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///////////////////////////////////////////////////////////////////////////
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//
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// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
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// Digital Ltd. LLC
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//
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// All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// * Redistributions in binary form must reproduce the above
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// copyright notice, this list of conditions and the following disclaimer
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// in the documentation and/or other materials provided with the
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// distribution.
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// * Neither the name of Industrial Light & Magic nor the names of
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// its contributors may be used to endorse or promote products derived
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// from this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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///////////////////////////////////////////////////////////////////////////
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//-----------------------------------------------------------------------------
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//
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// 16-bit Haar Wavelet encoding and decoding
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//
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// The source code in this file is derived from the encoding
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// and decoding routines written by Christian Rouet for his
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// PIZ image file format.
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//
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//-----------------------------------------------------------------------------
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#include <ImfWav.h>
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namespace Imf {
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namespace {
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//
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// Wavelet basis functions without modulo arithmetic; they produce
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// the best compression ratios when the wavelet-transformed data are
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// Huffman-encoded, but the wavelet transform works only for 14-bit
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// data (untransformed data values must be less than (1 << 14)).
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//
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inline void
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wenc14 (unsigned short a, unsigned short b,
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unsigned short &l, unsigned short &h)
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{
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short as = a;
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short bs = b;
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short ms = (as + bs) >> 1;
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short ds = as - bs;
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l = ms;
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h = ds;
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}
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inline void
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wdec14 (unsigned short l, unsigned short h,
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unsigned short &a, unsigned short &b)
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{
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short ls = l;
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short hs = h;
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int hi = hs;
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int ai = ls + (hi & 1) + (hi >> 1);
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short as = ai;
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short bs = ai - hi;
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a = as;
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b = bs;
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}
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//
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// Wavelet basis functions with modulo arithmetic; they work with full
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// 16-bit data, but Huffman-encoding the wavelet-transformed data doesn't
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// compress the data quite as well.
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//
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const int NBITS = 16;
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const int A_OFFSET = 1 << (NBITS - 1);
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const int M_OFFSET = 1 << (NBITS - 1);
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const int MOD_MASK = (1 << NBITS) - 1;
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inline void
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wenc16 (unsigned short a, unsigned short b,
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unsigned short &l, unsigned short &h)
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{
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int ao = (a + A_OFFSET) & MOD_MASK;
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int m = ((ao + b) >> 1);
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int d = ao - b;
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if (d < 0)
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m = (m + M_OFFSET) & MOD_MASK;
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d &= MOD_MASK;
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l = m;
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h = d;
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}
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inline void
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wdec16 (unsigned short l, unsigned short h,
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unsigned short &a, unsigned short &b)
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{
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int m = l;
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int d = h;
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int bb = (m - (d >> 1)) & MOD_MASK;
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int aa = (d + bb - A_OFFSET) & MOD_MASK;
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b = bb;
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a = aa;
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}
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} // namespace
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//
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// 2D Wavelet encoding:
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//
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void
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wav2Encode
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(unsigned short* in, // io: values are transformed in place
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int nx, // i : x size
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int ox, // i : x offset
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int ny, // i : y size
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int oy, // i : y offset
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unsigned short mx) // i : maximum in[x][y] value
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{
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bool w14 = (mx < (1 << 14));
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int n = (nx > ny)? ny: nx;
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int p = 1; // == 1 << level
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int p2 = 2; // == 1 << (level+1)
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//
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// Hierachical loop on smaller dimension n
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//
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while (p2 <= n)
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{
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unsigned short *py = in;
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unsigned short *ey = in + oy * (ny - p2);
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int oy1 = oy * p;
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int oy2 = oy * p2;
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int ox1 = ox * p;
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int ox2 = ox * p2;
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unsigned short i00,i01,i10,i11;
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//
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// Y loop
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//
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for (; py <= ey; py += oy2)
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{
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unsigned short *px = py;
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unsigned short *ex = py + ox * (nx - p2);
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//
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// X loop
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//
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for (; px <= ex; px += ox2)
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{
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unsigned short *p01 = px + ox1;
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unsigned short *p10 = px + oy1;
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unsigned short *p11 = p10 + ox1;
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//
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// 2D wavelet encoding
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//
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if (w14)
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{
