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-rw-r--r--source/application/main/PlatformMath.cc167
1 files changed, 133 insertions, 34 deletions
diff --git a/source/application/main/PlatformMath.cc b/source/application/main/PlatformMath.cc
index 0043635..505d357 100644
--- a/source/application/main/PlatformMath.cc
+++ b/source/application/main/PlatformMath.cc
@@ -34,6 +34,15 @@ namespace math {
#endif /* ARM_DSP_AVAILABLE */
}
+ float MathUtils::SineF32(float radians)
+ {
+#if ARM_DSP_AVAILABLE
+ return arm_sin_f32(radians);
+#else /* ARM_DSP_AVAILABLE */
+ return sin(radians);
+#endif /* ARM_DSP_AVAILABLE */
+ }
+
float MathUtils::SqrtF32(float input)
{
#if ARM_DSP_AVAILABLE
@@ -89,54 +98,144 @@ namespace math {
#endif /* ARM_DSP_AVAILABLE */
}
- bool MathUtils::FftInitF32(const uint16_t fftLen, arm::app::math::FftInstance& fftInstance)
+ void MathUtils::FftInitF32(const uint16_t fftLen,
+ FftInstance& fftInstance,
+ const FftType type)
{
+ fftInstance.m_fftLen = fftLen;
+ fftInstance.m_initialised = false;
+ fftInstance.m_optimisedOptionAvailable = false;
+ fftInstance.m_type = type;
+
#if ARM_DSP_AVAILABLE
- if (!fftInstance.initialised) {
- arm_status status = arm_rfft_fast_init_f32(&fftInstance.instance, fftLen);
+ arm_status status = ARM_MATH_ARGUMENT_ERROR;
+ switch (fftInstance.m_type) {
+ case FftType::real:
+ status = arm_rfft_fast_init_f32(&fftInstance.m_instanceReal, fftLen);
+ break;
- if (ARM_MATH_SUCCESS != status) {
- return false;
- }
- fftInstance.initialised = true;
+ case FftType::complex:
+ status = arm_cfft_init_f32(&fftInstance.m_instanceComplex, fftLen);
+ break;
+
+ default:
+ printf_err("Invalid FFT type\n");
+ return;
+ }
+
+ if (ARM_MATH_SUCCESS != status) {
+ printf_err("Failed to initialise FFT for len %d\n", fftLen);
+ } else {
+ fftInstance.m_optimisedOptionAvailable = true;
}
-#else
- UNUSED(fftLen);
- UNUSED(fftInstance);
#endif /* ARM_DSP_AVAILABLE */
- return true;
+
+ if (!fftInstance.m_optimisedOptionAvailable) {
+ debug("Non optimised FFT will be used\n.");
+ }
+
+ fftInstance.m_initialised = true;
+ }
+
+ static void FftRealF32(std::vector<float>& input,
+ std::vector<float>& fftOutput)
+ {
+ const size_t inputLength = input.size();
+ const size_t halfLength = input.size() / 2;
+
+ fftOutput[0] = 0;
+ fftOutput[1] = 0;
+ for (size_t t = 0; t < inputLength; t++) {
+ fftOutput[0] += input[t];
+ fftOutput[1] += input[t] *
+ MathUtils::CosineF32(2 * M_PI * halfLength * t / inputLength);
+ }
+
+ for (size_t k = 1, j = 2; k < halfLength; ++k, j += 2) {
+ float sumReal = 0;
+ float sumImag = 0;
+
+ const float theta = static_cast<float>(2 * M_PI * k / inputLength);
+
+ for (size_t t = 0; t < inputLength; t++) {
+ const auto angle = static_cast<float>(t * theta);
+ sumReal += input[t] * MathUtils::CosineF32(angle);
+ sumImag += -input[t]* MathUtils::SineF32(angle);
+ }
+
+ /* Arrange output to [real0, realN/2, real1, im1, real2, im2, ...] */
