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489 lines
18 KiB
C#
489 lines
18 KiB
C#
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//! \file ErisaMatrix.cs
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//! \date Fri Feb 26 01:12:26 2016
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//! \brief Erisa Library math methods.
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//
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// *****************************************************************************
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// E R I S A - L i b r a r y
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// ----------------------------------------------------------------------------
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// Copyright (C) 2000-2004 Leshade Entis. All rights reserved.
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// *****************************************************************************/
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//
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// C# port by morkt
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//
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using System;
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using System.Diagnostics;
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using GameRes.Utility;
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namespace GameRes.Formats.Entis
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{
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internal static class Erisa
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{
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public const int MIN_DCT_DEGREE = 2;
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public const int MAX_DCT_DEGREE = 12;
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static readonly float ERI_rCosPI4 = (float)Math.Cos (Math.PI / 4);
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static readonly float ERI_r2CosPI4 = 2 * ERI_rCosPI4;
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static readonly float[] ERI_DCTofK2 = new float[2];
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static readonly float[][] ERI_pMatrixDCTofK = new float[MAX_DCT_DEGREE][]
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{
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null,
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ERI_DCTofK2, // = cos( (2*i+1) / 8 )
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new float[4], // = cos( (2*i+1) / 16 )
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new float[8], // = cos( (2*i+1) / 32 )
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new float[16], // = cos( (2*i+1) / 64 )
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new float[32], // = cos( (2*i+1) / 128 )
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new float[64], // = cos( (2*i+1) / 256 )
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new float[128], // = cos( (2*i+1) / 512 )
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new float[256], // = cos( (2*i+1) / 1024 )
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new float[512], // = cos( (2*i+1) / 2048 )
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new float[1024], // = cos( (2*i+1) / 4096 )
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new float[2048], // = cos( (2*i+1) / 8192 )
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};
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static Erisa ()
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{
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InitializeMatrix();
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}
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public static void InitializeMatrix ()
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{
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for (int i = 1; i < MAX_DCT_DEGREE; i++)
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{
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int n = (1 << i);
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float[] pDCTofK = ERI_pMatrixDCTofK[i];
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double nr = Math.PI / (4.0 * n);
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double dr = nr + nr;
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double ir = nr;
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for (int j = 0; j < n; j++)
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{
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pDCTofK[j] = (float)Math.Cos (ir);
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ir += dr;
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}
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}
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}
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public static void RoundR32ToWordArray (byte[] ptrDst, int dst, int nStep, float[] ptrSrc, int nCount)
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{
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nStep *= 2;
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for (int i = 0; i < nCount; i++)
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{
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int nValue = RoundR32ToInt (ptrSrc[i]);
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if (nValue <= -0x8000)
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{
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LittleEndian.Pack ((short)-0x8000, ptrDst, dst);
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}
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else if (nValue >= 0x7FFF)
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{
