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more experiments for avx512
This commit is contained in:
minjaesong
@@ -188,185 +188,305 @@ static inline void dwt_53_forward_1d_avx512(float *data, int length) {
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static inline void dwt_97_forward_1d_avx512(float *data, int length) {
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if (length < 2) return;
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float *temp = (float*)malloc(length * sizeof(float));
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int half = (length + 1) / 2;
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// Split into even/odd - vectorized gather
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int i;
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for (i = 0; i + 16 <= half; i += 16) {
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float even_vals[16], odd_vals[16];
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for (int j = 0; j < 16; j++) {
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even_vals[j] = data[2 * (i + j)];
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if (2 * (i + j) + 1 < length) {
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odd_vals[j] = data[2 * (i + j) + 1];
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} else {
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odd_vals[j] = 0.0f;
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}
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// Allocate aligned temp buffer once (64-byte align for cache lines)
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float *temp = NULL;
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#if defined(_POSIX_C_SOURCE) || defined(_XOPEN_SOURCE)
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if (posix_memalign((void**)&temp, 64, (size_t)length * sizeof(float)) != 0) {
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temp = (float*)malloc((size_t)length * sizeof(float));
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}
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#else
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temp = (float*)aligned_alloc(64, ((size_t)length * sizeof(float) + 63) & ~63);
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if (!temp) temp = (float*)malloc((size_t)length * sizeof(float));
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#endif
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if (!temp) return; // allocation failure: bail out (preserve original behavior could be different)
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// FAST SPLIT: interleave into temp: first half = evens, second half = odds
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// This is simple, streaming-friendly, and much faster than per-iteration small-array gathers.
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{
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float *even = temp;
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float *odd = temp + half;
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int i = 0;
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// process pairs to minimize branches and memory ops
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for (; i + 1 < length; i += 2) {
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even[0] = data[i];
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odd[0] = data[i + 1];
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++even; ++odd;
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}
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_mm512_storeu_ps(&temp[i], _mm512_loadu_ps(even_vals));
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if (i < length / 2) {
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__mmask16 mask = ((i + 16) <= length / 2) ? 0xFFFF : (1 << (length / 2 - i)) - 1;
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_mm512_mask_storeu_ps(&temp[half + i], mask, _mm512_loadu_ps(odd_vals));
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if (i < length) { // odd leftover
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even[0] = data[i];
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}
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}
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// Remaining scalar
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for (; i < half; i++) {
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temp[i] = data[2 * i];
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}
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for (i = 0; i < length / 2; i++) {
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temp[half + i] = data[2 * i + 1];
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}
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// Lifting coefficients
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// Lifting coefficients as vectors
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const __m512 alpha_vec = _mm512_set1_ps(-1.586134342f);
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const __m512 beta_vec = _mm512_set1_ps(-0.052980118f);
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const __m512 beta_vec = _mm512_set1_ps(-0.052980118f);
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const __m512 gamma_vec = _mm512_set1_ps(0.882911076f);
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const __m512 delta_vec = _mm512_set1_ps(0.443506852f);
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const __m512 K_vec = _mm512_set1_ps(1.230174105f);
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const __m512 invK_vec = _mm512_set1_ps(1.0f / 1.230174105f);
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const __m512 K_vec = _mm512_set1_ps(1.230174105f);
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const __m512 invK_vec = _mm512_set1_ps(1.0f / 1.230174105f);
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// Step 1: Predict α - d[i] += α * (s[i] + s[i+1])
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for (i = 0; i + 16 <= length / 2; i += 16) {
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__mmask16 mask = ((half + i + 16) <= length) ? 0xFFFF : (1 << (length - half - i)) - 1;
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// Helper variables
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int i;
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float s_curr_vals[16], s_next_vals[16], d_vals[16];
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for (int j = 0; j < 16; j++) {