+ fftOutput[j] = sumReal;
+ fftOutput[j + 1] = sumImag;
+ }
+ }
+
+ static void FftComplexF32(std::vector<float>& input,
+ std::vector<float>& fftOutput)
+ {
+ const size_t fftLen = input.size() / 2;
+ for (size_t k = 0; k < fftLen; k++) {
+ float sumReal = 0;
+ float sumImag = 0;
+ const auto theta = static_cast<float>(2 * M_PI * k / fftLen);
+ for (size_t t = 0; t < fftLen; t++) {
+ const auto angle = theta * t;
+ const auto cosine = MathUtils::CosineF32(angle);
+ const auto sine = MathUtils::SineF32(angle);
+ sumReal += input[t*2] * cosine + input[t*2 + 1] * sine;
+ sumImag += -input[t*2] * sine + input[t*2 + 1] * cosine;
+ }
+ fftOutput[k*2] = sumReal;
+ fftOutput[k*2 + 1] = sumImag;
+ }
}
void MathUtils::FftF32(std::vector<float>& input,
std::vector<float>& fftOutput,
arm::app::math::FftInstance& fftInstance)
{
+ if (!fftInstance.m_initialised) {
+ printf_err("FFT uninitialised\n");
+ return;
+ } else if (input.size() < fftInstance.m_fftLen) {
+ printf_err("FFT len: %" PRIu16 "; input len: %zu\n",
+ fftInstance.m_fftLen, input.size());
+ return;
+ } else if (fftOutput.size() < input.size()) {
+ printf_err("Output vector len insufficient to hold FFTs\n");
+ return;
+ }
+
+ switch (fftInstance.m_type) {
+ case FftType::real:
+
#if ARM_DSP_AVAILABLE
- arm_rfft_fast_f32(&fftInstance.instance, input.data(), fftOutput.data(), 0);
-#else
- UNUSED(fftInstance);
- const int inputLength = input.size();
-
- for (int k = 0; k <= inputLength / 2; k++) {
- float sumReal = 0, sumImag = 0;
-
- for (int t = 0; t < inputLength; t++) {
- auto angle = static_cast<float>(2 * M_PI * t * k / inputLength);
- sumReal += input[t] * cosf(angle);
- sumImag += -input[t] * sinf(angle);
+ if (fftInstance.m_optimisedOptionAvailable) {
+ arm_rfft_fast_f32(&fftInstance.m_instanceReal, input.data(), fftOutput.data(), 0);
+ return;
}
+#endif /* ARM_DSP_AVAILABLE */
+ FftRealF32(input, fftOutput);
+ return;
- /* Arrange output to [real0, realN/2, real1, im1, real2, im2, ...] */
- if (k == 0) {
- fftOutput[0] = sumReal;
- } else if (k == inputLength / 2) {
- fftOutput[1] = sumReal;
- } else {
- fftOutput[k*2] = sumReal;
- fftOutput[k*2 + 1] = sumImag;
- };
- }
+ case FftType::complex:
+ if (input.size() < fftInstance.m_fftLen * 2) {
+ printf_err("Complex FFT instance should have input size >= (FFT len x 2)");
+ return;
+ }
+#if ARM_DSP_AVAILABLE
+ if (fftInstance.m_optimisedOptionAvailable) {
+ fftOutput = input; /* Complex function works in-place */
+ arm_cfft_f32(&fftInstance.m_instanceComplex, fftOutput.data(), 0, 0);
+ return;
+ }
#endif /* ARM_DSP_AVAILABLE */
+ FftComplexF32(input, fftOutput);
+ return;
+
+ default:
+ printf_err("Invalid FFT type\n");
+ return;
+ }
}
void MathUtils::VecLogarithmF32(std::vector <float>& input,
@@ -193,4 +292,4 @@ namespace math {
} /* namespace math */
} /* namespace app */
-} /* namespace arm */ \ No newline at end of file
+} /* namespace arm */