533 lines
21 KiB
C++
533 lines
21 KiB
C++
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/*============================================================================
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*
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* Copyright (C) 1999-2000 Microsoft Corporation. All Rights Reserved.
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*
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* File: catrom.cpp
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* Content: Implementation for Catmull-Rom splines
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*
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****************************************************************************/
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#include "pch.cpp"
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#pragma hdrstop
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//-----------------------------------------------------------------------------
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// RefDev::ProcessCatRomSpline
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//-----------------------------------------------------------------------------
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HRESULT RefDev::ProcessCatRomSpline( DWORD dwOffW, DWORD dwOffH,
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DWORD dwWidth, DWORD dwHeight,
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DWORD dwStride,
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FLOAT *pPrimSegments )
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{
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int u_range = dwWidth - 3;
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int v_range = dwHeight - 3;
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if(u_range <= 0 || v_range <= 0)
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{
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DPFERR("A Catmull-Rom spline needs at least 16 control points");
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return DDERR_INVALIDPARAMS;
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}
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RDCatRomSpline catrom;
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unsigned M[4], N[4];
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unsigned u_segs, v_segs, u_start, v_start;
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if(pPrimSegments != 0)
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{
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u_segs = unsigned(double(unsigned(pPrimSegments[0]) + unsigned(pPrimSegments[2])) / 2.0 + 0.5);
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v_segs = unsigned(double(unsigned(pPrimSegments[1]) + unsigned(pPrimSegments[3])) / 2.0 + 0.5);
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if(u_segs == 0)
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{
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u_segs = 1;
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}
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if(v_segs == 0)
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{
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v_segs = 1;
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}
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if(unsigned(pPrimSegments[0]) != unsigned(pPrimSegments[2]) || unsigned(pPrimSegments[1]) != unsigned(pPrimSegments[3]))
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{
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// First, gulp, the irregular outside
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// To make life easier, we don't want to deal with the case when u_segs or v_segs is one
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// This ensures that there is at least one inside point
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if(u_segs == 1)
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{
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u_segs = 2;
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}
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if(v_segs == 1)
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{
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v_segs = 2;
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}
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// Start with top edge
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unsigned segs = unsigned(pPrimSegments[0]);
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unsigned k_outer = 0;
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unsigned k_inner = 1;
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unsigned outer_inc = u_segs - 2;
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unsigned inner_inc = segs;
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unsigned outer = 0;
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unsigned inner = 0;
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double u0, v0, u1, v1, u2, v2, tu0, tv0, tu1, tv1, tu2, tv2;
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while(outer_inc != 0 ? (inner != inner_inc * outer_inc || outer != inner_inc * outer_inc) : (k_outer < segs))
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{
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if(inner < outer)
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{
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_ASSERT(k_inner < u_segs - 1, "Error in logic");
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u0 = double(u_range * k_inner) / double(u_segs) + 3.0;
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v0 = double(v_range) / double(v_segs) + 3.0;
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u1 = double(u_range * k_outer) / double(segs) + 3.0;
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v1 = 0.0;
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u2 = double(u_range * (k_inner + 1)) / double(u_segs) + 3.0;
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v2 = v0;
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tu0 = double(k_inner) / double(u_segs);