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s_curr_vals[j] = temp[i + j];
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s_next_vals[j] = ((i + j + 1) < half) ? temp[i + j + 1] : temp[i + j];
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if ((half + i + j) < length) {
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d_vals[j] = temp[half + i + j];
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// -----------------------
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// Step 1: Predict α
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// d[i] += alpha * (s[i] + s[i+1])
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// -----------------------
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if (half > 0) {
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// handle small or trivial cases
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if (half == 1) {
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if (half < length) {
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temp[half + 0] += -1.586134342f * (temp[0] + temp[0]);
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}
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} else {
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// main vectorized body: ensure s_next loads (i+1) valid -> i <= half-2
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int limit = (half - 1);
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int n_full = (limit / 16) * 16; // process up to n_full (multiple of 16)
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i = 0;
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for (; i + 32 <= n_full; i += 32) {
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// unroll 2x (i and i+16)
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__m512 s0 = _mm512_loadu_ps(&temp[i]);
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__m512 s0n = _mm512_loadu_ps(&temp[i + 1]);
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__m512 d0 = _mm512_loadu_ps(&temp[half + i]);
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__m512 sum0 = _mm512_add_ps(s0, s0n);
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d0 = _mm512_fmadd_ps(alpha_vec, sum0, d0);
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_mm512_storeu_ps(&temp[half + i], d0);
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__m512 s1 = _mm512_loadu_ps(&temp[i + 16]);
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__m512 s1n = _mm512_loadu_ps(&temp[i + 17]);
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__m512 d1 = _mm512_loadu_ps(&temp[half + i + 16]);
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__m512 sum1 = _mm512_add_ps(s1, s1n);
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d1 = _mm512_fmadd_ps(alpha_vec, sum1, d1);
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_mm512_storeu_ps(&temp[half + i + 16], d1);
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}
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for (; i + 16 <= n_full; i += 16) {
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__m512 s = _mm512_loadu_ps(&temp[i]);
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__m512 sn = _mm512_loadu_ps(&temp[i + 1]);
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__m512 d = _mm512_loadu_ps(&temp[half + i]);
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__m512 sum = _mm512_add_ps(s, sn);
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d = _mm512_fmadd_ps(alpha_vec, sum, d);
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_mm512_storeu_ps(&temp[half + i], d);
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}
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// scalar remainder up to limit (half-2 -> last vector handled below)
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for (; i < limit; ++i) {
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temp[half + i] += -1.586134342f * (temp[i] + temp[i + 1]);
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}
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// handle last index i = half-1 (mirror)
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int last = half - 1;
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if (half + last < length) {
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float s_curr = temp[last];
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float s_next = s_curr;
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temp[half + last] += -1.586134342f * (s_curr + s_next);
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}
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}
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}
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// -----------------------
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// Step 2: Update β
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// s[i] += beta * (d[i-1] + d[i])
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// -----------------------
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if (half > 0) {
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// handle i == 0 separately (d_prev = d_curr for boundary semantics)
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if (half >= 1) {
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// i == 0
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if (half + 0 < length) {
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float d_curr0 = temp[half + 0];
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temp[0] += -0.052980118f * (d_curr0 + d_curr0);
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}
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}
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__m512 s_curr = _mm512_loadu_ps(s_curr_vals);
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__m512 s_next = _mm512_loadu_ps(s_next_vals);
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__m512 d = _mm512_maskz_loadu_ps(mask, d_vals);
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if (half > 1) {
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// main vector loop starting from i = 1 to half-1 (we will write s[i] for i>=1)
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int start = 1;
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int limit = half; // exclusive
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int n_elems = limit - start;
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int n_full = (n_elems / 16) * 16;
