1 /* 2 * Copyright (C) 2011 Google Inc. All rights reserved. 3 * 4 * Redistribution and use in source and binary forms, with or without 5 * modification, are permitted provided that the following conditions 6 * are met: 7 * 8 * 1. Redistributions of source code must retain the above copyright 9 * notice, this list of conditions and the following disclaimer. 10 * 2. Redistributions in binary form must reproduce the above copyright 11 * notice, this list of conditions and the following disclaimer in the 12 * documentation and/or other materials provided with the distribution. 13 * 3. Neither the name of Apple Computer, Inc. ("Apple") nor the names of 14 * its contributors may be used to endorse or promote products derived 15 * from this software without specific prior written permission. 16 * 17 * THIS SOFTWARE IS PROVIDED BY APPLE AND ITS CONTRIBUTORS "AS IS" AND ANY 18 * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 19 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE 20 * DISCLAIMED. IN NO EVENT SHALL APPLE OR ITS CONTRIBUTORS BE LIABLE FOR ANY 21 * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 22 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 23 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND 24 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 */ 28 29 #include "config.h" 30 31 #if ENABLE(WEB_AUDIO) 32 33 #include "SincResampler.h" 34 35 #include <wtf/MathExtras.h> 36 37 using namespace std; 38 39 // Input buffer layout, dividing the total buffer into regions (r0 - r5): 40 // 41 // |----------------|----------------------------------------------------------------|----------------| 42 // 43 // blockSize + kernelSize / 2 44 // <--------------------------------------------------------------------------------> 45 // r0 46 // 47 // kernelSize / 2 kernelSize / 2 kernelSize / 2 kernelSize / 2 48 // <---------------> <---------------> <---------------> <---------------> 49 // r1 r2 r3 r4 50 // 51 // blockSize 52 // <--------------------------------------------------------------> 53 // r5 54 55 // The Algorithm: 56 // 57 // 1) Consume input frames into r0 (r1 is zero-initialized). 58 // 2) Position kernel centered at start of r0 (r2) and generate output frames until kernel is centered at start of r4. 59 // or we've finished generating all the output frames. 60 // 3) Copy r3 to r1 and r4 to r2. 61 // 4) Consume input frames into r5 (zero-pad if we run out of input). 62 // 5) Goto (2) until all of input is consumed. 63 // 64 // note: we're glossing over how the sub-sample handling works with m_virtualSourceIndex, etc. 65 66 namespace WebCore { 67 68 SincResampler::SincResampler(double scaleFactor, unsigned kernelSize, unsigned numberOfKernelOffsets) 69 : m_scaleFactor(scaleFactor) 70 , m_kernelSize(kernelSize) 71 , m_numberOfKernelOffsets(numberOfKernelOffsets) 72 , m_kernelStorage(m_kernelSize * (m_numberOfKernelOffsets + 1)) 73 , m_virtualSourceIndex(0.0) 74 , m_blockSize(512) 75 , m_inputBuffer(m_blockSize + m_kernelSize) // See input buffer layout above. 