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tv0 = 1.0 / double(v_segs);
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tu1 = double(k_outer) / double(segs);
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tv1 = 0.0;
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tu2 = double(k_inner + 1) / double(u_segs);
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tv2 = tv0;
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M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u0 -= floor(u0);
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if((u_range * k_outer) % segs == 0)
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{
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M[1] = unsigned(u1) - 4;
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u1 = 1.0;
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}
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else
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{
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M[1] = unsigned(u1) - 3; // unsigned(u1) == floor(u1)
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u1 -= floor(u1);
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}
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M[2] = unsigned(u2) - 3; // unsigned(u2) == floor(u2)
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u2 -= floor(u2);
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N[2] = N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v2 = v0 = v0 - floor(v0);
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N[1] = 0;
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++k_inner;
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inner += inner_inc;
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}
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else
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{
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_ASSERT(k_outer < segs, "Error in logic");
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u0 = double(u_range * k_inner) / double(u_segs) + 3.0;
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v0 = double(v_range) / double(v_segs) + 3.0;
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u1 = double(u_range * k_outer) / double(segs) + 3.0;
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v1 = 0.0;
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u2 = double(u_range * (k_outer + 1)) / double(segs) + 3.0;
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v2 = v1;
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tu0 = double(k_inner) / double(u_segs);
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tv0 = 1.0 / double(v_segs);
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tu1 = double(k_outer) / double(segs);
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tv1 = 0.0;
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tu2 = double(k_outer + 1) / double(segs);
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tv2 = tv1;
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if((u_range * k_inner) % u_segs == 0)
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{
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M[0] = unsigned(u0) - 4;
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u0 = 1.0;
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}
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else
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{
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M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u0 -= floor(u0);
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}
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M[1] = unsigned(u1) - 3; // unsigned(u1) == floor(u1)
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u1 -= floor(u1);
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if((u_range * (k_outer + 1)) % segs == 0)
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{
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M[2] = unsigned(u2) - 4;
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u2 = 1.0;
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}
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else
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{
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M[2] = unsigned(u2) - 3; // unsigned(u2) == floor(u2)
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u2 -= floor(u2);
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}
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N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v0 -= floor(v0);
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N[2] = N[1] = 0;
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++k_outer;
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outer += outer_inc;
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}
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HRESULT hr = DrawTessTri(catrom, dwOffW, dwOffH, dwStride, M, N, u0, v0, u1, v1, u2, v2, tu0, tv0, tu1, tv1, tu2, tv2, false, false, false);
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if(FAILED(hr))
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{
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return hr;
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}
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}
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// bottom edge
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segs = unsigned(pPrimSegments[2]);
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k_outer = segs;
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k_inner = u_segs - 1;
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inner_inc = segs;
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outer = 0;
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inner = 0;
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while(outer_inc != 0 ? (inner != inner_inc * outer_inc || outer != inner_inc * outer_inc) : (k_outer > 0))
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{
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if(inner < outer)
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{
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_ASSERT(k_inner > 1, "Error in logic");
