/* * Copyright 2021 Google LLC * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include #include #include #include #include "experimental/lowp-basic/QMath.h" struct Stats { int diff_8_bits = 0; int max_diff = 0; int min_diff = 0; int64_t total = 0; void log(int16_t golden, int16_t candidate) { int diff = candidate - golden; max_diff = std::max(max_diff, diff); min_diff = std::min(min_diff, diff); diff_8_bits += candidate != golden; total++; } void print() const { printf("8-bit diff: %d - %g%%\n", diff_8_bits, 100.0 * diff_8_bits / total); printf("differences min: %d max: %d\n", min_diff, max_diff); printf("total: %lld\n", total); } }; static float golden_lerp(float t, int16_t a, int16_t b) { return (1.0f - t) * a + t * b; } template static int16_t saturating_lerp(float t, int16_t a, int16_t b) { const int16_t half = 1 << (logPixelScale - 1); Q15 qt(floor(t * 32768.f + 0.5f)); Q15 qa(a << logPixelScale); Q15 qb(b << logPixelScale); Q15 answer = simulate_neon_vqrdmulhq_s16(qt, qb - qa) + qa; return (answer[0] + half) >> logPixelScale; } template static int16_t ssse3_lerp(float t, int16_t a, int16_t b) { const int16_t half = 1 << (logPixelScale - 1); Q15 qt(floor(t * 32768.f + 0.5f)); Q15 qa(a << logPixelScale); Q15 qb(b << logPixelScale); Q15 answer = simulate_ssse3_mm_mulhrs_epi16(qt, qb - qa) + qa; return (answer[0] + half) >> logPixelScale; } static int16_t full_res_lerp(float t, int16_t a, int16_t b) { int32_t ft(floor(t * 65536.0f + 0.5f)); int32_t temp = ft * (b - a) + a * 65536; int32_t rounded = temp + 32768; return rounded >> 16; } // Change of parameters on t from [0, 1) to [-1, 1). This cuts the number if differences in half. template static int16_t balanced_lerp(float t, int16_t a, int16_t b) { const int16_t half = 1 << logPixelScale; // t on [-1, 1). Q15 qt (floor(t * 65536.0f - 32768.0f + 0.5f)); // need to pick logPixelScale to scale by addition 1/2. Q15 qw ((b - a) << logPixelScale); Q15 qm ((a + b) << logPixelScale); Q15 answer = simulate_ssse3_mm_mulhrs_epi16(qt, qw) + qm; // Extra shift to divide by 2. return (answer[0] + half) >> (logPixelScale + 1); } template static Stats check_lerp(Lerp lerp) { Stats stats; for (float t = 0; t < 1.0f - 1.0f / 65536.0f ; t += 1.0f/65536.0f) for (int a = 255; a >= 0; a--) for (int b = 255; b >= 0; b--) { float l = golden_lerp(t, a, b); int16_t golden = floor(l + 0.5f); int16_t candidate = lerp(t, a, b); stats.log(golden, candidate); } return stats; } int main() { Stats stats; printf("\nUsing full_res_lerp...\n"); stats = check_lerp(full_res_lerp); stats.print(); printf("\nUsing vqrdmulhq_s16...\n"); stats = check_lerp(saturating_lerp<7>); stats.print(); printf("\nUsing mm_mulhrs_epi16...\n"); stats = check_lerp(ssse3_lerp<7>); stats.print(); printf("\nInterval [-1, 1) mm_mulhrs_epi16...\n"); stats = check_lerp(balanced_lerp<7>); stats.print(); printf("Done."); return 0; }