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audio: converting int32 to/from float shouldn't use doubles.
The concern is that a massive int sample, like 0x7FFFFFFF, won't fit in a float32, which doesn't have enough bits to hold a whole number this large, just to divide it to get a value between 0 and 1. Previously we would convert to double, to get more bits, do the division, and cast back to a float, but this is expensive. Casting to double is more accurate, but it's 2x to 3x slower. Shifting out the least significant byte of an int32, so it'll definitely fit in a float, and dividing by 0x7FFFFF is still accurate to about 5 decimal places, and the difference doesn't appear to be perceptable.
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@ -62,7 +62,7 @@ SDL_AudioFilter SDL_Convert_F32_to_S32 = NULL;
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#define DIVBY128 0.0078125f
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#define DIVBY32768 0.000030517578125f
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#define DIVBY2147483648 0.00000000046566128730773926
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#define DIVBY8388607 0.00000011920930376163766f
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#if NEED_SCALAR_CONVERTER_FALLBACKS
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@ -152,7 +152,7 @@ SDL_Convert_S32_to_F32_Scalar(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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LOG_DEBUG_CONVERT("AUDIO_S32", "AUDIO_F32");
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for (i = cvt->len_cvt / sizeof (Sint32); i; --i, ++src, ++dst) {
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*dst = (float) (((double) *src) * DIVBY2147483648);
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*dst = ((float) (*src>>8)) * DIVBY8388607;
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}
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if (cvt->filters[++cvt->filter_index]) {
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@ -280,7 +280,7 @@ SDL_Convert_F32_to_S32_Scalar(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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} else if (sample < -1.0f) {
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*dst = -2147483647;
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} else {
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*dst = (Sint32)((double)sample * 2147483647.0);
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*dst = ((Sint32)(sample * 8388607.0f)) << 8;
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}
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}
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@ -509,16 +509,6 @@ SDL_Convert_U16_to_F32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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}
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}
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#if defined(__GNUC__) && (__GNUC__ < 4)
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/* these were added as of gcc-4.0: http://gcc.gnu.org/bugzilla/show_bug.cgi?id=19418 */
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static inline __m128 _mm_castsi128_ps(__m128i __A) {
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return (__m128) __A;
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}
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static inline __m128i _mm_castps_si128(__m128 __A) {
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return (__m128i) __A;
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}
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#endif
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static void SDLCALL
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SDL_Convert_S32_to_F32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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{
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@ -530,7 +520,7 @@ SDL_Convert_S32_to_F32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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/* Get dst aligned to 16 bytes */
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for (i = cvt->len_cvt / sizeof (Sint32); i && (((size_t) dst) & 15); --i, ++src, ++dst) {
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*dst = (float) (((double) *src) * DIVBY2147483648);
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*dst = ((float) (*src>>8)) * DIVBY8388607;
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}
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SDL_assert(!i || ((((size_t) dst) & 15) == 0));
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@ -538,15 +528,11 @@ SDL_Convert_S32_to_F32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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{
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/* Aligned! Do SSE blocks as long as we have 16 bytes available. */
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const __m128d divby2147483648 = _mm_set1_pd(DIVBY2147483648);
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const __m128 divby8388607 = _mm_set1_ps(DIVBY8388607);
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const __m128i *mmsrc = (const __m128i *) src;
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while (i >= 4) { /* 4 * sint32 */
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const __m128i ints = _mm_load_si128(mmsrc);
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/* bitshift the whole register over, so _mm_cvtepi32_pd can read the top ints in the bottom of the vector. */
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const __m128d doubles1 = _mm_mul_pd(_mm_cvtepi32_pd(_mm_srli_si128(ints, 8)), divby2147483648);
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const __m128d doubles2 = _mm_mul_pd(_mm_cvtepi32_pd(ints), divby2147483648);
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/* convert to float32, bitshift/or to get these into a vector to store. */
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_mm_store_ps(dst, _mm_castsi128_ps(_mm_or_si128(_mm_slli_si128(_mm_castps_si128(_mm_cvtpd_ps(doubles1)), 8), _mm_castps_si128(_mm_cvtpd_ps(doubles2)))));
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/* shift out lowest bits so int fits in a float32. Small precision loss, but much faster. */
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_mm_store_ps(dst, _mm_mul_ps(_mm_cvtepi32_ps(_mm_srli_epi32(_mm_load_si128(mmsrc), 8)), divby8388607));
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i -= 4; mmsrc++; dst += 4;
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}
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src = (const Sint32 *) mmsrc;
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@ -554,7 +540,7 @@ SDL_Convert_S32_to_F32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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/* Finish off any leftovers with scalar operations. */
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while (i) {
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*dst = (float) (((double) *src) * DIVBY2147483648);
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*dst = ((float) (*src>>8)) * DIVBY8388607;
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i--; src++; dst++;
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}
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@ -755,7 +741,7 @@ SDL_Convert_F32_to_S32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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/* Get dst aligned to 16 bytes */
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for (i = cvt->len_cvt / sizeof (float); i && (((size_t) dst) & 15); --i, ++src, ++dst) {
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*dst = (Sint32) (((double) *src) * 2147483647.0);
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*dst = ((Sint32)(*src * 8388607.0f)) << 8;
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}
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SDL_assert(!i || ((((size_t) dst) & 15) == 0));
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@ -763,14 +749,10 @@ SDL_Convert_F32_to_S32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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{
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/* Aligned! Do SSE blocks as long as we have 16 bytes available. */
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const __m128d mulby2147483647 = _mm_set1_pd(2147483647.0);
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const __m128 mulby8388607 = _mm_set1_ps(8388607.0f);
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__m128i *mmdst = (__m128i *) dst;
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while (i >= 4) { /* 4 * float32 */
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const __m128 floats = _mm_load_ps(src);
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/* bitshift the whole register over, so _mm_cvtps_pd can read the top floats in the bottom of the vector. */
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const __m128d doubles1 = _mm_mul_pd(_mm_cvtps_pd(_mm_castsi128_ps(_mm_srli_si128(_mm_castps_si128(floats), 8))), mulby2147483647);
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const __m128d doubles2 = _mm_mul_pd(_mm_cvtps_pd(floats), mulby2147483647);
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_mm_store_si128(mmdst, _mm_or_si128(_mm_slli_si128(_mm_cvtpd_epi32(doubles1), 8), _mm_cvtpd_epi32(doubles2)));
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_mm_store_si128(mmdst, _mm_slli_epi32(_mm_cvtps_epi32(_mm_mul_ps(_mm_load_ps(src), mulby8388607)), 8));
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i -= 4; src += 4; mmdst++;
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}
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dst = (Sint32 *) mmdst;
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@ -778,7 +760,7 @@ SDL_Convert_F32_to_S32_SSE2(SDL_AudioCVT *cvt, SDL_AudioFormat format)
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/* Finish off any leftovers with scalar operations. */
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while (i) {
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*dst = (Sint32) (((double) *src) * 2147483647.0);
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*dst = ((Sint32)(*src * 8388607.0f)) << 8;
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i--; src++; dst++;
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}
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