Specialize and optimize ITransform_SSE2 using do_two

Change-Id: I976eb4a0cc4e669a02b55012d4aba1536f193781
This commit is contained in:
Nozomi Isozaki 2023-05-12 14:51:48 +09:00
parent ed27437160
commit ac42dde1c5

View File

@ -25,9 +25,160 @@
//------------------------------------------------------------------------------
// Transforms (Paragraph 14.4)
// Does one or two inverse transforms.
static void ITransform_SSE2(const uint8_t* ref, const int16_t* in, uint8_t* dst,
int do_two) {
// Does one inverse transform.
static void ITransform_One_SSE2(const uint8_t* ref, const int16_t* in,
uint8_t* dst) {
// This implementation makes use of 16-bit fixed point versions of two
// multiply constants:
// K1 = sqrt(2) * cos (pi/8) ~= 85627 / 2^16
// K2 = sqrt(2) * sin (pi/8) ~= 35468 / 2^16
//
// To be able to use signed 16-bit integers, we use the following trick to
// have constants within range:
// - Associated constants are obtained by subtracting the 16-bit fixed point
// version of one:
// k = K - (1 << 16) => K = k + (1 << 16)
// K1 = 85267 => k1 = 20091
// K2 = 35468 => k2 = -30068
// - The multiplication of a variable by a constant become the sum of the
// variable and the multiplication of that variable by the associated
// constant:
// (x * K) >> 16 = (x * (k + (1 << 16))) >> 16 = ((x * k ) >> 16) + x
const __m128i k1k2 = _mm_set_epi16(-30068, -30068, -30068, -30068,
20091, 20091, 20091, 20091);
const __m128i k2k1 = _mm_set_epi16(20091, 20091, 20091, 20091,
-30068, -30068, -30068, -30068);
const __m128i zero = _mm_setzero_si128();
const __m128i zero_four = _mm_set_epi16(0, 0, 0, 0, 4, 4, 4, 4);
__m128i T01, T23;
// Load and concatenate the transform coefficients.
const __m128i in01 = _mm_loadu_si128((const __m128i*)&in[0]);
const __m128i in23 = _mm_loadu_si128((const __m128i*)&in[8]);
// a00 a10 a20 a30 a01 a11 a21 a31
// a02 a12 a22 a32 a03 a13 a23 a33
// Vertical pass and subsequent transpose.
{
const __m128i in1 = _mm_unpackhi_epi64(in01, in01);
const __m128i in3 = _mm_unpackhi_epi64(in23, in23);
// First pass, c and d calculations are longer because of the "trick"
// multiplications.
// c = MUL(in1, K2) - MUL(in3, K1) = MUL(in1, k2) - MUL(in3, k1) + in1 - in3
// d = MUL(in1, K1) + MUL(in3, K2) = MUL(in1, k1) + MUL(in3, k2) + in1 + in3
const __m128i a_d3 = _mm_add_epi16(in01, in23);
const __m128i b_c3 = _mm_sub_epi16(in01, in23);
const __m128i c1d1 = _mm_mulhi_epi16(in1, k2k1);
const __m128i c2d2 = _mm_mulhi_epi16(in3, k1k2);
const __m128i c3 = _mm_unpackhi_epi64(b_c3, b_c3);
const __m128i c4 = _mm_sub_epi16(c1d1, c2d2);
const __m128i c = _mm_add_epi16(c3, c4);
const __m128i d4u = _mm_add_epi16(c1d1, c2d2);
const __m128i du = _mm_add_epi16(a_d3, d4u);
const __m128i d = _mm_unpackhi_epi64(du, du);
// Second pass.
const __m128i comb_ab = _mm_unpacklo_epi64(a_d3, b_c3);
const __m128i comb_dc = _mm_unpacklo_epi64(d, c);
const __m128i tmp01 = _mm_add_epi16(comb_ab, comb_dc);
const __m128i tmp32 = _mm_sub_epi16(comb_ab, comb_dc);
const __m128i tmp23 = _mm_shuffle_epi32(tmp32, _MM_SHUFFLE(1, 0, 3, 2));
const __m128i transpose_0 = _mm_unpacklo_epi16(tmp01, tmp23);
const __m128i transpose_1 = _mm_unpackhi_epi16(tmp01, tmp23);
// a00 a20 a01 a21 a02 a22 a03 a23
// a10 a30 a11 a31 a12 a32 a13 a33
T01 = _mm_unpacklo_epi16(transpose_0, transpose_1);
T23 = _mm_unpackhi_epi16(transpose_0, transpose_1);
// a00 a10 a20 a30 a01 a11 a21 a31
// a02 a12 a22 a32 a03 a13 a23 a33
}
// Horizontal pass and subsequent transpose.
