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/*
* Copyright (C) 2011 Google Inc. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of Apple Computer, Inc. ("Apple") nor the names of
* its contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY APPLE AND ITS CONTRIBUTORS "AS IS" AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL APPLE OR ITS CONTRIBUTORS BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "config.h"
#if ENABLE(WEB_AUDIO)
#include "SincResampler.h"
#include <wtf/MathExtras.h>
using namespace std;
// Input buffer layout, dividing the total buffer into regions (r0 - r5):
//
// |----------------|----------------------------------------------------------------|----------------|
//
// blockSize + kernelSize / 2
// <-------------------------------------------------------------------------------->
// r0
//
// kernelSize / 2 kernelSize / 2 kernelSize / 2 kernelSize / 2
// <---------------> <---------------> <---------------> <--------------->
// r1 r2 r3 r4
//
// blockSize
// <-------------------------------------------------------------->
// r5
// The Algorithm:
//
// 1) Consume input frames into r0 (r1 is zero-initialized).
// 2) Position kernel centered at start of r0 (r2) and generate output frames until kernel is centered at start of r4.
// or we've finished generating all the output frames.
// 3) Copy r3 to r1 and r4 to r2.
// 4) Consume input frames into r5 (zero-pad if we run out of input).
// 5) Goto (2) until all of input is consumed.
//
// note: we're glossing over how the sub-sample handling works with m_virtualSourceIndex, etc.
namespace WebCore {
SincResampler::SincResampler(double scaleFactor, unsigned kernelSize, unsigned numberOfKernelOffsets)
: m_scaleFactor(scaleFactor)
, m_kernelSize(kernelSize)
, m_numberOfKernelOffsets(numberOfKernelOffsets)
, m_kernelStorage(m_kernelSize * (m_numberOfKernelOffsets + 1))
, m_virtualSourceIndex(0.0)
, m_blockSize(512)
, m_inputBuffer(m_blockSize + m_kernelSize) // See input buffer layout above.
, m_source(0)
, m_sourceFramesAvailable(0)
{
initializeKernel();
}
void SincResampler::initializeKernel()
{
// Blackman window parameters.
double alpha = 0.16;
double a0 = 0.5 * (1.0 - alpha);
double a1 = 0.5;
double a2 = 0.5 * alpha;
// sincScaleFactor is basically the normalized cutoff frequency of the low-pass filter.
double sincScaleFactor = m_scaleFactor > 1.0 ? 1.0 / m_scaleFactor : 1.0;
// The sinc function is an idealized brick-wall filter, but since we're windowing it the
// transition from pass to stop does not happen right away. So we should adjust the
// lowpass filter cutoff slightly downward to avoid some aliasing at the very high-end.
// FIXME: this value is empirical and to be more exact should vary depending on m_kernelSize.
sincScaleFactor *= 0.9;
int n = m_kernelSize;
int halfSize = n / 2;
// Generates a set of windowed sinc() kernels.
// We generate a range of sub-sample offsets from 0.0 to 1.0.
for (unsigned offsetIndex = 0; offsetIndex <= m_numberOfKernelOffsets; ++offsetIndex) {
double subsampleOffset = static_cast<double>(offsetIndex) / m_numberOfKernelOffsets;
for (int i = 0; i < n; ++i) {
// Compute the sinc() with offset.
double s = sincScaleFactor * piDouble * (i - halfSize - subsampleOffset);
double sinc = !s ? 1.0 : sin(s) / s;
sinc *= sincScaleFactor;
// Compute Blackman window, matching the offset of the sinc().
double x = (i - subsampleOffset) / n;
double window = a0 - a1 * cos(2.0 * piDouble * x) + a2 * cos(4.0 * piDouble * x);
// Window the sinc() function and store at the correct offset.
m_kernelStorage[i + offsetIndex * m_kernelSize] = sinc * window;
}
}
}
void SincResampler::consumeSource(float* buffer, unsigned numberOfSourceFrames)
{
ASSERT(m_source);
if (!m_source)
return;
// Clamp to number of frames available and zero-pad.
unsigned framesToCopy = min(m_sourceFramesAvailable, numberOfSourceFrames);
memcpy(buffer, m_source, sizeof(float) * framesToCopy);
// Zero-pad if necessary.