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u0 = double(u_range * k_inner) / double(u_segs) + 3.0;
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v0 = double(v_range * (v_segs - 1)) / double(v_segs) + 3.0;
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u1 = double(u_range * k_outer) / double(segs) + 3.0;
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v1 = double(v_range + 3);
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u2 = double(u_range * (k_inner - 1)) / double(u_segs) + 3.0;
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v2 = v0;
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tu0 = double(k_inner) / double(u_segs);
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tv0 = double(v_segs - 1) / double(v_segs);
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tu1 = double(k_outer) / double(segs);
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tv1 = 1.0;
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tu2 = double(k_inner - 1) / double(u_segs);
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tv2 = tv0;
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M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u0 -= floor(u0);
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if((u_range * k_outer) % segs == 0)
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{
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M[1] = unsigned(u1) - 4;
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u1 = 1.0;
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}
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else
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{
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M[1] = unsigned(u1) - 3; // unsigned(u1) == floor(u1)
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u1 -= floor(u1);
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}
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M[2] = unsigned(u2) - 3; // unsigned(u2) == floor(u2)
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u2 -= floor(u2);
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N[2] = N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v2 = v0 = v0 - floor(v0);
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N[1] = dwHeight - 4;
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v1 = 1.0;
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--k_inner;
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inner += inner_inc;
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}
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else
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{
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_ASSERT(k_outer > 0, "Error in logic");
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u0 = double(u_range * k_inner) / double(u_segs) + 3.0;
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v0 = double(v_range * (v_segs - 1)) / double(v_segs) + 3.0;
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u1 = double(u_range * k_outer) / double(segs) + 3.0;
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v1 = double(v_range + 3);
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u2 = double(u_range * (k_outer - 1)) / double(segs) + 3.0;
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v2 = v1;
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tu0 = double(k_inner) / double(u_segs);
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tv0 = double(v_segs - 1) / double(v_segs);
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tu1 = double(k_outer) / double(segs);
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tv1 = 1.0;
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tu2 = double(k_outer - 1) / double(segs);
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tv2 = tv1;
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M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u0 -= floor(u0);
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if((u_range * k_outer) % segs == 0)
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{
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M[1] = unsigned(u1) - 4;
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u1 = 1.0;
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}
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else
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{
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M[1] = unsigned(u1) - 3; // unsigned(u1) == floor(u1)
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u1 -= floor(u1);
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}
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M[2] = unsigned(u2) - 3; // unsigned(u2) == floor(u2)
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u2 -= floor(u2);
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N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v0 -= floor(v0);
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N[2] = N[1] = dwHeight - 4;
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v2 = v1 = 1.0;
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--k_outer;
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outer += outer_inc;
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}
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HRESULT hr = DrawTessTri(catrom, dwOffW, dwOffH, dwStride, M, N, u0, v0, u1, v1, u2, v2, tu0, tv0, tu1, tv1, tu2, tv2, false, false, false);
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if(FAILED(hr))
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{
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return hr;
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}
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}
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// right edge
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segs = unsigned(pPrimSegments[1]);
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k_outer = 0;
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k_inner = 1;
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outer_inc = v_segs - 2;
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inner_inc = segs;
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outer = 0;