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LittleEndian.Pack ((short)0x7FFF, ptrDst, dst);
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}
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else
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{
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LittleEndian.Pack ((short)nValue, ptrDst, dst);
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}
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dst += nStep;
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}
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}
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public static int RoundR32ToInt (float r)
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{
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if (r >= 0.0)
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return (int)Math.Floor (r + 0.5);
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else
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return (int)Math.Ceiling (r - 0.5);
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}
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public static EriSinCos[] CreateRevolveParameter (int nDegreeDCT)
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{
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int nDegreeNum = 1 << nDegreeDCT;
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int lc = 1;
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for (int n = nDegreeNum / 2; n >= 8; n /= 8)
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{
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++lc;
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}
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EriSinCos[] ptrRevolve = new EriSinCos[lc*8];
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double k = Math.PI / (nDegreeNum * 2);
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int ptrNextRev = 0;
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int nStep = 2;
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do
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{
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for (int i = 0; i < 7; i++)
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{
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double ws = 1.0;
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double a = 0.0;
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for (int j = 0; j < i; j++)
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{
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a += nStep;
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ws = ws * ptrRevolve[ptrNextRev+j].rSin + ptrRevolve[ptrNextRev+j].rCos * Math.Cos (a * k);
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}
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double r = Math.Atan2 (ws, Math.Cos ((a + nStep) * k));
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ptrRevolve[ptrNextRev+i].rSin = (float)Math.Sin (r);
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ptrRevolve[ptrNextRev+i].rCos = (float)Math.Cos (r);
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}
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ptrNextRev += 7;
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nStep *= 8;
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}
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while (nStep < nDegreeNum);
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return ptrRevolve;
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}
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public static void OddGivensInverseMatrix (float[] ptrSrc, int src, EriSinCos[] ptrRevolve, int nDegreeDCT)
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{
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int nDegreeNum = 1 << nDegreeDCT;
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int index = 1;
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int nStep = 2;
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int lc = (nDegreeNum / 2) / 8;
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int resolve_idx = 0;
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for (;;)
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{
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resolve_idx += 7;
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index += nStep * 7;
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nStep *= 8;
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if (lc <= 8)
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break;
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lc /= 8;
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}
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int k = index + nStep * (lc - 2);
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int j;
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float r1, r2;
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for (j = lc - 2; j >= 0; j--)
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{
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r1 = ptrSrc[src + k];
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r2 = ptrSrc[src + k + nStep];
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ptrSrc[src + k] = r1 * ptrRevolve[resolve_idx+j].rCos + r2 * ptrRevolve[resolve_idx+j].rSin;
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ptrSrc[src + k + nStep] = r2 * ptrRevolve[resolve_idx+j].rCos - r1 * ptrRevolve[resolve_idx+j].rSin;
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k -= nStep;
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}
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for (; lc <= (nDegreeNum / 2) / 8; lc *= 8)
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{
