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-rw-r--r--libs/input/VelocityTracker.cpp122
1 files changed, 87 insertions, 35 deletions
diff --git a/libs/input/VelocityTracker.cpp b/libs/input/VelocityTracker.cpp
index 7f6b1576cf..62acea360e 100644
--- a/libs/input/VelocityTracker.cpp
+++ b/libs/input/VelocityTracker.cpp
@@ -23,13 +23,14 @@
// Log debug messages about the progress of the algorithm itself.
#define DEBUG_STRATEGY 0
-#include <math.h>
+#include <inttypes.h>
#include <limits.h>
+#include <math.h>
+#include <android-base/stringprintf.h>
#include <cutils/properties.h>
#include <input/VelocityTracker.h>
#include <utils/BitSet.h>
-#include <utils/String8.h>
#include <utils/Timers.h>
namespace android {
@@ -46,8 +47,7 @@ static const nsecs_t ASSUME_POINTER_STOPPED_TIME = 40 * NANOS_PER_MS;
static float vectorDot(const float* a, const float* b, uint32_t m) {
float r = 0;
- while (m) {
- m--;
+ for (size_t i = 0; i < m; i++) {
r += *(a++) * *(b++);
}
return r;
@@ -55,8 +55,7 @@ static float vectorDot(const float* a, const float* b, uint32_t m) {
static float vectorNorm(const float* a, uint32_t m) {
float r = 0;
- while (m) {
- m--;
+ for (size_t i = 0; i < m; i++) {
float t = *(a++);
r += t * t;
}
@@ -64,36 +63,36 @@ static float vectorNorm(const float* a, uint32_t m) {
}
#if DEBUG_STRATEGY || DEBUG_VELOCITY
-static String8 vectorToString(const float* a, uint32_t m) {
- String8 str;
- str.append("[");
- while (m--) {
- str.appendFormat(" %f", *(a++));
- if (m) {
- str.append(",");
+static std::string vectorToString(const float* a, uint32_t m) {
+ std::string str;
+ str += "[";
+ for (size_t i = 0; i < m; i++) {
+ if (i) {
+ str += ",";
}
+ str += android::base::StringPrintf(" %f", *(a++));
}
- str.append(" ]");
+ str += " ]";
return str;
}
-static String8 matrixToString(const float* a, uint32_t m, uint32_t n, bool rowMajor) {
- String8 str;
- str.append("[");
+static std::string matrixToString(const float* a, uint32_t m, uint32_t n, bool rowMajor) {
+ std::string str;
+ str = "[";
for (size_t i = 0; i < m; i++) {
if (i) {
- str.append(",");
+ str += ",";
}
- str.append(" [");
+ str += " [";
for (size_t j = 0; j < n; j++) {
if (j) {
- str.append(",");
+ str += ",";
}
- str.appendFormat(" %f", a[rowMajor ? i * n + j : j * m + i]);
+ str += android::base::StringPrintf(" %f", a[rowMajor ? i * n + j : j * m + i]);
}
- str.append(" ]");
+ str += " ]";
}
- str.append(" ]");
+ str += " ]";
return str;
}
#endif
@@ -244,7 +243,7 @@ void VelocityTracker::addMovement(nsecs_t eventTime, BitSet32 idBits, const Posi
mStrategy->addMovement(eventTime, idBits, positions);
#if DEBUG_VELOCITY
- ALOGD("VelocityTracker: addMovement eventTime=%lld, idBits=0x%08x, activePointerId=%d",
+ ALOGD("VelocityTracker: addMovement eventTime=%" PRId64 ", idBits=0x%08x, activePointerId=%d",
eventTime, idBits.value, mActivePointerId);
for (BitSet32 iterBits(idBits); !iterBits.isEmpty(); ) {
uint32_t id = iterBits.firstMarkedBit();
@@ -256,8 +255,8 @@ void VelocityTracker::addMovement(nsecs_t eventTime, BitSet32 idBits, const Posi
"estimator (degree=%d, xCoeff=%s, yCoeff=%s, confidence=%f)",
id, positions[index].x, positions[index].y,
int(estimator.degree),
- vectorToString(estimator.xCoeff, estimator.degree + 1).string(),
- vectorToString(estimator.yCoeff, estimator.degree + 1).string(),
+ vectorToString(estimator.xCoeff, estimator.degree + 1).c_str(),
+ vectorToString(estimator.yCoeff, estimator.degree + 1).c_str(),
estimator.confidence);
}
#endif
@@ -443,8 +442,8 @@ static bool solveLeastSquares(const float* x, const float* y,
const float* w, uint32_t m, uint32_t n, float* outB, float* outDet) {
#if DEBUG_STRATEGY
ALOGD("solveLeastSquares: m=%d, n=%d, x=%s, y=%s, w=%s", int(m), int(n),
- vectorToString(x, m).string(), vectorToString(y, m).string(),
- vectorToString(w, m).string());
+ vectorToString(x, m).c_str(), vectorToString(y, m).c_str(),
+ vectorToString(w, m).c_str());
#endif
// Expand the X vector to a matrix A, pre-multiplied by the weights.
@@ -456,7 +455,7 @@ static bool solveLeastSquares(const float* x, const float* y,
}
}
#if DEBUG_STRATEGY
- ALOGD(" - a=%s", matrixToString(&a[0][0], m, n, false /*rowMajor*/).string());
+ ALOGD(" - a=%s", matrixToString(&a[0][0], m, n, false /*rowMajor*/).c_str());
#endif
// Apply the Gram-Schmidt process to A to obtain its QR decomposition.
