQuadTangentPair(RtBezierMatrix Dt,
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RtBezierMatrix Dp,
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RwReal theta,
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RtBezierMatrix P);
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extern void
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RtBezierQuadGetNormals(RtBezierMatrix N,
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RtBezierMatrix B);
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#if (defined(RWDEBUG) && defined(RWVERBOSE))
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extern void
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_rtBezierGnuPlot(RtBezierMatrix B,
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RwChar * name,
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RwChar * title);
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#else /* (defined(RWDEBUG) && defined(RWVERBOSE)) */
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#define _rtBezierGnuPlot(B, name, title) /* No-op */
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#endif /* (defined(RWDEBUG) && defined(RWVERBOSE)) */
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#ifdef __cplusplus
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}
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#endif /* __cplusplus */
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#endif /* (!defined(RTBEZPAT_H)) */
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