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resolve_idx -= 7;
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nStep /= 8;
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index -= nStep * 7;
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for (int i = 0; i < lc; i++)
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{
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k = i * (nStep * 8) + index + nStep * 6;
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for ( j = 6; j >= 0; j -- )
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{
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r1 = ptrSrc[src + k];
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r2 = ptrSrc[src + k + nStep];
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ptrSrc[src + k] =
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r1 * ptrRevolve[resolve_idx+j].rCos + r2 * ptrRevolve[resolve_idx+j].rSin;
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ptrSrc[src + k + nStep] =
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r2 * ptrRevolve[resolve_idx+j].rCos - r1 * ptrRevolve[resolve_idx+j].rSin;
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k -= nStep;
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}
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}
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}
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}
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public static void FastIPLOT (float[] ptrSrc, int src, int nDegreeDCT)
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{
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int nDegreeNum = 1 << nDegreeDCT;
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for (int i = 0; i < nDegreeNum; i += 2)
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{
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float r1 = ptrSrc[src + i];
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float r2 = ptrSrc[src + i + 1];
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ptrSrc[src + i] = 0.5f * (r1 + r2);
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ptrSrc[src + i + 1] = 0.5f * (r1 - r2);
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}
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}
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public static void FastILOT (float[] ptrDst, float[] ptrSrc1, int src1, float[] ptrSrc2, int src2, int nDegreeDCT)
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{
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int nDegreeNum = 1 << nDegreeDCT;
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for (int i = 0; i < nDegreeNum; i += 2)
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{
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float r1 = ptrSrc1[src1 + i];
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float r2 = ptrSrc2[src2 + i + 1];
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ptrDst[i] = r1 + r2;
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ptrDst[i + 1] = r1 - r2;
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}
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}
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public static void FastDCT (float[] ptrDst, int dst, int nDstInterval, float[] ptrSrc, int src, float[] ptrWorkBuf, int work, int nDegreeDCT)
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{
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Debug.Assert ((nDegreeDCT >= MIN_DCT_DEGREE) && (nDegreeDCT <= MAX_DCT_DEGREE));
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if (nDegreeDCT == MIN_DCT_DEGREE)
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{
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float[] r32Buf = new float[4];
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r32Buf[0] = ptrSrc[src] + ptrSrc[src+3];
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r32Buf[2] = ptrSrc[src] - ptrSrc[src+3];
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r32Buf[1] = ptrSrc[src+1] + ptrSrc[src+2];
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r32Buf[3] = ptrSrc[src+1] - ptrSrc[src+2];
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ptrDst[dst] = 0.5f * (r32Buf[0] + r32Buf[1]);
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ptrDst[dst+nDstInterval * 2] = ERI_rCosPI4 * (r32Buf[0] - r32Buf[1]);
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r32Buf[2] = ERI_DCTofK2[0] * r32Buf[2];
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r32Buf[3] = ERI_DCTofK2[1] * r32Buf[3];
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r32Buf[0] = r32Buf[2] + r32Buf[3];
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r32Buf[1] = ERI_r2CosPI4 * (r32Buf[2] - r32Buf[3]);
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r32Buf[1] -= r32Buf[0];
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ptrDst[dst+nDstInterval] = r32Buf[0];
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ptrDst[dst+nDstInterval * 3] = r32Buf[1];
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}
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else
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{
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uint i;
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uint nDegreeNum = 1u << nDegreeDCT;
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uint nHalfDegree = nDegreeNum >> 1;
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for (i = 0; i < nHalfDegree; i++)
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{
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ptrWorkBuf[work+i] = ptrSrc[src+i] + ptrSrc[src + nDegreeNum - i - 1];
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ptrWorkBuf[work+i + nHalfDegree] = ptrSrc[src+i] - ptrSrc[src + nDegreeNum - i - 1];