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inner = 0;
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while(outer_inc != 0 ? (inner != inner_inc * outer_inc || outer != inner_inc * outer_inc) : (k_outer < segs))
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{
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if(inner < outer)
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{
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_ASSERT(k_inner < v_segs - 1, "Error in logic");
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u0 = double(u_range * (u_segs - 1)) / double(u_segs) + 3.0;
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v0 = double(v_range * k_inner) / double(v_segs) + 3.0;
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u1 = double(u_range + 3);
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v1 = double(v_range * k_outer) / double(segs) + 3.0;
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u2 = u0;
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v2 = double(v_range * (k_inner + 1)) / double(v_segs) + 3.0;
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tu0 = double(u_segs - 1) / double(u_segs);
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tv0 = double(k_inner) / double(v_segs);
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tu1 = 1.0;
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tv1 = double(k_outer) / double(segs);
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tu2 = tu0;
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tv2 = double(k_inner + 1) / double(v_segs);
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M[2] = M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u2 = u0 = u0 - floor(u0);
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M[1] = dwWidth - 4;
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u1 = 1.0;
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N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v0 -= floor(v0);
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if((v_range * k_outer) % segs == 0)
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{
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N[1] = unsigned(v1) - 4;
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v1 = 1.0;
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}
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else
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{
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N[1] = unsigned(v1) - 3; // unsigned(v1) == floor(v1)
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v1 -= floor(v1);
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}
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N[2] = unsigned(v2) - 3; // unsigned(v2) == floor(v2)
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v2 -= floor(v2);
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++k_inner;
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inner += inner_inc;
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}
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else
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{
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_ASSERT(k_outer < segs, "Error in logic");
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u0 = double(u_range * (u_segs - 1)) / double(u_segs) + 3.0;
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v0 = double(v_range * k_inner) / double(v_segs) + 3.0;
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u1 = double(u_range + 3);
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v1 = double(v_range * k_outer) / double(segs) + 3.0;
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u2 = u1;
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v2 = double(v_range * (k_outer + 1)) / double(segs) + 3.0;
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tu0 = double(u_segs - 1) / double(u_segs);
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tv0 = double(k_inner) / double(v_segs);
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tu1 = 1.0;
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tv1 = double(k_outer) / double(segs);
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tu2 = tu1;
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tv2 = double(k_outer + 1) / double(segs);
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M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
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u0 -= floor(u0);
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M[2] = M[1] = dwWidth - 4;
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u2 = u1 = 1.0;
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if((v_range * k_inner) % v_segs == 0)
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{
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N[0] = unsigned(v0) - 4;
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v0 = 1.0;
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}
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else
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{
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N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
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v0 -= floor(v0);
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}
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N[1] = unsigned(v1) - 3; // unsigned(v1) == floor(v1)
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v1 -= floor(v1);
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if((v_range * (k_outer + 1)) % segs == 0)
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{
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N[2] = unsigned(v2) - 4;
|
||
|
|
v2 = 1.0;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
N[2] = unsigned(v2) - 3; // unsigned(v2) == floor(v2)
|
||
|
|
v2 -= floor(v2);
|
||
|
|
}
|
||
|
|
|
||
|
|
++k_outer;
|
||
|
|
outer += outer_inc;
|
||
|
|
}
|
||
|
|
HRESULT hr = DrawTessTri(catrom, dwOffW, dwOffH, dwStride, M, N, u0, v0, u1, v1, u2, v2, tu0, tv0, tu1, tv1, tu2, tv2, false, false, false);
|
||
|
|
if(FAILED(hr))
|
||
|
|
{
|
||
|
|
return hr;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
// left edge
