Import LappedTransform and friends.

Add code for doing block-based frequency domain processing. Developed
and reviewed in isolation. Corresponding export CL:
https://chromereviews.googleplex.com/95187013/

R=bercic@google.com, kjellander@webrtc.org, turaj@webrtc.org

Review URL: https://webrtc-codereview.appspot.com/31539004

git-svn-id: http://webrtc.googlecode.com/svn/trunk@7359 4adac7df-926f-26a2-2b94-8c16560cd09d
diff --git a/webrtc/common_audio/real_fourier_unittest.cc b/webrtc/common_audio/real_fourier_unittest.cc
new file mode 100644
index 0000000..8660d4d
--- /dev/null
+++ b/webrtc/common_audio/real_fourier_unittest.cc
@@ -0,0 +1,105 @@
+/*
+ *  Copyright (c) 2014 The WebRTC project authors. All Rights Reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+ */
+
+#include "webrtc/common_audio/real_fourier.h"
+
+#include <stdlib.h>
+
+#include "testing/gtest/include/gtest/gtest.h"
+
+namespace webrtc {
+
+using std::complex;
+
+TEST(RealFourierStaticsTest, AllocatorAlignment) {
+  {
+    RealFourier::fft_real_scoper real;
+    real = RealFourier::AllocRealBuffer(3);
+    ASSERT_TRUE(real.get() != nullptr);
+    int64_t ptr_value = reinterpret_cast<int64_t>(real.get());
+    ASSERT_EQ(ptr_value % RealFourier::kFftBufferAlignment, 0);
+  }
+  {
+    RealFourier::fft_cplx_scoper cplx;
+    cplx = RealFourier::AllocCplxBuffer(3);
+    ASSERT_TRUE(cplx.get() != nullptr);
+    int64_t ptr_value = reinterpret_cast<int64_t>(cplx.get());
+    ASSERT_EQ(ptr_value % RealFourier::kFftBufferAlignment, 0);
+  }
+}
+
+TEST(RealFourierStaticsTest, OrderComputation) {
+  ASSERT_EQ(RealFourier::FftOrder(2000000), -1);
+  ASSERT_EQ(RealFourier::FftOrder((1 << RealFourier::kMaxFftOrder) + 1), -1);
+  ASSERT_EQ(RealFourier::FftOrder(1 << RealFourier::kMaxFftOrder),
+            RealFourier::kMaxFftOrder);
+  ASSERT_EQ(RealFourier::FftOrder(13), 4);
+  ASSERT_EQ(RealFourier::FftOrder(32), 5);
+  ASSERT_EQ(RealFourier::FftOrder(2), 1);
+  ASSERT_EQ(RealFourier::FftOrder(1), 0);
+  ASSERT_EQ(RealFourier::FftOrder(0), 0);
+}
+
+TEST(RealFourierStaticsTest, ComplexLengthComputation) {
+  ASSERT_EQ(RealFourier::ComplexLength(1), 2);
+  ASSERT_EQ(RealFourier::ComplexLength(2), 3);
+  ASSERT_EQ(RealFourier::ComplexLength(3), 5);
+  ASSERT_EQ(RealFourier::ComplexLength(4), 9);
+  ASSERT_EQ(RealFourier::ComplexLength(5), 17);
+  ASSERT_EQ(RealFourier::ComplexLength(7), 65);
+}
+
+class RealFourierTest : public ::testing::Test {
+ protected:
+  RealFourierTest()
+      : rf_(new RealFourier(2)),
+        real_buffer_(RealFourier::AllocRealBuffer(4)),
+        cplx_buffer_(RealFourier::AllocCplxBuffer(3)) {}
+
+  ~RealFourierTest() {
+    delete rf_;
+  }
+
+  const RealFourier* rf_;
+  const RealFourier::fft_real_scoper real_buffer_;
+  const RealFourier::fft_cplx_scoper cplx_buffer_;
+};
+
+TEST_F(RealFourierTest, SimpleForwardTransform) {
+  real_buffer_[0] = 1.0f;
+  real_buffer_[1] = 2.0f;
+  real_buffer_[2] = 3.0f;
+  real_buffer_[3] = 4.0f;
+
+  rf_->Forward(real_buffer_.get(), cplx_buffer_.get());
+
+  ASSERT_NEAR(cplx_buffer_[0].real(), 10.0f, 1e-8f);
+  ASSERT_NEAR(cplx_buffer_[0].imag(), 0.0f, 1e-8f);
+  ASSERT_NEAR(cplx_buffer_[1].real(), -2.0f, 1e-8f);
+  ASSERT_NEAR(cplx_buffer_[1].imag(), 2.0f, 1e-8f);
+  ASSERT_NEAR(cplx_buffer_[2].real(), -2.0f, 1e-8f);
+  ASSERT_NEAR(cplx_buffer_[2].imag(), 0.0f, 1e-8f);
+}
+
+TEST_F(RealFourierTest, SimpleBackwardTransform) {
+  cplx_buffer_[0] = complex<float>(10.0f, 0.0f);
+  cplx_buffer_[1] = complex<float>(-2.0f, 2.0f);
+  cplx_buffer_[2] = complex<float>(-2.0f, 0.0f);
+
+  rf_->Inverse(cplx_buffer_.get(), real_buffer_.get());
+
+  ASSERT_NEAR(real_buffer_[0], 1.0f, 1e-8f);
+  ASSERT_NEAR(real_buffer_[1], 2.0f, 1e-8f);
+  ASSERT_NEAR(real_buffer_[2], 3.0f, 1e-8f);
+  ASSERT_NEAR(real_buffer_[3], 4.0f, 1e-8f);
+}
+
+}  // namespace webrtc
+