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}
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int nDstStep = nDstInterval << 1;
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FastDCT (ptrDst, dst, nDstStep, ptrWorkBuf, work, ptrSrc, src, nDegreeDCT - 1);
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float[] pDCTofK = ERI_pMatrixDCTofK[nDegreeDCT - 1];
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src = (int)(work+nHalfDegree); // ptrSrc = ptrWorkBuf + nHalfDegree;
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dst += nDstInterval; // ptrDst += nDstInterval;
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for (i = 0; i < nHalfDegree; i++)
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{
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ptrWorkBuf[src + i] *= pDCTofK[i];
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}
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FastDCT (ptrDst, dst, nDstStep, ptrWorkBuf, src, ptrWorkBuf, work, nDegreeDCT - 1);
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int ptrNext = dst; // within ptrDst;
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for (i = 0; i < nHalfDegree; i++)
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{
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ptrDst[ptrNext] += ptrDst[ptrNext]; // *ptrNext += *ptrNext;
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ptrNext += nDstStep;
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}
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ptrNext = dst;
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for (i = 1; i < nHalfDegree; i ++)
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{
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ptrDst[ptrNext + nDstStep] -= ptrDst[ptrNext];
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ptrNext += nDstStep;
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}
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}
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}
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public static void FastIDCT (float[] ptrDst, float[] srcBuf, int ptrSrc, int nSrcInterval, float[] ptrWorkBuf, int nDegreeDCT)
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{
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FastIDCT (ptrDst, 0, srcBuf, ptrSrc, nSrcInterval, ptrWorkBuf, nDegreeDCT);
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}
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public static void FastIDCT (float[] dstBuf, int ptrDst, float[] srcBuf, int ptrSrc, int nSrcInterval, float[] ptrWorkBuf, int nDegreeDCT)
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{
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Debug.Assert ((nDegreeDCT >= MIN_DCT_DEGREE) && (nDegreeDCT <= MAX_DCT_DEGREE));
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if (nDegreeDCT == MIN_DCT_DEGREE)
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{
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float[] r32Buf1 = new float[2];
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float[] r32Buf2 = new float[4];
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r32Buf1[0] = srcBuf[ptrSrc];
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r32Buf1[1] = ERI_rCosPI4 * srcBuf[ptrSrc + nSrcInterval * 2];
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r32Buf2[0] = r32Buf1[0] + r32Buf1[1];
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r32Buf2[1] = r32Buf1[0] - r32Buf1[1];
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r32Buf1[0] = ERI_DCTofK2[0] * srcBuf[ptrSrc + nSrcInterval];
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r32Buf1[1] = ERI_DCTofK2[1] * srcBuf[ptrSrc + nSrcInterval * 3];
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r32Buf2[2] = r32Buf1[0] + r32Buf1[1];
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r32Buf2[3] = ERI_r2CosPI4 * (r32Buf1[0] - r32Buf1[1]);
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r32Buf2[3] -= r32Buf2[2];
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dstBuf[ptrDst] = r32Buf2[0] + r32Buf2[2];
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dstBuf[ptrDst+3] = r32Buf2[0] - r32Buf2[2];
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dstBuf[ptrDst+1] = r32Buf2[1] + r32Buf2[3];
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dstBuf[ptrDst+2] = r32Buf2[1] - r32Buf2[3];
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}
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else
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{
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uint nDegreeNum = 1u << nDegreeDCT;
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uint nHalfDegree = nDegreeNum >> 1;
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int nSrcStep = nSrcInterval << 1;
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FastIDCT (dstBuf, ptrDst, srcBuf, ptrSrc, nSrcStep, ptrWorkBuf, nDegreeDCT - 1);
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float[] pDCTofK = ERI_pMatrixDCTofK[nDegreeDCT - 1];
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int pOddDst = ptrDst + (int)nHalfDegree; // within dstBuf
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int ptrNext = ptrSrc + nSrcInterval; // within srcBuf
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uint i;
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for (i = 0; i < nHalfDegree; i++)
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{
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ptrWorkBuf[i] = srcBuf[ptrNext] * pDCTofK[i];
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ptrNext += nSrcStep;
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}