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wenc14 (*px, *p01, i00, i01);
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wenc14 (*p10, *p11, i10, i11);
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wenc14 (i00, i10, *px, *p10);
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wenc14 (i01, i11, *p01, *p11);
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}
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else
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{
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wenc16 (*px, *p01, i00, i01);
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wenc16 (*p10, *p11, i10, i11);
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wenc16 (i00, i10, *px, *p10);
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wenc16 (i01, i11, *p01, *p11);
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}
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}
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//
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// Encode (1D) odd column (still in Y loop)
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//
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if (nx & p)
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{
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unsigned short *p10 = px + oy1;
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if (w14)
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wenc14 (*px, *p10, i00, *p10);
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else
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wenc16 (*px, *p10, i00, *p10);
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*px= i00;
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}
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}
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//
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// Encode (1D) odd line (must loop in X)
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//
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if (ny & p)
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{
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unsigned short *px = py;
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unsigned short *ex = py + ox * (nx - p2);
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for (; px <= ex; px += ox2)
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{
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unsigned short *p01 = px + ox1;
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if (w14)
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wenc14 (*px, *p01, i00, *p01);
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else
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wenc16 (*px, *p01, i00, *p01);
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*px= i00;
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}
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}
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//
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// Next level
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//
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p = p2;
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p2 <<= 1;
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}
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}
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//
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// 2D Wavelet decoding:
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//
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void
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wav2Decode
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(unsigned short* in, // io: values are transformed in place
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int nx, // i : x size
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int ox, // i : x offset
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int ny, // i : y size
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int oy, // i : y offset
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unsigned short mx) // i : maximum in[x][y] value
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{
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bool w14 = (mx < (1 << 14));
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int n = (nx > ny)? ny: nx;
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int p = 1;
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int p2;
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//
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// Search max level
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//
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while (p <= n)
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p <<= 1;
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p >>= 1;
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p2 = p;
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p >>= 1;
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//
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// Hierarchical loop on smaller dimension n
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//
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while (p >= 1)
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{
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unsigned short *py = in;
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unsigned short *ey = in + oy * (ny - p2);
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int oy1 = oy * p;
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int oy2 = oy * p2;
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int ox1 = ox * p;
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int ox2 = ox * p2;
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unsigned short i00,i01,i10,i11;
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//
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// Y loop
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//
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for (; py <= ey; py += oy2)
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{
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unsigned short *px = py;
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unsigned short *ex = py + ox * (nx - p2);
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//
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// X loop
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//
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for (; px <= ex; px += ox2)
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{
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unsigned short *p01 = px + ox1;
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unsigned short *p10 = px + oy1;
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unsigned short *p11 = p10 + ox1;
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//
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// 2D wavelet decoding
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//
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if (w14)
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{
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wdec14 (*px, *p10, i00, i10);
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wdec14 (*p01, *p11, i01, i11);
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wdec14 (i00, i01, *px, *p01);
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wdec14 (i10, i11, *p10, *p11);
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}
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else
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{
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wdec16 (*px, *p10, i00, i10);
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wdec16 (*p01, *p11, i01, i11);
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wdec16 (i00, i01, *px, *p01);
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wdec16 (i10, i11, *p10, *p11);
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}
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}
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//
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// Decode (1D) odd column (still in Y loop)
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//
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if (nx & p)
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{
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unsigned short *p10 = px + oy1;
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if (w14)
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wdec14 (*px, *p10, i00, *p10);
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else
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wdec16 (*px, *p10, i00, *p10);
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*px= i00;
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}
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}
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//
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// Decode (1D) odd line (must loop in X)
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//
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if (ny & p)
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{
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unsigned short *px = py;
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unsigned short *ex = py + ox * (nx - p2);
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for (; px <= ex; px += ox2)
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{
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unsigned short *p01 = px + ox1;
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if (w14)
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wdec14 (*px, *p01, i00, *p01);
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else
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wdec16 (*px, *p01, i00, *p01);
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*px= i00;
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}
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}
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//
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// Next level
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//
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p2 = p;
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p >>= 1;
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}
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}
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} // namespace Imf
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