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i = start;
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for (; i + 32 <= start + n_full; i += 32) {
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// unroll 2x
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__m512 s0 = _mm512_loadu_ps(&temp[i]);
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__m512 dcurr0 = _mm512_loadu_ps(&temp[half + i]);
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__m512 dprev0 = _mm512_loadu_ps(&temp[half + i - 1]);
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__m512 sum0 = _mm512_add_ps(dprev0, dcurr0);
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s0 = _mm512_fmadd_ps(beta_vec, sum0, s0);
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_mm512_storeu_ps(&temp[i], s0);
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__m512 sum = _mm512_add_ps(s_curr, s_next);
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d = _mm512_fmadd_ps(alpha_vec, sum, d); // d += alpha * sum
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_mm512_mask_storeu_ps(&temp[half + i], mask, d);
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}
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// Remaining scalar for step 1
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for (; i < length / 2; i++) {
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if (half + i < length) {
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float s_curr = temp[i];
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float s_next = (i + 1 < half) ? temp[i + 1] : s_curr;
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temp[half + i] += -1.586134342f * (s_curr + s_next);
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__m512 s1 = _mm512_loadu_ps(&temp[i + 16]);
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__m512 dcurr1 = _mm512_loadu_ps(&temp[half + i + 16]);
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__m512 dprev1 = _mm512_loadu_ps(&temp[half + i + 15]);
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__m512 sum1 = _mm512_add_ps(dprev1, dcurr1);
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s1 = _mm512_fmadd_ps(beta_vec, sum1, s1);
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_mm512_storeu_ps(&temp[i + 16], s1);
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}
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for (; i + 16 <= start + n_full; i += 16) {
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__m512 s = _mm512_loadu_ps(&temp[i]);
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__m512 dcurr = _mm512_loadu_ps(&temp[half + i]);
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__m512 dprev = _mm512_loadu_ps(&temp[half + i - 1]);
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__m512 sum = _mm512_add_ps(dprev, dcurr);
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s = _mm512_fmadd_ps(beta_vec, sum, s);
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_mm512_storeu_ps(&temp[i], s);
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}
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// scalar remainder
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for (; i < limit; ++i) {
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float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
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float d_prev = (half + i - 1 < length && i > 0) ? temp[half + i - 1] : d_curr;
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temp[i] += -0.052980118f * (d_prev + d_curr);
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}
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}
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}
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// Step 2: Update β - s[i] += β * (d[i-1] + d[i])
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for (i = 0; i + 16 <= half; i += 16) {
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__mmask16 mask = (i + 16 <= half) ? 0xFFFF : (1 << (half - i)) - 1;
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float s_vals[16], d_curr_vals[16], d_prev_vals[16];
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for (int j = 0; j < 16; j++) {
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s_vals[j] = temp[i + j];
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d_curr_vals[j] = ((half + i + j) < length) ? temp[half + i + j] : 0.0f;
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d_prev_vals[j] = ((i + j) > 0 && (half + i + j - 1) < length) ? temp[half + i + j - 1] : d_curr_vals[j];
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}
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__m512 s = _mm512_loadu_ps(s_vals);
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__m512 d_curr = _mm512_loadu_ps(d_curr_vals);
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__m512 d_prev = _mm512_loadu_ps(d_prev_vals);
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s = _mm512_fmadd_ps(beta_vec, _mm512_add_ps(d_prev, d_curr), s);
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_mm512_mask_storeu_ps(&temp[i], mask, s);
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}
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// Scalar remainder for step 2
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for (; i < half; i++) {
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float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
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float d_prev = (i > 0 && half + i - 1 < length) ? temp[half + i - 1] : d_curr;
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temp[i] += -0.052980118f * (d_prev + d_curr);
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}
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// -----------------------
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// Step 3: Predict γ
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for (i = 0; i + 16 <= length / 2; i += 16) {
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__mmask16 mask = ((half + i + 16) <= length) ? 0xFFFF : (1 << (length - half - i)) - 1;
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// d[i] += gamma * (s[i] + s[i+1])
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// -----------------------
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if (half > 0) {
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if (half == 1) {
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if (half < length) {
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temp[half + 0] += 0.882911076f * (temp[0] + temp[0]);