|
||
|
|
segs = unsigned(pPrimSegments[3]);
|
||
|
|
k_outer = segs;
|
||
|
|
k_inner = v_segs - 1;
|
||
|
|
inner_inc = segs;
|
||
|
|
outer = 0;
|
||
|
|
inner = 0;
|
||
|
|
while(outer_inc != 0 ? (inner != inner_inc * outer_inc || outer != inner_inc * outer_inc) : (k_outer > 0))
|
||
|
|
{
|
||
|
|
if(inner < outer)
|
||
|
|
{
|
||
|
|
_ASSERT(k_inner > 1, "Error in logic");
|
||
|
|
u0 = double(u_range) / double(u_segs) + 3.0;
|
||
|
|
v0 = double(v_range * k_inner) / double(v_segs) + 3.0;
|
||
|
|
u1 = 0.0;
|
||
|
|
v1 = double(v_range * k_outer) / double(segs) + 3.0;
|
||
|
|
u2 = u0;
|
||
|
|
v2 = double(v_range * (k_inner - 1)) / double(v_segs) + 3.0;
|
||
|
|
tu0 = 1.0 / double(u_segs);
|
||
|
|
tv0 = double(k_inner) / double(v_segs);
|
||
|
|
tu1 = 0.0;
|
||
|
|
tv1 = double(k_outer) / double(segs);
|
||
|
|
tu2 = tu0;
|
||
|
|
tv2 = double(k_inner - 1) / double(v_segs);
|
||
|
|
|
||
|
|
M[2] = M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
|
||
|
|
u2 = u0 = u0 - floor(u0);
|
||
|
|
M[1] = 0;
|
||
|
|
N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
|
||
|
|
v0 -= floor(v0);
|
||
|
|
if((v_range * k_outer) % segs == 0)
|
||
|
|
{
|
||
|
|
N[1] = unsigned(v1) - 4;
|
||
|
|
v1 = 1.0;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
N[1] = unsigned(v1) - 3; // unsigned(v1) == floor(v1)
|
||
|
|
v1 -= floor(v1);
|
||
|
|
}
|
||
|
|
N[2] = unsigned(v2) - 3; // unsigned(v2) == floor(v2)
|
||
|
|
v2 -= floor(v2);
|
||
|
|
|
||
|
|
--k_inner;
|
||
|
|
inner += inner_inc;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
_ASSERT(k_outer > 0, "Error in logic");
|
||
|
|
u0 = double(u_range) / double(u_segs) + 3.0;
|
||
|
|
v0 = double(v_range * k_inner) / double(v_segs) + 3.0;
|
||
|
|
u1 = 0.0;
|
||
|
|
v1 = double(v_range * k_outer) / double(segs) + 3.0;
|
||
|
|
u2 = u1;
|
||
|
|
v2 = double(v_range * (k_outer - 1)) / double(segs) + 3.0;
|
||
|
|
tu0 = 1.0 / double(u_segs);
|
||
|
|
tv0 = double(k_inner) / double(v_segs);
|
||
|
|
tu1 = 0.0;
|
||
|
|
tv1 = double(k_outer) / double(segs);
|
||
|
|
tu2 = tu1;
|
||
|
|
tv2 = double(k_outer - 1) / double(segs);
|
||
|
|
|
||
|
|
M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
|
||
|
|
u0 -= floor(u0);
|
||
|
|
M[2] = M[1] = 0;
|
||
|
|
N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
|
||
|
|
v0 -= floor(v0);
|
||
|
|
if((v_range * k_outer) % segs == 0)
|
||
|
|
{
|
||
|
|
N[1] = unsigned(v1) - 4;
|
||
|
|
v1 = 1.0;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
N[1] = unsigned(v1) - 3; // unsigned(v1) == floor(v1)
|
||
|
|
v1 -= floor(v1);
|
||
|
|
}
|
||
|
|
N[2] = unsigned(v2) - 3; // unsigned(v2) == floor(v2)
|
||
|
|
v2 -= floor(v2);
|
||
|
|
|
||
|
|
--k_outer;
|
||
|
|
outer += outer_inc;
|
||
|
|
}
|
||
|
|
HRESULT hr = DrawTessTri(catrom, dwOffW, dwOffH, dwStride, M, N, u0, v0, u1, v1, u2, v2, tu0, tv0, tu1, tv1, tu2, tv2, false, false, false);
|
||
|
|
if(FAILED(hr))
|
||
|
|
{
|
||
|
|
return hr;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
// Now do the regular interior
|
||
|
|
u_start = 1;
|
||
|
|
v_start = 1;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// It can be done regularly
|
||
|
|
u_start = 0;
|
||
|
|
v_start = 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
unsigned segs = unsigned(GetRSf()[D3DRS_PATCHSEGMENTS]);
|
||
|
|
if(segs == 0)
|
||
|
|
{
|
||
|
|
segs = 1;
|
||
|
|
}
|
||
|
|
u_start = 0;
|
||
|
|
v_start = 0;
|
||
|
|
u_segs = segs;
|
||
|
|
v_segs = segs;
|
||
|
|
}
|
||
|
|
|
||
|
|
for(unsigned i = v_start; i < v_segs - v_start; ++i)
|
||
|
|
{
|
||
|
|
double v0 = double(v_range * i) / double(v_segs) + 3.0;
|
||
|
|
double v1 = double(v_range * (i + 1)) / double(v_segs) + 3.0;
|
||
|
|
N[1] = N[0] = unsigned(v0) - 3; // unsigned(v0) == floor(v0)
|
||
|
|
if((v_range * (i + 1)) % v_segs == 0)
|
||
|
|
{
|
||
|
|
N[3] = N[2] = unsigned(v1) - 4;
|
||
|
|
v1 = 1.0;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
N[3] = N[2] = unsigned(v1) - 3; // unsigned(v1) == floor(v1)
|
||
|
|
v1 -= floor(v1);
|
||
|
|
}
|
||
|
|
for(unsigned j = u_start; j < u_segs - u_start; ++j)
|
||
|
|
{
|
||
|
|
double u0 = (u_range * double(j)) / double(u_segs) + 3.0;
|
||
|
|
double u1 = (u_range * double(j + 1)) / double(u_segs) + 3.0;
|
||
|
|
M[3] = M[0] = unsigned(u0) - 3; // unsigned(u0) == floor(u0)
|
||
|
|
if((u_range * (j + 1)) % u_segs == 0)
|
||
|
|
{
|
||
|
|
M[2] = M[1] = unsigned(u1) - 4;
|
||
|
|
u1 = 1.0;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
M[2] = M[1] = unsigned(u1) - 3; // unsigned(u1) == floor(u1)
|
||
|
|
u1 -= floor(u1);
|
||
|
|
}
|
||
|
|
HRESULT hr = DrawTessQuad(catrom, dwOffW, dwOffH, dwStride, M, N,
|
||
|
|
u0 - floor(u0), v0 - floor(v0), u1, v1,
|
||
|
|
double(j) / double(u_segs), double(i) / double(v_segs),
|
||
|
|
double(j + 1) / double(u_segs), double(i + 1) / double(v_segs),
|
||
|
|
false);
|
||
|
|
if(FAILED(hr))
|
||
|
|
{
|
||
|
|
return hr;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
return S_OK;
|
||
|
|
}
|
||
|
|
|
||
|
|
//-----------------------------------------------------------------------------
|
||
|
|
// RDCatRomSpline::Basis
|
||
|
|
//-----------------------------------------------------------------------------
|
||
|
|
double RDCatRomSpline::Basis(unsigned i, unsigned k, double t) const
|
||
|
|
{
|
||
|
|
static const double lut[4][4] = {{-1.0/2.0, 3.0/2.0, -3.0/2.0, 1.0/2.0},
|
||
|
|
{1.0, -5.0/2.0, 2.0, -1.0/2.0},
|
||
|
|
{-1.0/2.0, 0.0, 1.0/2.0, 0.0},
|
||
|
|
{0.0, 1.0, 0.0, 0.0}};
|
||
|
|
_ASSERT(i < 4, "Catmull-Rom spline can be only cubic");
|
||
|
|
return t * t * t * lut[0][i] + t * t * lut[1][i] + t * lut[2][i] + lut[3][i];
|
||
|
|
}
|
||
|
|
|
||
|
|
//-----------------------------------------------------------------------------
|
||
|
|
// RDCatRomSpline::BasisPrime
|
||
|
|
//-----------------------------------------------------------------------------
|
||
|
|
double RDCatRomSpline::BasisPrime(unsigned i, unsigned k, double t) const
|
||
|
|
{
|
||
|
|
static const double lut[3][4] = {{-3.0/2.0, 9.0/2.0, -9.0/2.0, 3.0/2.0},
|
||
|
|
{2.0, -5.0, 4.0, -1.0},
|
||
|
|
{-1.0/2.0, 0.0, 1.0/2.0, 0.0}};
|
||
|
|
_ASSERT(i < 4, "Catmull-Rom spline can be only cubic");
|
||
|
|
return t * t * lut[0][i] + t * lut[1][i] + lut[2][i];
|
||
|
|
}
|