{
const __m128i T1 = _mm_unpackhi_epi64(T01, T01);
const __m128i T3 = _mm_unpackhi_epi64(T23, T23);
// First pass, c and d calculations are longer because of the "trick"
// multiplications.
const __m128i dc = _mm_add_epi16(T01, zero_four);
// c = MUL(T1, K2) - MUL(T3, K1) = MUL(T1, k2) - MUL(T3, k1) + T1 - T3
// d = MUL(T1, K1) + MUL(T3, K2) = MUL(T1, k1) + MUL(T3, k2) + T1 + T3
const __m128i a_d3 = _mm_add_epi16(dc, T23);
const __m128i b_c3 = _mm_sub_epi16(dc, T23);
const __m128i c1d1 = _mm_mulhi_epi16(T1, k2k1);
const __m128i c2d2 = _mm_mulhi_epi16(T3, k1k2);
const __m128i c3 = _mm_unpackhi_epi64(b_c3, b_c3);
const __m128i c4 = _mm_sub_epi16(c1d1, c2d2);
const __m128i c = _mm_add_epi16(c3, c4);
const __m128i d4u = _mm_add_epi16(c1d1, c2d2);
const __m128i du = _mm_add_epi16(a_d3, d4u);
const __m128i d = _mm_unpackhi_epi64(du, du);
// Second pass.
const __m128i comb_ab = _mm_unpacklo_epi64(a_d3, b_c3);
const __m128i comb_dc = _mm_unpacklo_epi64(d, c);
const __m128i tmp01 = _mm_add_epi16(comb_ab, comb_dc);
const __m128i tmp32 = _mm_sub_epi16(comb_ab, comb_dc);
const __m128i tmp23 = _mm_shuffle_epi32(tmp32, _MM_SHUFFLE(1, 0, 3, 2));
const __m128i shifted01 = _mm_srai_epi16(tmp01, 3);
const __m128i shifted23 = _mm_srai_epi16(tmp23, 3);
// a00 a01 a02 a03 a10 a11 a12 a13
// a20 a21 a22 a23 a30 a31 a32 a33
const __m128i transpose_0 = _mm_unpacklo_epi16(shifted01, shifted23);
const __m128i transpose_1 = _mm_unpackhi_epi16(shifted01, shifted23);
// a00 a20 a01 a21 a02 a22 a03 a23
// a10 a30 a11 a31 a12 a32 a13 a33
T01 = _mm_unpacklo_epi16(transpose_0, transpose_1);
T23 = _mm_unpackhi_epi16(transpose_0, transpose_1);
// a00 a10 a20 a30 a01 a11 a21 a31
// a02 a12 a22 a32 a03 a13 a23 a33
}
// Add inverse transform to 'ref' and store.
{
// Load the reference(s).
__m128i ref01, ref23, ref0123;
int32_t buf[4];
// Load four bytes/pixels per line.
const __m128i ref0 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[0 * BPS]));
const __m128i ref1 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[1 * BPS]));
const __m128i ref2 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[2 * BPS]));
const __m128i ref3 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[3 * BPS]));
ref01 = _mm_unpacklo_epi32(ref0, ref1);
ref23 = _mm_unpacklo_epi32(ref2, ref3);
// Convert to 16b.
ref01 = _mm_unpacklo_epi8(ref01, zero);
ref23 = _mm_unpacklo_epi8(ref23, zero);
// Add the inverse transform(s).
ref01 = _mm_add_epi16(ref01, T01);
ref23 = _mm_add_epi16(ref23, T23);
// Unsigned saturate to 8b.
ref0123 = _mm_packus_epi16(ref01, ref23);
_mm_storeu_si128((__m128i *)buf, ref0123);
// Store four bytes/pixels per line.
WebPInt32ToMem(&dst[0 * BPS], buf[0]);
WebPInt32ToMem(&dst[1 * BPS], buf[1]);
WebPInt32ToMem(&dst[2 * BPS], buf[2]);
WebPInt32ToMem(&dst[3 * BPS], buf[3]);
}
}
// Does two inverse transforms.
static void ITransform_Two_SSE2(const uint8_t* ref, const int16_t* in,
uint8_t* dst) {
// This implementation makes use of 16-bit fixed point versions of two
// multiply constants:
// K1 = sqrt(2) * cos (pi/8) ~= 85627 / 2^16
@ -49,33 +200,21 @@ static void ITransform_SSE2(const uint8_t* ref, const int16_t* in, uint8_t* dst,
__m128i T0, T1, T2, T3;
// Load and concatenate the transform coefficients (we'll do two inverse
// transforms in parallel). In the case of only one inverse transform, the
// second half of the vectors will just contain random value we'll never
// use nor store.
// transforms in parallel).