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}
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} else {
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int limit = (half - 1);
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int n_full = (limit / 16) * 16;
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i = 0;
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for (; i + 32 <= n_full; i += 32) {
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__m512 s0 = _mm512_loadu_ps(&temp[i]);
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__m512 s0n = _mm512_loadu_ps(&temp[i + 1]);
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__m512 d0 = _mm512_loadu_ps(&temp[half + i]);
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__m512 sum0 = _mm512_add_ps(s0, s0n);
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d0 = _mm512_fmadd_ps(gamma_vec, sum0, d0);
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_mm512_storeu_ps(&temp[half + i], d0);
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float s_curr_vals[16], s_next_vals[16], d_vals[16];
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for (int j = 0; j < 16; j++) {
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s_curr_vals[j] = temp[i + j];
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s_next_vals[j] = ((i + j + 1) < half) ? temp[i + j + 1] : temp[i + j];
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if ((half + i + j) < length) {
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d_vals[j] = temp[half + i + j];
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__m512 s1 = _mm512_loadu_ps(&temp[i + 16]);
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__m512 s1n = _mm512_loadu_ps(&temp[i + 17]);
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__m512 d1 = _mm512_loadu_ps(&temp[half + i + 16]);
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__m512 sum1 = _mm512_add_ps(s1, s1n);
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d1 = _mm512_fmadd_ps(gamma_vec, sum1, d1);
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_mm512_storeu_ps(&temp[half + i + 16], d1);
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}
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for (; i + 16 <= n_full; i += 16) {
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__m512 s = _mm512_loadu_ps(&temp[i]);
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__m512 sn = _mm512_loadu_ps(&temp[i + 1]);
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__m512 d = _mm512_loadu_ps(&temp[half + i]);
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__m512 sum = _mm512_add_ps(s, sn);
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d = _mm512_fmadd_ps(gamma_vec, sum, d);
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_mm512_storeu_ps(&temp[half + i], d);
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}
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for (; i < limit; ++i) {
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temp[half + i] += 0.882911076f * (temp[i] + temp[i + 1]);
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}
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// last index mirror
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int last = half - 1;
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if (half + last < length) {
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float s_curr = temp[last];
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float s_next = s_curr;
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temp[half + last] += 0.882911076f * (s_curr + s_next);
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}
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}
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}
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// -----------------------
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// Step 4: Update δ
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// s[i] += delta * (d[i-1] + d[i])
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// -----------------------
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if (half > 0) {
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// i == 0
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if (half >= 1) {
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if (half + 0 < length) {
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float d_curr0 = temp[half + 0];
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temp[0] += 0.443506852f * (d_curr0 + d_curr0);
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}
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}
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__m512 s_curr = _mm512_loadu_ps(s_curr_vals);
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__m512 s_next = _mm512_loadu_ps(s_next_vals);
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__m512 d = _mm512_maskz_loadu_ps(mask, d_vals);
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if (half > 1) {
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int start = 1;
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int limit = half; // exclusive
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int n_elems = limit - start;
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int n_full = (n_elems / 16) * 16;
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i = start;
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for (; i + 32 <= start + n_full; i += 32) {
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__m512 s0 = _mm512_loadu_ps(&temp[i]);
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__m512 dcurr0 = _mm512_loadu_ps(&temp[half + i]);
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__m512 dprev0 = _mm512_loadu_ps(&temp[half + i - 1]);
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__m512 sum0 = _mm512_add_ps(dprev0, dcurr0);
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s0 = _mm512_fmadd_ps(delta_vec, sum0, s0);
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_mm512_storeu_ps(&temp[i], s0);
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d = _mm512_fmadd_ps(gamma_vec, _mm512_add_ps(s_curr, s_next), d);
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_mm512_mask_storeu_ps(&temp[half + i], mask, d);
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}
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// Scalar remainder for step 3
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for (; i < length / 2; i++) {