76 , m_source(0) 77 , m_sourceFramesAvailable(0) 78 { 79 initializeKernel(); 80 } 81 82 void SincResampler::initializeKernel() 83 { 84 // Blackman window parameters. 85 double alpha = 0.16; 86 double a0 = 0.5 * (1.0 - alpha); 87 double a1 = 0.5; 88 double a2 = 0.5 * alpha; 89 90 // sincScaleFactor is basically the normalized cutoff frequency of the low-pass filter. 91 double sincScaleFactor = m_scaleFactor > 1.0 ? 1.0 / m_scaleFactor : 1.0; 92 93 // The sinc function is an idealized brick-wall filter, but since we're windowing it the 94 // transition from pass to stop does not happen right away. So we should adjust the 95 // lowpass filter cutoff slightly downward to avoid some aliasing at the very high-end. 96 // FIXME: this value is empirical and to be more exact should vary depending on m_kernelSize. 97 sincScaleFactor *= 0.9; 98 99 int n = m_kernelSize; 100 int halfSize = n / 2; 101 102 // Generates a set of windowed sinc() kernels. 103 // We generate a range of sub-sample offsets from 0.0 to 1.0. 104 for (unsigned offsetIndex = 0; offsetIndex <= m_numberOfKernelOffsets; ++offsetIndex) { 105 double subsampleOffset = static_cast<double>(offsetIndex) / m_numberOfKernelOffsets; 106 107 for (int i = 0; i < n; ++i) { 108 // Compute the sinc() with offset. 109 double s = sincScaleFactor * piDouble * (i - halfSize - subsampleOffset); 110 double sinc = !s ? 1.0 : sin(s) / s; 111 sinc *= sincScaleFactor; 112 113 // Compute Blackman window, matching the offset of the sinc(). 114 double x = (i - subsampleOffset) / n; 115 double window = a0 - a1 * cos(2.0 * piDouble * x) + a2 * cos(4.0 * piDouble * x); 116 117 // Window the sinc() function and store at the correct offset. 118 m_kernelStorage[i + offsetIndex * m_kernelSize] = sinc * window; 119 } 120 } 121 } 122 123 void SincResampler::consumeSource(float* buffer, unsigned numberOfSourceFrames) 124 { 125 ASSERT(m_source); 126 if (!m_source) 127 return; 128 129 // Clamp to number of frames available and zero-pad. 130 unsigned framesToCopy = min(m_sourceFramesAvailable, numberOfSourceFrames); 131 memcpy(buffer, m_source, sizeof(float) * framesToCopy); 132 133 // Zero-pad if necessary. 134 if (framesToCopy < numberOfSourceFrames) 135 memset(buffer + framesToCopy, 0, sizeof(float) * (numberOfSourceFrames - framesToCopy)); 136 137 m_sourceFramesAvailable -= framesToCopy; 138 m_source += numberOfSourceFrames; 139 } 140 141 void SincResampler::process(float* source, float* destination, unsigned numberOfSourceFrames) 142 { 143 ASSERT(m_blockSize > m_kernelSize); 144 ASSERT(m_inputBuffer.size() >= m_blockSize + m_kernelSize); 145 ASSERT(!(m_kernelSize % 2)); 146 147 // Setup various region pointers in the buffer (see diagram above). 