@@ -491,8 +490,8 @@ static bool solveLeastSquares(const float* x, const float* y,
}
}
#if DEBUG_STRATEGY
- ALOGD(" - q=%s", matrixToString(&q[0][0], m, n, false /*rowMajor*/).string());
- ALOGD(" - r=%s", matrixToString(&r[0][0], n, n, true /*rowMajor*/).string());
+ ALOGD(" - q=%s", matrixToString(&q[0][0], m, n, false /*rowMajor*/).c_str());
+ ALOGD(" - r=%s", matrixToString(&r[0][0], n, n, true /*rowMajor*/).c_str());
// calculate QR, if we factored A correctly then QR should equal A
float qr[n][m];
@@ -504,7 +503,7 @@ static bool solveLeastSquares(const float* x, const float* y,
}
}
}
- ALOGD(" - qr=%s", matrixToString(&qr[0][0], m, n, false /*rowMajor*/).string());
+ ALOGD(" - qr=%s", matrixToString(&qr[0][0], m, n, false /*rowMajor*/).c_str());
#endif
// Solve R B = Qt W Y to find B. This is easy because R is upper triangular.
@@ -522,7 +521,7 @@ static bool solveLeastSquares(const float* x, const float* y,
outB[i] /= r[i][i];
}
#if DEBUG_STRATEGY
- ALOGD(" - b=%s", vectorToString(outB, n).string());
+ ALOGD(" - b=%s", vectorToString(outB, n).c_str());
#endif
// Calculate the coefficient of determination as 1 - (SSerr / SStot) where
@@ -557,6 +556,46 @@ static bool solveLeastSquares(const float* x, const float* y,
return true;
}
+/*
+ * Optimized unweighted second-order least squares fit. About 2x speed improvement compared to
+ * the default implementation
+ */
+static float solveUnweightedLeastSquaresDeg2(const float* x, const float* y, size_t count) {
+ float sxi = 0, sxiyi = 0, syi = 0, sxi2 = 0, sxi3 = 0, sxi2yi = 0, sxi4 = 0;
+
+ for (size_t i = 0; i < count; i++) {
+ float xi = x[i];
+ float yi = y[i];
+ float xi2 = xi*xi;
+ float xi3 = xi2*xi;
+ float xi4 = xi3*xi;
+ float xi2yi = xi2*yi;
+ float xiyi = xi*yi;
+
+ sxi += xi;
+ sxi2 += xi2;
+ sxiyi += xiyi;
+ sxi2yi += xi2yi;
+ syi += yi;
+ sxi3 += xi3;
+ sxi4 += xi4;
+ }
+
+ float Sxx = sxi2 - sxi*sxi / count;
+ float Sxy = sxiyi - sxi*syi / count;
+ float Sxx2 = sxi3 - sxi*sxi2 / count;
+ float Sx2y = sxi2yi - sxi2*syi / count;
+ float Sx2x2 = sxi4 - sxi2*sxi2 / count;
+
+ float numerator = Sxy*Sx2x2 - Sx2y*Sxx2;
+ float denominator = Sxx*Sx2x2 - Sxx2*Sxx2;
+ if (denominator == 0) {
+ ALOGW("division by 0 when computing velocity, Sxx=%f, Sx2x2=%f, Sxx2=%f", Sxx, Sx2x2, Sxx2);
+ return 0;
+ }
+ return numerator/denominator;
+}
+
bool LeastSquaresVelocityTrackerStrategy::getEstimator(uint32_t id,
VelocityTracker::Estimator* outEstimator) const {
outEstimator->clear();
@@ -598,6 +637,19 @@ bool LeastSquaresVelocityTrackerStrategy::getEstimator(uint32_t id,
degree = m - 1;
}
if (degree >= 1) {
+ if (degree == 2 && mWeighting == WEIGHTING_NONE) { // optimize unweighted, degree=2 fit
+ outEstimator->time = newestMovement.eventTime;
+ outEstimator->degree = 2;
+ outEstimator->confidence = 1;
+ outEstimator->xCoeff[0] = 0; // only slope is calculated, set rest of coefficients = 0
+ outEstimator->yCoeff[0] = 0;
+ outEstimator->xCoeff[1] = solveUnweightedLeastSquaresDeg2(time, x, m);
+ outEstimator->yCoeff[1] = solveUnweightedLeastSquaresDeg2(time, y, m);
+ outEstimator->xCoeff[2] = 0;
+ outEstimator->yCoeff[2] = 0;
+ return true;
+ }
+
float xdet, ydet;
uint32_t n = degree + 1;
if (solveLeastSquares(time, x, w, m, n, outEstimator->xCoeff, &xdet)
@@ -608,8 +660,8 @@ bool LeastSquaresVelocityTrackerStrategy::getEstimator(uint32_t id,
#if DEBUG_STRATEGY
ALOGD("estimate: degree=%d, xCoeff=%s, yCoeff=%s, confidence=%f",
int(outEstimator->degree),
- vectorToString(outEstimator->xCoeff, n).string(),
- vectorToString(outEstimator->yCoeff, n).string(),
+ vectorToString(outEstimator->xCoeff, n).c_str(),
+ vectorToString(outEstimator->yCoeff, n).c_str(),
outEstimator->confidence);
#endif
return true;