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if (half + i < length) {
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float s_curr = temp[i];
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float s_next = (i + 1 < half) ? temp[i + 1] : s_curr;
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temp[half + i] += 0.882911076f * (s_curr + s_next);
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__m512 s1 = _mm512_loadu_ps(&temp[i + 16]);
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__m512 dcurr1 = _mm512_loadu_ps(&temp[half + i + 16]);
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__m512 dprev1 = _mm512_loadu_ps(&temp[half + i + 15]);
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__m512 sum1 = _mm512_add_ps(dprev1, dcurr1);
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s1 = _mm512_fmadd_ps(delta_vec, sum1, s1);
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_mm512_storeu_ps(&temp[i + 16], s1);
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}
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for (; i + 16 <= start + n_full; i += 16) {
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__m512 s = _mm512_loadu_ps(&temp[i]);
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__m512 dcurr = _mm512_loadu_ps(&temp[half + i]);
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__m512 dprev = _mm512_loadu_ps(&temp[half + i - 1]);
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__m512 sum = _mm512_add_ps(dprev, dcurr);
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s = _mm512_fmadd_ps(delta_vec, sum, s);
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_mm512_storeu_ps(&temp[i], s);
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}
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for (; i < limit; ++i) {
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float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
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float d_prev = (half + i - 1 < length && i > 0) ? temp[half + i - 1] : d_curr;
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temp[i] += 0.443506852f * (d_prev + d_curr);
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}
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}
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}
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// Step 4: Update δ
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for (i = 0; i + 16 <= half; i += 16) {
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__mmask16 mask = (i + 16 <= half) ? 0xFFFF : (1 << (half - i)) - 1;
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// -----------------------
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// Step 5: Scaling
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// s *= K, d *= invK
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// -----------------------
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// s (first half)
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{
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int n_full = (half / 16) * 16;
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i = 0;
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for (; i + 32 <= n_full; i += 32) {
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__m512 s0 = _mm512_loadu_ps(&temp[i]);
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s0 = _mm512_mul_ps(s0, K_vec);
|
||||
_mm512_storeu_ps(&temp[i], s0);
|
||||
|
||||
float s_vals[16], d_curr_vals[16], d_prev_vals[16];
|
||||
for (int j = 0; j < 16; j++) {
|
||||
s_vals[j] = temp[i + j];
|
||||
d_curr_vals[j] = ((half + i + j) < length) ? temp[half + i + j] : 0.0f;
|
||||
d_prev_vals[j] = ((i + j) > 0 && (half + i + j - 1) < length) ? temp[half + i + j - 1] : d_curr_vals[j];
|
||||
__m512 s1 = _mm512_loadu_ps(&temp[i + 16]);
|
||||
s1 = _mm512_mul_ps(s1, K_vec);
|
||||
_mm512_storeu_ps(&temp[i + 16], s1);
|
||||
}
|
||||
|
||||
__m512 s = _mm512_loadu_ps(s_vals);
|
||||
__m512 d_curr = _mm512_loadu_ps(d_curr_vals);
|
||||
__m512 d_prev = _mm512_loadu_ps(d_prev_vals);
|
||||
|
||||
s = _mm512_fmadd_ps(delta_vec, _mm512_add_ps(d_prev, d_curr), s);
|
||||
|
||||
_mm512_mask_storeu_ps(&temp[i], mask, s);
|
||||
for (; i + 16 <= n_full; i += 16) {
|
||||
__m512 s = _mm512_loadu_ps(&temp[i]);
|
||||
s = _mm512_mul_ps(s, K_vec);
|
||||
_mm512_storeu_ps(&temp[i], s);
|
||||
}
|
||||
for (; i < half; ++i) temp[i] *= 1.230174105f;
|
||||
}
|
||||
|
||||
// Scalar remainder for step 4
|
||||
for (; i < half; i++) {
|
||||
float d_curr = (half + i < length) ? temp[half + i] : 0.0f;
|
||||
float d_prev = (i > 0 && half + i - 1 < length) ? temp[half + i - 1] : d_curr;
|
||||
temp[i] += 0.443506852f * (d_prev + d_curr);
|
||||
}
|
||||
// d (second half)
|
||||
{
|
||||
int dlen = length - half;
|
||||
int n_full = (dlen / 16) * 16;
|
||||
i = 0;
|
||||
for (; i + 32 <= n_full; i += 32) {
|
||||
__m512 d0 = _mm512_loadu_ps(&temp[half + i]);
|
||||
d0 = _mm512_mul_ps(d0, invK_vec);
|
||||
_mm512_storeu_ps(&temp[half + i], d0);
|
||||
|
||||
// Step 5: Scaling - vectorized
|
||||
for (i = 0; i + 16 <= half; i += 16) {
|
||||
__mmask16 mask = (i + 16 <= half) ? 0xFFFF : (1 << (half - i)) - 1;
|
||||
__m512 s = _mm512_maskz_loadu_ps(mask, &temp[i]);
|
||||
s = _mm512_mul_ps(s, K_vec);
|
||||
_mm512_mask_storeu_ps(&temp[i], mask, s);
|
||||
}
|
||||
for (; i < half; i++) {
|
||||
temp[i] *= 1.230174105f;
|
||||
}
|
||||
|
||||
for (i = 0; i + 16 <= length / 2; i += 16) {
|
||||
__mmask16 mask = ((half + i + 16) <= length) ? 0xFFFF : (1 << (length - half - i)) - 1;
|
||||
__m512 d = _mm512_maskz_loadu_ps(mask, &temp[half + i]);
|
||||
d = _mm512_mul_ps(d, invK_vec);
|
||||
_mm512_mask_storeu_ps(&temp[half + i], mask, d);
|
||||
}
|
||||
for (; i < length / 2; i++) {
|
||||
if (half + i < length) {
|
||||
temp[half + i] /= 1.230174105f;
|
||||
__m512 d1 = _mm512_loadu_ps(&temp[half + i + 16]);
|
||||
d1 = _mm512_mul_ps(d1, invK_vec);
|
||||
_mm512_storeu_ps(&temp[half + i + 16], d1);
|
||||
}
|
||||
for (; i + 16 <= n_full; i += 16) {
|
||||
__m512 d = _mm512_loadu_ps(&temp[half + i]);
|
||||
d = _mm512_mul_ps(d, invK_vec);
|
||||
_mm512_storeu_ps(&temp[half + i], d);
|
||||
}
|
||||
for (; i < dlen; ++i) {
|
||||
if (half + i < length) temp[half + i] /= 1.230174105f;
|
||||
}
|
||||
}
|
||||
|
||||
memcpy(data, temp, length * sizeof(float));
|
||||
// Copy back and free
|
||||
memcpy(data, temp, (size_t)length * sizeof(float));
|
||||
free(temp);
|
||||
}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user