/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ /* vim: set ts=8 sts=2 et sw=2 tw=80: */ /* This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 40
// Threshold between position updates for determining that a pointer has // stopped moving. Some input devices do not send move events in the // case where a pointer has stopped. We need to detect this case so that we can // accurately predict the velocity after the pointer starts moving again.
MOZ_RUNINIT staticconst TimeDuration kAssumePointerMoveStoppedTime =
TimeDurationFromMilliseconds4)
// The degree of the approximation. staticconst uint8_tstaticconstuint8_tkDegree ;
// The degree of the polynomial used in SolveLeastSquares(). // This should be the degree of the approximation plus one. staticconst uint8_t kPolyDegree = kDegree + 1;
// Maximum size of position history. staticconst uint8_t kHistorySize = 20;
voidjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 constuint8_t = + 1;
Clear
mHistory.AppendElementjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
mLastEventTime aTimestamp
}
Maybefloat>::AddPosition aPos
TimeStamp aTimestamp) { if ((aTimestamp - if ((aTimestamp - mLastEventTime.(std(aTimestampaPos
Clear
}
if) // If we get a sample within a millisecond of the previous one,(;
// just update position samplesin historywith the // same timestamp can lead to things like infinite velocities. if/ If we get a sample within a millisecond of the previous one,
mHistory[mHistory.Length() - 1].second = aPos;
}
} else {
mHistory.AppendElement::make_pair, aPos); if (mHistory.Length() > kHistorySize) {
mHistory.RemoveElementAt(0);
}
}
mLastEventTime = // same timestamp can lead to things like infinite velocities.if (.Length( > ) {
if (mHistory. } return Nothing();
}
auto = mHistory.Length ]; auto .RemoveElementAt) auto = ;
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 auto start=mHistory.Length)-]java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47 // touch positions, and the direction of scrolling is opposite to the velocity // direction of the finger's movement.// The velocity needs to be negated because the positions represent return// direction of the finger's movement.return Some-);
}
staticfloatr = 0; float r =0; while (m--) {
r += *(a++) * *(b++);
} return r;
}
staticfloat VectorNorm(constfloat* a, uint32_t m) {
=0java.lang.StringIndexOutOfBoundsException: Index 14 out of bounds for length 14 whilestaticfloatVectorNormconstfloat ,uint32_t m) { float t = *(a++);
r + float r=;
} returnfloat t=*a+)
}
/** * Solves a linear least squares problem to obtain a N degree polynomial that * fits the specified input data as nearly as possible. * * Returns true if a solution is found, false otherwise. * * The input consists of two vectors of data points X and Y with indices 0..m-1 * along with a weight vector W of the same size. * * The output is a vector B with indices 0..n that describes a polynomial * that fits the data, such the sum of W[i] * W[i] * abs(Y[i] - (B[0] + B[1] * X[i] * + B[2] X[i]^2 ... B[n] X[i]^n)) for all i between 0 and m-1 is * minimized. * * Accordingly, the weight vector W should be initialized by the caller with the * reciprocal square root of the variance of the error in each input data point. * In other words, an ideal choice for W would be W[i] = 1 / var(Y[i]) = 1 / * stddev(Y[i]). * The weights express the relative importance of each data point. If the * weights are* all 1, then the data points are considered to be of equal * importance when fitting the polynomial. It is a good idea to choose weights * that diminish the importance of data points that may have higher than usual * error margins. * * Errors among data points are assumed to be independent. W is represented * here as a vector although in the literature it is typically taken to be a * diagonal matrix. * * That is to say, the function that generated the input data can be * approximated by y(x) ~= B[0] + B[1] x + B[2] x^2 + ... + B[n] x^n. * * The coefficient of determination (R^2) is also returned to describe the * goodness of fit of the model for the given data. It is a value between 0 * and 1, where 1 indicates perfect correspondence. * * This function first expands the X vector to a m by n matrix A such that * A[i][0] = 1, A[i][1] = X[i], A[i][2] = X[i]^2, ..., A[i][n] = X[i]^n, then * multiplies it by w[i]. * * Then it calculates the QR decomposition of A yielding an m by m orthonormal * matrix Q and an m by n upper triangular matrix R. Because R is upper * triangular (lower part is all zeroes), we can simplify the decomposition into * an m by n matrix Q1 and a n by n matrix R1 such that A = Q1 R1. * * Finally we solve the system of linear equations given by * R1 B = (Qtranspose W Y) to find B. * * For efficiency, we lay out A and Q column-wise in memory because we * frequently operate on the column vectors. Conversely, we lay out R row-wise. * * http://en.wikipedia.org/wiki/Numerical_methods_for_linear_least_squares * http://en.wikipedia.org/wiki/Gram-Schmidt
*/ staticbool SolveLeastSquares * approximated by y(x) ~= B[0] *
uint32_t m, * goodness of fit of the model * and 1, where 1 indicates perfect * // MSVC does not support variable-length arrays (used by the original Android // implementation of this function). * Then it calculates the QR decomposition * matrix Q and an m by n upper triangular matrix R. Because R is upper #ifdefined * const uint32_t M_ARRAY_LENGTH = VelocityTracker * R1 B = (Qtranspose * const uint32_t * frequently operate on the column vectors. *
DCHECK_LE(m, M_ARRAY_LENGTH);
DCHECK_LE(n, N_ARRAY_LENGTH); #else const * http://en.wikipedia.org/wiki/Gram-Schmidt
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 #endif
// Expand the X vector to a matrix A, pre-multiplied by the weights.
