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audioconvert: avoid even more precision loss in S32 to F32 conversion
There's really no point in doing that s25_32 intermediate step, to be honest i don't have a clue why the original implementation did that \_(ツ)_/¯. Both `S25_SCALE` and `S32_SCALE` are powers of two, and thus are both exactly representable as floats, and reprocial of power-of-two is also exactly representable, so it's not like that rescaling results in precision loss. This additionally avoids right-shift, and thus is even faster. As `test_lossless_s32_lossless_subset` shows, if the integer is in the form of s25+shift, the maximal absolute error became even lower, but not zero, because F32->S32 still goes through S25 intermediate. I think we could theoretically do better, but then the clamping becomes pretty finicky, so i don't feel like touching that here.
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4 changed files with 26 additions and 37 deletions
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@ -336,7 +336,7 @@ static void test_s32_f32(void)
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0xFFFFFF00, 0x0200, 0xFFFFFE00
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};
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static const float out[] = { 0.e+00f, 9.99999940395355224609375e-01f, -1.e+00f,
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static const float out[] = { 0.e+00f, 1.e+00f, -1.e+00f,
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9.9999988079071044921875e-01f, -9.9999988079071044921875e-01f, 5.e-01f,
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-5.e-01f, 5.9604644775390625e-08f, -5.9604644775390625e-08f,
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1.1920928955078125e-07f, -1.1920928955078125e-07f,
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@ -672,15 +672,15 @@ static void test_lossless_s32(void)
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{
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int64_t i;
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int32_t max_abs_err = -1;
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const int32_t expected_max_abs_err = 127;
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fprintf(stderr, "test %s:\n", __func__);
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for (i = S32_MIN; i < S32_MAX; i += (expected_max_abs_err >> 1)) {
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for (i = S32_MIN; i < S32_MAX; i += 63) {
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float v = S32_TO_F32(i);
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int32_t t = F32_TO_S32(v);
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max_abs_err = SPA_MAX(max_abs_err, SPA_ABS(i - t));
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spa_assert_se(SPA_ABS(i - t) <= 126);
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// NOTE: 126 is the maximal absolute error given step=1,
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// for wider steps it may (errneously) be lower,
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// because we may not check some integer that would bump it.
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}
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spa_assert_se(max_abs_err == expected_max_abs_err);
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}
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static void test_lossless_s32_lossless_subset(void)
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@ -700,7 +700,7 @@ static void test_lossless_s32_lossless_subset(void)
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}
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}
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spa_assert_se(!all_lossless);
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spa_assert_se(max_abs_err == 127);
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spa_assert_se(max_abs_err == 64);
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}
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static void test_lossless_u32(void)
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