if (framesToCopy < numberOfSourceFrames)
memset(buffer + framesToCopy, 0, sizeof(float) * (numberOfSourceFrames - framesToCopy));
m_sourceFramesAvailable -= framesToCopy;
m_source += numberOfSourceFrames;
}
void SincResampler::process(float* source, float* destination, unsigned numberOfSourceFrames)
{
ASSERT(m_blockSize > m_kernelSize);
ASSERT(m_inputBuffer.size() >= m_blockSize + m_kernelSize);
ASSERT(!(m_kernelSize % 2));
// Setup various region pointers in the buffer (see diagram above).
float* r0 = m_inputBuffer.data() + m_kernelSize / 2;
float* r1 = m_inputBuffer.data();
float* r2 = r0;
float* r3 = r0 + m_blockSize - m_kernelSize / 2;
float* r4 = r0 + m_blockSize;
float* r5 = r0 + m_kernelSize / 2;
m_source = source;
m_sourceFramesAvailable = numberOfSourceFrames;
unsigned numberOfDestinationFrames = static_cast<unsigned>(numberOfSourceFrames / m_scaleFactor);
// Step (1)
// Prime the input buffer.
consumeSource(r0, m_blockSize + m_kernelSize / 2);
// Step (2)
m_virtualSourceIndex = 0;
while (numberOfDestinationFrames) {
while (m_virtualSourceIndex < m_blockSize) {
// m_virtualSourceIndex lies in between two kernel offsets so figure out what they are.
int sourceIndexI = static_cast<int>(m_virtualSourceIndex);
double subsampleRemainder = m_virtualSourceIndex - sourceIndexI;
double virtualOffsetIndex = subsampleRemainder * m_numberOfKernelOffsets;
int offsetIndex = static_cast<int>(virtualOffsetIndex);
float* k1 = m_kernelStorage.data() + offsetIndex * m_kernelSize;
float* k2 = k1 + m_kernelSize;
// Initialize input pointer based on quantized m_virtualSourceIndex.
float* inputP = r1 + sourceIndexI;
// We'll compute "convolutions" for the two kernels which straddle m_virtualSourceIndex
float sum1 = 0;
float sum2 = 0;
// Figure out how much to weight each kernel's "convolution".
double kernelInterpolationFactor = virtualOffsetIndex - offsetIndex;
// Generate a single output sample.
int n = m_kernelSize;
// FIXME: add SIMD optimizations for the following. The scalar code-path can probably also be optimized better.
#define CONVOLVE_ONE_SAMPLE \
input = *inputP++; \
sum1 += input * *k1; \
sum2 += input * *k2; \
++k1; \
++k2;
{
float input;
// Optimize size 32 and size 64 kernels by unrolling the while loop.
// A 20 - 30% speed improvement was measured in some cases by using this approach.
if (n == 32) {
CONVOLVE_ONE_SAMPLE // 1
CONVOLVE_ONE_SAMPLE // 2
CONVOLVE_ONE_SAMPLE // 3
CONVOLVE_ONE_SAMPLE // 4
CONVOLVE_ONE_SAMPLE // 5
CONVOLVE_ONE_SAMPLE // 6
CONVOLVE_ONE_SAMPLE // 7
CONVOLVE_ONE_SAMPLE // 8
CONVOLVE_ONE_SAMPLE // 9
CONVOLVE_ONE_SAMPLE // 10
CONVOLVE_ONE_SAMPLE // 11
CONVOLVE_ONE_SAMPLE // 12
CONVOLVE_ONE_SAMPLE // 13
CONVOLVE_ONE_SAMPLE // 14
CONVOLVE_ONE_SAMPLE // 15
CONVOLVE_ONE_SAMPLE // 16
CONVOLVE_ONE_SAMPLE // 17
CONVOLVE_ONE_SAMPLE // 18
CONVOLVE_ONE_SAMPLE // 19
CONVOLVE_ONE_SAMPLE // 20
