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Fix FindClosestDiscretized in near lossless:
- The result is now indeed closest among possible results for all inputs, which was not the case for bits>4, where the mapping was not even monotonic because GetValAndDistance was correct only if the significant part of initial fit in a byte at most twice. - The set of results for a larger number of bits dropped is a subset of values for a smaller number of bits dropped. This implies that subsequent discretizations for a smaller number of bits dropped do not change already discretized pixels, which improves the quality (changes do not accumulate) and compression density (values tend to repeat more often). - Errors are more fairly distributed between upwards and downwards thanks to bankers’ rounding, which avoids images getting darker or lighter in overall. - Deltas between discretized values are more repetitive. This improves compression density if delta encoding is used. Also, the implementation is much shorter now. Change-Id: I0a98e7d5255e91a7b9c193a156cf5405d9701f16
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@ -14,6 +14,7 @@
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// Author: Jyrki Alakuijala (jyrki@google.com)
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// Converted to C by Aleksander Kramarz (akramarz@google.com)
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#include <assert.h>
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#include <stdlib.h>
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#include "../dsp/lossless.h"
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@ -23,42 +24,14 @@
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#define MIN_DIM_FOR_NEAR_LOSSLESS 64
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#define MAX_LIMIT_BITS 5
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// Computes quantized pixel value and distance from original value.
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static void GetValAndDistance(int a, int initial, int bits,
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int* const val, int* const distance) {
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const int mask = ~((1 << bits) - 1);
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*val = (initial & mask) | (initial >> (8 - bits));
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*distance = 2 * abs(a - *val);
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}
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// Clamps the value to range [0, 255].
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static int Clamp8b(int val) {
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const int min_val = 0;
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const int max_val = 0xff;
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return (val < min_val) ? min_val : (val > max_val) ? max_val : val;
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}
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// Quantizes values {a, a+(1<<bits), a-(1<<bits)} and returns the nearest one.
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// Quantizes the value up or down to a multiple of 1<<bits (or to 255),
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// choosing the closer one, resolving ties using bankers' rounding.
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static int FindClosestDiscretized(int a, int bits) {
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int best_val = a, i;
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int min_distance = 256;
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for (i = -1; i <= 1; ++i) {
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int candidate, distance;
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const int val = Clamp8b(a + i * (1 << bits));
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GetValAndDistance(a, val, bits, &candidate, &distance);
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if (i != 0) {
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++distance;
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}
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// Smallest distance but favor i == 0 over i == -1 and i == 1
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// since that keeps the overall intensity more constant in the
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// images.
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if (distance < min_distance) {
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min_distance = distance;
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best_val = candidate;
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}
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}
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return best_val;
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const int mask = (1 << bits) - 1;
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const int biased = a + (mask >> 1) + ((a >> bits) & 1);
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assert(bits > 0);
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if (biased > 0xff) return 0xff;
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return biased & ~mask;
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}
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// Applies FindClosestDiscretized to all channels of pixel.
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