148 float* r0 = m_inputBuffer.data() + m_kernelSize / 2; 149 float* r1 = m_inputBuffer.data(); 150 float* r2 = r0; 151 float* r3 = r0 + m_blockSize - m_kernelSize / 2; 152 float* r4 = r0 + m_blockSize; 153 float* r5 = r0 + m_kernelSize / 2; 154 155 m_source = source; 156 m_sourceFramesAvailable = numberOfSourceFrames; 157 158 unsigned numberOfDestinationFrames = static_cast<unsigned>(numberOfSourceFrames / m_scaleFactor); 159 160 // Step (1) 161 // Prime the input buffer. 162 consumeSource(r0, m_blockSize + m_kernelSize / 2); 163 164 // Step (2) 165 m_virtualSourceIndex = 0; 166 167 while (numberOfDestinationFrames) { 168 while (m_virtualSourceIndex < m_blockSize) { 169 // m_virtualSourceIndex lies in between two kernel offsets so figure out what they are. 170 int sourceIndexI = static_cast<int>(m_virtualSourceIndex); 171 double subsampleRemainder = m_virtualSourceIndex - sourceIndexI; 172 173 double virtualOffsetIndex = subsampleRemainder * m_numberOfKernelOffsets; 174 int offsetIndex = static_cast<int>(virtualOffsetIndex); 175 176 float* k1 = m_kernelStorage.data() + offsetIndex * m_kernelSize; 177 float* k2 = k1 + m_kernelSize; 178 179 // Initialize input pointer based on quantized m_virtualSourceIndex. 180 float* inputP = r1 + sourceIndexI; 181 182 // We'll compute "convolutions" for the two kernels which straddle m_virtualSourceIndex 183 float sum1 = 0; 184 float sum2 = 0; 185 186 // Figure out how much to weight each kernel's "convolution". 187 double kernelInterpolationFactor = virtualOffsetIndex - offsetIndex; 188 189 // Generate a single output sample. 190 int n = m_kernelSize; 191 192 // FIXME: add SIMD optimizations for the following. The scalar code-path can probably also be optimized better. 193 194 #define CONVOLVE_ONE_SAMPLE \ 195 input = *inputP++; \ 196 sum1 += input * *k1; \ 197 sum2 += input * *k2; \ 198 ++k1; \ 199 ++k2; 200 201 { 202 float input; 203 204 // Optimize size 32 and size 64 kernels by unrolling the while loop. 205 // A 20 - 30% speed improvement was measured in some cases by using this approach. 206 207 if (n == 32) { 208 CONVOLVE_ONE_SAMPLE // 1 209 CONVOLVE_ONE_SAMPLE // 2 210 CONVOLVE_ONE_SAMPLE // 3 211 CONVOLVE_ONE_SAMPLE // 4 212 CONVOLVE_ONE_SAMPLE // 5 213 CONVOLVE_ONE_SAMPLE // 6 214 CONVOLVE_ONE_SAMPLE // 7 215 CONVOLVE_ONE_SAMPLE // 8 216 CONVOLVE_ONE_SAMPLE // 9 217 CONVOLVE_ONE_SAMPLE // 10 218 CONVOLVE_ONE_SAMPLE // 11 219 CONVOLVE_ONE_SAMPLE // 12 220 CONVOLVE_ONE_SAMPLE // 13 221 CONVOLVE_ONE_SAMPLE // 14 222 CONVOLVE_ONE_SAMPLE // 15 223 CONVOLVE_ONE_SAMPLE // 16 224 CONVOLVE_ONE_SAMPLE // 17 225 CONVOLVE_ONE_SAMPLE // 18 226 CONVOLVE_ONE_SAMPLE // 19 227 CONVOLVE_ONE_SAMPLE // 20 228 CONVOLVE_ONE_SAMPLE // 21 229 CONVOLVE_ONE_SAMPLE // 22 230 CONVOLVE_ONE_SAMPLE // 23 231 CONVOLVE_ONE_SAMPLE // 24 232 CONVOLVE_ONE_SAMPLE // 25 233 CONVOLVE_ONE_SAMPLE // 26 234 CONVOLVE_ONE_SAMPLE // 27 235 CONVOLVE_ONE_SAMPLE // 28 236 CONVOLVE_ONE_SAMPLE // 29 237 CONVOLVE_ONE_SAMPLE // 30 238 CONVOLVE_ONE_SAMPLE // 31 239 CONVOLVE_ONE_SAMPLE // 32 240 } else if (n == 64) { 241 CONVOLVE_ONE_SAMPLE // 1 242 CONVOLVE_ONE_SAMPLE // 2 243 CONVOLVE_ONE_SAMPLE // 3 244 CONVOLVE_ONE_SAMPLE // 4 245 CONVOLVE_ONE_SAMPLE // 5 246 CONVOLVE_ONE_SAMPLE // 6 247 CONVOLVE_ONE_SAMPLE // 7 248 CONVOLVE_ONE_SAMPLE // 8 249 CONVOLVE_ONE_SAMPLE // 9 250 CONVOLVE_ONE_SAMPLE // 10 251 CONVOLVE_ONE_SAMPLE // 11 252 CONVOLVE_ONE_SAMPLE // 12 253 CONVOLVE_ONE_SAMPLE // 13 254 CONVOLVE_ONE_SAMPLE // 14 255 CONVOLVE_ONE_SAMPLE // 15 256 CONVOLVE_ONE_SAMPLE // 16 257 CONVOLVE_ONE_SAMPLE // 17 258 CONVOLVE_ONE_SAMPLE // 18 259 CONVOLVE_ONE_SAMPLE // 19 260 CONVOLVE_ONE_SAMPLE // 20 261 CONVOLVE_ONE_SAMPLE // 21 262 CONVOLVE_ONE_SAMPLE // 22 263 CONVOLVE_ONE_SAMPLE // 23 264 CONVOLVE_ONE_SAMPLE // 24 265 CONVOLVE_ONE_SAMPLE // 25 266 CONVOLVE_ONE_SAMPLE // 26 267 CONVOLVE_ONE_SAMPLE // 27 268 CONVOLVE_ONE_SAMPLE // 28 269 CONVOLVE_ONE_SAMPLE // 29 270 CONVOLVE_ONE_SAMPLE // 30 271 CONVOLVE_ONE_SAMPLE // 31 272 CONVOLVE_ONE_SAMPLE // 32 273 CONVOLVE_ONE_SAMPLE // 33 274 CONVOLVE_ONE_SAMPLE // 34 275 CONVOLVE_ONE_SAMPLE // 35 276 CONVOLVE_ONE_SAMPLE // 36 277 CONVOLVE_ONE_SAMPLE // 37 278 CONVOLVE_ONE_SAMPLE // 38 279 CONVOLVE_ONE_SAMPLE // 39 280 CONVOLVE_ONE_SAMPLE // 40 281 CONVOLVE_ONE_SAMPLE // 41 282 CONVOLVE_ONE_SAMPLE // 42 283 CONVOLVE_ONE_SAMPLE // 43 284 CONVOLVE_ONE_SAMPLE // 44 285 CONVOLVE_ONE_SAMPLE // 45 286 CONVOLVE_ONE_SAMPLE // 46 287 CONVOLVE_ONE_SAMPLE // 47 288 CONVOLVE_ONE_SAMPLE // 48 289 CONVOLVE_ONE_SAMPLE // 49 290 CONVOLVE_ONE_SAMPLE // 50 291 CONVOLVE_ONE_SAMPLE // 51 292 CONVOLVE_ONE_SAMPLE // 52 293 CONVOLVE_ONE_SAMPLE // 53 294 CONVOLVE_ONE_SAMPLE // 54 295 CONVOLVE_ONE_SAMPLE // 55 296 CONVOLVE_ONE_SAMPLE // 56 297 CONVOLVE_ONE_SAMPLE // 57 298 CONVOLVE_ONE_SAMPLE // 58 299 CONVOLVE_ONE_SAMPLE // 59 300 CONVOLVE_ONE_SAMPLE // 60 301 CONVOLVE_ONE_SAMPLE // 61 302 CONVOLVE_ONE_SAMPLE // 62 303 CONVOLVE_ONE_SAMPLE // 63 304 CONVOLVE_ONE_SAMPLE // 64 305 } else { 306 while (n--) { 307 // Non-optimized using actual while loop. 308 CONVOLVE_ONE_SAMPLE 309 } 310 } 311 } 312 313 // Linearly interpolate the two "convolutions". 314 double result = (1.0 - kernelInterpolationFactor) * sum1 + kernelInterpolationFactor * sum2; 315 316 *destination++ = result; 317 318 --numberOfDestinationFrames; 319 if (!numberOfDestinationFrames) 320 return; 321 322 // Advance the virtual index. 323 m_virtualSourceIndex += m_scaleFactor; 324 } 325 326 // Wrap back around to the start. 327 m_virtualSourceIndex -= m_blockSize; 328 329 // Step (3) Copy r3 to r1 and r4 to r2. 330 // This wraps the last input frames back to the start of the buffer. 331 memcpy(r1, r3, sizeof(float) * (m_kernelSize / 2)); 332 memcpy(r2, r4, sizeof(float) * (m_kernelSize / 2)); 333 334 // Step (4) 335 // Refresh the buffer with more input. 336 consumeSource(r5, m_blockSize); 337 } 338 } 339 340 } // namespace WebCore 341 342 #endif // ENABLE(WEB_AUDIO) 343