__m128i in0, in1, in2, in3;
{
in0 = _mm_loadl_epi64((const __m128i*)&in[0]);
in1 = _mm_loadl_epi64((const __m128i*)&in[4]);
in2 = _mm_loadl_epi64((const __m128i*)&in[8]);
in3 = _mm_loadl_epi64((const __m128i*)&in[12]);
// a00 a10 a20 a30 x x x x
// a01 a11 a21 a31 x x x x
// a02 a12 a22 a32 x x x x
// a03 a13 a23 a33 x x x x
if (do_two) {
const __m128i inB0 = _mm_loadl_epi64((const __m128i*)&in[16]);
const __m128i inB1 = _mm_loadl_epi64((const __m128i*)&in[20]);
const __m128i inB2 = _mm_loadl_epi64((const __m128i*)&in[24]);
const __m128i inB3 = _mm_loadl_epi64((const __m128i*)&in[28]);
in0 = _mm_unpacklo_epi64(in0, inB0);
in1 = _mm_unpacklo_epi64(in1, inB1);
in2 = _mm_unpacklo_epi64(in2, inB2);
in3 = _mm_unpacklo_epi64(in3, inB3);
// a00 a10 a20 a30 b00 b10 b20 b30
// a01 a11 a21 a31 b01 b11 b21 b31
// a02 a12 a22 a32 b02 b12 b22 b32
// a03 a13 a23 a33 b03 b13 b23 b33
}
const __m128i tmp0 = _mm_loadu_si128((const __m128i*)&in[0]);
const __m128i tmp1 = _mm_loadu_si128((const __m128i*)&in[8]);
const __m128i tmp2 = _mm_loadu_si128((const __m128i*)&in[16]);
const __m128i tmp3 = _mm_loadu_si128((const __m128i*)&in[24]);
in0 = _mm_unpacklo_epi64(tmp0, tmp2);
in1 = _mm_unpackhi_epi64(tmp0, tmp2);
in2 = _mm_unpacklo_epi64(tmp1, tmp3);
in3 = _mm_unpackhi_epi64(tmp1, tmp3);
// a00 a10 a20 a30 b00 b10 b20 b30
// a01 a11 a21 a31 b01 b11 b21 b31
// a02 a12 a22 a32 b02 b12 b22 b32
// a03 a13 a23 a33 b03 b13 b23 b33
}
// Vertical pass and subsequent transpose.
@ -148,19 +287,11 @@ static void ITransform_SSE2(const uint8_t* ref, const int16_t* in, uint8_t* dst,
const __m128i zero = _mm_setzero_si128();
// Load the reference(s).
__m128i ref0, ref1, ref2, ref3;
if (do_two) {
// Load eight bytes/pixels per line.
ref0 = _mm_loadl_epi64((const __m128i*)&ref[0 * BPS]);
ref1 = _mm_loadl_epi64((const __m128i*)&ref[1 * BPS]);
ref2 = _mm_loadl_epi64((const __m128i*)&ref[2 * BPS]);
ref3 = _mm_loadl_epi64((const __m128i*)&ref[3 * BPS]);
} else {
// Load four bytes/pixels per line.
ref0 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[0 * BPS]));
ref1 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[1 * BPS]));
ref2 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[2 * BPS]));
ref3 = _mm_cvtsi32_si128(WebPMemToInt32(&ref[3 * BPS]));
}
// Load eight bytes/pixels per line.
ref0 = _mm_loadl_epi64((const __m128i*)&ref[0 * BPS]);
ref1 = _mm_loadl_epi64((const __m128i*)&ref[1 * BPS]);
ref2 = _mm_loadl_epi64((const __m128i*)&ref[2 * BPS]);
ref3 = _mm_loadl_epi64((const __m128i*)&ref[3 * BPS]);
// Convert to 16b.
ref0 = _mm_unpacklo_epi8(ref0, zero);
ref1 = _mm_unpacklo_epi8(ref1, zero);
@ -176,20 +307,21 @@ static void ITransform_SSE2(const uint8_t* ref, const int16_t* in, uint8_t* dst,
ref1 = _mm_packus_epi16(ref1, ref1);
ref2 = _mm_packus_epi16(ref2, ref2);
ref3 = _mm_packus_epi16(ref3, ref3);
// Store the results.
if (do_two) {
// Store eight bytes/pixels per line.
_mm_storel_epi64((__m128i*)&dst[0 * BPS], ref0);
_mm_storel_epi64((__m128i*)&dst[1 * BPS], ref1);
_mm_storel_epi64((__m128i*)&dst[2 * BPS], ref2);
_mm_storel_epi64((__m128i*)&dst[3 * BPS], ref3);
} else {
// Store four bytes/pixels per line.
WebPInt32ToMem(&dst[0 * BPS], _mm_cvtsi128_si32(ref0));
WebPInt32ToMem(&dst[1 * BPS], _mm_cvtsi128_si32(ref1));
WebPInt32ToMem(&dst[2 * BPS], _mm_cvtsi128_si32(ref2));
WebPInt32ToMem(&dst[3 * BPS], _mm_cvtsi128_si32(ref3));
}
// Store eight bytes/pixels per line.
_mm_storel_epi64((__m128i*)&dst[0 * BPS], ref0);
_mm_storel_epi64((__m128i*)&dst[1 * BPS], ref1);
_mm_storel_epi64((__m128i*)&dst[2 * BPS], ref2);
_mm_storel_epi64((__m128i*)&dst[3 * BPS], ref3);
}
}
// Does one or two inverse transforms.
static void ITransform_SSE2(const uint8_t* ref, const int16_t* in, uint8_t* dst,
int do_two) {
if (do_two) {
ITransform_Two_SSE2(ref, in, dst);
} else {
ITransform_One_SSE2(ref, in, dst);
}
}