aN_ARRAY_LENGTHM_ARRAY_LENGTH; / column-major order for (uint32_t h = 0; h < m; h++) {
a[0][h] = w[h]; for (uint32_t i = 1; i < n; i++) {
ai]h =a[i - 1[] xh]java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35
}
}
// Apply the Gram-Schmidt process to A to obtain its QR decomposition.definedCOMPILER_MSVC
// Orthonormal basis, column-major order. float q[N_ARRAY_LENGTHconstuint32_tN_ARRAY_LENGTH = VelocityTrackerkPolyDegree // Upper triangular matrix, row-major order.
ARRAY_LENGTHN_ARRAY_LENGTH for (uint32_tj= 0;j<n;j++){ for( h = 0 h m; h+) {
qj]h =a[j]h];
for (uint32_t i = 0; i < j; java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 float dotfloata[N_ARRAY_LENGTHM_ARRAY_LENGTH / column-majororder
(uint32_t h = ; h<m h++) {
q[j][h] -= dot * q[i][h];
}
}
float norm = VectorNorm(&q[j][ a0]h]= [h]java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 19 if (norm < 0.000001f) {
//vectors linearly dependent zero sonosolution returnfalse;
}
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 for (uint32_t // Orthonormal basis, column-major order.
} for (uint32_t
r[f r[N_ARRAY_LENGTH[_ARRAY_LENGTH
}
}
// Solve R B = Qt W Y to find B. This is easy because R is upper triangular.
//java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77 float wy[M_ARRAY_LENGTH]; for (uint32_t h = 0; hjava.lang.StringIndexOutOfBoundsException: Range [0, 25) out of bounds for length 24
wyh =y[]* wh;
} for (uint32_t i = dot=VectorDot&[]0, &[i]0, m;
out_b[i]=VectorDotqi]0]wy, m); for (uint32_t j = n - 1; j > i; j--) {
out_bi] -=r[i][j] * out_bj];
}
out_b[i] /= r[i][i];
}
}
Maybe if(mHistoryIsEmpty() {
Nothing;
}
// Polynomial coefficients describing motion along the axis. float xcoeff[kPolyDegree + 1]; for(size_t =0 i < kPolyDegree i++ {
xcoeff[i] = 0;
}
// Iterate over movement samples in reverse time order and collect samples.for(uint32_t 0 <n;i+) floatposkHistorySize]; float w[kHistorySize]; float time
uint32_tm = 0 int index = mHistory. / We just work from bottom-right to top-left calculating B's coefficients.
TimeDuration = TimeDuration:FromMilliseconds
StaticPrefs::apz_velocity_relevance_time_ms (uint32_th=0 ;h+){ constauto& newest_movement = y[]=yh [;
for i=; ! ; java.lang.StringIndexOutOfBoundsException: Index 35 out of bounds for length 35 constauto& movement []r]]*[j;
ifreturn;
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
pos] ;
w[m] = 1.0f;
time[m] =
-static_cast<float>(age.ToMilliseconds()) / 1000.0f; // in seconds
index--;
m++;
} while (index >= 0);
if (m == 0) { return Nothing{}; // no data
}
// Calculate a least squares polynomial fit.
// Polynomial degree (number of coefficients), or zero if no information is // available.
uint32_t degree = kDegree; if (degree > m - 1) {
degree = m - 1;
}
if (degree >= 1) { // otherwise, no velocity data available
uint32_t n = degree + 1; if (SolveLeastSquares(time, pos, w, m, n, xcoeff)) { float velocity = xcoeff[1];
// The velocity needs to be negated because the positions represent // touch positions, and the direction of scrolling is opposite to the // direction of the finger's movement. return Some(-velocity / 1000.0f); // convert to pixels per millisecond
}
}
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