CONVOLVE_ONE_SAMPLE // 21
CONVOLVE_ONE_SAMPLE // 22
CONVOLVE_ONE_SAMPLE // 23
CONVOLVE_ONE_SAMPLE // 24
CONVOLVE_ONE_SAMPLE // 25
CONVOLVE_ONE_SAMPLE // 26
CONVOLVE_ONE_SAMPLE // 27
CONVOLVE_ONE_SAMPLE // 28
CONVOLVE_ONE_SAMPLE // 29
CONVOLVE_ONE_SAMPLE // 30
CONVOLVE_ONE_SAMPLE // 31
CONVOLVE_ONE_SAMPLE // 32
} else if (n == 64) {
CONVOLVE_ONE_SAMPLE // 1
CONVOLVE_ONE_SAMPLE // 2
CONVOLVE_ONE_SAMPLE // 3
CONVOLVE_ONE_SAMPLE // 4
CONVOLVE_ONE_SAMPLE // 5
CONVOLVE_ONE_SAMPLE // 6
CONVOLVE_ONE_SAMPLE // 7
CONVOLVE_ONE_SAMPLE // 8
CONVOLVE_ONE_SAMPLE // 9
CONVOLVE_ONE_SAMPLE // 10
CONVOLVE_ONE_SAMPLE // 11
CONVOLVE_ONE_SAMPLE // 12
CONVOLVE_ONE_SAMPLE // 13
CONVOLVE_ONE_SAMPLE // 14
CONVOLVE_ONE_SAMPLE // 15
CONVOLVE_ONE_SAMPLE // 16
CONVOLVE_ONE_SAMPLE // 17
CONVOLVE_ONE_SAMPLE // 18
CONVOLVE_ONE_SAMPLE // 19
CONVOLVE_ONE_SAMPLE // 20
CONVOLVE_ONE_SAMPLE // 21
CONVOLVE_ONE_SAMPLE // 22
CONVOLVE_ONE_SAMPLE // 23
CONVOLVE_ONE_SAMPLE // 24
CONVOLVE_ONE_SAMPLE // 25
CONVOLVE_ONE_SAMPLE // 26
CONVOLVE_ONE_SAMPLE // 27
CONVOLVE_ONE_SAMPLE // 28
CONVOLVE_ONE_SAMPLE // 29
CONVOLVE_ONE_SAMPLE // 30
CONVOLVE_ONE_SAMPLE // 31
CONVOLVE_ONE_SAMPLE // 32
CONVOLVE_ONE_SAMPLE // 33
CONVOLVE_ONE_SAMPLE // 34
CONVOLVE_ONE_SAMPLE // 35
CONVOLVE_ONE_SAMPLE // 36
CONVOLVE_ONE_SAMPLE // 37
CONVOLVE_ONE_SAMPLE // 38
CONVOLVE_ONE_SAMPLE // 39
CONVOLVE_ONE_SAMPLE // 40
CONVOLVE_ONE_SAMPLE // 41
CONVOLVE_ONE_SAMPLE // 42
CONVOLVE_ONE_SAMPLE // 43
CONVOLVE_ONE_SAMPLE // 44
CONVOLVE_ONE_SAMPLE // 45
CONVOLVE_ONE_SAMPLE // 46
CONVOLVE_ONE_SAMPLE // 47
CONVOLVE_ONE_SAMPLE // 48
CONVOLVE_ONE_SAMPLE // 49
CONVOLVE_ONE_SAMPLE // 50
CONVOLVE_ONE_SAMPLE // 51
CONVOLVE_ONE_SAMPLE // 52
CONVOLVE_ONE_SAMPLE // 53
CONVOLVE_ONE_SAMPLE // 54
CONVOLVE_ONE_SAMPLE // 55
CONVOLVE_ONE_SAMPLE // 56
CONVOLVE_ONE_SAMPLE // 57
CONVOLVE_ONE_SAMPLE // 58
CONVOLVE_ONE_SAMPLE // 59
CONVOLVE_ONE_SAMPLE // 60
CONVOLVE_ONE_SAMPLE // 61
CONVOLVE_ONE_SAMPLE // 62
CONVOLVE_ONE_SAMPLE // 63
CONVOLVE_ONE_SAMPLE // 64
} else {
while (n--) {
// Non-optimized using actual while loop.
CONVOLVE_ONE_SAMPLE
}
}
}
// Linearly interpolate the two "convolutions".
double result = (1.0 - kernelInterpolationFactor) * sum1 + kernelInterpolationFactor * sum2;
*destination++ = result;
--numberOfDestinationFrames;
if (!numberOfDestinationFrames)
return;
// Advance the virtual index.
m_virtualSourceIndex += m_scaleFactor;
}
// Wrap back around to the start.
m_virtualSourceIndex -= m_blockSize;
// Step (3) Copy r3 to r1 and r4 to r2.
// This wraps the last input frames back to the start of the buffer.
memcpy(r1, r3, sizeof(float) * (m_kernelSize / 2));
memcpy(r2, r4, sizeof(float) * (m_kernelSize / 2));
// Step (4)
// Refresh the buffer with more input.
consumeSource(r5, m_blockSize);
}
}
} // namespace WebCore
#endif // ENABLE(WEB_AUDIO)
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