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FastDCT (dstBuf, pOddDst, 1, ptrWorkBuf, 0, ptrWorkBuf, (int)nHalfDegree, nDegreeDCT - 1);
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for (i = 0; i < nHalfDegree; i ++)
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{
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dstBuf[pOddDst + i] += dstBuf[pOddDst + i];
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}
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for (i = 1; i < nHalfDegree; i++)
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{
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dstBuf[pOddDst + i] -= dstBuf[pOddDst + i - 1];
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}
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float[] r32Buf = new float[4];
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uint nQuadDegree = nHalfDegree >> 1;
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for (i = 0; i < nQuadDegree; i++)
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|
{
|
||
|
|
r32Buf[0] = dstBuf[ptrDst+i] + dstBuf[nHalfDegree + i];
|
||
|
|
r32Buf[3] = dstBuf[ptrDst+i] - dstBuf[nHalfDegree + i];
|
||
|
|
r32Buf[1] = dstBuf[nHalfDegree - 1 - i] + dstBuf[ptrDst + nDegreeNum - 1 - i];
|
||
|
|
r32Buf[2] = dstBuf[nHalfDegree - 1 - i] - dstBuf[ptrDst + nDegreeNum - 1 - i];
|
||
|
|
|
||
|
|
dstBuf[ptrDst+i] = r32Buf[0];
|
||
|
|
dstBuf[nHalfDegree - 1 - i] = r32Buf[1];
|
||
|
|
dstBuf[nHalfDegree + i] = r32Buf[2];
|
||
|
|
dstBuf[ptrDst+nDegreeNum - 1 - i] = r32Buf[3];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void Revolve2x2 (float[] buf1, int ptrBuf1, float[] buf2, int ptrBuf2, float rSin, float rCos, int nStep, int nCount)
|
||
|
|
{
|
||
|
|
for (int i = 0; i < nCount; i++)
|
||
|
|
{
|
||
|
|
float r1 = buf1[ptrBuf1];
|
||
|
|
float r2 = buf2[ptrBuf2];
|
||
|
|
|
||
|
|
buf1[ptrBuf1] = r1 * rCos - r2 * rSin;
|
||
|
|
buf2[ptrBuf2] = r1 * rSin + r2 * rCos;
|
||
|
|
|
||
|
|
ptrBuf1 += nStep;
|
||
|
|
ptrBuf2 += nStep;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void ConvertArraySByteToFloat (float[] ptrDst, sbyte[] ptrSrc, int src, int nCount)
|
||
|
|
{
|
||
|
|
for (int i = 0; i < nCount; ++i)
|
||
|
|
{
|
||
|
|
ptrDst[i] = ptrSrc[src+i];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void VectorMultiply (float[] ptrDst, float[] ptrSrc, int src, int nCount)
|
||
|
|
{
|
||
|
|
for (int i = 0; i < nCount; ++i)
|
||
|
|
{
|
||
|
|
ptrDst[i] *= ptrSrc[src+i];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void FastIDCT8x8 (float[] ptrDst)
|
||
|
|
{
|
||
|
|
var rWork = new float[8];
|
||
|
|
var rTemp = new float[64];
|
||
|
|
for (int i = 0; i < 8; ++i)
|
||
|
|
FastIDCT (rTemp, i * 8, ptrDst, i, 8, rWork, 3);
|
||
|
|
|
||
|
|
for (int i = 0; i < 8; ++i)
|
||
|
|
FastIDCT (ptrDst, i * 8, rTemp, i, 8, rWork, 3);
|
||
|
|
}
|
||
|
|
|
||
|
|
static readonly EriSinCos[] escRev = new EriSinCos[3]
|
||
|
|
{
|
||
|
|
new EriSinCos { rSin = 0.734510f, rCos = 0.678598f },
|
||
|
|
new EriSinCos { rSin = 0.887443f, rCos = 0.460917f },
|
||
|
|
new EriSinCos { rSin = 0.970269f, rCos = 0.242030f }
|
||
|
|
};
|
||
|
|
|
||
|
|
public static void FastILOT8x8 (float[] ptrDst, float[] horz, int ptrHorzCur, float[] vert, int ptrVertCur)
|
||
|
|
{
|
||
|
|
var rWork = new float[8];
|
||
|
|
var rTemp = new float[64];
|
||
|
|
float s1, s2, r1, r2, r3;
|
||
|
|
int i, j, k;
|
||
|
|
|
||
|
|
for (i = 0; i < 8; i++)
|
||
|
|
{
|
||
|
|
for (j = 2, k = i + 40; j >= 0; j--, k -= 16)
|
||
|
|
{
|
||
|
|
r1 = ptrDst[k];
|
||
|
|
r2 = ptrDst[k + 16];
|
||
|
|
ptrDst[k] = r1 * escRev[j].rCos + r2 * escRev[j].rSin;
|
||
|
|
ptrDst[k + 16] = r2 * escRev[j].rCos - r1 * escRev[j].rSin;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
for (i = 0; i < 64; i += 16)
|
||
|
|
{
|
||
|
|
for (j = 0; j < 8; j++)
|
||
|
|
{
|
||
|
|
k = i + j;
|
||
|
|
s1 = ptrDst[k];
|
||
|
|
s2 = ptrDst[k + 8];
|
||
|
|
r1 = 0.5f * (s1 + s2);
|
||
|
|
r2 = 0.5f * (s1 - s2);
|
||
|
|
|
||
|
|
r3 = vert[ptrVertCur+k];
|
||
|
|
vert[ptrVertCur+k] = r1;
|
||
|
|
vert[ptrVertCur+k + 8] = r2;
|
||
|
|
ptrDst[k] = r3 + r2;
|
||
|
|
ptrDst[k + 8] = r3 - r2;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
for (i = 0; i < 64; i += 8)
|
||
|
|
{
|
||
|
|
for (j = 2, k = i + 5; j >= 0; j--, k -= 2)
|
||
|
|
{
|
||
|
|
r1 = ptrDst[k];
|
||
|
|
r2 = ptrDst[k + 2];
|
||
|
|
ptrDst[k] = r1 * escRev[j].rCos + r2 * escRev[j].rSin;
|
||
|
|
ptrDst[k + 2] = r2 * escRev[j].rCos - r1 * escRev[j].rSin;
|
||
|
|
}
|
||
|
|
for ( j = 0; j < 8; j += 2 )
|
||
|
|
{
|
||
|
|
k = i + j;
|
||
|
|
s1 = ptrDst[k];
|
||
|
|
s2 = ptrDst[k + 1];
|
||
|
|
r1 = 0.5f * (s1 + s2);
|
||
|
|
r2 = 0.5f * (s1 - s2);
|
||
|
|
r3 = horz[ptrHorzCur+k];
|
||
|
|
horz[ptrHorzCur+k] = r1;
|
||
|
|
horz[ptrHorzCur+k + 1] = r2;
|
||
|
|
ptrDst[k] = r3 + r2;
|
||
|
|
ptrDst[k + 1] = r3 - r2;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
for (i = 0; i < 8; i++)
|
||
|
|
FastIDCT (rTemp, i * 8, ptrDst, i, 8, rWork, 3);
|
||
|
|
|
||
|
|
for (i = 0; i < 8; i++)
|
||
|
|
FastIDCT (ptrDst, i * 8, rTemp, i, 8, rWork, 3);
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void ConvertArrayFloatToByte (sbyte[] ptrDst, float[] ptrSrc, int nCount)
|
||
|
|
{
|
||
|
|
for (int i = 0; i < nCount; i++)
|
||
|
|
{
|
||
|
|
int n = RoundR32ToInt (ptrSrc[i]);
|
||
|
|
if ((uint)n > 0xFF)
|
||
|
|
{
|
||
|
|
n = (~n >> 31) & 0xFF;
|
||
|
|
}
|
||
|
|
ptrDst[i] = (sbyte)n;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static void ConvertArrayFloatToSByte (sbyte[] ptrDst, float[] ptrSrc, int nCount)
|
||
|
|
{
|
||
|
|
for (int i = 0; i < nCount; i++)
|
||
|
|
{
|
||
|
|
int n = RoundR32ToInt (ptrSrc[i]);
|
||
|
|
if (n < -0x80)
|
||
|
|
n = -0x80;
|
||
|
|
else if (n > 0x7F)
|
||
|
|
n = 0x7F;
|
||
|
|
ptrDst[i] = (sbyte)n;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|